From 978eb99f02984e18bc1329e2a9e2153fdfcc7617 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Wed, 20 Jan 2021 16:08:01 +0100
Subject: [PATCH 001/203] New way to deal with electric field in triangles.
 Some improvements but rectangles are still recommended for regular grids.

---
 src/modules/mesh/2DCyl/moduleMeshCyl.f90 | 15 +++++++++++----
 src/modules/mesh/moduleMesh.f90          |  2 +-
 2 files changed, 12 insertions(+), 5 deletions(-)

diff --git a/src/modules/mesh/2DCyl/moduleMeshCyl.f90 b/src/modules/mesh/2DCyl/moduleMeshCyl.f90
index 721361b..ad377dc 100644
--- a/src/modules/mesh/2DCyl/moduleMeshCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMeshCyl.f90
@@ -717,7 +717,6 @@ MODULE moduleMeshCyl
       self%n3%v = self%n3%v + self%arNodes(3)
 
       !Derivatives in z/r for shape functions (node independent)
-      !TODO: This is used because invJ.dPsi does not produce the right Electric field
       A = self%z(2)*self%r(3) - self%z(3)*self%r(2) + &
           self%z(3)*self%r(1) - self%z(1)*self%r(3) + &
           self%z(1)*self%r(2) - self%z(2)*self%r(1)
@@ -971,15 +970,23 @@ MODULE moduleMeshCyl
 
       CLASS(meshVolCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: dPsi(1:2,1:3)
+      REAL(8):: dPsiR(1:2,1:3)!Derivative of shpae functions in global coordinates
+      REAL(8):: invJ(1:2,1:2), detJ
       REAL(8):: phi(1:3)
+      REAL(8):: dummy
       REAL(8):: EF(1:3)
 
       phi = (/self%n1%emData%phi, &
               self%n2%emData%phi, &
-              self%n3%emData%phi/)
+              self%n3%emData%phi /)
 
-      EF(1) = -DOT_PRODUCT(self%dPsiZ(:), phi)
-      EF(2) = -DOT_PRODUCT(self%dPsiR(:), phi)
+      dPsi  =  self%dPsi(xi)
+      detJ  =  self%detJac(xi,dPsi)
+      invJ  =  self%invJac(xi,dPsi)
+      dPsiR =  MATMUL(invJ, dPsi)/detJ
+      EF(1) = -DOT_PRODUCT(dPsiR(1,:), phi)
+      EF(2) = -DOT_PRODUCT(dPsiR(2,:), phi)
       EF(3) =  0.D0
 
     END FUNCTION gatherEFTria
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 0869fb3..3c9e7ed 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -70,7 +70,7 @@ MODULE moduleMesh
     CONTAINS
       PROCEDURE(initEdge_interface),     DEFERRED, PASS:: init
       PROCEDURE(getNodesEdge_interface), DEFERRED, PASS:: getNodes
-      PROCEDURE(randPosEdge_interface),      DEFERRED, PASS:: randPos
+      PROCEDURE(randPosEdge_interface),  DEFERRED, PASS:: randPos
 
   END TYPE meshEdge
 

From 2a6628d52969dbec08cedd30fd5997801200bab7 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Wed, 20 Jan 2021 16:36:01 +0100
Subject: [PATCH 002/203] Added and option to include an output folder name.
 The date and time of creation is still appended to the folder name provided.

---
 doc/user-manual/fpakc_UserManual.pdf | Bin 155571 -> 156032 bytes
 doc/user-manual/fpakc_UserManual.tex |   6 +++++-
 runs/1D_Cathode/inputCart.json       |   3 ++-
 runs/1D_Cathode/inputRad.json        |   3 ++-
 runs/ALPHIE_Grid/inputDiffTau.json   |   3 ++-
 runs/ALPHIE_Grid/inputSameTau.json   |   3 ++-
 runs/Argon_Expansion/CX_case.json    |   3 ++-
 runs/Argon_Expansion/base_case.json  |   3 ++-
 src/modules/moduleInput.f90          |  20 ++++++++++++++++----
 9 files changed, 33 insertions(+), 11 deletions(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index 0e703060c52b674d388a4ce85514e5fdaa16392c..e4bd94ea0d4a4ed455624eb1ad8fcfd762261cbe 100644
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index ac366ed..567e1f5 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -284,7 +284,7 @@ make
   	  in a command line from the root \acrshort{fpakc} folder.
       Substitute \lstinline|path/to/input-file.json| with the path to the input file of the case you want to run.
       The examples in the run directory are presented in Chapter \ref{ch:exampleRuns}.
-      
+
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   \chapter{Input File}\label{ch:input_file}
     The input files for \Gls{fpakc} is divided between to files: a mesh file and a case file.
@@ -309,6 +309,10 @@ make
         \begin{itemize}
           \item \textbf{path}: Character.
                                Path for the output files. This path is also used to locate the mesh input file.
+          \item \textbf{folder}: Character.
+                                 Base name of the folder in wich output files are placed.
+                                 The date and time is appended to this name.
+                                 If none is provided, only the date and time is writted as the folder name.
           \item \textbf{triggerOutput}: Integer.
                                         Determines the number of iterations between writing output files for macroscopic quantities.
           \item \textbf{cpuTime}: Logical. 
diff --git a/runs/1D_Cathode/inputCart.json b/runs/1D_Cathode/inputCart.json
index 95c5e52..5d04eb2 100644
--- a/runs/1D_Cathode/inputCart.json
+++ b/runs/1D_Cathode/inputCart.json
@@ -5,7 +5,8 @@
     "triggerOutput": 100,
     "cpuTime": false,
     "numColl": false,
-    "EMField": true
+    "EMField": true,
+	"folder": "Cartesian"
   },
   "reference": {
     "density": 1.0e16,
diff --git a/runs/1D_Cathode/inputRad.json b/runs/1D_Cathode/inputRad.json
index 95b53a9..32518e5 100644
--- a/runs/1D_Cathode/inputRad.json
+++ b/runs/1D_Cathode/inputRad.json
@@ -5,7 +5,8 @@
     "triggerOutput": 100,
     "cpuTime": false,
     "numColl": false,
-    "EMField": true
+    "EMField": true,
+	"folder": "Radial"
   },
   "reference": {
     "density": 1.0e16,
diff --git a/runs/ALPHIE_Grid/inputDiffTau.json b/runs/ALPHIE_Grid/inputDiffTau.json
index 020c303..1ce7035 100644
--- a/runs/ALPHIE_Grid/inputDiffTau.json
+++ b/runs/ALPHIE_Grid/inputDiffTau.json
@@ -5,7 +5,8 @@
     "triggerCPUTime": 1,
     "cpuTime": true,
     "numColl": false,
-    "EMField": true
+    "EMField": true,
+	"folder": "Diff_tau"
   },
   "geometry": {
     "type":     "2DCyl",
diff --git a/runs/ALPHIE_Grid/inputSameTau.json b/runs/ALPHIE_Grid/inputSameTau.json
index e92d299..74e920a 100644
--- a/runs/ALPHIE_Grid/inputSameTau.json
+++ b/runs/ALPHIE_Grid/inputSameTau.json
@@ -5,7 +5,8 @@
     "triggerCPUTime": 1,
     "cpuTime": true,
     "numColl": false,
-    "EMField": true
+    "EMField": true,
+	"folder": "Same_tau"
   },
   "geometry": {
     "type":     "2DCyl",
diff --git a/runs/Argon_Expansion/CX_case.json b/runs/Argon_Expansion/CX_case.json
index 2b1f2f2..d2d89db 100644
--- a/runs/Argon_Expansion/CX_case.json
+++ b/runs/Argon_Expansion/CX_case.json
@@ -3,7 +3,8 @@
     "path": "./runs/Argon_Expansion/",
 	"triggerOutput": 10,
 	"cpuTime": false,
-	"numColl": true
+	"numColl": true,
+	"folder": "CX_case"
   },
   "geometry": {
     "type":     "2DCyl",
diff --git a/runs/Argon_Expansion/base_case.json b/runs/Argon_Expansion/base_case.json
index 78e16ed..8cc7238 100644
--- a/runs/Argon_Expansion/base_case.json
+++ b/runs/Argon_Expansion/base_case.json
@@ -3,7 +3,8 @@
     "path": "./runs/Argon_Expansion/",
 	"triggerOutput": 10,
 	"cpuTime": false,
-	"numColl": false
+	"numColl": false,
+	"folder": "base_case"
   },
   "geometry": {
     "type":     "2DCyl",
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 82694cd..2a6e334 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -347,6 +347,7 @@ MODULE moduleInput
       TYPE(json_file), INTENT(inout):: config
       LOGICAL:: found
       CHARACTER(:), ALLOCATABLE:: object
+      CHARACTER(:), ALLOCATABLE:: baseName
       CHARACTER(8)  :: date_now=''
       CHARACTER(10) :: time_now=''
 
@@ -359,11 +360,22 @@ MODULE moduleInput
 
       END IF
 
-      !Creates output folder
-      !TODO: Add option for custon name output_folder
+      !Gets actual date and time
       CALL DATE_AND_TIME(date_now, time_now)
-      folder = date_now(1:4) // '-' // date_now(5:6) // '-' // date_now(7:8) // '_' &
-            // time_now(1:2) // '.' // time_now(3:4) // '.' // time_now(5:6)
+
+      !Gets the basename of the folder
+      CALL config%get(object // '.folder', baseName, found)
+      PRINT *, baseName
+      IF (found) THEN
+        folder = baseName
+
+      END IF
+
+      !Compose the folder name
+      folder = folder // '_' // date_now(1:4) // '-' // date_now(5:6) // '-' // date_now(7:8) // '_' &
+                             // time_now(1:2) // '.' // time_now(3:4) // '.' // time_now(5:6)
+      
+      !Creates the folder
       CALL EXECUTE_COMMAND_LINE('mkdir ' // path // folder )
 
       CALL config%get(object // '.cpuTime', timeOutput, found)

From 2ae4a6c78521a52e07a16c8492f52526303c8c1b Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 21 Jan 2021 12:03:10 +0100
Subject: [PATCH 003/203] First implementation of 2D Cartesian space.

Files and types with 'Cyl' have been changed to '2DCyl' to better
differentiate between the two types of 2D geometry.

Solvers for charged and neutral particles in 2D Cartesian space.

Added solveds for 1D neutral particles (this branch is not the place to
    do it, but it was a minor change).

User Manual updated with the new accepted options.
---
 doc/user-manual/fpakc_UserManual.pdf          |  Bin 156032 -> 156928 bytes
 doc/user-manual/fpakc_UserManual.tex          |   35 +-
 src/makefile                                  |    3 +-
 src/modules/mesh/2DCart/makefile              |   11 +
 src/modules/mesh/2DCart/moduleMesh2DCart.f90  | 1057 +++++++++++++++++
 .../mesh/2DCart/moduleMesh2DCartBoundary.f90  |  154 +++
 .../mesh/2DCart/moduleMesh2DCartRead.f90      |  599 ++++++++++
 src/modules/mesh/2DCyl/makefile               |    8 +-
 ...{moduleMeshCyl.f90 => moduleMesh2DCyl.f90} |  158 ++-
 ...undary.f90 => moduleMesh2DCylBoundary.f90} |   14 +-
 ...eshCylRead.f90 => moduleMesh2DCylRead.f90} |   78 +-
 src/modules/mesh/makefile                     |    5 +-
 src/modules/moduleInput.f90                   |   10 +-
 src/modules/moduleSolver.f90                  |  140 ++-
 14 files changed, 2110 insertions(+), 162 deletions(-)
 create mode 100644 src/modules/mesh/2DCart/makefile
 create mode 100644 src/modules/mesh/2DCart/moduleMesh2DCart.f90
 create mode 100644 src/modules/mesh/2DCart/moduleMesh2DCartBoundary.f90
 create mode 100644 src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
 rename src/modules/mesh/2DCyl/{moduleMeshCyl.f90 => moduleMesh2DCyl.f90} (88%)
 rename src/modules/mesh/2DCyl/{moduleMeshCylBoundary.f90 => moduleMesh2DCylBoundary.f90} (94%)
 rename src/modules/mesh/2DCyl/{moduleMeshCylRead.f90 => moduleMesh2DCylRead.f90} (88%)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index e4bd94ea0d4a4ed455624eb1ad8fcfd762261cbe..fa6ad943db06007dd7b11f36e644f646c2c8c3e7 100644
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index 567e1f5..efb090e 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -128,15 +128,18 @@
         When a 2D cylindrical geometry is used ($z$, $r$), a Boris solver\cite{boris1970relativistic} is used to move particles accounting for the effect of the symmetry axis.
         This pusher removes the issue with particles going to infinite velocity when $r \rightarrow 0$ by pushing the particles in Cartesian space and then converting it to $r-z$ geometry.
         Velocity in the $\theta$ direction is updated for collision processes, although the dynamic in the angular direction is assumed as symmetric.
-      
-        Cross-sections are read from files.
-        These files contains two columns: one for the relative energy (in $\unit{eV}$) and another one for the cross-section (in $\unit{m^{-2}}$).
-
+        
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-      \subsection{1D Cartesian pusher}
+      \subsection{2D Cartesian pusher}
+        Moving particles in a simple 2D Cartesian space.
         
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
       \subsection{1D Radial pusher}
+        Same implementation as 2D cylindrical pusher but direction $z$ is ignored.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+      \subsection{1D Cartesian pusher}
+        Moving particles in a simple 1D Cartesian space. Same implementation as in 2D Cartesian but $y$ direction is ignored.
       
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Find new cell}      
@@ -338,12 +341,14 @@ make
                                Type of geometry.
                                Current accepted vaules are
                                \begin{itemize}
-                                 \item \textbf{2DCyl}: Two-dimensional grid (z-r) with symmetry axis at $r = 0$.
+                                 \item \textbf{2DCyl}: Two-dimensional grid ($z \hyphen r$) with symmetry axis at $r = 0$.
                                                        For \Gls{gmsh} mesh format, the coordinates $x$ and $y$ correspond to  $z$ and $r$ respectively.
-                                 \item \textbf{1DCart}: One-dimensional grid (x) in Cartesian coordinates
-                                                        For \Gls{gmsh} mesh format, the coordinates $x$ corresponds to $x$.
-                                 \item \textbf{1DRad}: One-dimensional grid (r) in radial coordinates
+                                 \item \textbf{2DCart}: Two-dimensional grid ($x \hyphen y$) in Cartesian coordinates..
+                                                        For \Gls{gmsh} mesh format, the coordinates $x$ and $y$ correspond to  $x$ and $y$ respectively.
+                                 \item \textbf{1DRad}: One-dimensional grid ($r$) in radial coordinates
                                                        For \Gls{gmsh} mesh format, the coordinates $x$ corresponds to $r$.
+                                 \item \textbf{1DCart}: One-dimensional grid ($x$) in Cartesian coordinates
+                                                        For \Gls{gmsh} mesh format, the coordinates $x$ corresponds to $x$.
                                \end{itemize}
           \item \textbf{meshType}: Character.
                                    Format of mesh file.
@@ -494,10 +499,14 @@ make
                                  Array dimension 'number of species'.
                                  Indicates the type of pusher used for each species:
                                  \begin{itemize}
-                                    \item \textbf{2DCylNeutral}: Pushes particles in a 2D z-r space without any external force.
-                                    \item \textbf{2DCylCharged}: Pushes particles in a 2D z-r space including the effect of the electrostatic field.
-                                    \item \textbf{1DCartCharged}: Pushes particles in a 1D Cartesian space accounting the the electrostatic field.
-                                    \item \textbf{1DRadCharged}: Pushes particles in a 1D cylindrical space (r) accounting the the electrostatic field.
+                                    \item \textbf{2DCylNeutral}: Pushes particles in a 2D cylindrical space ($z \hyphen r$) without any external force.
+                                    \item \textbf{2DCylCharged}: Pushes particles in a 2D cylindrical space ($z \hyphen r$) including the effect of the electrostatic field.
+                                    \item \textbf{2DCartNeutral}: Pushes particles in a 2D Cartesian space ($x \hyphen y$) without any external force.
+                                    \item \textbf{2DCartCharged}: Pushes particles in a 2D Cartesian space ($x \hyphen y$) including the effect of the electrostatic field.
+                                    \item \textbf{1DRadNeutral}: Pushes particles in a 1D cylindrical space ($r$) without any external force.
+                                    \item \textbf{1DRadCharged}: Pushes particles in a 1D cylindrical space ($r$) accounting the the electrostatic field.
+                                    \item \textbf{1DCartNeutral}: Pushes particles in a 1D Cartesian space ($x$) without any external force.
+                                    \item \textbf{1DCartCharged}: Pushes particles in a 1D Cartesian space ($x$) accounting the the electrostatic field.
                                  \end{itemize}
           \item \textbf{WeightingScheme}: Character.
                                           Indicates the variable weighting scheme to be used in the simulation.
diff --git a/src/makefile b/src/makefile
index 3e151a3..004955c 100644
--- a/src/makefile
+++ b/src/makefile
@@ -4,7 +4,8 @@ OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleCompTime.o $(OBJDIR)/moduleSolv
 			  	$(OBJDIR)/moduleBoundary.o $(OBJDIR)/moduleCaseParam.o $(OBJDIR)/moduleRefParam.o \
 			  	$(OBJDIR)/moduleCollisions.o $(OBJDIR)/moduleTable.o $(OBJDIR)/moduleParallel.o \
 			  	$(OBJDIR)/moduleEM.o $(OBJDIR)/moduleRandom.o \
-			  	$(OBJDIR)/moduleMeshCyl.o	$(OBJDIR)/moduleMeshCylRead.o	$(OBJDIR)/moduleMeshCylBoundary.o \
+			  	$(OBJDIR)/moduleMesh2DCyl.o  $(OBJDIR)/moduleMesh2DCylRead.o	$(OBJDIR)/moduleMesh2DCylBoundary.o \
+			  	$(OBJDIR)/moduleMesh2DCart.o $(OBJDIR)/moduleMesh2DCartRead.o	$(OBJDIR)/moduleMesh2DCartBoundary.o \
           $(OBJDIR)/moduleMesh1DCart.o $(OBJDIR)/moduleMesh1DCartRead.o $(OBJDIR)/moduleMesh1DCartBoundary.o \
           $(OBJDIR)/moduleMesh1DRad.o  $(OBJDIR)/moduleMesh1DRadRead.o  $(OBJDIR)/moduleMesh1DRadBoundary.o
 
diff --git a/src/modules/mesh/2DCart/makefile b/src/modules/mesh/2DCart/makefile
new file mode 100644
index 0000000..312916b
--- /dev/null
+++ b/src/modules/mesh/2DCart/makefile
@@ -0,0 +1,11 @@
+all : moduleMesh2DCart.o moduleMesh2DCartBoundary.o moduleMesh2DCartRead.o
+
+moduleMesh2DCart.o: moduleMesh2DCart.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
+moduleMesh2DCartBoundary.o: moduleMesh2DCart.o moduleMesh2DCartBoundary.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
+moduleMesh2DCartRead.o: moduleMesh2DCart.o moduleMesh2DCartBoundary.o moduleMesh2DCartRead.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
new file mode 100644
index 0000000..8718804
--- /dev/null
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -0,0 +1,1057 @@
+!moduleMesh2DCart: 2D Cartesian coordinate system
+!               x == x
+!               y == y
+!               z == unused
+MODULE moduleMesh2DCart
+  USE moduleMesh
+  IMPLICIT NONE
+
+  !Values for Gauss integral
+  REAL(8), PARAMETER:: corQuad(1:3) = (/ -DSQRT(3.D0/5.D0), 0.D0,      DSQRT(3.D0/5.D0) /)
+  REAL(8), PARAMETER:: wQuad(1:3)   = (/        5.D0/9.D0,  8.D0/9.D0,       5.D0/9.D0  /)
+
+  REAL(8), PARAMETER:: xi1Tria(1:4) = (/   1.D0/3.D0,   1.D0/5.D0,   3.D0/5.D0,   1.D0/5.D0  /)
+  REAL(8), PARAMETER:: xi2Tria(1:4) = (/   1.D0/3.D0,   1.D0/5.D0,   1.D0/5.D0,   3.D0/5.D0  /)
+  REAL(8), PARAMETER:: wTria(1:4)   = (/ -27.D0/96.D0, 25.D0/96.D0, 25.D0/96.D0, 25.D0/96.D0 /)
+
+  TYPE, PUBLIC, EXTENDS(meshNode):: meshNode2DCart
+    !Element coordinates
+    REAL(8):: x = 0.D0, y = 0.D0
+    CONTAINS
+      PROCEDURE, PASS:: init => initNode2DCart
+      PROCEDURE, PASS:: getCoordinates => getCoord2DCart
+
+  END TYPE meshNode2DCart
+
+  TYPE, PUBLIC, EXTENDS(meshEdge):: meshEdge2DCart
+    !Element coordinates
+    REAL(8):: x(1:2) = 0.D0, y(1:2) = 0.D0
+    !Connectivity to nodes
+    CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL()
+    CONTAINS
+      PROCEDURE, PASS:: init     => initEdge2DCart
+      PROCEDURE, PASS:: getNodes => getNodes2DCart
+      PROCEDURE, PASS:: randPos  => randPosEdge
+
+  END TYPE meshEdge2DCart
+
+  !Boundary functions defined in the submodule Boundary
+  INTERFACE
+    MODULE SUBROUTINE reflection(edge, part)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+
+    END SUBROUTINE reflection
+
+    MODULE SUBROUTINE absorption(edge, part)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+
+    END SUBROUTINE absorption
+
+    MODULE SUBROUTINE wallTemperature(edge, part)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+
+    END SUBROUTINE wallTemperature
+
+    MODULE SUBROUTINE transparent(edge, part)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+
+    END SUBROUTINE transparent
+
+  END INTERFACE
+
+  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol2DCart
+    CONTAINS
+      PROCEDURE, PASS:: detJac    => detJ2DCart
+      PROCEDURE, PASS:: invJac    => invJ2DCart
+      PROCEDURE(fPsi_interface), DEFERRED, NOPASS:: fPsi
+      PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
+      PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
+
+  END TYPE meshVol2DCart
+
+  ABSTRACT INTERFACE
+    PURE FUNCTION fPsi_interface(xi) RESULT(fPsi)
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), ALLOCATABLE:: fPsi(:)
+
+    END FUNCTION fPsi_interface
+
+    PURE FUNCTION dPsi_interface(xi) RESULT(dPsi)
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), ALLOCATABLE:: dPsi(:,:)
+
+    END FUNCTION dPsi_interface
+
+    PURE SUBROUTINE partialDer_interface(self, dPsi, dx, dy)
+      IMPORT meshVol2DCart
+      CLASS(meshVol2DCart), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:,1:)
+      REAL(8), INTENT(out), DIMENSION(1:2):: dx, dy
+
+    END SUBROUTINE partialDer_interface
+
+  END INTERFACE
+
+  !Quadrilateral volume element
+  TYPE, PUBLIC, EXTENDS(meshVol2DCart):: meshVol2DCartQuad
+    !Element coordinates
+    REAL(8):: x(1:4) = 0.D0, y(1:4) = 0.D0
+    !Connectivity to nodes
+    CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL(), n4 => NULL()
+    !Connectivity to adjacent elements
+    CLASS(*), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
+    REAL(8):: arNodes(1:4) = 0.D0
+
+    CONTAINS
+      PROCEDURE, PASS::   init        => initVolQuad2DCart
+      PROCEDURE, PASS::   randPos     => randPosVolQuad
+      PROCEDURE, PASS::   area        => areaQuad
+      PROCEDURE, NOPASS:: fPsi        => fPsiQuad
+      PROCEDURE, NOPASS:: dPsi        => dPsiQuad
+      PROCEDURE, NOPASS:: dPsiXi1     => dPsiQuadXi1
+      PROCEDURE, NOPASS:: dPsiXi2     => dPsiQuadXi2
+      PROCEDURE, PASS::   partialDer  => partialDerQuad
+      PROCEDURE, PASS::   elemK       => elemKQuad
+      PROCEDURE, PASS::   elemF       => elemFQuad
+      PROCEDURE, NOPASS:: weight      => weightQuad
+      PROCEDURE, NOPASS:: inside      => insideQuad
+      PROCEDURE, PASS::   scatter     => scatterQuad
+      PROCEDURE, PASS::   gatherEF    => gatherEFQuad
+      PROCEDURE, PASS::   getNodes    => getNodesQuad
+      PROCEDURE, PASS::   phy2log     => phy2logQuad
+      PROCEDURE, PASS::   nextElement => nextElementQuad
+
+  END TYPE meshVol2DCartQuad
+
+  !Triangular volume element
+  TYPE, PUBLIC, EXTENDS(meshVol2DCart):: meshVol2DCartTria
+    !Element coordinates
+    REAL(8):: x(1:3) = 0.D0, y(1:3) = 0.D0
+    !Connectivity to nodes
+    CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL()
+    !Connectivity to adjacent elements
+    CLASS(*), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL()
+    REAL(8):: arNodes(1:3) = 0.D0
+
+    CONTAINS
+      PROCEDURE, PASS::   init        => initVolTria2DCart
+      PROCEDURE, PASS::   randPos     => randPosVolTria
+      PROCEDURE, PASS::   area        => areaTria
+      PROCEDURE, NOPASS:: fPsi        => fPsiTria
+      PROCEDURE, NOPASS:: dPsi        => dPsiTria
+      PROCEDURE, NOPASS:: dPsiXi1     => dPsiTriaXi1
+      PROCEDURE, NOPASS:: dPsiXi2     => dPsiTriaXi2
+      PROCEDURE, PASS::   partialDer  => partialDerTria
+      PROCEDURE, PASS::   elemK       => elemKTria
+      PROCEDURE, PASS::   elemF       => elemFTria
+      PROCEDURE, NOPASS:: weight      => weightTria
+      PROCEDURE, NOPASS:: inside      => insideTria
+      PROCEDURE, PASS::   scatter     => scatterTria
+      PROCEDURE, PASS::   gatherEF    => gatherEFTria
+      PROCEDURE, PASS::   getNodes    => getNodesTria
+      PROCEDURE, PASS::   phy2log     => phy2logTria
+      PROCEDURE, PASS::   nextElement => nextElementTria
+
+  END TYPE meshVol2DCartTria
+
+  CONTAINS
+    !NODE FUNCTIONS
+    !Inits node element
+    SUBROUTINE initNode2DCart(self, n, r)
+      USE moduleSpecies
+      USE moduleRefParam
+      IMPLICIT NONE
+
+      CLASS(meshNode2DCart), INTENT(out):: self
+      INTEGER, INTENT(in):: n
+      REAL(8), INTENT(in):: r(1:3)
+
+      self%n = n
+      self%x = r(1)/L_ref
+      self%y = r(2)/L_ref
+      !Node volume, to be determined in mesh
+      self%v = 0.D0
+
+      !Allocates output:
+      ALLOCATE(self%output(1:nSpecies))
+
+    END SUBROUTINE initNode2DCart
+
+    !Get coordinates from node
+    PURE FUNCTION getCoord2DCart(self) RESULT(r)
+      IMPLICIT NONE
+
+      CLASS(meshNode2DCart), INTENT(in):: self
+      REAL(8):: r(1:3)
+
+      r = (/self%x, self%y, 0.D0/)
+
+    END FUNCTION getCoord2DCart
+
+    !EDGE FUNCTIONS
+    !Inits edge element
+    SUBROUTINE initEdge2DCart(self, n, p, bt, physicalSurface)
+      USE moduleSpecies
+      USE moduleBoundary
+      USE moduleErrors
+      IMPLICIT NONE
+
+      CLASS(meshEdge2DCart), INTENT(out):: self
+      INTEGER, INTENT(in):: n
+      INTEGER, INTENT(in):: p(:)
+      INTEGER, INTENT(in):: bt
+      INTEGER, INTENT(in):: physicalSurface
+      REAL(8), DIMENSION(1:3):: r1, r2
+      INTEGER:: s
+
+      self%n  = n
+      self%n1 => mesh%nodes(p(1))%obj
+      self%n2 => mesh%nodes(p(2))%obj
+      !Get element coordinates
+      r1 = self%n1%getCoordinates()
+      r2 = self%n2%getCoordinates()
+      self%x  = (/r1(1), r2(1)/)
+      self%y  = (/r1(2), r2(2)/)
+      !Normal vector
+      self%normal = (/ self%y(2)-self%y(1), &
+                       self%x(2)-self%x(1), &
+                       0.D0 /)
+      !Boundary index
+      self%boundary => boundary(bt)
+      ALLOCATE(self%fboundary(1:nSpecies))
+      !Assign functions to boundary
+      DO s = 1, nSpecies
+        SELECT TYPE(obj => self%boundary%bTypes(s)%obj)
+        TYPE IS(boundaryAbsorption)
+          self%fBoundary(s)%apply => absorption
+
+        TYPE IS(boundaryReflection)
+          self%fBoundary(s)%apply => reflection
+
+        TYPE IS(boundaryTransparent)
+          self%fBoundary(s)%apply => transparent
+
+        TYPE IS(boundaryWallTemperature)
+          self%fBoundary(s)%apply => wallTemperature
+
+        CLASS DEFAULT
+          CALL criticalError("Boundary type not defined in this geometry", 'initEdge2DCart')
+
+        END SELECT
+
+      END DO
+
+      !Physical surface
+      self%physicalSurface = physicalSurface
+
+    END SUBROUTINE initEdge2DCart
+
+    !Random position in quadrilateral volume
+    FUNCTION randPosVolQuad(self) RESULT(r)
+      USE moduleRandom
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(in):: self
+      REAL(8):: r(1:3)
+      REAL(8):: xii(1:3)
+      REAL(8), ALLOCATABLE:: fPsi(:)
+
+      xii(1) = random(-1.D0, 1.D0)
+      xii(2) = random(-1.D0, 1.D0)
+      xii(3) = 0.D0
+
+      fPsi = self%fPsi(xii)
+
+      r(1) = DOT_PRODUCT(fPsi, self%x)
+      r(2) = DOT_PRODUCT(fPsi, self%y)
+      r(3) = 0.D0
+
+    END FUNCTION randposVolQuad
+
+    !Get nodes from edge
+    PURE FUNCTION getNodes2DCart(self) RESULT(n)
+      IMPLICIT NONE
+
+      CLASS(meshEdge2DCart), INTENT(in):: self
+      INTEGER, ALLOCATABLE:: n(:)
+
+      ALLOCATE(n(1:2))
+      n = (/self%n1%n, self%n2%n /)
+
+    END FUNCTION getNodes2DCart
+
+    !Calculates a random position in edge
+    FUNCTION randPosEdge(self) RESULT(r)
+      USE moduleRandom
+      IMPLICIT NONE
+
+      CLASS(meshEdge2DCart), INTENT(in):: self
+      REAL(8):: rnd
+      REAL(8):: r(1:3)
+      REAL(8):: p1(1:2), p2(1:2)
+
+      rnd = random()
+
+      p1 = (/self%x(1), self%y(1) /)
+      p2 = (/self%x(2), self%y(2) /)
+      r(1:2) = (1.D0 - rnd)*p1 + rnd*p2
+      r(3)   =  0.D0
+
+    END FUNCTION randPosEdge
+
+    !VOLUME FUNCTIONS
+    !QUAD FUNCTIONS
+    !Inits quadrilateral element
+    SUBROUTINE initVolQuad2DCart(self, n, p)
+      USE moduleRefParam
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(out):: self
+      INTEGER, INTENT(in):: n
+      INTEGER, INTENT(in):: p(:)
+      REAL(8), DIMENSION(1:3):: r1, r2, r3, r4
+
+      self%n  = n
+      self%n1 => mesh%nodes(p(1))%obj
+      self%n2 => mesh%nodes(p(2))%obj
+      self%n3 => mesh%nodes(p(3))%obj
+      self%n4 => mesh%nodes(p(4))%obj
+      !Get element coordinates
+      r1 = self%n1%getCoordinates()
+      r2 = self%n2%getCoordinates()
+      r3 = self%n3%getCoordinates()
+      r4 = self%n4%getCoordinates()
+      self%x  = (/r1(1), r2(1), r3(1), r4(1)/)
+      self%y  = (/r1(2), r2(2), r3(2), r4(2)/)
+
+      !Assign node volume
+      CALL self%area()
+      self%n1%v = self%n1%v + self%arNodes(1)
+      self%n2%v = self%n2%v + self%arNodes(2)
+      self%n3%v = self%n3%v + self%arNodes(3)
+      self%n4%v = self%n4%v + self%arNodes(4)
+
+      self%sigmaVrelMax = sigma_ref/L_ref**2
+
+      CALL OMP_INIT_LOCK(self%lock)
+
+    END SUBROUTINE initVolQuad2DCart
+
+    !Computes element area
+    PURE SUBROUTINE areaQuad(self)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(inout):: self
+      REAL(8):: xi(1:3)
+      REAL(8):: detJ
+      REAL(8):: fPsi(1:4)
+
+      self%volume  = 0.D0
+      self%arNodes = 0.D0
+      !2D 1 point Gauss Quad Integral
+      xi = 0.D0
+      detJ = self%detJac(xi)*4.D0 !4*2*pi
+      fPsi = self%fPsi(xi)
+      self%volume  =      detJ
+      self%arNodes = fPsi*detJ
+
+    END SUBROUTINE areaQuad
+
+    !Computes element functions in point xi
+    PURE FUNCTION fPsiQuad(xi) RESULT(fPsi) 
+      IMPLICIT NONE
+
+      REAL(8),INTENT(in):: xi(1:3)
+      REAL(8), ALLOCATABLE:: fPsi(:)
+
+      ALLOCATE(fPsi(1:4))
+
+      fPsi(1) = (1.D0-xi(1))*(1.D0-xi(2))
+      fPsi(2) = (1.D0+xi(1))*(1.D0-xi(2))
+      fPsi(3) = (1.D0+xi(1))*(1.D0+xi(2))
+      fPsi(4) = (1.D0-xi(1))*(1.D0+xi(2))
+      fPsi    = fPsi*0.25D0
+
+    END FUNCTION fPsiQuad
+
+    !Derivative element function at coordinates xi
+    PURE FUNCTION dPsiQuad(xi) RESULT(dPsi)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), ALLOCATABLE:: dPsi(:,:)
+
+      ALLOCATE(dPsi(1:2,1:4))
+
+      dPsi(1,:) = dPsiQuadXi1(xi(2))
+      dPsi(2,:) = dPsiQuadXi2(xi(1))
+
+    END FUNCTION dPsiQuad
+
+    !Derivative element function (xi1)
+    PURE FUNCTION dPsiQuadXi1(xi2) RESULT(dPsiXi1) 
+      IMPLICIT NONE
+
+      REAL(8),INTENT(in):: xi2
+      REAL(8):: dPsiXi1(1:4)
+
+      dPsiXi1(1) = -(1.D0-xi2)
+      dPsiXi1(2) =  (1.D0-xi2)
+      dPsiXi1(3) =  (1.D0+xi2)
+      dPsiXi1(4) = -(1.D0+xi2)
+      dPsiXi1    = dPsiXi1*0.25D0
+      
+    END FUNCTION dPsiQuadXi1
+
+    !Derivative element function (xi2)
+    PURE FUNCTION dPsiQuadXi2(xi1) RESULT(dPsiXi2) 
+      IMPLICIT NONE
+
+      REAL(8),INTENT(in):: xi1
+      REAL(8):: dPsiXi2(1:4)
+
+      dPsiXi2(1) = -(1.D0-xi1)
+      dPsiXi2(2) = -(1.D0+xi1)
+      dPsiXi2(3) =  (1.D0+xi1)
+      dPsiXi2(4) =  (1.D0-xi1)
+      dPsiXi2    = dPsiXi2*0.25D0
+
+    END FUNCTION dPsiQuadXi2
+
+    PURE SUBROUTINE partialDerQuad(self, dPsi, dx, dy)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:,1:)
+      REAL(8), INTENT(out), DIMENSION(1:2):: dx, dy
+
+      dx(1) = DOT_PRODUCT(dPsi(1,:),self%x)
+      dx(2) = DOT_PRODUCT(dPsi(2,:),self%x)
+      dy(1) = DOT_PRODUCT(dPsi(1,:),self%y)
+      dy(2) = DOT_PRODUCT(dPsi(2,:),self%y)
+
+    END SUBROUTINE partialDerQuad
+
+    !Computes element local stiffness matrix
+    PURE FUNCTION elemKQuad(self) RESULT(ke)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(in):: self
+      REAL(8):: xi(1:3)
+      REAL(8):: fPsi(1:4), dPsi(1:2,1:4)
+      REAL(8):: ke(1:4,1:4)
+      REAL(8):: invJ(1:2,1:2), detJ
+      INTEGER:: l, m
+
+      ke=0.D0
+      xi=0.D0
+      !Start 2D Gauss Quad Integral
+      DO l=1, 3
+        xi(2) = corQuad(l)
+        dPsi(1,:) = self%dPsiXi1(xi(2))
+        DO m = 1, 3
+          xi(1)     = corQuad(m)
+          dPsi(2,:) = self%dPsiXi2(xi(1))
+          fPsi      = self%fPsi(xi)
+          detJ      = self%detJac(xi,dPsi)
+          invJ      = self%invJac(xi,dPsi)
+          ke        = ke + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wQuad(l)*wQuad(m)/detJ
+
+        END DO
+      END DO
+
+    END FUNCTION elemKQuad
+
+    !Computes the local source vector for a force f
+    PURE FUNCTION elemFQuad(self, source) RESULT(localF)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: source(1:)
+      REAL(8), ALLOCATABLE:: localF(:)
+      REAL(8):: xi(1:3)
+      REAL(8):: fPsi(1:4)
+      REAL(8):: detJ, f
+      INTEGER:: l, m
+
+      ALLOCATE(localF(1:4))
+      localF = 0.D0
+      xi     = 0.D0
+      DO l=1, 3
+        xi(1) = corQuad(l)
+        DO m = 1, 3
+          xi(2)  = corQuad(m)
+          detJ   = self%detJac(xi)
+          fPsi   = self%fPsi(xi)
+          f      = DOT_PRODUCT(fPsi,source)
+          localF = localF + f*fPsi*wQuad(l)*wQuad(m)*detJ
+
+         END DO
+      END DO
+
+    END FUNCTION elemFQuad
+
+    !Computes weights in the element nodes
+    PURE FUNCTION weightQuad(xi) RESULT(w)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: w(1:4)
+
+      w = fPsiQuad(xi)
+
+    END FUNCTION weightQuad
+
+    !Checks if a particle is inside a quad element
+    PURE FUNCTION insideQuad(xi) RESULT(ins)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: xi(1:3)
+      LOGICAL:: ins
+
+      ins = (xi(1) >= -1.D0 .AND. xi(1) <= 1.D0) .AND. &
+            (xi(2) >= -1.D0 .AND. xi(2) <= 1.D0)
+
+    END FUNCTION insideQuad
+
+    !Scatter properties of particle into element nodes
+    SUBROUTINE scatterQuad(self, part)
+      USE moduleOutput
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(in):: self
+      CLASS(particle), INTENT(in):: part
+      TYPE(outputNode), POINTER:: vertex
+      REAL(8):: w_p(1:4)
+      REAL(8):: tensorS(1:3,1:3)
+
+      w_p = self%weight(part%xi)
+      tensorS = outerProduct(part%v, part%v)
+
+      vertex => self%n1%output(part%sp)
+      vertex%den          = vertex%den          + part%weight*w_p(1)
+      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
+      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
+
+      vertex => self%n2%output(part%sp)
+      vertex%den          = vertex%den          + part%weight*w_p(2)
+      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
+      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
+
+      vertex => self%n3%output(part%sp)
+      vertex%den          = vertex%den          + part%weight*w_p(3)
+      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(3)*part%v(:)
+      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(3)*tensorS
+
+      vertex => self%n4%output(part%sp)
+      vertex%den          = vertex%den          + part%weight*w_p(4)
+      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(4)*part%v(:)
+      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(4)*tensorS
+
+    END SUBROUTINE scatterQuad
+
+    !Gathers the electric field at position xi
+    PURE FUNCTION gatherEFQuad(self,xi) RESULT(EF)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: dPsi(1:2,1:4)
+      REAL(8):: dPsiR(1:2,1:4)!Derivative of shpae functions in global coordinates
+      REAL(8):: invJ(1:2,1:2), detJ
+      REAL(8):: phi(1:4)
+      REAL(8):: EF(1:3)
+
+      phi = (/self%n1%emData%phi, &
+              self%n2%emData%phi, &
+              self%n3%emData%phi, &
+              self%n4%emData%phi /)
+
+      dPsi  =  self%dPsi(xi)
+      detJ  =  self%detJac(xi,dPsi)
+      invJ  =  self%invJac(xi,dPsi)
+      dPsiR =  MATMUL(invJ, dPsi)/detJ
+      EF(1) = -DOT_PRODUCT(dPsiR(1,:), phi)
+      EF(2) = -DOT_PRODUCT(dPsiR(2,:), phi)
+      EF(3) =  0.D0
+
+    END FUNCTION gatherEFQuad
+
+    !Gets nodes from quadrilateral element
+    PURE FUNCTION getNodesQuad(self) RESULT(n)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(in):: self
+      INTEGER, ALLOCATABLE:: n(:)
+
+      ALLOCATE(n(1:4))
+      n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
+
+    END FUNCTION getNodesQuad
+
+    !Transforms physical coordinates to element coordinates
+    PURE FUNCTION phy2logQuad(self,r) RESULT(xN) 
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: r(1:3)
+      REAL(8):: xN(1:3)
+      REAL(8):: xO(1:3), detJ, invJ(1:2,1:2), f(1:2)
+      REAL(8):: dPsi(1:2,1:4), fPsi(1:4)
+      REAL(8):: conv
+
+      !Iterative newton method to transform coordinates
+      conv=1.D0
+      xO=0.D0
+
+      DO WHILE(conv>1.D-4)
+        dPsi = self%dPsi(xO)
+        invJ = self%invJac(xO, dPsi)
+        fPsi = self%fPsi(xO)
+        f(1) = DOT_PRODUCT(fPsi,self%x)-r(1)
+        f(2) = DOT_PRODUCT(fPsi,self%y)-r(2)
+        detJ = self%detJac(xO,dPsi)
+        xN(1:2)=xO(1:2) - MATMUL(invJ, f)/detJ
+        conv=MAXVAL(DABS(xN-xO),1)
+        xO=xN
+
+      END DO
+
+    END FUNCTION phy2logQuad
+
+    !Gets the next element for a logical position xi
+    SUBROUTINE nextElementQuad(self, xi, nextElement)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      CLASS(*), POINTER, INTENT(out):: nextElement
+      REAL(8):: xiArray(1:4)
+      INTEGER:: nextInt
+
+      xiArray = (/ -xi(2), xi(1), xi(2), -xi(1) /)
+      nextInt = MAXLOC(xiArray,1)
+      !Selects the higher value of directions and searches in that direction
+      NULLIFY(nextElement)
+      SELECT CASE (nextInt)
+      CASE (1)
+        nextElement => self%e1
+      CASE (2)
+        nextElement => self%e2
+      CASE (3)
+        nextElement => self%e3
+      CASE (4)
+        nextElement => self%e4
+      END SELECT
+
+    END SUBROUTINE nextElementQuad
+
+    !TRIA ELEMENT
+    !Init tria element
+    SUBROUTINE initVolTria2DCart(self, n, p)
+      USE moduleRefParam
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(out):: self
+      INTEGER, INTENT(in):: n
+      INTEGER, INTENT(in):: p(:)
+      REAL(8), DIMENSION(1:3):: r1, r2, r3
+      REAL(8):: A
+
+      !Assign node index
+      self%n = n
+
+      !Assign nodes to element
+      self%n1 => mesh%nodes(p(1))%obj
+      self%n2 => mesh%nodes(p(2))%obj
+      self%n3 => mesh%nodes(p(3))%obj
+      !Get element coordinates
+      r1 = self%n1%getCoordinates()
+      r2 = self%n2%getCoordinates()
+      r3 = self%n3%getCoordinates()
+      self%x  = (/r1(1), r2(1), r3(1)/)
+      self%y  = (/r1(2), r2(2), r3(2)/)
+      !Assign node volume
+      CALL self%area()
+      self%n1%v = self%n1%v + self%arNodes(1)
+      self%n2%v = self%n2%v + self%arNodes(2)
+      self%n3%v = self%n3%v + self%arNodes(3)
+
+      self%sigmaVrelMax = sigma_ref/L_ref**2
+
+      CALL OMP_INIT_LOCK(self%lock)
+
+    END SUBROUTINE initVolTria2DCart
+
+    !Random position in quadrilateral volume
+    FUNCTION randPosVolTria(self) RESULT(r)
+      USE moduleRandom
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(in):: self
+      REAL(8):: r(1:3)
+      REAL(8):: xii(1:3)
+      REAL(8), ALLOCATABLE:: fPsi(:)
+
+      xii(1) = random( 0.D0, 1.D0)
+      xii(2) = random( 0.D0, 1.D0)
+      xii(3) = 0.D0
+
+      fPsi = self%fPsi(xii)
+
+      r(1) = DOT_PRODUCT(fPsi, self%x)
+      r(2) = DOT_PRODUCT(fPsi, self%y)
+      r(3) = 0.D0
+
+    END FUNCTION randposVolTria
+
+    !Calculates area for triangular element
+    PURE SUBROUTINE areaTria(self)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(inout):: self
+      REAL(8):: xi(1:3)
+      REAL(8):: detJ
+      REAL(8):: fPsi(1:3)
+
+      self%volume  = 0.D0
+      self%arNodes = 0.D0
+      !2D 1 point Gauss Quad Integral
+      xi = (/1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
+      detJ  = self%detJac(xi)/2.D0 
+      fPsi  = self%fPsi(xi)
+      self%volume  =      detJ
+      self%arNodes = fPsi*detJ
+
+    END SUBROUTINE areaTria
+
+    !Shape functions for triangular element
+    PURE FUNCTION fPsiTria(xi) RESULT(fPsi)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), ALLOCATABLE:: fPsi(:)
+
+      ALLOCATE(fPsi(1:3))
+
+      fPsi(1) = 1.D0 - xi(1) - xi(2)
+      fPsi(2) =        xi(1)
+      fPsi(3) =                xi(2)
+
+    END FUNCTION fPsiTria
+
+    !Derivative element function at coordinates xi
+    PURE FUNCTION dPsiTria(xi) RESULT(dPsi)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), ALLOCATABLE:: dPsi(:,:)
+
+      ALLOCATE(dPsi(1:2,1:3))
+
+      dPsi(1,:) = dPsiTriaXi1(xi(2))
+      dPsi(2,:) = dPsiTriaXi2(xi(1))
+
+    END FUNCTION dPsiTria
+
+    !Derivative element function (xi1)
+    PURE FUNCTION dPsiTriaXi1(xi2) RESULT(dPsiXi1)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: xi2
+      REAL(8):: dPsiXi1(1:3)
+
+      dPsiXi1(1) = -1.D0
+      dPsiXi1(2) =  1.D0
+      dPsiXi1(3) =  0.D0
+
+    END FUNCTION dPsiTriaXi1
+
+    !Derivative element function (xi1)
+    PURE FUNCTION dPsiTriaXi2(xi1) RESULT(dPsiXi2)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: xi1
+      REAL(8):: dPsiXi2(1:3)
+
+      dPsiXi2(1) = -1.D0
+      dPsiXi2(2) =  0.D0
+      dPsiXi2(3) =  1.D0
+
+    END FUNCTION dPsiTriaXi2
+
+    PURE SUBROUTINE partialDerTria(self, dPsi, dx, dy)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:,1:)
+      REAL(8), INTENT(out), DIMENSION(1:2):: dx, dy
+
+      dx(1) = DOT_PRODUCT(dPsi(1,:),self%x)
+      dx(2) = DOT_PRODUCT(dPsi(2,:),self%x)
+      dy(1) = DOT_PRODUCT(dPsi(1,:),self%y)
+      dy(2) = DOT_PRODUCT(dPsi(2,:),self%y)
+
+    END SUBROUTINE partialDerTria
+
+    !Computes element local stiffness matrix
+    PURE FUNCTION elemKTria(self) RESULT(ke)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(in):: self
+      REAL(8):: xi(1:3)
+      REAL(8):: fPsi(1:3), dPsi(1:2,1:3)
+      REAL(8):: ke(1:3,1:3)
+      REAL(8):: invJ(1:2,1:2), detJ
+      INTEGER:: l
+
+      ke=0.D0
+      xi=0.D0
+      !Start 2D Gauss Quad Integral
+      DO l=1, 4
+        xi(1) = xi1Tria(l)
+        xi(2) = xi2Tria(l)
+        dPsi  = self%dPsi(xi)
+        detJ  = self%detJac(xi,dPsi)
+        invJ  = self%invJac(xi,dPsi)
+        fPsi  = self%fPsi(xi)
+        ke    = ke + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wTria(l)/detJ
+
+      END DO
+
+    END FUNCTION elemKTria
+
+    !Computes element local source vector
+    PURE FUNCTION elemFTria(self, source) RESULT(localF)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(in):: self
+      REAL(8), INTENT(in):: source(1:)
+      REAL(8), ALLOCATABLE:: localF(:)
+      REAL(8):: fPsi(1:3)
+      REAL(8):: xi(1:3)
+      REAL(8):: detJ, f
+      INTEGER:: l
+
+      ALLOCATE(localF(1:3))
+      localF = 0.D0
+      xi     = 0.D0
+      !Start 2D Gauss Quad Integral
+      DO l=1, 4
+        xi(1)  = xi1Tria(l)
+        xi(2)  = xi2Tria(l)
+        detJ   = self%detJac(xi)
+        fPsi   = self%fPsi(xi)
+        f      = DOT_PRODUCT(fPsi,source)
+        localF = localF + f*fPsi*wTria(l)*detJ
+
+      END DO
+
+    END FUNCTION elemFTria
+
+    !Computes weights in the element nodes
+    PURE FUNCTION weightTria(xi) RESULT(w)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), ALLOCATABLE:: w(:)
+
+      w = fPsiTria(xi)
+
+    END FUNCTION weightTria
+
+    PURE FUNCTION insideTria(xi) RESULT(ins)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: xi(1:3)
+      LOGICAL:: ins
+
+      ins =        xi(1)         >= 0.D0 .AND. &
+                           xi(2) >= 0.D0 .AND. &
+            1.D0 - xi(1) - xi(2) >= 0.D0
+
+    END FUNCTION insideTria
+
+    !Scatter properties of particles into element
+    SUBROUTINE scatterTria(self, part)
+      USE moduleOutput
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(in):: self
+      CLASS(particle), INTENT(in):: part
+      TYPE(outputNode), POINTER:: vertex
+      REAL(8):: w_p(1:3)
+      REAL(8):: tensorS(1:3,1:3)
+
+      w_p = self%weight(part%xi)
+      tensorS = outerProduct(part%v, part%v)
+
+      vertex => self%n1%output(part%sp)
+      vertex%den          = vertex%den          + part%weight*w_p(1)
+      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
+      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
+
+      vertex => self%n2%output(part%sp)
+      vertex%den          = vertex%den          + part%weight*w_p(2)
+      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
+      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
+
+      vertex => self%n3%output(part%sp)
+      vertex%den          = vertex%den          + part%weight*w_p(3)
+      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(3)*part%v(:)
+      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(3)*tensorS
+
+    END SUBROUTINE scatterTria
+
+    !Gathers the electric field at position xi
+    PURE FUNCTION gatherEFTria(self,xi) RESULT(EF)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: dPsi(1:2,1:3)
+      REAL(8):: dPsiR(1:2,1:3)!Derivative of shpae functions in global coordinates
+      REAL(8):: invJ(1:2,1:2), detJ
+      REAL(8):: phi(1:3)
+      REAL(8):: dummy
+      REAL(8):: EF(1:3)
+
+      phi = (/self%n1%emData%phi, &
+              self%n2%emData%phi, &
+              self%n3%emData%phi /)
+
+      dPsi  =  self%dPsi(xi)
+      detJ  =  self%detJac(xi,dPsi)
+      invJ  =  self%invJac(xi,dPsi)
+      dPsiR =  MATMUL(invJ, dPsi)/detJ
+      EF(1) = -DOT_PRODUCT(dPsiR(1,:), phi)
+      EF(2) = -DOT_PRODUCT(dPsiR(2,:), phi)
+      EF(3) =  0.D0
+
+    END FUNCTION gatherEFTria
+
+    !Gets node indexes from triangular element
+    PURE FUNCTION getNodesTria(self) RESULT(n)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(in):: self
+      INTEGER, ALLOCATABLE:: n(:)
+
+      ALLOCATE(n(1:3))
+      n = (/self%n1%n, self%n2%n, self%n3%n /)
+
+    END FUNCTION getNodesTria
+
+    !Transforms physical coordinates to element coordinates
+    PURE FUNCTION phy2logTria(self,r) RESULT(xi)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(in):: self
+      REAL(8), INTENT(in):: r(1:3)
+      REAL(8):: xi(1:3)
+      REAL(8):: invJ(1:2,1:2), detJ
+      REAL(8):: deltaR(1:2)
+      REAL(8):: dPsi(1:2,1:3)
+
+      !Direct method to convert coordinates
+      xi      = 0.D0 !Irrelevant, required for input
+      deltaR  = (/ r(1) - self%x(1), r(2) - self%y(1) /)
+      dPsi    = self%dPsi(xi)
+      invJ    = self%invJac(xi, dPsi)
+      detJ    = self%detJac(xi, dPsi)
+      xi(1:2) = MATMUL(invJ,deltaR)/detJ
+
+    END FUNCTION phy2logTria
+
+    SUBROUTINE nextElementTria(self, xi, nextElement)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      CLASS(*), POINTER, INTENT(out):: nextElement
+      REAL(8):: xiArray(1:3)
+      INTEGER:: nextInt
+
+      xiArray = (/ xi(2), 1.D0-xi(1)-xi(2), xi(1) /)
+      nextInt = MINLOC(xiArray,1)
+      NULLIFY(nextElement)
+      SELECT CASE (nextInt)
+      CASE (1)
+        nextElement => self%e1
+      CASE (2)
+        nextElement => self%e2
+      CASE (3)
+        nextElement => self%e3
+      END SELECT
+
+    END SUBROUTINE nextElementTria
+
+    !COMMON FUNCTIONS FOR CARTESIAN VOLUME ELEMENTS IN 2D
+    !Computes element Jacobian determinant
+    PURE FUNCTION detJ2DCart(self, xi, dPsi_in) RESULT(dJ)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCart), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
+      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8):: dJ
+      REAL(8):: dx(1:2), dy(1:2)
+
+      IF(PRESENT(dPsi_in)) THEN
+        dPsi = dPsi_in
+
+      ELSE
+        dPsi = self%dPsi(xi)
+
+      END IF
+
+      CALL self%partialDer(dPsi, dx, dy)
+      dJ = dx(1)*dy(2)-dx(2)*dy(1)
+
+    END FUNCTION detJ2DCart
+
+    !Computes element Jacobian inverse matrix (without determinant)
+    PURE FUNCTION invJ2DCart(self,xi,dPsi_in) RESULT(invJ)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCart), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
+      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8):: dx(1:2), dy(1:2)
+      REAL(8):: invJ(1:2,1:2)
+
+      IF(PRESENT(dPsi_in)) THEN
+        dPsi=dPsi_in
+
+      ELSE
+        dPsi = self%dPsi(xi)
+
+      END IF
+
+      CALL self%partialDer(dPsi, dx, dy)
+      invJ(1,:) = (/  dy(2), -dx(2) /)
+      invJ(2,:) = (/ -dy(1),  dx(1) /)
+
+    END FUNCTION invJ2DCart
+
+END MODULE moduleMesh2DCart
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCartBoundary.f90 b/src/modules/mesh/2DCart/moduleMesh2DCartBoundary.f90
new file mode 100644
index 0000000..e4cbe1c
--- /dev/null
+++ b/src/modules/mesh/2DCart/moduleMesh2DCartBoundary.f90
@@ -0,0 +1,154 @@
+!moduleMesh2DCartBoundary: Boundary functions for cylindrical coordinates
+SUBMODULE (moduleMesh2DCart) moduleMesh2DCartBoundary
+  USE moduleMesh2DCart
+
+  CONTAINS
+    SUBROUTINE reflection(edge, part)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+      REAL(8):: edgeNorm, cosT, sinT, rp(1:2), rpp(1:2), vpp(1:2)
+
+      !TODO: Try to do this without select
+      SELECT TYPE(edge)
+      TYPE IS(meshEdge2DCart)
+        edgeNorm = DSQRT((edge%y(2)-edge%y(1))**2 + (edge%x(2)-edge%x(1))**2)
+        cosT = (edge%x(2)-edge%x(1))/edgeNorm
+        sinT = DSQRT(1-cosT**2)
+
+        rp(1) = part%r(1) - edge%x(1);
+        rp(2) = part%r(2) - edge%y(1);
+
+        rpp(1) = cosT*rp(1) - sinT*rp(2)
+        rpp(2) = sinT*rp(1) + cosT*rp(2)
+        rpp(2) = -rpp(2)
+
+        vpp(1) = cosT*part%v(1) - sinT*part%v(2)
+        vpp(2) = sinT*part%v(1) + cosT*part%v(2)
+        vpp(2) = -vpp(2)
+
+        part%r(1) =  cosT*rpp(1) + sinT*rpp(2) + edge%x(1);
+        part%r(2) = -sinT*rpp(1) + cosT*rpp(2) + edge%y(1);
+        part%v(1) =  cosT*vpp(1) + sinT*vpp(2)
+        part%v(2) = -sinT*vpp(1) + cosT*vpp(2)
+
+      END SELECT
+
+      part%n_in = .TRUE.
+
+    END SUBROUTINE reflection
+
+    !Absoption in a surface
+    SUBROUTINE absorption(edge, part)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+      REAL(8):: rEdge(1:2) !Position of particle projected to the edge
+      REAL(8):: a, b, c
+      REAL(8):: a2b2
+      REAL(8):: d !Distance from particle to edge
+
+      SELECT TYPE(edge)
+      TYPE IS(meshEdge2DCart)
+        a = (edge%x(1) - edge%x(2))
+        b = (edge%y(1) - edge%y(2))
+        c =  edge%x(1)*edge%y(2) - edge%x(2)*edge%y(1)
+
+        a2b2 = a**2 + b**2
+
+        rEdge(1) = (b*( b*part%r(1) - a*part%r(2)) - a*c)/a2b2
+        rEdge(2) = (a*(-b*part%r(1) + a*part%r(2)) - b*c)/a2b2
+
+        d = NORM2(rEdge - part%r(1:2))
+        !Reduce weight of particle by the distance to the edge and move it to the edge
+        IF (d > 0.D0) THEN
+          part%weight = part%weight / d
+          part%r(1:2) = rEdge
+
+        END IF
+
+        !Scatter particle in associated volume
+        IF (ASSOCIATED(edge%e1)) THEN
+          CALL edge%e1%scatter(part)
+
+        ELSE
+          CALL edge%e2%scatter(part)
+
+        END IF
+
+      END SELECT
+
+      !Remove particle from the domain
+      part%n_in = .FALSE.
+
+    END SUBROUTINE absorption
+
+    !Transparent boundary condition
+    SUBROUTINE transparent(edge, part)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+
+      !Removes particle from domain
+      part%n_in = .FALSE.
+
+    END SUBROUTINE transparent
+
+    !Wall with temperature
+    SUBROUTINE wallTemperature(edge, part)
+      USE moduleSpecies
+      USE moduleBoundary
+      USE moduleRandom
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+      REAL(8):: edgeNorm, cosT, sinT, rp(1:2), rpp(1:2), vpp(1:2)
+      INTEGER:: i
+
+      !Modifies particle velocity according to wall temperature
+      SELECT TYPE(bound => edge%boundary%bTypes(part%sp)%obj)
+      TYPE IS(boundaryWallTemperature)
+        DO i = 1, 3
+          part%v(i) = part%v(i) + bound%vTh*randomMaxwellian()
+
+        END DO
+          
+      END SELECT
+
+      !Reflects particle in the edge
+      SELECT TYPE(edge)
+      TYPE IS(meshEdge2DCart)
+        edgeNorm = DSQRT((edge%y(2)-edge%y(1))**2 + (edge%x(2)-edge%x(1))**2)
+        cosT = (edge%x(2)-edge%x(1))/edgeNorm
+        sinT = DSQRT(1-cosT**2)
+
+        rp(1) = part%r(1) - edge%x(1);
+        rp(2) = part%r(2) - edge%y(1);
+
+        rpp(1) = cosT*rp(1) - sinT*rp(2)
+        rpp(2) = sinT*rp(1) + cosT*rp(2)
+        rpp(2) = -rpp(2)
+
+        vpp(1) = cosT*part%v(1) - sinT*part%v(2)
+        vpp(2) = sinT*part%v(1) + cosT*part%v(2)
+        vpp(2) = -vpp(2)
+
+        part%r(1) =  cosT*rpp(1) + sinT*rpp(2) + edge%x(1);
+        part%r(2) = -sinT*rpp(1) + cosT*rpp(2) + edge%y(1);
+        part%v(1) =  cosT*vpp(1) + sinT*vpp(2)
+        part%v(2) = -sinT*vpp(1) + cosT*vpp(2)
+
+      END SELECT
+
+      part%n_in = .TRUE.
+
+    END SUBROUTINE wallTemperature
+
+END SUBMODULE moduleMesh2DCartBoundary
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90 b/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
new file mode 100644
index 0000000..db537c6
--- /dev/null
+++ b/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
@@ -0,0 +1,599 @@
+MODULE moduleMesh2DCartRead
+  USE moduleMesh
+  USE moduleMesh2DCart
+
+  TYPE, EXTENDS(meshGeneric):: mesh2DCartGeneric
+    CONTAINS
+      PROCEDURE, PASS:: init     => init2DCartMesh
+      PROCEDURE, PASS:: readMesh => readMesh2DCartGmsh
+
+  END TYPE
+
+  INTERFACE connected
+    MODULE PROCEDURE connectedVolVol, connectedVolEdge
+
+  END INTERFACE connected
+
+  CONTAINS
+    !Init mesh
+    SUBROUTINE init2DCartMesh(self, meshFormat)
+      USE moduleMesh
+      USE moduleErrors
+      IMPLICIT NONE
+
+      CLASS(mesh2DCartGeneric), INTENT(out):: self
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: meshFormat
+
+      SELECT CASE(meshFormat)
+      CASE ("gmsh")
+        self%printOutput => printOutputGmsh
+        self%printColl   => printCollGmsh
+        self%printEM     => printEMGmsh
+
+      CASE DEFAULT
+        CALL criticalError("Mesh type " // meshFormat // " not supported.", "init2DCartMesh")
+        
+      END SELECT
+
+    END SUBROUTINE init2DCartMesh
+
+    !Read mesh from gmsh file
+    SUBROUTINE readMesh2DCartGmsh(self, filename)
+      USE moduleBoundary
+      IMPLICIT NONE
+
+      CLASS(mesh2DCartGeneric), INTENT(inout):: self
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
+      REAL(8):: x, y
+      INTEGER:: p(1:4)
+      INTEGER:: e=0, et=0, n=0, eTemp=0, elemType=0, bt = 0
+      INTEGER:: totalNumElem
+      INTEGER:: boundaryType
+
+      !Read msh
+      OPEN(10, FILE=TRIM(filename))
+      !Skip header
+      READ(10, *)
+      READ(10, *)
+      READ(10, *)
+      READ(10, *)
+      !Read number of nodes
+      READ(10, *) self%numNodes
+      !Allocate required matrices and vectors
+      ALLOCATE(self%nodes(1:self%numNodes))
+      ALLOCATE(self%K(1:self%numNodes,1:self%numNodes))
+      ALLOCATE(self%IPIV(1:self%numNodes,1:self%numNodes))
+      self%K = 0.D0
+      self%IPIV = 0
+      !Read nodes cartesian coordinates (x=x, y=y, z=null)
+      DO e=1, self%numNodes
+        READ(10, *) n, x, y
+        ALLOCATE(meshNode2DCart:: self%nodes(n)%obj)
+        CALL self%nodes(n)%obj%init(n, (/x, y, 0.D0 /))
+
+      END DO
+      !Skips comments
+      READ(10, *)
+      READ(10, *)
+      !Reads Totalnumber of elements
+      READ(10, *) TotalnumElem
+      !counts edges and volume elements
+      self%numEdges = 0
+      DO e=1, TotalnumElem
+        READ(10,*) eTemp, elemType
+        IF (elemType==1) THEN
+          self%numEdges=e
+        END IF
+      END DO
+      !Substract the number of edges to the total number of elements
+      !to obtain the number of volume elements
+      self%numVols = TotalnumElem - self%numEdges
+      !Allocates arrays
+      ALLOCATE(self%edges(1:self%numEdges))
+      ALLOCATE(self%vols(1:self%numVols))
+
+      !Go back to the beggining to read elements
+      DO e=1, totalNumElem
+        BACKSPACE(10)
+      END DO
+
+      !Reads edges
+      DO e=1, self%numEdges
+        READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
+        !Associate boundary condition procedure.
+        bt = getBoundaryId(boundaryType)
+
+        ALLOCATE(meshEdge2DCart:: self%edges(e)%obj)
+
+        CALL self%edges(e)%obj%init(n, p(1:2), bt, boundaryType)
+
+      END DO
+
+      !Read and initialize volumes
+      DO e=1, self%numVols
+        READ(10,*) n, elemType
+        BACKSPACE(10)
+
+        SELECT CASE(elemType)
+        CASE (2)
+          !Triangular element
+          READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:3)
+          ALLOCATE(meshVol2DCartTria:: self%vols(e)%obj)
+          CALL self%vols(e)%obj%init(n - self%numEdges, p(1:3))
+
+        CASE (3)
+          !Quadrilateral element
+          READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:4)
+          ALLOCATE(meshVol2DCartQuad:: self%vols(e)%obj)
+          CALL self%vols(e)%obj%init(n - self%numEdges, p(1:4))
+
+        END SELECT
+
+      END DO
+
+      CLOSE(10)
+
+      !Build connectivity between elements
+      DO e = 1, self%numVols
+        !Connectivity between volumes
+        DO et = 1, self%numVols
+          IF (e /= et) THEN
+            CALL connected(self%vols(e)%obj, self%vols(et)%obj)
+
+          END IF
+        END DO
+
+        !Connectivity between vols and edges
+        DO et = 1, self%numEdges
+          CALL connected(self%vols(e)%obj, self%edges(et)%obj)
+
+        END DO
+
+        !Constructs the global K matrix
+        CALL constructGlobalK(self%K, self%vols(e)%obj)
+
+      END DO
+
+    END SUBROUTINE readMesh2DCartGmsh
+
+    !Selects type of elements to build connection
+    SUBROUTINE connectedVolVol(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol), INTENT(inout):: elemA
+      CLASS(meshVol), INTENT(inout):: elemB
+
+      SELECT TYPE(elemA)
+      TYPE IS(meshVol2DCartQuad)
+        !Element A is a quadrilateral
+        SELECT TYPE(elemB)
+        TYPE IS(meshVol2DCartQuad)
+          !Element B is a quadrilateral
+          CALL connectedQuadQuad(elemA, elemB)
+
+        TYPE IS(meshVol2DCartTria)
+          !Element B is a triangle
+          CALL connectedQuadTria(elemA, elemB)
+
+        END SELECT
+
+      TYPE IS(meshVol2DCartTria)
+        !Element A is a Triangle
+        SELECT TYPE(elemB)
+        TYPE IS(meshVol2DCartQuad)
+          !Element B is a quadrilateral
+          CALL connectedQuadTria(elemB, elemA)
+
+        TYPE IS(meshVol2DCartTria)
+          !Element B is a triangle
+          CALL connectedTriaTria(elemA, elemB)
+
+        END SELECT
+
+      END SELECT
+
+    END SUBROUTINE connectedVolVol
+
+    SUBROUTINE connectedVolEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol),  INTENT(inout):: elemA
+      CLASS(meshEdge), INTENT(inout):: elemB
+
+      SELECT TYPE(elemB)
+      CLASS IS(meshEdge2DCart)
+        SELECT TYPE(elemA)
+        TYPE IS(meshVol2DCartQuad)
+          !Element A is a quadrilateral
+          CALL connectedQuadEdge(elemA, elemB)
+
+        TYPE IS(meshVol2DCartTria)
+          !Element A is a triangle
+          CALL connectedTriaEdge(elemA, elemB)
+
+        END SELECT
+
+      END SELECT
+
+    END SUBROUTINE connectedVolEdge
+
+    SUBROUTINE connectedQuadQuad(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
+          elemA%n1%n == elemB%n4%n   .AND. &
+          elemA%n2%n == elemB%n3%n) THEN
+        elemA%e1 => elemB
+        elemB%e3 => elemA
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
+          elemA%n2%n == elemB%n1%n   .AND. &
+          elemA%n3%n == elemB%n4%n) THEN
+        elemA%e2 => elemB
+        elemB%e4 => elemA
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3) .AND. &
+          elemA%n3%n == elemB%n2%n   .AND. &
+          elemA%n4%n == elemB%n1%n) THEN
+        elemA%e3 => elemB
+        elemB%e1 => elemA
+
+      END IF
+
+      !Check direction 4
+      IF (.NOT. ASSOCIATED(elemA%e4) .AND. &
+          elemA%n4%n == elemB%n3%n   .AND. &
+          elemA%n1%n == elemB%n2%n) THEN
+        elemA%e4 => elemB
+        elemB%e2 => elemA
+
+      END IF
+
+    END SUBROUTINE connectedQuadQuad
+
+    SUBROUTINE connectedQuadTria(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (elemA%n1%n == elemB%n1%n .AND. &
+                elemA%n2%n == elemB%n3%n) THEN
+          elemA%e1 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n3%n .AND. &
+                elemA%n2%n == elemB%n2%n) THEN
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
+                elemA%n2%n == elemB%n1%n) THEN
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (elemA%n2%n == elemB%n1%n .AND. &
+                elemA%n3%n == elemB%n3%n) THEN
+          elemA%e2 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n3%n .AND. &
+                elemA%n3%n == elemB%n2%n) THEN
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
+                elemA%n3%n == elemB%n1%n) THEN
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (elemA%n3%n == elemB%n1%n .AND. &
+                elemA%n4%n == elemB%n3%n) THEN
+          elemA%e3 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n3%n .AND. &
+                elemA%n4%n == elemB%n2%n) THEN
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
+                elemA%n4%n == elemB%n1%n) THEN
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 4
+      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
+        IF     (elemA%n4%n == elemB%n1%n .AND. &
+                elemA%n1%n == elemB%n3%n) THEN
+          elemA%e4 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n3%n .AND. &
+                elemA%n1%n == elemB%n2%n) THEN
+          elemA%e4 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
+                elemA%n1%n == elemB%n1%n) THEN
+          elemA%e4 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+    END SUBROUTINE connectedQuadTria
+
+    SUBROUTINE connectedTriaTria(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (elemA%n1%n == elemB%n1%n .AND. &
+                elemA%n2%n == elemB%n3%n) THEN
+          elemA%e1 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
+                elemA%n2%n == elemB%n1%n) THEN
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n3%n .AND. &
+                elemA%n2%n == elemB%n2%n) THEN
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (elemA%n2%n == elemB%n1%n .AND. &
+                elemA%n3%n == elemB%n3%n) THEN
+          elemA%e2 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
+                elemA%n3%n == elemB%n1%n) THEN
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n3%n .AND. &
+                elemA%n3%n == elemB%n2%n) THEN
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+        END IF
+
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (elemA%n3%n == elemB%n1%n .AND. &
+                elemA%n1%n == elemB%n3%n) THEN
+          elemA%e3 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
+                elemA%n1%n == elemB%n1%n) THEN
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n3%n .AND. &
+                elemA%n1%n == elemB%n2%n) THEN
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+        END IF
+
+
+      END IF
+
+    END SUBROUTINE connectedTriaTria
+
+    SUBROUTINE connectedQuadEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshEdge2DCart),    INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (elemA%n1%n == elemB%n1%n .AND. &
+                elemA%n2%n == elemB%n2%n) THEN
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
+                elemA%n2%n == elemB%n1%n) THEN
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (elemA%n2%n == elemB%n1%n .AND. &
+                elemA%n3%n == elemB%n2%n) THEN
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
+                elemA%n3%n == elemB%n1%n) THEN
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (elemA%n3%n == elemB%n1%n .AND. &
+                elemA%n4%n == elemB%n2%n) THEN
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
+                elemA%n4%n == elemB%n1%n) THEN
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 4
+      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
+        IF     (elemA%n4%n == elemB%n1%n .AND. &
+                elemA%n1%n == elemB%n2%n) THEN
+          elemA%e4 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
+                elemA%n1%n == elemB%n1%n) THEN
+          elemA%e4 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+    END SUBROUTINE connectedQuadEdge
+
+    SUBROUTINE connectedTriaEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemA
+      CLASS(meshEdge2DCart),    INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (elemA%n1%n == elemB%n1%n .AND. &
+                elemA%n2%n == elemB%n2%n) THEN
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
+                elemA%n2%n == elemB%n1%n) THEN
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (elemA%n2%n == elemB%n1%n .AND. &
+                elemA%n3%n == elemB%n2%n) THEN
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
+                elemA%n3%n == elemB%n1%n) THEN
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (elemA%n3%n == elemB%n1%n .AND. &
+                elemA%n1%n == elemB%n2%n) THEN
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
+                elemA%n1%n == elemB%n1%n) THEN
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+    END SUBROUTINE connectedTriaEdge
+
+    SUBROUTINE constructGlobalK(K, elem)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(inout):: K(1:,1:)
+      CLASS(meshVol), INTENT(in):: elem
+      REAL(8), ALLOCATABLE:: localK(:,:)
+      INTEGER:: nNodes, i, j
+      INTEGER, ALLOCATABLE:: n(:)
+
+      SELECT TYPE(elem)
+      TYPE IS(meshVol2DCartQuad)
+        nNodes = 4
+        ALLOCATE(localK(1:nNodes,1:nNodes))
+        localK = elem%elemK()
+        ALLOCATE(n(1:nNodes))
+        n = (/ elem%n1%n, elem%n2%n, &
+               elem%n3%n, elem%n4%n /)
+
+      TYPE IS(meshVol2DCartTria)
+        nNodes = 3
+        ALLOCATE(localK(1:nNodes,1:nNodes))
+        localK = elem%elemK()
+        ALLOCATE(n(1:nNodes))
+        n = (/ elem%n1%n, elem%n2%n, elem%n3%n /)
+
+      CLASS DEFAULT
+        nNodes = 0
+        ALLOCATE(localK(1:1, 1:1))
+        localK = 0.D0
+        ALLOCATE(n(1:1))
+        n = 0
+
+      END SELECT
+      
+      DO i = 1, nNodes
+        DO j = 1, nNodes
+          K(n(i), n(j)) = K(n(i), n(j)) + localK(i, j)
+        END DO
+      END DO
+
+    END SUBROUTINE constructGlobalK
+
+END MODULE moduleMesh2DCartRead
diff --git a/src/modules/mesh/2DCyl/makefile b/src/modules/mesh/2DCyl/makefile
index 73cd926..fd8e453 100644
--- a/src/modules/mesh/2DCyl/makefile
+++ b/src/modules/mesh/2DCyl/makefile
@@ -1,11 +1,11 @@
-all : moduleMeshCyl.o moduleMeshCylBoundary.o moduleMeshCylRead.o
+all : moduleMesh2DCyl.o moduleMesh2DCylBoundary.o moduleMesh2DCylRead.o
 
-moduleMeshCyl.o: moduleMeshCyl.f90
+moduleMesh2DCyl.o: moduleMesh2DCyl.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleMeshCylBoundary.o: moduleMeshCyl.o moduleMeshCylBoundary.f90
+moduleMesh2DCylBoundary.o: moduleMesh2DCyl.o moduleMesh2DCylBoundary.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleMeshCylRead.o: moduleMeshCyl.o moduleMeshCylBoundary.o moduleMeshCylRead.f90
+moduleMesh2DCylRead.o: moduleMesh2DCyl.o moduleMesh2DCylBoundary.o moduleMesh2DCylRead.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
diff --git a/src/modules/mesh/2DCyl/moduleMeshCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
similarity index 88%
rename from src/modules/mesh/2DCyl/moduleMeshCyl.f90
rename to src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index ad377dc..da1b620 100644
--- a/src/modules/mesh/2DCyl/moduleMeshCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -1,8 +1,8 @@
-!moduleMeshCyl: 2D axial symmetric extension of generic mesh from GMSH format.
+!moduleMesh2DCyl: 2D axial symmetric extension of generic mesh from GMSH format.
 !               x == z
 !               y == r
 !               z == theta (unused)
-MODULE moduleMeshCyl
+MODULE moduleMesh2DCyl
   USE moduleMesh
   IMPLICIT NONE
 
@@ -14,26 +14,26 @@ MODULE moduleMeshCyl
   REAL(8), PARAMETER:: xi2Tria(1:4) = (/   1.D0/3.D0,   1.D0/5.D0,   1.D0/5.D0,   3.D0/5.D0  /)
   REAL(8), PARAMETER:: wTria(1:4)   = (/ -27.D0/96.D0, 25.D0/96.D0, 25.D0/96.D0, 25.D0/96.D0 /)
 
-  TYPE, PUBLIC, EXTENDS(meshNode):: meshNodeCyl
+  TYPE, PUBLIC, EXTENDS(meshNode):: meshNode2DCyl
     !Element coordinates
     REAL(8):: r = 0.D0, z = 0.D0
     CONTAINS
-      PROCEDURE, PASS:: init => initNodeCyl
-      PROCEDURE, PASS:: getCoordinates => getCoordCyl
+      PROCEDURE, PASS:: init => initNode2DCyl
+      PROCEDURE, PASS:: getCoordinates => getCoord2DCyl
 
-  END TYPE meshNodeCyl
+  END TYPE meshNode2DCyl
 
-  TYPE, PUBLIC, EXTENDS(meshEdge):: meshEdgeCyl
+  TYPE, PUBLIC, EXTENDS(meshEdge):: meshEdge2DCyl
     !Element coordinates
     REAL(8):: r(1:2) = 0.D0, z(1:2) = 0.D0
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL()
     CONTAINS
-      PROCEDURE, PASS:: init     => initEdgeCyl
-      PROCEDURE, PASS:: getNodes => getNodesCyl
+      PROCEDURE, PASS:: init     => initEdge2DCyl
+      PROCEDURE, PASS:: getNodes => getNodes2DCyl
       PROCEDURE, PASS:: randPos  => randPosEdge
 
-  END TYPE meshEdgeCyl
+  END TYPE meshEdge2DCyl
 
   !Boundary functions defined in the submodule Boundary
   INTERFACE
@@ -84,15 +84,15 @@ MODULE moduleMeshCyl
 
   END INTERFACE
 
-  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVolCyl
+  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol2DCyl
     CONTAINS
-      PROCEDURE, PASS:: detJac    => detJCyl
-      PROCEDURE, PASS:: invJac    => invJCyl
+      PROCEDURE, PASS:: detJac    => detJ2DCyl
+      PROCEDURE, PASS:: invJac    => invJ2DCyl
       PROCEDURE(fPsi_interface), DEFERRED, NOPASS:: fPsi
       PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
       PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
 
-  END TYPE meshVolCyl
+  END TYPE meshVol2DCyl
 
   ABSTRACT INTERFACE
     PURE FUNCTION fPsi_interface(xi) RESULT(fPsi)
@@ -108,8 +108,8 @@ MODULE moduleMeshCyl
     END FUNCTION dPsi_interface
 
     PURE SUBROUTINE partialDer_interface(self, dPsi, dz, dr)
-      IMPORT meshVolCyl
-      CLASS(meshVolCyl), INTENT(in):: self
+      IMPORT meshVol2DCyl
+      CLASS(meshVol2DCyl), INTENT(in):: self
       REAL(8), INTENT(in):: dPsi(1:,1:)
       REAL(8), INTENT(out), DIMENSION(1:2):: dz, dr
 
@@ -118,7 +118,7 @@ MODULE moduleMeshCyl
   END INTERFACE
 
   !Quadrilateral volume element
-  TYPE, PUBLIC, EXTENDS(meshVolCyl):: meshVolCylQuad
+  TYPE, PUBLIC, EXTENDS(meshVol2DCyl):: meshVol2DCylQuad
     !Element coordinates
     REAL(8):: r(1:4) = 0.D0, z(1:4) = 0.D0
     !Connectivity to nodes
@@ -128,7 +128,7 @@ MODULE moduleMeshCyl
     REAL(8):: arNodes(1:4) = 0.D0
 
     CONTAINS
-      PROCEDURE, PASS::   init        => initVolQuadCyl
+      PROCEDURE, PASS::   init        => initVolQuad2DCyl
       PROCEDURE, PASS::   randPos     => randPosVolQuad
       PROCEDURE, PASS::   area        => areaQuad
       PROCEDURE, NOPASS:: fPsi        => fPsiQuad
@@ -146,10 +146,10 @@ MODULE moduleMeshCyl
       PROCEDURE, PASS::   phy2log     => phy2logQuad
       PROCEDURE, PASS::   nextElement => nextElementQuad
 
-  END TYPE meshVolCylQuad
+  END TYPE meshVol2DCylQuad
 
   !Triangular volume element
-  TYPE, PUBLIC, EXTENDS(meshVolCyl):: meshVolCylTria
+  TYPE, PUBLIC, EXTENDS(meshVol2DCyl):: meshVol2DCylTria
     !Element coordinates
     REAL(8):: r(1:3) = 0.D0, z(1:3) = 0.D0
     !Connectivity to nodes
@@ -157,11 +157,9 @@ MODULE moduleMeshCyl
     !Connectivity to adjacent elements
     CLASS(*), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL()
     REAL(8):: arNodes(1:3) = 0.D0
-    !Derivatives in z,r real space
-    REAL(8), DIMENSION(1:3):: dPsiZ, dPsiR
 
     CONTAINS
-      PROCEDURE, PASS::   init        => initVolTriaCyl
+      PROCEDURE, PASS::   init        => initVolTria2DCyl
       PROCEDURE, PASS::   randPos     => randPosVolTria
       PROCEDURE, PASS::   area        => areaTria
       PROCEDURE, NOPASS:: fPsi        => fPsiTria
@@ -179,51 +177,51 @@ MODULE moduleMeshCyl
       PROCEDURE, PASS::   phy2log     => phy2logTria
       PROCEDURE, PASS::   nextElement => nextElementTria
 
-  END TYPE meshVolCylTria
+  END TYPE meshVol2DCylTria
 
   CONTAINS
     !NODE FUNCTIONS
     !Inits node element
-    SUBROUTINE initNodeCyl(self, n, r)
+    SUBROUTINE initNode2DCyl(self, n, r)
       USE moduleSpecies
       USE moduleRefParam
       IMPLICIT NONE
 
-      CLASS(meshNodeCyl), INTENT(out):: self
+      CLASS(meshNode2DCyl), INTENT(out):: self
       INTEGER, INTENT(in):: n
       REAL(8), INTENT(in):: r(1:3)
 
       self%n = n
-      self%z = r(2)/L_ref
-      self%r = r(1)/L_ref
+      self%z = r(1)/L_ref
+      self%r = r(2)/L_ref
       !Node volume, to be determined in mesh
       self%v = 0.D0
 
       !Allocates output:
       ALLOCATE(self%output(1:nSpecies))
 
-    END SUBROUTINE initNodeCyl
+    END SUBROUTINE initNode2DCyl
 
     !Get coordinates from node
-    PURE FUNCTION getCoordCyl(self) RESULT(r)
+    PURE FUNCTION getCoord2DCyl(self) RESULT(r)
       IMPLICIT NONE
 
-      CLASS(meshNodeCyl), INTENT(in):: self
+      CLASS(meshNode2DCyl), INTENT(in):: self
       REAL(8):: r(1:3)
 
       r = (/self%z, self%r, 0.D0/)
 
-    END FUNCTION getCoordCyl
+    END FUNCTION getCoord2DCyl
 
     !EDGE FUNCTIONS
     !Inits edge element
-    SUBROUTINE initEdgeCyl(self, n, p, bt, physicalSurface)
+    SUBROUTINE initEdge2DCyl(self, n, p, bt, physicalSurface)
       USE moduleSpecies
       USE moduleBoundary
       USE moduleErrors
       IMPLICIT NONE
 
-      CLASS(meshEdgeCyl), INTENT(out):: self
+      CLASS(meshEdge2DCyl), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
       INTEGER, INTENT(in):: bt
@@ -265,7 +263,7 @@ MODULE moduleMeshCyl
           self%fBoundary(s)%apply => symmetryAxis
 
         CLASS DEFAULT
-          CALL criticalError("Boundary type not defined in this geometry", 'initEdgeCyl')
+          CALL criticalError("Boundary type not defined in this geometry", 'initEdge2DCyl')
 
         END SELECT
 
@@ -274,14 +272,14 @@ MODULE moduleMeshCyl
       !Physical surface
       self%physicalSurface = physicalSurface
 
-    END SUBROUTINE initEdgeCyl
+    END SUBROUTINE initEdge2DCyl
 
     !Random position in quadrilateral volume
     FUNCTION randPosVolQuad(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
 
-      CLASS(meshVolCylQuad), INTENT(in):: self
+      CLASS(meshVol2DCylQuad), INTENT(in):: self
       REAL(8):: r(1:3)
       REAL(8):: xii(1:3)
       REAL(8), ALLOCATABLE:: fPsi(:)
@@ -299,23 +297,23 @@ MODULE moduleMeshCyl
     END FUNCTION randposVolQuad
 
     !Get nodes from edge
-    PURE FUNCTION getNodesCyl(self) RESULT(n)
+    PURE FUNCTION getNodes2DCyl(self) RESULT(n)
       IMPLICIT NONE
 
-      CLASS(meshEdgeCyl), INTENT(in):: self
+      CLASS(meshEdge2DCyl), INTENT(in):: self
       INTEGER, ALLOCATABLE:: n(:)
 
       ALLOCATE(n(1:2))
       n = (/self%n1%n, self%n2%n /)
 
-    END FUNCTION getNodesCyl
+    END FUNCTION getNodes2DCyl
 
     !Calculates a random position in edge
     FUNCTION randPosEdge(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
 
-      CLASS(meshEdgeCyl), INTENT(in):: self
+      CLASS(meshEdge2DCyl), INTENT(in):: self
       REAL(8):: rnd
       REAL(8):: r(1:3)
       REAL(8):: p1(1:2), p2(1:2)
@@ -332,11 +330,11 @@ MODULE moduleMeshCyl
     !VOLUME FUNCTIONS
     !QUAD FUNCTIONS
     !Inits quadrilateral element
-    SUBROUTINE initVolQuadCyl(self, n, p)
+    SUBROUTINE initVolQuad2DCyl(self, n, p)
       USE moduleRefParam
       IMPLICIT NONE
 
-      CLASS(meshVolCylQuad), INTENT(out):: self
+      CLASS(meshVol2DCylQuad), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3, r4
@@ -365,14 +363,14 @@ MODULE moduleMeshCyl
 
       CALL OMP_INIT_LOCK(self%lock)
 
-    END SUBROUTINE initVolQuadCyl
+    END SUBROUTINE initVolQuad2DCyl
 
     !Computes element area
     PURE SUBROUTINE areaQuad(self)
       USE moduleConstParam, ONLY: PI8
       IMPLICIT NONE
 
-      CLASS(meshVolCylQuad), INTENT(inout):: self
+      CLASS(meshVol2DCylQuad), INTENT(inout):: self
       REAL(8):: r, xi(1:3)
       REAL(8):: detJ
       REAL(8):: fPsi(1:4)
@@ -453,7 +451,7 @@ MODULE moduleMeshCyl
     PURE SUBROUTINE partialDerQuad(self, dPsi, dz, dr)
       IMPLICIT NONE
 
-      CLASS(meshVolCylQuad), INTENT(in):: self
+      CLASS(meshVol2DCylQuad), INTENT(in):: self
       REAL(8), INTENT(in):: dPsi(1:,1:)
       REAL(8), INTENT(out), DIMENSION(1:2):: dz, dr
 
@@ -469,7 +467,7 @@ MODULE moduleMeshCyl
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
-      CLASS(meshVolCylQuad), INTENT(in):: self
+      CLASS(meshVol2DCylQuad), INTENT(in):: self
       REAL(8):: r, xi(1:3)
       REAL(8):: fPsi(1:4), dPsi(1:2,1:4)
       REAL(8):: ke(1:4,1:4)
@@ -502,7 +500,7 @@ MODULE moduleMeshCyl
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
-      CLASS(meshVolCylQuad), INTENT(in):: self
+      CLASS(meshVol2DCylQuad), INTENT(in):: self
       REAL(8), INTENT(in):: source(1:)
       REAL(8), ALLOCATABLE:: localF(:)
       REAL(8):: r, xi(1:3)
@@ -558,7 +556,7 @@ MODULE moduleMeshCyl
       USE moduleSpecies
       IMPLICIT NONE
 
-      CLASS(meshVolCylQuad), INTENT(in):: self
+      CLASS(meshVol2DCylQuad), INTENT(in):: self
       CLASS(particle), INTENT(in):: part
       TYPE(outputNode), POINTER:: vertex
       REAL(8):: w_p(1:4)
@@ -593,7 +591,7 @@ MODULE moduleMeshCyl
     PURE FUNCTION gatherEFQuad(self,xi) RESULT(EF)
       IMPLICIT NONE
 
-      CLASS(meshVolCylQuad), INTENT(in):: self
+      CLASS(meshVol2DCylQuad), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
       REAL(8):: dPsi(1:2,1:4)
       REAL(8):: dPsiR(1:2,1:4)!Derivative of shpae functions in global coordinates
@@ -620,7 +618,7 @@ MODULE moduleMeshCyl
     PURE FUNCTION getNodesQuad(self) RESULT(n)
       IMPLICIT NONE
 
-      CLASS(meshVolCylQuad), INTENT(in):: self
+      CLASS(meshVol2DCylQuad), INTENT(in):: self
       INTEGER, ALLOCATABLE:: n(:)
 
       ALLOCATE(n(1:4))
@@ -632,7 +630,7 @@ MODULE moduleMeshCyl
     PURE FUNCTION phy2logQuad(self,r) RESULT(xN) 
       IMPLICIT NONE
 
-      CLASS(meshVolCylQuad), INTENT(in):: self
+      CLASS(meshVol2DCylQuad), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: xN(1:3)
       REAL(8):: xO(1:3), detJ, invJ(1:2,1:2), f(1:2)
@@ -662,7 +660,7 @@ MODULE moduleMeshCyl
     SUBROUTINE nextElementQuad(self, xi, nextElement)
       IMPLICIT NONE
 
-      CLASS(meshVolCylQuad), INTENT(in):: self
+      CLASS(meshVol2DCylQuad), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
       CLASS(*), POINTER, INTENT(out):: nextElement
       REAL(8):: xiArray(1:4)
@@ -687,15 +685,14 @@ MODULE moduleMeshCyl
 
     !TRIA ELEMENT
     !Init tria element
-    SUBROUTINE initVolTriaCyl(self, n, p)
+    SUBROUTINE initVolTria2DCyl(self, n, p)
       USE moduleRefParam
       IMPLICIT NONE
 
-      CLASS(meshVolCylTria), INTENT(out):: self
+      CLASS(meshVol2DCylTria), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3
-      REAL(8):: A
 
       !Assign node index
       self%n = n
@@ -716,31 +713,18 @@ MODULE moduleMeshCyl
       self%n2%v = self%n2%v + self%arNodes(2)
       self%n3%v = self%n3%v + self%arNodes(3)
 
-      !Derivatives in z/r for shape functions (node independent)
-      A = self%z(2)*self%r(3) - self%z(3)*self%r(2) + &
-          self%z(3)*self%r(1) - self%z(1)*self%r(3) + &
-          self%z(1)*self%r(2) - self%z(2)*self%r(1)
-
-      self%dPsiZ = (/ self%r(2)-self%r(3), &
-                      self%r(3)-self%r(1), &
-                      self%r(1)-self%r(2) /)/A
-
-      self%dPsiR = (/ self%z(3)-self%z(2), &
-                      self%z(1)-self%z(3), &
-                      self%z(2)-self%z(1) /)/A
-
       self%sigmaVrelMax = sigma_ref/L_ref**2
 
       CALL OMP_INIT_LOCK(self%lock)
 
-    END SUBROUTINE initVolTriaCyl
+    END SUBROUTINE initVolTria2DCyl
 
     !Random position in quadrilateral volume
     FUNCTION randPosVolTria(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
 
-      CLASS(meshVolCylTria), INTENT(in):: self
+      CLASS(meshVol2DCylTria), INTENT(in):: self
       REAL(8):: r(1:3)
       REAL(8):: xii(1:3)
       REAL(8), ALLOCATABLE:: fPsi(:)
@@ -762,7 +746,7 @@ MODULE moduleMeshCyl
       USE moduleConstParam, ONLY: PI
       IMPLICIT NONE
 
-      CLASS(meshVolCylTria), INTENT(inout):: self
+      CLASS(meshVol2DCylTria), INTENT(inout):: self
       REAL(8):: r, xi(1:3)
       REAL(8):: detJ
       REAL(8):: fPsi(1:3)
@@ -837,7 +821,7 @@ MODULE moduleMeshCyl
     PURE SUBROUTINE partialDerTria(self, dPsi, dz, dr)
       IMPLICIT NONE
 
-      CLASS(meshVolCylTria), INTENT(in):: self
+      CLASS(meshVol2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: dPsi(1:,1:)
       REAL(8), INTENT(out), DIMENSION(1:2):: dz, dr
 
@@ -853,7 +837,7 @@ MODULE moduleMeshCyl
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
-      CLASS(meshVolCylTria), INTENT(in):: self
+      CLASS(meshVol2DCylTria), INTENT(in):: self
       REAL(8):: r, xi(1:3)
       REAL(8):: fPsi(1:3), dPsi(1:2,1:3)
       REAL(8):: ke(1:3,1:3)
@@ -883,7 +867,7 @@ MODULE moduleMeshCyl
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
-      CLASS(meshVolCylTria), INTENT(in):: self
+      CLASS(meshVol2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: source(1:)
       REAL(8), ALLOCATABLE:: localF(:)
       REAL(8):: fPsi(1:3)
@@ -938,7 +922,7 @@ MODULE moduleMeshCyl
       USE moduleSpecies
       IMPLICIT NONE
 
-      CLASS(meshVolCylTria), INTENT(in):: self
+      CLASS(meshVol2DCylTria), INTENT(in):: self
       CLASS(particle), INTENT(in):: part
       TYPE(outputNode), POINTER:: vertex
       REAL(8):: w_p(1:3)
@@ -968,7 +952,7 @@ MODULE moduleMeshCyl
     PURE FUNCTION gatherEFTria(self,xi) RESULT(EF)
       IMPLICIT NONE
 
-      CLASS(meshVolCylTria), INTENT(in):: self
+      CLASS(meshVol2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
       REAL(8):: dPsi(1:2,1:3)
       REAL(8):: dPsiR(1:2,1:3)!Derivative of shpae functions in global coordinates
@@ -995,7 +979,7 @@ MODULE moduleMeshCyl
     PURE FUNCTION getNodesTria(self) RESULT(n)
       IMPLICIT NONE
 
-      CLASS(meshVolCylTria), INTENT(in):: self
+      CLASS(meshVol2DCylTria), INTENT(in):: self
       INTEGER, ALLOCATABLE:: n(:)
 
       ALLOCATE(n(1:3))
@@ -1007,7 +991,7 @@ MODULE moduleMeshCyl
     PURE FUNCTION phy2logTria(self,r) RESULT(xi)
       IMPLICIT NONE
 
-      CLASS(meshVolCylTria), INTENT(in):: self
+      CLASS(meshVol2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: xi(1:3)
       REAL(8):: invJ(1:2,1:2), detJ
@@ -1027,7 +1011,7 @@ MODULE moduleMeshCyl
     SUBROUTINE nextElementTria(self, xi, nextElement)
       IMPLICIT NONE
 
-      CLASS(meshVolCylTria), INTENT(in):: self
+      CLASS(meshVol2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
       CLASS(*), POINTER, INTENT(out):: nextElement
       REAL(8):: xiArray(1:3)
@@ -1049,10 +1033,10 @@ MODULE moduleMeshCyl
 
     !COMMON FUNCTIONS FOR CYLINDRICAL VOLUME ELEMENTS
     !Computes element Jacobian determinant
-    PURE FUNCTION detJCyl(self, xi, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ2DCyl(self, xi, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
-      CLASS(meshVolCyl), INTENT(in):: self
+      CLASS(meshVol2DCyl), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
       REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
@@ -1070,13 +1054,13 @@ MODULE moduleMeshCyl
       CALL self%partialDer(dPsi, dz, dr)
       dJ = dz(1)*dr(2)-dz(2)*dr(1)
 
-    END FUNCTION detJCyl
+    END FUNCTION detJ2DCyl
 
     !Computes element Jacobian inverse matrix (without determinant)
-    PURE FUNCTION invJCyl(self,xi,dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ2DCyl(self,xi,dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
-      CLASS(meshVolCyl), INTENT(in):: self
+      CLASS(meshVol2DCyl), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
       REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
@@ -1095,6 +1079,6 @@ MODULE moduleMeshCyl
       invJ(1,:) = (/  dr(2), -dz(2) /)
       invJ(2,:) = (/ -dr(1),  dz(1) /)
 
-    END FUNCTION invJCyl
+    END FUNCTION invJ2DCyl
 
-END MODULE moduleMeshCyl
+END MODULE moduleMesh2DCyl
diff --git a/src/modules/mesh/2DCyl/moduleMeshCylBoundary.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCylBoundary.f90
similarity index 94%
rename from src/modules/mesh/2DCyl/moduleMeshCylBoundary.f90
rename to src/modules/mesh/2DCyl/moduleMesh2DCylBoundary.f90
index 5410007..7a1c581 100644
--- a/src/modules/mesh/2DCyl/moduleMeshCylBoundary.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCylBoundary.f90
@@ -1,6 +1,6 @@
-!moduleMeshCylBoundary: Boundary functions for cylindrical coordinates
-SUBMODULE (moduleMeshCyl) moduleMeshCylBoundary
-  USE moduleMeshCyl
+!moduleMesh2DCylBoundary: Boundary functions for cylindrical coordinates
+SUBMODULE (moduleMesh2DCyl) moduleMesh2DCylBoundary
+  USE moduleMesh2DCyl
 
   CONTAINS
     SUBROUTINE reflection(edge, part)
@@ -13,7 +13,7 @@ SUBMODULE (moduleMeshCyl) moduleMeshCylBoundary
 
       !TODO: Try to do this without select
       SELECT TYPE(edge)
-      TYPE IS(meshEdgeCyl)
+      TYPE IS(meshEdge2DCyl)
         edgeNorm = DSQRT((edge%r(2)-edge%r(1))**2 + (edge%z(2)-edge%z(1))**2)
         cosT = (edge%z(2)-edge%z(1))/edgeNorm
         sinT = DSQRT(1-cosT**2)
@@ -53,7 +53,7 @@ SUBMODULE (moduleMeshCyl) moduleMeshCylBoundary
       REAL(8):: d !Distance from particle to edge
 
       SELECT TYPE(edge)
-      TYPE IS(meshEdgeCyl)
+      TYPE IS(meshEdge2DCyl)
         a = (edge%z(1) - edge%z(2))
         b = (edge%r(1) - edge%r(2))
         c =  edge%z(1)*edge%r(2) - edge%z(2)*edge%r(1)
@@ -124,7 +124,7 @@ SUBMODULE (moduleMeshCyl) moduleMeshCylBoundary
 
       !Reflects particle in the edge
       SELECT TYPE(edge)
-      TYPE IS(meshEdgeCyl)
+      TYPE IS(meshEdge2DCyl)
         edgeNorm = DSQRT((edge%r(2)-edge%r(1))**2 + (edge%z(2)-edge%z(1))**2)
         cosT = (edge%z(2)-edge%z(1))/edgeNorm
         sinT = DSQRT(1-cosT**2)
@@ -161,4 +161,4 @@ SUBMODULE (moduleMeshCyl) moduleMeshCylBoundary
 
     END SUBROUTINE symmetryAxis
 
-END SUBMODULE moduleMeshCylBoundary
+END SUBMODULE moduleMesh2DCylBoundary
diff --git a/src/modules/mesh/2DCyl/moduleMeshCylRead.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90
similarity index 88%
rename from src/modules/mesh/2DCyl/moduleMeshCylRead.f90
rename to src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90
index a3ee6db..085c3c3 100644
--- a/src/modules/mesh/2DCyl/moduleMeshCylRead.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90
@@ -1,11 +1,11 @@
-MODULE moduleMeshCylRead
+MODULE moduleMesh2DCylRead
   USE moduleMesh
-  USE moduleMeshCyl
+  USE moduleMesh2DCyl
 
-  TYPE, EXTENDS(meshGeneric):: meshCylGeneric
+  TYPE, EXTENDS(meshGeneric):: mesh2DCylGeneric
     CONTAINS
-      PROCEDURE, PASS:: init     => initCylMesh
-      PROCEDURE, PASS:: readMesh => readMeshCylGmsh
+      PROCEDURE, PASS:: init     => init2DCylMesh
+      PROCEDURE, PASS:: readMesh => readMesh2DCylGmsh
 
   END TYPE
 
@@ -16,12 +16,12 @@ MODULE moduleMeshCylRead
 
   CONTAINS
     !Init mesh
-    SUBROUTINE initCylMesh(self, meshFormat)
+    SUBROUTINE init2DCylMesh(self, meshFormat)
       USE moduleMesh
       USE moduleErrors
       IMPLICIT NONE
 
-      CLASS(meshCylGeneric), INTENT(out):: self
+      CLASS(mesh2DCylGeneric), INTENT(out):: self
       CHARACTER(:), ALLOCATABLE, INTENT(in):: meshFormat
 
       SELECT CASE(meshFormat)
@@ -31,18 +31,18 @@ MODULE moduleMeshCylRead
         self%printEM     => printEMGmsh
 
       CASE DEFAULT
-        CALL criticalError("Mesh type " // meshFormat // " not supported.", "initCylMesh")
+        CALL criticalError("Mesh type " // meshFormat // " not supported.", "init2DCylMesh")
         
       END SELECT
 
-    END SUBROUTINE initCylMesh
+    END SUBROUTINE init2DCylMesh
 
     !Read mesh from gmsh file
-    SUBROUTINE readMeshCylGmsh(self, filename)
+    SUBROUTINE readMesh2DCylGmsh(self, filename)
       USE moduleBoundary
       IMPLICIT NONE
 
-      CLASS(meshCylGeneric), INTENT(inout):: self
+      CLASS(mesh2DCylGeneric), INTENT(inout):: self
       CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
       REAL(8):: r, z
       INTEGER:: p(1:4)
@@ -68,8 +68,8 @@ MODULE moduleMeshCylRead
       !Read nodes cartesian coordinates (x=z, y=r, z=null)
       DO e=1, self%numNodes
         READ(10, *) n, z, r
-        ALLOCATE(meshNodeCyl:: self%nodes(n)%obj)
-        CALL self%nodes(n)%obj%init(n, (/r, z, 0.D0 /))
+        ALLOCATE(meshNode2DCyl:: self%nodes(n)%obj)
+        CALL self%nodes(n)%obj%init(n, (/z, r, 0.D0 /))
 
       END DO
       !Skips comments
@@ -103,7 +103,7 @@ MODULE moduleMeshCylRead
         !Associate boundary condition procedure.
         bt = getBoundaryId(boundaryType)
 
-        ALLOCATE(meshEdgeCyl:: self%edges(e)%obj)
+        ALLOCATE(meshEdge2DCyl:: self%edges(e)%obj)
 
         CALL self%edges(e)%obj%init(n, p(1:2), bt, boundaryType)
 
@@ -118,13 +118,13 @@ MODULE moduleMeshCylRead
         CASE (2)
           !Triangular element
           READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:3)
-          ALLOCATE(meshVolCylTria:: self%vols(e)%obj)
+          ALLOCATE(meshVol2DCylTria:: self%vols(e)%obj)
           CALL self%vols(e)%obj%init(n - self%numEdges, p(1:3))
 
         CASE (3)
           !Quadrilateral element
           READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:4)
-          ALLOCATE(meshVolCylQuad:: self%vols(e)%obj)
+          ALLOCATE(meshVol2DCylQuad:: self%vols(e)%obj)
           CALL self%vols(e)%obj%init(n - self%numEdges, p(1:4))
 
         END SELECT
@@ -154,7 +154,7 @@ MODULE moduleMeshCylRead
 
       END DO
 
-    END SUBROUTINE readMeshCylGmsh
+    END SUBROUTINE readMesh2DCylGmsh
 
     !Selects type of elements to build connection
     SUBROUTINE connectedVolVol(elemA, elemB)
@@ -164,27 +164,27 @@ MODULE moduleMeshCylRead
       CLASS(meshVol), INTENT(inout):: elemB
 
       SELECT TYPE(elemA)
-      TYPE IS(meshVolCylQuad)
+      TYPE IS(meshVol2DCylQuad)
         !Element A is a quadrilateral
         SELECT TYPE(elemB)
-        TYPE IS(meshVolCylQuad)
+        TYPE IS(meshVol2DCylQuad)
           !Element B is a quadrilateral
           CALL connectedQuadQuad(elemA, elemB)
 
-        TYPE IS(meshVolCylTria)
+        TYPE IS(meshVol2DCylTria)
           !Element B is a triangle
           CALL connectedQuadTria(elemA, elemB)
 
         END SELECT
 
-      TYPE IS(meshVolCylTria)
+      TYPE IS(meshVol2DCylTria)
         !Element A is a Triangle
         SELECT TYPE(elemB)
-        TYPE IS(meshVolCylQuad)
+        TYPE IS(meshVol2DCylQuad)
           !Element B is a quadrilateral
           CALL connectedQuadTria(elemB, elemA)
 
-        TYPE IS(meshVolCylTria)
+        TYPE IS(meshVol2DCylTria)
           !Element B is a triangle
           CALL connectedTriaTria(elemA, elemB)
 
@@ -201,13 +201,13 @@ MODULE moduleMeshCylRead
       CLASS(meshEdge), INTENT(inout):: elemB
 
       SELECT TYPE(elemB)
-      CLASS IS(meshEdgeCyl)
+      CLASS IS(meshEdge2DCyl)
         SELECT TYPE(elemA)
-        TYPE IS(meshVolCylQuad)
+        TYPE IS(meshVol2DCylQuad)
           !Element A is a quadrilateral
           CALL connectedQuadEdge(elemA, elemB)
 
-        TYPE IS(meshVolCylTria)
+        TYPE IS(meshVol2DCylTria)
           !Element A is a triangle
           CALL connectedTriaEdge(elemA, elemB)
 
@@ -220,8 +220,8 @@ MODULE moduleMeshCylRead
     SUBROUTINE connectedQuadQuad(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVolCylQuad), INTENT(inout), TARGET:: elemA
-      CLASS(meshVolCylQuad), INTENT(inout), TARGET:: elemB
+      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemB
 
       !Check direction 1
       IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
@@ -264,8 +264,8 @@ MODULE moduleMeshCylRead
     SUBROUTINE connectedQuadTria(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVolCylQuad), INTENT(inout), TARGET:: elemA
-      CLASS(meshVolCylTria), INTENT(inout), TARGET:: elemB
+      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemB
 
       !Check direction 1
       IF (.NOT. ASSOCIATED(elemA%e1)) THEN
@@ -356,8 +356,8 @@ MODULE moduleMeshCylRead
     SUBROUTINE connectedTriaTria(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVolCylTria), INTENT(inout), TARGET:: elemA
-      CLASS(meshVolCylTria), INTENT(inout), TARGET:: elemB
+      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemB
 
       !Check direction 1
       IF (.NOT. ASSOCIATED(elemA%e1)) THEN
@@ -429,8 +429,8 @@ MODULE moduleMeshCylRead
     SUBROUTINE connectedQuadEdge(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVolCylQuad), INTENT(inout), TARGET:: elemA
-      CLASS(meshEdgeCyl),    INTENT(inout), TARGET:: elemB
+      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshEdge2DCyl),    INTENT(inout), TARGET:: elemB
 
       !Check direction 1
       IF (.NOT. ASSOCIATED(elemA%e1)) THEN
@@ -501,8 +501,8 @@ MODULE moduleMeshCylRead
     SUBROUTINE connectedTriaEdge(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVolCylTria), INTENT(inout), TARGET:: elemA
-      CLASS(meshEdgeCyl),    INTENT(inout), TARGET:: elemB
+      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemA
+      CLASS(meshEdge2DCyl),    INTENT(inout), TARGET:: elemB
 
       !Check direction 1
       IF (.NOT. ASSOCIATED(elemA%e1)) THEN
@@ -564,7 +564,7 @@ MODULE moduleMeshCylRead
       INTEGER, ALLOCATABLE:: n(:)
 
       SELECT TYPE(elem)
-      TYPE IS(meshVolCylQuad)
+      TYPE IS(meshVol2DCylQuad)
         nNodes = 4
         ALLOCATE(localK(1:nNodes,1:nNodes))
         localK = elem%elemK()
@@ -572,7 +572,7 @@ MODULE moduleMeshCylRead
         n = (/ elem%n1%n, elem%n2%n, &
                elem%n3%n, elem%n4%n /)
 
-      TYPE IS(meshVolCylTria)
+      TYPE IS(meshVol2DCylTria)
         nNodes = 3
         ALLOCATE(localK(1:nNodes,1:nNodes))
         localK = elem%elemK()
@@ -596,4 +596,4 @@ MODULE moduleMeshCylRead
 
     END SUBROUTINE constructGlobalK
 
-END MODULE moduleMeshCylRead
+END MODULE moduleMesh2DCylRead
diff --git a/src/modules/mesh/makefile b/src/modules/mesh/makefile
index 741a43e..0eeaa23 100644
--- a/src/modules/mesh/makefile
+++ b/src/modules/mesh/makefile
@@ -1,8 +1,11 @@
-all: moduleMesh.o 2DCyl.o 1DRad.o 1DCart.o
+all: moduleMesh.o 2DCyl.o 2DCart.o 1DRad.o 1DCart.o
 
 2DCyl.o:
 	$(MAKE) -C 2DCyl all
 
+2DCart.o:
+	$(MAKE) -C 2DCart all
+
 1DCart.o:
 	$(MAKE) -C 1DCart all
 
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 2a6e334..a96bbc5 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -365,7 +365,6 @@ MODULE moduleInput
 
       !Gets the basename of the folder
       CALL config%get(object // '.folder', baseName, found)
-      PRINT *, baseName
       IF (found) THEN
         folder = baseName
 
@@ -654,7 +653,8 @@ MODULE moduleInput
     !Read the geometry (mesh) for the case
     SUBROUTINE readGeometry(config)
       USE moduleMesh
-      USE moduleMeshCylRead,    ONLY: meshCylGeneric
+      USE moduleMesh2DCylRead,  ONLY: mesh2DCylGeneric
+      USE moduleMesh2DCartRead, ONLY: mesh2DCartGeneric
       USE moduleMesh1DCartRead, ONLY: mesh1DCartGeneric
       USE moduleMesh1DRadRead,  ONLY: mesh1DRadGeneric
       USE moduleErrors
@@ -672,7 +672,11 @@ MODULE moduleInput
       SELECT CASE(geometryType)
       CASE ("2DCyl")
         !Creates a 2D cylindrical mesh
-        ALLOCATE(meshCylGeneric:: mesh)
+        ALLOCATE(mesh2DCylGeneric:: mesh)
+
+      CASE ("2DCart")
+        !Creates a 2D cylindrical mesh
+        ALLOCATE(mesh2DCartGeneric:: mesh)
 
       CASE ("1DCart")
         !Creates a 1D cartesian mesh
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index dfd5d4a..4b0124e 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -67,15 +67,31 @@ MODULE moduleSolver
       REAL(8):: tau, tauSp
 
       SELECT CASE(pusherType)
+      !2D Cylindrical
       CASE('2DCylNeutral')
-        self%pushParticle => pushCylNeutral
+        self%pushParticle => push2DCylNeutral
 
       CASE('2DCylCharged')
-        self%pushParticle => pushCylCharged
+        self%pushParticle => push2DCylCharged
+
+      !2D Cartesian
+      CASE('2DCartNeutral')
+        self%pushParticle => push2DCartNeutral
+
+      CASE('2DCartCharged')
+        self%pushParticle => push2DCartCharged
+
+      !1D Cartesian
+      CASE('1DCartNeutral')
+        self%pushParticle => push1DCartNeutral
 
       CASE('1DCartCharged')
         self%pushParticle => push1DCartCharged
 
+      !1D Radial
+      CASE('1DRadNeutral')
+        self%pushParticle => push1DRadNeutral
+
       CASE('1DRadCharged')
         self%pushParticle => push1DRadCharged
 
@@ -147,7 +163,7 @@ MODULE moduleSolver
     END SUBROUTINE doPushes
 
     !Push one particle. Boris pusher for 2D Cyl Neutral particle
-    PURE SUBROUTINE pushCylNeutral(part, tauIn)
+    PURE SUBROUTINE push2DCylNeutral(part, tauIn)
       USE moduleSpecies
       IMPLICIT NONE
 
@@ -181,10 +197,10 @@ MODULE moduleSolver
       !Copy temporal particle to particle
       part=part_temp
 
-    END SUBROUTINE pushCylNeutral
+    END SUBROUTINE push2DCylNeutral
 
     !Push one particle. Boris pusher for 2D Cyl Charged particle
-    PURE SUBROUTINE pushCylCharged(part, tauIn)
+    PURE SUBROUTINE push2DCylCharged(part, tauIn)
       USE moduleSpecies
       USE moduleEM
       IMPLICIT NONE
@@ -222,7 +238,83 @@ MODULE moduleSolver
       !Copy temporal particle to particle
       part=part_temp
 
-    END SUBROUTINE pushCylCharged
+    END SUBROUTINE push2DCylCharged
+
+    !Push neutral particles in 2D cartesian coordinates
+    PURE SUBROUTINE push2DCartNeutral(part, tauIn)
+      USE moduleSPecies
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+      TYPE(particle):: part_temp
+
+      part_temp = part
+
+      !x
+      part_temp%v(1) = part%v(1)
+      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
+
+      !y
+      part_temp%v(2) = part%v(2)
+      part_temp%r(2) = part%r(2) + part_temp%v(2)*tauIn
+
+      part_temp%n_in = .FALSE.
+
+      part = part_temp
+
+    END SUBROUTINE push2DCartNeutral
+
+    !Push charged particles in 2D cartesian coordinates
+    PURE SUBROUTINE push2DCartCharged(part, tauIn)
+      USE moduleSPecies
+      USE moduleEM
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+      TYPE(particle):: part_temp
+      REAL(8):: qmEFt(1:3)
+
+      part_temp = part
+      !Get the electric field at particle position
+      qmEFt = part_temp%qm*gatherElecField(part_temp)*tauIn
+
+      !x
+      part_temp%v(1) = part%v(1) + qmEFt(1)
+      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
+
+      !y
+      part_temp%v(2) = part%v(2) + qmEFt(2)
+      part_temp%r(2) = part%r(2) + part_temp%v(2)*tauIn
+
+      part_temp%n_in = .FALSE.
+
+      part = part_temp
+
+    END SUBROUTINE push2DCartCharged
+
+    !Push neutral particles in 1D cartesian coordinates
+    PURE SUBROUTINE push1DCartNeutral(part, tauIn)
+      USE moduleSPecies
+      USE moduleEM
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+      TYPE(particle):: part_temp
+
+      part_temp = part
+
+      !x
+      part_temp%v(1) = part%v(1)
+      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
+
+      part_temp%n_in = .FALSE.
+
+      part = part_temp
+
+    END SUBROUTINE push1DCartNeutral
 
     !Push charged particles in 1D cartesian coordinates
     PURE SUBROUTINE push1DCartCharged(part, tauIn)
@@ -249,6 +341,41 @@ MODULE moduleSolver
 
     END SUBROUTINE push1DCartCharged
 
+    !Push one particle. Boris pusher for 1D Radial Neutral particle
+    PURE SUBROUTINE push1DRadNeutral(part, tauIn)
+      USE moduleSpecies
+      USE moduleEM
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+      REAL(8):: v_p_oh_star(1:2)
+      TYPE(particle):: part_temp
+      REAL(8):: x_new, y_new, r, sin_alpha, cos_alpha
+
+      part_temp = part
+      !r,theta
+      v_p_oh_star(1) = part%v(1)
+      x_new = part%r(1) + v_p_oh_star(1)*tauIn
+      v_p_oh_star(2) = part%v(2)
+      y_new =             v_p_oh_star(2)*tauIn
+      r = DSQRT(x_new**2+y_new**2)
+      part_temp%r(1) = r
+      IF (r > 0.D0) THEN
+        sin_alpha = y_new/r
+        cos_alpha = x_new/r
+      ELSE
+        sin_alpha = 0.D0
+        cos_alpha = 1.D0
+      END IF
+      part_temp%v(1) =  cos_alpha*v_p_oh_star(1)+sin_alpha*v_p_oh_star(2)
+      part_temp%v(2) = -sin_alpha*v_p_oh_star(1)+cos_alpha*v_p_oh_star(2)
+      part_temp%n_in = .FALSE. !Assume particle is outside until cell is found
+      !Copy temporal particle to particle
+      part=part_temp
+
+    END SUBROUTINE push1DRadNeutral
+
     !Push one particle. Boris pusher for 1D Radial Charged particle
     PURE SUBROUTINE push1DRadCharged(part, tauIn)
       USE moduleSpecies
@@ -263,7 +390,6 @@ MODULE moduleSolver
       REAL(8):: qmEFt(1:3)!charge*tauIn*EF/mass
 
       part_temp = part
-      !Time step for the species
       !Get electric field at particle position
       qmEFt = part_temp%qm*gatherElecField(part_temp)*tauMin
       !r,theta

From 2eae95002dd74cff573cf27e2f49b8b07ac908cb Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sat, 23 Jan 2021 10:58:39 +0100
Subject: [PATCH 004/203] Small modifications to 1D input files to make them
 start from a small x/r position to avoid huge fields in Radial case when r ->
 0 due to charge accumulation.

Added a Gnuplot script to plot both potential profiles extracted from
Gmsh.
---
 runs/1D_Cathode/curve_potential.gp |    22 +
 runs/1D_Cathode/inputCart.json     |     4 +-
 runs/1D_Cathode/inputRad.json      |     4 +-
 runs/1D_Cathode/mesh.msh           | 39808 ++++++++++++++++++++-------
 src/modules/moduleInput.f90        |     6 +-
 5 files changed, 29833 insertions(+), 10011 deletions(-)
 create mode 100644 runs/1D_Cathode/curve_potential.gp

diff --git a/runs/1D_Cathode/curve_potential.gp b/runs/1D_Cathode/curve_potential.gp
new file mode 100644
index 0000000..9db840c
--- /dev/null
+++ b/runs/1D_Cathode/curve_potential.gp
@@ -0,0 +1,22 @@
+#Export the potential curves from Gmsh into a txt file.
+reset
+set terminal qt persist enhanced 1 size 600, 400
+
+set style line 1 pt 1 lc rgb "red"
+set style line 2 pt 2 lc rgb "blue"
+set style line 3 pt 4 lc rgb "#006400"
+set style line 4 pt 6 lc rgb "orange"
+set style line 5 pt 8 lc rgb "black"
+set style line 6 pt 10 lc rgb "#ADD8E6"
+
+set xlabel "x/r (mm)"
+
+set autoscale y
+set ylabel "Potential (V)"
+
+set key box at 90,-10
+
+set title "Effect of geometry"
+
+plot "Cartesian.dat" u ($5*1e3):($8) every 100 ls 1 t "Cartesian", \
+     "Radial.dat"    u ($5*1e3):($8) every 100 ls 2 t "Radial"
diff --git a/runs/1D_Cathode/inputCart.json b/runs/1D_Cathode/inputCart.json
index 5d04eb2..a3ad40f 100644
--- a/runs/1D_Cathode/inputCart.json
+++ b/runs/1D_Cathode/inputCart.json
@@ -34,12 +34,12 @@
     {"name": "Infinite", "type": "dirichlet", "potential":    0.0, "physicalSurface": 2}
   ],
   "inject": [
-    {"name": "Cathode Electron", "species": "Electron", "flow":  9.0e-5, "units": "A", "v": 27500.0, "T": [2500.0, 2500.0, 2500.0],
+    {"name": "Cathode Electron", "species": "Electron", "flow":  1.0e-3, "units": "A", "v": 27500.0, "T": [2500.0, 2500.0, 2500.0],
                                  "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [ 1, 0, 0], "physicalSurface": 1}
   ],
   "case": {
     "tau":  [1.0e-11],
-    "time": 1.0e-6,
+    "time": 1.0e-7,
     "pusher": ["1DCartCharged"],
     "EMSolver": "Electrostatic"
   },
diff --git a/runs/1D_Cathode/inputRad.json b/runs/1D_Cathode/inputRad.json
index 32518e5..d64c58c 100644
--- a/runs/1D_Cathode/inputRad.json
+++ b/runs/1D_Cathode/inputRad.json
@@ -34,12 +34,12 @@
     {"name": "Infinite", "type": "dirichlet", "potential":    0.0, "physicalSurface": 2}
   ],
   "inject": [
-    {"name": "Cathode Electron", "species": "Electron", "flow":  9.0e-5, "units": "A", "v": 27500.0, "T": [2500.0, 2500.0, 2500.0],
+    {"name": "Cathode Electron", "species": "Electron", "flow":  1.0e-3, "units": "A", "v": 27500.0, "T": [2500.0, 2500.0, 2500.0],
                                  "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [ 1, 0, 0], "physicalSurface": 1}
   ],
   "case": {
     "tau":  [1.0e-11],
-    "time": 1.0e-6,
+    "time": 1.0e-7,
     "pusher": ["1DRadCharged"],
     "EMSolver": "Electrostatic"
   },
diff --git a/runs/1D_Cathode/mesh.msh b/runs/1D_Cathode/mesh.msh
index 378db88..9b99262 100644
--- a/runs/1D_Cathode/mesh.msh
+++ b/runs/1D_Cathode/mesh.msh
@@ -2,10011 +2,19911 @@ $MeshFormat
 2.2 0 8
 $EndMeshFormat
 $Nodes
-10001
-1 0 0 0
-2 0.1 0 0
-3 9.999999999981703e-06 0 0
-4 1.999999999996341e-05 0 0
-5 2.999999999994511e-05 0 0
-6 3.999999999992681e-05 0 0
-7 4.999999999990852e-05 0 0
-8 5.999999999989021e-05 0 0
-9 6.999999999987192e-05 0 0
-10 7.999999999985363e-05 0 0
-11 8.999999999983533e-05 0 0
-12 9.999999999981703e-05 0 0
-13 0.0001099999999997987 0 0
-14 0.0001199999999997804 0 0
-15 0.0001299999999997621 0 0
-16 0.0001399999999997438 0 0
-17 0.0001499999999997255 0 0
-18 0.0001599999999997073 0 0
-19 0.000169999999999689 0 0
-20 0.0001799999999996707 0 0
-21 0.0001899999999996524 0 0
-22 0.0001999999999996341 0 0
-23 0.0002099999999996158 0 0
-24 0.0002199999999995975 0 0
-25 0.0002299999999995792 0 0
-26 0.0002399999999995608 0 0
-27 0.0002499999999995426 0 0
-28 0.0002599999999995243 0 0
-29 0.000269999999999506 0 0
-30 0.0002799999999994877 0 0
-31 0.0002899999999994694 0 0
-32 0.0002999999999994511 0 0
-33 0.0003099999999994329 0 0
-34 0.0003199999999994145 0 0
-35 0.0003299999999993962 0 0
-36 0.0003399999999993779 0 0
-37 0.0003499999999993596 0 0
-38 0.0003599999999993413 0 0
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+19831 1 2 1 1 19830 19831
+19832 1 2 1 1 19831 19832
+19833 1 2 1 1 19832 19833
+19834 1 2 1 1 19833 19834
+19835 1 2 1 1 19834 19835
+19836 1 2 1 1 19835 19836
+19837 1 2 1 1 19836 19837
+19838 1 2 1 1 19837 19838
+19839 1 2 1 1 19838 19839
+19840 1 2 1 1 19839 19840
+19841 1 2 1 1 19840 19841
+19842 1 2 1 1 19841 19842
+19843 1 2 1 1 19842 19843
+19844 1 2 1 1 19843 19844
+19845 1 2 1 1 19844 19845
+19846 1 2 1 1 19845 19846
+19847 1 2 1 1 19846 19847
+19848 1 2 1 1 19847 19848
+19849 1 2 1 1 19848 19849
+19850 1 2 1 1 19849 19850
+19851 1 2 1 1 19850 19851
+19852 1 2 1 1 19851 19852
+19853 1 2 1 1 19852 19853
+19854 1 2 1 1 19853 19854
+19855 1 2 1 1 19854 19855
+19856 1 2 1 1 19855 19856
+19857 1 2 1 1 19856 19857
+19858 1 2 1 1 19857 19858
+19859 1 2 1 1 19858 19859
+19860 1 2 1 1 19859 19860
+19861 1 2 1 1 19860 19861
+19862 1 2 1 1 19861 19862
+19863 1 2 1 1 19862 19863
+19864 1 2 1 1 19863 19864
+19865 1 2 1 1 19864 19865
+19866 1 2 1 1 19865 19866
+19867 1 2 1 1 19866 19867
+19868 1 2 1 1 19867 19868
+19869 1 2 1 1 19868 19869
+19870 1 2 1 1 19869 19870
+19871 1 2 1 1 19870 19871
+19872 1 2 1 1 19871 19872
+19873 1 2 1 1 19872 19873
+19874 1 2 1 1 19873 19874
+19875 1 2 1 1 19874 19875
+19876 1 2 1 1 19875 19876
+19877 1 2 1 1 19876 19877
+19878 1 2 1 1 19877 19878
+19879 1 2 1 1 19878 19879
+19880 1 2 1 1 19879 19880
+19881 1 2 1 1 19880 19881
+19882 1 2 1 1 19881 19882
+19883 1 2 1 1 19882 19883
+19884 1 2 1 1 19883 19884
+19885 1 2 1 1 19884 19885
+19886 1 2 1 1 19885 19886
+19887 1 2 1 1 19886 19887
+19888 1 2 1 1 19887 19888
+19889 1 2 1 1 19888 19889
+19890 1 2 1 1 19889 19890
+19891 1 2 1 1 19890 19891
+19892 1 2 1 1 19891 19892
+19893 1 2 1 1 19892 19893
+19894 1 2 1 1 19893 19894
+19895 1 2 1 1 19894 19895
+19896 1 2 1 1 19895 19896
+19897 1 2 1 1 19896 19897
+19898 1 2 1 1 19897 19898
+19899 1 2 1 1 19898 19899
+19900 1 2 1 1 19899 19900
+19901 1 2 1 1 19900 19901
+19902 1 2 1 1 19901 2
 $EndElements
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index a96bbc5..13d43e3 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -366,13 +366,13 @@ MODULE moduleInput
       !Gets the basename of the folder
       CALL config%get(object // '.folder', baseName, found)
       IF (found) THEN
-        folder = baseName
+        folder = baseName // '_'
 
       END IF
 
       !Compose the folder name
-      folder = folder // '_' // date_now(1:4) // '-' // date_now(5:6) // '-' // date_now(7:8) // '_' &
-                             // time_now(1:2) // '.' // time_now(3:4) // '.' // time_now(5:6)
+      folder = folder // date_now(1:4) // '-' // date_now(5:6) // '-' // date_now(7:8) // '_' &
+                      // time_now(1:2) // '.' // time_now(3:4) // '.' // time_now(5:6)
       
       !Creates the folder
       CALL EXECUTE_COMMAND_LINE('mkdir ' // path // folder )

From 20bc1abc2910d67deef10fda0c3a7abdf82cf7a3 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Wed, 27 Jan 2021 09:59:37 +0100
Subject: [PATCH 005/203] Fixed an issue in which the logical coordinates of
 the particle (xi)   were not being initialized and was causing particles to
 get stuck in   the iteration loop.

---
 runs/ALPHIE_Grid/inputDiffTau.json            |  7 +--
 runs/ALPHIE_Grid/inputSameTau.json            |  9 ++--
 runs/Argon_Expansion/CX_case.json             |  2 +-
 .../{base_case.json => elastic_case.json}     |  2 +-
 src/modules/mesh/2DCart/moduleMesh2DCart.f90  |  7 ++-
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    | 45 ++++++++++---------
 src/modules/mesh/moduleMesh.f90               |  5 ++-
 src/modules/moduleInject.f90                  |  2 +
 8 files changed, 42 insertions(+), 37 deletions(-)
 rename runs/Argon_Expansion/{base_case.json => elastic_case.json} (96%)

diff --git a/runs/ALPHIE_Grid/inputDiffTau.json b/runs/ALPHIE_Grid/inputDiffTau.json
index 1ce7035..372b99a 100644
--- a/runs/ALPHIE_Grid/inputDiffTau.json
+++ b/runs/ALPHIE_Grid/inputDiffTau.json
@@ -58,17 +58,18 @@
   "reference": {
     "density": 1.0e16,
     "mass": 9.109e-31,
-    "temperature": 2500.0
+    "temperature": 2500.0,
+    "radius": 1.88e-10
   },
   "case": {
     "tau":  [1.0e-9, 1.0e-11],
-    "time": 2.0e-6,
+    "time": 1.0e-6,
     "pusher": ["2DCylCharged", "2DCylCharged"],
     "EMSolver": "Electrostatic"
   },
   "parallel": {
     "OpenMP":{
-      "nThreads": 8
+      "nThreads": 24
     }
   }
 }
diff --git a/runs/ALPHIE_Grid/inputSameTau.json b/runs/ALPHIE_Grid/inputSameTau.json
index 74e920a..f62dbf6 100644
--- a/runs/ALPHIE_Grid/inputSameTau.json
+++ b/runs/ALPHIE_Grid/inputSameTau.json
@@ -14,8 +14,8 @@
     "meshFile": "mesh.msh"
   },
   "species": [
-    {"name": "Argon+",   "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e1},
-    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e1}
+    {"name": "Argon+",   "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e2},
+    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e2}
   ],
   "boundary": [ 
     {"name": "Ionization Chanber", "physicalSurface": 1, "bTypes": [
@@ -58,7 +58,8 @@
   "reference": {
     "density": 1.0e16,
     "mass": 9.109e-31,
-    "temperature": 2500.0
+    "temperature": 2500.0,
+    "radius": 1.88e-10
   },
   "case": {
     "tau":  [1.0e-11, 1.0e-11],
@@ -68,7 +69,7 @@
   },
   "parallel": {
     "OpenMP":{
-      "nThreads": 8
+      "nThreads": 4
     }
   }
 }
diff --git a/runs/Argon_Expansion/CX_case.json b/runs/Argon_Expansion/CX_case.json
index d2d89db..21adc6a 100644
--- a/runs/Argon_Expansion/CX_case.json
+++ b/runs/Argon_Expansion/CX_case.json
@@ -3,7 +3,7 @@
     "path": "./runs/Argon_Expansion/",
 	"triggerOutput": 10,
 	"cpuTime": false,
-	"numColl": true,
+	"numColl": false,
 	"folder": "CX_case"
   },
   "geometry": {
diff --git a/runs/Argon_Expansion/base_case.json b/runs/Argon_Expansion/elastic_case.json
similarity index 96%
rename from runs/Argon_Expansion/base_case.json
rename to runs/Argon_Expansion/elastic_case.json
index 8cc7238..0a10d86 100644
--- a/runs/Argon_Expansion/base_case.json
+++ b/runs/Argon_Expansion/elastic_case.json
@@ -4,7 +4,7 @@
 	"triggerOutput": 10,
 	"cpuTime": false,
 	"numColl": false,
-	"folder": "base_case"
+	"folder": "Elastic_case"
   },
   "geometry": {
     "type":     "2DCyl",
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 8718804..ca32dc0 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -1,7 +1,7 @@
 !moduleMesh2DCart: 2D Cartesian coordinate system
-!               x == x
-!               y == y
-!               z == unused
+!                  x == x
+!                  y == y
+!                  z == unused
 MODULE moduleMesh2DCart
   USE moduleMesh
   IMPLICIT NONE
@@ -117,7 +117,6 @@ MODULE moduleMesh2DCart
     !Connectivity to adjacent elements
     CLASS(*), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
     REAL(8):: arNodes(1:4) = 0.D0
-
     CONTAINS
       PROCEDURE, PASS::   init        => initVolQuad2DCart
       PROCEDURE, PASS::   randPos     => randPosVolQuad
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index da1b620..1376160 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -274,28 +274,6 @@ MODULE moduleMesh2DCyl
 
     END SUBROUTINE initEdge2DCyl
 
-    !Random position in quadrilateral volume
-    FUNCTION randPosVolQuad(self) RESULT(r)
-      USE moduleRandom
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCylQuad), INTENT(in):: self
-      REAL(8):: r(1:3)
-      REAL(8):: xii(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
-
-      xii(1) = random(-1.D0, 1.D0)
-      xii(2) = random(-1.D0, 1.D0)
-      xii(3) = 0.D0
-
-      fPsi = self%fPsi(xii)
-
-      r(1) = DOT_PRODUCT(fPsi, self%z)
-      r(2) = DOT_PRODUCT(fPsi, self%r)
-      r(3) = 0.D0
-
-    END FUNCTION randposVolQuad
-
     !Get nodes from edge
     PURE FUNCTION getNodes2DCyl(self) RESULT(n)
       IMPLICIT NONE
@@ -448,6 +426,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION dPsiQuadXi2
 
+    !Partial derivative in global coordinates
     PURE SUBROUTINE partialDerQuad(self, dPsi, dz, dr)
       IMPLICIT NONE
 
@@ -462,6 +441,28 @@ MODULE moduleMesh2DCyl
 
     END SUBROUTINE partialDerQuad
 
+    !Random position in quadrilateral volume
+    FUNCTION randPosVolQuad(self) RESULT(r)
+      USE moduleRandom
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCylQuad), INTENT(in):: self
+      REAL(8):: r(1:3)
+      REAL(8):: xii(1:3)
+      REAL(8), ALLOCATABLE:: fPsi(:)
+
+      xii(1) = random(-1.D0, 1.D0)
+      xii(2) = random(-1.D0, 1.D0)
+      xii(3) = 0.D0
+
+      fPsi = self%fPsi(xii)
+
+      r(1) = DOT_PRODUCT(fPsi, self%z)
+      r(2) = DOT_PRODUCT(fPsi, self%r)
+      r(3) = 0.D0
+
+    END FUNCTION randposVolQuad
+
     !Computes element local stiffness matrix
     PURE FUNCTION elemKQuad(self) RESULT(ke)
       USE moduleConstParam, ONLY: PI2
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 3c9e7ed..5158135 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -359,8 +359,9 @@ MODULE moduleMesh
           CALL nextElement%findCell(part, self)
 
         CLASS IS (meshEdge)
-          !Particle encountered an edge, apply boundary
+          !Particle encountered a surface, apply boundary
           CALL nextElement%fBoundary(part%sp)%apply(nextElement,part)
+
           !If particle is still inside the domain, call findCell
           IF (part%n_in) THEN 
             IF(PRESENT(oldCell)) THEN
@@ -474,7 +475,7 @@ MODULE moduleMesh
         WRITE(60, "(A)") '$EndMeshFormat'
         WRITE(60, "(A)") '$NodeData'
         WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"Density' // species(i)%obj%name // ' (m^-3)"'
+        WRITE(60, "(A)") '"Density ' // species(i)%obj%name // ' (m^-3)"'
         WRITE(60, *) 1
         WRITE(60, *) time
         WRITE(60, *) 3
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index bde3aaf..9a02cb1 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -242,6 +242,8 @@ MODULE moduleInject
                           self%v(2)%obj%randomVel(), &
                           self%v(3)%obj%randomVel() /)
 
+        !Obtain natural coordinates of particle in cell
+        partInj(n)%xi = mesh%vols(partInj(n)%vol)%obj%phy2log(partInj(n)%r)
         !Push new particle with the minimum time step
         CALL solver%pusher(self%sp)%pushParticle(partInj(n), tauMin)
         !Assign cell to new particle

From 9d146b9bcc1c373d77dbcb0f43e5ee3ff43adfa6 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Wed, 27 Jan 2021 10:01:19 +0100
Subject: [PATCH 006/203] Number of threads set to 24.

---
 runs/ALPHIE_Grid/inputSameTau.json | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/runs/ALPHIE_Grid/inputSameTau.json b/runs/ALPHIE_Grid/inputSameTau.json
index f62dbf6..1745451 100644
--- a/runs/ALPHIE_Grid/inputSameTau.json
+++ b/runs/ALPHIE_Grid/inputSameTau.json
@@ -69,7 +69,7 @@
   },
   "parallel": {
     "OpenMP":{
-      "nThreads": 4
+      "nThreads": 24
     }
   }
 }

From ac2965621aad9e4568d7c0c6316b79b7ec8f23a8 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sat, 27 Feb 2021 16:24:44 +0100
Subject: [PATCH 007/203] Structure for 3D Cartesian Grid created.

Unification of boundary conditions into one file.

Some changes to input file for reference cases. This should have been
done in another branch but I wanto to commit to save progress and I
don't want to deal with tswitching branches right now, I'm very busy
watching Futurama.
---
 .gitignore                                    |     1 +
 makefile                                      |     1 +
 runs/1D_Cathode/inputRad.json                 |    19 +-
 runs/1D_Cathode/mesh.geo                      |    16 +
 runs/1D_Cathode/mesh.msh                      | 39806 +---------------
 runs/ALPHIE_Grid/inputDiffTau.json            |     3 +-
 runs/ALPHIE_Grid/inputSameTau.json            |     9 +-
 runs/ALPHIE_Grid/mesh.geo                     |    51 +-
 src/makefile                                  |    10 +-
 src/modules/mesh/1DCart/makefile              |     7 +-
 src/modules/mesh/1DCart/moduleMesh1DCart.f90  |    59 +-
 .../mesh/1DCart/moduleMesh1DCartBoundary.f90  |    91 -
 src/modules/mesh/1DRad/makefile               |     7 +-
 src/modules/mesh/1DRad/moduleMesh1DRad.f90    |    59 +-
 .../mesh/1DRad/moduleMesh1DRadBoundary.f90    |    93 -
 src/modules/mesh/2DCart/makefile              |     7 +-
 src/modules/mesh/2DCart/moduleMesh2DCart.f90  |    62 +-
 .../mesh/2DCart/moduleMesh2DCartBoundary.f90  |   154 -
 .../mesh/2DCart/moduleMesh2DCartRead.f90      |     2 +-
 src/modules/mesh/2DCyl/makefile               |     7 +-
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    |    70 +-
 .../mesh/2DCyl/moduleMesh2DCylBoundary.f90    |   164 -
 src/modules/mesh/3DCart/makefile              |     8 +
 src/modules/mesh/3DCart/moduleMesh3DCart.f90  |   672 +
 .../mesh/3DCart/moduleMesh3DCartRead.f90      |   470 +
 src/modules/mesh/makefile                     |     7 +-
 src/modules/mesh/moduleMesh.f90               |    24 +-
 src/modules/mesh/moduleMeshBoundary.f90       |   121 +
 src/modules/moduleCollisions.f90              |     4 +-
 29 files changed, 1549 insertions(+), 40455 deletions(-)
 create mode 100644 runs/1D_Cathode/mesh.geo
 delete mode 100644 src/modules/mesh/1DCart/moduleMesh1DCartBoundary.f90
 delete mode 100644 src/modules/mesh/1DRad/moduleMesh1DRadBoundary.f90
 delete mode 100644 src/modules/mesh/2DCart/moduleMesh2DCartBoundary.f90
 delete mode 100644 src/modules/mesh/2DCyl/moduleMesh2DCylBoundary.f90
 create mode 100644 src/modules/mesh/3DCart/makefile
 create mode 100644 src/modules/mesh/3DCart/moduleMesh3DCart.f90
 create mode 100644 src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
 create mode 100644 src/modules/mesh/moduleMeshBoundary.f90

diff --git a/.gitignore b/.gitignore
index 124d47b..f614574 100644
--- a/.gitignore
+++ b/.gitignore
@@ -4,3 +4,4 @@ obj/
 doc/user_manual/
 doc/coding_style/
 json-fortran-8.2.0/
+runs/
diff --git a/makefile b/makefile
index c220ac8..6516128 100644
--- a/makefile
+++ b/makefile
@@ -39,5 +39,6 @@ src.o:
 clean:
 	rm -f $(OUTPUT)
 	rm -f $(MODDIR)/*.mod
+	rm -f $(MODDIR)/*.smod
 	rm -f $(OBJDIR)/*.o
 
diff --git a/runs/1D_Cathode/inputRad.json b/runs/1D_Cathode/inputRad.json
index d64c58c..3e87739 100644
--- a/runs/1D_Cathode/inputRad.json
+++ b/runs/1D_Cathode/inputRad.json
@@ -19,13 +19,16 @@
       "meshFile": "mesh.msh"
   },
   "species": [
-    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e1}
+    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e1},
+    {"name": "Argon+",   "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e1}
   ],
   "boundary": [ 
     {"name": "Cathode",  "physicalSurface": 1, "bTypes": [
+                                                  {"type": "absorption"},
                                                   {"type": "absorption"}
                                                 ]},
     {"name": "Infinite", "physicalSurface": 2, "bTypes": [
+                                                  {"type": "transparent"},
                                                   {"type": "transparent"}
                                                 ]}
   ],
@@ -35,17 +38,21 @@
   ],
   "inject": [
     {"name": "Cathode Electron", "species": "Electron", "flow":  1.0e-3, "units": "A", "v": 27500.0, "T": [2500.0, 2500.0, 2500.0],
-                                 "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [ 1, 0, 0], "physicalSurface": 1}
+                                 "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [ 1, 0, 0], "physicalSurface": 1},
+    {"name": "Plasma Inf Ar+",   "species": "Argon+",   "flow":  1.0e-6, "units": "A", "v": 500.0,   "T": [500.0, 500.0, 500.0],
+                                 "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [-1, 0, 0], "physicalSurface": 2},
+    {"name": "Plasma Inf e",     "species": "Electron", "flow":  1.0e-6, "units": "A", "v": 500.0,   "T": [500.0, 500.0, 500.0],
+                                 "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [-1, 0, 0], "physicalSurface": 2}
   ],
   "case": {
-    "tau":  [1.0e-11],
-    "time": 1.0e-7,
-    "pusher": ["1DRadCharged"],
+    "tau":  [1.0e-11, 1.0e-11],
+    "time": 1.0e-5,
+    "pusher": ["1DRadCharged", "1DRadCharged"],
     "EMSolver": "Electrostatic"
   },
   "parallel": {
     "OpenMP":{
-      "nThreads": 1
+      "nThreads": 24
     }
   }
 }
diff --git a/runs/1D_Cathode/mesh.geo b/runs/1D_Cathode/mesh.geo
new file mode 100644
index 0000000..9b7882f
--- /dev/null
+++ b/runs/1D_Cathode/mesh.geo
@@ -0,0 +1,16 @@
+Lcell = 0.00005;
+
+x0 = 0.001;
+xf = x0 + 100.0*Lcell;
+
+Point(1) = {x0, 0, 0, 1};
+Point(2) = {xf, 0, 0, 1};
+
+Line(1) = {1, 2};
+
+Physical Point(1) = {1};
+Physical Point(2) = {2};
+
+Physical Line(1) = {1};
+
+Transfinite Line {1} = (xf-x0)/Lcell + 1 Using Progression 1;
diff --git a/runs/1D_Cathode/mesh.msh b/runs/1D_Cathode/mesh.msh
index 9b99262..01896a4 100644
--- a/runs/1D_Cathode/mesh.msh
+++ b/runs/1D_Cathode/mesh.msh
@@ -2,19911 +2,111 @@ $MeshFormat
 2.2 0 8
 $EndMeshFormat
 $Nodes
-19901
+101
 1 0.001 0 0
-2 0.2 0 0
-3 0.001009999999999981 0 0
-4 0.001019999999999961 0 0
-5 0.001029999999999942 0 0
-6 0.001039999999999923 0 0
-7 0.001049999999999904 0 0
-8 0.001059999999999885 0 0
-9 0.001069999999999866 0 0
-10 0.001079999999999846 0 0
-11 0.001089999999999827 0 0
-12 0.001099999999999808 0 0
-13 0.001109999999999788 0 0
-14 0.001119999999999769 0 0
-15 0.00112999999999975 0 0
-16 0.001139999999999731 0 0
-17 0.001149999999999712 0 0
-18 0.001159999999999693 0 0
-19 0.001169999999999673 0 0
-20 0.001179999999999654 0 0
-21 0.001189999999999635 0 0
-22 0.001199999999999616 0 0
-23 0.001209999999999596 0 0
-24 0.001219999999999577 0 0
-25 0.001229999999999558 0 0
-26 0.001239999999999539 0 0
-27 0.001249999999999519 0 0
-28 0.0012599999999995 0 0
-29 0.001269999999999481 0 0
-30 0.001279999999999462 0 0
-31 0.001289999999999443 0 0
-32 0.001299999999999423 0 0
-33 0.001309999999999404 0 0
-34 0.001319999999999385 0 0
-35 0.001329999999999366 0 0
-36 0.001339999999999346 0 0
-37 0.001349999999999327 0 0
-38 0.001359999999999308 0 0
-39 0.001369999999999289 0 0
-40 0.001379999999999269 0 0
-41 0.00138999999999925 0 0
-42 0.001399999999999231 0 0
-43 0.001409999999999212 0 0
-44 0.001419999999999193 0 0
-45 0.001429999999999173 0 0
-46 0.001439999999999154 0 0
-47 0.001449999999999135 0 0
-48 0.001459999999999116 0 0
-49 0.001469999999999097 0 0
-50 0.001479999999999077 0 0
-51 0.001489999999999058 0 0
-52 0.001499999999999039 0 0
-53 0.00150999999999902 0 0
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-19531 1 2 1 1 19530 19531
-19532 1 2 1 1 19531 19532
-19533 1 2 1 1 19532 19533
-19534 1 2 1 1 19533 19534
-19535 1 2 1 1 19534 19535
-19536 1 2 1 1 19535 19536
-19537 1 2 1 1 19536 19537
-19538 1 2 1 1 19537 19538
-19539 1 2 1 1 19538 19539
-19540 1 2 1 1 19539 19540
-19541 1 2 1 1 19540 19541
-19542 1 2 1 1 19541 19542
-19543 1 2 1 1 19542 19543
-19544 1 2 1 1 19543 19544
-19545 1 2 1 1 19544 19545
-19546 1 2 1 1 19545 19546
-19547 1 2 1 1 19546 19547
-19548 1 2 1 1 19547 19548
-19549 1 2 1 1 19548 19549
-19550 1 2 1 1 19549 19550
-19551 1 2 1 1 19550 19551
-19552 1 2 1 1 19551 19552
-19553 1 2 1 1 19552 19553
-19554 1 2 1 1 19553 19554
-19555 1 2 1 1 19554 19555
-19556 1 2 1 1 19555 19556
-19557 1 2 1 1 19556 19557
-19558 1 2 1 1 19557 19558
-19559 1 2 1 1 19558 19559
-19560 1 2 1 1 19559 19560
-19561 1 2 1 1 19560 19561
-19562 1 2 1 1 19561 19562
-19563 1 2 1 1 19562 19563
-19564 1 2 1 1 19563 19564
-19565 1 2 1 1 19564 19565
-19566 1 2 1 1 19565 19566
-19567 1 2 1 1 19566 19567
-19568 1 2 1 1 19567 19568
-19569 1 2 1 1 19568 19569
-19570 1 2 1 1 19569 19570
-19571 1 2 1 1 19570 19571
-19572 1 2 1 1 19571 19572
-19573 1 2 1 1 19572 19573
-19574 1 2 1 1 19573 19574
-19575 1 2 1 1 19574 19575
-19576 1 2 1 1 19575 19576
-19577 1 2 1 1 19576 19577
-19578 1 2 1 1 19577 19578
-19579 1 2 1 1 19578 19579
-19580 1 2 1 1 19579 19580
-19581 1 2 1 1 19580 19581
-19582 1 2 1 1 19581 19582
-19583 1 2 1 1 19582 19583
-19584 1 2 1 1 19583 19584
-19585 1 2 1 1 19584 19585
-19586 1 2 1 1 19585 19586
-19587 1 2 1 1 19586 19587
-19588 1 2 1 1 19587 19588
-19589 1 2 1 1 19588 19589
-19590 1 2 1 1 19589 19590
-19591 1 2 1 1 19590 19591
-19592 1 2 1 1 19591 19592
-19593 1 2 1 1 19592 19593
-19594 1 2 1 1 19593 19594
-19595 1 2 1 1 19594 19595
-19596 1 2 1 1 19595 19596
-19597 1 2 1 1 19596 19597
-19598 1 2 1 1 19597 19598
-19599 1 2 1 1 19598 19599
-19600 1 2 1 1 19599 19600
-19601 1 2 1 1 19600 19601
-19602 1 2 1 1 19601 19602
-19603 1 2 1 1 19602 19603
-19604 1 2 1 1 19603 19604
-19605 1 2 1 1 19604 19605
-19606 1 2 1 1 19605 19606
-19607 1 2 1 1 19606 19607
-19608 1 2 1 1 19607 19608
-19609 1 2 1 1 19608 19609
-19610 1 2 1 1 19609 19610
-19611 1 2 1 1 19610 19611
-19612 1 2 1 1 19611 19612
-19613 1 2 1 1 19612 19613
-19614 1 2 1 1 19613 19614
-19615 1 2 1 1 19614 19615
-19616 1 2 1 1 19615 19616
-19617 1 2 1 1 19616 19617
-19618 1 2 1 1 19617 19618
-19619 1 2 1 1 19618 19619
-19620 1 2 1 1 19619 19620
-19621 1 2 1 1 19620 19621
-19622 1 2 1 1 19621 19622
-19623 1 2 1 1 19622 19623
-19624 1 2 1 1 19623 19624
-19625 1 2 1 1 19624 19625
-19626 1 2 1 1 19625 19626
-19627 1 2 1 1 19626 19627
-19628 1 2 1 1 19627 19628
-19629 1 2 1 1 19628 19629
-19630 1 2 1 1 19629 19630
-19631 1 2 1 1 19630 19631
-19632 1 2 1 1 19631 19632
-19633 1 2 1 1 19632 19633
-19634 1 2 1 1 19633 19634
-19635 1 2 1 1 19634 19635
-19636 1 2 1 1 19635 19636
-19637 1 2 1 1 19636 19637
-19638 1 2 1 1 19637 19638
-19639 1 2 1 1 19638 19639
-19640 1 2 1 1 19639 19640
-19641 1 2 1 1 19640 19641
-19642 1 2 1 1 19641 19642
-19643 1 2 1 1 19642 19643
-19644 1 2 1 1 19643 19644
-19645 1 2 1 1 19644 19645
-19646 1 2 1 1 19645 19646
-19647 1 2 1 1 19646 19647
-19648 1 2 1 1 19647 19648
-19649 1 2 1 1 19648 19649
-19650 1 2 1 1 19649 19650
-19651 1 2 1 1 19650 19651
-19652 1 2 1 1 19651 19652
-19653 1 2 1 1 19652 19653
-19654 1 2 1 1 19653 19654
-19655 1 2 1 1 19654 19655
-19656 1 2 1 1 19655 19656
-19657 1 2 1 1 19656 19657
-19658 1 2 1 1 19657 19658
-19659 1 2 1 1 19658 19659
-19660 1 2 1 1 19659 19660
-19661 1 2 1 1 19660 19661
-19662 1 2 1 1 19661 19662
-19663 1 2 1 1 19662 19663
-19664 1 2 1 1 19663 19664
-19665 1 2 1 1 19664 19665
-19666 1 2 1 1 19665 19666
-19667 1 2 1 1 19666 19667
-19668 1 2 1 1 19667 19668
-19669 1 2 1 1 19668 19669
-19670 1 2 1 1 19669 19670
-19671 1 2 1 1 19670 19671
-19672 1 2 1 1 19671 19672
-19673 1 2 1 1 19672 19673
-19674 1 2 1 1 19673 19674
-19675 1 2 1 1 19674 19675
-19676 1 2 1 1 19675 19676
-19677 1 2 1 1 19676 19677
-19678 1 2 1 1 19677 19678
-19679 1 2 1 1 19678 19679
-19680 1 2 1 1 19679 19680
-19681 1 2 1 1 19680 19681
-19682 1 2 1 1 19681 19682
-19683 1 2 1 1 19682 19683
-19684 1 2 1 1 19683 19684
-19685 1 2 1 1 19684 19685
-19686 1 2 1 1 19685 19686
-19687 1 2 1 1 19686 19687
-19688 1 2 1 1 19687 19688
-19689 1 2 1 1 19688 19689
-19690 1 2 1 1 19689 19690
-19691 1 2 1 1 19690 19691
-19692 1 2 1 1 19691 19692
-19693 1 2 1 1 19692 19693
-19694 1 2 1 1 19693 19694
-19695 1 2 1 1 19694 19695
-19696 1 2 1 1 19695 19696
-19697 1 2 1 1 19696 19697
-19698 1 2 1 1 19697 19698
-19699 1 2 1 1 19698 19699
-19700 1 2 1 1 19699 19700
-19701 1 2 1 1 19700 19701
-19702 1 2 1 1 19701 19702
-19703 1 2 1 1 19702 19703
-19704 1 2 1 1 19703 19704
-19705 1 2 1 1 19704 19705
-19706 1 2 1 1 19705 19706
-19707 1 2 1 1 19706 19707
-19708 1 2 1 1 19707 19708
-19709 1 2 1 1 19708 19709
-19710 1 2 1 1 19709 19710
-19711 1 2 1 1 19710 19711
-19712 1 2 1 1 19711 19712
-19713 1 2 1 1 19712 19713
-19714 1 2 1 1 19713 19714
-19715 1 2 1 1 19714 19715
-19716 1 2 1 1 19715 19716
-19717 1 2 1 1 19716 19717
-19718 1 2 1 1 19717 19718
-19719 1 2 1 1 19718 19719
-19720 1 2 1 1 19719 19720
-19721 1 2 1 1 19720 19721
-19722 1 2 1 1 19721 19722
-19723 1 2 1 1 19722 19723
-19724 1 2 1 1 19723 19724
-19725 1 2 1 1 19724 19725
-19726 1 2 1 1 19725 19726
-19727 1 2 1 1 19726 19727
-19728 1 2 1 1 19727 19728
-19729 1 2 1 1 19728 19729
-19730 1 2 1 1 19729 19730
-19731 1 2 1 1 19730 19731
-19732 1 2 1 1 19731 19732
-19733 1 2 1 1 19732 19733
-19734 1 2 1 1 19733 19734
-19735 1 2 1 1 19734 19735
-19736 1 2 1 1 19735 19736
-19737 1 2 1 1 19736 19737
-19738 1 2 1 1 19737 19738
-19739 1 2 1 1 19738 19739
-19740 1 2 1 1 19739 19740
-19741 1 2 1 1 19740 19741
-19742 1 2 1 1 19741 19742
-19743 1 2 1 1 19742 19743
-19744 1 2 1 1 19743 19744
-19745 1 2 1 1 19744 19745
-19746 1 2 1 1 19745 19746
-19747 1 2 1 1 19746 19747
-19748 1 2 1 1 19747 19748
-19749 1 2 1 1 19748 19749
-19750 1 2 1 1 19749 19750
-19751 1 2 1 1 19750 19751
-19752 1 2 1 1 19751 19752
-19753 1 2 1 1 19752 19753
-19754 1 2 1 1 19753 19754
-19755 1 2 1 1 19754 19755
-19756 1 2 1 1 19755 19756
-19757 1 2 1 1 19756 19757
-19758 1 2 1 1 19757 19758
-19759 1 2 1 1 19758 19759
-19760 1 2 1 1 19759 19760
-19761 1 2 1 1 19760 19761
-19762 1 2 1 1 19761 19762
-19763 1 2 1 1 19762 19763
-19764 1 2 1 1 19763 19764
-19765 1 2 1 1 19764 19765
-19766 1 2 1 1 19765 19766
-19767 1 2 1 1 19766 19767
-19768 1 2 1 1 19767 19768
-19769 1 2 1 1 19768 19769
-19770 1 2 1 1 19769 19770
-19771 1 2 1 1 19770 19771
-19772 1 2 1 1 19771 19772
-19773 1 2 1 1 19772 19773
-19774 1 2 1 1 19773 19774
-19775 1 2 1 1 19774 19775
-19776 1 2 1 1 19775 19776
-19777 1 2 1 1 19776 19777
-19778 1 2 1 1 19777 19778
-19779 1 2 1 1 19778 19779
-19780 1 2 1 1 19779 19780
-19781 1 2 1 1 19780 19781
-19782 1 2 1 1 19781 19782
-19783 1 2 1 1 19782 19783
-19784 1 2 1 1 19783 19784
-19785 1 2 1 1 19784 19785
-19786 1 2 1 1 19785 19786
-19787 1 2 1 1 19786 19787
-19788 1 2 1 1 19787 19788
-19789 1 2 1 1 19788 19789
-19790 1 2 1 1 19789 19790
-19791 1 2 1 1 19790 19791
-19792 1 2 1 1 19791 19792
-19793 1 2 1 1 19792 19793
-19794 1 2 1 1 19793 19794
-19795 1 2 1 1 19794 19795
-19796 1 2 1 1 19795 19796
-19797 1 2 1 1 19796 19797
-19798 1 2 1 1 19797 19798
-19799 1 2 1 1 19798 19799
-19800 1 2 1 1 19799 19800
-19801 1 2 1 1 19800 19801
-19802 1 2 1 1 19801 19802
-19803 1 2 1 1 19802 19803
-19804 1 2 1 1 19803 19804
-19805 1 2 1 1 19804 19805
-19806 1 2 1 1 19805 19806
-19807 1 2 1 1 19806 19807
-19808 1 2 1 1 19807 19808
-19809 1 2 1 1 19808 19809
-19810 1 2 1 1 19809 19810
-19811 1 2 1 1 19810 19811
-19812 1 2 1 1 19811 19812
-19813 1 2 1 1 19812 19813
-19814 1 2 1 1 19813 19814
-19815 1 2 1 1 19814 19815
-19816 1 2 1 1 19815 19816
-19817 1 2 1 1 19816 19817
-19818 1 2 1 1 19817 19818
-19819 1 2 1 1 19818 19819
-19820 1 2 1 1 19819 19820
-19821 1 2 1 1 19820 19821
-19822 1 2 1 1 19821 19822
-19823 1 2 1 1 19822 19823
-19824 1 2 1 1 19823 19824
-19825 1 2 1 1 19824 19825
-19826 1 2 1 1 19825 19826
-19827 1 2 1 1 19826 19827
-19828 1 2 1 1 19827 19828
-19829 1 2 1 1 19828 19829
-19830 1 2 1 1 19829 19830
-19831 1 2 1 1 19830 19831
-19832 1 2 1 1 19831 19832
-19833 1 2 1 1 19832 19833
-19834 1 2 1 1 19833 19834
-19835 1 2 1 1 19834 19835
-19836 1 2 1 1 19835 19836
-19837 1 2 1 1 19836 19837
-19838 1 2 1 1 19837 19838
-19839 1 2 1 1 19838 19839
-19840 1 2 1 1 19839 19840
-19841 1 2 1 1 19840 19841
-19842 1 2 1 1 19841 19842
-19843 1 2 1 1 19842 19843
-19844 1 2 1 1 19843 19844
-19845 1 2 1 1 19844 19845
-19846 1 2 1 1 19845 19846
-19847 1 2 1 1 19846 19847
-19848 1 2 1 1 19847 19848
-19849 1 2 1 1 19848 19849
-19850 1 2 1 1 19849 19850
-19851 1 2 1 1 19850 19851
-19852 1 2 1 1 19851 19852
-19853 1 2 1 1 19852 19853
-19854 1 2 1 1 19853 19854
-19855 1 2 1 1 19854 19855
-19856 1 2 1 1 19855 19856
-19857 1 2 1 1 19856 19857
-19858 1 2 1 1 19857 19858
-19859 1 2 1 1 19858 19859
-19860 1 2 1 1 19859 19860
-19861 1 2 1 1 19860 19861
-19862 1 2 1 1 19861 19862
-19863 1 2 1 1 19862 19863
-19864 1 2 1 1 19863 19864
-19865 1 2 1 1 19864 19865
-19866 1 2 1 1 19865 19866
-19867 1 2 1 1 19866 19867
-19868 1 2 1 1 19867 19868
-19869 1 2 1 1 19868 19869
-19870 1 2 1 1 19869 19870
-19871 1 2 1 1 19870 19871
-19872 1 2 1 1 19871 19872
-19873 1 2 1 1 19872 19873
-19874 1 2 1 1 19873 19874
-19875 1 2 1 1 19874 19875
-19876 1 2 1 1 19875 19876
-19877 1 2 1 1 19876 19877
-19878 1 2 1 1 19877 19878
-19879 1 2 1 1 19878 19879
-19880 1 2 1 1 19879 19880
-19881 1 2 1 1 19880 19881
-19882 1 2 1 1 19881 19882
-19883 1 2 1 1 19882 19883
-19884 1 2 1 1 19883 19884
-19885 1 2 1 1 19884 19885
-19886 1 2 1 1 19885 19886
-19887 1 2 1 1 19886 19887
-19888 1 2 1 1 19887 19888
-19889 1 2 1 1 19888 19889
-19890 1 2 1 1 19889 19890
-19891 1 2 1 1 19890 19891
-19892 1 2 1 1 19891 19892
-19893 1 2 1 1 19892 19893
-19894 1 2 1 1 19893 19894
-19895 1 2 1 1 19894 19895
-19896 1 2 1 1 19895 19896
-19897 1 2 1 1 19896 19897
-19898 1 2 1 1 19897 19898
-19899 1 2 1 1 19898 19899
-19900 1 2 1 1 19899 19900
-19901 1 2 1 1 19900 19901
-19902 1 2 1 1 19901 2
+102 1 2 1 1 101 2
 $EndElements
diff --git a/runs/ALPHIE_Grid/inputDiffTau.json b/runs/ALPHIE_Grid/inputDiffTau.json
index 372b99a..a038f25 100644
--- a/runs/ALPHIE_Grid/inputDiffTau.json
+++ b/runs/ALPHIE_Grid/inputDiffTau.json
@@ -45,7 +45,8 @@
   ],
   "boundaryEM": [
     {"name": "Extraction Grid",    "type": "dirichlet", "potential": -150.0, "physicalSurface": 4},
-    {"name": "Acceleration Grid",  "type": "dirichlet", "potential": -600.0, "physicalSurface": 5}
+    {"name": "Acceleration Grid",  "type": "dirichlet", "potential": -600.0, "physicalSurface": 5},
+    {"name": "Ionization Chamber", "type": "dirichlet", "potential":    0.0, "physicalSurface": 1}
   ],
   "inject": [
     {"name": "Ionization Argon+",   "species": "Argon+",   "flow": 27.0e-6, "units": "A", "v":    322.0, "T": [ 500.0,  500.0,  500.0],
diff --git a/runs/ALPHIE_Grid/inputSameTau.json b/runs/ALPHIE_Grid/inputSameTau.json
index 1745451..b91aed5 100644
--- a/runs/ALPHIE_Grid/inputSameTau.json
+++ b/runs/ALPHIE_Grid/inputSameTau.json
@@ -14,8 +14,8 @@
     "meshFile": "mesh.msh"
   },
   "species": [
-    {"name": "Argon+",   "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e2},
-    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e2}
+    {"name": "Argon+",   "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e1},
+    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e1}
   ],
   "boundary": [ 
     {"name": "Ionization Chanber", "physicalSurface": 1, "bTypes": [
@@ -45,7 +45,8 @@
   ],
   "boundaryEM": [
     {"name": "Extraction Grid",    "type": "dirichlet", "potential": -150.0, "physicalSurface": 4},
-    {"name": "Acceleration Grid",  "type": "dirichlet", "potential": -600.0, "physicalSurface": 5}
+    {"name": "Acceleration Grid",  "type": "dirichlet", "potential": -600.0, "physicalSurface": 5},
+    {"name": "Ionization Chamber", "type": "dirichlet", "potential":    0.0, "physicalSurface": 1}
   ],
   "inject": [
     {"name": "Ionization Argon+",   "species": "Argon+",   "flow": 27.0e-6, "units": "A", "v":    322.0, "T": [ 500.0,  500.0,  500.0],
@@ -63,7 +64,7 @@
   },
   "case": {
     "tau":  [1.0e-11, 1.0e-11],
-    "time": 2.0e-6,
+    "time": 1.0e-6,
     "pusher": ["2DCylCharged", "2DCylCharged"],
     "EMSolver": "Electrostatic"
   },
diff --git a/runs/ALPHIE_Grid/mesh.geo b/runs/ALPHIE_Grid/mesh.geo
index 87caea7..f76e393 100644
--- a/runs/ALPHIE_Grid/mesh.geo
+++ b/runs/ALPHIE_Grid/mesh.geo
@@ -1,12 +1,13 @@
-Lz  = 0.0100;
-Lr  = 0.0006;
-zg1 = 0.0025;
-tg1 = 0.0004;
-rg1 = 0.0005;
-dg  = 0.0025;
-zg2 = zg1+tg1+dg;
-tg2 = tg1;
-rg2 = rg1;
+zg1  = 0.0025;
+tg1  = 0.0004;
+rg1  = 0.0005;
+dg   = 0.0025;
+zg2  = zg1+tg1+dg;
+tg2  = tg1;
+rg2  = rg1;
+zEnd = 0.0042;
+Lz   = zg2 + tg2 + zEnd;
+Lr   = rg1 + 0.0001;
 
 Lcell = 0.0001;
 
@@ -96,19 +97,19 @@ Transfinite Line {18, 19, 20, 21, 22, 6} = rg1/Lcell + 1 Using Progression 1;
 Transfinite Line {17, 15, 13, 11, 9, 7}  = (Lr-rg1)/Lcell + 1 Using Progression 1;
 
 
-#Transfinite Surface{1};
-#Recombine Surface {1};
-#Transfinite Surface{2};
-#Recombine Surface {2};
-#Transfinite Surface{3};
-#Recombine Surface {3};
-#Transfinite Surface{4};
-#Recombine Surface {4};
-#Transfinite Surface{5};
-#Recombine Surface {5};
-#Transfinite Surface{6};
-#Recombine Surface {6};
-#Transfinite Surface{7};
-#Recombine Surface {7};
-#Transfinite Surface{8};
-#Recombine Surface {8};
+Transfinite Surface{1};
+Recombine Surface {1};
+Transfinite Surface{2};
+Recombine Surface {2};
+Transfinite Surface{3};
+Recombine Surface {3};
+Transfinite Surface{4};
+Recombine Surface {4};
+Transfinite Surface{5};
+Recombine Surface {5};
+Transfinite Surface{6};
+Recombine Surface {6};
+Transfinite Surface{7};
+Recombine Surface {7};
+Transfinite Surface{8};
+Recombine Surface {8};
diff --git a/src/makefile b/src/makefile
index 004955c..e3801fd 100644
--- a/src/makefile
+++ b/src/makefile
@@ -1,13 +1,13 @@
-OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleCompTime.o $(OBJDIR)/moduleSolver.o \
+OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/moduleCompTime.o $(OBJDIR)/moduleSolver.o \
 			  	$(OBJDIR)/moduleSpecies.o $(OBJDIR)/moduleInject.o $(OBJDIR)/moduleInput.o \
 			  	$(OBJDIR)/moduleErrors.o $(OBJDIR)/moduleList.o $(OBJDIR)/moduleOutput.o \
 			  	$(OBJDIR)/moduleBoundary.o $(OBJDIR)/moduleCaseParam.o $(OBJDIR)/moduleRefParam.o \
 			  	$(OBJDIR)/moduleCollisions.o $(OBJDIR)/moduleTable.o $(OBJDIR)/moduleParallel.o \
 			  	$(OBJDIR)/moduleEM.o $(OBJDIR)/moduleRandom.o \
-			  	$(OBJDIR)/moduleMesh2DCyl.o  $(OBJDIR)/moduleMesh2DCylRead.o	$(OBJDIR)/moduleMesh2DCylBoundary.o \
-			  	$(OBJDIR)/moduleMesh2DCart.o $(OBJDIR)/moduleMesh2DCartRead.o	$(OBJDIR)/moduleMesh2DCartBoundary.o \
-          $(OBJDIR)/moduleMesh1DCart.o $(OBJDIR)/moduleMesh1DCartRead.o $(OBJDIR)/moduleMesh1DCartBoundary.o \
-          $(OBJDIR)/moduleMesh1DRad.o  $(OBJDIR)/moduleMesh1DRadRead.o  $(OBJDIR)/moduleMesh1DRadBoundary.o
+			  	$(OBJDIR)/moduleMesh2DCyl.o  $(OBJDIR)/moduleMesh2DCylRead.o \
+			  	$(OBJDIR)/moduleMesh2DCart.o $(OBJDIR)/moduleMesh2DCartRead.o	\
+          $(OBJDIR)/moduleMesh1DCart.o $(OBJDIR)/moduleMesh1DCartRead.o \
+          $(OBJDIR)/moduleMesh1DRad.o  $(OBJDIR)/moduleMesh1DRadRead.o 
 
 all: $(OUTPUT)
 
diff --git a/src/modules/mesh/1DCart/makefile b/src/modules/mesh/1DCart/makefile
index c83d0fa..e078727 100644
--- a/src/modules/mesh/1DCart/makefile
+++ b/src/modules/mesh/1DCart/makefile
@@ -1,11 +1,8 @@
-all: moduleMesh1DCart.o moduleMesh1DCartBoundary.o moduleMesh1DCartRead.o
+all: moduleMesh1DCart.o moduleMesh1DCartRead.o
 
 moduleMesh1DCart.o: moduleMesh1DCart.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleMesh1DCartBoundary.o: moduleMesh1DCart.o moduleMesh1DCartBoundary.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
-moduleMesh1DCartRead.o: moduleMesh1DCart.o moduleMesh1DCartBoundary.o moduleMesh1DCartRead.f90
+moduleMesh1DCartRead.o: moduleMesh1DCart.o moduleMesh1DCartRead.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 3bd7d05..647d974 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -4,6 +4,7 @@
 !              z == unused
 MODULE moduleMesh1DCart
   USE moduleMesh
+  USE moduleMeshBoundary
   IMPLICIT NONE
 
   TYPE, PUBLIC, EXTENDS(meshNode):: meshNode1DCart
@@ -21,52 +22,13 @@ MODULE moduleMesh1DCart
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL()
     CONTAINS
-      PROCEDURE, PASS:: init     => initEdge1DCart
-      PROCEDURE, PASS:: getNodes => getNodes1DCart
-      PROCEDURE, PASS:: randPos  => randPosEdge
+      PROCEDURE, PASS:: init         => initEdge1DCart
+      PROCEDURE, PASS:: getNodes     => getNodes1DCart
+      PROCEDURE, PASS:: intersection => intersection1DCart
+      PROCEDURE, PASS:: randPos      => randPosEdge
 
   END TYPE meshEdge1DCart
 
-  !Boundary functions defined in the submodule Boundary
-  INTERFACE
-    MODULE SUBROUTINE reflection(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE reflection
-
-    MODULE SUBROUTINE absorption(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE absorption
-
-    MODULE SUBROUTINE transparent(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE transparent
-
-    MODULE SUBROUTINE wallTemperature(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE wallTemperature
-
-  END INTERFACE
-
   TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol1DCart
     CONTAINS
       PROCEDURE, PASS:: detJac => detJ1DCart
@@ -226,6 +188,17 @@ MODULE moduleMesh1DCart
 
     END FUNCTION getNodes1DCart
 
+    PURE FUNCTION intersection1DCart(self, r0, v0) RESULT(r)
+      IMPLICIT NONE
+
+      CLASS(meshEdge1DCart), INTENT(in):: self
+      REAL(8), DIMENSION(1:3), INTENT(in):: r0, v0
+      REAL(8), DIMENSION(1:3):: r
+
+      r = (/ self%x, 0.D0, 0.D0 /)
+
+    END FUNCTION intersection1DCart
+
     !Calculates a 'random' position in edge
     FUNCTION randPosEdge(self) RESULT(r)
       CLASS(meshEdge1DCart), INTENT(in):: self
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCartBoundary.f90 b/src/modules/mesh/1DCart/moduleMesh1DCartBoundary.f90
deleted file mode 100644
index ce2f229..0000000
--- a/src/modules/mesh/1DCart/moduleMesh1DCartBoundary.f90
+++ /dev/null
@@ -1,91 +0,0 @@
-SUBMODULE (moduleMesh1DCart) moduleMesh1DCartBoundary
-  USE moduleMesh1DCart
-
-  CONTAINS
-    SUBROUTINE reflection(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-      SELECT TYPE(edge)
-      TYPE IS(meshEdge1DCart)
-        part%v(1) = -part%v(1)
-        part%r(1) =  2.D0*edge%x - part%r(1)
-
-      END SELECT
-
-    END SUBROUTINE reflection
-
-    SUBROUTINE absorption(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-      REAL(8):: rEdge(1) !Position of particle in the edge
-      REAL(8):: d !Distance from particle to edge
-
-      SELECT TYPE(edge)
-      TYPE IS(meshEdge1DCart)
-        rEdge(1) = edge%x
-        d = DABS(part%r(1) - rEdge(1))
-
-        IF (d > 0.D0) THEN
-          part%weight = part%weight / d
-          part%r(1)   = rEdge(1)
-
-        END IF
-
-        IF (ASSOCIATED(edge%e1)) THEN
-          CALL edge%e1%scatter(part)
-
-        ELSE
-          CALL edge%e2%scatter(part)
-
-        END IF
-
-      END SELECT
-
-      part%n_in = .FALSE.
-
-    END SUBROUTINE absorption
-
-    SUBROUTINE transparent(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-      part%n_in = .FALSE.
-
-    END SUBROUTINE transparent
-
-    SUBROUTINE wallTemperature(edge, part)
-      USE moduleSpecies
-      USE moduleBoundary
-      USE moduleRandom
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-      !Modifies particle velocity according to wall temperature
-      SELECT TYPE(bound => edge%boundary%bTypes(part%sp)%obj)
-      TYPE IS(boundaryWallTemperature)
-        part%v(1) = part%v(1) + bound%vTh*randomMaxwellian()
-
-      END SELECT
-
-      SELECT TYPE(edge)
-      TYPE IS(meshEdge1DCart)
-        part%v(1) = -part%v(1)
-        part%r(1) =  2.D0*edge%x - part%r(1)
-
-      END SELECT
-
-    END SUBROUTINE wallTemperature
-
-END SUBMODULE moduleMesh1DCartBoundary
diff --git a/src/modules/mesh/1DRad/makefile b/src/modules/mesh/1DRad/makefile
index 8af9327..13e34ab 100644
--- a/src/modules/mesh/1DRad/makefile
+++ b/src/modules/mesh/1DRad/makefile
@@ -1,11 +1,8 @@
-all: moduleMesh1DRad.o moduleMesh1DRadBoundary.o moduleMesh1DRadRead.o
+all: moduleMesh1DRad.o moduleMesh1DRadRead.o
 
 moduleMesh1DRad.o: moduleMesh1DRad.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleMesh1DRadBoundary.o: moduleMesh1DRad.o moduleMesh1DRadBoundary.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
-moduleMesh1DRadRead.o: moduleMesh1DRad.o moduleMesh1DRadBoundary.o moduleMesh1DRadRead.f90
+moduleMesh1DRadRead.o: moduleMesh1DRad.o moduleMesh1DRadRead.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index c05bba6..3f67f15 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -4,6 +4,7 @@
 !              z == unused
 MODULE moduleMesh1DRad
   USE moduleMesh
+  USE moduleMeshBoundary
   IMPLICIT NONE
 
   TYPE, PUBLIC, EXTENDS(meshNode):: meshNode1DRad
@@ -21,52 +22,13 @@ MODULE moduleMesh1DRad
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL()
     CONTAINS
-      PROCEDURE, PASS:: init     => initEdge1DRad
-      PROCEDURE, PASS:: getNodes => getNodes1DRad
-      PROCEDURE, PASS:: randPos  => randPos1DRad
+      PROCEDURE, PASS:: init         => initEdge1DRad
+      PROCEDURE, PASS:: getNodes     => getNodes1DRad
+      PROCEDURE, PASS:: intersection => intersection1DRad
+      PROCEDURE, PASS:: randPos      => randPos1DRad
 
   END TYPE meshEdge1DRad
 
-  !Boundary functions defined in the submodule Boundary
-  INTERFACE
-    MODULE SUBROUTINE reflection(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE reflection
-
-    MODULE SUBROUTINE absorption(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE absorption
-
-    MODULE SUBROUTINE transparent(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE transparent
-
-    MODULE SUBROUTINE wallTemperature(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE wallTemperature
-
-  END INTERFACE
-
   TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol1DRad
     CONTAINS
       PROCEDURE, PASS:: detJac => detJ1DRad
@@ -227,6 +189,17 @@ MODULE moduleMesh1DRad
 
     END FUNCTION getNodes1DRad
 
+    PURE FUNCTION intersection1DRad(self, r0, v0) RESULT(r)
+      IMPLICIT NONE
+
+      CLASS(meshEdge1DRad), INTENT(in):: self
+      REAL(8), DIMENSION(1:3), INTENT(in):: r0, v0
+      REAL(8), DIMENSION(1:3):: r
+
+      r = (/ self%r, 0.D0, 0.D0 /)
+
+    END FUNCTION intersection1DRad
+
     !Calculates a 'random' position in edge
     FUNCTION randPos1DRad(self) RESULT(r)
       CLASS(meshEdge1DRad), INTENT(in):: self
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRadBoundary.f90 b/src/modules/mesh/1DRad/moduleMesh1DRadBoundary.f90
deleted file mode 100644
index 75cf27d..0000000
--- a/src/modules/mesh/1DRad/moduleMesh1DRadBoundary.f90
+++ /dev/null
@@ -1,93 +0,0 @@
-SUBMODULE (moduleMesh1DRad) moduleMesh1DRadBoundary
-  USE moduleMesh1DRad
-
-  CONTAINS
-    SUBROUTINE reflection(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-      SELECT TYPE(edge)
-      TYPE IS(meshEdge1DRad)
-        part%v(1) = -part%v(1)
-        part%r(1) =  2.D0*edge%r - part%r(1)
-
-      END SELECT
-
-      part%n_in = .TRUE.
-
-    END SUBROUTINE reflection
-
-    SUBROUTINE absorption(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-      REAL(8):: rEdge(1) !Position of particle in the edge
-      REAL(8):: d !Distance from particle to edge
-
-      SELECT TYPE(edge)
-      TYPE IS(meshEdge1DRad)
-        rEdge(1) = edge%r
-        d = DABS(part%r(1) - rEdge(1))
-
-        IF (d > 0.D0) THEN
-          part%weight = part%weight / d
-          part%r(1)   = rEdge(1)
-
-        END IF
-
-        IF (ASSOCIATED(edge%e1)) THEN
-          CALL edge%e1%scatter(part)
-
-        ELSE
-          CALL edge%e2%scatter(part)
-
-        END IF
-
-      END SELECT
-
-      part%n_in = .FALSE.
-
-    END SUBROUTINE absorption
-
-    SUBROUTINE transparent(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-      part%n_in = .FALSE.
-
-    END SUBROUTINE transparent
-
-    SUBROUTINE wallTemperature(edge, part)
-      USE moduleSpecies
-      USE moduleBoundary
-      USE moduleRandom
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-      !Modifies particle velocity according to wall temperature
-      SELECT TYPE(bound => edge%boundary%bTypes(part%sp)%obj)
-      TYPE IS(boundaryWallTemperature)
-        part%v(1) = part%v(1) + bound%vTh*randomMaxwellian()
-
-      END SELECT
-
-      SELECT TYPE(edge)
-      TYPE IS(meshEdge1DRad)
-        part%v(1) = -part%v(1)
-        part%r(1) =  2.D0*edge%r - part%r(1)
-
-      END SELECT
-
-    END SUBROUTINE wallTemperature
-
-END SUBMODULE moduleMesh1DRadBoundary
diff --git a/src/modules/mesh/2DCart/makefile b/src/modules/mesh/2DCart/makefile
index 312916b..65211cb 100644
--- a/src/modules/mesh/2DCart/makefile
+++ b/src/modules/mesh/2DCart/makefile
@@ -1,11 +1,8 @@
-all : moduleMesh2DCart.o moduleMesh2DCartBoundary.o moduleMesh2DCartRead.o
+all : moduleMesh2DCart.o moduleMesh2DCartRead.o
 
 moduleMesh2DCart.o: moduleMesh2DCart.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleMesh2DCartBoundary.o: moduleMesh2DCart.o moduleMesh2DCartBoundary.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
-moduleMesh2DCartRead.o: moduleMesh2DCart.o moduleMesh2DCartBoundary.o moduleMesh2DCartRead.f90
+moduleMesh2DCartRead.o: moduleMesh2DCart.o moduleMesh2DCartRead.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index ca32dc0..cc2369a 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -4,6 +4,7 @@
 !                  z == unused
 MODULE moduleMesh2DCart
   USE moduleMesh
+  USE moduleMeshBoundary
   IMPLICIT NONE
 
   !Values for Gauss integral
@@ -31,50 +32,11 @@ MODULE moduleMesh2DCart
     CONTAINS
       PROCEDURE, PASS:: init     => initEdge2DCart
       PROCEDURE, PASS:: getNodes => getNodes2DCart
+      PROCEDURE, PASS:: intersection => intersection2DCartEdge
       PROCEDURE, PASS:: randPos  => randPosEdge
 
   END TYPE meshEdge2DCart
 
-  !Boundary functions defined in the submodule Boundary
-  INTERFACE
-    MODULE SUBROUTINE reflection(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE reflection
-
-    MODULE SUBROUTINE absorption(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE absorption
-
-    MODULE SUBROUTINE wallTemperature(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE wallTemperature
-
-    MODULE SUBROUTINE transparent(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE transparent
-
-  END INTERFACE
-
   TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol2DCart
     CONTAINS
       PROCEDURE, PASS:: detJac    => detJ2DCart
@@ -295,6 +257,23 @@ MODULE moduleMesh2DCart
 
     END FUNCTION getNodes2DCart
 
+    PURE FUNCTION intersection2DCartEdge(self, r0, v0) RESULT(r)
+      IMPLICIT NONE
+
+      CLASS(meshEdge2DCart), INTENT(in):: self
+      REAL(8), DIMENSION(1:3), INTENT(in):: r0, v0
+      REAL(8), DIMENSION(1:3):: r
+      REAL(8), DIMENSION(1:3):: rS !base point of surface
+      REAL(8):: d
+
+      rS = (/ self%x(1), self%y(1), 0.D0 /)
+
+      d = DOT_PRODUCT((rS - r0), self%normal)/DOT_PRODUCT(v0, self%normal)
+
+      r = r0 + v0*d
+
+    END FUNCTION intersection2DCartEdge
+
     !Calculates a random position in edge
     FUNCTION randPosEdge(self) RESULT(r)
       USE moduleRandom
@@ -365,7 +344,7 @@ MODULE moduleMesh2DCart
       self%arNodes = 0.D0
       !2D 1 point Gauss Quad Integral
       xi = 0.D0
-      detJ = self%detJac(xi)*4.D0 !4*2*pi
+      detJ = self%detJac(xi)*4.D0 !4
       fPsi = self%fPsi(xi)
       self%volume  =      detJ
       self%arNodes = fPsi*detJ
@@ -930,7 +909,6 @@ MODULE moduleMesh2DCart
       REAL(8):: dPsiR(1:2,1:3)!Derivative of shpae functions in global coordinates
       REAL(8):: invJ(1:2,1:2), detJ
       REAL(8):: phi(1:3)
-      REAL(8):: dummy
       REAL(8):: EF(1:3)
 
       phi = (/self%n1%emData%phi, &
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCartBoundary.f90 b/src/modules/mesh/2DCart/moduleMesh2DCartBoundary.f90
deleted file mode 100644
index e4cbe1c..0000000
--- a/src/modules/mesh/2DCart/moduleMesh2DCartBoundary.f90
+++ /dev/null
@@ -1,154 +0,0 @@
-!moduleMesh2DCartBoundary: Boundary functions for cylindrical coordinates
-SUBMODULE (moduleMesh2DCart) moduleMesh2DCartBoundary
-  USE moduleMesh2DCart
-
-  CONTAINS
-    SUBROUTINE reflection(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-      REAL(8):: edgeNorm, cosT, sinT, rp(1:2), rpp(1:2), vpp(1:2)
-
-      !TODO: Try to do this without select
-      SELECT TYPE(edge)
-      TYPE IS(meshEdge2DCart)
-        edgeNorm = DSQRT((edge%y(2)-edge%y(1))**2 + (edge%x(2)-edge%x(1))**2)
-        cosT = (edge%x(2)-edge%x(1))/edgeNorm
-        sinT = DSQRT(1-cosT**2)
-
-        rp(1) = part%r(1) - edge%x(1);
-        rp(2) = part%r(2) - edge%y(1);
-
-        rpp(1) = cosT*rp(1) - sinT*rp(2)
-        rpp(2) = sinT*rp(1) + cosT*rp(2)
-        rpp(2) = -rpp(2)
-
-        vpp(1) = cosT*part%v(1) - sinT*part%v(2)
-        vpp(2) = sinT*part%v(1) + cosT*part%v(2)
-        vpp(2) = -vpp(2)
-
-        part%r(1) =  cosT*rpp(1) + sinT*rpp(2) + edge%x(1);
-        part%r(2) = -sinT*rpp(1) + cosT*rpp(2) + edge%y(1);
-        part%v(1) =  cosT*vpp(1) + sinT*vpp(2)
-        part%v(2) = -sinT*vpp(1) + cosT*vpp(2)
-
-      END SELECT
-
-      part%n_in = .TRUE.
-
-    END SUBROUTINE reflection
-
-    !Absoption in a surface
-    SUBROUTINE absorption(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-      REAL(8):: rEdge(1:2) !Position of particle projected to the edge
-      REAL(8):: a, b, c
-      REAL(8):: a2b2
-      REAL(8):: d !Distance from particle to edge
-
-      SELECT TYPE(edge)
-      TYPE IS(meshEdge2DCart)
-        a = (edge%x(1) - edge%x(2))
-        b = (edge%y(1) - edge%y(2))
-        c =  edge%x(1)*edge%y(2) - edge%x(2)*edge%y(1)
-
-        a2b2 = a**2 + b**2
-
-        rEdge(1) = (b*( b*part%r(1) - a*part%r(2)) - a*c)/a2b2
-        rEdge(2) = (a*(-b*part%r(1) + a*part%r(2)) - b*c)/a2b2
-
-        d = NORM2(rEdge - part%r(1:2))
-        !Reduce weight of particle by the distance to the edge and move it to the edge
-        IF (d > 0.D0) THEN
-          part%weight = part%weight / d
-          part%r(1:2) = rEdge
-
-        END IF
-
-        !Scatter particle in associated volume
-        IF (ASSOCIATED(edge%e1)) THEN
-          CALL edge%e1%scatter(part)
-
-        ELSE
-          CALL edge%e2%scatter(part)
-
-        END IF
-
-      END SELECT
-
-      !Remove particle from the domain
-      part%n_in = .FALSE.
-
-    END SUBROUTINE absorption
-
-    !Transparent boundary condition
-    SUBROUTINE transparent(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-      !Removes particle from domain
-      part%n_in = .FALSE.
-
-    END SUBROUTINE transparent
-
-    !Wall with temperature
-    SUBROUTINE wallTemperature(edge, part)
-      USE moduleSpecies
-      USE moduleBoundary
-      USE moduleRandom
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-      REAL(8):: edgeNorm, cosT, sinT, rp(1:2), rpp(1:2), vpp(1:2)
-      INTEGER:: i
-
-      !Modifies particle velocity according to wall temperature
-      SELECT TYPE(bound => edge%boundary%bTypes(part%sp)%obj)
-      TYPE IS(boundaryWallTemperature)
-        DO i = 1, 3
-          part%v(i) = part%v(i) + bound%vTh*randomMaxwellian()
-
-        END DO
-          
-      END SELECT
-
-      !Reflects particle in the edge
-      SELECT TYPE(edge)
-      TYPE IS(meshEdge2DCart)
-        edgeNorm = DSQRT((edge%y(2)-edge%y(1))**2 + (edge%x(2)-edge%x(1))**2)
-        cosT = (edge%x(2)-edge%x(1))/edgeNorm
-        sinT = DSQRT(1-cosT**2)
-
-        rp(1) = part%r(1) - edge%x(1);
-        rp(2) = part%r(2) - edge%y(1);
-
-        rpp(1) = cosT*rp(1) - sinT*rp(2)
-        rpp(2) = sinT*rp(1) + cosT*rp(2)
-        rpp(2) = -rpp(2)
-
-        vpp(1) = cosT*part%v(1) - sinT*part%v(2)
-        vpp(2) = sinT*part%v(1) + cosT*part%v(2)
-        vpp(2) = -vpp(2)
-
-        part%r(1) =  cosT*rpp(1) + sinT*rpp(2) + edge%x(1);
-        part%r(2) = -sinT*rpp(1) + cosT*rpp(2) + edge%y(1);
-        part%v(1) =  cosT*vpp(1) + sinT*vpp(2)
-        part%v(2) = -sinT*vpp(1) + cosT*vpp(2)
-
-      END SELECT
-
-      part%n_in = .TRUE.
-
-    END SUBROUTINE wallTemperature
-
-END SUBMODULE moduleMesh2DCartBoundary
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90 b/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
index db537c6..b91627a 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
@@ -65,7 +65,7 @@ MODULE moduleMesh2DCartRead
       ALLOCATE(self%IPIV(1:self%numNodes,1:self%numNodes))
       self%K = 0.D0
       self%IPIV = 0
-      !Read nodes cartesian coordinates (x=x, y=y, z=null)
+      !Read node cartesian coordinates (x=x, y=y, z=null)
       DO e=1, self%numNodes
         READ(10, *) n, x, y
         ALLOCATE(meshNode2DCart:: self%nodes(n)%obj)
diff --git a/src/modules/mesh/2DCyl/makefile b/src/modules/mesh/2DCyl/makefile
index fd8e453..ca2d7d1 100644
--- a/src/modules/mesh/2DCyl/makefile
+++ b/src/modules/mesh/2DCyl/makefile
@@ -1,11 +1,8 @@
-all : moduleMesh2DCyl.o moduleMesh2DCylBoundary.o moduleMesh2DCylRead.o
+all : moduleMesh2DCyl.o moduleMesh2DCylRead.o
 
 moduleMesh2DCyl.o: moduleMesh2DCyl.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleMesh2DCylBoundary.o: moduleMesh2DCyl.o moduleMesh2DCylBoundary.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
-moduleMesh2DCylRead.o: moduleMesh2DCyl.o moduleMesh2DCylBoundary.o moduleMesh2DCylRead.f90
+moduleMesh2DCylRead.o: moduleMesh2DCyl.o moduleMesh2DCylRead.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 1376160..9303c1b 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -4,6 +4,7 @@
 !               z == theta (unused)
 MODULE moduleMesh2DCyl
   USE moduleMesh
+  USE moduleMeshBoundary
   IMPLICIT NONE
 
   !Values for Gauss integral
@@ -31,59 +32,11 @@ MODULE moduleMesh2DCyl
     CONTAINS
       PROCEDURE, PASS:: init     => initEdge2DCyl
       PROCEDURE, PASS:: getNodes => getNodes2DCyl
+      PROCEDURE, PASS:: intersection => intersection2DCylEdge
       PROCEDURE, PASS:: randPos  => randPosEdge
 
   END TYPE meshEdge2DCyl
 
-  !Boundary functions defined in the submodule Boundary
-  INTERFACE
-    MODULE SUBROUTINE reflection(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE reflection
-
-    MODULE SUBROUTINE absorption(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE absorption
-
-    MODULE SUBROUTINE wallTemperature(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE wallTemperature
-
-    MODULE SUBROUTINE transparent(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE transparent
-
-    MODULE SUBROUTINE symmetryAxis(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-        
-    END SUBROUTINE symmetryAxis
-
-  END INTERFACE
-
   TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol2DCyl
     CONTAINS
       PROCEDURE, PASS:: detJac    => detJ2DCyl
@@ -286,6 +239,23 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION getNodes2DCyl
 
+    PURE FUNCTION intersection2DCylEdge(self, r0, v0) RESULT(r)
+      IMPLICIT NONE
+
+      CLASS(meshEdge2DCyl), INTENT(in):: self
+      REAL(8), DIMENSION(1:3), INTENT(in):: r0, v0
+      REAL(8), DIMENSION(1:3):: r
+      REAL(8), DIMENSION(1:3):: rS !base point of surface
+      REAL(8):: d
+
+      rS = (/ self%z(1), self%r(1), 0.D0 /)
+
+      d = DOT_PRODUCT((rS - r0), self%normal)/DOT_PRODUCT(v0, self%normal)
+
+      r = r0 + v0*d
+
+    END FUNCTION intersection2DCylEdge
+
     !Calculates a random position in edge
     FUNCTION randPosEdge(self) RESULT(r)
       USE moduleRandom
@@ -734,6 +704,7 @@ MODULE moduleMesh2DCyl
       xii(2) = random( 0.D0, 1.D0)
       xii(3) = 0.D0
 
+      ALLOCATE(fPsi(1:3))
       fPsi = self%fPsi(xii)
 
       r(1) = DOT_PRODUCT(fPsi, self%z)
@@ -959,7 +930,6 @@ MODULE moduleMesh2DCyl
       REAL(8):: dPsiR(1:2,1:3)!Derivative of shpae functions in global coordinates
       REAL(8):: invJ(1:2,1:2), detJ
       REAL(8):: phi(1:3)
-      REAL(8):: dummy
       REAL(8):: EF(1:3)
 
       phi = (/self%n1%emData%phi, &
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCylBoundary.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCylBoundary.f90
deleted file mode 100644
index 7a1c581..0000000
--- a/src/modules/mesh/2DCyl/moduleMesh2DCylBoundary.f90
+++ /dev/null
@@ -1,164 +0,0 @@
-!moduleMesh2DCylBoundary: Boundary functions for cylindrical coordinates
-SUBMODULE (moduleMesh2DCyl) moduleMesh2DCylBoundary
-  USE moduleMesh2DCyl
-
-  CONTAINS
-    SUBROUTINE reflection(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-      REAL(8):: edgeNorm, cosT, sinT, rp(1:2), rpp(1:2), vpp(1:2)
-
-      !TODO: Try to do this without select
-      SELECT TYPE(edge)
-      TYPE IS(meshEdge2DCyl)
-        edgeNorm = DSQRT((edge%r(2)-edge%r(1))**2 + (edge%z(2)-edge%z(1))**2)
-        cosT = (edge%z(2)-edge%z(1))/edgeNorm
-        sinT = DSQRT(1-cosT**2)
-
-        rp(1) = part%r(1) - edge%z(1);
-        rp(2) = part%r(2) - edge%r(1);
-
-        rpp(1) = cosT*rp(1) - sinT*rp(2)
-        rpp(2) = sinT*rp(1) + cosT*rp(2)
-        rpp(2) = -rpp(2)
-
-        vpp(1) = cosT*part%v(1) - sinT*part%v(2)
-        vpp(2) = sinT*part%v(1) + cosT*part%v(2)
-        vpp(2) = -vpp(2)
-
-        part%r(1) =  cosT*rpp(1) + sinT*rpp(2) + edge%z(1);
-        part%r(2) = -sinT*rpp(1) + cosT*rpp(2) + edge%r(1);
-        part%v(1) =  cosT*vpp(1) + sinT*vpp(2)
-        part%v(2) = -sinT*vpp(1) + cosT*vpp(2)
-
-      END SELECT
-
-      part%n_in = .TRUE.
-
-    END SUBROUTINE reflection
-
-    !Absoption in a surface
-    SUBROUTINE absorption(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-      REAL(8):: rEdge(1:2) !Position of particle projected to the edge
-      REAL(8):: a, b, c
-      REAL(8):: a2b2
-      REAL(8):: d !Distance from particle to edge
-
-      SELECT TYPE(edge)
-      TYPE IS(meshEdge2DCyl)
-        a = (edge%z(1) - edge%z(2))
-        b = (edge%r(1) - edge%r(2))
-        c =  edge%z(1)*edge%r(2) - edge%z(2)*edge%r(1)
-
-        a2b2 = a**2 + b**2
-
-        rEdge(1) = (b*( b*part%r(1) - a*part%r(2)) - a*c)/a2b2
-        rEdge(2) = (a*(-b*part%r(1) + a*part%r(2)) - b*c)/a2b2
-
-        d = NORM2(rEdge - part%r(1:2))
-        !Reduce weight of particle by the distance to the edge and move it to the edge
-        IF (d > 0.D0) THEN
-          part%weight = part%weight / d
-          part%r(1:2) = rEdge
-
-        END IF
-
-        !Scatter particle in associated volume
-        IF (ASSOCIATED(edge%e1)) THEN
-          CALL edge%e1%scatter(part)
-
-        ELSE
-          CALL edge%e2%scatter(part)
-
-        END IF
-
-      END SELECT
-
-      !Remove particle from the domain
-      part%n_in = .FALSE.
-
-    END SUBROUTINE absorption
-
-    !Transparent boundary condition
-    SUBROUTINE transparent(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-      !Removes particle from domain
-      part%n_in = .FALSE.
-
-    END SUBROUTINE transparent
-
-    !Wall with temperature
-    SUBROUTINE wallTemperature(edge, part)
-      USE moduleSpecies
-      USE moduleBoundary
-      USE moduleRandom
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-      REAL(8):: edgeNorm, cosT, sinT, rp(1:2), rpp(1:2), vpp(1:2)
-      INTEGER:: i
-
-      !Modifies particle velocity according to wall temperature
-      SELECT TYPE(bound => edge%boundary%bTypes(part%sp)%obj)
-      TYPE IS(boundaryWallTemperature)
-        DO i = 1, 3
-          part%v(i) = part%v(i) + bound%vTh*randomMaxwellian()
-
-        END DO
-          
-      END SELECT
-
-      !Reflects particle in the edge
-      SELECT TYPE(edge)
-      TYPE IS(meshEdge2DCyl)
-        edgeNorm = DSQRT((edge%r(2)-edge%r(1))**2 + (edge%z(2)-edge%z(1))**2)
-        cosT = (edge%z(2)-edge%z(1))/edgeNorm
-        sinT = DSQRT(1-cosT**2)
-
-        rp(1) = part%r(1) - edge%z(1);
-        rp(2) = part%r(2) - edge%r(1);
-
-        rpp(1) = cosT*rp(1) - sinT*rp(2)
-        rpp(2) = sinT*rp(1) + cosT*rp(2)
-        rpp(2) = -rpp(2)
-
-        vpp(1) = cosT*part%v(1) - sinT*part%v(2)
-        vpp(2) = sinT*part%v(1) + cosT*part%v(2)
-        vpp(2) = -vpp(2)
-
-        part%r(1) =  cosT*rpp(1) + sinT*rpp(2) + edge%z(1);
-        part%r(2) = -sinT*rpp(1) + cosT*rpp(2) + edge%r(1);
-        part%v(1) =  cosT*vpp(1) + sinT*vpp(2)
-        part%v(2) = -sinT*vpp(1) + cosT*vpp(2)
-
-      END SELECT
-
-      part%n_in = .TRUE.
-
-    END SUBROUTINE wallTemperature
-
-    !Symmetry axis. Dummy function
-    SUBROUTINE symmetryAxis(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-    END SUBROUTINE symmetryAxis
-
-END SUBMODULE moduleMesh2DCylBoundary
diff --git a/src/modules/mesh/3DCart/makefile b/src/modules/mesh/3DCart/makefile
new file mode 100644
index 0000000..0c77a10
--- /dev/null
+++ b/src/modules/mesh/3DCart/makefile
@@ -0,0 +1,8 @@
+all : moduleMesh3DCart.o moduleMesh3DCartRead.o
+
+moduleMesh3DCart.o: moduleMesh3DCart.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
+moduleMesh3DCartRead.o: moduleMesh3DCart.o moduleMesh3DCartRead.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
new file mode 100644
index 0000000..d01e820
--- /dev/null
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -0,0 +1,672 @@
+!moduleMesh3DCart: 3D Cartesian coordinate system
+!                  x == x
+!                  y == y
+!                  z == z
+MODULE moduleMesh3DCart
+  USE moduleMesh
+  USE moduleMeshBoundary
+  IMPLICIT NONE
+
+  TYPE, PUBLIC, EXTENDS(meshNode):: meshNode3DCart
+    !Element coordinates
+    REAL(8):: x, y, z
+    CONTAINS
+      PROCEDURE, PASS:: init           => initNode3DCart
+      PROCEDURE, PASS:: getCoordinates => getCoord3DCart
+
+  END TYPE meshNode3DCart
+
+  !Triangular surface element
+  TYPE, PUBLIC, EXTENDS(meshEdge):: meshEdge3DCartTria
+    !Element coordinates
+    REAL(8):: x(1:3) = 0.D0, y(1:3) = 0.D0, z(1:3) = 0.D0
+    !Connectivity to nodes
+    CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL()
+    CONTAINS
+      PROCEDURE, PASS::   init         => initEdge3DCartTria
+      PROCEDURE, PASS::   getNodes     => getNodes3DCartTria
+      PROCEDURE, PASS::   intersection => intersection3DCartTria
+      PROCEDURE, PASS::   randPos      => randPosEdgeTria
+      PROCEDURE, NOPASS:: fPsi         => fPsiEdgeTria
+
+  END TYPE meshEdge3DCartTria
+
+  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol3DCart
+    CONTAINS
+      PROCEDURE, PASS:: detJac => detJ3DCart
+      PROCEDURE, PASS:: invJac => invJ3DCart
+      PROCEDURE(fPsi_interface), DEFERRED, NOPASS:: fPsi
+      PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
+      PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
+  
+  END TYPE meshVol3DCart
+
+  ABSTRACT INTERFACE
+    PURE FUNCTION fPsi_interface(xii) RESULT(fPsi)
+      REAL(8), INTENT(in):: xii(1:3)
+      REAL(8), ALLOCATABLE:: fPsi(:)
+
+    END FUNCTION fPsi_interface
+
+    PURE FUNCTION dPsi_interface(xii) RESULT(dPsi)
+      REAL(8), INTENT(in):: xii(1:3)
+      REAL(8), ALLOCATABLE:: dPsi(:,:)
+
+    END FUNCTION dPsi_interface
+
+    PURE SUBROUTINE partialDer_interface(self, dPsi, dx, dy, dz)
+      IMPORT meshVol3DCart
+      CLASS(meshVol3DCart), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:,1:)
+      REAL(8), INTENT(out), DIMENSION(1:3):: dx, dy, dz
+
+    END SUBROUTINE partialDer_interface
+
+  END INTERFACE
+
+  !Tetrahedron volume element
+  TYPE, PUBLIC, EXTENDS(meshVol3DCart):: meshVol3DCartTetra
+    !Element Coordinates
+    REAL(8):: x(1:4) = 0.D0, y(1:4) = 0.D0, z(1:4) = 0.D0
+    !Connectivity to nodes
+    CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL(), n4 => NULL()
+    !Connectivity to adjacent elements
+    CLASS(*), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
+    CONTAINS
+      PROCEDURE, PASS::   init        => initVolTetra3DCart
+      PROCEDURE, PASS::   randPos     => randPosVolTetra
+      PROCEDURE, PASS::   calcVol     => volumeTetra
+      PROCEDURE, NOPASS:: fPsi        => fPsiTetra
+      PROCEDURE, NOPASS:: dPsi        => dPsiTetra
+      PROCEDURE, NOPASS:: dPsiXi1     => dPsiTetraXii1
+      PROCEDURE, NOPASS:: dPsiXi2     => dPsiTetraXii2
+      PROCEDURE, PASS::   partialDer  => partialDerTetra
+      PROCEDURE, PASS::   elemK       => elemKTetra
+      PROCEDURE, PASS::   elemF       => elemFTetra
+      PROCEDURE, NOPASS:: weight      => weightTetra
+      PROCEDURE, NOPASS:: inside      => insideTetra
+      PROCEDURE, PASS::   scatter     => scatterTetra
+      PROCEDURE, PASS::   gatherEF    => gatherEFTetra
+      PROCEDURE, PASS::   getNodes    => getNodesTetra
+      PROCEDURE, PASS::   phy2log     => phy2logTetra
+      PROCEDURE, PASS::   nextElement => nextElementTetra
+      
+  END TYPE meshVol3DCartTetra
+
+  CONTAINS
+    !NODE FUNCTIONS
+    !Inits node element
+    SUBROUTINE initNode3DCart(self, n, r)
+      USE moduleSpecies
+      USE moduleRefParam
+      IMPLICIT NONE
+
+      CLASS(meshNode3DCart), INTENT(out):: self
+      INTEGER, INTENT(in):: n
+      REAL(8), INTENT(in):: r(1:3)
+
+      self%n = n
+      self%x = r(1)/L_ref
+      self%y = r(2)/L_ref
+      self%z = r(3)/L_ref
+      !Node volume, to be determined in mesh
+      self%v = 0.D0
+
+      !Allocates output:
+      ALLOCATE(self%output(1:nSpecies))
+
+    END SUBROUTINE initNode3DCart
+
+    !Get coordinates from node
+    PURE FUNCTION getCoord3DCart(self) RESULT(r)
+      IMPLICIT NONE
+
+      CLASS(meshNode3DCart), INTENT(in):: self
+      REAL(8):: r(1:3)
+
+      r = (/self%x, self%y, self%z/)
+
+    END FUNCTION getCoord3DCart
+
+    !SURFACE FUNCTIONS
+    !Inits surface element
+    SUBROUTINE initEdge3DCartTria(self, n, p, bt, physicalSurface)
+      USE moduleSpecies
+      USE moduleBoundary
+      USE moduleErrors
+      IMPLICIT NONE
+
+      CLASS(meshEdge3DCartTria), INTENT(out):: self
+      INTEGER, INTENT(in):: n
+      INTEGER, INTENT(in):: p(:)
+      INTEGER, INTENT(in):: bt
+      INTEGER, INTENT(in):: physicalSurface
+      REAL(8), DIMENSION(1:3):: r1, r2, r3
+      INTEGER:: s
+
+      self%n = n
+      self%n1 => mesh%nodes(p(1))%obj
+      self%n3 => mesh%nodes(p(2))%obj
+      self%n3 => mesh%nodes(p(3))%obj
+      !Get element coordinates
+      r1 = self%n1%getCoordinates()
+      r2 = self%n2%getCoordinates()
+      r3 = self%n3%getCoordinates()
+      self%x  = (/r1(1), r2(1), r3(1)/)
+      self%y  = (/r1(2), r2(2), r3(2)/)
+      self%z  = (/r1(3), r2(3), r3(3)/)
+      !Normal vector
+      self%normal = (/  (self%y(2)-self%y(1))*(self%z(3)-self%z(1)) - (self%z(2)-self%z(1))*(self%y(3)-self%y(1)), &
+                        (self%x(2)-self%x(1))*(self%z(3)-self%z(1)) - (self%z(2)-self%z(1))*(self%x(3)-self%x(1)), &
+                        (self%x(2)-self%x(1))*(self%y(3)-self%y(1)) - (self%z(2)-self%z(1))*(self%y(3)-self%y(1)) /)
+
+      !Boundary index
+      self%boundary => boundary(bt)
+      ALLOCATE(self%fBoundary(1:nSpecies))
+      !Assign functions to boundary
+      DO s = 1, nSpecies
+        SELECT TYPE(obj => self%boundary%bTypes(s)%obj)
+        TYPE IS(boundaryAbsorption)
+          self%fBoundary(s)%apply => absorption
+
+        TYPE IS(boundaryReflection)
+          self%fBoundary(s)%apply => reflection
+
+        TYPE IS(boundaryTransparent)
+          self%fBoundary(s)%apply => transparent
+
+        TYPE IS(boundaryWallTemperature)
+          self%fBoundary(s)%apply => wallTemperature
+
+        CLASS DEFAULT
+          CALL criticalError("Boundary type not defined in this geometry", 'initEdge3DCart')
+
+        END SELECT
+
+      END DO
+
+      !Physical surface
+      self%physicalSurface = physicalSurface
+
+    END SUBROUTINE initEdge3DCartTria
+
+    !Get nodes from surface
+    PURE FUNCTION getNodes3DCartTria(self) RESULT(n)
+      IMPLICIT NONE
+
+      CLASS(meshEdge3DCartTria), INTENT(in):: self
+      INTEGER, ALLOCATABLE:: n(:)
+
+      ALLOCATE(n(1:3))
+      n = (/self%n1%n, self%n2%n, self%n3%n/)
+
+    END FUNCTION getNodes3DCartTria
+
+    PURE FUNCTION intersection3DCartTria(self, r0, v0) RESULT(r)
+      IMPLICIT NONE
+
+      CLASS(meshEdge3DCartTria), INTENT(in):: self
+      REAL(8), DIMENSION(1:3), INTENT(in):: r0, v0
+      REAL(8), DIMENSION(1:3):: r
+      REAL(8), DIMENSION(1:3):: rS !base point of surface
+      REAL(8):: d
+
+      rS = (/ self%x(1), self%y(1), self%z(1) /)
+
+      d = DOT_PRODUCT((rS - r0), self%normal)/DOT_PRODUCT(v0, self%normal)
+
+      r = r0 + v0*d
+
+    END FUNCTION intersection3DCartTria
+
+    !Calculates a random position in the surface
+    FUNCTION randPosEdgeTria(self) RESULT(r)
+      USE moduleRandom
+      IMPLICIT NONE
+
+      CLASS(meshEdge3DCartTria), INTENT(in):: self
+      REAL(8):: r(1:3)
+      REAL(8):: xii(1:3)
+      REAL(8):: fPsi(1:3)
+
+      xii = (/random(), random(), 0.D0 /)
+
+      fPsi = self%fPsi(xii)
+      r = (/DOT_PRODUCT(fPsi, self%x), &
+            DOT_PRODUCT(fPsi, self%y), &
+            DOT_PRODUCT(fPsi, self%z)/)
+
+    END FUNCTION randPosEdgeTria
+
+    !Shape functions for triangular surface
+    PURE FUNCTION fPsiEdgeTria(xii) RESULT(fPsi)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: xii(1:3)
+      REAL(8), ALLOCATABLE:: fPsi(:)
+
+      ALLOCATE(fPsi(1:3))
+
+      fPsi(1) = 1.D0 - xii(1) - xii(2)
+      fPsi(2) =        xii(1)
+      fPsi(3) =                 xii(2)
+
+    END FUNCTION fPsiEdgeTria
+
+    !VOLUME FUNCTIONS
+    !TETRA FUNCTIONS
+    !Inits tetrahedron element
+    SUBROUTINE initVolTetra3DCart(self, n, p)
+      USE moduleRefParam
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(out):: self
+      INTEGER, INTENT(in):: n
+      INTEGER, INTENT(in):: p(:)
+      REAL(8), DIMENSION(1:3):: r1, r2, r3, r4 !Positions of each node
+      REAL(8):: volNodes(1:4) !Volume of each node
+
+      self%n  = n
+      self%n1 => mesh%nodes(p(1))%obj
+      self%n2 => mesh%nodes(p(2))%obj
+      self%n3 => mesh%nodes(p(3))%obj
+      self%n4 => mesh%nodes(p(4))%obj
+      !Get element coordinates
+      r1 = self%n1%getCoordinates()
+      r2 = self%n2%getCoordinates()
+      r3 = self%n3%getCoordinates()
+      r4 = self%n4%getCoordinates()
+      self%x  = (/r1(1), r2(1), r3(1), r4(1)/)
+      self%y  = (/r1(2), r2(2), r3(2), r4(2)/)
+      self%z  = (/r1(3), r2(3), r3(3), r4(3)/)
+
+      !Computes the element volume
+      CALL self%calcVol()
+
+      !Assign proportional volume to each node
+      !TODO: Review this to apply to all elements in the future
+      volNodes = self%fPsi((/0.25D0, 0.25D0, 0.25D0/))*self%volume
+      self%n1%v = self%n1%v + volNodes(1)
+      self%n2%v = self%n2%v + volNodes(2)
+      self%n3%v = self%n3%v + volNodes(3)
+      self%n4%v = self%n4%v + volNodes(4)
+
+      self%sigmaVrelMax = sigma_ref/L_ref**2
+
+      CALL OMP_INIT_LOCK(self%lock)
+
+    END SUBROUTINE initVolTetra3DCart
+
+    !Random position in volume tetrahedron
+    FUNCTION randPosVolTetra(self) RESULT(r)
+      USE moduleRandom
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(in):: self
+      REAL(8):: r(1:3)
+      REAL(8):: xii(1:3)
+      REAL(8), ALLOCATABLE:: fPsi(:)
+
+      xii(1) = random(0.D0, 1.D0)
+      xii(2) = random(0.D0, 1.D0)
+      xii(3) = random(0.D0, 1.D0)
+
+      ALLOCATE(fPsi(1:4))
+      fPsi = self%fPsi(xii)
+
+      r(1) = DOT_PRODUCT(fPsi, self%x)
+      r(2) = DOT_PRODUCT(fPsi, self%y)
+      r(3) = DOT_PRODUCT(fPsi, self%z)
+
+    END FUNCTION randPosVolTetra
+
+    !Computes the element volume
+    PURE SUBROUTINE volumeTetra(self)
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(inout):: self
+      REAL(8):: xii(1:3)
+
+      self%volume = 0.D0
+      xii = (/0.25D0, 0.25D0, 0.25D0/)
+      self%volume = self%detJac(xii)
+
+    END SUBROUTINE volumeTetra
+
+    !Computes element functions in point xii
+    PURE FUNCTION fPsiTetra(xii) RESULT(fPsi)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: xii(1:3)
+      REAL(8), ALLOCATABLE:: fPsi(:)
+
+      ALLOCATE(fPsi(1:4))
+
+      fPsi(1) = 1.D0 - xii(1) - xii(2) - xii(3)
+      fPsi(2) =        xii(1)
+      fPsi(3) =                 xii(2)
+      fPsi(4) =                          xii(3)
+
+    END FUNCTION fPsiTetra
+
+    !Derivative element function at coordinates xii
+    PURE FUNCTION dPsiTetra(xii) RESULT(dPsi)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: xii(1:3)
+      REAL(8), ALLOCATABLE:: dPsi(:,:)
+
+      ALLOCATE(dPsi(1:3,1:4))
+
+      dPsi(1,:) = dPsiTetraXii1(xii(2), xii(3))
+      dPsi(2,:) = dPsiTetraXii2(xii(1), xii(3))
+      dPsi(3,:) = dPsiTetraXii3(xii(1), xii(2))
+
+    END FUNCTION dPsiTetra
+
+    !Derivative element function respect to xii1
+    PURE FUNCTION dPsiTetraXii1(xii2, xii3) RESULT(dPsiXii1)
+      IMPLICIT NONE
+      REAL(8), INTENT(in):: xii2, xii3
+      REAL(8):: dPsiXii1(1:4)
+
+      dPsiXii1(1) = -1.D0
+      dPsiXii1(2) =  1.D0
+      dPsiXii1(3) =  0.D0
+      dPsiXii1(4) =  0.D0
+
+    END FUNCTION dPsiTetraXii1
+      
+    !Derivative element function respect to xii2
+    PURE FUNCTION dPsiTetraXii2(xii1, xii3) RESULT(dPsiXii2)
+      IMPLICIT NONE
+      REAL(8), INTENT(in):: xii1, xii3
+      REAL(8):: dPsiXii2(1:4)
+
+      dPsiXii2(1) = -1.D0
+      dPsiXii2(2) =  0.D0
+      dPsiXii2(3) =  1.D0
+      dPsiXii2(4) =  0.D0
+
+    END FUNCTION dPsiTetraXii2
+      
+    !Derivative element function respect to xii3
+    PURE FUNCTION dPsiTetraXii3(xii1, xii2) RESULT(dPsiXii3)
+      IMPLICIT NONE
+      REAL(8), INTENT(in):: xii1, xii2
+      REAL(8):: dPsiXii3(1:4)
+
+      dPsiXii3(1) = -1.D0
+      dPsiXii3(2) =  0.D0
+      dPsiXii3(3) =  0.D0
+      dPsiXii3(4) =  1.D0
+
+    END FUNCTION dPsiTetraXii3
+    
+    !Computes the derivatives in global coordinates
+    PURE SUBROUTINE partialDerTetra(self, dPsi, dx, dy, dz)
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:, 1:)
+      REAL(8), INTENT(out), DIMENSION(1:3):: dx, dy, dz
+
+      dx(1) = DOT_PRODUCT(dPsi(1,:), self%x)
+      dx(2) = DOT_PRODUCT(dPsi(2,:), self%x)
+      dx(3) = DOT_PRODUCT(dPsi(3,:), self%x)
+
+      dy(1) = DOT_PRODUCT(dPsi(1,:), self%y)
+      dy(2) = DOT_PRODUCT(dPsi(2,:), self%y)
+      dy(3) = DOT_PRODUCT(dPsi(3,:), self%y)
+
+      dz(1) = DOT_PRODUCT(dPsi(1,:), self%z)
+      dz(2) = DOT_PRODUCT(dPsi(2,:), self%z)
+      dz(3) = DOT_PRODUCT(dPsi(3,:), self%z)
+
+    END SUBROUTINE partialDerTetra
+
+    PURE FUNCTION elemKTetra(self) RESULT(ke)
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(in):: self
+      REAL(8):: xii(1:3)
+      REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
+      REAL(8):: ke(1:4,1:4)
+      REAL(8):: invJ(1:3,1:3), detJ
+
+      !TODO: One point Gauss integral. Upgrade when possible
+      ke = 0.D0
+      xii = (/ 0.25D0, 0.25D0, 0.25D0 /)
+      dPsi = self%dPsi(xii)
+      detJ = self%detJac(xii, dPsi)
+      invJ = self%invJac(xii, dPsi)
+      fPsi = self%fPsi(xii)
+      ke   = ke + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*1.D0/detJ
+
+    END FUNCTION elemKTetra
+
+    PURE FUNCTION elemFTetra(self, source) RESULT(localF)
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(in):: self
+      REAL(8), INTENT(in):: source(1:)
+      REAL(8), ALLOCATABLE:: localF(:)
+      REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
+      REAL(8):: xii(1:3)
+      REAL(8):: detJ, f
+
+      ALLOCATE(localF(1:4))
+      localF = 0.D0
+      xii    = 0.D0
+      !TODO: One point Gauss integral. Upgrade when possible
+      xii = (/ 0.25D0, 0.25D0, 0.25D0 /)
+      dPsi = self%dPsi(xii)
+      detJ = self%detJac(xii, dPsi)
+      fPsi = self%fPsi(xii)
+      f    = DOT_PRODUCT(fPsi, source)
+      localF = localF + f*fPsi*1.D0*detJ
+
+    END FUNCTION elemFTetra
+
+    PURE FUNCTION weightTetra(xii) RESULT(w)
+      IMPLICIT NONE
+      REAL(8), INTENT(in):: xii(1:3)
+      REAL(8), ALLOCATABLE:: w(:)
+
+      w = fPsiTetra(xii)
+
+    END FUNCTION weightTetra
+
+    PURE FUNCTION insideTetra(xi) RESULT(ins)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: xi(1:3)
+      LOGICAL:: ins
+
+      ins =        xi(1)                 >= 0.D0 .AND. &
+                           xi(2)         >= 0.D0 .AND. &
+                                   xi(3) >= 0.D0 .AND. &
+            1.D0 - xi(1) - xi(2) - xi(3) >= 0.D0
+      
+    END FUNCTION insideTetra
+
+    SUBROUTINE scatterTetra(self, part)
+      USE moduleOutput
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(in):: self
+      CLASS(particle), INTENT(in):: part
+      TYPE(outputNode), POINTER:: vertex
+      REAL(8):: w_p(1:4)
+      REAL(8):: tensorS(1:3, 1:3)
+
+      w_p = self%weight(part%xi)
+      tensorS = outerProduct(part%v, part%v)
+
+      vertex => self%n1%output(part%sp)
+      vertex%den          = vertex%den          + part%weight*w_p(1)
+      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
+      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
+
+      vertex => self%n2%output(part%sp)
+      vertex%den          = vertex%den          + part%weight*w_p(2)
+      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
+      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
+
+      vertex => self%n3%output(part%sp)
+      vertex%den          = vertex%den          + part%weight*w_p(3)
+      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(3)*part%v(:)
+      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(3)*tensorS
+
+      vertex => self%n4%output(part%sp)
+      vertex%den          = vertex%den          + part%weight*w_p(4)
+      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(4)*part%v(:)
+      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(4)*tensorS
+
+    END SUBROUTINE scatterTetra
+
+    PURE FUNCTION gatherEFTetra(self, xi) RESULT(EF)
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: dPsi(1:3, 1:4)
+      REAL(8):: dPsiR(1:3, 1:4)
+      REAL(8):: invJ(1:3, 1:3), detJ
+      REAL(8):: phi(1:4)
+      REAL(8):: EF(1:3)
+
+      phi = (/self%n1%emData%phi, &
+              self%n2%emData%phi, &
+              self%n3%emData%phi, &
+              self%n4%emData%phi /)
+
+      dPsi  = self%dPsi(xi)
+      detJ  = self%detJac(xi, dPsi)
+      invJ  = self%invJac(xi, dPsi)
+      dPsiR =  MATMUL(invJ, dPsi)/detJ
+      EF(1) = -DOT_PRODUCT(dPsiR(1,:), phi)
+      EF(2) = -DOT_PRODUCT(dPsiR(2,:), phi)
+      EF(3) = -DOT_PRODUCT(dPsiR(3,:), phi)
+
+    END FUNCTION gatherEFTetra
+
+    PURE FUNCTION getNodesTetra(self) RESULT(n)
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(in):: self
+      INTEGER, ALLOCATABLE:: n(:)
+
+      ALLOCATE(n(1:4))
+      n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
+
+    END FUNCTION getNodesTetra
+
+    PURE FUNCTION phy2logTetra(self,r) RESULT(xi)
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(in):: self
+      REAL(8), INTENT(in):: r(1:3)
+      REAL(8):: xi(1:3)
+      REAL(8):: invJ(1:3, 1:3), detJ
+      REAL(8):: deltaR(1:3)
+      REAL(8):: dPsi(1:3, 1:4)
+
+      xi     = 0.D0
+      deltaR = (/r(1) - self%x(1), r(2) - self%y(1), r(3) - self%z(1) /)
+      dPsi   = self%dPsi(xi)
+      invJ   = self%invJac(xi, dPsi)
+      detJ   = self%detJac(xi, dPsi)
+      xi     = MATMUL(invJ, deltaR)/detJ
+
+    END FUNCTION phy2logTetra
+    
+    SUBROUTINE nextElementTetra(self, xi, nextElement)
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      CLASS(*), POINTER, INTENT(out):: nextElement
+      REAL(8):: xiArray(1:4)
+      INTEGER:: nextInt
+
+      !TODO: Review when connectivity
+      xiArray = (/ xi(3), xi(2), 1.D0 - xi(1) - xi(2) - xi(3), xi(1) /)
+      nextInt = MINLOC(xiArray, 1)
+      NULLIFY(nextElement)
+      SELECT CASE(nextInt)
+      CASE (1)
+        nextElement => self%e1
+      CASE (2)
+        nextElement => self%e2
+      CASE (3)
+        nextElement => self%e3
+      CASE (4)
+        nextElement => self%e4
+      END SELECT
+
+    END SUBROUTINE nextElementTetra
+
+    !COMMON FUNCTIONS FOR CARTESIAN VOLUME ELEMENTS IN 3D
+    !Computes element Jacobian determinant
+    PURE FUNCTION detJ3DCart(self, xi, dPsi_in) RESULT(dJ)
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCart), INTENT(in)::self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:, 1:)
+      REAL(8):: dJ
+      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8):: dx(1:3), dy(1:3), dz(1:3)
+
+      IF (PRESENT(dPsi_in)) THEN
+        dPsi = dPsi_in
+
+      ELSE
+        dPsi = self%dPsi(xi)
+
+      END IF
+
+      CALL self%partialDer(dPsi, dx, dy, dz)
+      dJ =   dx(1)*(dy(2)*dz(3) - dy(3)*dz(2)) &
+           - dx(2)*(dy(1)*dz(3) - dy(3)*dz(1)) &
+           + dx(3)*(dy(1)*dz(2) - dy(2)*dz(1))
+
+    END FUNCTION detJ3DCart
+
+    PURE FUNCTION invJ3DCart(self,xi,dPsi_in) RESULT(invJ)
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCart), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
+      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8), DIMENSION(1:3):: dx, dy, dz
+      REAL(8):: invJ(1:3,1:3)
+
+      IF(PRESENT(dPsi_in)) THEN
+        dPsi=dPsi_in
+
+      ELSE
+        dPsi = self%dPsi(xi)
+
+      END IF
+
+      CALL self%partialDer(dPsi, dx, dy, dz)
+      invJ(1,1) =  (dy(2)*dz(3) - dy(3)*dz(2))
+      invJ(1,2) = -(dy(1)*dz(3) - dy(3)*dz(1))
+      invJ(1,3) =  (dy(1)*dz(2) - dy(2)*dz(1))
+
+      invJ(2,1) = -(dx(2)*dz(3) - dx(3)*dz(2))
+      invJ(2,2) =  (dx(1)*dz(3) - dx(3)*dz(1))
+      invJ(2,3) = -(dx(1)*dz(2) - dx(2)*dz(1))
+
+      invJ(3,1) = -(dx(2)*dy(3) - dx(3)*dy(2))
+      invJ(3,2) =  (dx(1)*dy(3) - dx(3)*dy(1))
+      invJ(3,3) = -(dx(1)*dy(2) - dx(2)*dy(1))
+
+    END FUNCTION invJ3DCart
+
+END MODULE moduleMesh3DCart
+
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90 b/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
new file mode 100644
index 0000000..a2197a4
--- /dev/null
+++ b/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
@@ -0,0 +1,470 @@
+MODULE moduleMesh3DCartRead
+  USE moduleMesh
+  USE moduleMesh3DCart
+
+  TYPE, EXTENDS(meshGeneric):: mesh3DCartGeneric
+    CONTAINS
+      PROCEDURE, PASS:: init     => init3DCartMesh
+      PROCEDURE, PASS:: readMesh => readMesh3DCartGmsh
+
+  END TYPE
+
+  INTERFACE connect
+    MODULE PROCEDURE connectedVolVol, connectedVolEdge
+
+  END INTERFACE connect
+
+  CONTAINS
+    !Init mesh
+    SUBROUTINE init3DCartMesh(self, meshFormat)
+      USE moduleMesh
+      USE moduleErrors
+      IMPLICIT NONE
+
+      CLASS(mesh3DCartGeneric), INTENT(out):: self
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: meshFormat
+
+      SELECT CASE(meshFormat)
+      CASE ("gmsh")
+        self%printOutput => printOutputGmsh
+        self%printColl   => printCollGmsh
+        self%printEM     => printEMGmsh
+
+      CASE DEFAULT
+        CALL criticalError("Mesh type " // meshFormat // " not supported.", "init3DCartMesh")
+
+      END SELECT
+
+    END SUBROUTINE init3DCartMesh
+
+    !Read mesh from gmsh file
+    SUBROUTINE readMesh3DCartGmsh(self, filename)
+      USE moduleBoundary
+      IMPLICIT NONE
+
+      CLASS(mesh3DCartGeneric), INTENT(inout):: self
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
+      REAL(8):: x, y, z
+      INTEGER:: p(1:4)
+      INTEGER:: e = 0, et = 0, n = 0, eTemp = 0, elemType = 0, bt = 0
+      INTEGER:: totalNumElem
+      INTEGER:: boundaryType
+
+      !Read mesh
+      OPEN(10, FILE=TRIM(filename))
+      !Skip header
+      READ(10, *)
+      READ(10, *)
+      READ(10, *)
+      READ(10, *)
+      !Read number of nodes
+      READ(10, *) self%numNodes
+      !Allocate required matrices and vectors
+      ALLOCATE(self%nodes(1:self%numNodes))
+      ALLOCATE(self%K(1:self%numNodes, 1:self%numNodes))
+      ALLOCATE(self%IPIV(1:self%numNodes, 1:self%numNodes))
+      self%K = 0.D0
+      self%IPIV = 0
+
+      !Read node cartesian coordinates (x = x, y = y, z = z)
+      DO e = 1, self%numNodes
+        READ(10, *) n, x, y, z
+        ALLOCATE(meshNode3Dcart::self%nodes(n)%obj)
+        CALL self%nodes(n)%obj%init(n, (/x, y, z /))
+
+      END DO
+
+      !Skip comments
+      READ(10, *)
+      READ(10, *)
+
+      !Reads total number of elements
+      READ(10, *) totalNumElem
+      !conts edges and volume elements
+      self%numEdges = 0
+      DO e = 1, totalNumElem
+        READ(10, *) eTemp, elemType
+        IF (elemType == 2) THEN
+          self%numEdges = e
+
+        END IF
+
+      END DO
+
+      !Substract the number of edges to the total number of elements to obtain the number
+      !of volume elements
+      self%numVols = totalNumElem - self%numEdges
+
+      !Allocate required arrays
+      ALLOCATE(self%edges(1:self%numEdges))
+      ALLOCATE(self%vols(1:self%numVols))
+
+      !Go back to the beggining to read each specific element
+      DO e = 1, totalNumElem
+        BACKSPACE(10)
+
+      END DO
+
+      !Reads surfaces
+      DO e = 1, self%numEdges
+        READ(10, *) n, elemType
+        BACKSPACE(10)
+
+        SELECT CASE(elemType)
+        CASE(2)
+          !Triangular surface
+          READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1:3)
+          bt = getBoundaryID(boundaryType)
+
+          ALLOCATE(meshEdge3DCartTria:: self%edges(e)%obj)
+
+          CALL self%edges(e)%obj%init(n, p(1:3), bt, boundaryType)
+
+        END SELECT
+
+      END DO
+
+      !Read and initialize volumes
+      DO e = 1, self%numVols
+        READ(10, *) n, elemType
+        BACKSPACE(10)
+
+        SELECT CASE(elemType)
+        CASE(4)
+          !Tetrahedron element
+          READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:4)
+          ALLOCATE(meshVol3DCartTetra::  self%vols(e)%obj)
+          CALL self%vols(e)%obj%init(n - self%numEdges, p(1:4))
+
+        END SELECT
+
+      END DO
+
+      CLOSE(10)
+
+      !Build connectivy between elements
+      DO e = 1, self%numVols
+        !Connectivity between volumes
+        DO et = 1, self%numVols
+          IF (e /= et) THEN
+            CALL connected(self%vols(e)%obj, self%vols(et)%obj)
+
+          END IF
+
+        END DO
+
+        !Connectivity between vols and surfaces
+        DO et = 1, self%numEdges
+          CALL connected(self%vols(e)%obj, self%edges(et)%obj)
+
+        END DO
+
+        !Constructs the global K matrix
+        CALL constructGlobalK(self%K, self%vols(e)%obj)
+        
+      END DO
+
+    END SUBROUTINE readMesh3DCartGmsh
+
+    !Selects type of elements to build connection
+    SUBROUTINE connectedVolVol(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol), INTENT(inout):: elemA
+      CLASS(meshVol), INTENT(inout):: elemB
+
+      SELECT TYPE(elemA)
+      TYPE IS(meshVol3DCartTetra)
+        !Element A is a tetrahedron
+        SELECT TYPE(elemB)
+        TYPE IS(meshVol3DCartTetra)
+          !Element B is a tetrahedron
+          CALL connectedTetraTetra(elemA, elemB)
+
+        END SELECT
+
+      END SELECT
+
+    END SUBROUTINE connectedVolVol
+
+
+    SUBROUTINE connectedVolEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol),  INTENT(inout):: elemA
+      CLASS(meshEdge), INTENT(inout):: elemB
+
+      SELECT TYPE(elemB)
+      CLASS IS(meshEdge3DCartTria)
+        SELECT TYPE(elemA)
+        TYPE IS(meshVol3DCartTetra)
+          !Element A is a tetrahedron
+          CALL connectedTetraEdge(elemA, elemB)
+
+        END SELECT
+
+      END SELECT
+
+    END SUBROUTINE connectedVolEdge
+
+    SUBROUTINE connectedTetraTetra(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemB
+
+      !TODO: Try to find a much clear way to do this
+
+      !Check surface 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     ((elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n3%n) .OR. &
+                (elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n2%n) .OR. &
+                (elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n1%n)) THEN
+
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF ((elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n4%n) .OR. &
+                (elemA%n1%n == elemB%n4%n .AND. &
+                 elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n3%n) .OR. &
+                (elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n2%n == elemB%n4%n .AND. &
+                 elemA%n3%n == elemB%n2%n)) THEN
+
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF ((elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n4%n) .OR. &
+                (elemA%n1%n == elemB%n4%n .AND. &
+                 elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n2%n) .OR. &
+                (elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n2%n == elemB%n4%n .AND. &
+                 elemA%n3%n == elemB%n1%n)) THEN
+
+          elemA%e1 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF ((elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n4%n) .OR. &
+                (elemA%n1%n == elemB%n4%n .AND. &
+                 elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n3%n) .OR. &
+                (elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n2%n == elemB%n4%n .AND. &
+                 elemA%n3%n == elemB%n1%n)) THEN
+
+          elemA%e1 => elemB
+          elemB%e4 => elemA
+
+        END IF
+
+      END IF
+
+      !Check surface 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     ((elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n3%n) .OR. &
+                (elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n2%n) .OR. &
+                (elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n1%n)) THEN
+
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF ((elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n4%n) .OR. &
+                (elemA%n1%n == elemB%n4%n .AND. &
+                 elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n3%n) .OR. &
+                (elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n2%n == elemB%n4%n .AND. &
+                 elemA%n4%n == elemB%n2%n)) THEN
+
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF ((elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n4%n) .OR. &
+                (elemA%n1%n == elemB%n4%n .AND. &
+                 elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n2%n) .OR. &
+                (elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n2%n == elemB%n4%n .AND. &
+                 elemA%n4%n == elemB%n1%n)) THEN
+
+          elemA%e2 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF ((elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n4%n) .OR. &
+                (elemA%n1%n == elemB%n4%n .AND. &
+                 elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n3%n) .OR. &
+                (elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n2%n == elemB%n4%n .AND. &
+                 elemA%n4%n == elemB%n1%n)) THEN
+
+          elemA%e2 => elemB
+          elemB%e4 => elemA
+
+        END IF
+
+      END IF
+
+      !Check surface 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     ((elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n3%n) .OR. &
+                (elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n2%n) .OR. &
+                (elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n1%n)) THEN
+
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF ((elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n4%n) .OR. &
+                (elemA%n2%n == elemB%n4%n .AND. &
+                 elemA%n3%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n3%n) .OR. &
+                (elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n4%n .AND. &
+                 elemA%n4%n == elemB%n2%n)) THEN
+
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF ((elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n4%n) .OR. &
+                (elemA%n2%n == elemB%n4%n .AND. &
+                 elemA%n3%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n2%n) .OR. &
+                (elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n4%n .AND. &
+                 elemA%n4%n == elemB%n1%n)) THEN
+
+          elemA%e3 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF ((elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n4%n) .OR. &
+                (elemA%n2%n == elemB%n4%n .AND. &
+                 elemA%n3%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n3%n) .OR. &
+                (elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n4%n .AND. &
+                 elemA%n4%n == elemB%n1%n)) THEN
+
+          elemA%e3 => elemB
+          elemB%e4 => elemA
+
+        END IF
+
+      END IF
+      !Check surface 4
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     ((elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n3%n) .OR. &
+                (elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n2%n) .OR. &
+                (elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n1%n)) THEN
+
+          elemA%e4 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF ((elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n4%n) .OR. &
+                (elemA%n1%n == elemB%n4%n .AND. &
+                 elemA%n3%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n3%n) .OR. &
+                (elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n4%n .AND. &
+                 elemA%n4%n == elemB%n2%n)) THEN
+
+          elemA%e4 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF ((elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n4%n) .OR. &
+                (elemA%n1%n == elemB%n4%n .AND. &
+                 elemA%n3%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n2%n) .OR. &
+                (elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n4%n .AND. &
+                 elemA%n4%n == elemB%n1%n)) THEN
+
+          elemA%e4 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF ((elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n4%n) .OR. &
+                (elemA%n1%n == elemB%n4%n .AND. &
+                 elemA%n3%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n3%n) .OR. &
+                (elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n4%n .AND. &
+                 elemA%n4%n == elemB%n1%n)) THEN
+
+          elemA%e4 => elemB
+          elemB%e4 => elemA
+
+        END IF
+
+      END IF
+
+    END SUBROUTINE connectedTetraTetra
+
+    SUBROUTINE connectedTetraEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemA
+      CLASS(meshEdge3DCartTria), INTENT(inout), TARGET:: elemB
+
+    END SUBROUTINE connectedTetraEdge
+
+    SUBROUTINE constructGlobalK(K, elem)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(inout):: K(1:, 1:)
+      CLASS(meshVol), INTENT(in):: elem
+      REAL(8), ALLOCATABLE:: localK(:,:)
+      INTEGER:: nNodes, i, j
+      INTEGER, ALLOCATABLE:: n(:)
+
+    END SUBROUTINE constructGlobalK
+
+END MODULE moduleMesh3DCartRead
diff --git a/src/modules/mesh/makefile b/src/modules/mesh/makefile
index 0eeaa23..9849ba9 100644
--- a/src/modules/mesh/makefile
+++ b/src/modules/mesh/makefile
@@ -1,4 +1,7 @@
-all: moduleMesh.o 2DCyl.o 2DCart.o 1DRad.o 1DCart.o
+all: moduleMesh.o moduleMeshBoundary.o 3DCart.o 2DCyl.o 2DCart.o 1DRad.o 1DCart.o
+
+3DCart.o:
+	$(MAKE) -C 3DCart all
 
 2DCyl.o:
 	$(MAKE) -C 2DCyl all
@@ -15,3 +18,5 @@ all: moduleMesh.o 2DCyl.o 2DCart.o 1DRad.o 1DCart.o
 moduleMesh.o: moduleMesh.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
+moduleMeshBoundary.o: moduleMesh.o moduleMeshBoundary.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 5158135..f5f7b47 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -68,13 +68,15 @@ MODULE moduleMesh
     !Physical surface for the edge
     INTEGER:: physicalSurface
     CONTAINS
-      PROCEDURE(initEdge_interface),     DEFERRED, PASS:: init
-      PROCEDURE(getNodesEdge_interface), DEFERRED, PASS:: getNodes
-      PROCEDURE(randPosEdge_interface),  DEFERRED, PASS:: randPos
+      PROCEDURE(initEdge_interface),         DEFERRED, PASS:: init
+      PROCEDURE(getNodesEdge_interface),     DEFERRED, PASS:: getNodes
+      PROCEDURE(intersectionEdge_interface), DEFERRED, PASS:: intersection
+      PROCEDURE(randPosEdge_interface),      DEFERRED, PASS:: randPos
 
   END TYPE meshEdge
 
   ABSTRACT INTERFACE
+    !Inits the edge parameters
     SUBROUTINE initEdge_interface(self, n, p, bt, physicalSurface)
       IMPORT:: meshEdge
 
@@ -86,13 +88,24 @@ MODULE moduleMesh
 
     END SUBROUTINE initEdge_interface
 
+    !Get nodes index from node
     PURE FUNCTION getNodesEdge_interface(self) RESULT(n)
       IMPORT:: meshEdge
       CLASS(meshEdge), INTENT(in):: self
       INTEGER, ALLOCATABLE:: n(:)
 
-    END FUNCTION
+    END FUNCTION getNodesEdge_interface
 
+    !Returns the intersecction between an edge and a line defined by point r0 and vector v0
+    PURE FUNCTION intersectionEdge_interface(self, r0, v0) RESULT(r)
+      IMPORT:: meshEdge
+      CLASS(meshEdge), INTENT(in):: self
+      REAL(8), INTENT(in), DIMENSION(1:3):: r0, v0
+      REAL(8):: r(1:3)
+
+    END FUNCTION intersectionEdge_interface
+
+    !Returns a random position in the edge
     FUNCTION randPosEdge_interface(self) RESULT(r)
       IMPORT:: meshEdge
       CLASS(meshEdge), INTENT(in):: self
@@ -391,11 +404,8 @@ MODULE moduleMesh
       IMPLICIT NONE
 
       CLASS(meshVol), INTENT(inout):: self
-      INTEGER:: modCollisions !Remain of current iteration and everyCollisions
-      INTEGER:: iterToCollisions !Number of iterations from current to next collision
       INTEGER:: nPart !Number of particles inside the cell
       REAL(8):: pMax !Maximum probability of collision
-      INTEGER:: nCollIter !Number of collisions to be computed in this iteration
       INTEGER:: rnd !random index
       TYPE(particle), POINTER:: part_i, part_j
       INTEGER:: n !collision
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
new file mode 100644
index 0000000..97602f4
--- /dev/null
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -0,0 +1,121 @@
+!moduleMeshBoundary: Boundary functions
+MODULE moduleMeshBoundary
+  USE moduleMesh
+
+  CONTAINS
+    SUBROUTINE reflection(edge, part)
+      USE moduleCaseParam
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+      !rp  = intersection between particle and edge
+      !rpp = final position of particle
+      !vpp = final velocity of particle
+      REAL(8), DIMENSION(1:3):: rp, rpp, vpp
+      REAL(8):: taup !time step for reflecting process
+
+      !Reflect particle velocity
+      vpp = part%v - 2.D0*DOT_PRODUCT(part%v, edge%normal)*edge%normal
+
+      !Computes the intersection between particle and surface
+      rp = edge%intersection(part%r, part%v)
+
+      !Computes the reflection time step
+      taup = NORM2(part%r - rp)*tau(part%sp)
+
+      !New position of particle
+      rpp = rp + vpp*taup
+
+      !assign new parameters to particle
+      part%r    = rpp
+      part%v    = vpp
+      part%n_in = .TRUE.
+
+    END SUBROUTINE reflection
+
+    !Absoption in a surface
+    SUBROUTINE absorption(edge, part)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+      REAL(8):: rpp(1:3) !Position of particle projected to the edge
+      REAL(8):: d !Distance from particle to edge
+
+      rpp = edge%intersection(part%r, part%v)
+
+      d = NORM2(rpp - part%r)
+
+      IF (d >= 0.D0) THEN
+        part%weight = part%weight/d
+
+      END IF
+
+      !Assign new position to particle
+      part%r = rpp
+      !Remove particle from the domain
+      part%n_in = .FALSE.
+
+      !Scatter particle in associated volume
+      IF (ASSOCIATED(edge%e1)) THEN
+        CALL edge%e1%scatter(part)
+
+      ELSE
+        CALL edge%e2%scatter(part)
+
+      END IF
+
+    END SUBROUTINE absorption
+
+    !Transparent boundary condition
+    SUBROUTINE transparent(edge, part)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+
+      !Removes particle from domain
+      part%n_in = .FALSE.
+
+    END SUBROUTINE transparent
+
+    !Wall with temperature
+    SUBROUTINE wallTemperature(edge, part)
+      USE moduleSpecies
+      USE moduleBoundary
+      USE moduleRandom
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+      INTEGER:: i
+
+      !Modifies particle velocity according to wall temperature
+      SELECT TYPE(bound => edge%boundary%bTypes(part%sp)%obj)
+      TYPE IS(boundaryWallTemperature)
+        DO i = 1, 3
+          part%v(i) = part%v(i) + bound%vTh*randomMaxwellian()
+
+        END DO
+          
+      END SELECT
+
+      CALL reflection(edge, part)
+
+    END SUBROUTINE wallTemperature
+
+    !Symmetry axis. Dummy function
+    SUBROUTINE symmetryAxis(edge, part)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+
+    END SUBROUTINE symmetryAxis
+
+END MODULE moduleMeshBoundary
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index 924c1b6..a70bfb6 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -277,7 +277,7 @@ MODULE moduleCollisions
       REAL(8), INTENT(in):: sigmaVrelMax
       REAL(8), INTENT(inout):: sigmaVrelMaxNew
       TYPE(particle), INTENT(inout), TARGET:: part_i, part_j
-      TYPE(particle), POINTER:: electron, neutral
+      TYPE(particle), POINTER:: electron => NULL(), neutral => NULL()
       TYPE(particle), POINTER:: newElectron
       REAL(8):: vRel, eRel
       REAL(8):: sigmaVrel
@@ -408,7 +408,7 @@ MODULE moduleCollisions
       REAL(8), INTENT(in):: sigmaVrelMax
       REAL(8), INTENT(inout):: sigmaVrelMaxNew
       TYPE(particle), INTENT(inout), TARGET:: part_i, part_j
-      TYPE(particle), POINTER:: electron, ion
+      TYPE(particle), POINTER:: electron => NULL(), ion => NULL()
       REAL(8):: vRel, eRel
       REAL(8):: sigmaVrel
       REAL(8), DIMENSION(1:3):: vp_i

From 1f077eeb91d5042ac18620611091f76ec424b4c7 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sat, 6 Mar 2021 19:19:46 +0100
Subject: [PATCH 008/203] Modifications to cases to fix minor issues. Work in
 having a 1D Cathode model working

---
 runs/1D_Cathode/mesh.geo           |   4 +-
 runs/1D_Cathode/mesh.msh           | 206 ++++++++---------------------
 runs/ALPHIE_Grid/inputDiffTau.json |   4 +-
 runs/ALPHIE_Grid/inputSameTau.json |   4 +-
 4 files changed, 59 insertions(+), 159 deletions(-)

diff --git a/runs/1D_Cathode/mesh.geo b/runs/1D_Cathode/mesh.geo
index 9b7882f..657bb89 100644
--- a/runs/1D_Cathode/mesh.geo
+++ b/runs/1D_Cathode/mesh.geo
@@ -1,7 +1,7 @@
-Lcell = 0.00005;
+Lcell = 0.00004;
 
 x0 = 0.001;
-xf = x0 + 100.0*Lcell;
+xf = x0 + 50.0*Lcell;
 
 Point(1) = {x0, 0, 0, 1};
 Point(2) = {xf, 0, 0, 1};
diff --git a/runs/1D_Cathode/mesh.msh b/runs/1D_Cathode/mesh.msh
index 01896a4..4f990d7 100644
--- a/runs/1D_Cathode/mesh.msh
+++ b/runs/1D_Cathode/mesh.msh
@@ -2,111 +2,61 @@ $MeshFormat
 2.2 0 8
 $EndMeshFormat
 $Nodes
-101
+51
 1 0.001 0 0
-2 0.006 0 0
-3 0.001049999999999922 0 0
-4 0.001099999999999802 0 0
-5 0.001149999999999681 0 0
-6 0.001199999999999566 0 0
-7 0.001249999999999517 0 0
-8 0.001299999999999476 0 0
-9 0.001349999999999369 0 0
-10 0.001399999999999249 0 0
-11 0.001449999999999129 0 0
-12 0.001499999999999008 0 0
-13 0.001549999999998888 0 0
-14 0.001599999999998768 0 0
-15 0.001649999999998647 0 0
-16 0.001699999999998527 0 0
-17 0.001749999999998466 0 0
-18 0.001799999999998433 0 0
-19 0.001849999999998335 0 0
-20 0.001899999999998213 0 0
-21 0.001949999999998025 0 0
-22 0.001999999999997796 0 0
-23 0.002049999999997642 0 0
-24 0.00209999999999762 0 0
-25 0.002149999999997608 0 0
-26 0.002199999999997596 0 0
-27 0.0022499999999975 0 0
-28 0.002299999999997271 0 0
-29 0.002349999999997042 0 0
-30 0.002399999999996814 0 0
-31 0.002449999999996585 0 0
-32 0.002499999999996357 0 0
-33 0.002549999999996128 0 0
-34 0.002599999999995899 0 0
-35 0.002649999999995671 0 0
-36 0.002699999999995442 0 0
-37 0.002749999999995214 0 0
-38 0.002799999999995083 0 0
-39 0.002849999999995071 0 0
-40 0.002899999999995059 0 0
-41 0.002949999999995048 0 0
-42 0.002999999999994917 0 0
-43 0.003049999999994688 0 0
-44 0.00309999999999446 0 0
-45 0.003149999999994234 0 0
-46 0.003199999999994141 0 0
-47 0.003249999999994129 0 0
-48 0.003299999999994118 0 0
-49 0.003349999999994092 0 0
-50 0.003399999999993934 0 0
-51 0.003449999999993706 0 0
-52 0.003499999999993562 0 0
-53 0.003549999999993682 0 0
-54 0.003599999999993887 0 0
-55 0.003649999999994092 0 0
-56 0.003699999999994192 0 0
-57 0.00374999999999418 0 0
-58 0.003799999999994167 0 0
-59 0.003849999999994237 0 0
-60 0.003899999999994438 0 0
-61 0.003949999999994644 0 0
-62 0.00399999999999485 0 0
-63 0.004049999999995054 0 0
-64 0.004099999999995259 0 0
-65 0.004149999999995465 0 0
-66 0.00419999999999567 0 0
-67 0.004249999999995671 0 0
-68 0.004299999999995659 0 0
-69 0.004349999999995646 0 0
-70 0.004399999999995811 0 0
-71 0.004449999999996016 0 0
-72 0.004499999999996221 0 0
-73 0.004549999999996427 0 0
-74 0.004599999999996631 0 0
-75 0.004649999999996763 0 0
-76 0.00469999999999675 0 0
-77 0.004749999999996738 0 0
-78 0.004799999999996725 0 0
-79 0.004849999999996713 0 0
-80 0.004899999999996844 0 0
-81 0.004949999999997049 0 0
-82 0.004999999999997254 0 0
-83 0.005049999999997459 0 0
-84 0.005099999999997664 0 0
-85 0.005149999999997869 0 0
-86 0.005199999999998074 0 0
-87 0.005249999999998279 0 0
-88 0.005299999999998485 0 0
-89 0.00534999999999869 0 0
-90 0.005399999999998895 0 0
-91 0.005449999999998944 0 0
-92 0.005499999999998729 0 0
-93 0.005549999999998499 0 0
-94 0.0055999999999984 0 0
-95 0.005649999999998564 0 0
-96 0.005699999999998769 0 0
-97 0.005749999999998974 0 0
-98 0.005799999999999179 0 0
-99 0.005849999999999384 0 0
-100 0.00589999999999959 0 0
-101 0.005949999999999795 0 0
+2 0.003 0 0
+3 0.001039999999999907 0 0
+4 0.001079999999999856 0 0
+5 0.001119999999999805 0 0
+6 0.001159999999999754 0 0
+7 0.001199999999999703 0 0
+8 0.00123999999999958 0 0
+9 0.001279999999999312 0 0
+10 0.001319999999999065 0 0
+11 0.001359999999998992 0 0
+12 0.001399999999998941 0 0
+13 0.00143999999999889 0 0
+14 0.001479999999998839 0 0
+15 0.001519999999998928 0 0
+16 0.001559999999998907 0 0
+17 0.001599999999998856 0 0
+18 0.001639999999998806 0 0
+19 0.001679999999998584 0 0
+20 0.001719999999998316 0 0
+21 0.001759999999998048 0 0
+22 0.00179999999999778 0 0
+23 0.001839999999997513 0 0
+24 0.001879999999997399 0 0
+25 0.001919999999997348 0 0
+26 0.001959999999997377 0 0
+27 0.001999999999997543 0 0
+28 0.002039999999997709 0 0
+29 0.002079999999997875 0 0
+30 0.002119999999998041 0 0
+31 0.002159999999998208 0 0
+32 0.002199999999998373 0 0
+33 0.002239999999998539 0 0
+34 0.002279999999998706 0 0
+35 0.002319999999998872 0 0
+36 0.002359999999998777 0 0
+37 0.002399999999998509 0 0
+38 0.002439999999998523 0 0
+39 0.002479999999998689 0 0
+40 0.002519999999998855 0 0
+41 0.002559999999999021 0 0
+42 0.002599999999999035 0 0
+43 0.002639999999998767 0 0
+44 0.002679999999998672 0 0
+45 0.002719999999998838 0 0
+46 0.002759999999999004 0 0
+47 0.00279999999999917 0 0
+48 0.002839999999999336 0 0
+49 0.002879999999999502 0 0
+50 0.002919999999999668 0 0
+51 0.002959999999999834 0 0
 $EndNodes
 $Elements
-102
+52
 1 15 2 1 1 1
 2 15 2 2 2 2
 3 1 2 1 1 1 3
@@ -158,55 +108,5 @@ $Elements
 49 1 2 1 1 48 49
 50 1 2 1 1 49 50
 51 1 2 1 1 50 51
-52 1 2 1 1 51 52
-53 1 2 1 1 52 53
-54 1 2 1 1 53 54
-55 1 2 1 1 54 55
-56 1 2 1 1 55 56
-57 1 2 1 1 56 57
-58 1 2 1 1 57 58
-59 1 2 1 1 58 59
-60 1 2 1 1 59 60
-61 1 2 1 1 60 61
-62 1 2 1 1 61 62
-63 1 2 1 1 62 63
-64 1 2 1 1 63 64
-65 1 2 1 1 64 65
-66 1 2 1 1 65 66
-67 1 2 1 1 66 67
-68 1 2 1 1 67 68
-69 1 2 1 1 68 69
-70 1 2 1 1 69 70
-71 1 2 1 1 70 71
-72 1 2 1 1 71 72
-73 1 2 1 1 72 73
-74 1 2 1 1 73 74
-75 1 2 1 1 74 75
-76 1 2 1 1 75 76
-77 1 2 1 1 76 77
-78 1 2 1 1 77 78
-79 1 2 1 1 78 79
-80 1 2 1 1 79 80
-81 1 2 1 1 80 81
-82 1 2 1 1 81 82
-83 1 2 1 1 82 83
-84 1 2 1 1 83 84
-85 1 2 1 1 84 85
-86 1 2 1 1 85 86
-87 1 2 1 1 86 87
-88 1 2 1 1 87 88
-89 1 2 1 1 88 89
-90 1 2 1 1 89 90
-91 1 2 1 1 90 91
-92 1 2 1 1 91 92
-93 1 2 1 1 92 93
-94 1 2 1 1 93 94
-95 1 2 1 1 94 95
-96 1 2 1 1 95 96
-97 1 2 1 1 96 97
-98 1 2 1 1 97 98
-99 1 2 1 1 98 99
-100 1 2 1 1 99 100
-101 1 2 1 1 100 101
-102 1 2 1 1 101 2
+52 1 2 1 1 51 2
 $EndElements
diff --git a/runs/ALPHIE_Grid/inputDiffTau.json b/runs/ALPHIE_Grid/inputDiffTau.json
index a038f25..18f1ebe 100644
--- a/runs/ALPHIE_Grid/inputDiffTau.json
+++ b/runs/ALPHIE_Grid/inputDiffTau.json
@@ -2,7 +2,6 @@
   "output": {
     "path": "./runs/ALPHIE_Grid/",
     "triggerOutput": 500,
-    "triggerCPUTime": 1,
     "cpuTime": true,
     "numColl": false,
     "EMField": true,
@@ -15,7 +14,7 @@
   },
   "species": [
     {"name": "Argon+",   "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e1},
-    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e1}
+    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e2}
   ],
   "boundary": [ 
     {"name": "Ionization Chanber", "physicalSurface": 1, "bTypes": [
@@ -66,6 +65,7 @@
     "tau":  [1.0e-9, 1.0e-11],
     "time": 1.0e-6,
     "pusher": ["2DCylCharged", "2DCylCharged"],
+    "WeightingScheme": "Volume",
     "EMSolver": "Electrostatic"
   },
   "parallel": {
diff --git a/runs/ALPHIE_Grid/inputSameTau.json b/runs/ALPHIE_Grid/inputSameTau.json
index b91aed5..5c91d42 100644
--- a/runs/ALPHIE_Grid/inputSameTau.json
+++ b/runs/ALPHIE_Grid/inputSameTau.json
@@ -2,7 +2,6 @@
   "output": {
     "path": "./runs/ALPHIE_Grid/",
     "triggerOutput": 500,
-    "triggerCPUTime": 1,
     "cpuTime": true,
     "numColl": false,
     "EMField": true,
@@ -15,7 +14,7 @@
   },
   "species": [
     {"name": "Argon+",   "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e1},
-    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e1}
+    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e2}
   ],
   "boundary": [ 
     {"name": "Ionization Chanber", "physicalSurface": 1, "bTypes": [
@@ -66,6 +65,7 @@
     "tau":  [1.0e-11, 1.0e-11],
     "time": 1.0e-6,
     "pusher": ["2DCylCharged", "2DCylCharged"],
+    "WeightingScheme": "Volume",
     "EMSolver": "Electrostatic"
   },
   "parallel": {

From 95d5a1200d389375fa1341cefd8df9f9e500700a Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 11 Mar 2021 12:54:51 +0100
Subject: [PATCH 009/203] Included a new cases of 1D Cathode emission based on
 plasma background previously computed.

---
 runs/1D_Cathode/Argon+_Background.dat         | 51 +++++++++++++++++++
 runs/1D_Cathode/Electron_Background.dat       | 51 +++++++++++++++++++
 .../{inputRad.json => inputRadEmission.json}  | 25 +++++----
 runs/1D_Cathode/mesh.geo                      |  2 +-
 4 files changed, 117 insertions(+), 12 deletions(-)
 create mode 100644 runs/1D_Cathode/Argon+_Background.dat
 create mode 100644 runs/1D_Cathode/Electron_Background.dat
 rename runs/1D_Cathode/{inputRad.json => inputRadEmission.json} (72%)

diff --git a/runs/1D_Cathode/Argon+_Background.dat b/runs/1D_Cathode/Argon+_Background.dat
new file mode 100644
index 0000000..b09138f
--- /dev/null
+++ b/runs/1D_Cathode/Argon+_Background.dat
@@ -0,0 +1,51 @@
+#Element  Density(m^-3)  Velocity  (m/2)  Temperature  (K)
+1  1683217500000000  -19386.6  0  0  500
+2  1577004000000000  -19130.6  0  0  500
+3  1483725500000000  -18673.4  0  0  500
+4  1495368000000000  -18223.2  0  0  500
+5  1601330000000000  -17804.8  0  0  500
+6  1630851500000000  -17360.2  0  0  500
+7  1569924000000000  -16986.4  0  0  500
+8  1555674000000000  -16567.4  0  0  500
+9  1501328000000000  -16181.2  0  0  500
+10  1472318000000000  -15785.9  0  0  500
+11  1458490000000000  -15374.6  0  0  500
+12  1457809500000000  -15012.6  0  0  500
+13  1474687000000000  -14477.2  0  0  500
+14  1473073500000000  -14242.7  0  0  500
+15  1511770500000000  -13848.8  0  0  500
+16  1564946500000000  -13502.7  0  0  500
+17  1533674000000000  -13157.7  0  0  500
+18  1473108000000000  -12764.5  0  0  500
+19  1496640000000000  -12488.3  0  0  500
+20  1514440500000000  -12036.1  0  0  500
+21  1494114500000000  -11665.3  0  0  500
+22  1493046500000000  -11348.2  0  0  500
+23  1500858500000000  -10977.3  0  0  500
+24  1494480500000000  -10624.9  0  0  500
+25  1542839500000000  -11111.7  0  0  500
+26  1596599500000000  -9940.4  0  0  500
+27  1650272000000000  -9566.4  0  0  500
+28  1690817500000000  -9223.5  0  0  500
+29  1724662000000000  -8917.5  0  0  500
+30  1777677500000000  -8544.2  0  0  500
+31  1809272500000000  -8129.9  0  0  500
+32  1814150000000000  -7827.7  0  0  500
+33  1838401500000000  -7458.4  0  0  500
+34  1977935000000000  -7113.4  0  0  500
+35  2093814500000000  -6707.0  0  0  500
+36  2107688500000000  -6373.7  0  0  500
+37  2244944000000000  -6024.8  0  0  500
+38  2390213000000000  -5625.1  0  0  500
+39  2484013500000000  -5223.9  0  0  500
+40  2600636000000000  -4862.8  0  0  500
+41  2751150500000000  -4640.7  0  0  500
+42  2972491500000000  -4116.6  0  0  500
+43  3282084500000000  -3661.9  0  0  500
+44  3682392500000000  -3241.6  0  0  500
+45  4103775500000000  -2772.5  0  0  500
+46  4913489500000000  -2383.0  0  0  500
+47  6405310500000000  -1911.6  0  0  500
+48  9003078999999999  -1483.9  0  0  500
+49  1.3388345E+016  -993.4  0  0  500
+50  2.266645E+016  -592.5  0  0  500
diff --git a/runs/1D_Cathode/Electron_Background.dat b/runs/1D_Cathode/Electron_Background.dat
new file mode 100644
index 0000000..e03cc49
--- /dev/null
+++ b/runs/1D_Cathode/Electron_Background.dat
@@ -0,0 +1,51 @@
+#Element  Density(m^-3)  Velocity  (m/2)  Temperature  (K)
+1  0  0  0  0  11604
+2  0  0  0  0  11604
+3  0  0  0  0  11604
+4  0  0  0  0  11604
+5  0  0  0  0  11604
+6  0  0  0  0  11604
+7  0  0  0  0  11604
+8  0  0  0  0  11604
+9  0  0  0  0  11604
+10  0  0  0  0  11604
+11  0  0  0  0  11604
+12  0  0  0  0  11604
+13  0  0  0  0  11604
+14  0  0  0  0  11604
+15  0  0  0  0  11604
+16  0  0  0  0  11604
+17  0  0  0  0  11604
+18  0  0  0  0  11604
+19  0  0  0  0  11604
+20  0  0  0  0  11604
+21  0  0  0  0  11604
+22  0  0  0  0  11604
+23  0  0  0  0  11604
+24  0  0  0  0  11604
+25  0  0  0  0  11604
+26  0  0  0  0  11604
+27  0  0  0  0  11604
+28  0  0  0  0  11604
+29  0  0  0  0  11604
+30  0  0  0  0  11604
+31  0  0  0  0  11604
+32  0  0  0  0  11604
+33  0  0  0  0  11604
+34  0  0  0  0  11604
+35  0  0  0  0  11604
+36  0  0  0  0  11604
+37  0  0  0  0  11604
+38  0  0  0  0  11604
+39  0  0  0  0  11604
+40  0  0  0  0  11604
+41  0  0  0  0  11604
+42  0  0  0  0  11604
+43  529256500000  32881.47  0  0  11604
+44  5035006500000  40868.50  0  0  11604
+45  37296800000000  5264.45  0  0  11604
+46  226267350000000  -12113.65  0  0  11604
+47  928316300000000  -15834.22  0  0  11604
+48  3119752000000000  -12139.49  0  0  11604
+49  7748062000000000  -8297.72  0  0  11604
+50  1.348286E+016  43.29  0  0  11604
diff --git a/runs/1D_Cathode/inputRad.json b/runs/1D_Cathode/inputRadEmission.json
similarity index 72%
rename from runs/1D_Cathode/inputRad.json
rename to runs/1D_Cathode/inputRadEmission.json
index 3e87739..ba3ce41 100644
--- a/runs/1D_Cathode/inputRad.json
+++ b/runs/1D_Cathode/inputRadEmission.json
@@ -6,12 +6,12 @@
     "cpuTime": false,
     "numColl": false,
     "EMField": true,
-	"folder": "Radial"
+	"folder": "Radial_Emision"
   },
   "reference": {
     "density": 1.0e16,
     "mass": 9.109e-31,
-    "temperature": 2500.0
+    "temperature": 11604.0
   },
   "geometry": {
     "type":     "1DRad",
@@ -33,22 +33,25 @@
                                                 ]}
   ],
   "boundaryEM": [
-    {"name": "Cathode",  "type": "dirichlet", "potential":  -10.0, "physicalSurface": 1},
-    {"name": "Infinite", "type": "dirichlet", "potential":    0.0, "physicalSurface": 2}
+    {"name": "Cathode",  "type": "dirichlet", "potential": 0.0, "physicalSurface": 1}
   ],
   "inject": [
-    {"name": "Cathode Electron", "species": "Electron", "flow":  1.0e-3, "units": "A", "v": 27500.0, "T": [2500.0, 2500.0, 2500.0],
-                                 "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [ 1, 0, 0], "physicalSurface": 1},
-    {"name": "Plasma Inf Ar+",   "species": "Argon+",   "flow":  1.0e-6, "units": "A", "v": 500.0,   "T": [500.0, 500.0, 500.0],
+    {"name": "Plasma Inf Ar+",   "species": "Argon+",   "flow":  1.00e-6, "units": "A", "v": 300.0,   "T": [  500.0,   500.0,   500.0],
                                  "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [-1, 0, 0], "physicalSurface": 2},
-    {"name": "Plasma Inf e",     "species": "Electron", "flow":  1.0e-6, "units": "A", "v": 500.0,   "T": [500.0, 500.0, 500.0],
-                                 "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [-1, 0, 0], "physicalSurface": 2}
+    {"name": "Plasma Inf e",     "species": "Electron", "flow":  2.64e-4, "units": "A", "v":   0.0,   "T": [11604.0, 11604.0, 11604.0],
+                                 "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [-1, 0, 0], "physicalSurface": 2},
+    {"name": "Plasma Cat e",     "species": "Electron", "flow":  2.64e-2, "units": "A", "v": 180000.0,   "T": [ 2300.0,  2300.0,  2300.0],
+                                 "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [ 1, 0, 0], "physicalSurface": 1}
   ],
   "case": {
     "tau":  [1.0e-11, 1.0e-11],
-    "time": 1.0e-5,
+    "time": 4.0e-6,
     "pusher": ["1DRadCharged", "1DRadCharged"],
-    "EMSolver": "Electrostatic"
+    "EMSolver": "Electrostatic",
+    "initial": [
+      {"speciesName": "Argon+",   "initialState": "Argon+_Background.dat"},
+      {"speciesName": "Electron", "initialState": "Electron_Background.dat"}
+    ]
   },
   "parallel": {
     "OpenMP":{
diff --git a/runs/1D_Cathode/mesh.geo b/runs/1D_Cathode/mesh.geo
index 657bb89..3f96cbb 100644
--- a/runs/1D_Cathode/mesh.geo
+++ b/runs/1D_Cathode/mesh.geo
@@ -1,4 +1,4 @@
-Lcell = 0.00004;
+Lcell = 4e-5;
 
 x0 = 0.001;
 xf = x0 + 50.0*Lcell;

From ff0c09242dfff42ed2536577c12f37d3bcb075b9 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 11 Mar 2021 12:56:15 +0100
Subject: [PATCH 010/203] Fixed an issue with normal vector not being norm
 unit, which was causing reflected particle velocities to increase.

---
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 | 1 +
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   | 1 +
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 2 ++
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   | 1 +
 src/modules/mesh/3DCart/moduleMesh3DCart.f90 | 1 +
 5 files changed, 6 insertions(+)

diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 647d974..d45c7a0 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -145,6 +145,7 @@ MODULE moduleMesh1DCart
       self%x = r1(1)
 
       self%normal = (/ 1.D0, 0.D0, 0.D0 /)
+      self%normal = self%normal/NORM2(self%normal)
 
       !Boundary index
       self%boundary => boundary(bt)
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 3f67f15..1d2bdba 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -146,6 +146,7 @@ MODULE moduleMesh1DRad
       self%r = r1(1)
 
       self%normal = (/ 1.D0, 0.D0, 0.D0 /)
+      self%normal = self%normal/NORM2(self%normal)
 
       !Boundary index
       self%boundary => boundary(bt)
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index cc2369a..ac22b28 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -193,6 +193,8 @@ MODULE moduleMesh2DCart
       self%normal = (/ self%y(2)-self%y(1), &
                        self%x(2)-self%x(1), &
                        0.D0 /)
+      self%normal = self%normal/NORM2(self%normal)
+
       !Boundary index
       self%boundary => boundary(bt)
       ALLOCATE(self%fboundary(1:nSpecies))
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 9303c1b..8ef5c6d 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -194,6 +194,7 @@ MODULE moduleMesh2DCyl
       self%normal = (/ self%r(2)-self%r(1), &
                        self%z(2)-self%z(1), &
                        0.D0 /)
+      self%normal = self%normal/NORM2(self%normal)
       !Boundary index
       self%boundary => boundary(bt)
       ALLOCATE(self%fboundary(1:nSpecies))
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index d01e820..1c713c9 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -159,6 +159,7 @@ MODULE moduleMesh3DCart
       self%normal = (/  (self%y(2)-self%y(1))*(self%z(3)-self%z(1)) - (self%z(2)-self%z(1))*(self%y(3)-self%y(1)), &
                         (self%x(2)-self%x(1))*(self%z(3)-self%z(1)) - (self%z(2)-self%z(1))*(self%x(3)-self%x(1)), &
                         (self%x(2)-self%x(1))*(self%y(3)-self%y(1)) - (self%z(2)-self%z(1))*(self%y(3)-self%y(1)) /)
+      self%normal = self%normal/NORM2(self%normal)
 
       !Boundary index
       self%boundary => boundary(bt)

From 7e5b78f72f969797a29faa1a3b36ff0b5664a1df Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 11 Mar 2021 16:25:30 +0100
Subject: [PATCH 011/203] Implementation of 3D cartesian coordinates completed.
 Last commit before testing.

---
 src/makefile                                  |   1 +
 .../mesh/3DCart/moduleMesh3DCartRead.f90      | 157 +++++++++++++++++-
 src/modules/moduleInput.f90                   |   5 +
 src/modules/moduleSolver.f90                  |  62 +++++++
 4 files changed, 223 insertions(+), 2 deletions(-)

diff --git a/src/makefile b/src/makefile
index e3801fd..7bb277a 100644
--- a/src/makefile
+++ b/src/makefile
@@ -4,6 +4,7 @@ OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/module
 			  	$(OBJDIR)/moduleBoundary.o $(OBJDIR)/moduleCaseParam.o $(OBJDIR)/moduleRefParam.o \
 			  	$(OBJDIR)/moduleCollisions.o $(OBJDIR)/moduleTable.o $(OBJDIR)/moduleParallel.o \
 			  	$(OBJDIR)/moduleEM.o $(OBJDIR)/moduleRandom.o \
+			  	$(OBJDIR)/moduleMesh3DCart.o $(OBJDIR)/moduleMesh3DCartRead.o	\
 			  	$(OBJDIR)/moduleMesh2DCyl.o  $(OBJDIR)/moduleMesh2DCylRead.o \
 			  	$(OBJDIR)/moduleMesh2DCart.o $(OBJDIR)/moduleMesh2DCartRead.o	\
           $(OBJDIR)/moduleMesh1DCart.o $(OBJDIR)/moduleMesh1DCartRead.o \
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90 b/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
index a2197a4..40f81d0 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
@@ -9,10 +9,10 @@ MODULE moduleMesh3DCartRead
 
   END TYPE
 
-  INTERFACE connect
+  INTERFACE connected
     MODULE PROCEDURE connectedVolVol, connectedVolEdge
 
-  END INTERFACE connect
+  END INTERFACE connected
 
   CONTAINS
     !Init mesh
@@ -388,6 +388,7 @@ MODULE moduleMesh3DCartRead
         END IF
 
       END IF
+
       !Check surface 4
       IF (.NOT. ASSOCIATED(elemA%e3)) THEN
         IF     ((elemA%n1%n == elemB%n1%n .AND. &
@@ -454,6 +455,134 @@ MODULE moduleMesh3DCartRead
       CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemA
       CLASS(meshEdge3DCartTria), INTENT(inout), TARGET:: elemB
 
+      !Check surface 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     ((elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n3%n) .OR. &
+                (elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n2%n) .OR. &
+                (elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n1%n)) THEN
+
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF ((elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n1%n) .OR. &
+                (elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n2%n) .OR. &
+                (elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n3%n)) THEN
+
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+        END IF
+
+      END IF
+
+      !Check surface 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     ((elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n3%n) .OR. &
+                (elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n2%n) .OR. &
+                (elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n1%n)) THEN
+
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF ((elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n1%n) .OR. &
+                (elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n2%n) .OR. &
+                (elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n3%n)) THEN
+
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+        END IF
+
+      END IF
+
+      !Check surface 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     ((elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n3%n) .OR. &
+                (elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n2%n) .OR. &
+                (elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n1%n)) THEN
+
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF ((elemA%n2%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n1%n) .OR. &
+                (elemA%n2%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n2%n) .OR. &
+                (elemA%n2%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n3%n)) THEN
+
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+        END IF
+
+      END IF
+
+      !Check surface 4
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     ((elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n3%n) .OR. &
+                (elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n2%n) .OR. &
+                (elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n1%n)) THEN
+
+          elemA%e4 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF ((elemA%n1%n == elemB%n3%n .AND. &
+                 elemA%n3%n == elemB%n2%n .AND. &
+                 elemA%n4%n == elemB%n1%n) .OR. &
+                (elemA%n1%n == elemB%n1%n .AND. &
+                 elemA%n3%n == elemB%n3%n .AND. &
+                 elemA%n4%n == elemB%n2%n) .OR. &
+                (elemA%n1%n == elemB%n2%n .AND. &
+                 elemA%n3%n == elemB%n1%n .AND. &
+                 elemA%n4%n == elemB%n3%n)) THEN
+
+          elemA%e4 => elemB
+          elemB%e2 => elemA
+
+        END IF
+
+      END IF
+
     END SUBROUTINE connectedTetraEdge
 
     SUBROUTINE constructGlobalK(K, elem)
@@ -465,6 +594,30 @@ MODULE moduleMesh3DCartRead
       INTEGER:: nNodes, i, j
       INTEGER, ALLOCATABLE:: n(:)
 
+      SELECT TYPE(elem)
+      TYPE IS(meshVol3DCartTetra)
+        nNodes = 4
+        ALLOCATE(localK(1:nNodes,1:nNodes))
+        localK = elem%elemK()
+        ALLOCATE(n(1:nNodes))
+        n = (/ elem%n1%n, elem%n2%n, &
+               elem%n3%n, elem%n4%n /)
+
+      CLASS DEFAULT
+        nNodes = 0
+        ALLOCATE(localK(1:1, 1:1))
+        localK = 0.D0
+        ALLOCATE(n(1:1))
+        n = 0
+
+      END SELECT
+      
+      DO i = 1, nNodes
+        DO j = 1, nNodes
+          K(n(i), n(j)) = K(n(i), n(j)) + localK(i, j)
+        END DO
+      END DO
+
     END SUBROUTINE constructGlobalK
 
 END MODULE moduleMesh3DCartRead
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 13d43e3..30fbc57 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -653,6 +653,7 @@ MODULE moduleInput
     !Read the geometry (mesh) for the case
     SUBROUTINE readGeometry(config)
       USE moduleMesh
+      USE moduleMesh3DCartRead, ONLY: mesh3DCartGeneric
       USE moduleMesh2DCylRead,  ONLY: mesh2DCylGeneric
       USE moduleMesh2DCartRead, ONLY: mesh2DCartGeneric
       USE moduleMesh1DCartRead, ONLY: mesh1DCartGeneric
@@ -670,6 +671,10 @@ MODULE moduleInput
       !Selects the type of geometry.
       CALL config%get('geometry.type', geometryType, found)
       SELECT CASE(geometryType)
+      CASE ("3DCart")
+        !Creates a 3D cylindrical mesh
+        ALLOCATE(mesh3DCartGeneric:: mesh)
+
       CASE ("2DCyl")
         !Creates a 2D cylindrical mesh
         ALLOCATE(mesh2DCylGeneric:: mesh)
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index 4b0124e..d6b10a5 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -162,6 +162,68 @@ MODULE moduleSolver
 
     END SUBROUTINE doPushes
 
+    !Push neutral particles in 3D cartesian coordinates
+    PURE SUBROUTINE push3DCartNeutral(part, tauIn)
+      USE moduleSPecies
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+      TYPE(particle):: part_temp
+
+      part_temp = part
+
+      !x
+      part_temp%v(1) = part%v(1)
+      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
+
+      !y
+      part_temp%v(2) = part%v(2)
+      part_temp%r(2) = part%r(2) + part_temp%v(2)*tauIn
+
+      !z
+      part_temp%v(3) = part%v(3)
+      part_temp%r(3) = part%r(3) + part_temp%v(3)*tauIn
+
+      part_temp%n_in = .FALSE.
+
+      part = part_temp
+
+    END SUBROUTINE push3DCartNeutral
+
+    !Push charged particles in 3D cartesian coordinates
+    PURE SUBROUTINE push3DCartCharged(part, tauIn)
+      USE moduleSPecies
+      USE moduleEM
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+      TYPE(particle):: part_temp
+      REAL(8):: qmEFt(1:3)
+
+      part_temp = part
+      !Get the electric field at particle position
+      qmEFt = part_temp%qm*gatherElecField(part_temp)*tauIn
+
+      !x
+      part_temp%v(1) = part%v(1) + qmEFt(1)
+      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
+
+      !y
+      part_temp%v(2) = part%v(2) + qmEFt(2)
+      part_temp%r(2) = part%r(2) + part_temp%v(2)*tauIn
+
+      !z
+      part_temp%v(3) = part%v(3) + qmEFt(3)
+      part_temp%r(3) = part%r(3) + part_temp%v(3)*tauIn
+
+      part_temp%n_in = .FALSE.
+
+      part = part_temp
+
+    END SUBROUTINE push3DCartCharged
+
     !Push one particle. Boris pusher for 2D Cyl Neutral particle
     PURE SUBROUTINE push2DCylNeutral(part, tauIn)
       USE moduleSpecies

From c236c5e0e26dcd4ab3046527969ca84ddaf7bf00 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 15 Mar 2021 10:00:34 +0100
Subject: [PATCH 012/203] Fixing some issues in 3D Cartesian coordinates.
 Included 3D pusher.

Still there are issues linking a volume to an edge.
---
 .../mesh/1DCart/moduleMesh1DCartRead.f90      |   3 +
 .../mesh/1DRad/moduleMesh1DRadRead.f90        |   3 +
 .../mesh/2DCart/moduleMesh2DCartRead.f90      |  21 ++
 .../mesh/2DCyl/moduleMesh2DCylRead.f90        |  18 ++
 src/modules/mesh/3DCart/moduleMesh3DCart.f90  |   2 +-
 .../mesh/3DCart/moduleMesh3DCartRead.f90      | 208 ++++++------------
 src/modules/moduleInject.f90                  |   9 +-
 src/modules/moduleSolver.f90                  |   7 +
 8 files changed, 123 insertions(+), 148 deletions(-)

diff --git a/src/modules/mesh/1DCart/moduleMesh1DCartRead.f90 b/src/modules/mesh/1DCart/moduleMesh1DCartRead.f90
index 720e61d..d69cfdc 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCartRead.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCartRead.f90
@@ -217,6 +217,9 @@ MODULE moduleMesh1DCartRead
 
         elemA%e1 => elemB
         elemB%e2 => elemA
+ 
+        !Revers the normal to point inside the domain
+        elemB%normal = - elemB%normal
 
       END IF
 
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRadRead.f90 b/src/modules/mesh/1DRad/moduleMesh1DRadRead.f90
index 1a9f25c..4f14b5f 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRadRead.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRadRead.f90
@@ -218,6 +218,9 @@ MODULE moduleMesh1DRadRead
         elemA%e1 => elemB
         elemB%e2 => elemA
 
+        !Revers the normal to point inside the domain
+        elemB%normal = - elemB%normal
+
       END IF
 
       IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90 b/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
index b91627a..b0f2ee3 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
@@ -439,6 +439,9 @@ MODULE moduleMesh2DCartRead
           elemA%e1 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
         ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
                 elemA%n2%n == elemB%n1%n) THEN
           elemA%e1 => elemB
@@ -455,6 +458,9 @@ MODULE moduleMesh2DCartRead
           elemA%e2 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
         ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
                 elemA%n3%n == elemB%n1%n) THEN
           elemA%e2 => elemB
@@ -471,6 +477,9 @@ MODULE moduleMesh2DCartRead
           elemA%e3 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
         ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
                 elemA%n4%n == elemB%n1%n) THEN
           elemA%e3 => elemB
@@ -487,6 +496,9 @@ MODULE moduleMesh2DCartRead
           elemA%e4 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
         ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
                 elemA%n1%n == elemB%n1%n) THEN
           elemA%e4 => elemB
@@ -511,6 +523,9 @@ MODULE moduleMesh2DCartRead
           elemA%e1 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
         ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
                 elemA%n2%n == elemB%n1%n) THEN
           elemA%e1 => elemB
@@ -527,6 +542,9 @@ MODULE moduleMesh2DCartRead
           elemA%e2 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
         ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
                 elemA%n3%n == elemB%n1%n) THEN
           elemA%e2 => elemB
@@ -543,6 +561,9 @@ MODULE moduleMesh2DCartRead
           elemA%e3 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
         ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
                 elemA%n1%n == elemB%n1%n) THEN
           elemA%e3 => elemB
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90
index 085c3c3..379a0fb 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90
@@ -439,6 +439,9 @@ MODULE moduleMesh2DCylRead
           elemA%e1 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
         ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
                 elemA%n2%n == elemB%n1%n) THEN
           elemA%e1 => elemB
@@ -455,6 +458,9 @@ MODULE moduleMesh2DCylRead
           elemA%e2 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
         ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
                 elemA%n3%n == elemB%n1%n) THEN
           elemA%e2 => elemB
@@ -471,6 +477,9 @@ MODULE moduleMesh2DCylRead
           elemA%e3 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
         ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
                 elemA%n4%n == elemB%n1%n) THEN
           elemA%e3 => elemB
@@ -511,6 +520,9 @@ MODULE moduleMesh2DCylRead
           elemA%e1 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
         ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
                 elemA%n2%n == elemB%n1%n) THEN
           elemA%e1 => elemB
@@ -527,6 +539,9 @@ MODULE moduleMesh2DCylRead
           elemA%e2 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
         ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
                 elemA%n3%n == elemB%n1%n) THEN
           elemA%e2 => elemB
@@ -543,6 +558,9 @@ MODULE moduleMesh2DCylRead
           elemA%e3 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
         ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
                 elemA%n1%n == elemB%n1%n) THEN
           elemA%e3 => elemB
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 1c713c9..0464c7f 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -146,7 +146,7 @@ MODULE moduleMesh3DCart
 
       self%n = n
       self%n1 => mesh%nodes(p(1))%obj
-      self%n3 => mesh%nodes(p(2))%obj
+      self%n2 => mesh%nodes(p(2))%obj
       self%n3 => mesh%nodes(p(3))%obj
       !Get element coordinates
       r1 = self%n1%getCoordinates()
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90 b/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
index 40f81d0..c6b021a 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
@@ -207,6 +207,28 @@ MODULE moduleMesh3DCartRead
 
     END SUBROUTINE connectedVolEdge
 
+    PURE FUNCTION coincidentNodes(nodesA, nodesB) RESULT(coincident)
+      IMPLICIT NONE
+
+      INTEGER, DIMENSION(1:3), INTENT(in):: nodesA, nodesB
+      LOGICAL:: coincident
+      INTEGER:: i
+
+      coincident = .FALSE.
+      DO i = 1, 3
+        IF (ANY(nodesA(i) == nodesB)) THEN
+          coincident = .TRUE.
+
+        ELSE
+          coincident = .FALSE.
+          EXIT
+
+        END IF
+
+      END DO
+
+    END FUNCTION coincidentNodes
+
     SUBROUTINE connectedTetraTetra(elemA, elemB)
       IMPLICIT NONE
 
@@ -217,54 +239,26 @@ MODULE moduleMesh3DCartRead
 
       !Check surface 1
       IF (.NOT. ASSOCIATED(elemA%e1)) THEN
-        IF     ((elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n3%n) .OR. &
-                (elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n2%n) .OR. &
-                (elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n1%n)) THEN
+        IF     (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
 
           elemA%e1 => elemB
           elemB%e1 => elemA
 
-        ELSEIF ((elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n4%n) .OR. &
-                (elemA%n1%n == elemB%n4%n .AND. &
-                 elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n3%n) .OR. &
-                (elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n2%n == elemB%n4%n .AND. &
-                 elemA%n3%n == elemB%n2%n)) THEN
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
+                                (/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
 
           elemA%e1 => elemB
           elemB%e2 => elemA
 
-        ELSEIF ((elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n4%n) .OR. &
-                (elemA%n1%n == elemB%n4%n .AND. &
-                 elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n2%n) .OR. &
-                (elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n2%n == elemB%n4%n .AND. &
-                 elemA%n3%n == elemB%n1%n)) THEN
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
 
           elemA%e1 => elemB
           elemB%e3 => elemA
 
-        ELSEIF ((elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n4%n) .OR. &
-                (elemA%n1%n == elemB%n4%n .AND. &
-                 elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n3%n) .OR. &
-                (elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n2%n == elemB%n4%n .AND. &
-                 elemA%n3%n == elemB%n1%n)) THEN
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
+                                (/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
 
           elemA%e1 => elemB
           elemB%e4 => elemA
@@ -275,54 +269,26 @@ MODULE moduleMesh3DCartRead
 
       !Check surface 2
       IF (.NOT. ASSOCIATED(elemA%e2)) THEN
-        IF     ((elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n3%n) .OR. &
-                (elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n2%n) .OR. &
-                (elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n1%n)) THEN
+        IF     (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
 
           elemA%e2 => elemB
           elemB%e1 => elemA
 
-        ELSEIF ((elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n4%n) .OR. &
-                (elemA%n1%n == elemB%n4%n .AND. &
-                 elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n3%n) .OR. &
-                (elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n2%n == elemB%n4%n .AND. &
-                 elemA%n4%n == elemB%n2%n)) THEN
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
+                                (/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
 
           elemA%e2 => elemB
           elemB%e2 => elemA
 
-        ELSEIF ((elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n4%n) .OR. &
-                (elemA%n1%n == elemB%n4%n .AND. &
-                 elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n2%n) .OR. &
-                (elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n2%n == elemB%n4%n .AND. &
-                 elemA%n4%n == elemB%n1%n)) THEN
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
 
           elemA%e2 => elemB
           elemB%e3 => elemA
 
-        ELSEIF ((elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n4%n) .OR. &
-                (elemA%n1%n == elemB%n4%n .AND. &
-                 elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n3%n) .OR. &
-                (elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n2%n == elemB%n4%n .AND. &
-                 elemA%n4%n == elemB%n1%n)) THEN
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
 
           elemA%e2 => elemB
           elemB%e4 => elemA
@@ -333,54 +299,26 @@ MODULE moduleMesh3DCartRead
 
       !Check surface 3
       IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF     ((elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n3%n) .OR. &
-                (elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n2%n) .OR. &
-                (elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n1%n)) THEN
+        IF     (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
 
           elemA%e3 => elemB
           elemB%e1 => elemA
 
-        ELSEIF ((elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n4%n) .OR. &
-                (elemA%n2%n == elemB%n4%n .AND. &
-                 elemA%n3%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n3%n) .OR. &
-                (elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n4%n .AND. &
-                 elemA%n4%n == elemB%n2%n)) THEN
+        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
 
           elemA%e3 => elemB
           elemB%e2 => elemA
 
-        ELSEIF ((elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n4%n) .OR. &
-                (elemA%n2%n == elemB%n4%n .AND. &
-                 elemA%n3%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n2%n) .OR. &
-                (elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n4%n .AND. &
-                 elemA%n4%n == elemB%n1%n)) THEN
+        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
 
           elemA%e3 => elemB
           elemB%e3 => elemA
 
-        ELSEIF ((elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n4%n) .OR. &
-                (elemA%n2%n == elemB%n4%n .AND. &
-                 elemA%n3%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n3%n) .OR. &
-                (elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n4%n .AND. &
-                 elemA%n4%n == elemB%n1%n)) THEN
+        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
 
           elemA%e3 => elemB
           elemB%e4 => elemA
@@ -391,54 +329,26 @@ MODULE moduleMesh3DCartRead
 
       !Check surface 4
       IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF     ((elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n3%n) .OR. &
-                (elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n2%n) .OR. &
-                (elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n1%n)) THEN
+        IF     (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
 
           elemA%e4 => elemB
           elemB%e1 => elemA
 
-        ELSEIF ((elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n4%n) .OR. &
-                (elemA%n1%n == elemB%n4%n .AND. &
-                 elemA%n3%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n3%n) .OR. &
-                (elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n4%n .AND. &
-                 elemA%n4%n == elemB%n2%n)) THEN
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
 
           elemA%e4 => elemB
           elemB%e2 => elemA
 
-        ELSEIF ((elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n4%n) .OR. &
-                (elemA%n1%n == elemB%n4%n .AND. &
-                 elemA%n3%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n2%n) .OR. &
-                (elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n4%n .AND. &
-                 elemA%n4%n == elemB%n1%n)) THEN
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
 
           elemA%e4 => elemB
           elemB%e3 => elemA
 
-        ELSEIF ((elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n4%n) .OR. &
-                (elemA%n1%n == elemB%n4%n .AND. &
-                 elemA%n3%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n3%n) .OR. &
-                (elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n4%n .AND. &
-                 elemA%n4%n == elemB%n1%n)) THEN
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
 
           elemA%e4 => elemB
           elemB%e4 => elemA
@@ -483,8 +393,12 @@ MODULE moduleMesh3DCartRead
           elemA%e1 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = -elemB%normal
+
         END IF
 
+
       END IF
 
       !Check surface 2
@@ -515,6 +429,9 @@ MODULE moduleMesh3DCartRead
           elemA%e2 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = -elemB%normal
+
         END IF
 
       END IF
@@ -547,6 +464,9 @@ MODULE moduleMesh3DCartRead
           elemA%e3 => elemB
           elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = -elemB%normal
+
         END IF
 
       END IF
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 9a02cb1..e614cdf 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -230,12 +230,15 @@ MODULE moduleInject
         !Random position in edge
         partInj(n)%r = randomEdge%randPos()
         !Volume associated to the edge:
-        IF (DOT_PRODUCT(self%n, randomEdge%normal) >= 0.D0) THEN
+        IF (ASSOCIATED(randomEdge%e1)) THEN
           partInj(n)%vol = randomEdge%e1%n
-        
-        ELSE
+
+        ELSEIF (ASSOCIATED(randomEdge%e2)) THEN
           partInj(n)%vol = randomEdge%e2%n
 
+        ELSE
+          PRINT *, "ERROR NO VOL ASSOCIATED TO EDGE"
+
         END IF
 
         partInj(n)%v = (/ self%v(1)%obj%randomVel(), &
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index d6b10a5..c76b6c9 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -67,6 +67,13 @@ MODULE moduleSolver
       REAL(8):: tau, tauSp
 
       SELECT CASE(pusherType)
+      !3D Cartesian
+      CASE('3DCartNeutral')
+        self%pushParticle => push3DCartNeutral
+
+      CASE('3DCartCharged')
+        self%pushParticle => push3DCartCharged
+
       !2D Cylindrical
       CASE('2DCylNeutral')
         self%pushParticle => push2DCylNeutral

From 8cf50cda68c1cbd49cf19c597d4b27ba975b6b7c Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sat, 20 Mar 2021 13:08:01 +0100
Subject: [PATCH 013/203] First implementation of ionization boundary. Still
 some work to do.

---
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 |  62 +++++-----
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   |  18 +--
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 |  18 +--
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   |  25 +---
 src/modules/mesh/3DCart/moduleMesh3DCart.f90 |  18 +--
 src/modules/mesh/moduleMeshBoundary.f90      | 113 +++++++++++++++++++
 src/modules/moduleBoundary.f90               |  45 +++++++-
 src/modules/moduleInject.f90                 |   4 +
 src/modules/moduleInput.f90                  |  26 +++++
 src/modules/moduleList.f90                   |   2 +
 src/modules/moduleSolver.f90                 |  21 +++-
 11 files changed, 247 insertions(+), 105 deletions(-)

diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index d45c7a0..366fa84 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -7,6 +7,9 @@ MODULE moduleMesh1DCart
   USE moduleMeshBoundary
   IMPLICIT NONE
 
+  REAL(8), PARAMETER:: corSeg(1:3) = (/ -DSQRT(3.D0/5.D0), 0.D0,       DSQRT(3.D0/5.D0) /)
+  REAL(8), PARAMETER:: wSeg(1:3)  = (/        5.D0/9.D0 , 8.D0/9.D0,        5.D0/9.D0  /)
+
   TYPE, PUBLIC, EXTENDS(meshNode):: meshNode1DCart
     !Element coordinates
     REAL(8):: x = 0.D0
@@ -152,23 +155,7 @@ MODULE moduleMesh1DCart
       ALLOCATE(self%fboundary(1:nSpecies))
       !Assign functions to boundary
       DO s = 1, nSpecies
-        SELECT TYPE(obj => self%boundary%bTypes(s)%obj)
-        TYPE IS(boundaryAbsorption)
-          self%fBoundary(s)%apply => absorption
-
-        TYPE IS(boundaryReflection)
-          self%fBoundary(s)%apply => reflection
-
-        TYPE IS(boundaryTransparent)
-          self%fBoundary(s)%apply => transparent
-
-        TYPE IS(boundaryWallTemperature)
-          self%fBoundary(s)%apply => wallTemperature
-
-        CLASS DEFAULT
-          CALL criticalError("Boundary type not defined in this geometry", 'initEdge1DCart')
-
-        END SELECT
+        CALL pointBoundaryFunction(self, s)
 
       END DO
       
@@ -322,22 +309,29 @@ MODULE moduleMesh1DCart
     END SUBROUTINE partialDerSegm
 
     !Computes local stiffness matrix
-    PURE FUNCTION elemKSegm(self) RESULT(ke)
+    FUNCTION elemKSegm(self) RESULT(ke)
       IMPLICIT NONE
 
       CLASS(meshVol1DCartSegm), INTENT(in):: self
       REAL(8):: ke(1:2,1:2)
       REAL(8):: Xii(1:3)
       REAL(8):: dPsi(1:1, 1:2)
-      REAL(8):: invJ
+      REAL(8):: invJ(1), detJ
+      INTEGER:: l
 
       ke      = 0.D0
-      Xii     = (/ 0.D0, 0.D0, 0.D0 /)
-      dPsi    = self%dPsi(Xii)
-      invJ    = self%invJac(Xii, dPsi)
-      ke(1,:) = (/ dPsi(1,1)*dPsi(1,1), dPsi(1,1)*dPsi(1,2) /) 
-      ke(2,:) = (/ dPsi(1,2)*dPsi(1,1), dPsi(1,2)*dPsi(1,2) /) 
-      ke      = 2.D0*ke*invJ
+      Xii     = 0.D0
+
+      DO l = 1, 3
+        xii(1) = corSeg(l)
+        dPsi    = self%dPsi(Xii)
+        detJ    = self%detJac(Xii, dPsi)
+        invJ    = self%invJac(Xii, dPsi)
+        ke      = ke + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
+                              RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
+                       wSeg(l)/detJ
+
+      END DO
 
     END FUNCTION elemKSegm
 
@@ -348,14 +342,22 @@ MODULE moduleMesh1DCart
       REAL(8), INTENT(in):: source(1:)
       REAL(8), ALLOCATABLE:: localF(:)
       REAL(8):: fPsi(1:2)
-      REAL(8):: detJ
+      REAL(8):: detJ, f
       REAL(8):: Xii(1:3)
+      INTEGER:: l
 
-      Xii = 0.D0
-      fPsi = self%fPsi(Xii)
-      detJ = self%detJac(Xii)
       ALLOCATE(localF(1:2))
-      localF = 2.D0*DOT_PRODUCT(fPsi, source)*detJ
+      localF = 0.D0
+      Xii    = 0.D0
+
+      DO l = 1, 3
+        xii(1) = corSeg(l)
+        detJ   = self%detJac(Xii)
+        fPsi   = self%fPsi(Xii)
+        f      = DOT_PRODUCT(fPsi, source)
+        localF = localF + f*fPsi*wSeg(l)*detJ
+
+      END DO
 
     END FUNCTION elemFSegm
 
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 1d2bdba..d0f8311 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -153,23 +153,7 @@ MODULE moduleMesh1DRad
       ALLOCATE(self%fboundary(1:nSpecies))
       !Assign functions to boundary
       DO s = 1, nSpecies
-        SELECT TYPE(obj => self%boundary%bTypes(s)%obj)
-        TYPE IS(boundaryAbsorption)
-          self%fBoundary(s)%apply => absorption
-
-        TYPE IS(boundaryReflection)
-          self%fBoundary(s)%apply => reflection
-
-        TYPE IS(boundaryTransparent)
-          self%fBoundary(s)%apply => transparent
-
-        TYPE IS(boundaryWallTemperature)
-          self%fBoundary(s)%apply => wallTemperature
-
-        CLASS DEFAULT
-          CALL criticalError("Boundary type not defined in this geometry", 'initEdge1DRad')
-
-        END SELECT
+        CALL pointBoundaryFunction(self, s)
 
       END DO
 
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index ac22b28..40c218c 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -200,23 +200,7 @@ MODULE moduleMesh2DCart
       ALLOCATE(self%fboundary(1:nSpecies))
       !Assign functions to boundary
       DO s = 1, nSpecies
-        SELECT TYPE(obj => self%boundary%bTypes(s)%obj)
-        TYPE IS(boundaryAbsorption)
-          self%fBoundary(s)%apply => absorption
-
-        TYPE IS(boundaryReflection)
-          self%fBoundary(s)%apply => reflection
-
-        TYPE IS(boundaryTransparent)
-          self%fBoundary(s)%apply => transparent
-
-        TYPE IS(boundaryWallTemperature)
-          self%fBoundary(s)%apply => wallTemperature
-
-        CLASS DEFAULT
-          CALL criticalError("Boundary type not defined in this geometry", 'initEdge2DCart')
-
-        END SELECT
+        CALL pointBoundaryFunction(self, s)
 
       END DO
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 8ef5c6d..e0f3a27 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -200,26 +200,7 @@ MODULE moduleMesh2DCyl
       ALLOCATE(self%fboundary(1:nSpecies))
       !Assign functions to boundary
       DO s = 1, nSpecies
-        SELECT TYPE(obj => self%boundary%bTypes(s)%obj)
-        TYPE IS(boundaryAbsorption)
-          self%fBoundary(s)%apply => absorption
-
-        TYPE IS(boundaryReflection)
-          self%fBoundary(s)%apply => reflection
-
-        TYPE IS(boundaryTransparent)
-          self%fBoundary(s)%apply => transparent
-
-        TYPE IS(boundaryWallTemperature)
-          self%fBoundary(s)%apply => wallTemperature
-
-        TYPE IS(boundaryAxis)
-          self%fBoundary(s)%apply => symmetryAxis
-
-        CLASS DEFAULT
-          CALL criticalError("Boundary type not defined in this geometry", 'initEdge2DCyl')
-
-        END SELECT
+        CALL pointBoundaryFunction(self, s)
 
       END DO
 
@@ -459,7 +440,9 @@ MODULE moduleMesh2DCyl
           detJ      = self%detJac(xi,dPsi)
           invJ      = self%invJac(xi,dPsi)
           r         = DOT_PRODUCT(fPsi,self%r)
-          ke        = ke + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*r*wQuad(l)*wQuad(m)/detJ
+          ke        = ke + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
+                                            MATMUL(invJ,dPsi))* &
+                           r*wQuad(l)*wQuad(m)/detJ
 
         END DO
       END DO
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 1c713c9..e1b8907 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -166,23 +166,7 @@ MODULE moduleMesh3DCart
       ALLOCATE(self%fBoundary(1:nSpecies))
       !Assign functions to boundary
       DO s = 1, nSpecies
-        SELECT TYPE(obj => self%boundary%bTypes(s)%obj)
-        TYPE IS(boundaryAbsorption)
-          self%fBoundary(s)%apply => absorption
-
-        TYPE IS(boundaryReflection)
-          self%fBoundary(s)%apply => reflection
-
-        TYPE IS(boundaryTransparent)
-          self%fBoundary(s)%apply => transparent
-
-        TYPE IS(boundaryWallTemperature)
-          self%fBoundary(s)%apply => wallTemperature
-
-        CLASS DEFAULT
-          CALL criticalError("Boundary type not defined in this geometry", 'initEdge3DCart')
-
-        END SELECT
+        CALL pointBoundaryFunction(self, s)
 
       END DO
 
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 97602f4..2252b84 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -108,6 +108,85 @@ MODULE moduleMeshBoundary
 
     END SUBROUTINE wallTemperature
 
+    !Ionization surface: an electron will pass through the surface
+    ! and create an ion-electron pair based on a neutral background
+    SUBROUTINE ionization(edge, part)
+      USE moduleList
+      USE moduleSpecies
+      USE moduleMesh
+      USE moduleRefParam
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+      REAL(8):: vRel, eRel, mRel !relative velocity, energy and mass
+      REAL(8):: ionizationRate
+      INTEGER:: ionizationPair, p
+      TYPE(particle), POINTER:: newElectron
+      TYPE(particle), POINTER:: newIon
+
+      SELECT TYPE(bound => edge%boundary%bTypes(part%sp)%obj)
+      TYPE IS(boundaryIonization)
+        mRel = (bound%m0*species(part%sp)%obj%m)*(bound%m0+species(part%sp)%obj%m)
+        vRel = SUM(DABS(part%v-bound%v0))
+        eRel = mRel*vRel**2*5.D-1
+
+        IF (eRel > bound%eThreshold) THEN
+          !TODO: Check units
+          ionizationRate = bound%n0*bound%crossSection%get(eRel)
+
+          ionizationPair = INT(ionizationRate*tauMin*ti_ref/species(bound%sp)%obj%weight)
+
+          !Create the new pair of particles
+          DO p = 1, ionizationPair
+            ALLOCATE(newElectron)
+            ALLOCATE(newIon)
+
+            newElectron%sp = part%sp
+            newIon%sp      = bound%sp
+
+            newElectron%v = 10.D0*bound%v0 + (1.D0 + bound%deltaV/NORM2(bound%v0))
+            newIon%v      = bound%v0
+
+            newElectron%r = edge%randPos()
+            newIon%r      = newElectron%r
+
+            newElectron%vol = part%vol
+            newIon%vol      = part%vol
+
+            newElectron%xi = mesh%vols(part%vol)%obj%phy2log(newElectron%r)
+            newIon%xi      = newElectron%xi
+
+            newElectron%qm = part%qm
+            SELECT TYPE(spe => species(bound%sp)%obj)
+            TYPE IS(speciesCharged)
+              newIon%qm = spe%qm
+
+            END SELECT
+
+            newElectron%weight = species(bound%sp)%obj%weight
+            newIon%weight      = newElectron%weight
+
+            newElectron%n_in = .TRUE.
+            newIon%n_in      = .TRUE.
+
+            !Add particles to list
+            CALL OMP_SET_LOCK(lockSurfaces)
+            CALL partSurfaces%add(newElectron)
+            CALL partSurfaces%add(newIon)
+            CALL OMP_UNSET_LOCK(lockSurfaces)
+
+          END DO
+
+          !Removes ionizing electron
+          part%n_in = .FALSE.
+
+        END IF
+
+      END SELECT
+
+    END SUBROUTINE ionization
+
     !Symmetry axis. Dummy function
     SUBROUTINE symmetryAxis(edge, part)
       USE moduleSpecies
@@ -118,4 +197,38 @@ MODULE moduleMeshBoundary
 
     END SUBROUTINE symmetryAxis
 
+    !Points the boundary function to specific type
+    SUBROUTINE pointBoundaryFunction(edge, s)
+      USE moduleErrors
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      INTEGER, INTENT(in):: s !Species index
+
+      SELECT TYPE(obj => edge%boundary%bTypes(s)%obj)
+      TYPE IS(boundaryAbsorption)
+        edge%fBoundary(s)%apply => absorption
+
+      TYPE IS(boundaryReflection)
+        edge%fBoundary(s)%apply => reflection
+
+      TYPE IS(boundaryTransparent)
+        edge%fBoundary(s)%apply => transparent
+
+      TYPE IS(boundaryWallTemperature)
+        edge%fBoundary(s)%apply => wallTemperature
+
+      TYPE IS(boundaryIonization)
+        edge%fBoundary(s)%apply => ionization
+
+      TYPE IS(boundaryAxis)
+        edge%fBoundary(s)%apply => symmetryAxis
+
+      CLASS DEFAULT
+        CALL criticalError("Boundary type not defined in this geometry", 'pointBoundaryFunction')
+
+      END SELECT
+
+    END SUBROUTINE pointBoundaryFunction
+
 END MODULE moduleMeshBoundary
diff --git a/src/modules/moduleBoundary.f90 b/src/modules/moduleBoundary.f90
index 0f54ee9..66a98df 100644
--- a/src/modules/moduleBoundary.f90
+++ b/src/modules/moduleBoundary.f90
@@ -1,4 +1,5 @@
 MODULE moduleBoundary
+  USE moduleTable
 
   !Generic type for boundaries
   TYPE, PUBLIC:: boundaryGeneric
@@ -24,7 +25,7 @@ MODULE moduleBoundary
 
   END TYPE boundaryTransparent
 
-  !Transparent boundary
+  !Wall Temperature boundary
   TYPE, PUBLIC, EXTENDS(boundaryGeneric):: boundaryWallTemperature
     !Thermal velocity of the wall: square root(Wall temperature X specific heat)
     REAL(8):: vTh
@@ -32,6 +33,18 @@ MODULE moduleBoundary
 
   END TYPE boundaryWallTemperature
 
+  !Ionization boundary
+  TYPE, PUBLIC, EXTENDS(boundaryGeneric):: boundaryIonization
+    REAL(8):: m0, n0, v0(1:3), T0 !Properties of background neutrals.
+    INTEGER:: sp !Ion species
+    TYPE(table1D):: crossSection
+    REAL(8):: eThreshold
+    REAL(8):: deltaV
+
+    CONTAINS
+
+  END TYPE boundaryIonization
+
   !Symmetry axis
   TYPE, PUBLIC, EXTENDS(boundaryGeneric):: boundaryAxis
     CONTAINS
@@ -86,4 +99,34 @@ MODULE moduleBoundary
 
     END SUBROUTINE initWallTemperature
 
+    SUBROUTINE initIonization(boundary, m0, n0, v0, T0, speciesID, crossSection, eThreshold)
+      USE moduleRefParam
+      USE moduleSpecies
+      USE moduleCaseParam
+      USE moduleConstParam
+      IMPLICIT NONE
+
+      CLASS(boundaryGeneric), ALLOCATABLE, INTENT(out):: boundary
+      REAL(8), INTENT(in):: m0, n0, v0(1:3), T0
+      INTEGER:: speciesID
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: crossSection
+      REAL(8), INTENT(in):: eThreshold
+
+      ALLOCATE(boundaryIonization:: boundary)
+
+      SELECT TYPE(boundary)
+      TYPE IS(boundaryIonization)
+        boundary%m0 = m0 / m_ref
+        boundary%n0 = n0
+        boundary%v0 = v0 / v_ref
+        boundary%T0 = T0 / T_ref
+        boundary%sp = speciesID
+        CALL boundary%crossSection%init(crossSection)
+        CALL boundary%crossSection%convert(eV2J/(m_ref*v_ref**2), 1.D0/L_ref**2)
+        boundary%eThreshold = eThreshold*eV2J/(m_ref*v_ref**2)
+
+      END SELECT
+
+    END SUBROUTINE initIonization
+
 END MODULE moduleBoundary
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 9a02cb1..becf0a6 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -98,6 +98,10 @@ MODULE moduleInject
         !Input current in Ampers
         self%nParticles = INT(flow*tauMin*ti_ref/(qe*species(sp)%obj%weight))
 
+      CASE ("part/s")
+        !Input current in Ampers
+        self%nParticles = INT(flow*tauMin*ti_ref/species(sp)%obj%weight)
+
       CASE DEFAULT
         CALL criticalError("No support for units: " // units, 'initInject')
         
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 13d43e3..897ddb2 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -599,6 +599,13 @@ MODULE moduleInput
       CHARACTER(2):: istring, sString
       CHARACTER(:), ALLOCATABLE:: object, bType
       REAL(8):: Tw, cw !Wall temperature and specific heat
+      !Neutral Properties
+      REAL(8):: m0, n0
+      REAL(8), DIMENSION(:), ALLOCATABLE:: v0
+      REAL(8):: T0
+      REAL(8):: eThreshold !Energy threshold
+      INTEGER:: speciesID
+      CHARACTER(:), ALLOCATABLE:: speciesName, crossSection
       LOGICAL:: found
       INTEGER:: nTypes
 
@@ -628,6 +635,25 @@ MODULE moduleInput
           CASE('transparent')
             ALLOCATE(boundaryTransparent:: boundary(i)%bTypes(s)%obj)
 
+          CASE('ionization')
+            CALL config%get(object // '.neutral.name', speciesName, found)
+            IF (.NOT. found) CALL criticalError("missing parameter 'name' for neutrals in ionization", 'readBoundary')
+            speciesID = speciesName2Index(speciesName)
+            CALL config%get(object // '.neutral.mass', m0, found)
+            IF (.NOT. found) CALL criticalError("missing parameter 'mass' for neutrals in ionization", 'readBoundary')
+            CALL config%get(object // '.neutral.density', n0, found)
+            IF (.NOT. found) CALL criticalError("missing parameter 'density' for neutrals in ionization", 'readBoundary')
+            CALL config%get(object // '.neutral.velocity', v0, found)
+            IF (.NOT. found) CALL criticalError("missing parameter 'velocity' for neutrals in ionization", 'readBoundary')
+            CALL config%get(object // '.neutral.temperature', T0, found)
+            IF (.NOT. found) CALL criticalError("missing parameter 'temperature' for neutrals in ionization", 'readBoundary')
+            CALL config%get(object // '.energyThreshold', eThreshold, found)
+            IF (.NOT. found) CALL criticalError("missing parameter 'eThreshold' in ionization", 'readBoundary')
+            CALL config%get(object // '.crossSection', crossSection, found)
+            IF (.NOT. found) CALL criticalError("missing parameter 'crossSection' for neutrals in ionization", 'readBoundary')
+
+            CALL initIonization(boundary(i)%bTypes(s)%obj, m0, n0, v0, T0, speciesID, crossSection, eThreshold)
+
           CASE('wallTemperature')
             CALL config%get(object // '.temperature', Tw, found)
             IF (.NOT. found) CALL criticalError("temperature not found for wallTemperature boundary type", 'readBoundary')
diff --git a/src/modules/moduleList.f90 b/src/modules/moduleList.f90
index 15c4b23..c08061a 100644
--- a/src/modules/moduleList.f90
+++ b/src/modules/moduleList.f90
@@ -24,6 +24,8 @@ MODULE moduleList
   INTEGER(KIND=OMP_LOCK_KIND):: lockWScheme !Lock for the NA list of particles
   TYPE(listNode):: partCollisions !Particles created in collisional process
   INTEGER(KIND=OMP_LOCK_KIND):: lockCollisions !Lock for the NA list of particles
+  TYPE(listNode):: partSurfaces !Particles created in surface interactions
+  INTEGER(KIND=OMP_LOCK_KIND):: lockSurfaces !Lock for the NA list of particles
   TYPE(listNode):: partInitial !Initial distribution of particles
 
   TYPE pointerArray
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index 4b0124e..d75f073 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -437,7 +437,7 @@ MODULE moduleSolver
 
       INTEGER:: nn, n, e
       INTEGER, SAVE:: nPartNew
-      INTEGER, SAVE:: nInjIn, nOldIn, nWScheme, nCollisions
+      INTEGER, SAVE:: nInjIn, nOldIn, nWScheme, nCollisions, nSurfaces
       TYPE(particle), ALLOCATABLE, SAVE:: partTemp(:)
       TYPE(lNode), POINTER:: partCurr, partNext
 
@@ -458,13 +458,15 @@ MODULE moduleSolver
       nWScheme = partWScheme%amount
       !$OMP SECTION
       nCollisions = partCollisions%amount
+      !$OMP SECTION
+      nSurfaces = partSurfaces%amount
       !$OMP END SECTIONS
 
       !$OMP BARRIER
 
       !$OMP SINGLE
       CALL MOVE_ALLOC(partOld, partTemp)
-      nPartNew = nInjIn + nOldIn + nWScheme + nCollisions
+      nPartNew = nInjIn + nOldIn + nWScheme + nCollisions + nSurfaces
       ALLOCATE(partOld(1:nPartNew))
       !$OMP END SINGLE
 
@@ -522,6 +524,21 @@ MODULE moduleSolver
       IF (ASSOCIATED(partCollisions%tail)) NULLIFY(partCollisions%tail)
       partCollisions%amount = 0
 
+      !$OMP SECTION
+      !Reset particles from surface process
+      nn = nInjIn + nOldIn + nWScheme + nCollisions
+      partCurr => partSurfaces%head
+      DO n = 1, nSurfaces
+        partNext => partCurr%next
+        partOld(nn+n) = partCurr%part
+        DEALLOCATE(partCurr)
+        partCurr => partNext
+
+      END DO
+      IF (ASSOCIATED(partSurfaces%head)) NULLIFY(partSurfaces%head)
+      IF (ASSOCIATED(partSurfaces%tail)) NULLIFY(partSurfaces%tail)
+      partSurfaces%amount = 0
+
       !$OMP SECTION
       !Reset output in nodes
       DO e = 1, mesh%numNodes

From db6b0a2c03128352af55a0abf9b102304a57125d Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 22 Mar 2021 12:39:34 +0100
Subject: [PATCH 014/203] Fixed an issue with reflection of particles in all
 geometries and also assigning the normal vector in 2D and 3D.

3D Cartesian geometry is working properly, although it needs testing.

Still issue with ionization boundary.
---
 src/makefile                                  |   2 +-
 src/modules/makefile                          |   6 +-
 src/modules/mesh/1DCart/moduleMesh1DCart.f90  |   7 +-
 src/modules/mesh/1DRad/moduleMesh1DRad.f90    |  56 +++--
 src/modules/mesh/2DCart/moduleMesh2DCart.f90  |  25 ++-
 .../mesh/2DCart/moduleMesh2DCartRead.f90      |  70 +++---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    |  26 ++-
 .../mesh/2DCyl/moduleMesh2DCylRead.f90        |  90 +++++---
 src/modules/mesh/3DCart/moduleMesh3DCart.f90  |  41 ++--
 .../mesh/3DCart/moduleMesh3DCartRead.f90      | 211 +++++++++---------
 src/modules/mesh/moduleMesh.f90               |   4 +-
 src/modules/mesh/moduleMeshBoundary.f90       |  20 +-
 src/modules/moduleInject.f90                  |   3 +-
 src/modules/moduleMath.f90                    |  42 ++++
 src/modules/moduleOutput.f90                  |  11 +-
 15 files changed, 349 insertions(+), 265 deletions(-)
 create mode 100644 src/modules/moduleMath.f90

diff --git a/src/makefile b/src/makefile
index 7bb277a..b398134 100644
--- a/src/makefile
+++ b/src/makefile
@@ -3,7 +3,7 @@ OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/module
 			  	$(OBJDIR)/moduleErrors.o $(OBJDIR)/moduleList.o $(OBJDIR)/moduleOutput.o \
 			  	$(OBJDIR)/moduleBoundary.o $(OBJDIR)/moduleCaseParam.o $(OBJDIR)/moduleRefParam.o \
 			  	$(OBJDIR)/moduleCollisions.o $(OBJDIR)/moduleTable.o $(OBJDIR)/moduleParallel.o \
-			  	$(OBJDIR)/moduleEM.o $(OBJDIR)/moduleRandom.o \
+			  	$(OBJDIR)/moduleEM.o $(OBJDIR)/moduleRandom.o  $(OBJDIR)/moduleMath.o \
 			  	$(OBJDIR)/moduleMesh3DCart.o $(OBJDIR)/moduleMesh3DCartRead.o	\
 			  	$(OBJDIR)/moduleMesh2DCyl.o  $(OBJDIR)/moduleMesh2DCylRead.o \
 			  	$(OBJDIR)/moduleMesh2DCart.o $(OBJDIR)/moduleMesh2DCartRead.o	\
diff --git a/src/modules/makefile b/src/modules/makefile
index 28fc4ec..cea6d73 100644
--- a/src/modules/makefile
+++ b/src/modules/makefile
@@ -2,11 +2,11 @@
 OBJS = moduleCaseParam.o moduleCompTime.o moduleList.o \
 		   moduleOutput.o moduleInput.o moduleSolver.o \
 			 moduleCollisions.o moduleTable.o moduleParallel.o \
-			 moduleEM.o moduleRandom.o
+			 moduleEM.o moduleRandom.o moduleMath.o
 
 all: $(OBJS) mesh.o
 
-mesh.o: moduleCollisions.o moduleBoundary.o
+mesh.o: moduleCollisions.o moduleBoundary.o moduleMath.o
 	$(MAKE) -C mesh all
 
 moduleCollisions.o: moduleRandom.o moduleTable.o moduleSpecies.o moduleRefParam.o moduleConstParam.o moduleCollisions.f90
@@ -21,7 +21,7 @@ moduleInject.o: moduleRandom.o moduleSpecies.o moduleSolver.o moduleInject.f90
 moduleList.o: moduleSpecies.o moduleErrors.o moduleList.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleOutput.o: moduleSpecies.o moduleRefParam.o moduleOutput.f90
+moduleOutput.o: moduleMath.o moduleSpecies.o moduleRefParam.o moduleOutput.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
 moduleRandom.o: moduleConstParam.o moduleRandom.f90
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 366fa84..020b971 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -148,7 +148,6 @@ MODULE moduleMesh1DCart
       self%x = r1(1)
 
       self%normal = (/ 1.D0, 0.D0, 0.D0 /)
-      self%normal = self%normal/NORM2(self%normal)
 
       !Boundary index
       self%boundary => boundary(bt)
@@ -176,11 +175,11 @@ MODULE moduleMesh1DCart
 
     END FUNCTION getNodes1DCart
 
-    PURE FUNCTION intersection1DCart(self, r0, v0) RESULT(r)
+    PURE FUNCTION intersection1DCart(self, r0) RESULT(r)
       IMPLICIT NONE
 
       CLASS(meshEdge1DCart), INTENT(in):: self
-      REAL(8), DIMENSION(1:3), INTENT(in):: r0, v0
+      REAL(8), DIMENSION(1:3), INTENT(in):: r0
       REAL(8), DIMENSION(1:3):: r
 
       r = (/ self%x, 0.D0, 0.D0 /)
@@ -383,7 +382,7 @@ MODULE moduleMesh1DCart
     END FUNCTION insideSegm
 
     SUBROUTINE scatterSegm(self, part)
-      USE moduleOutput
+      USE moduleMath
       USE moduleSpecies
       IMPLICIT NONE
 
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index d0f8311..08609cd 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -7,6 +7,9 @@ MODULE moduleMesh1DRad
   USE moduleMeshBoundary
   IMPLICIT NONE
 
+  REAL(8), PARAMETER:: corSeg(1:3) = (/ -DSQRT(3.D0/5.D0), 0.D0,       DSQRT(3.D0/5.D0) /)
+  REAL(8), PARAMETER:: wSeg(1:3)  = (/        5.D0/9.D0 , 8.D0/9.D0,        5.D0/9.D0  /)
+
   TYPE, PUBLIC, EXTENDS(meshNode):: meshNode1DRad
     !Element coordinates
     REAL(8):: r = 0.D0
@@ -174,11 +177,11 @@ MODULE moduleMesh1DRad
 
     END FUNCTION getNodes1DRad
 
-    PURE FUNCTION intersection1DRad(self, r0, v0) RESULT(r)
+    PURE FUNCTION intersection1DRad(self, r0) RESULT(r)
       IMPLICIT NONE
 
       CLASS(meshEdge1DRad), INTENT(in):: self
-      REAL(8), DIMENSION(1:3), INTENT(in):: r0, v0
+      REAL(8), DIMENSION(1:3), INTENT(in):: r0
       REAL(8), DIMENSION(1:3):: r
 
       r = (/ self%r, 0.D0, 0.D0 /)
@@ -317,19 +320,26 @@ MODULE moduleMesh1DRad
       REAL(8):: ke(1:2,1:2)
       REAL(8):: Xii(1:3)
       REAL(8):: dPsi(1:1, 1:2)
-      REAL(8):: invJ
+      REAL(8):: invJ(1), detJ
       REAL(8):: r, fPsi(1:2)
+      INTEGER:: l
 
       ke      = 0.D0
       Xii     = 0.D0
-      dPsi    = self%dPsi(Xii)
-      invJ    = self%invJac(Xii, dPsi)
-      fPsi    = self%fPsi(Xii)
-      r       = DOT_PRODUCT(fPsi, self%r)
-      ke(1,:) = (/ dPsi(1,1)*dPsi(1,1), dPsi(1,1)*dPsi(1,2) /) 
-      ke(2,:) = (/ dPsi(1,2)*dPsi(1,1), dPsi(1,2)*dPsi(1,2) /) 
-      ke      = 2.D0*ke*invJ
-      ke      = ke*r*PI2
+      DO l = 1, 3
+        xii(1) = corSeg(l)
+        dPsi    = self%dPsi(Xii)
+        detJ    = self%detJac(Xii, dPsi)
+        invJ    = self%invJac(Xii, dPsi)
+        fPsi    = self%fPsi(Xii)
+        r       = DOT_PRODUCT(fPsi, self%r)
+        ke      = ke + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
+                              RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
+                       r*wSeg(l)/detJ
+
+      END DO
+
+      ke      = ke*PI2
 
     END FUNCTION elemKRad
 
@@ -341,17 +351,23 @@ MODULE moduleMesh1DRad
       REAL(8), INTENT(in):: source(1:)
       REAL(8), ALLOCATABLE:: localF(:)
       REAL(8):: fPsi(1:2)
-      REAL(8):: r
-      REAL(8):: detJ
+      REAL(8):: detJ, f, r
       REAL(8):: Xii(1:3)
+      INTEGER:: l
 
-      Xii    = 0.D0
-      fPsi   = self%fPsi(Xii)
-      detJ   = self%detJac(Xii)
-      r      = DOT_PRODUCT(fPsi,self%r)
       ALLOCATE(localF(1:2))
-      localF = 2.D0*DOT_PRODUCT(fPsi, source)*detJ
-      localF = localF*r*PI2
+      localF = 0.D0
+      Xii    = 0.D0
+
+      DO l = 1, 3
+        xii(1) = corSeg(l)
+        detJ   = self%detJac(Xii)
+        fPsi   = self%fPsi(Xii)
+        r      = DOT_PRODUCT(fPsi, self%r)
+        f      = DOT_PRODUCT(fPsi, source)
+        localF = localF + f*fPsi*r*wSeg(l)*detJ
+
+      END DO
 
     END FUNCTION elemFRad
 
@@ -377,7 +393,7 @@ MODULE moduleMesh1DRad
     END FUNCTION insideRad
 
     SUBROUTINE scatterRad(self, part)
-      USE moduleOutput
+      USE moduleMath
       USE moduleSpecies
       IMPLICIT NONE
 
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 40c218c..10b12fe 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -190,9 +190,9 @@ MODULE moduleMesh2DCart
       self%x  = (/r1(1), r2(1)/)
       self%y  = (/r1(2), r2(2)/)
       !Normal vector
-      self%normal = (/ self%y(2)-self%y(1), &
-                       self%x(2)-self%x(1), &
-                       0.D0 /)
+      self%normal = (/ -(self%y(2)-self%y(1)), &
+                         self%x(2)-self%x(1) , &
+                         0.D0 /)
       self%normal = self%normal/NORM2(self%normal)
 
       !Boundary index
@@ -243,20 +243,21 @@ MODULE moduleMesh2DCart
 
     END FUNCTION getNodes2DCart
 
-    PURE FUNCTION intersection2DCartEdge(self, r0, v0) RESULT(r)
+    PURE FUNCTION intersection2DCartEdge(self, r0) RESULT(r)
       IMPLICIT NONE
 
       CLASS(meshEdge2DCart), INTENT(in):: self
-      REAL(8), DIMENSION(1:3), INTENT(in):: r0, v0
+      REAL(8), DIMENSION(1:3), INTENT(in):: r0
       REAL(8), DIMENSION(1:3):: r
-      REAL(8), DIMENSION(1:3):: rS !base point of surface
-      REAL(8):: d
+      REAL(8), DIMENSION(1:3):: edge0, edgeV
+      REAL(8):: tI
 
-      rS = (/ self%x(1), self%y(1), 0.D0 /)
+      edge0 = (/self%x(1), self%y(1), 0.D0 /)
+      edgeV = (/self%x(2), self%y(2), 0.D0 /) - edge0
 
-      d = DOT_PRODUCT((rS - r0), self%normal)/DOT_PRODUCT(v0, self%normal)
+      tI = DOT_PRODUCT(r0 - edge0, edgeV)/DOT_PRODUCT(edgeV, edgeV)
 
-      r = r0 + v0*d
+      r = edge0 + tI*edgeV
 
     END FUNCTION intersection2DCartEdge
 
@@ -496,7 +497,7 @@ MODULE moduleMesh2DCart
 
     !Scatter properties of particle into element nodes
     SUBROUTINE scatterQuad(self, part)
-      USE moduleOutput
+      USE moduleMath
       USE moduleSpecies
       IMPLICIT NONE
 
@@ -855,7 +856,7 @@ MODULE moduleMesh2DCart
 
     !Scatter properties of particles into element
     SUBROUTINE scatterTria(self, part)
-      USE moduleOutput
+      USE moduleMath
       USE moduleSpecies
       IMPLICIT NONE
 
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90 b/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
index b0f2ee3..96664df 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
@@ -437,15 +437,15 @@ MODULE moduleMesh2DCartRead
         IF     (elemA%n1%n == elemB%n1%n .AND. &
                 elemA%n2%n == elemB%n2%n) THEN
           elemA%e1 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
+          elemB%e1 => elemA
 
         ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
                 elemA%n2%n == elemB%n1%n) THEN
           elemA%e1 => elemB
-          elemB%e1 => elemA
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
 
         END IF
 
@@ -456,15 +456,15 @@ MODULE moduleMesh2DCartRead
         IF     (elemA%n2%n == elemB%n1%n .AND. &
                 elemA%n3%n == elemB%n2%n) THEN
           elemA%e2 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
+          elemB%e1 => elemA
 
         ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
                 elemA%n3%n == elemB%n1%n) THEN
           elemA%e2 => elemB
-          elemB%e1 => elemA
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
 
         END IF
 
@@ -475,15 +475,15 @@ MODULE moduleMesh2DCartRead
         IF     (elemA%n3%n == elemB%n1%n .AND. &
                 elemA%n4%n == elemB%n2%n) THEN
           elemA%e3 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
+          elemB%e1 => elemA
 
         ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
                 elemA%n4%n == elemB%n1%n) THEN
           elemA%e3 => elemB
-          elemB%e1 => elemA
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
 
         END IF
 
@@ -494,15 +494,15 @@ MODULE moduleMesh2DCartRead
         IF     (elemA%n4%n == elemB%n1%n .AND. &
                 elemA%n1%n == elemB%n2%n) THEN
           elemA%e4 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
+          elemB%e1 => elemA
 
         ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
                 elemA%n1%n == elemB%n1%n) THEN
           elemA%e4 => elemB
-          elemB%e1 => elemA
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
 
         END IF
 
@@ -521,16 +521,16 @@ MODULE moduleMesh2DCartRead
         IF     (elemA%n1%n == elemB%n1%n .AND. &
                 elemA%n2%n == elemB%n2%n) THEN
           elemA%e1 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
+          elemB%e1 => elemA
 
         ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
                 elemA%n2%n == elemB%n1%n) THEN
           elemA%e1 => elemB
-          elemB%e1 => elemA
+          elemB%e2 => elemA
 
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+          
         END IF
 
       END IF
@@ -540,15 +540,15 @@ MODULE moduleMesh2DCartRead
         IF     (elemA%n2%n == elemB%n1%n .AND. &
                 elemA%n3%n == elemB%n2%n) THEN
           elemA%e2 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
+          elemB%e1 => elemA
 
         ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
                 elemA%n3%n == elemB%n1%n) THEN
           elemA%e2 => elemB
-          elemB%e1 => elemA
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
 
         END IF
 
@@ -559,15 +559,15 @@ MODULE moduleMesh2DCartRead
         IF     (elemA%n3%n == elemB%n1%n .AND. &
                 elemA%n1%n == elemB%n2%n) THEN
           elemA%e3 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
+          elemB%e1 => elemA
 
         ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
                 elemA%n1%n == elemB%n1%n) THEN
           elemA%e3 => elemB
-          elemB%e1 => elemA
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
 
         END IF
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index e0f3a27..d48af83 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -191,9 +191,9 @@ MODULE moduleMesh2DCyl
       self%z  = (/r1(1), r2(1)/)
       self%r  = (/r1(2), r2(2)/)
       !Normal vector
-      self%normal = (/ self%r(2)-self%r(1), &
-                       self%z(2)-self%z(1), &
-                       0.D0 /)
+      self%normal = (/ -(self%r(2)-self%r(1)), &
+                         self%z(2)-self%z(1) , &
+                         0.D0 /)
       self%normal = self%normal/NORM2(self%normal)
       !Boundary index
       self%boundary => boundary(bt)
@@ -221,20 +221,22 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION getNodes2DCyl
 
-    PURE FUNCTION intersection2DCylEdge(self, r0, v0) RESULT(r)
+    PURE FUNCTION intersection2DCylEdge(self, r0) RESULT(r)
+      USE moduleMath
       IMPLICIT NONE
 
       CLASS(meshEdge2DCyl), INTENT(in):: self
-      REAL(8), DIMENSION(1:3), INTENT(in):: r0, v0
+      REAL(8), DIMENSION(1:3), INTENT(in):: r0
       REAL(8), DIMENSION(1:3):: r
-      REAL(8), DIMENSION(1:3):: rS !base point of surface
-      REAL(8):: d
+      REAL(8), DIMENSION(1:3):: edge0, edgeV
+      REAL(8):: tI
 
-      rS = (/ self%z(1), self%r(1), 0.D0 /)
+      edge0 = (/self%z(1), self%r(1), 0.D0 /)
+      edgeV = (/self%z(2), self%r(2), 0.D0 /) - edge0
 
-      d = DOT_PRODUCT((rS - r0), self%normal)/DOT_PRODUCT(v0, self%normal)
+      tI = DOT_PRODUCT(r0 - edge0, edgeV)/DOT_PRODUCT(edgeV, edgeV)
 
-      r = r0 + v0*d
+      r = edge0 + tI*edgeV
 
     END FUNCTION intersection2DCylEdge
 
@@ -507,7 +509,7 @@ MODULE moduleMesh2DCyl
 
     !Scatter properties of particle into element nodes
     SUBROUTINE scatterQuad(self, part)
-      USE moduleOutput
+      USE moduleMath
       USE moduleSpecies
       IMPLICIT NONE
 
@@ -874,7 +876,7 @@ MODULE moduleMesh2DCyl
 
     !Scatter properties of particles into element
     SUBROUTINE scatterTria(self, part)
-      USE moduleOutput
+      USE moduleMath
       USE moduleSpecies
       IMPLICIT NONE
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90
index 379a0fb..cbe3faf 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90
@@ -217,6 +217,29 @@ MODULE moduleMesh2DCylRead
 
     END SUBROUTINE connectedVolEdge
 
+    PURE FUNCTION coincidentNodes(nodesA, nodesB) RESULT(coincident)
+      IMPLICIT NONE
+
+      INTEGER, DIMENSION(1:2), INTENT(in):: nodesA, nodesB
+      LOGICAL:: coincident
+      INTEGER:: i
+
+      coincident = .FALSE.
+      DO i = 1, 2
+        IF (ANY(nodesA(i) == nodesB)) THEN
+          coincident = .TRUE.
+
+        ELSE
+          coincident = .FALSE.
+          EXIT
+
+        END IF
+
+      END DO
+
+    END FUNCTION coincidentNodes
+
+
     SUBROUTINE connectedQuadQuad(elemA, elemB)
       IMPLICIT NONE
 
@@ -437,15 +460,15 @@ MODULE moduleMesh2DCylRead
         IF     (elemA%n1%n == elemB%n1%n .AND. &
                 elemA%n2%n == elemB%n2%n) THEN
           elemA%e1 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
+          elemB%e1 => elemA
 
         ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
                 elemA%n2%n == elemB%n1%n) THEN
           elemA%e1 => elemB
-          elemB%e1 => elemA
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
 
         END IF
 
@@ -456,15 +479,15 @@ MODULE moduleMesh2DCylRead
         IF     (elemA%n2%n == elemB%n1%n .AND. &
                 elemA%n3%n == elemB%n2%n) THEN
           elemA%e2 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
+          elemB%e1 => elemA
 
         ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
                 elemA%n3%n == elemB%n1%n) THEN
           elemA%e2 => elemB
-          elemB%e1 => elemA
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
 
         END IF
 
@@ -475,15 +498,15 @@ MODULE moduleMesh2DCylRead
         IF     (elemA%n3%n == elemB%n1%n .AND. &
                 elemA%n4%n == elemB%n2%n) THEN
           elemA%e3 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
+          elemB%e1 => elemA
 
         ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
                 elemA%n4%n == elemB%n1%n) THEN
           elemA%e3 => elemB
-          elemB%e1 => elemA
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
 
         END IF
 
@@ -494,12 +517,15 @@ MODULE moduleMesh2DCylRead
         IF     (elemA%n4%n == elemB%n1%n .AND. &
                 elemA%n1%n == elemB%n2%n) THEN
           elemA%e4 => elemB
-          elemB%e2 => elemA
+          elemB%e1 => elemA
 
         ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
                 elemA%n1%n == elemB%n1%n) THEN
           elemA%e4 => elemB
-          elemB%e1 => elemA
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
 
         END IF
 
@@ -518,15 +544,15 @@ MODULE moduleMesh2DCylRead
         IF     (elemA%n1%n == elemB%n1%n .AND. &
                 elemA%n2%n == elemB%n2%n) THEN
           elemA%e1 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
+          elemB%e1 => elemA
 
         ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
                 elemA%n2%n == elemB%n1%n) THEN
           elemA%e1 => elemB
-          elemB%e1 => elemA
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
 
         END IF
 
@@ -537,15 +563,15 @@ MODULE moduleMesh2DCylRead
         IF     (elemA%n2%n == elemB%n1%n .AND. &
                 elemA%n3%n == elemB%n2%n) THEN
           elemA%e2 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
+          elemB%e1 => elemA
 
         ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
                 elemA%n3%n == elemB%n1%n) THEN
           elemA%e2 => elemB
-          elemB%e1 => elemA
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
 
         END IF
 
@@ -556,15 +582,15 @@ MODULE moduleMesh2DCylRead
         IF     (elemA%n3%n == elemB%n1%n .AND. &
                 elemA%n1%n == elemB%n2%n) THEN
           elemA%e3 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
+          elemB%e1 => elemA
 
         ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
                 elemA%n1%n == elemB%n1%n) THEN
           elemA%e3 => elemB
-          elemB%e1 => elemA
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
 
         END IF
 
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 315cb42..ec7f2b1 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -134,6 +134,7 @@ MODULE moduleMesh3DCart
       USE moduleSpecies
       USE moduleBoundary
       USE moduleErrors
+      USE moduleMath
       IMPLICIT NONE
 
       CLASS(meshEdge3DCartTria), INTENT(out):: self
@@ -142,6 +143,7 @@ MODULE moduleMesh3DCart
       INTEGER, INTENT(in):: bt
       INTEGER, INTENT(in):: physicalSurface
       REAL(8), DIMENSION(1:3):: r1, r2, r3
+      REAL(8), DIMENSION(1:3):: vec1, vec2
       INTEGER:: s
 
       self%n = n
@@ -156,10 +158,14 @@ MODULE moduleMesh3DCart
       self%y  = (/r1(2), r2(2), r3(2)/)
       self%z  = (/r1(3), r2(3), r3(3)/)
       !Normal vector
-      self%normal = (/  (self%y(2)-self%y(1))*(self%z(3)-self%z(1)) - (self%z(2)-self%z(1))*(self%y(3)-self%y(1)), &
-                        (self%x(2)-self%x(1))*(self%z(3)-self%z(1)) - (self%z(2)-self%z(1))*(self%x(3)-self%x(1)), &
-                        (self%x(2)-self%x(1))*(self%y(3)-self%y(1)) - (self%z(2)-self%z(1))*(self%y(3)-self%y(1)) /)
-      self%normal = self%normal/NORM2(self%normal)
+      vec1 = (/ self%x(2) - self%x(1), &
+                self%y(2) - self%y(1), &
+                self%z(2) - self%z(1) /)
+      vec2 = (/ self%x(3) - self%x(1), &
+                self%y(3) - self%y(1), &
+                self%z(3) - self%z(1) /)
+      self%normal = crossProduct(vec1, vec2)
+      self%normal = normalize(self%normal)
 
       !Boundary index
       self%boundary => boundary(bt)
@@ -187,20 +193,21 @@ MODULE moduleMesh3DCart
 
     END FUNCTION getNodes3DCartTria
 
-    PURE FUNCTION intersection3DCartTria(self, r0, v0) RESULT(r)
+    PURE FUNCTION intersection3DCartTria(self, r0) RESULT(r)
       IMPLICIT NONE
 
       CLASS(meshEdge3DCartTria), INTENT(in):: self
-      REAL(8), DIMENSION(1:3), INTENT(in):: r0, v0
+      REAL(8), INTENT(in):: r0(1:3)
       REAL(8), DIMENSION(1:3):: r
-      REAL(8), DIMENSION(1:3):: rS !base point of surface
-      REAL(8):: d
+      REAL(8), DIMENSION(1:3):: edge0, edgeV
+      REAL(8):: tI
 
-      rS = (/ self%x(1), self%y(1), self%z(1) /)
+      edge0 = (/self%x(1), self%y(1), self%z(1) /)
+      edgeV = (/self%x(2), self%y(2), self%z(2) /) - edge0
 
-      d = DOT_PRODUCT((rS - r0), self%normal)/DOT_PRODUCT(v0, self%normal)
+      tI = DOT_PRODUCT(r0 - edge0, edgeV)/DOT_PRODUCT(edgeV, edgeV)
 
-      r = r0 + v0*d
+      r = edge0 + tI*edgeV
 
     END FUNCTION intersection3DCartTria
 
@@ -476,7 +483,7 @@ MODULE moduleMesh3DCart
     END FUNCTION insideTetra
 
     SUBROUTINE scatterTetra(self, part)
-      USE moduleOutput
+      USE moduleMath
       USE moduleSpecies
       IMPLICIT NONE
 
@@ -577,7 +584,7 @@ MODULE moduleMesh3DCart
       INTEGER:: nextInt
 
       !TODO: Review when connectivity
-      xiArray = (/ xi(3), xi(2), 1.D0 - xi(1) - xi(2) - xi(3), xi(1) /)
+      xiArray = (/ xi(3), 1.D0 - xi(1) - xi(2) - xi(3), xi(2), xi(1) /)
       nextInt = MINLOC(xiArray, 1)
       NULLIFY(nextElement)
       SELECT CASE(nextInt)
@@ -647,9 +654,11 @@ MODULE moduleMesh3DCart
       invJ(2,2) =  (dx(1)*dz(3) - dx(3)*dz(1))
       invJ(2,3) = -(dx(1)*dz(2) - dx(2)*dz(1))
 
-      invJ(3,1) = -(dx(2)*dy(3) - dx(3)*dy(2))
-      invJ(3,2) =  (dx(1)*dy(3) - dx(3)*dy(1))
-      invJ(3,3) = -(dx(1)*dy(2) - dx(2)*dy(1))
+      invJ(3,1) =  (dx(2)*dy(3) - dx(3)*dy(2))
+      invJ(3,2) = -(dx(1)*dy(3) - dx(3)*dy(1))
+      invJ(3,3) =  (dx(1)*dy(2) - dx(2)*dy(1))
+
+      invJ = TRANSPOSE(invJ)
 
     END FUNCTION invJ3DCart
 
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90 b/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
index c6b021a..01aef8e 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
@@ -269,25 +269,25 @@ MODULE moduleMesh3DCartRead
 
       !Check surface 2
       IF (.NOT. ASSOCIATED(elemA%e2)) THEN
-        IF     (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
+        IF     (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
                                 (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
 
           elemA%e2 => elemB
           elemB%e1 => elemA
 
-        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
+        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
                                 (/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
 
           elemA%e2 => elemB
           elemB%e2 => elemA
 
-        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
+        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
                                 (/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
 
           elemA%e2 => elemB
           elemB%e3 => elemA
 
-        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
+        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
                                 (/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
 
           elemA%e2 => elemB
@@ -299,25 +299,25 @@ MODULE moduleMesh3DCartRead
 
       !Check surface 3
       IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF     (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
+        IF     (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
                                 (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
 
           elemA%e3 => elemB
           elemB%e1 => elemA
 
-        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
                                 (/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
 
           elemA%e3 => elemB
           elemB%e2 => elemA
 
-        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
                                 (/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
 
           elemA%e3 => elemB
           elemB%e3 => elemA
 
-        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
                                 (/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
 
           elemA%e3 => elemB
@@ -328,7 +328,7 @@ MODULE moduleMesh3DCartRead
       END IF
 
       !Check surface 4
-      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
         IF     (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
                                 (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
 
@@ -360,77 +360,78 @@ MODULE moduleMesh3DCartRead
     END SUBROUTINE connectedTetraTetra
 
     SUBROUTINE connectedTetraEdge(elemA, elemB)
+      USE moduleMath
       IMPLICIT NONE
 
       CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemA
       CLASS(meshEdge3DCartTria), INTENT(inout), TARGET:: elemB
+      INTEGER:: nodesEdge(1:3)
+      REAL(8), DIMENSION(1:3):: vec1, vec2
+      REAL(8):: normVol(1:3)
+
+      nodesEdge = (/ elemB%n1%n, elemB%n2%n, elemB%n3%n /)
 
       !Check surface 1
       IF (.NOT. ASSOCIATED(elemA%e1)) THEN
-        IF     ((elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n3%n) .OR. &
-                (elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n2%n) .OR. &
-                (elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n1%n)) THEN
+        IF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elema%n3%n/), &
+                              nodesEdge)) THEN
 
-          elemA%e1 => elemB
-          elemB%e1 => elemA
+          vec1 = (/ elemA%x(2) - elemA%x(1), &
+                    elemA%y(2) - elemA%y(1), &
+                    elemA%z(2) - elemA%z(1) /)
+          vec2 = (/ elemA%x(3) - elemA%x(1), &
+                    elemA%y(3) - elemA%y(1), &
+                    elemA%z(3) - elemA%z(1) /)
+          normVol = crossProduct(vec1, vec2)
+          normVol = normalize(normVol)
 
-        ELSEIF ((elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n1%n) .OR. &
-                (elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n2%n) .OR. &
-                (elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n3%n)) THEN
+          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
 
-          elemA%e1 => elemB
-          elemB%e2 => elemA
+            elemA%e1 => elemB
+            elemB%e1 => elemA
 
-          !Revers the normal to point inside the domain
-          elemB%normal = -elemB%normal
+          ELSE
+
+            elemA%e1 => elemB
+            elemB%e2 => elemA
+
+            !Revers the normal to point inside the domain
+            elemB%normal = -elemB%normal
+
+          END IF
 
         END IF
 
-
       END IF
 
       !Check surface 2
       IF (.NOT. ASSOCIATED(elemA%e2)) THEN
-        IF     ((elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n3%n) .OR. &
-                (elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n2%n) .OR. &
-                (elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n1%n)) THEN
+        IF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
+                              nodesEdge)) THEN
 
-          elemA%e2 => elemB
-          elemB%e1 => elemA
+          vec1 = (/ elemA%x(3) - elemA%x(2), &
+                    elemA%y(3) - elemA%y(2), &
+                    elemA%z(3) - elemA%z(2) /)
+          vec2 = (/ elemA%x(4) - elemA%x(2), &
+                    elemA%y(4) - elemA%y(2), &
+                    elemA%z(4) - elemA%z(2) /)
+          normVol = crossProduct(vec1, vec2)
+          normVol = normalize(normVol)
 
-        ELSEIF ((elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n1%n) .OR. &
-                (elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n2%n) .OR. &
-                (elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n3%n)) THEN
+          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
 
-          elemA%e2 => elemB
-          elemB%e2 => elemA
+            elemA%e2 => elemB
+            elemB%e1 => elemA
 
-          !Revers the normal to point inside the domain
-          elemB%normal = -elemB%normal
+          ELSE
+
+            elemA%e2 => elemB
+            elemB%e2 => elemA
+
+            !Revers the normal to point inside the domain
+            elemB%normal = -elemB%normal
+
+          END IF
 
         END IF
 
@@ -438,66 +439,66 @@ MODULE moduleMesh3DCartRead
 
       !Check surface 3
       IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF     ((elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n3%n) .OR. &
-                (elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n2%n) .OR. &
-                (elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n1%n)) THEN
+        IF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elema%n4%n/), &
+                              nodesEdge)) THEN
 
-          elemA%e3 => elemB
-          elemB%e1 => elemA
+          vec1 = (/ elemA%x(2) - elemA%x(1), &
+                    elemA%y(2) - elemA%y(1), &
+                    elemA%z(2) - elemA%z(1) /)
+          vec2 = (/ elemA%x(4) - elemA%x(1), &
+                    elemA%y(4) - elemA%y(1), &
+                    elemA%z(4) - elemA%z(1) /)
+          normVol = crossProduct(vec1, vec2)
+          normVol = normalize(normVol)
 
-        ELSEIF ((elemA%n2%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n1%n) .OR. &
-                (elemA%n2%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n2%n) .OR. &
-                (elemA%n2%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n3%n)) THEN
+          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
 
-          elemA%e3 => elemB
-          elemB%e2 => elemA
+            elemA%e3 => elemB
+            elemB%e1 => elemA
 
-          !Revers the normal to point inside the domain
-          elemB%normal = -elemB%normal
+          ELSE
+
+            elemA%e3 => elemB
+            elemB%e2 => elemA
+
+            !Revers the normal to point inside the domain
+            elemB%normal = -elemB%normal
+
+          END IF
 
         END IF
 
       END IF
 
       !Check surface 4
-      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF     ((elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n3%n) .OR. &
-                (elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n2%n) .OR. &
-                (elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n1%n)) THEN
+      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
+        IF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elema%n4%n/), &
+                              nodesEdge)) THEN
 
-          elemA%e4 => elemB
-          elemB%e1 => elemA
+          vec1 = (/ elemA%x(3) - elemA%x(1), &
+                    elemA%y(3) - elemA%y(1), &
+                    elemA%z(3) - elemA%z(1) /)
+          vec2 = (/ elemA%x(4) - elemA%x(1), &
+                    elemA%y(4) - elemA%y(1), &
+                    elemA%z(4) - elemA%z(1) /)
+          normVol = crossProduct(vec1, vec2)
+          normVol = normalize(normVol)
 
-        ELSEIF ((elemA%n1%n == elemB%n3%n .AND. &
-                 elemA%n3%n == elemB%n2%n .AND. &
-                 elemA%n4%n == elemB%n1%n) .OR. &
-                (elemA%n1%n == elemB%n1%n .AND. &
-                 elemA%n3%n == elemB%n3%n .AND. &
-                 elemA%n4%n == elemB%n2%n) .OR. &
-                (elemA%n1%n == elemB%n2%n .AND. &
-                 elemA%n3%n == elemB%n1%n .AND. &
-                 elemA%n4%n == elemB%n3%n)) THEN
+          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
 
-          elemA%e4 => elemB
-          elemB%e2 => elemA
+            elemA%e4 => elemB
+            elemB%e1 => elemA
+
+
+          ELSE
+
+            elemA%e4 => elemB
+            elemB%e2 => elemA
+
+            !Revers the normal to point inside the domain
+            elemB%normal = -elemB%normal
+
+          END IF
 
         END IF
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index f5f7b47..137b256 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -97,10 +97,10 @@ MODULE moduleMesh
     END FUNCTION getNodesEdge_interface
 
     !Returns the intersecction between an edge and a line defined by point r0 and vector v0
-    PURE FUNCTION intersectionEdge_interface(self, r0, v0) RESULT(r)
+    PURE FUNCTION intersectionEdge_interface(self, r0) RESULT(r)
       IMPORT:: meshEdge
       CLASS(meshEdge), INTENT(in):: self
-      REAL(8), INTENT(in), DIMENSION(1:3):: r0, v0
+      REAL(8), INTENT(in), DIMENSION(1:3):: r0
       REAL(8):: r(1:3)
 
     END FUNCTION intersectionEdge_interface
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 2252b84..7f5fb88 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -13,30 +13,26 @@ MODULE moduleMeshBoundary
       !rp  = intersection between particle and edge
       !rpp = final position of particle
       !vpp = final velocity of particle
-      REAL(8), DIMENSION(1:3):: rp, rpp, vpp
+      REAL(8), DIMENSION(1:3):: rp, vpp
+      REAL(8):: tI
       REAL(8):: taup !time step for reflecting process
 
       !Reflect particle velocity
       vpp = part%v - 2.D0*DOT_PRODUCT(part%v, edge%normal)*edge%normal
+      part%v = vpp
 
-      !Computes the intersection between particle and surface
-      rp = edge%intersection(part%r, part%v)
+      rp = edge%intersection(part%r)
 
-      !Computes the reflection time step
-      taup = NORM2(part%r - rp)*tau(part%sp)
+      part%r = 2.D0*(rp - part%r) + part%r
 
-      !New position of particle
-      rpp = rp + vpp*taup
-
-      !assign new parameters to particle
-      part%r    = rpp
-      part%v    = vpp
+      !particle is assumed to be inside
       part%n_in = .TRUE.
 
     END SUBROUTINE reflection
 
     !Absoption in a surface
     SUBROUTINE absorption(edge, part)
+      USE moduleCaseParam
       USE moduleSpecies
       IMPLICIT NONE
 
@@ -45,7 +41,7 @@ MODULE moduleMeshBoundary
       REAL(8):: rpp(1:3) !Position of particle projected to the edge
       REAL(8):: d !Distance from particle to edge
 
-      rpp = edge%intersection(part%r, part%v)
+      rpp = edge%intersection(part%r)
 
       d = NORM2(rpp - part%r)
 
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index df9df48..9d50abc 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -200,6 +200,7 @@ MODULE moduleInject
       USE moduleSolver
       USE moduleMesh
       USE moduleRandom
+      USE moduleErrors
       IMPLICIT NONE
 
       CLASS(injectGeneric), INTENT(in):: self
@@ -241,7 +242,7 @@ MODULE moduleInject
           partInj(n)%vol = randomEdge%e2%n
 
         ELSE
-          PRINT *, "ERROR NO VOL ASSOCIATED TO EDGE"
+          CALL criticalError("No Volume associated to edge", 'addParticles') 
 
         END IF
 
diff --git a/src/modules/moduleMath.f90 b/src/modules/moduleMath.f90
new file mode 100644
index 0000000..213afa5
--- /dev/null
+++ b/src/modules/moduleMath.f90
@@ -0,0 +1,42 @@
+MODULE moduleMath
+  IMPLICIT NONE
+
+  CONTAINS
+    !Outer product of two tensors
+    PURE FUNCTION outerProduct(a,b) RESULT(s)
+      IMPLICIT NONE
+
+      REAL(8), DIMENSION(1:3), INTENT(in):: a, b
+      REAL(8):: s(1:3,1:3)
+
+      s = SPREAD(a, dim = 2, ncopies = 3)*SPREAD(b, dim = 1, ncopies = 3)
+
+    END FUNCTION outerProduct
+
+    !Cross product of two 3D vectors
+    PURE FUNCTION crossProduct(a, b) RESULT(c)
+      IMPLICIT NONE
+
+      REAL(8), DIMENSION(1:3), INTENT(in):: a, b
+      REAL(8), DIMENSION(1:3):: c
+
+      c = 0.D0
+
+      c(1) =   a(2)*b(3) - a(3)*b(2)
+      c(2) = -(a(1)*b(3) - a(3)*b(1))
+      c(3) =   a(1)*b(2) - a(2)*b(1)
+
+    END FUNCTION crossProduct
+
+    !Normalizes a 3D vector
+    PURE FUNCTION normalize(a) RESULT(b)
+      IMPLICIT NONE
+
+      REAL(8), DIMENSION(1:3), INTENT(in):: a
+      REAL(8), DIMENSION(1:3):: b
+      
+      b = a / NORM2(a)
+
+    END FUNCTION normalize
+
+END MODULE moduleMath
diff --git a/src/modules/moduleOutput.f90 b/src/modules/moduleOutput.f90
index b4b8317..963302d 100644
--- a/src/modules/moduleOutput.f90
+++ b/src/modules/moduleOutput.f90
@@ -31,16 +31,6 @@ MODULE moduleOutput
   LOGICAL:: emOutput   = .FALSE.
 
   CONTAINS
-    FUNCTION outerProduct(a,b) RESULT(s)
-      IMPLICIT NONE
-
-      REAL(8), DIMENSION(1:3):: a, b
-      REAL(8):: s(1:3,1:3)
-
-      s = SPREAD(a, dim = 2, ncopies = 3)*SPREAD(b, dim = 1, ncopies = 3)
-
-    END FUNCTION outerProduct
-
     FUNCTION tensorTrace(a) RESULT(t)
       IMPLICIT NONE
 
@@ -56,6 +46,7 @@ MODULE moduleOutput
       USE moduleConstParam
       USE moduleRefParam
       USE moduleSpecies
+      USE moduleMath
       IMPLICIT NONE
 
       TYPE(outputNode),   INTENT(in)::  rawValues

From 12e61731dfe96733a027235127fa423035e1823e Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 23 Mar 2021 16:43:11 +0100
Subject: [PATCH 015/203] Ionization boundary ready to testing.

Fixed an issue in which some particles in the corner were interacting
with the axis boundary. Now the axis acts as a reflective boundary in
case a particle is wrongly assigned to it.
---
 src/modules/mesh/moduleMeshBoundary.f90 | 29 +++++++++++++++++--------
 src/modules/moduleBoundary.f90          | 15 ++++++++-----
 src/modules/moduleInput.f90             |  9 +++++---
 3 files changed, 36 insertions(+), 17 deletions(-)

diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 7f5fb88..7553733 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -111,6 +111,7 @@ MODULE moduleMeshBoundary
       USE moduleSpecies
       USE moduleMesh
       USE moduleRefParam
+      USE moduleRandom
       IMPLICIT NONE
 
       CLASS(meshEdge), INTENT(inout):: edge
@@ -118,6 +119,7 @@ MODULE moduleMeshBoundary
       REAL(8):: vRel, eRel, mRel !relative velocity, energy and mass
       REAL(8):: ionizationRate
       INTEGER:: ionizationPair, p
+      REAL(8):: v0(1:3) !random velocity of neutral
       TYPE(particle), POINTER:: newElectron
       TYPE(particle), POINTER:: newIon
 
@@ -128,21 +130,26 @@ MODULE moduleMeshBoundary
         eRel = mRel*vRel**2*5.D-1
 
         IF (eRel > bound%eThreshold) THEN
-          !TODO: Check units
-          ionizationRate = bound%n0*bound%crossSection%get(eRel)
+          ionizationRate = part%weight*bound%n0*bound%crossSection%get(eRel)*vRel
 
-          ionizationPair = INT(ionizationRate*tauMin*ti_ref/species(bound%sp)%obj%weight)
+          !Rounds the number of particles up
+          ionizationPair = NINT(ionizationRate*bound%effectiveTime/species(bound%sp)%obj%weight)
 
           !Create the new pair of particles
           DO p = 1, ionizationPair
             ALLOCATE(newElectron)
             ALLOCATE(newIon)
 
+            !Assign random velocity to the neutral
+            v0(1) = bound%v0(1) + bound%vTh*randomMaxwellian()
+            v0(2) = bound%v0(2) + bound%vTh*randomMaxwellian()
+            v0(3) = bound%v0(3) + bound%vTh*randomMaxwellian()
+
             newElectron%sp = part%sp
             newIon%sp      = bound%sp
 
-            newElectron%v = 10.D0*bound%v0 + (1.D0 + bound%deltaV/NORM2(bound%v0))
-            newIon%v      = bound%v0
+            newElectron%v = v0 + (1.D0 + bound%deltaV*v0/NORM2(v0))
+            newIon%v      = v0
 
             newElectron%r = edge%randPos()
             newIon%r      = newElectron%r
@@ -174,16 +181,18 @@ MODULE moduleMeshBoundary
 
           END DO
 
-          !Removes ionizing electron
-          part%n_in = .FALSE.
-
         END IF
 
       END SELECT
 
+      !Removes ionizing electron regardless the number of pair created
+      part%n_in = .FALSE.
+
     END SUBROUTINE ionization
 
-    !Symmetry axis. Dummy function
+    !Symmetry axis. Reflects particles.
+    !Although this function should never be called, it is set as a reflective boundary
+    !to properly deal with possible particles reaching a corner and selecting this boundary.
     SUBROUTINE symmetryAxis(edge, part)
       USE moduleSpecies
       IMPLICIT NONE
@@ -191,6 +200,8 @@ MODULE moduleMeshBoundary
       CLASS(meshEdge), INTENT(inout):: edge
       CLASS(particle), INTENT(inout):: part
 
+      CALL reflection(edge, part)
+
     END SUBROUTINE symmetryAxis
 
     !Points the boundary function to specific type
diff --git a/src/modules/moduleBoundary.f90 b/src/modules/moduleBoundary.f90
index 66a98df..320bdad 100644
--- a/src/modules/moduleBoundary.f90
+++ b/src/modules/moduleBoundary.f90
@@ -35,9 +35,10 @@ MODULE moduleBoundary
 
   !Ionization boundary
   TYPE, PUBLIC, EXTENDS(boundaryGeneric):: boundaryIonization
-    REAL(8):: m0, n0, v0(1:3), T0 !Properties of background neutrals.
+    REAL(8):: m0, n0, v0(1:3), vTh !Properties of background neutrals.
     INTEGER:: sp !Ion species
     TYPE(table1D):: crossSection
+    REAL(8):: effectiveTime
     REAL(8):: eThreshold
     REAL(8):: deltaV
 
@@ -99,7 +100,7 @@ MODULE moduleBoundary
 
     END SUBROUTINE initWallTemperature
 
-    SUBROUTINE initIonization(boundary, m0, n0, v0, T0, speciesID, crossSection, eThreshold)
+    SUBROUTINE initIonization(boundary, me, m0, n0, v0, T0, speciesID, effTime, crossSection, eThreshold)
       USE moduleRefParam
       USE moduleSpecies
       USE moduleCaseParam
@@ -107,8 +108,10 @@ MODULE moduleBoundary
       IMPLICIT NONE
 
       CLASS(boundaryGeneric), ALLOCATABLE, INTENT(out):: boundary
-      REAL(8), INTENT(in):: m0, n0, v0(1:3), T0
+      REAL(8), INTENT(in):: me !Electron mass
+      REAL(8), INTENT(in):: m0, n0, v0(1:3), T0 !Neutral properties
       INTEGER:: speciesID
+      REAL(8):: effTime
       CHARACTER(:), ALLOCATABLE, INTENT(in):: crossSection
       REAL(8), INTENT(in):: eThreshold
 
@@ -117,13 +120,15 @@ MODULE moduleBoundary
       SELECT TYPE(boundary)
       TYPE IS(boundaryIonization)
         boundary%m0 = m0 / m_ref
-        boundary%n0 = n0
+        boundary%n0 = n0 * Vol_ref
         boundary%v0 = v0 / v_ref
-        boundary%T0 = T0 / T_ref
+        boundary%vTh = DSQRT(kb*T0/m0)/v_ref
         boundary%sp = speciesID
+        boundary%effectiveTime = effTime / ti_ref
         CALL boundary%crossSection%init(crossSection)
         CALL boundary%crossSection%convert(eV2J/(m_ref*v_ref**2), 1.D0/L_ref**2)
         boundary%eThreshold = eThreshold*eV2J/(m_ref*v_ref**2)
+        boundary%deltaV = DSQRT(boundary%eThreshold/me)
 
       END SELECT
 
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 96debdd..b7d8bc4 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -600,9 +600,9 @@ MODULE moduleInput
       CHARACTER(:), ALLOCATABLE:: object, bType
       REAL(8):: Tw, cw !Wall temperature and specific heat
       !Neutral Properties
-      REAL(8):: m0, n0
+      REAL(8):: m0, n0, T0
       REAL(8), DIMENSION(:), ALLOCATABLE:: v0
-      REAL(8):: T0
+      REAL(8):: effTime
       REAL(8):: eThreshold !Energy threshold
       INTEGER:: speciesID
       CHARACTER(:), ALLOCATABLE:: speciesName, crossSection
@@ -647,12 +647,15 @@ MODULE moduleInput
             IF (.NOT. found) CALL criticalError("missing parameter 'velocity' for neutrals in ionization", 'readBoundary')
             CALL config%get(object // '.neutral.temperature', T0, found)
             IF (.NOT. found) CALL criticalError("missing parameter 'temperature' for neutrals in ionization", 'readBoundary')
+            CALL config%get(object // '.effectiveTime', effTime, found)
+            IF (.NOT. found) CALL criticalError("missing parameter 'effectiveTime' for neutrals in ionization", 'readBoundary')
             CALL config%get(object // '.energyThreshold', eThreshold, found)
             IF (.NOT. found) CALL criticalError("missing parameter 'eThreshold' in ionization", 'readBoundary')
             CALL config%get(object // '.crossSection', crossSection, found)
             IF (.NOT. found) CALL criticalError("missing parameter 'crossSection' for neutrals in ionization", 'readBoundary')
 
-            CALL initIonization(boundary(i)%bTypes(s)%obj, m0, n0, v0, T0, speciesID, crossSection, eThreshold)
+            CALL initIonization(boundary(i)%bTypes(s)%obj, species(s)%obj%m, m0, n0, v0, T0, &
+                                                           speciesID, effTime, crossSection, eThreshold)
 
           CASE('wallTemperature')
             CALL config%get(object // '.temperature', Tw, found)

From 2a843547b81b490815724b45861bb6dfcc1a5d7f Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sat, 27 Mar 2021 11:38:18 +0100
Subject: [PATCH 016/203] Ionization boundary condition fully tested.
 Documentation updated properly.

3D Cartesian geometry also tested.
Documentation updated properly.

Added weighting probability in the injection of particles.
---
 doc/user-manual/fpakc_UserManual.pdf       | Bin 156928 -> 163741 bytes
 doc/user-manual/fpakc_UserManual.tex       |  83 ++++++++++++++++++---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 |  17 ++++-
 src/modules/mesh/moduleMesh.f90            |   2 +
 src/modules/mesh/moduleMeshBoundary.f90    |   7 +-
 src/modules/moduleInject.f90               |  15 +++-
 src/modules/moduleInput.f90                |  14 +++-
 src/modules/moduleRandom.f90               |  14 ++++
 8 files changed, 128 insertions(+), 24 deletions(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index fa6ad943db06007dd7b11f36e644f646c2c8c3e7..c419e5e9dee9e59f289ad5900d3f113b0b592f47 100644
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index efb090e..c01f56e 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -122,7 +122,11 @@
       Particles are pushed in the selected domain.
       Velocity and position are updated according to the old particle values and the external forces.
       All the push routines for the different geometries can be found in \lstinline|moduleSolver|.
-    
+      
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+      \subsection{3D Cartesian pusher}
+        Moving particles in a simple 3D Cartesian space.
+        
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
       \subsection{2D Cylindrical}
         When a 2D cylindrical geometry is used ($z$, $r$), a Boris solver\cite{boris1970relativistic} is used to move particles accounting for the effect of the symmetry axis.
@@ -151,7 +155,7 @@
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Variable Weighting Scheme\label{sec:weightingScheme}}
-      One of the issues in particle simulations, specially for axisymmetrical cases, is that due to the disparate volume of cells, specially close to the axis, the statistics in some cells is usually poor.
+      One of the issues in particle simulations, specially for axial-symmetrical cases, is that due to the disparate volume of cells, specially close to the axis, the statistics in some cells is usually poor.
       To try to fix that, the possibility to include a Variable Weighting Scheme in the simulations is available in \Gls{fpakc}.
       This schemes detect when a particle change cells and modify its weight accordingly.
       To avoid particles having a larger weight than the rest, particle can be split in multiple particles if weight become too large.
@@ -341,6 +345,8 @@ make
                                Type of geometry.
                                Current accepted vaules are
                                \begin{itemize}
+                                 \item \textbf{3DCart}: Three-dimensional grid ($x \hyphen y \hyphen z$) in Cartesian coordinates..
+                                                        For \Gls{gmsh} mesh format, the coordinates $x$, $y$ and $z$ correspond to $x$, $y$ and $z$ respectively.
                                  \item \textbf{2DCyl}: Two-dimensional grid ($z \hyphen r$) with symmetry axis at $r = 0$.
                                                        For \Gls{gmsh} mesh format, the coordinates $x$ and $y$ correspond to  $z$ and $r$ respectively.
                                  \item \textbf{2DCart}: Two-dimensional grid ($x \hyphen y$) in Cartesian coordinates..
@@ -401,8 +407,61 @@ make
                                  \item \textbf{absorption}: Particle is eliminated from the domain.
                                                             The particle is first moved into the edge and its properties are scattered among the edge nodes.
                                  \item \textbf{transparent}: Particle abandon the numerical domain.
+                                 \item \textbf{wallTemperature}: Reflective wall with cosntant temperature that exchange heat with particles.
+                                                                 Required parameters are:
+                                                                 \begin{itemize}
+                                                                   \item \textbf{temperature}: Real.
+                                                                                               Units of $\unit{K}$.
+                                                                                               Temperature wall.
+                                                                   \item \textbf{specificHeat}: Real.
+                                                                                                Units of $\unit{J kg^{-1} K^{-1}}$.
+                                                                                                Specific heat capacity of the material.
+                                                                 \end{itemize}
+                                 \item \textbf{ionization}: Per each particle crossing the surface with this type of boundary, a number of ionization events are calculated.
+                                                            A pair of ion-electron is generated for each ionization event taking as a reference a neutral background.
+                                                            Secondary electron is taken as same type as incident particle.
+                                                            The available input is:
+                                                            \begin{itemize}
+                                                              \item \textbf{neutral}: Object.
+                                                                                      Information about the neutral background.
+                                                                                      Required parameters are:
+                                                                                      \begin{itemize}
+                                                                                        \item \textbf{ion}: Character.
+                                                                                                            Species name of the ion generated as defined in object \textbf{species}.
+                                                                                                            Required parameter.
+                                                                                        \item \textbf{mass}: Real.
+                                                                                                             Units in $\unit{kg}$.
+                                                                                                             Mass of neutral species.
+                                                                                                             If missing, the mass of the ion is ussed
+                                                                                        \item \textbf{density}: Real.
+                                                                                                                Units in $\unit{m^{-3}}$.
+                                                                                                                Density of neutral background.
+                                                                                                                Required parameter.
+                                                                                        \item \textbf{velocity}: Real.
+                                                                                                                 Units in $\unit{m^{-3}}$.
+                                                                                                                 Array of dimension $3$.
+                                                                                                                 Mean velocity of neutral background.
+                                                                                                                 Required parameter.
+                                                                                        \item \textbf{temperature}: Real.
+                                                                                                                    Units in $\unit{K}$.
+                                                                                                                    Temperature of neutral background.
+                                                                                                                    Required parameter.
+                                                                                                             
+                                                                                      \end{itemize}
+                                                              \item \textbf{effectiveTime}: Real.
+                                                                                            Units in $\unit{s}$.
+                                                                                            As the particle is no longer simulated once it crossed the boundary, this time represent the effective time in which the particle produces ionization processes in the neutral background.
+                                                                                            Required parameter.
+                                                              \item \textbf{energyThreashold}: Real.
+                                                                                               Units in $\unit{eV}$.
+                                                                                               Ionization energy threshold for the simulated process.
+                                                                                               Required parameter.
+                                                              \item \textbf{crossSection}: Character.
+                                                                                           Complete path to the cross section data for the ionization process.
+                                                                                            
+                                                            \end{itemize}
                                  \item \textbf{axis}: Identifies the symmetry axis for 2D cylindrical simulations.
-                                                      It has no actual function.
+                                                      If for some reason a particle interact with this axis, it is reflected.
                                \end{itemize}
           \item \textbf{physicalSurface}: Integer.
                                           Identification of the edge in the mesh file.
@@ -499,14 +558,16 @@ make
                                  Array dimension 'number of species'.
                                  Indicates the type of pusher used for each species:
                                  \begin{itemize}
-                                    \item \textbf{2DCylNeutral}: Pushes particles in a 2D cylindrical space ($z \hyphen r$) without any external force.
-                                    \item \textbf{2DCylCharged}: Pushes particles in a 2D cylindrical space ($z \hyphen r$) including the effect of the electrostatic field.
-                                    \item \textbf{2DCartNeutral}: Pushes particles in a 2D Cartesian space ($x \hyphen y$) without any external force.
-                                    \item \textbf{2DCartCharged}: Pushes particles in a 2D Cartesian space ($x \hyphen y$) including the effect of the electrostatic field.
-                                    \item \textbf{1DRadNeutral}: Pushes particles in a 1D cylindrical space ($r$) without any external force.
-                                    \item \textbf{1DRadCharged}: Pushes particles in a 1D cylindrical space ($r$) accounting the the electrostatic field.
-                                    \item \textbf{1DCartNeutral}: Pushes particles in a 1D Cartesian space ($x$) without any external force.
-                                    \item \textbf{1DCartCharged}: Pushes particles in a 1D Cartesian space ($x$) accounting the the electrostatic field.
+                                   \item \textbf{3DCartNeutral}: Pushes particles in a 3D Cartesian space ($x \hyphen y \hyphen z$) without any external force.
+                                   \item \textbf{3DCartCharged}: Pushes particles in a 3D Cartesian space ($x \hyphen y \hyphen z$) including the effect of the electrostatic field.
+                                   \item \textbf{2DCylNeutral}: Pushes particles in a 2D cylindrical space ($z \hyphen r$) without any external force.
+                                   \item \textbf{2DCylCharged}: Pushes particles in a 2D cylindrical space ($z \hyphen r$) including the effect of the electrostatic field.
+                                   \item \textbf{2DCartNeutral}: Pushes particles in a 2D Cartesian space ($x \hyphen y$) without any external force.
+                                   \item \textbf{2DCartCharged}: Pushes particles in a 2D Cartesian space ($x \hyphen y$) including the effect of the electrostatic field.
+                                   \item \textbf{1DRadNeutral}: Pushes particles in a 1D cylindrical space ($r$) without any external force.
+                                   \item \textbf{1DRadCharged}: Pushes particles in a 1D cylindrical space ($r$) accounting the the electrostatic field.
+                                   \item \textbf{1DCartNeutral}: Pushes particles in a 1D Cartesian space ($x$) without any external force.
+                                   \item \textbf{1DCartCharged}: Pushes particles in a 1D Cartesian space ($x$) accounting the the electrostatic field.
                                  \end{itemize}
           \item \textbf{WeightingScheme}: Character.
                                           Indicates the variable weighting scheme to be used in the simulation.
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index d48af83..888fce8 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -190,6 +190,7 @@ MODULE moduleMesh2DCyl
       r2 = self%n2%getCoordinates()
       self%z  = (/r1(1), r2(1)/)
       self%r  = (/r1(2), r2(2)/)
+      self%weight = SUM(self%r)*5.D-1
       !Normal vector
       self%normal = (/ -(self%r(2)-self%r(1)), &
                          self%z(2)-self%z(1) , &
@@ -247,14 +248,22 @@ MODULE moduleMesh2DCyl
 
       CLASS(meshEdge2DCyl), INTENT(in):: self
       REAL(8):: rnd
+      REAL(8):: dr, dz
       REAL(8):: r(1:3)
-      REAL(8):: p1(1:2), p2(1:2)
 
       rnd = random()
+      dr  = self%r(2) - self%r(1)
+      dz  = self%z(2) - self%z(1)
+      IF (dr /= 0.D0) THEN
+        r(2) = dr*DSQRT(rnd) + self%r(1)
+        r(1) = dz * (r(2) - self%r(1))/dr + self%z(1)
+
+      ELSE
+        r(2) = self%r(1)
+        r(1) = dz * rnd + self%z(1)
+
+      END IF
 
-      p1 = (/self%z(1), self%r(1) /)
-      p2 = (/self%z(2), self%r(2) /)
-      r(1:2) = (1.D0 - rnd)*p1 + rnd*p2
       r(3)   =  0.D0
 
     END FUNCTION randPosEdge
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 137b256..80b0e03 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -61,6 +61,8 @@ MODULE moduleMesh
     CLASS(meshVol), POINTER:: e1 => NULL(), e2 => NULL()
     !Normal vector
     REAL(8):: normal(1:3)
+    !Weight for random injection of particles
+    REAL(8):: weight = 1.D0
     !Pointer to boundary element
     TYPE(boundaryCont), POINTER:: boundary
     !Array of functions for boundary conditions
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 7553733..9a512b0 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -137,14 +137,15 @@ MODULE moduleMeshBoundary
 
           !Create the new pair of particles
           DO p = 1, ionizationPair
-            ALLOCATE(newElectron)
-            ALLOCATE(newIon)
-
             !Assign random velocity to the neutral
             v0(1) = bound%v0(1) + bound%vTh*randomMaxwellian()
             v0(2) = bound%v0(2) + bound%vTh*randomMaxwellian()
             v0(3) = bound%v0(3) + bound%vTh*randomMaxwellian()
 
+            !Allocates the new particles
+            ALLOCATE(newElectron)
+            ALLOCATE(newIon)
+
             newElectron%sp = part%sp
             newIon%sp      = bound%sp
 
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 9d50abc..9a2659e 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -54,6 +54,8 @@ MODULE moduleInject
     INTEGER:: sp !Species of injection
     INTEGER:: nEdges
     INTEGER, ALLOCATABLE:: edges(:) !Array with edges
+    REAL(8), ALLOCATABLE:: cumWeight(:) !Array of cummulative probability
+    REAL(8):: sumWeight
     TYPE(velDistCont):: v(1:3) !Velocity distribution function in each direction
     CONTAINS
       PROCEDURE, PASS:: init         => initInject
@@ -121,12 +123,21 @@ MODULE moduleInject
       DO e=1, mesh%numEdges
         IF (mesh%edges(e)%obj%physicalSurface == physicalSurface) THEN
           et = et + 1
-          self%edges(et)  = mesh%edges(e)%obj%n
+          self%edges(et) = mesh%edges(e)%obj%n
 
         END IF
 
       END DO
 
+      !Calculates cumulative probability
+      ALLOCATE(self%cumWeight(1:self%nEdges))
+      self%cumWeight(1) = mesh%edges(self%edges(et))%obj%weight
+      DO et = 2, self%nEdges
+        self%cumWeight(et) = mesh%edges(self%edges(et))%obj%weight + self%cumWeight(et-1)
+
+      END DO
+      self%sumWeight = self%cumWeight(self%nEdges)
+
       nPartInj = nPartInj + self%nParticles
 
     END SUBROUTINE initInject
@@ -229,7 +240,7 @@ MODULE moduleInject
 
       !$OMP DO
       DO n = nMin, nMax
-        randomX = random(1, self%nEdges)
+        randomX = randomWeighted(self%cumWeight, self%sumWeight)
 
         randomEdge => mesh%edges(self%edges(randomX))%obj
         !Random position in edge
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index b7d8bc4..db19423 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -636,21 +636,27 @@ MODULE moduleInput
             ALLOCATE(boundaryTransparent:: boundary(i)%bTypes(s)%obj)
 
           CASE('ionization')
-            CALL config%get(object // '.neutral.name', speciesName, found)
-            IF (.NOT. found) CALL criticalError("missing parameter 'name' for neutrals in ionization", 'readBoundary')
+            !Neutral parameters
+            CALL config%get(object // '.neutral.ion', speciesName, found)
+            IF (.NOT. found) CALL criticalError("missing parameter 'ion' for neutrals in ionization", 'readBoundary')
             speciesID = speciesName2Index(speciesName)
             CALL config%get(object // '.neutral.mass', m0, found)
-            IF (.NOT. found) CALL criticalError("missing parameter 'mass' for neutrals in ionization", 'readBoundary')
+            IF (.NOT. found) THEN
+              m0 = species(s)%obj%m*m_ref
+            END IF
             CALL config%get(object // '.neutral.density', n0, found)
             IF (.NOT. found) CALL criticalError("missing parameter 'density' for neutrals in ionization", 'readBoundary')
             CALL config%get(object // '.neutral.velocity', v0, found)
             IF (.NOT. found) CALL criticalError("missing parameter 'velocity' for neutrals in ionization", 'readBoundary')
             CALL config%get(object // '.neutral.temperature', T0, found)
             IF (.NOT. found) CALL criticalError("missing parameter 'temperature' for neutrals in ionization", 'readBoundary')
+
             CALL config%get(object // '.effectiveTime', effTime, found)
-            IF (.NOT. found) CALL criticalError("missing parameter 'effectiveTime' for neutrals in ionization", 'readBoundary')
+            IF (.NOT. found) CALL criticalError("missing parameter 'effectiveTime' for ionization", 'readBoundary')
+
             CALL config%get(object // '.energyThreshold', eThreshold, found)
             IF (.NOT. found) CALL criticalError("missing parameter 'eThreshold' in ionization", 'readBoundary')
+
             CALL config%get(object // '.crossSection', crossSection, found)
             IF (.NOT. found) CALL criticalError("missing parameter 'crossSection' for neutrals in ionization", 'readBoundary')
 
diff --git a/src/modules/moduleRandom.f90 b/src/modules/moduleRandom.f90
index ec5eddd..cd553a8 100644
--- a/src/modules/moduleRandom.f90
+++ b/src/modules/moduleRandom.f90
@@ -66,4 +66,18 @@ MODULE moduleRandom
 
     END FUNCTION randomMaxwellian
 
+    !Returns a random number weighted with the cumWeight array
+    FUNCTION randomWeighted(cumWeight, sumWeight) RESULT(rnd)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: cumWeight(1:)
+      REAL(8), INTENT(in):: sumWeight
+      REAL(8):: rnd0b
+      INTEGER:: rnd
+
+      rnd0b = random(0.D0, sumWeight)
+      rnd = MINLOC(DABS(rnd0b - cumWeight), 1)
+
+    END FUNCTION randomWeighted
+
 END MODULE moduleRandom

From 643112073428ebfbca7a1429b2e02602df014135 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sun, 28 Mar 2021 15:17:10 +0200
Subject: [PATCH 017/203] Small modifications to the 1D Cathode case.

---
 runs/1D_Cathode/Argon+_Background.dat   | 100 ++++++++++++------------
 runs/1D_Cathode/Electron_Background.dat | 100 ++++++++++++------------
 runs/1D_Cathode/inputCart.json          |  32 +++++---
 runs/1D_Cathode/inputRadEmission.json   |  12 +--
 runs/ALPHIE_Grid/inputDiffTau.json      |  76 ------------------
 runs/ALPHIE_Grid/inputSameTau.json      |  76 ------------------
 6 files changed, 127 insertions(+), 269 deletions(-)
 delete mode 100644 runs/ALPHIE_Grid/inputDiffTau.json
 delete mode 100644 runs/ALPHIE_Grid/inputSameTau.json

diff --git a/runs/1D_Cathode/Argon+_Background.dat b/runs/1D_Cathode/Argon+_Background.dat
index b09138f..b9128d9 100644
--- a/runs/1D_Cathode/Argon+_Background.dat
+++ b/runs/1D_Cathode/Argon+_Background.dat
@@ -1,51 +1,51 @@
 #Element  Density(m^-3)  Velocity  (m/2)  Temperature  (K)
-1  1683217500000000  -19386.6  0  0  500
-2  1577004000000000  -19130.6  0  0  500
-3  1483725500000000  -18673.4  0  0  500
-4  1495368000000000  -18223.2  0  0  500
-5  1601330000000000  -17804.8  0  0  500
-6  1630851500000000  -17360.2  0  0  500
-7  1569924000000000  -16986.4  0  0  500
-8  1555674000000000  -16567.4  0  0  500
-9  1501328000000000  -16181.2  0  0  500
-10  1472318000000000  -15785.9  0  0  500
-11  1458490000000000  -15374.6  0  0  500
-12  1457809500000000  -15012.6  0  0  500
-13  1474687000000000  -14477.2  0  0  500
-14  1473073500000000  -14242.7  0  0  500
-15  1511770500000000  -13848.8  0  0  500
-16  1564946500000000  -13502.7  0  0  500
-17  1533674000000000  -13157.7  0  0  500
-18  1473108000000000  -12764.5  0  0  500
-19  1496640000000000  -12488.3  0  0  500
-20  1514440500000000  -12036.1  0  0  500
-21  1494114500000000  -11665.3  0  0  500
-22  1493046500000000  -11348.2  0  0  500
-23  1500858500000000  -10977.3  0  0  500
-24  1494480500000000  -10624.9  0  0  500
-25  1542839500000000  -11111.7  0  0  500
-26  1596599500000000  -9940.4  0  0  500
-27  1650272000000000  -9566.4  0  0  500
-28  1690817500000000  -9223.5  0  0  500
-29  1724662000000000  -8917.5  0  0  500
-30  1777677500000000  -8544.2  0  0  500
-31  1809272500000000  -8129.9  0  0  500
-32  1814150000000000  -7827.7  0  0  500
-33  1838401500000000  -7458.4  0  0  500
-34  1977935000000000  -7113.4  0  0  500
-35  2093814500000000  -6707.0  0  0  500
-36  2107688500000000  -6373.7  0  0  500
-37  2244944000000000  -6024.8  0  0  500
-38  2390213000000000  -5625.1  0  0  500
-39  2484013500000000  -5223.9  0  0  500
-40  2600636000000000  -4862.8  0  0  500
-41  2751150500000000  -4640.7  0  0  500
-42  2972491500000000  -4116.6  0  0  500
-43  3282084500000000  -3661.9  0  0  500
-44  3682392500000000  -3241.6  0  0  500
-45  4103775500000000  -2772.5  0  0  500
-46  4913489500000000  -2383.0  0  0  500
-47  6405310500000000  -1911.6  0  0  500
-48  9003078999999999  -1483.9  0  0  500
-49  1.3388345E+016  -993.4  0  0  500
-50  2.266645E+016  -592.5  0  0  500
+1  1.8672E+15  -4.2433E+04  0.0000E+00  0.0000E+00  1.7536E+03
+2  1.7491E+15  -4.1621E+04  0.0000E+00  0.0000E+00  1.8298E+03
+3  1.7130E+15  -4.0665E+04  0.0000E+00  0.0000E+00  1.6838E+03
+4  1.7346E+15  -3.9729E+04  0.0000E+00  0.0000E+00  1.5787E+03
+5  1.7565E+15  -3.8817E+04  0.0000E+00  0.0000E+00  1.5641E+03
+6  1.7107E+15  -3.7924E+04  0.0000E+00  0.0000E+00  1.4574E+03
+7  1.6611E+15  -3.7036E+04  0.0000E+00  0.0000E+00  1.3561E+03
+8  1.6543E+15  -3.6166E+04  0.0000E+00  0.0000E+00  1.2648E+03
+9  1.6850E+15  -3.5302E+04  0.0000E+00  0.0000E+00  1.1812E+03
+10  1.7615E+15  -3.4449E+04  0.0000E+00  0.0000E+00  1.1669E+03
+11  1.7123E+15  -3.3627E+04  0.0000E+00  0.0000E+00  1.1458E+03
+12  1.6138E+15  -3.2791E+04  0.0000E+00  0.0000E+00  1.0411E+03
+13  1.6308E+15  -3.1965E+04  0.0000E+00  0.0000E+00  9.6919E+02
+14  1.6581E+15  -3.1161E+04  0.0000E+00  0.0000E+00  9.8432E+02
+15  1.6576E+15  -3.0359E+04  0.0000E+00  0.0000E+00  9.8741E+02
+16  1.6780E+15  -2.9560E+04  0.0000E+00  0.0000E+00  9.1285E+02
+17  1.6906E+15  -2.8768E+04  0.0000E+00  0.0000E+00  8.5525E+02
+18  1.6773E+15  -2.7987E+04  0.0000E+00  0.0000E+00  8.5787E+02
+19  1.6571E+15  -2.7208E+04  0.0000E+00  0.0000E+00  8.3556E+02
+20  1.6547E+15  -2.6431E+04  0.0000E+00  0.0000E+00  7.9246E+02
+21  1.6878E+15  -2.5659E+04  0.0000E+00  0.0000E+00  7.6169E+02
+22  1.7458E+15  -2.4887E+04  0.0000E+00  0.0000E+00  7.4698E+02
+23  1.7634E+15  -2.4124E+04  0.0000E+00  0.0000E+00  7.5560E+02
+24  1.8070E+15  -2.3350E+04  0.0000E+00  0.0000E+00  7.3385E+02
+25  1.8616E+15  -2.2579E+04  0.0000E+00  0.0000E+00  7.1475E+02
+26  1.8601E+15  -2.1822E+04  0.0000E+00  0.0000E+00  7.1208E+02
+27  1.8291E+15  -2.1053E+04  0.0000E+00  0.0000E+00  6.8693E+02
+28  1.8542E+15  -2.0280E+04  0.0000E+00  0.0000E+00  6.5924E+02
+29  1.9410E+15  -1.9518E+04  0.0000E+00  0.0000E+00  6.4794E+02
+30  1.9685E+15  -1.8749E+04  0.0000E+00  0.0000E+00  6.4988E+02
+31  2.0048E+15  -1.7973E+04  0.0000E+00  0.0000E+00  6.2752E+02
+32  2.1060E+15  -1.7194E+04  0.0000E+00  0.0000E+00  6.1567E+02
+33  2.1705E+15  -1.6418E+04  0.0000E+00  0.0000E+00  6.1351E+02
+34  2.1947E+15  -1.5629E+04  0.0000E+00  0.0000E+00  6.0244E+02
+35  2.2625E+15  -1.4824E+04  0.0000E+00  0.0000E+00  6.0286E+02
+36  2.4096E+15  -1.4023E+04  0.0000E+00  0.0000E+00  5.9199E+02
+37  2.5632E+15  -1.3209E+04  0.0000E+00  0.0000E+00  5.8388E+02
+38  2.6774E+15  -1.2384E+04  0.0000E+00  0.0000E+00  5.8875E+02
+39  2.8107E+15  -1.1544E+04  0.0000E+00  0.0000E+00  5.8973E+02
+40  2.9409E+15  -1.0692E+04  0.0000E+00  0.0000E+00  5.9631E+02
+41  3.1254E+15  -9.8219E+03  0.0000E+00  0.0000E+00  5.9943E+02
+42  3.4330E+15  -8.9344E+03  0.0000E+00  0.0000E+00  5.9491E+02
+43  3.7218E+15  -8.0260E+03  0.0000E+00  0.0000E+00  5.9949E+02
+44  4.0857E+15  -7.0817E+03  0.0000E+00  0.0000E+00  6.4591E+02
+45  4.5046E+15  -6.1015E+03  0.0000E+00  0.0000E+00  5.9669E+02
+46  5.4123E+15  -5.0997E+03  0.0000E+00  0.0000E+00  5.7835E+02
+47  6.7144E+15  -4.2183E+03  0.0000E+00  0.0000E+00  4.7454E+02
+48  9.1344E+15  -3.1141E+03  0.0000E+00  0.0000E+00  3.0000E+02
+49  1.4157E+16  -1.8530E+03  0.0000E+00  0.0000E+00  3.0000E+02
+50  2.3064E+16  -9.7547E+02  0.0000E+00  0.0000E+00  2.7186E+02
diff --git a/runs/1D_Cathode/Electron_Background.dat b/runs/1D_Cathode/Electron_Background.dat
index e03cc49..5243fab 100644
--- a/runs/1D_Cathode/Electron_Background.dat
+++ b/runs/1D_Cathode/Electron_Background.dat
@@ -1,51 +1,51 @@
 #Element  Density(m^-3)  Velocity  (m/2)  Temperature  (K)
-1  0  0  0  0  11604
-2  0  0  0  0  11604
-3  0  0  0  0  11604
-4  0  0  0  0  11604
-5  0  0  0  0  11604
-6  0  0  0  0  11604
-7  0  0  0  0  11604
-8  0  0  0  0  11604
-9  0  0  0  0  11604
-10  0  0  0  0  11604
-11  0  0  0  0  11604
-12  0  0  0  0  11604
-13  0  0  0  0  11604
-14  0  0  0  0  11604
-15  0  0  0  0  11604
-16  0  0  0  0  11604
-17  0  0  0  0  11604
-18  0  0  0  0  11604
-19  0  0  0  0  11604
-20  0  0  0  0  11604
-21  0  0  0  0  11604
-22  0  0  0  0  11604
-23  0  0  0  0  11604
-24  0  0  0  0  11604
-25  0  0  0  0  11604
-26  0  0  0  0  11604
-27  0  0  0  0  11604
-28  0  0  0  0  11604
-29  0  0  0  0  11604
-30  0  0  0  0  11604
-31  0  0  0  0  11604
-32  0  0  0  0  11604
-33  0  0  0  0  11604
-34  0  0  0  0  11604
-35  0  0  0  0  11604
-36  0  0  0  0  11604
-37  0  0  0  0  11604
-38  0  0  0  0  11604
-39  0  0  0  0  11604
-40  0  0  0  0  11604
-41  0  0  0  0  11604
-42  0  0  0  0  11604
-43  529256500000  32881.47  0  0  11604
-44  5035006500000  40868.50  0  0  11604
-45  37296800000000  5264.45  0  0  11604
-46  226267350000000  -12113.65  0  0  11604
-47  928316300000000  -15834.22  0  0  11604
-48  3119752000000000  -12139.49  0  0  11604
-49  7748062000000000  -8297.72  0  0  11604
-50  1.348286E+016  43.29  0  0  11604
+1  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+2  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+3  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+4  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+5  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+6  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+7  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+8  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+9  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+10  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+11  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+12  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+13  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+14  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+15  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+16  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+17  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+18  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+19  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+20  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+21  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+22  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+23  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+24  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+25  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+26  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+27  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+28  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+29  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+30  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+31  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+32  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+33  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+34  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+35  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+36  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+37  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+38  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+39  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+40  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+41  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+42  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+43  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+44  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
+45  7.5916E+12  1.8413E+05  0.0000E+00  0.0000E+00  5.7527E+03
+46  7.5916E+12  1.8413E+05  0.0000E+00  0.0000E+00  5.7527E+03
+47  4.0201E+14  -2.3775E+04  0.0000E+00  0.0000E+00  1.1359E+04
+48  4.0201E+14  -2.3775E+04  0.0000E+00  0.0000E+00  1.1359E+04
+49  6.9489E+15  -8.8002E+03  0.0000E+00  0.0000E+00  9.5125E+03
+50  6.9489E+15  -8.8002E+03  0.0000E+00  0.0000E+00  9.5125E+03
diff --git a/runs/1D_Cathode/inputCart.json b/runs/1D_Cathode/inputCart.json
index a3ad40f..2d1248e 100644
--- a/runs/1D_Cathode/inputCart.json
+++ b/runs/1D_Cathode/inputCart.json
@@ -6,12 +6,12 @@
     "cpuTime": false,
     "numColl": false,
     "EMField": true,
-	"folder": "Cartesian"
+	"folder": "Cartesian_Emision"
   },
   "reference": {
     "density": 1.0e16,
     "mass": 9.109e-31,
-    "temperature": 2500.0
+    "temperature": 11604.0
   },
   "geometry": {
     "type":     "1DCart",
@@ -19,33 +19,43 @@
       "meshFile": "mesh.msh"
   },
   "species": [
-    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e1}
+    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e1},
+    {"name": "Argon+",   "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e1}
   ],
   "boundary": [ 
     {"name": "Cathode",  "physicalSurface": 1, "bTypes": [
+                                                  {"type": "absorption"},
                                                   {"type": "absorption"}
                                                 ]},
     {"name": "Infinite", "physicalSurface": 2, "bTypes": [
+                                                  {"type": "transparent"},
                                                   {"type": "transparent"}
                                                 ]}
   ],
   "boundaryEM": [
-    {"name": "Cathode",  "type": "dirichlet", "potential":  -10.0, "physicalSurface": 1},
-    {"name": "Infinite", "type": "dirichlet", "potential":    0.0, "physicalSurface": 2}
+    {"name": "Cathode",  "type": "dirichlet", "potential": 0.0, "physicalSurface": 1}
   ],
   "inject": [
-    {"name": "Cathode Electron", "species": "Electron", "flow":  1.0e-3, "units": "A", "v": 27500.0, "T": [2500.0, 2500.0, 2500.0],
+    {"name": "Plasma Inf Ar+",   "species": "Argon+",   "flow":  1.00e-6, "units": "A", "v": 300.0,   "T": [  500.0,   500.0,   500.0],
+                                 "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [-1, 0, 0], "physicalSurface": 2},
+    {"name": "Plasma Inf e",     "species": "Electron", "flow":  2.64e-4, "units": "A", "v":   0.0,   "T": [11604.0, 11604.0, 11604.0],
+                                 "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [-1, 0, 0], "physicalSurface": 2},
+    {"name": "Plasma Cat e",     "species": "Electron", "flow":  2.64e-5, "units": "A", "v": 180000.0,   "T": [ 2300.0,  2300.0,  2300.0],
                                  "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [ 1, 0, 0], "physicalSurface": 1}
   ],
   "case": {
-    "tau":  [1.0e-11],
-    "time": 1.0e-7,
-    "pusher": ["1DCartCharged"],
-    "EMSolver": "Electrostatic"
+    "tau":  [1.0e-11, 1.0e-11],
+    "time": 4.0e-6,
+    "pusher": ["1DCartCharged", "1DCartCharged"],
+    "EMSolver": "Electrostatic",
+    "initial": [
+      {"speciesName": "Argon+",   "initialState": "Argon+_Background.dat"},
+      {"speciesName": "Electron", "initialState": "Electron_Background.dat"}
+    ]
   },
   "parallel": {
     "OpenMP":{
-      "nThreads": 1
+      "nThreads": 24
     }
   }
 }
diff --git a/runs/1D_Cathode/inputRadEmission.json b/runs/1D_Cathode/inputRadEmission.json
index ba3ce41..012f105 100644
--- a/runs/1D_Cathode/inputRadEmission.json
+++ b/runs/1D_Cathode/inputRadEmission.json
@@ -6,7 +6,7 @@
     "cpuTime": false,
     "numColl": false,
     "EMField": true,
-	"folder": "Radial_Emision"
+	"folder": "Radial_Emission"
   },
   "reference": {
     "density": 1.0e16,
@@ -33,19 +33,19 @@
                                                 ]}
   ],
   "boundaryEM": [
-    {"name": "Cathode",  "type": "dirichlet", "potential": 0.0, "physicalSurface": 1}
+    {"name": "Cathode",  "type": "dirichlet", "potential":  0.0, "physicalSurface": 1}
   ],
   "inject": [
-    {"name": "Plasma Inf Ar+",   "species": "Argon+",   "flow":  1.00e-6, "units": "A", "v": 300.0,   "T": [  500.0,   500.0,   500.0],
-                                 "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [-1, 0, 0], "physicalSurface": 2},
-    {"name": "Plasma Inf e",     "species": "Electron", "flow":  2.64e-4, "units": "A", "v":   0.0,   "T": [11604.0, 11604.0, 11604.0],
+    {"name": "Plasma Inf Ar+",   "species": "Argon+",   "flow":  1.00e-6, "units": "A", "v":  323.0,   "T": [  500.0,   500.0,   500.0],
+                                 "velDist": ["Delta", "Maxwellian", "Maxwellian"],          "n": [-1, 0, 0], "physicalSurface": 2},
+    {"name": "Plasma Inf e",     "species": "Electron", "flow":  2.64e-4, "units": "A", "v":    0.0,   "T": [11604.0, 11604.0, 11604.0],
                                  "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [-1, 0, 0], "physicalSurface": 2},
     {"name": "Plasma Cat e",     "species": "Electron", "flow":  2.64e-2, "units": "A", "v": 180000.0,   "T": [ 2300.0,  2300.0,  2300.0],
                                  "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [ 1, 0, 0], "physicalSurface": 1}
   ],
   "case": {
     "tau":  [1.0e-11, 1.0e-11],
-    "time": 4.0e-6,
+    "time": 3.0e-7,
     "pusher": ["1DRadCharged", "1DRadCharged"],
     "EMSolver": "Electrostatic",
     "initial": [
diff --git a/runs/ALPHIE_Grid/inputDiffTau.json b/runs/ALPHIE_Grid/inputDiffTau.json
deleted file mode 100644
index 18f1ebe..0000000
--- a/runs/ALPHIE_Grid/inputDiffTau.json
+++ /dev/null
@@ -1,76 +0,0 @@
-{
-  "output": {
-    "path": "./runs/ALPHIE_Grid/",
-    "triggerOutput": 500,
-    "cpuTime": true,
-    "numColl": false,
-    "EMField": true,
-	"folder": "Diff_tau"
-  },
-  "geometry": {
-    "type":     "2DCyl",
-    "meshType": "gmsh",
-    "meshFile": "mesh.msh"
-  },
-  "species": [
-    {"name": "Argon+",   "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e1},
-    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e2}
-  ],
-  "boundary": [ 
-    {"name": "Ionization Chanber", "physicalSurface": 1, "bTypes": [
-                                                           {"type": "transparent"},
-                                                           {"type": "transparent"}
-                                                          ]},
-    {"name": "Vacuum Chamber",     "physicalSurface": 2, "bTypes": [
-                                                           {"type": "transparent"},
-                                                           {"type": "transparent"}
-                                                          ]},
-    {"name": "Exterior",           "physicalSurface": 3, "bTypes": [
-                                                           {"type": "reflection"},
-                                                           {"type": "reflection"}
-                                                          ]},
-    {"name": "Grid Extraction",    "physicalSurface": 4, "bTypes": [
-                                                           {"type": "absorption"},
-                                                           {"type": "absorption"}
-                                                          ]},
-    {"name": "Grid Acceleration",  "physicalSurface": 5, "bTypes": [
-                                                           {"type": "absorption"},
-                                                           {"type": "absorption"}
-                                                          ]},
-    {"name": "Axis",               "physicalSurface": 6, "bTypes": [
-                                                           {"type": "axis"},
-                                                           {"type": "axis"}
-                                                          ]}
-  ],
-  "boundaryEM": [
-    {"name": "Extraction Grid",    "type": "dirichlet", "potential": -150.0, "physicalSurface": 4},
-    {"name": "Acceleration Grid",  "type": "dirichlet", "potential": -600.0, "physicalSurface": 5},
-    {"name": "Ionization Chamber", "type": "dirichlet", "potential":    0.0, "physicalSurface": 1}
-  ],
-  "inject": [
-    {"name": "Ionization Argon+",   "species": "Argon+",   "flow": 27.0e-6, "units": "A", "v":    322.0, "T": [ 500.0,  500.0,  500.0],
-                                    "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [ 1, 0, 0], "physicalSurface": 1},
-    {"name": "Ionization Electron", "species": "Electron", "flow": 27.0e-6, "units": "A", "v":  87000.0, "T": [ 500.0,  500.0,  500.0],
-                                    "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [ 1, 0, 0], "physicalSurface": 1},
-    {"name": "Cathode Electron",    "species": "Electron", "flow":  9.0e-5, "units": "A", "v":  87000.0, "T": [2500.0, 2500.0, 2500.0],
-                                    "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [-1, 0, 0], "physicalSurface": 2}
-  ],
-  "reference": {
-    "density": 1.0e16,
-    "mass": 9.109e-31,
-    "temperature": 2500.0,
-    "radius": 1.88e-10
-  },
-  "case": {
-    "tau":  [1.0e-9, 1.0e-11],
-    "time": 1.0e-6,
-    "pusher": ["2DCylCharged", "2DCylCharged"],
-    "WeightingScheme": "Volume",
-    "EMSolver": "Electrostatic"
-  },
-  "parallel": {
-    "OpenMP":{
-      "nThreads": 24
-    }
-  }
-}
diff --git a/runs/ALPHIE_Grid/inputSameTau.json b/runs/ALPHIE_Grid/inputSameTau.json
deleted file mode 100644
index 5c91d42..0000000
--- a/runs/ALPHIE_Grid/inputSameTau.json
+++ /dev/null
@@ -1,76 +0,0 @@
-{
-  "output": {
-    "path": "./runs/ALPHIE_Grid/",
-    "triggerOutput": 500,
-    "cpuTime": true,
-    "numColl": false,
-    "EMField": true,
-	"folder": "Same_tau"
-  },
-  "geometry": {
-    "type":     "2DCyl",
-    "meshType": "gmsh",
-    "meshFile": "mesh.msh"
-  },
-  "species": [
-    {"name": "Argon+",   "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e1},
-    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e2}
-  ],
-  "boundary": [ 
-    {"name": "Ionization Chanber", "physicalSurface": 1, "bTypes": [
-                                                           {"type": "transparent"},
-                                                           {"type": "transparent"}
-                                                          ]},
-    {"name": "Vacuum Chamber",     "physicalSurface": 2, "bTypes": [
-                                                           {"type": "transparent"},
-                                                           {"type": "transparent"}
-                                                          ]},
-    {"name": "Exterior",           "physicalSurface": 3, "bTypes": [
-                                                           {"type": "reflection"},
-                                                           {"type": "reflection"}
-                                                          ]},
-    {"name": "Grid Extraction",    "physicalSurface": 4, "bTypes": [
-                                                           {"type": "absorption"},
-                                                           {"type": "absorption"}
-                                                          ]},
-    {"name": "Grid Acceleration",  "physicalSurface": 5, "bTypes": [
-                                                           {"type": "absorption"},
-                                                           {"type": "absorption"}
-                                                          ]},
-    {"name": "Axis",               "physicalSurface": 6, "bTypes": [
-                                                           {"type": "axis"},
-                                                           {"type": "axis"}
-                                                          ]}
-  ],
-  "boundaryEM": [
-    {"name": "Extraction Grid",    "type": "dirichlet", "potential": -150.0, "physicalSurface": 4},
-    {"name": "Acceleration Grid",  "type": "dirichlet", "potential": -600.0, "physicalSurface": 5},
-    {"name": "Ionization Chamber", "type": "dirichlet", "potential":    0.0, "physicalSurface": 1}
-  ],
-  "inject": [
-    {"name": "Ionization Argon+",   "species": "Argon+",   "flow": 27.0e-6, "units": "A", "v":    322.0, "T": [ 500.0,  500.0,  500.0],
-                                    "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [ 1, 0, 0], "physicalSurface": 1},
-    {"name": "Ionization Electron", "species": "Electron", "flow": 27.0e-6, "units": "A", "v":  87000.0, "T": [ 500.0,  500.0,  500.0],
-                                    "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [ 1, 0, 0], "physicalSurface": 1},
-    {"name": "Cathode Electron",    "species": "Electron", "flow":  9.0e-5, "units": "A", "v":  87000.0, "T": [2500.0, 2500.0, 2500.0],
-                                    "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [-1, 0, 0], "physicalSurface": 2}
-  ],
-  "reference": {
-    "density": 1.0e16,
-    "mass": 9.109e-31,
-    "temperature": 2500.0,
-    "radius": 1.88e-10
-  },
-  "case": {
-    "tau":  [1.0e-11, 1.0e-11],
-    "time": 1.0e-6,
-    "pusher": ["2DCylCharged", "2DCylCharged"],
-    "WeightingScheme": "Volume",
-    "EMSolver": "Electrostatic"
-  },
-  "parallel": {
-    "OpenMP":{
-      "nThreads": 24
-    }
-  }
-}

From bf4b8b41d3fa11fb760f22849597f71d888e7e57 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sun, 28 Mar 2021 15:20:27 +0200
Subject: [PATCH 018/203] Fixed an issue in the compilation caused by not
 included the moduleRefCase when using m_ref in moduleInput.

---
 src/modules/moduleInput.f90 | 1 +
 1 file changed, 1 insertion(+)

diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index db19423..61c7117 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -591,6 +591,7 @@ MODULE moduleInput
       USE moduleBoundary
       USE moduleErrors
       USE moduleSpecies
+      USE moduleRefParam
       USE json_module
       IMPLICIT NONE
 

From ec128902ad44c1cf035446164a1634d461853318 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sun, 28 Mar 2021 15:55:26 +0200
Subject: [PATCH 019/203] The integer part%sp that referenced the species index
 has been substituted for a pointer to the species.

---
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 |  4 +--
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   |  4 +--
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 14 ++++----
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   | 14 ++++----
 src/modules/mesh/3DCart/moduleMesh3DCart.f90 |  8 ++---
 src/modules/mesh/moduleMesh.f90              |  4 +--
 src/modules/mesh/moduleMeshBoundary.f90      | 16 ++++-----
 src/modules/moduleBoundary.f90               |  5 +--
 src/modules/moduleCollisions.f90             | 36 ++++++++++----------
 src/modules/moduleInject.f90                 | 24 +++++++------
 src/modules/moduleInput.f90                  | 24 ++++++-------
 src/modules/moduleSolver.f90                 |  4 +--
 src/modules/moduleSpecies.f90                | 24 +++++++------
 13 files changed, 94 insertions(+), 87 deletions(-)

diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 020b971..46f5a00 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -395,12 +395,12 @@ MODULE moduleMesh1DCart
       w_p = self%weight(part%xi)
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%sp)
+      vertex => self%n1%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(1)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
 
-      vertex => self%n2%output(part%sp)
+      vertex => self%n2%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(2)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 08609cd..12020c8 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -406,12 +406,12 @@ MODULE moduleMesh1DRad
       w_p = self%weight(part%xi)
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%sp)
+      vertex => self%n1%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(1)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
 
-      vertex => self%n2%output(part%sp)
+      vertex => self%n2%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(2)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 10b12fe..be1f071 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -510,22 +510,22 @@ MODULE moduleMesh2DCart
       w_p = self%weight(part%xi)
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%sp)
+      vertex => self%n1%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(1)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
 
-      vertex => self%n2%output(part%sp)
+      vertex => self%n2%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(2)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
 
-      vertex => self%n3%output(part%sp)
+      vertex => self%n3%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(3)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(3)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(3)*tensorS
 
-      vertex => self%n4%output(part%sp)
+      vertex => self%n4%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(4)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(4)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(4)*tensorS
@@ -869,17 +869,17 @@ MODULE moduleMesh2DCart
       w_p = self%weight(part%xi)
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%sp)
+      vertex => self%n1%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(1)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
 
-      vertex => self%n2%output(part%sp)
+      vertex => self%n2%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(2)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
 
-      vertex => self%n3%output(part%sp)
+      vertex => self%n3%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(3)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(3)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(3)*tensorS
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 888fce8..4318dff 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -531,22 +531,22 @@ MODULE moduleMesh2DCyl
       w_p = self%weight(part%xi)
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%sp)
+      vertex => self%n1%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(1)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
 
-      vertex => self%n2%output(part%sp)
+      vertex => self%n2%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(2)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
 
-      vertex => self%n3%output(part%sp)
+      vertex => self%n3%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(3)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(3)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(3)*tensorS
 
-      vertex => self%n4%output(part%sp)
+      vertex => self%n4%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(4)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(4)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(4)*tensorS
@@ -898,17 +898,17 @@ MODULE moduleMesh2DCyl
       w_p = self%weight(part%xi)
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%sp)
+      vertex => self%n1%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(1)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
 
-      vertex => self%n2%output(part%sp)
+      vertex => self%n2%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(2)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
 
-      vertex => self%n3%output(part%sp)
+      vertex => self%n3%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(3)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(3)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(3)*tensorS
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index ec7f2b1..ce7f235 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -496,22 +496,22 @@ MODULE moduleMesh3DCart
       w_p = self%weight(part%xi)
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%sp)
+      vertex => self%n1%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(1)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
 
-      vertex => self%n2%output(part%sp)
+      vertex => self%n2%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(2)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
 
-      vertex => self%n3%output(part%sp)
+      vertex => self%n3%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(3)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(3)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(3)*tensorS
 
-      vertex => self%n4%output(part%sp)
+      vertex => self%n4%output(part%species%n)
       vertex%den          = vertex%den          + part%weight*w_p(4)
       vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(4)*part%v(:)
       vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(4)*tensorS
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 80b0e03..9aff9e5 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -375,7 +375,7 @@ MODULE moduleMesh
 
         CLASS IS (meshEdge)
           !Particle encountered a surface, apply boundary
-          CALL nextElement%fBoundary(part%sp)%apply(nextElement,part)
+          CALL nextElement%fBoundary(part%species%n)%apply(nextElement,part)
 
           !If particle is still inside the domain, call findCell
           IF (part%n_in) THEN 
@@ -439,7 +439,7 @@ MODULE moduleMesh
           part_i => partTemp(rnd)%part
           rnd = random(1, nPart)
           part_j => partTemp(rnd)%part
-          ij = interactionIndex(part_i%sp, part_j%sp)
+          ij = interactionIndex(part_i%species%n, part_j%species%n)
           sigmaVrelMaxNew = 0.D0
           DO k = 1, interactionMatrix(ij)%amount
             CALL interactionMatrix(ij)%collisions(k)%obj%collide(self%sigmaVrelMax, sigmaVrelMaxNew, part_i, part_j)
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 9a512b0..e89b8f3 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -91,7 +91,7 @@ MODULE moduleMeshBoundary
       INTEGER:: i
 
       !Modifies particle velocity according to wall temperature
-      SELECT TYPE(bound => edge%boundary%bTypes(part%sp)%obj)
+      SELECT TYPE(bound => edge%boundary%bTypes(part%species%n)%obj)
       TYPE IS(boundaryWallTemperature)
         DO i = 1, 3
           part%v(i) = part%v(i) + bound%vTh*randomMaxwellian()
@@ -123,9 +123,9 @@ MODULE moduleMeshBoundary
       TYPE(particle), POINTER:: newElectron
       TYPE(particle), POINTER:: newIon
 
-      SELECT TYPE(bound => edge%boundary%bTypes(part%sp)%obj)
+      SELECT TYPE(bound => edge%boundary%bTypes(part%species%n)%obj)
       TYPE IS(boundaryIonization)
-        mRel = (bound%m0*species(part%sp)%obj%m)*(bound%m0+species(part%sp)%obj%m)
+        mRel = (bound%m0*part%species%m)*(bound%m0+part%species%m)
         vRel = SUM(DABS(part%v-bound%v0))
         eRel = mRel*vRel**2*5.D-1
 
@@ -133,7 +133,7 @@ MODULE moduleMeshBoundary
           ionizationRate = part%weight*bound%n0*bound%crossSection%get(eRel)*vRel
 
           !Rounds the number of particles up
-          ionizationPair = NINT(ionizationRate*bound%effectiveTime/species(bound%sp)%obj%weight)
+          ionizationPair = NINT(ionizationRate*bound%effectiveTime/bound%species%weight)
 
           !Create the new pair of particles
           DO p = 1, ionizationPair
@@ -146,8 +146,8 @@ MODULE moduleMeshBoundary
             ALLOCATE(newElectron)
             ALLOCATE(newIon)
 
-            newElectron%sp = part%sp
-            newIon%sp      = bound%sp
+            newElectron%species => part%species
+            newIon%species      => bound%species
 
             newElectron%v = v0 + (1.D0 + bound%deltaV*v0/NORM2(v0))
             newIon%v      = v0
@@ -162,13 +162,13 @@ MODULE moduleMeshBoundary
             newIon%xi      = newElectron%xi
 
             newElectron%qm = part%qm
-            SELECT TYPE(spe => species(bound%sp)%obj)
+            SELECT TYPE(spe => bound%species)
             TYPE IS(speciesCharged)
               newIon%qm = spe%qm
 
             END SELECT
 
-            newElectron%weight = species(bound%sp)%obj%weight
+            newElectron%weight = bound%species%weight
             newIon%weight      = newElectron%weight
 
             newElectron%n_in = .TRUE.
diff --git a/src/modules/moduleBoundary.f90 b/src/modules/moduleBoundary.f90
index 320bdad..2b61c67 100644
--- a/src/modules/moduleBoundary.f90
+++ b/src/modules/moduleBoundary.f90
@@ -1,5 +1,6 @@
 MODULE moduleBoundary
   USE moduleTable
+  USE moduleSpecies
 
   !Generic type for boundaries
   TYPE, PUBLIC:: boundaryGeneric
@@ -36,7 +37,7 @@ MODULE moduleBoundary
   !Ionization boundary
   TYPE, PUBLIC, EXTENDS(boundaryGeneric):: boundaryIonization
     REAL(8):: m0, n0, v0(1:3), vTh !Properties of background neutrals.
-    INTEGER:: sp !Ion species
+    CLASS(speciesGeneric), POINTER:: species !Ion species
     TYPE(table1D):: crossSection
     REAL(8):: effectiveTime
     REAL(8):: eThreshold
@@ -123,7 +124,7 @@ MODULE moduleBoundary
         boundary%n0 = n0 * Vol_ref
         boundary%v0 = v0 / v_ref
         boundary%vTh = DSQRT(kb*T0/m0)/v_ref
-        boundary%sp = speciesID
+        boundary%species => species(speciesID)%obj
         boundary%effectiveTime = effTime / ti_ref
         CALL boundary%crossSection%init(crossSection)
         CALL boundary%crossSection%convert(eV2J/(m_ref*v_ref**2), 1.D0/L_ref**2)
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index a70bfb6..70bef90 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -199,8 +199,8 @@ MODULE moduleCollisions
       sigmaVrel = self%crossSec%get(eRel)*vRel
       sigmaVrelMaxNew = sigmaVrelMaxNew + sigmaVrel
       IF (sigmaVrelMaxNew/sigmaVrelMax > random()) THEN
-        m_i = species(part_i%sp)%obj%m
-        m_j = species(part_j%sp)%obj%m
+        m_i = part_i%species%m
+        m_j = part_j%species%m
         !Applies the collision
         vCM = velocityCM(m_i, part_i%v, m_j, part_j%v)
         vp  = vRel*randomDirectionVHS()
@@ -292,11 +292,11 @@ MODULE moduleCollisions
         sigmaVrelMaxNew = sigmaVrelMaxNew + sigmaVrel
         IF (sigmaVrelMaxNew/sigmaVrelMax > random()) THEN
           !Find which particle is the ionizing electron
-          IF    (part_i%sp == self%electron%sp) THEN
+          IF    (ASSOCIATED(part_i%species, self%electron)) THEN
             electron => part_i
             neutral  => part_j
 
-          ELSEIF(part_j%sp == self%electron%sp) THEN
+          ELSEIF(ASSOCIATED(part_j%species, self%electron)) THEN
             electron => part_j
             neutral  => part_i
 
@@ -314,17 +314,17 @@ MODULE moduleCollisions
 
           !Creates a new electron from ionization
           ALLOCATE(newElectron)
-          newElectron%sp = electron%sp
-          newElectron%v  = vp_n
-          newElectron%r  = neutral%r
-          newElectron%xi = neutral%xi
-          newElectron%n_in = .TRUE.
-          newElectron%vol = neutral%vol
-          newElectron%weight = neutral%weight
-          newElectron%qm = electron%qm
+          newElectron%species => electron%species
+          newElectron%v       =  vp_n
+          newElectron%r       =  neutral%r
+          newElectron%xi      = neutral%xi
+          newElectron%n_in    = .TRUE.
+          newElectron%vol     = neutral%vol
+          newElectron%weight  = neutral%weight
+          newElectron%qm      = electron%qm
 
           !Ionize neutral particle
-          SELECT TYPE(sp => species(neutral%sp)%obj)
+          SELECT TYPE(sp => neutral%species)
           TYPE IS(speciesNeutral)
             CALL sp%ionize(neutral)
 
@@ -421,11 +421,11 @@ MODULE moduleCollisions
       sigmaVrelMaxNew = sigmaVrelMaxNew + sigmaVrel
       IF (sigmaVrelMaxNew/sigmaVrelMax > random()) THEN
         !Find which particle is the ionizing electron
-        IF    (part_i%sp == self%electron%sp) THEN
+        IF    (ASSOCIATED(part_i%species, self%electron)) THEN
           electron => part_i
           ion      => part_j
 
-        ELSEIF(part_j%sp == self%electron%sp) THEN
+        ELSEIF(ASSOCIATED(part_j%species, self%electron)) THEN
           electron => part_j
           ion      => part_i
 
@@ -442,7 +442,7 @@ MODULE moduleCollisions
         electron%n_in = .FALSE.
 
         !Neutralize ion particle
-        SELECT TYPE(sp => species(ion%sp)%obj)
+        SELECT TYPE(sp => ion%species)
         TYPE IS(speciesCharged)
           CALL sp%neutralize(ion)
 
@@ -501,7 +501,7 @@ MODULE moduleCollisions
       sigmaVrel = self%crossSec%get(eRel)*vRel
       sigmaVrelMaxNew = sigmaVrelMaxNew + sigmaVrel
       IF (sigmaVrelMaxNew/sigmaVrelMax > random()) THEN
-        SELECT TYPE(sp => species(part_i%sp)%obj)
+        SELECT TYPE(sp => part_i%species)
         TYPE IS (speciesNeutral)
           !Species i is neutral, ionize particle i
           CALL sp%ionize(part_i)
@@ -512,7 +512,7 @@ MODULE moduleCollisions
 
         END SELECT
 
-        SELECT TYPE(sp => species(part_j%sp)%obj)
+        SELECT TYPE(sp => part_j%species)
         TYPE IS (speciesNeutral)
           !Species j is neutral, ionize particle j
           CALL sp%ionize(part_j)
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 9a2659e..9660aa7 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -1,5 +1,6 @@
 !injection of particles
 MODULE moduleInject
+  USE moduleSpecies
 
   !Generic type for velocity distribution function
   TYPE, ABSTRACT:: velDistGeneric
@@ -51,7 +52,7 @@ MODULE moduleInject
     REAL(8):: T(1:3) !Temperature
     REAL(8):: n(1:3) !Direction of injection
     INTEGER:: nParticles !Number of particles to introduce each time step
-    INTEGER:: sp !Species of injection
+    CLASS(speciesGeneric), POINTER:: species !Species of injection
     INTEGER:: nEdges
     INTEGER, ALLOCATABLE:: edges(:) !Array with edges
     REAL(8), ALLOCATABLE:: cumWeight(:) !Array of cummulative probability
@@ -86,11 +87,11 @@ MODULE moduleInject
       INTEGER:: e, et
       INTEGER:: phSurface(1:mesh%numEdges)
 
-      self%id         = i
-      self%vMod       = v/v_ref
-      self%n          = n
-      self%T          = T/T_ref
-      self%sp  = sp
+      self%id         =  i
+      self%vMod       =  v/v_ref
+      self%n          =  n
+      self%T          =  T/T_ref
+      self%species    => species(sp)%obj
       SELECT CASE(units)
       CASE ("sccm")
         !Standard cubic centimeter per minute
@@ -224,14 +225,12 @@ MODULE moduleInject
       !$OMP SINGLE
       nMin = SUM(inject(1:(self%id-1))%nParticles) + 1
       nMax = nMin + self%nParticles - 1
-      !Assign particle type
-      partInj(nMin:nMax)%sp = self%sp
       !Assign weight to particle.
-      partInj(nMin:nMax)%weight = species(self%sp)%obj%weight
+      partInj(nMin:nMax)%weight = self%species%weight
       !Particle is considered to be outside the domain
       partInj(nMin:nMax)%n_in = .FALSE.
       !Assign charge/mass to charged particle.
-      SELECT TYPE(sp => species(self%sp)%obj)
+      SELECT TYPE(sp => self%species)
       TYPE IS(speciesCharged)
         partInj(nMin:nMax)%qm = sp%qm
 
@@ -257,6 +256,9 @@ MODULE moduleInject
 
         END IF
 
+        !Assign particle type
+        partInj(n)%species => self%species
+
         partInj(n)%v = (/ self%v(1)%obj%randomVel(), &
                           self%v(2)%obj%randomVel(), &
                           self%v(3)%obj%randomVel() /)
@@ -264,7 +266,7 @@ MODULE moduleInject
         !Obtain natural coordinates of particle in cell
         partInj(n)%xi = mesh%vols(partInj(n)%vol)%obj%phy2log(partInj(n)%r)
         !Push new particle with the minimum time step
-        CALL solver%pusher(self%sp)%pushParticle(partInj(n), tauMin)
+        CALL solver%pusher(self%species%n)%pushParticle(partInj(n), tauMin)
         !Assign cell to new particle
         CALL solver%updateParticleCell(partInj(n))
 
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 61c7117..99d031e 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -283,15 +283,15 @@ MODULE moduleInput
             !Allocate new particles
             DO p = 1, nNewPart
               ALLOCATE(partNew)
-              partNew%sp     = sp
-              partNew%v(1)   = velocity(1) + vTh*randomMaxwellian()
-              partNew%v(2)   = velocity(2) + vTh*randomMaxwellian()
-              partNew%v(3)   = velocity(3) + vTh*randomMaxwellian()
-              partNew%vol    = e
-              partNew%r      = mesh%vols(e)%obj%randPos()
-              partNew%xi     = mesh%vols(e)%obj%phy2log(partNew%r)
-              partNew%n_in   = .TRUE.
-              partNew%weight = species(sp)%obj%weight
+              partNew%species => species(sp)%obj
+              partNew%v(1)    =  velocity(1) + vTh*randomMaxwellian()
+              partNew%v(2)    =  velocity(2) + vTh*randomMaxwellian()
+              partNew%v(3)    =  velocity(3) + vTh*randomMaxwellian()
+              partNew%vol     =  e
+              partNew%r       =  mesh%vols(e)%obj%randPos()
+              partNew%xi      =  mesh%vols(e)%obj%phy2log(partNew%r)
+              partNew%n_in    =  .TRUE.
+              partNew%weight  =  species(sp)%obj%weight
               !If charged species, add qm to particle
               SELECT TYPE(sp => species(sp)%obj)
               TYPE IS (speciesCharged)
@@ -442,8 +442,8 @@ MODULE moduleInput
         !Assign shared parameters for all species
         CALL config%get(object // '.name',   species(i)%obj%name,   found)
         CALL config%get(object // '.weight', species(i)%obj%weight, found)
-        species(i)%obj%sp = i
-        species(i)%obj%m  = mass
+        species(i)%obj%n = i
+        species(i)%obj%m = mass
 
       END DO
 
@@ -894,7 +894,7 @@ MODULE moduleInput
       REAL(8):: v, T, m
 
       !Reads species mass
-      m = species(inj%sp)%obj%m
+      m = inj%species%m
       !Reads distribution functions for velocity
       DO i = 1, 3
         WRITE(istring, '(i2)') i
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index 2927e21..b549104 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -154,7 +154,7 @@ MODULE moduleSolver
       !$OMP DO
       DO n=1, nPartOld
         !Select species type
-        sp = partOld(n)%sp
+        sp = partOld(n)%species%n
         !Checks if the species sp is update this iteration
         IF (solver%pusher(sp)%pushSpecies) THEN
           !Push particle
@@ -722,7 +722,7 @@ MODULE moduleSolver
 
         part%weight = part%weight * fractionVolume
 
-        fractionWeight = part%weight / species(part%sp)%obj%weight
+        fractionWeight = part%weight / part%species%weight
 
         IF (fractionWeight >= 2.D0) THEN
           nSplit = FLOOR(fractionWeight)
diff --git a/src/modules/moduleSpecies.f90 b/src/modules/moduleSpecies.f90
index f2904f9..7d89e3b 100644
--- a/src/modules/moduleSpecies.f90
+++ b/src/modules/moduleSpecies.f90
@@ -7,7 +7,7 @@ MODULE moduleSpecies
   TYPE, ABSTRACT:: speciesGeneric
     CHARACTER(:), ALLOCATABLE:: name
     REAL(8):: m=0.D0, weight=0.D0
-    INTEGER:: sp=0
+    INTEGER:: n=0
   END TYPE speciesGeneric
 
   TYPE, EXTENDS(speciesGeneric):: speciesNeutral
@@ -37,7 +37,7 @@ MODULE moduleSpecies
   TYPE particle
     REAL(8):: r(1:3) !Position
     REAL(8):: v(1:3) !Velocity
-    INTEGER:: sp !Particle species id
+    CLASS(speciesGeneric), POINTER:: species !Pointer to species associated with this particle
     INTEGER:: vol !Index of element in which the particle is located
     REAL(8):: xi(1:3) !Logical coordinates of particle in element e_p.
     LOGICAL:: n_in !Flag that indicates if a particle is in the domain
@@ -48,6 +48,7 @@ MODULE moduleSpecies
 
   !Number of old particles
   INTEGER:: nPartOld
+  !Number of injected particles
   INTEGER:: nPartInj
   !Arrays that contain the particles
   TYPE(particle), ALLOCATABLE, DIMENSION(:), TARGET:: partOld !array of particles from previous iteration
@@ -60,15 +61,18 @@ MODULE moduleSpecies
 
       CHARACTER(:), ALLOCATABLE:: speciesName
       INTEGER:: sp 
-      INTEGER:: n
+      INTEGER:: s
 
       sp = 0
-      DO n = 1, nSpecies
-        IF (speciesName == species(n)%obj%name) THEN
-          sp = species(n)%obj%sp
-          EXIT
+      DO s = 1, nSpecies
+        IF (speciesName == species(s)%obj%name) THEN
+          sp = species(s)%obj%n
+          EXIT !If a species is found, exit the loop
+
         END IF
+
       END DO
+
       !If no species is found, call a critical error
       IF (sp == 0) CALL criticalError('Species ' // speciesName // ' not found.', 'speciesName2Index')
 
@@ -83,7 +87,7 @@ MODULE moduleSpecies
       TYPE(particle), INTENT(inout):: part
 
       IF (ASSOCIATED(self%ion)) THEN
-        part%sp = self%ion%sp
+        part%species => self%ion
 
       ELSE
         CALL criticalError('No ion defined for species' // self%name, 'ionizeNeutral')
@@ -101,7 +105,7 @@ MODULE moduleSpecies
       TYPE(particle), INTENT(inout):: part
 
       IF (ASSOCIATED(self%ion)) THEN
-        part%sp = self%ion%sp
+        part%species => self%ion
 
       ELSE
         CALL criticalError('No ion defined for species' // self%name, 'ionizeCharged')
@@ -119,7 +123,7 @@ MODULE moduleSpecies
       TYPE(particle), INTENT(inout):: part
 
       IF (ASSOCIATED(self%neutral)) THEN
-        part%sp = self%neutral%sp
+        part%species => self%neutral
 
       ELSE
         CALL criticalError('No neutral defined for species' // self%name, 'neutralizeCharged')

From 46348c86ee9c7fb5550803444d9ed76186cc2196 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sun, 28 Mar 2021 16:52:01 +0200
Subject: [PATCH 020/203] Improved some general things using pointers.

---
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 |  4 +--
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   |  4 +--
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 |  9 +++--
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   |  8 ++---
 src/modules/mesh/3DCart/moduleMesh3DCart.f90 |  4 +--
 src/modules/mesh/moduleMesh.f90              | 36 ++++++++++++--------
 src/modules/mesh/moduleMeshBoundary.f90      |  2 --
 src/modules/moduleBoundary.f90               | 16 +++++----
 src/modules/moduleInput.f90                  |  2 +-
 9 files changed, 45 insertions(+), 40 deletions(-)

diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 46f5a00..34209fa 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -71,7 +71,7 @@ MODULE moduleMesh1DCart
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL()
     !Connectivity to adjacent elements
-    CLASS(*), POINTER:: e1 => NULL(), e2 => NULL()
+    CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL()
     REAL(8):: arNodes(1:2)
     CONTAINS
       PROCEDURE, PASS::   init        => initVol1DCartSegm
@@ -459,7 +459,7 @@ MODULE moduleMesh1DCart
 
       CLASS(meshVol1DCartSegm), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      CLASS(*), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: nextElement
       
       NULLIFY(nextElement)
       IF     (xi(1) < -1.D0) THEN
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 12020c8..9678dff 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -72,7 +72,7 @@ MODULE moduleMesh1DRad
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL()
     !Connectivity to adjacent elements
-    CLASS(*), POINTER:: e1 => NULL(), e2 => NULL()
+    CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL()
     REAL(8):: arNodes(1:2)
     CONTAINS
       PROCEDURE, PASS::   init        => initVol1DRadSegm
@@ -470,7 +470,7 @@ MODULE moduleMesh1DRad
 
       CLASS(meshVol1DRadSegm), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      CLASS(*), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: nextElement
       
       NULLIFY(nextElement)
       IF     (xi(1) < -1.D0) THEN
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index be1f071..d78c663 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -77,7 +77,7 @@ MODULE moduleMesh2DCart
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL(), n4 => NULL()
     !Connectivity to adjacent elements
-    CLASS(*), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
+    CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
     REAL(8):: arNodes(1:4) = 0.D0
     CONTAINS
       PROCEDURE, PASS::   init        => initVolQuad2DCart
@@ -107,7 +107,7 @@ MODULE moduleMesh2DCart
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL()
     !Connectivity to adjacent elements
-    CLASS(*), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL()
+    CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL()
     REAL(8):: arNodes(1:3) = 0.D0
 
     CONTAINS
@@ -607,7 +607,7 @@ MODULE moduleMesh2DCart
 
       CLASS(meshVol2DCartQuad), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      CLASS(*), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: nextElement
       REAL(8):: xiArray(1:4)
       INTEGER:: nextInt
 
@@ -638,7 +638,6 @@ MODULE moduleMesh2DCart
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3
-      REAL(8):: A
 
       !Assign node index
       self%n = n
@@ -950,7 +949,7 @@ MODULE moduleMesh2DCart
 
       CLASS(meshVol2DCartTria), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      CLASS(*), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: nextElement
       REAL(8):: xiArray(1:3)
       INTEGER:: nextInt
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 4318dff..d5a1432 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -77,7 +77,7 @@ MODULE moduleMesh2DCyl
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL(), n4 => NULL()
     !Connectivity to adjacent elements
-    CLASS(*), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
+    CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
     REAL(8):: arNodes(1:4) = 0.D0
 
     CONTAINS
@@ -108,7 +108,7 @@ MODULE moduleMesh2DCyl
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL()
     !Connectivity to adjacent elements
-    CLASS(*), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL()
+    CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL()
     REAL(8):: arNodes(1:3) = 0.D0
 
     CONTAINS
@@ -628,7 +628,7 @@ MODULE moduleMesh2DCyl
 
       CLASS(meshVol2DCylQuad), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      CLASS(*), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: nextElement
       REAL(8):: xiArray(1:4)
       INTEGER:: nextInt
 
@@ -979,7 +979,7 @@ MODULE moduleMesh2DCyl
 
       CLASS(meshVol2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      CLASS(*), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: nextElement
       REAL(8):: xiArray(1:3)
       INTEGER:: nextInt
 
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index ce7f235..494459a 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -71,7 +71,7 @@ MODULE moduleMesh3DCart
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL(), n4 => NULL()
     !Connectivity to adjacent elements
-    CLASS(*), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
+    CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
     CONTAINS
       PROCEDURE, PASS::   init        => initVolTetra3DCart
       PROCEDURE, PASS::   randPos     => randPosVolTetra
@@ -579,7 +579,7 @@ MODULE moduleMesh3DCart
 
       CLASS(meshVol3DCartTetra), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      CLASS(*), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: nextElement
       REAL(8):: xiArray(1:4)
       INTEGER:: nextInt
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 9aff9e5..54ff883 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -5,10 +5,16 @@ MODULE moduleMesh
   USE moduleBoundary
   IMPLICIT NONE
 
-  !Parent of Node element
-  TYPE, PUBLIC, ABSTRACT:: meshNode
-    !Node index
+  !Generic mesh element
+  TYPE, PUBLIC, ABSTRACT:: meshElement
+    !Index
     INTEGER:: n = 0
+    CONTAINS
+
+  END TYPE meshElement
+
+  !Parent of Node element
+  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshElement):: meshNode
     !Node volume
     REAL(8):: v = 0.D0
     !Output values
@@ -44,26 +50,26 @@ MODULE moduleMesh
   !Containers for nodes in the mesh
   TYPE:: meshNodeCont
     CLASS(meshNode), ALLOCATABLE:: obj
+    CONTAINS
 
   END TYPE meshNodeCont
 
   !Type for array of boundary functions (one per species)
   TYPE, PUBLIC:: fBoundaryGeneric
     PROCEDURE(boundary_interface), POINTER, NOPASS:: apply => NULL()
+    CONTAINS
 
   END TYPE
 
   !Parent of Edge element
-  TYPE, PUBLIC, ABSTRACT:: meshEdge
-    !Element index
-    INTEGER:: n = 0
+  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshElement):: meshEdge
     !Connectivity to vols
     CLASS(meshVol), POINTER:: e1 => NULL(), e2 => NULL()
     !Normal vector
     REAL(8):: normal(1:3)
     !Weight for random injection of particles
     REAL(8):: weight = 1.D0
-    !Pointer to boundary element
+    !Pointer to boundary type
     TYPE(boundaryCont), POINTER:: boundary
     !Array of functions for boundary conditions
     TYPE(fBoundaryGeneric), ALLOCATABLE:: fBoundary(:)
@@ -98,7 +104,7 @@ MODULE moduleMesh
 
     END FUNCTION getNodesEdge_interface
 
-    !Returns the intersecction between an edge and a line defined by point r0 and vector v0
+    !Returns the intersecction between an edge and a line defined by point r0
     PURE FUNCTION intersectionEdge_interface(self, r0) RESULT(r)
       IMPORT:: meshEdge
       CLASS(meshEdge), INTENT(in):: self
@@ -136,9 +142,7 @@ MODULE moduleMesh
   END TYPE meshEdgeCont
 
   !Parent of Volume element
-  TYPE, PUBLIC, ABSTRACT:: meshVol
-    !Volume index
-    INTEGER:: n = 0
+  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshElement):: meshVol
     !Maximum collision rate
     REAL(8):: sigmaVrelMax = 0.D0
     !Volume
@@ -211,10 +215,10 @@ MODULE moduleMesh
     END FUNCTION elemF_interface
 
     SUBROUTINE nextElement_interface(self, xi, nextElement)
-      IMPORT:: meshVol
+      IMPORT:: meshVol, meshElement
       CLASS(meshVol), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      CLASS(*), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: nextElement
 
     END SUBROUTINE nextElement_interface
 
@@ -343,6 +347,7 @@ MODULE moduleMesh
     !Find next cell for particle
     RECURSIVE SUBROUTINE findCell(self, part, oldCell)
       USE moduleSpecies
+      USE moduleErrors
       USE OMP_LIB
       IMPLICIT NONE
 
@@ -350,7 +355,7 @@ MODULE moduleMesh
       CLASS(meshVol), OPTIONAL, INTENT(in):: oldCell
       CLASS(particle), INTENT(inout), TARGET:: part
       REAL(8):: xi(1:3)
-      CLASS(*), POINTER:: nextElement
+      CLASS(meshElement), POINTER:: nextElement
 
       xi = self%phy2log(part%r)
       !Checks if particle is inside 'self' cell
@@ -389,7 +394,8 @@ MODULE moduleMesh
           END IF
 
         CLASS DEFAULT
-          WRITE(*,*) "ERROR, CHECK findCell"
+          WRITE (*, "(A, I6)") "Element = ", self%n
+          CALL criticalError("No connectivity found for element", "findCell")
 
         END SELECT
       END IF
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index e89b8f3..4f54e92 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -14,8 +14,6 @@ MODULE moduleMeshBoundary
       !rpp = final position of particle
       !vpp = final velocity of particle
       REAL(8), DIMENSION(1:3):: rp, vpp
-      REAL(8):: tI
-      REAL(8):: taup !time step for reflecting process
 
       !Reflect particle velocity
       vpp = part%v - 2.D0*DOT_PRODUCT(part%v, edge%normal)*edge%normal
diff --git a/src/modules/moduleBoundary.f90 b/src/modules/moduleBoundary.f90
index 2b61c67..83c815c 100644
--- a/src/modules/moduleBoundary.f90
+++ b/src/modules/moduleBoundary.f90
@@ -42,7 +42,6 @@ MODULE moduleBoundary
     REAL(8):: effectiveTime
     REAL(8):: eThreshold
     REAL(8):: deltaV
-
     CONTAINS
 
   END TYPE boundaryIonization
@@ -53,23 +52,26 @@ MODULE moduleBoundary
 
   END TYPE boundaryAxis
 
+  !Wrapper for boundary types (one per species)
   TYPE:: bTypesCont
     CLASS(boundaryGeneric), ALLOCATABLE:: obj
+    CONTAINS
 
   END TYPE bTypesCont
 
+  !Wrapper for boundary conditions
   TYPE:: boundaryCont
-    INTEGER:: id = 0
-    CHARACTER(:), ALLOCATABLE:: name
-    INTEGER:: physicalSurface = 0
-    CLASS(bTypesCont), ALLOCATABLE:: bTypes(:)
+    INTEGER:: n = 0
+    CHARACTER(:), ALLOCATABLE:: name 
+    INTEGER:: physicalSurface = 0 !Physical surface as defined in the mesh file
+    CLASS(bTypesCont), ALLOCATABLE:: bTypes(:) !Array for boundary per species
     CONTAINS
 
   END TYPE boundaryCont
 
   !Number of boundaries
   INTEGER:: nBoundary = 0
-  !Array for boundary information
+  !Array for boundaries
   TYPE(boundaryCont), ALLOCATABLE, TARGET:: boundary(:)
 
   CONTAINS
@@ -82,7 +84,7 @@ MODULE moduleBoundary
 
       id = 0
       DO i = 1, nBoundary
-        IF (physicalSurface == boundary(i)%physicalSurface) id = boundary(i)%id
+        IF (physicalSurface == boundary(i)%physicalSurface) id = boundary(i)%n
 
       END DO
 
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 99d031e..98933de 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -616,7 +616,7 @@ MODULE moduleInput
         WRITE(istring, '(i2)') i
         object = 'boundary(' // TRIM(istring) // ')'
 
-        boundary(i)%id = i
+        boundary(i)%n = i
         CALL config%get(object // '.name',            boundary(i)%name,            found)
         CALL config%get(object // '.physicalSurface', boundary(i)%physicalSurface, found)
         CALL config%info(object // '.bTypes', found, n_children = nTypes)

From 3f91d9e1ede836597525efd36d334655239aaa3c Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 29 Mar 2021 09:45:51 +0200
Subject: [PATCH 021/203] Reading of mesh files has been made independent from
 geometry and prepared to accept different formats.

---
 runs/1D_Cathode/inputCart.json                |   4 +-
 runs/1D_Cathode/inputRadEmission.json         |   4 +-
 runs/ALPHIE_Grid/inputBaseCase.json           |  76 +++
 runs/ALPHIE_Grid/inputIonization_0.10mA.json  |  73 ++
 runs/Argon_Expansion/CX_case.json             |   2 +-
 runs/Argon_Expansion/elastic_case.json        |   2 +-
 runs/Argon_Expansion/nocoll_case.json         |  55 ++
 runs/cylFlow/input.json                       |   2 +-
 src/makefile                                  |  13 +-
 src/modules/mesh/1DCart/makefile              |   5 +-
 src/modules/mesh/1DCart/moduleMesh1DCart.f90  | 125 +++-
 .../mesh/1DCart/moduleMesh1DCartRead.f90      | 264 -------
 src/modules/mesh/1DRad/makefile               |   5 +-
 src/modules/mesh/1DRad/moduleMesh1DRad.f90    | 127 +++-
 .../mesh/1DRad/moduleMesh1DRadRead.f90        | 264 -------
 src/modules/mesh/2DCart/makefile              |   5 +-
 src/modules/mesh/2DCart/moduleMesh2DCart.f90  | 475 ++++++++++++-
 .../mesh/2DCart/moduleMesh2DCartRead.f90      | 620 -----------------
 src/modules/mesh/2DCyl/makefile               |   5 +-
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    | 481 ++++++++++++-
 .../mesh/2DCyl/moduleMesh2DCylRead.f90        | 643 ------------------
 src/modules/mesh/3DCart/makefile              |   5 +-
 src/modules/mesh/3DCart/moduleMesh3DCart.f90  | 386 ++++++++++-
 .../mesh/3DCart/moduleMesh3DCartRead.f90      | 544 ---------------
 src/modules/mesh/inout/gmsh2/makefile         |   7 +
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 | 295 ++++++++
 .../inout/gmsh2/moduleMeshOutputGmsh2.f90     | 197 ++++++
 src/modules/mesh/inout/makefile               |   4 +
 src/modules/mesh/makefile                     |  15 +-
 src/modules/mesh/moduleMesh.f90               | 274 ++------
 src/modules/moduleInput.f90                   |  75 +-
 31 files changed, 2377 insertions(+), 2675 deletions(-)
 create mode 100644 runs/ALPHIE_Grid/inputBaseCase.json
 create mode 100644 runs/ALPHIE_Grid/inputIonization_0.10mA.json
 create mode 100644 runs/Argon_Expansion/nocoll_case.json
 delete mode 100644 src/modules/mesh/1DCart/moduleMesh1DCartRead.f90
 delete mode 100644 src/modules/mesh/1DRad/moduleMesh1DRadRead.f90
 delete mode 100644 src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
 delete mode 100644 src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90
 delete mode 100644 src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
 create mode 100644 src/modules/mesh/inout/gmsh2/makefile
 create mode 100644 src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
 create mode 100644 src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
 create mode 100644 src/modules/mesh/inout/makefile

diff --git a/runs/1D_Cathode/inputCart.json b/runs/1D_Cathode/inputCart.json
index 2d1248e..74eb5f7 100644
--- a/runs/1D_Cathode/inputCart.json
+++ b/runs/1D_Cathode/inputCart.json
@@ -15,8 +15,8 @@
   },
   "geometry": {
     "type":     "1DCart",
-    "meshType": "gmsh",
-      "meshFile": "mesh.msh"
+    "meshType": "gmsh2",
+    "meshFile": "mesh.msh"
   },
   "species": [
     {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e1},
diff --git a/runs/1D_Cathode/inputRadEmission.json b/runs/1D_Cathode/inputRadEmission.json
index 012f105..14fb767 100644
--- a/runs/1D_Cathode/inputRadEmission.json
+++ b/runs/1D_Cathode/inputRadEmission.json
@@ -15,8 +15,8 @@
   },
   "geometry": {
     "type":     "1DRad",
-    "meshType": "gmsh",
-      "meshFile": "mesh.msh"
+    "meshType": "gmsh2",
+    "meshFile": "mesh.msh"
   },
   "species": [
     {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e1},
diff --git a/runs/ALPHIE_Grid/inputBaseCase.json b/runs/ALPHIE_Grid/inputBaseCase.json
new file mode 100644
index 0000000..7cb1ba0
--- /dev/null
+++ b/runs/ALPHIE_Grid/inputBaseCase.json
@@ -0,0 +1,76 @@
+{
+  "output": {
+    "path": "./runs/ALPHIE_Grid/",
+    "triggerOutput": 500,
+    "cpuTime": false,
+    "numColl": false,
+    "EMField": true,
+	"folder": "base_case"
+  },
+  "geometry": {
+    "type":     "2DCyl",
+    "meshType": "gmsh2",
+    "meshFile": "mesh.msh"
+  },
+  "species": [
+    {"name": "Argon+",   "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e1},
+    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e2}
+  ],
+  "boundary": [ 
+    {"name": "Ionization Chanber", "physicalSurface": 1, "bTypes": [
+                                                           {"type": "transparent"},
+                                                           {"type": "transparent"}
+                                                          ]},
+    {"name": "Vacuum Chamber",     "physicalSurface": 2, "bTypes": [
+                                                           {"type": "transparent"},
+                                                           {"type": "transparent"}
+                                                          ]},
+    {"name": "Exterior",           "physicalSurface": 3, "bTypes": [
+                                                           {"type": "reflection"},
+                                                           {"type": "reflection"}
+                                                          ]},
+    {"name": "Grid Extraction",    "physicalSurface": 4, "bTypes": [
+                                                           {"type": "absorption"},
+                                                           {"type": "absorption"}
+                                                          ]},
+    {"name": "Grid Acceleration",  "physicalSurface": 5, "bTypes": [
+                                                           {"type": "absorption"},
+                                                           {"type": "absorption"}
+                                                          ]},
+    {"name": "Axis",               "physicalSurface": 6, "bTypes": [
+                                                           {"type": "axis"},
+                                                           {"type": "axis"}
+                                                          ]}
+  ],
+  "boundaryEM": [
+    {"name": "Extraction Grid",    "type": "dirichlet", "potential": -150.0, "physicalSurface": 4},
+    {"name": "Acceleration Grid",  "type": "dirichlet", "potential": -600.0, "physicalSurface": 5},
+    {"name": "Ionization Chamber", "type": "dirichlet", "potential":    0.0, "physicalSurface": 1}
+  ],
+  "inject": [
+    {"name": "Ionization Argon+",   "species": "Argon+",   "flow": 27.0e-6, "units": "A", "v":    322.0, "T": [ 500.0,  500.0,  500.0],
+                                    "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [ 1, 0, 0], "physicalSurface": 1},
+    {"name": "Ionization Electron", "species": "Electron", "flow": 27.0e-6, "units": "A", "v":  87000.0, "T": [ 500.0,  500.0,  500.0],
+                                    "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [ 1, 0, 0], "physicalSurface": 1},
+    {"name": "Cathode Electron",    "species": "Electron", "flow":  9.0e-5, "units": "A", "v":  87000.0, "T": [2500.0, 2500.0, 2500.0],
+                                    "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [-1, 0, 0], "physicalSurface": 2}
+  ],
+  "reference": {
+    "density": 1.0e16,
+    "mass": 9.109e-31,
+    "temperature": 2500.0,
+    "radius": 1.88e-10
+  },
+  "case": {
+    "tau":  [1.0e-9, 1.0e-11],
+    "time": 1.0e-6,
+    "pusher": ["2DCylCharged", "2DCylCharged"],
+    "WeightingScheme": "Volume",
+    "EMSolver": "Electrostatic"
+  },
+  "parallel": {
+    "OpenMP":{
+      "nThreads": 24
+    }
+  }
+}
diff --git a/runs/ALPHIE_Grid/inputIonization_0.10mA.json b/runs/ALPHIE_Grid/inputIonization_0.10mA.json
new file mode 100644
index 0000000..e7664bd
--- /dev/null
+++ b/runs/ALPHIE_Grid/inputIonization_0.10mA.json
@@ -0,0 +1,73 @@
+{
+  "output": {
+    "path": "./runs/ALPHIE_Grid/",
+    "triggerOutput": 500,
+    "cpuTime": false,
+    "numColl": false,
+    "EMField": true,
+	"folder": "ionization_0.10mA"
+  },
+  "geometry": {
+    "type":     "2DCyl",
+    "meshType": "gmsh2",
+    "meshFile": "mesh.msh"
+  },
+  "species": [
+    {"name": "Argon+",   "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e1},
+    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e2}
+  ],
+  "boundary": [ 
+    {"name": "Ionization Chanber", "physicalSurface": 1, "bTypes": [
+                                                           {"type": "transparent"},
+                                                           {"type": "ionization", "neutral": {"ion": "Argon+", "mass": 6.633e-26, "density": 1.0e17, "velocity": [323, 0, 0], "temperature": 300},
+                                                                                  "effectiveTime": 5.0e-6,"energyThreshold": 15.76, "crossSection": "./data/collisions/IO_e-Ar.dat"}
+                                                          ]},
+    {"name": "Vacuum Chamber",     "physicalSurface": 2, "bTypes": [
+                                                           {"type": "transparent"},
+                                                           {"type": "transparent"}
+                                                          ]},
+    {"name": "Exterior",           "physicalSurface": 3, "bTypes": [
+                                                           {"type": "reflection"},
+                                                           {"type": "reflection"}
+                                                          ]},
+    {"name": "Grid Extraction",    "physicalSurface": 4, "bTypes": [
+                                                           {"type": "absorption"},
+                                                           {"type": "absorption"}
+                                                          ]},
+    {"name": "Grid Acceleration",  "physicalSurface": 5, "bTypes": [
+                                                           {"type": "absorption"},
+                                                           {"type": "absorption"}
+                                                          ]},
+    {"name": "Axis",               "physicalSurface": 6, "bTypes": [
+                                                           {"type": "axis"},
+                                                           {"type": "axis"}
+                                                          ]}
+  ],
+  "boundaryEM": [
+    {"name": "Extraction Grid",    "type": "dirichlet", "potential": -150.0, "physicalSurface": 4},
+    {"name": "Acceleration Grid",  "type": "dirichlet", "potential": -600.0, "physicalSurface": 5},
+    {"name": "Ionization Chamber", "type": "dirichlet", "potential":    0.0, "physicalSurface": 1}
+  ],
+  "inject": [
+    {"name": "Cathode Electron",    "species": "Electron", "flow":  1.0e-4, "units": "A", "v":  87000.0, "T": [2500.0, 2500.0, 2500.0],
+                                    "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [-1, 0, 0], "physicalSurface": 2}
+  ],
+  "reference": {
+    "density": 1.0e16,
+    "mass": 9.109e-31,
+    "temperature": 2500.0,
+    "radius": 1.88e-10
+  },
+  "case": {
+    "tau":  [1.0e-9, 1.0e-11],
+    "time": 1.0e-6,
+    "pusher": ["2DCylCharged", "2DCylCharged"],
+    "WeightingScheme": "Volume",
+    "EMSolver": "Electrostatic"
+  },
+  "parallel": {
+    "OpenMP":{
+      "nThreads": 24
+    }
+  }
+}
diff --git a/runs/Argon_Expansion/CX_case.json b/runs/Argon_Expansion/CX_case.json
index 21adc6a..463c8af 100644
--- a/runs/Argon_Expansion/CX_case.json
+++ b/runs/Argon_Expansion/CX_case.json
@@ -8,7 +8,7 @@
   },
   "geometry": {
     "type":     "2DCyl",
-    "meshType": "gmsh",
+    "meshType": "gmsh2",
     "meshFile": "mesh.msh"
   },
   "species": [
diff --git a/runs/Argon_Expansion/elastic_case.json b/runs/Argon_Expansion/elastic_case.json
index 0a10d86..ac9fcc7 100644
--- a/runs/Argon_Expansion/elastic_case.json
+++ b/runs/Argon_Expansion/elastic_case.json
@@ -8,7 +8,7 @@
   },
   "geometry": {
     "type":     "2DCyl",
-    "meshType": "gmsh",
+    "meshType": "gmsh2",
     "meshFile": "mesh.msh"
   },
   "species": [
diff --git a/runs/Argon_Expansion/nocoll_case.json b/runs/Argon_Expansion/nocoll_case.json
new file mode 100644
index 0000000..55dceb5
--- /dev/null
+++ b/runs/Argon_Expansion/nocoll_case.json
@@ -0,0 +1,55 @@
+{
+  "output": {
+    "path": "./runs/Argon_Expansion/",
+	"triggerOutput": 10,
+	"cpuTime": false,
+	"numColl": false,
+	"folder": "Nocoll_case"
+  },
+  "geometry": {
+    "type":     "2DCyl",
+    "meshType": "gmsh2",
+    "meshFile": "mesh.msh"
+  },
+  "species": [
+    {"name": "Argon",  "type": "neutral", "mass": 6.633e-26, "weight": 1.0e8,                "ion": "Argon+"},
+    {"name": "Argon+", "type": "charged", "mass": 6.633e-26, "weight": 1.0e8, "charge": 1.0, "neutral": "Argon"}
+  ],
+  "boundary": [ 
+    {"name": "Injection", "physicalSurface": 1, "bTypes": [
+                                                  {"type": "transparent"},
+                                                  {"type": "transparent"}
+                                                 ]},
+    {"name": "Exterior",  "physicalSurface": 2, "bTypes": [
+                                                  {"type": "transparent"},
+                                                  {"type": "transparent"}
+                                                 ]},
+    {"name": "Axis",      "physicalSurface": 3, "bTypes": [
+                                                  {"type": "axis"},
+                                                  {"type": "axis"}
+                                                 ]}
+  ],
+  "inject": [
+    {"name": "Exhausts Ar", "species": "Argon", "flow": 0.7, "units": "sccm",     "v": 300.0, "T": [300.0, 300.0, 300.0],
+                            "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [1, 0, 0], "physicalSurface": 1},
+    {"name": "Exhausts Ar+", "species": "Argon+", "flow": 0.3, "units": "sccm",     "v": 40000.0, "T": [300.0, 300.0, 300.0],
+                             "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [1, 0, 0], "physicalSurface": 1}
+  ],
+  "reference": {
+    "density": 1.0e19,
+    "mass": 6.633e-26,
+    "temperature": 300.0,
+    "radius": 1.88e-10
+  },
+  "case": {
+    "tau":  [1.0e-6, 1.0e-6],
+    "time": 4.0e-3,
+    "pusher": ["2DCylNeutral", "2DCylNeutral"],
+    "WeightingScheme": "Volume"
+  },
+  "parallel": {
+    "OpenMP":{
+      "nThreads": 24
+    }
+  }
+}
diff --git a/runs/cylFlow/input.json b/runs/cylFlow/input.json
index 6abd1c7..b61af96 100644
--- a/runs/cylFlow/input.json
+++ b/runs/cylFlow/input.json
@@ -7,7 +7,7 @@
   },
   "geometry": {
     "type":     "2DCyl",
-    "meshType": "gmsh",
+    "meshType": "gmsh2",
     "meshFile": "mesh.msh"
   },
   "species": [
diff --git a/src/makefile b/src/makefile
index b398134..75795c8 100644
--- a/src/makefile
+++ b/src/makefile
@@ -3,12 +3,13 @@ OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/module
 			  	$(OBJDIR)/moduleErrors.o $(OBJDIR)/moduleList.o $(OBJDIR)/moduleOutput.o \
 			  	$(OBJDIR)/moduleBoundary.o $(OBJDIR)/moduleCaseParam.o $(OBJDIR)/moduleRefParam.o \
 			  	$(OBJDIR)/moduleCollisions.o $(OBJDIR)/moduleTable.o $(OBJDIR)/moduleParallel.o \
-			  	$(OBJDIR)/moduleEM.o $(OBJDIR)/moduleRandom.o  $(OBJDIR)/moduleMath.o \
-			  	$(OBJDIR)/moduleMesh3DCart.o $(OBJDIR)/moduleMesh3DCartRead.o	\
-			  	$(OBJDIR)/moduleMesh2DCyl.o  $(OBJDIR)/moduleMesh2DCylRead.o \
-			  	$(OBJDIR)/moduleMesh2DCart.o $(OBJDIR)/moduleMesh2DCartRead.o	\
-          $(OBJDIR)/moduleMesh1DCart.o $(OBJDIR)/moduleMesh1DCartRead.o \
-          $(OBJDIR)/moduleMesh1DRad.o  $(OBJDIR)/moduleMesh1DRadRead.o 
+			  	$(OBJDIR)/moduleEM.o $(OBJDIR)/moduleRandom.o $(OBJDIR)/moduleMath.o \
+			  	$(OBJDIR)/moduleMeshInputGmsh2.o $(OBJDIR)/moduleMeshOutputGmsh2.o \
+			  	$(OBJDIR)/moduleMesh3DCart.o \
+			  	$(OBJDIR)/moduleMesh2DCyl.o  \
+			  	$(OBJDIR)/moduleMesh2DCart.o \
+          $(OBJDIR)/moduleMesh1DRad.o  \
+          $(OBJDIR)/moduleMesh1DCart.o
 
 all: $(OUTPUT)
 
diff --git a/src/modules/mesh/1DCart/makefile b/src/modules/mesh/1DCart/makefile
index e078727..f1045e9 100644
--- a/src/modules/mesh/1DCart/makefile
+++ b/src/modules/mesh/1DCart/makefile
@@ -1,8 +1,5 @@
-all: moduleMesh1DCart.o moduleMesh1DCartRead.o
+all: moduleMesh1DCart.o
 
 moduleMesh1DCart.o: moduleMesh1DCart.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleMesh1DCartRead.o: moduleMesh1DCart.o moduleMesh1DCartRead.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 34209fa..12898d5 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -308,27 +308,27 @@ MODULE moduleMesh1DCart
     END SUBROUTINE partialDerSegm
 
     !Computes local stiffness matrix
-    FUNCTION elemKSegm(self) RESULT(ke)
+    PURE FUNCTION elemKSegm(self) RESULT(localK)
       IMPLICIT NONE
 
       CLASS(meshVol1DCartSegm), INTENT(in):: self
-      REAL(8):: ke(1:2,1:2)
+      REAL(8), ALLOCATABLE:: localK(:,:)
       REAL(8):: Xii(1:3)
       REAL(8):: dPsi(1:1, 1:2)
       REAL(8):: invJ(1), detJ
       INTEGER:: l
 
-      ke      = 0.D0
+      ALLOCATE(localK(1:2,1:2))
+      localK      = 0.D0
       Xii     = 0.D0
-
       DO l = 1, 3
         xii(1) = corSeg(l)
         dPsi    = self%dPsi(Xii)
         detJ    = self%detJac(Xii, dPsi)
         invJ    = self%invJac(Xii, dPsi)
-        ke      = ke + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
-                              RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
-                       wSeg(l)/detJ
+        localK  = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
+                                  RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
+                           wSeg(l)/detJ
 
       END DO
 
@@ -522,6 +522,117 @@ MODULE moduleMesh1DCart
 
     END FUNCTION invJ1DCart
 
+    SUBROUTINE connectMesh1DCart(self)
+      IMPLICIT NONE
+
+      CLASS(meshParticle), INTENT(inout):: self
+      INTEGER:: e, et
+
+      DO e = 1, self%numVols
+        !Connect Vol-Vol
+        DO et = 1, self%numVols
+          IF (e /= et) THEN
+            CALL connectVolVol(self%vols(e)%obj, self%vols(et)%obj)
+
+          END IF
+
+        END DO
+
+        !Connect Vol-Edge
+        DO et = 1, self%numEdges
+          CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+
+        END DO
+
+      END DO
+
+    END SUBROUTINE connectMesh1DCart
+
+    SUBROUTINE connectVolVol(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol), INTENT(inout):: elemA
+      CLASS(meshVol), INTENT(inout):: elemB
+
+        SELECT TYPE(elemA)
+        TYPE IS(meshVol1DCartSegm)
+          SELECT TYPE(elemB)
+          TYPE IS(meshVol1DCartSegm)
+            CALL connectSegmSegm(elemA, elemB)
+
+          END SELECT
+
+        END SELECT
+
+    END SUBROUTINE connectVolVol
+
+    SUBROUTINE connectSegmSegm(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol1DCartSegm), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol1DCartSegm), INTENT(inout), TARGET:: elemB
+
+      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
+          elemA%n2%n == elemB%n1%n) THEN
+        elemA%e1 => elemB
+        elemB%e2 => elemA
+        
+      END IF
+
+      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
+          elemA%n1%n == elemB%n2%n) THEN
+
+        elemA%e2 => elemB
+        elemB%e1 => elemA
+
+      END IF
+
+    END SUBROUTINE connectSegmSegm
+
+    SUBROUTINE connectVolEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol),  INTENT(inout):: elemA
+      CLASS(meshEdge), INTENT(inout):: elemB
+
+      SELECT TYPE(elemA)
+      TYPE IS (meshVol1DCartSegm)
+        SELECT TYPE(elemB)
+        CLASS IS(meshEdge1DCart)
+          CALL connectSegmEdge(elemA, elemB)
+
+        END SELECT
+
+      END SELECT
+
+    END SUBROUTINE connectVolEdge
+
+    SUBROUTINE connectSegmEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol1DCartSegm), INTENT(inout), TARGET:: elemA
+      CLASS(meshEdge1DCart),    INTENT(inout), TARGET:: elemB
+
+      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
+          elemA%n2%n == elemB%n1%n) THEN
+
+        elemA%e1 => elemB
+        elemB%e2 => elemA
+ 
+        !Revers the normal to point inside the domain
+        elemB%normal = - elemB%normal
+
+      END IF
+
+      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
+          elemA%n1%n == elemB%n1%n) THEN
+
+        elemA%e2 => elemB
+        elemB%e1 => elemA
+
+      END IF
+
+    END SUBROUTINE connectSegmEdge
 
 END MODULE moduleMesh1DCart
 
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCartRead.f90 b/src/modules/mesh/1DCart/moduleMesh1DCartRead.f90
deleted file mode 100644
index d69cfdc..0000000
--- a/src/modules/mesh/1DCart/moduleMesh1DCartRead.f90
+++ /dev/null
@@ -1,264 +0,0 @@
-MODULE moduleMesh1DCartRead
-  USE moduleMesh
-  USE moduleMesh1DCart
-  
-  !TODO: make this abstract to allow different mesh formats
-  TYPE, EXTENDS(meshGeneric):: mesh1DCartGeneric
-    CONTAINS
-      PROCEDURE, PASS:: init     => init1DCartMesh
-      PROCEDURE, PASS:: readMesh => readMesh1DCart
-
-  END TYPE
-
-  INTERFACE connected
-    MODULE PROCEDURE connectedVolVol, connectedVolEdge
-
-  END INTERFACE connected
-
-  CONTAINS
-    !Init 1D mesh
-    SUBROUTINE init1DCartMesh(self, meshFormat)
-      USE moduleMesh
-      USE moduleErrors
-      IMPLICIT NONE
-
-      CLASS(mesh1DCartGeneric), INTENT(out):: self
-      CHARACTER(:), ALLOCATABLE, INTENT(in):: meshFormat
-
-      SELECT CASE(meshFormat)
-      CASE ("gmsh")
-        self%printOutput => printOutputGmsh
-        self%printColl   => printCollGmsh
-        self%printEM     => printEMGmsh
-
-      CASE DEFAULT
-        CALL criticalError("Mesh type " // meshFormat // " not supported.", "init1DCart")
-        
-      END SELECT
-
-    END SUBROUTINE init1DCartMesh
-
-    !Reads 1D mesh
-    SUBROUTINE readMesh1DCart(self, filename)
-      USE  moduleBoundary
-      IMPLICIT NONE
-
-      CLASS(mesh1DCartGeneric), INTENT(inout):: self
-      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
-      REAL(8):: x
-      INTEGER:: p(1:2)
-      INTEGER:: e, et, n, eTemp, elemType, bt
-      INTEGER:: totalNumElem
-      INTEGER:: boundaryType
-
-      !Open file mesh
-      OPEN(10, FILE=TRIM(filename))
-      !Skip header
-      READ(10, *)
-      READ(10, *)
-      READ(10, *)
-      READ(10, *)
-      !Read number of nodes
-      READ(10, *) self%numNodes
-      !Allocate required matrices and vectors
-      ALLOCATE(self%nodes(1:self%numNodes))
-      ALLOCATE(self%K(1:self%numNodes, 1:self%numNodes))
-      ALLOCATE(self%IPIV(1:self%numNodes, 1:self%numNodes))
-      self%K = 0.D0
-      self%IPIV = 0
-      !Read nodes coordinates. Only relevant for x
-      DO e = 1, self%numNodes
-        READ(10, *) n, x
-        ALLOCATE(meshNode1DCart:: self%nodes(n)%obj)
-        CALL self%nodes(n)%obj%init(n, (/ x, 0.D0, 0.D0 /))
-
-      END DO
-      !Skips comments
-      READ(10, *)
-      READ(10, *)
-      !Reads the total number of elements (edges+vol)
-      READ(10, *) totalNumElem
-      self%numEdges = 0
-      DO e = 1, totalNumElem
-        READ(10, *) eTemp, elemType
-        IF (elemType == 15) THEN !15 is physical node in GMSH
-          self%numEdges = e
-
-        END IF
-
-      END DO
-
-      !Substract the number of edges to the total number of elements
-      !to obtain the number of volume elements
-      self%numVols = totalNumelem - self%numEdges
-      !Allocates arrays
-      ALLOCATE(self%edges(1:self%numEdges))
-      ALLOCATE(self%vols(1:self%numVols))
-
-      !Go back to the beginning of reading elements
-      DO e = 1, totalNumelem
-        BACKSPACE(10)
-
-      END DO
-
-      !Reads edges
-      DO e = 1, self%numEdges
-        READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
-        !Associate boundary condition 
-        bt = getBoundaryId(boundaryType)
-
-        ALLOCATE(meshEdge1DCart:: self%edges(e)%obj)
-
-        CALL self%edges(e)%obj%init(n, p(1:1), bt, boundaryType)
-
-      END DO
-
-      !Read and initialize volumes
-      DO e = 1, self%numVols
-        READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:2)
-        ALLOCATE(meshVol1DCartSegm:: self%vols(e)%obj)
-        CALL self%vols(e)%obj%init(n - self%numEdges, p(1:2))
-
-      END DO
-
-      CLOSE(10)
-
-      !Build connectivity between elements
-      DO e = 1, self%numVols
-        !Connectivity between volumes
-        DO et = 1, self%numVols
-          IF (e /= et) THEN
-            CALL connected(self%vols(e)%obj, self%vols(et)%obj)
-
-          END IF
-
-        END DO
-
-        !Connectivity betwen vols and edges
-        DO et = 1, self%numEdges
-          CALL connected(self%vols(e)%obj, self%edges(et)%obj)
-
-        END DO
-
-        !Constructs the global K matrix
-        CALL constructGlobalK(self%K, self%vols(e)%obj)
-
-      END DO
-
-    END SUBROUTINE readMesh1DCart
-
-    SUBROUTINE connectedVolVol(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol), INTENT(inout):: elemA
-      CLASS(meshVol), INTENT(inout):: elemB
-
-        SELECT TYPE(elemA)
-        TYPE IS(meshVol1DCartSegm)
-          SELECT TYPE(elemB)
-          TYPE IS(meshVol1DCartSegm)
-            CALL connectedSegmSegm(elemA, elemB)
-
-          END SELECT
-
-        END SELECT
-
-    END SUBROUTINE connectedVolVol
-
-    SUBROUTINE connectedSegmSegm(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol1DCartSegm), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol1DCartSegm), INTENT(inout), TARGET:: elemB
-
-      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
-          elemA%n2%n == elemB%n1%n) THEN
-        elemA%e1 => elemB
-        elemB%e2 => elemA
-        
-      END IF
-
-      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
-          elemA%n1%n == elemB%n2%n) THEN
-
-        elemA%e2 => elemB
-        elemB%e1 => elemA
-
-      END IF
-
-    END SUBROUTINE connectedSegmSegm
-
-    SUBROUTINE connectedVolEdge(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol),  INTENT(inout):: elemA
-      CLASS(meshEdge), INTENT(inout):: elemB
-
-      SELECT TYPE(elemA)
-      TYPE IS (meshVol1DCartSegm)
-        SELECT TYPE(elemB)
-        CLASS IS(meshEdge1DCart)
-          CALL connectedSegmEdge(elemA, elemB)
-
-        END SELECT
-
-      END SELECT
-
-    END SUBROUTINE connectedVolEdge
-
-    SUBROUTINE connectedSegmEdge(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol1DCartSegm), INTENT(inout), TARGET:: elemA
-      CLASS(meshEdge1DCart),    INTENT(inout), TARGET:: elemB
-
-      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
-          elemA%n2%n == elemB%n1%n) THEN
-
-        elemA%e1 => elemB
-        elemB%e2 => elemA
- 
-        !Revers the normal to point inside the domain
-        elemB%normal = - elemB%normal
-
-      END IF
-
-      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
-          elemA%n1%n == elemB%n1%n) THEN
-
-        elemA%e2 => elemB
-        elemB%e1 => elemA
-
-      END IF
-
-    END SUBROUTINE connectedSegmEdge
-
-    SUBROUTINE constructGlobalK(K, elem)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(inout):: K(1:,1:)
-      CLASS(meshVol), INTENT(in):: elem
-      REAL(8):: localK(1:2,1:2)
-      INTEGER:: i, j
-      INTEGER:: n(1:2)
-
-      SELECT TYPE(elem)
-      TYPE IS(meshVol1DCartSegm)
-        localK = elem%elemK()
-        n = (/ elem%n1%n, elem%n2%n /)
-
-      CLASS DEFAULT
-        n = 0
-        localK = 0.D0
-
-      END SELECT
-      
-      DO i = 1, 2
-        DO j = 1, 2
-          K(n(i), n(j)) = K(n(i), n(j)) + localK(i, j)
-        END DO
-      END DO
-
-    END SUBROUTINE constructGlobalK
-
-END MODULE moduleMesh1DCartRead
diff --git a/src/modules/mesh/1DRad/makefile b/src/modules/mesh/1DRad/makefile
index 13e34ab..eeacc76 100644
--- a/src/modules/mesh/1DRad/makefile
+++ b/src/modules/mesh/1DRad/makefile
@@ -1,8 +1,5 @@
-all: moduleMesh1DRad.o moduleMesh1DRadRead.o
+all: moduleMesh1DRad.o
 
 moduleMesh1DRad.o: moduleMesh1DRad.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleMesh1DRadRead.o: moduleMesh1DRad.o moduleMesh1DRadRead.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 9678dff..dc47c62 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -312,19 +312,20 @@ MODULE moduleMesh1DRad
     END SUBROUTINE partialDerRad
 
     !Computes local stiffness matrix
-    PURE FUNCTION elemKRad(self) RESULT(ke)
+    PURE FUNCTION elemKRad(self) RESULT(localK)
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
       CLASS(meshVol1DRadSegm), INTENT(in):: self
-      REAL(8):: ke(1:2,1:2)
+      REAL(8), ALLOCATABLE:: localK(:,:)
       REAL(8):: Xii(1:3)
       REAL(8):: dPsi(1:1, 1:2)
       REAL(8):: invJ(1), detJ
       REAL(8):: r, fPsi(1:2)
       INTEGER:: l
 
-      ke      = 0.D0
+      ALLOCATE(localK(1:2, 1:2))
+      localK  = 0.D0
       Xii     = 0.D0
       DO l = 1, 3
         xii(1) = corSeg(l)
@@ -333,13 +334,13 @@ MODULE moduleMesh1DRad
         invJ    = self%invJac(Xii, dPsi)
         fPsi    = self%fPsi(Xii)
         r       = DOT_PRODUCT(fPsi, self%r)
-        ke      = ke + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
-                              RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
-                       r*wSeg(l)/detJ
+        localK  = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
+                                  RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
+                           r*wSeg(l)/detJ
 
       END DO
 
-      ke      = ke*PI2
+      localK = localK*PI2
 
     END FUNCTION elemKRad
 
@@ -532,5 +533,117 @@ MODULE moduleMesh1DRad
 
     END FUNCTION invJ1DRad
 
+    SUBROUTINE connectMesh1DRad(self)
+      IMPLICIT NONE
+
+      CLASS(meshParticle), INTENT(inout):: self
+      INTEGER:: e, et
+
+      DO e = 1, self%numVols
+        !Connect Vol-Vol
+        DO et = 1, self%numVols
+          IF (e /= et) THEN
+            CALL connectVolVol(self%vols(e)%obj, self%vols(et)%obj)
+
+          END IF
+
+        END DO
+
+        !Connect Vol-Edge
+        DO et = 1, self%numEdges
+          CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+
+        END DO
+
+      END DO
+
+    END SUBROUTINE connectMesh1DRad
+
+    SUBROUTINE connectVolVol(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol), INTENT(inout):: elemA
+      CLASS(meshVol), INTENT(inout):: elemB
+
+        SELECT TYPE(elemA)
+        TYPE IS(meshVol1DRadSegm)
+          SELECT TYPE(elemB)
+          TYPE IS(meshVol1DRadSegm)
+            CALL connectSegmSegm(elemA, elemB)
+
+          END SELECT
+
+        END SELECT
+
+    END SUBROUTINE connectVolVol
+
+    SUBROUTINE connectSegmSegm(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol1DRadSegm), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol1DRadSegm), INTENT(inout), TARGET:: elemB
+
+      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
+          elemA%n2%n == elemB%n1%n) THEN
+        elemA%e1 => elemB
+        elemB%e2 => elemA
+        
+      END IF
+
+      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
+          elemA%n1%n == elemB%n2%n) THEN
+
+        elemA%e2 => elemB
+        elemB%e1 => elemA
+
+      END IF
+
+    END SUBROUTINE connectSegmSegm
+
+    SUBROUTINE connectVolEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol),  INTENT(inout):: elemA
+      CLASS(meshEdge), INTENT(inout):: elemB
+
+      SELECT TYPE(elemA)
+      TYPE IS (meshVol1DRadSegm)
+        SELECT TYPE(elemB)
+        CLASS IS(meshEdge1DRad)
+          CALL connectSegmEdge(elemA, elemB)
+
+        END SELECT
+
+      END SELECT
+
+    END SUBROUTINE connectVolEdge
+
+    SUBROUTINE connectSegmEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol1DRadSegm), INTENT(inout), TARGET:: elemA
+      CLASS(meshEdge1DRad),    INTENT(inout), TARGET:: elemB
+
+      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
+          elemA%n2%n == elemB%n1%n) THEN
+
+        elemA%e1 => elemB
+        elemB%e2 => elemA
+
+        !Revers the normal to point inside the domain
+        elemB%normal = - elemB%normal
+
+      END IF
+
+      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
+          elemA%n1%n == elemB%n1%n) THEN
+
+        elemA%e2 => elemB
+        elemB%e1 => elemA
+
+      END IF
+
+    END SUBROUTINE connectSegmEdge
+
 END MODULE moduleMesh1DRad
 
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRadRead.f90 b/src/modules/mesh/1DRad/moduleMesh1DRadRead.f90
deleted file mode 100644
index 4f14b5f..0000000
--- a/src/modules/mesh/1DRad/moduleMesh1DRadRead.f90
+++ /dev/null
@@ -1,264 +0,0 @@
-MODULE moduleMesh1DRadRead
-  USE moduleMesh
-  USE moduleMesh1DRad
-  
-  !TODO: make this abstract to allow different mesh formats
-  TYPE, EXTENDS(meshGeneric):: mesh1DRadGeneric
-    CONTAINS
-      PROCEDURE, PASS:: init     => init1DRadMesh
-      PROCEDURE, PASS:: readMesh => readMesh1DRad
-
-  END TYPE
-
-  INTERFACE connected
-    MODULE PROCEDURE connectedVolVol, connectedVolEdge
-
-  END INTERFACE connected
-
-  CONTAINS
-    !Init 1D mesh
-    SUBROUTINE init1DRadMesh(self, meshFormat)
-      USE moduleMesh
-      USE moduleErrors
-      IMPLICIT NONE
-
-      CLASS(mesh1DRadGeneric), INTENT(out):: self
-      CHARACTER(:), ALLOCATABLE, INTENT(in):: meshFormat
-
-      SELECT CASE(meshFormat)
-      CASE ("gmsh")
-        self%printOutput => printOutputGmsh
-        self%printColl   => printCollGmsh
-        self%printEM     => printEMGmsh
-
-      CASE DEFAULT
-        CALL criticalError("Mesh type " // meshFormat // " not supported.", "init1DRad")
-        
-      END SELECT
-
-    END SUBROUTINE init1DRadMesh
-
-    !Reads 1D mesh
-    SUBROUTINE readMesh1DRad(self, filename)
-      USE  moduleBoundary
-      IMPLICIT NONE
-
-      CLASS(mesh1DRadGeneric), INTENT(inout):: self
-      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
-      REAL(8):: x
-      INTEGER:: p(1:2)
-      INTEGER:: e, et, n, eTemp, elemType, bt
-      INTEGER:: totalNumElem
-      INTEGER:: boundaryType
-
-      !Open file mesh
-      OPEN(10, FILE=TRIM(filename))
-      !Skip header
-      READ(10, *)
-      READ(10, *)
-      READ(10, *)
-      READ(10, *)
-      !Read number of nodes
-      READ(10, *) self%numNodes
-      !Allocate required matrices and vectors
-      ALLOCATE(self%nodes(1:self%numNodes))
-      ALLOCATE(self%K(1:self%numNodes, 1:self%numNodes))
-      ALLOCATE(self%IPIV(1:self%numNodes, 1:self%numNodes))
-      self%K = 0.D0
-      self%IPIV = 0
-      !Read nodes coordinates. Only relevant for x
-      DO e = 1, self%numNodes
-        READ(10, *) n, x
-        ALLOCATE(meshNode1DRad:: self%nodes(n)%obj)
-        CALL self%nodes(n)%obj%init(n, (/ x, 0.D0, 0.D0 /))
-
-      END DO
-      !Skips comments
-      READ(10, *)
-      READ(10, *)
-      !Reads the total number of elements (edges+vol)
-      READ(10, *) totalNumElem
-      self%numEdges = 0
-      DO e = 1, totalNumElem
-        READ(10, *) eTemp, elemType
-        IF (elemType == 15) THEN !15 is physical node in GMSH
-          self%numEdges = e
-
-        END IF
-
-      END DO
-
-      !Substract the number of edges to the total number of elements
-      !to obtain the number of volume elements
-      self%numVols = totalNumelem - self%numEdges
-      !Allocates arrays
-      ALLOCATE(self%edges(1:self%numEdges))
-      ALLOCATE(self%vols(1:self%numVols))
-
-      !Go back to the beginning of reading elements
-      DO e = 1, totalNumelem
-        BACKSPACE(10)
-
-      END DO
-
-      !Reads edges
-      DO e = 1, self%numEdges
-        READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
-        !Associate boundary condition 
-        bt = getBoundaryId(boundaryType)
-
-        ALLOCATE(meshEdge1DRad:: self%edges(e)%obj)
-
-        CALL self%edges(e)%obj%init(n, p(1:1), bt, boundaryType)
-
-      END DO
-
-      !Read and initialize volumes
-      DO e = 1, self%numVols
-        READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:2)
-        ALLOCATE(meshVol1DRadSegm:: self%vols(e)%obj)
-        CALL self%vols(e)%obj%init(n - self%numEdges, p(1:2))
-
-      END DO
-
-      CLOSE(10)
-
-      !Build connectivity between elements
-      DO e = 1, self%numVols
-        !Connectivity between volumes
-        DO et = 1, self%numVols
-          IF (e /= et) THEN
-            CALL connected(self%vols(e)%obj, self%vols(et)%obj)
-
-          END IF
-
-        END DO
-
-        !Connectivity betwen vols and edges
-        DO et = 1, self%numEdges
-          CALL connected(self%vols(e)%obj, self%edges(et)%obj)
-
-        END DO
-
-        !Constructs the global K matrix
-        CALL constructGlobalK(self%K, self%vols(e)%obj)
-
-      END DO
-
-    END SUBROUTINE readMesh1DRad
-
-    SUBROUTINE connectedVolVol(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol), INTENT(inout):: elemA
-      CLASS(meshVol), INTENT(inout):: elemB
-
-        SELECT TYPE(elemA)
-        TYPE IS(meshVol1DRadSegm)
-          SELECT TYPE(elemB)
-          TYPE IS(meshVol1DRadSegm)
-            CALL connectedSegmSegm(elemA, elemB)
-
-          END SELECT
-
-        END SELECT
-
-    END SUBROUTINE connectedVolVol
-
-    SUBROUTINE connectedSegmSegm(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol1DRadSegm), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol1DRadSegm), INTENT(inout), TARGET:: elemB
-
-      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
-          elemA%n2%n == elemB%n1%n) THEN
-        elemA%e1 => elemB
-        elemB%e2 => elemA
-        
-      END IF
-
-      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
-          elemA%n1%n == elemB%n2%n) THEN
-
-        elemA%e2 => elemB
-        elemB%e1 => elemA
-
-      END IF
-
-    END SUBROUTINE connectedSegmSegm
-
-    SUBROUTINE connectedVolEdge(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol),  INTENT(inout):: elemA
-      CLASS(meshEdge), INTENT(inout):: elemB
-
-      SELECT TYPE(elemA)
-      TYPE IS (meshVol1DRadSegm)
-        SELECT TYPE(elemB)
-        CLASS IS(meshEdge1DRad)
-          CALL connectedSegmEdge(elemA, elemB)
-
-        END SELECT
-
-      END SELECT
-
-    END SUBROUTINE connectedVolEdge
-
-    SUBROUTINE connectedSegmEdge(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol1DRadSegm), INTENT(inout), TARGET:: elemA
-      CLASS(meshEdge1DRad),    INTENT(inout), TARGET:: elemB
-
-      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
-          elemA%n2%n == elemB%n1%n) THEN
-
-        elemA%e1 => elemB
-        elemB%e2 => elemA
-
-        !Revers the normal to point inside the domain
-        elemB%normal = - elemB%normal
-
-      END IF
-
-      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
-          elemA%n1%n == elemB%n1%n) THEN
-
-        elemA%e2 => elemB
-        elemB%e1 => elemA
-
-      END IF
-
-    END SUBROUTINE connectedSegmEdge
-
-    SUBROUTINE constructGlobalK(K, elem)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(inout):: K(1:,1:)
-      CLASS(meshVol), INTENT(in):: elem
-      REAL(8):: localK(1:2,1:2)
-      INTEGER:: i, j
-      INTEGER:: n(1:2)
-
-      SELECT TYPE(elem)
-      TYPE IS(meshVol1DRadSegm)
-        localK = elem%elemK()
-        n = (/ elem%n1%n, elem%n2%n /)
-
-      CLASS DEFAULT
-        n = 0
-        localK = 0.D0
-
-      END SELECT
-      
-      DO i = 1, 2
-        DO j = 1, 2
-          K(n(i), n(j)) = K(n(i), n(j)) + localK(i, j)
-        END DO
-      END DO
-
-    END SUBROUTINE constructGlobalK
-
-END MODULE moduleMesh1DRadRead
diff --git a/src/modules/mesh/2DCart/makefile b/src/modules/mesh/2DCart/makefile
index 65211cb..06c5288 100644
--- a/src/modules/mesh/2DCart/makefile
+++ b/src/modules/mesh/2DCart/makefile
@@ -1,8 +1,5 @@
-all : moduleMesh2DCart.o moduleMesh2DCartRead.o
+all : moduleMesh2DCart.o
 
 moduleMesh2DCart.o: moduleMesh2DCart.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleMesh2DCartRead.o: moduleMesh2DCart.o moduleMesh2DCartRead.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index d78c663..11e6454 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -414,17 +414,18 @@ MODULE moduleMesh2DCart
     END SUBROUTINE partialDerQuad
 
     !Computes element local stiffness matrix
-    PURE FUNCTION elemKQuad(self) RESULT(ke)
+    PURE FUNCTION elemKQuad(self) RESULT(localK)
       IMPLICIT NONE
 
       CLASS(meshVol2DCartQuad), INTENT(in):: self
+      REAL(8), ALLOCATABLE:: localK(:,:)
       REAL(8):: xi(1:3)
       REAL(8):: fPsi(1:4), dPsi(1:2,1:4)
-      REAL(8):: ke(1:4,1:4)
       REAL(8):: invJ(1:2,1:2), detJ
       INTEGER:: l, m
 
-      ke=0.D0
+      ALLOCATE(localK(1:4, 1:4))
+      localK=0.D0
       xi=0.D0
       !Start 2D Gauss Quad Integral
       DO l=1, 3
@@ -436,7 +437,7 @@ MODULE moduleMesh2DCart
           fPsi      = self%fPsi(xi)
           detJ      = self%detJac(xi,dPsi)
           invJ      = self%invJac(xi,dPsi)
-          ke        = ke + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wQuad(l)*wQuad(m)/detJ
+          localK    = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wQuad(l)*wQuad(m)/detJ
 
         END DO
       END DO
@@ -776,27 +777,28 @@ MODULE moduleMesh2DCart
     END SUBROUTINE partialDerTria
 
     !Computes element local stiffness matrix
-    PURE FUNCTION elemKTria(self) RESULT(ke)
+    PURE FUNCTION elemKTria(self) RESULT(localK)
       IMPLICIT NONE
 
       CLASS(meshVol2DCartTria), INTENT(in):: self
+      REAL(8), ALLOCATABLE:: localK(:,:)
       REAL(8):: xi(1:3)
       REAL(8):: fPsi(1:3), dPsi(1:2,1:3)
-      REAL(8):: ke(1:3,1:3)
       REAL(8):: invJ(1:2,1:2), detJ
       INTEGER:: l
 
-      ke=0.D0
+      ALLOCATE(localK(1:4, 1:4))
+      localK=0.D0
       xi=0.D0
       !Start 2D Gauss Quad Integral
       DO l=1, 4
-        xi(1) = xi1Tria(l)
-        xi(2) = xi2Tria(l)
-        dPsi  = self%dPsi(xi)
-        detJ  = self%detJac(xi,dPsi)
-        invJ  = self%invJac(xi,dPsi)
-        fPsi  = self%fPsi(xi)
-        ke    = ke + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wTria(l)/detJ
+        xi(1)  = xi1Tria(l)
+        xi(2)  = xi2Tria(l)
+        dPsi   = self%dPsi(xi)
+        detJ   = self%detJac(xi,dPsi)
+        invJ   = self%invJac(xi,dPsi)
+        fPsi   = self%fPsi(xi)
+        localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wTria(l)/detJ
 
       END DO
 
@@ -1017,4 +1019,449 @@ MODULE moduleMesh2DCart
 
     END FUNCTION invJ2DCart
 
+    SUBROUTINE connectMesh2DCart(self)
+      IMPLICIT NONE
+
+      CLASS(meshParticle), INTENT(inout):: self
+      INTEGER:: e, et
+
+      DO e = 1, self%numVols
+        !Connect Vol-Vol
+        DO et = 1, self%numVols
+          IF (e /= et) THEN
+            CALL connectVolVol(self%vols(e)%obj, self%vols(et)%obj)
+
+          END IF
+
+        END DO
+
+        !Connect Vol-Edge
+        DO et = 1, self%numEdges
+          CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+
+        END DO
+
+      END DO
+
+    END SUBROUTINE connectMesh2DCart
+
+    !Selects type of elements to build connection
+    SUBROUTINE connectVolVol(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol), INTENT(inout):: elemA
+      CLASS(meshVol), INTENT(inout):: elemB
+
+      SELECT TYPE(elemA)
+      TYPE IS(meshVol2DCartQuad)
+        !Element A is a quadrilateral
+        SELECT TYPE(elemB)
+        TYPE IS(meshVol2DCartQuad)
+          !Element B is a quadrilateral
+          CALL connectQuadQuad(elemA, elemB)
+
+        TYPE IS(meshVol2DCartTria)
+          !Element B is a triangle
+          CALL connectQuadTria(elemA, elemB)
+
+        END SELECT
+
+      TYPE IS(meshVol2DCartTria)
+        !Element A is a Triangle
+        SELECT TYPE(elemB)
+        TYPE IS(meshVol2DCartQuad)
+          !Element B is a quadrilateral
+          CALL connectQuadTria(elemB, elemA)
+
+        TYPE IS(meshVol2DCartTria)
+          !Element B is a triangle
+          CALL connectTriaTria(elemA, elemB)
+
+        END SELECT
+
+      END SELECT
+
+    END SUBROUTINE connectVolVol
+
+    SUBROUTINE connectVolEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol),  INTENT(inout):: elemA
+      CLASS(meshEdge), INTENT(inout):: elemB
+
+      SELECT TYPE(elemB)
+      CLASS IS(meshEdge2DCart)
+        SELECT TYPE(elemA)
+        TYPE IS(meshVol2DCartQuad)
+          !Element A is a quadrilateral
+          CALL connectQuadEdge(elemA, elemB)
+
+        TYPE IS(meshVol2DCartTria)
+          !Element A is a triangle
+          CALL connectTriaEdge(elemA, elemB)
+
+        END SELECT
+
+      END SELECT
+
+    END SUBROUTINE connectVolEdge
+
+    SUBROUTINE connectQuadQuad(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
+          elemA%n1%n == elemB%n4%n   .AND. &
+          elemA%n2%n == elemB%n3%n) THEN
+        elemA%e1 => elemB
+        elemB%e3 => elemA
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
+          elemA%n2%n == elemB%n1%n   .AND. &
+          elemA%n3%n == elemB%n4%n) THEN
+        elemA%e2 => elemB
+        elemB%e4 => elemA
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3) .AND. &
+          elemA%n3%n == elemB%n2%n   .AND. &
+          elemA%n4%n == elemB%n1%n) THEN
+        elemA%e3 => elemB
+        elemB%e1 => elemA
+
+      END IF
+
+      !Check direction 4
+      IF (.NOT. ASSOCIATED(elemA%e4) .AND. &
+          elemA%n4%n == elemB%n3%n   .AND. &
+          elemA%n1%n == elemB%n2%n) THEN
+        elemA%e4 => elemB
+        elemB%e2 => elemA
+
+      END IF
+
+    END SUBROUTINE connectQuadQuad
+
+    SUBROUTINE connectQuadTria(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (elemA%n1%n == elemB%n1%n .AND. &
+                elemA%n2%n == elemB%n3%n) THEN
+          elemA%e1 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n3%n .AND. &
+                elemA%n2%n == elemB%n2%n) THEN
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
+                elemA%n2%n == elemB%n1%n) THEN
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (elemA%n2%n == elemB%n1%n .AND. &
+                elemA%n3%n == elemB%n3%n) THEN
+          elemA%e2 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n3%n .AND. &
+                elemA%n3%n == elemB%n2%n) THEN
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
+                elemA%n3%n == elemB%n1%n) THEN
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (elemA%n3%n == elemB%n1%n .AND. &
+                elemA%n4%n == elemB%n3%n) THEN
+          elemA%e3 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n3%n .AND. &
+                elemA%n4%n == elemB%n2%n) THEN
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
+                elemA%n4%n == elemB%n1%n) THEN
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 4
+      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
+        IF     (elemA%n4%n == elemB%n1%n .AND. &
+                elemA%n1%n == elemB%n3%n) THEN
+          elemA%e4 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n3%n .AND. &
+                elemA%n1%n == elemB%n2%n) THEN
+          elemA%e4 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
+                elemA%n1%n == elemB%n1%n) THEN
+          elemA%e4 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+    END SUBROUTINE connectQuadTria
+
+    SUBROUTINE connectTriaTria(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (elemA%n1%n == elemB%n1%n .AND. &
+                elemA%n2%n == elemB%n3%n) THEN
+          elemA%e1 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
+                elemA%n2%n == elemB%n1%n) THEN
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n3%n .AND. &
+                elemA%n2%n == elemB%n2%n) THEN
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (elemA%n2%n == elemB%n1%n .AND. &
+                elemA%n3%n == elemB%n3%n) THEN
+          elemA%e2 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
+                elemA%n3%n == elemB%n1%n) THEN
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n3%n .AND. &
+                elemA%n3%n == elemB%n2%n) THEN
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+        END IF
+
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (elemA%n3%n == elemB%n1%n .AND. &
+                elemA%n1%n == elemB%n3%n) THEN
+          elemA%e3 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
+                elemA%n1%n == elemB%n1%n) THEN
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n3%n .AND. &
+                elemA%n1%n == elemB%n2%n) THEN
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+        END IF
+
+
+      END IF
+
+    END SUBROUTINE connectTriaTria
+
+    SUBROUTINE connectQuadEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshEdge2DCart),    INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (elemA%n1%n == elemB%n1%n .AND. &
+                elemA%n2%n == elemB%n2%n) THEN
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
+                elemA%n2%n == elemB%n1%n) THEN
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
+        END IF
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (elemA%n2%n == elemB%n1%n .AND. &
+                elemA%n3%n == elemB%n2%n) THEN
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
+                elemA%n3%n == elemB%n1%n) THEN
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
+        END IF
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (elemA%n3%n == elemB%n1%n .AND. &
+                elemA%n4%n == elemB%n2%n) THEN
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
+                elemA%n4%n == elemB%n1%n) THEN
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
+        END IF
+
+      END IF
+
+      !Check direction 4
+      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
+        IF     (elemA%n4%n == elemB%n1%n .AND. &
+                elemA%n1%n == elemB%n2%n) THEN
+          elemA%e4 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
+                elemA%n1%n == elemB%n1%n) THEN
+          elemA%e4 => elemB
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
+        END IF
+
+      END IF
+
+    END SUBROUTINE connectQuadEdge
+
+    SUBROUTINE connectTriaEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemA
+      CLASS(meshEdge2DCart),    INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (elemA%n1%n == elemB%n1%n .AND. &
+                elemA%n2%n == elemB%n2%n) THEN
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
+                elemA%n2%n == elemB%n1%n) THEN
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+          
+        END IF
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (elemA%n2%n == elemB%n1%n .AND. &
+                elemA%n3%n == elemB%n2%n) THEN
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
+                elemA%n3%n == elemB%n1%n) THEN
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
+        END IF
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (elemA%n3%n == elemB%n1%n .AND. &
+                elemA%n1%n == elemB%n2%n) THEN
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
+                elemA%n1%n == elemB%n1%n) THEN
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
+        END IF
+
+      END IF
+
+    END SUBROUTINE connectTriaEdge
+
 END MODULE moduleMesh2DCart
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90 b/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
deleted file mode 100644
index 96664df..0000000
--- a/src/modules/mesh/2DCart/moduleMesh2DCartRead.f90
+++ /dev/null
@@ -1,620 +0,0 @@
-MODULE moduleMesh2DCartRead
-  USE moduleMesh
-  USE moduleMesh2DCart
-
-  TYPE, EXTENDS(meshGeneric):: mesh2DCartGeneric
-    CONTAINS
-      PROCEDURE, PASS:: init     => init2DCartMesh
-      PROCEDURE, PASS:: readMesh => readMesh2DCartGmsh
-
-  END TYPE
-
-  INTERFACE connected
-    MODULE PROCEDURE connectedVolVol, connectedVolEdge
-
-  END INTERFACE connected
-
-  CONTAINS
-    !Init mesh
-    SUBROUTINE init2DCartMesh(self, meshFormat)
-      USE moduleMesh
-      USE moduleErrors
-      IMPLICIT NONE
-
-      CLASS(mesh2DCartGeneric), INTENT(out):: self
-      CHARACTER(:), ALLOCATABLE, INTENT(in):: meshFormat
-
-      SELECT CASE(meshFormat)
-      CASE ("gmsh")
-        self%printOutput => printOutputGmsh
-        self%printColl   => printCollGmsh
-        self%printEM     => printEMGmsh
-
-      CASE DEFAULT
-        CALL criticalError("Mesh type " // meshFormat // " not supported.", "init2DCartMesh")
-        
-      END SELECT
-
-    END SUBROUTINE init2DCartMesh
-
-    !Read mesh from gmsh file
-    SUBROUTINE readMesh2DCartGmsh(self, filename)
-      USE moduleBoundary
-      IMPLICIT NONE
-
-      CLASS(mesh2DCartGeneric), INTENT(inout):: self
-      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
-      REAL(8):: x, y
-      INTEGER:: p(1:4)
-      INTEGER:: e=0, et=0, n=0, eTemp=0, elemType=0, bt = 0
-      INTEGER:: totalNumElem
-      INTEGER:: boundaryType
-
-      !Read msh
-      OPEN(10, FILE=TRIM(filename))
-      !Skip header
-      READ(10, *)
-      READ(10, *)
-      READ(10, *)
-      READ(10, *)
-      !Read number of nodes
-      READ(10, *) self%numNodes
-      !Allocate required matrices and vectors
-      ALLOCATE(self%nodes(1:self%numNodes))
-      ALLOCATE(self%K(1:self%numNodes,1:self%numNodes))
-      ALLOCATE(self%IPIV(1:self%numNodes,1:self%numNodes))
-      self%K = 0.D0
-      self%IPIV = 0
-      !Read node cartesian coordinates (x=x, y=y, z=null)
-      DO e=1, self%numNodes
-        READ(10, *) n, x, y
-        ALLOCATE(meshNode2DCart:: self%nodes(n)%obj)
-        CALL self%nodes(n)%obj%init(n, (/x, y, 0.D0 /))
-
-      END DO
-      !Skips comments
-      READ(10, *)
-      READ(10, *)
-      !Reads Totalnumber of elements
-      READ(10, *) TotalnumElem
-      !counts edges and volume elements
-      self%numEdges = 0
-      DO e=1, TotalnumElem
-        READ(10,*) eTemp, elemType
-        IF (elemType==1) THEN
-          self%numEdges=e
-        END IF
-      END DO
-      !Substract the number of edges to the total number of elements
-      !to obtain the number of volume elements
-      self%numVols = TotalnumElem - self%numEdges
-      !Allocates arrays
-      ALLOCATE(self%edges(1:self%numEdges))
-      ALLOCATE(self%vols(1:self%numVols))
-
-      !Go back to the beggining to read elements
-      DO e=1, totalNumElem
-        BACKSPACE(10)
-      END DO
-
-      !Reads edges
-      DO e=1, self%numEdges
-        READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
-        !Associate boundary condition procedure.
-        bt = getBoundaryId(boundaryType)
-
-        ALLOCATE(meshEdge2DCart:: self%edges(e)%obj)
-
-        CALL self%edges(e)%obj%init(n, p(1:2), bt, boundaryType)
-
-      END DO
-
-      !Read and initialize volumes
-      DO e=1, self%numVols
-        READ(10,*) n, elemType
-        BACKSPACE(10)
-
-        SELECT CASE(elemType)
-        CASE (2)
-          !Triangular element
-          READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:3)
-          ALLOCATE(meshVol2DCartTria:: self%vols(e)%obj)
-          CALL self%vols(e)%obj%init(n - self%numEdges, p(1:3))
-
-        CASE (3)
-          !Quadrilateral element
-          READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:4)
-          ALLOCATE(meshVol2DCartQuad:: self%vols(e)%obj)
-          CALL self%vols(e)%obj%init(n - self%numEdges, p(1:4))
-
-        END SELECT
-
-      END DO
-
-      CLOSE(10)
-
-      !Build connectivity between elements
-      DO e = 1, self%numVols
-        !Connectivity between volumes
-        DO et = 1, self%numVols
-          IF (e /= et) THEN
-            CALL connected(self%vols(e)%obj, self%vols(et)%obj)
-
-          END IF
-        END DO
-
-        !Connectivity between vols and edges
-        DO et = 1, self%numEdges
-          CALL connected(self%vols(e)%obj, self%edges(et)%obj)
-
-        END DO
-
-        !Constructs the global K matrix
-        CALL constructGlobalK(self%K, self%vols(e)%obj)
-
-      END DO
-
-    END SUBROUTINE readMesh2DCartGmsh
-
-    !Selects type of elements to build connection
-    SUBROUTINE connectedVolVol(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol), INTENT(inout):: elemA
-      CLASS(meshVol), INTENT(inout):: elemB
-
-      SELECT TYPE(elemA)
-      TYPE IS(meshVol2DCartQuad)
-        !Element A is a quadrilateral
-        SELECT TYPE(elemB)
-        TYPE IS(meshVol2DCartQuad)
-          !Element B is a quadrilateral
-          CALL connectedQuadQuad(elemA, elemB)
-
-        TYPE IS(meshVol2DCartTria)
-          !Element B is a triangle
-          CALL connectedQuadTria(elemA, elemB)
-
-        END SELECT
-
-      TYPE IS(meshVol2DCartTria)
-        !Element A is a Triangle
-        SELECT TYPE(elemB)
-        TYPE IS(meshVol2DCartQuad)
-          !Element B is a quadrilateral
-          CALL connectedQuadTria(elemB, elemA)
-
-        TYPE IS(meshVol2DCartTria)
-          !Element B is a triangle
-          CALL connectedTriaTria(elemA, elemB)
-
-        END SELECT
-
-      END SELECT
-
-    END SUBROUTINE connectedVolVol
-
-    SUBROUTINE connectedVolEdge(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol),  INTENT(inout):: elemA
-      CLASS(meshEdge), INTENT(inout):: elemB
-
-      SELECT TYPE(elemB)
-      CLASS IS(meshEdge2DCart)
-        SELECT TYPE(elemA)
-        TYPE IS(meshVol2DCartQuad)
-          !Element A is a quadrilateral
-          CALL connectedQuadEdge(elemA, elemB)
-
-        TYPE IS(meshVol2DCartTria)
-          !Element A is a triangle
-          CALL connectedTriaEdge(elemA, elemB)
-
-        END SELECT
-
-      END SELECT
-
-    END SUBROUTINE connectedVolEdge
-
-    SUBROUTINE connectedQuadQuad(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemB
-
-      !Check direction 1
-      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
-          elemA%n1%n == elemB%n4%n   .AND. &
-          elemA%n2%n == elemB%n3%n) THEN
-        elemA%e1 => elemB
-        elemB%e3 => elemA
-
-      END IF
-
-      !Check direction 2
-      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
-          elemA%n2%n == elemB%n1%n   .AND. &
-          elemA%n3%n == elemB%n4%n) THEN
-        elemA%e2 => elemB
-        elemB%e4 => elemA
-
-      END IF
-
-      !Check direction 3
-      IF (.NOT. ASSOCIATED(elemA%e3) .AND. &
-          elemA%n3%n == elemB%n2%n   .AND. &
-          elemA%n4%n == elemB%n1%n) THEN
-        elemA%e3 => elemB
-        elemB%e1 => elemA
-
-      END IF
-
-      !Check direction 4
-      IF (.NOT. ASSOCIATED(elemA%e4) .AND. &
-          elemA%n4%n == elemB%n3%n   .AND. &
-          elemA%n1%n == elemB%n2%n) THEN
-        elemA%e4 => elemB
-        elemB%e2 => elemA
-
-      END IF
-
-    END SUBROUTINE connectedQuadQuad
-
-    SUBROUTINE connectedQuadTria(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemB
-
-      !Check direction 1
-      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
-        IF     (elemA%n1%n == elemB%n1%n .AND. &
-                elemA%n2%n == elemB%n3%n) THEN
-          elemA%e1 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (elemA%n1%n == elemB%n3%n .AND. &
-                elemA%n2%n == elemB%n2%n) THEN
-          elemA%e1 => elemB
-          elemB%e2 => elemA
-
-        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
-                elemA%n2%n == elemB%n1%n) THEN
-          elemA%e1 => elemB
-          elemB%e1 => elemA
-
-        END IF
-
-      END IF
-
-      !Check direction 2
-      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
-        IF     (elemA%n2%n == elemB%n1%n .AND. &
-                elemA%n3%n == elemB%n3%n) THEN
-          elemA%e2 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (elemA%n2%n == elemB%n3%n .AND. &
-                elemA%n3%n == elemB%n2%n) THEN
-          elemA%e2 => elemB
-          elemB%e2 => elemA
-
-        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
-                elemA%n3%n == elemB%n1%n) THEN
-          elemA%e2 => elemB
-          elemB%e1 => elemA
-
-        END IF
-
-      END IF
-
-      !Check direction 3
-      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF     (elemA%n3%n == elemB%n1%n .AND. &
-                elemA%n4%n == elemB%n3%n) THEN
-          elemA%e3 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (elemA%n3%n == elemB%n3%n .AND. &
-                elemA%n4%n == elemB%n2%n) THEN
-          elemA%e3 => elemB
-          elemB%e2 => elemA
-
-        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
-                elemA%n4%n == elemB%n1%n) THEN
-          elemA%e3 => elemB
-          elemB%e1 => elemA
-
-        END IF
-
-      END IF
-
-      !Check direction 4
-      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
-        IF     (elemA%n4%n == elemB%n1%n .AND. &
-                elemA%n1%n == elemB%n3%n) THEN
-          elemA%e4 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (elemA%n4%n == elemB%n3%n .AND. &
-                elemA%n1%n == elemB%n2%n) THEN
-          elemA%e4 => elemB
-          elemB%e2 => elemA
-
-        ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
-                elemA%n1%n == elemB%n1%n) THEN
-          elemA%e4 => elemB
-          elemB%e1 => elemA
-
-        END IF
-
-      END IF
-
-    END SUBROUTINE connectedQuadTria
-
-    SUBROUTINE connectedTriaTria(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemB
-
-      !Check direction 1
-      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
-        IF     (elemA%n1%n == elemB%n1%n .AND. &
-                elemA%n2%n == elemB%n3%n) THEN
-          elemA%e1 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
-                elemA%n2%n == elemB%n1%n) THEN
-          elemA%e1 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n1%n == elemB%n3%n .AND. &
-                elemA%n2%n == elemB%n2%n) THEN
-          elemA%e1 => elemB
-          elemB%e2 => elemA
-
-        END IF
-
-      END IF
-
-      !Check direction 2
-      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
-        IF     (elemA%n2%n == elemB%n1%n .AND. &
-                elemA%n3%n == elemB%n3%n) THEN
-          elemA%e2 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
-                elemA%n3%n == elemB%n1%n) THEN
-          elemA%e2 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n2%n == elemB%n3%n .AND. &
-                elemA%n3%n == elemB%n2%n) THEN
-          elemA%e2 => elemB
-          elemB%e2 => elemA
-
-        END IF
-
-
-      END IF
-
-      !Check direction 3
-      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF     (elemA%n3%n == elemB%n1%n .AND. &
-                elemA%n1%n == elemB%n3%n) THEN
-          elemA%e3 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
-                elemA%n1%n == elemB%n1%n) THEN
-          elemA%e3 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n3%n == elemB%n3%n .AND. &
-                elemA%n1%n == elemB%n2%n) THEN
-          elemA%e3 => elemB
-          elemB%e2 => elemA
-
-        END IF
-
-
-      END IF
-
-    END SUBROUTINE connectedTriaTria
-
-    SUBROUTINE connectedQuadEdge(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemA
-      CLASS(meshEdge2DCart),    INTENT(inout), TARGET:: elemB
-
-      !Check direction 1
-      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
-        IF     (elemA%n1%n == elemB%n1%n .AND. &
-                elemA%n2%n == elemB%n2%n) THEN
-          elemA%e1 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
-                elemA%n2%n == elemB%n1%n) THEN
-          elemA%e1 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
-
-        END IF
-
-      END IF
-
-      !Check direction 2
-      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
-        IF     (elemA%n2%n == elemB%n1%n .AND. &
-                elemA%n3%n == elemB%n2%n) THEN
-          elemA%e2 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
-                elemA%n3%n == elemB%n1%n) THEN
-          elemA%e2 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
-
-        END IF
-
-      END IF
-
-      !Check direction 3
-      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF     (elemA%n3%n == elemB%n1%n .AND. &
-                elemA%n4%n == elemB%n2%n) THEN
-          elemA%e3 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
-                elemA%n4%n == elemB%n1%n) THEN
-          elemA%e3 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
-
-        END IF
-
-      END IF
-
-      !Check direction 4
-      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
-        IF     (elemA%n4%n == elemB%n1%n .AND. &
-                elemA%n1%n == elemB%n2%n) THEN
-          elemA%e4 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
-                elemA%n1%n == elemB%n1%n) THEN
-          elemA%e4 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
-
-        END IF
-
-      END IF
-
-    END SUBROUTINE connectedQuadEdge
-
-    SUBROUTINE connectedTriaEdge(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemA
-      CLASS(meshEdge2DCart),    INTENT(inout), TARGET:: elemB
-
-      !Check direction 1
-      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
-        IF     (elemA%n1%n == elemB%n1%n .AND. &
-                elemA%n2%n == elemB%n2%n) THEN
-          elemA%e1 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
-                elemA%n2%n == elemB%n1%n) THEN
-          elemA%e1 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
-          
-        END IF
-
-      END IF
-
-      !Check direction 2
-      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
-        IF     (elemA%n2%n == elemB%n1%n .AND. &
-                elemA%n3%n == elemB%n2%n) THEN
-          elemA%e2 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
-                elemA%n3%n == elemB%n1%n) THEN
-          elemA%e2 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
-
-        END IF
-
-      END IF
-
-      !Check direction 3
-      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF     (elemA%n3%n == elemB%n1%n .AND. &
-                elemA%n1%n == elemB%n2%n) THEN
-          elemA%e3 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
-                elemA%n1%n == elemB%n1%n) THEN
-          elemA%e3 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
-
-        END IF
-
-      END IF
-
-    END SUBROUTINE connectedTriaEdge
-
-    SUBROUTINE constructGlobalK(K, elem)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(inout):: K(1:,1:)
-      CLASS(meshVol), INTENT(in):: elem
-      REAL(8), ALLOCATABLE:: localK(:,:)
-      INTEGER:: nNodes, i, j
-      INTEGER, ALLOCATABLE:: n(:)
-
-      SELECT TYPE(elem)
-      TYPE IS(meshVol2DCartQuad)
-        nNodes = 4
-        ALLOCATE(localK(1:nNodes,1:nNodes))
-        localK = elem%elemK()
-        ALLOCATE(n(1:nNodes))
-        n = (/ elem%n1%n, elem%n2%n, &
-               elem%n3%n, elem%n4%n /)
-
-      TYPE IS(meshVol2DCartTria)
-        nNodes = 3
-        ALLOCATE(localK(1:nNodes,1:nNodes))
-        localK = elem%elemK()
-        ALLOCATE(n(1:nNodes))
-        n = (/ elem%n1%n, elem%n2%n, elem%n3%n /)
-
-      CLASS DEFAULT
-        nNodes = 0
-        ALLOCATE(localK(1:1, 1:1))
-        localK = 0.D0
-        ALLOCATE(n(1:1))
-        n = 0
-
-      END SELECT
-      
-      DO i = 1, nNodes
-        DO j = 1, nNodes
-          K(n(i), n(j)) = K(n(i), n(j)) + localK(i, j)
-        END DO
-      END DO
-
-    END SUBROUTINE constructGlobalK
-
-END MODULE moduleMesh2DCartRead
diff --git a/src/modules/mesh/2DCyl/makefile b/src/modules/mesh/2DCyl/makefile
index ca2d7d1..e03a302 100644
--- a/src/modules/mesh/2DCyl/makefile
+++ b/src/modules/mesh/2DCyl/makefile
@@ -1,8 +1,5 @@
-all : moduleMesh2DCyl.o moduleMesh2DCylRead.o
+all : moduleMesh2DCyl.o
 
 moduleMesh2DCyl.o: moduleMesh2DCyl.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleMesh2DCylRead.o: moduleMesh2DCyl.o moduleMesh2DCylRead.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index d5a1432..362380d 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -427,18 +427,19 @@ MODULE moduleMesh2DCyl
     END FUNCTION randposVolQuad
 
     !Computes element local stiffness matrix
-    PURE FUNCTION elemKQuad(self) RESULT(ke)
+    PURE FUNCTION elemKQuad(self) RESULT(localK)
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
       CLASS(meshVol2DCylQuad), INTENT(in):: self
+      REAL(8), ALLOCATABLE:: localK(:,:)
       REAL(8):: r, xi(1:3)
       REAL(8):: fPsi(1:4), dPsi(1:2,1:4)
-      REAL(8):: ke(1:4,1:4)
       REAL(8):: invJ(1:2,1:2), detJ
       INTEGER:: l, m
 
-      ke=0.D0
+      ALLOCATE(localK(1:4, 1:4))
+      localK=0.D0
       xi=0.D0
       !Start 2D Gauss Quad Integral
       DO l=1, 3
@@ -451,13 +452,13 @@ MODULE moduleMesh2DCyl
           detJ      = self%detJac(xi,dPsi)
           invJ      = self%invJac(xi,dPsi)
           r         = DOT_PRODUCT(fPsi,self%r)
-          ke        = ke + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
+          localK    = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
                                             MATMUL(invJ,dPsi))* &
                            r*wQuad(l)*wQuad(m)/detJ
 
         END DO
       END DO
-      ke = ke*PI2
+      localK = localK*PI2
 
     END FUNCTION elemKQuad
 
@@ -800,32 +801,33 @@ MODULE moduleMesh2DCyl
     END SUBROUTINE partialDerTria
 
     !Computes element local stiffness matrix
-    PURE FUNCTION elemKTria(self) RESULT(ke)
+    PURE FUNCTION elemKTria(self) RESULT(localK)
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
       CLASS(meshVol2DCylTria), INTENT(in):: self
+      REAL(8), ALLOCATABLE:: localK(:,:)
       REAL(8):: r, xi(1:3)
       REAL(8):: fPsi(1:3), dPsi(1:2,1:3)
-      REAL(8):: ke(1:3,1:3)
       REAL(8):: invJ(1:2,1:2), detJ
       INTEGER:: l
 
-      ke=0.D0
+      ALLOCATE(localK(1:4, 1:4))
+      localK=0.D0
       xi=0.D0
       !Start 2D Gauss Quad Integral
       DO l=1, 4
-        xi(1) = xi1Tria(l)
-        xi(2) = xi2Tria(l)
-        dPsi  = self%dPsi(xi)
-        detJ  = self%detJac(xi,dPsi)
-        invJ  = self%invJac(xi,dPsi)
-        fPsi  = self%fPsi(xi)
-        r     = DOT_PRODUCT(fPsi,self%r)
-        ke    = ke + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*r*wTria(l)/detJ
+        xi(1)  = xi1Tria(l)
+        xi(2)  = xi2Tria(l)
+        dPsi   = self%dPsi(xi)
+        detJ   = self%detJac(xi,dPsi)
+        invJ   = self%invJac(xi,dPsi)
+        fPsi   = self%fPsi(xi)
+        r      = DOT_PRODUCT(fPsi,self%r)
+        localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*r*wTria(l)/detJ
 
       END DO
-      ke = ke*PI2
+      localK = localK*PI2
 
     END FUNCTION elemKTria
 
@@ -1047,4 +1049,449 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION invJ2DCyl
 
+    SUBROUTINE connectMesh2DCyl(self)
+      IMPLICIT NONE
+
+      CLASS(meshParticle), INTENT(inout):: self
+      INTEGER:: e, et
+
+      DO e = 1, self%numVols
+        !Connect Vol-Vol
+        DO et = 1, self%numVols
+          IF (e /= et) THEN
+            CALL connectVolVol(self%vols(e)%obj, self%vols(et)%obj)
+
+          END IF
+
+        END DO
+
+        !Connect Vol-Edge
+        DO et = 1, self%numEdges
+          CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+
+        END DO
+
+      END DO
+
+    END SUBROUTINE connectMesh2DCyl
+
+    !Selects type of elements to build connection
+    SUBROUTINE connectVolVol(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol), INTENT(inout):: elemA
+      CLASS(meshVol), INTENT(inout):: elemB
+
+      SELECT TYPE(elemA)
+      TYPE IS(meshVol2DCylQuad)
+        !Element A is a quadrilateral
+        SELECT TYPE(elemB)
+        TYPE IS(meshVol2DCylQuad)
+          !Element B is a quadrilateral
+          CALL connectQuadQuad(elemA, elemB)
+
+        TYPE IS(meshVol2DCylTria)
+          !Element B is a triangle
+          CALL connectQuadTria(elemA, elemB)
+
+        END SELECT
+
+      TYPE IS(meshVol2DCylTria)
+        !Element A is a Triangle
+        SELECT TYPE(elemB)
+        TYPE IS(meshVol2DCylQuad)
+          !Element B is a quadrilateral
+          CALL connectQuadTria(elemB, elemA)
+
+        TYPE IS(meshVol2DCylTria)
+          !Element B is a triangle
+          CALL connectTriaTria(elemA, elemB)
+
+        END SELECT
+
+      END SELECT
+
+    END SUBROUTINE connectVolVol
+
+    SUBROUTINE connectVolEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol),  INTENT(inout):: elemA
+      CLASS(meshEdge), INTENT(inout):: elemB
+
+      SELECT TYPE(elemB)
+      CLASS IS(meshEdge2DCyl)
+        SELECT TYPE(elemA)
+        TYPE IS(meshVol2DCylQuad)
+          !Element A is a quadrilateral
+          CALL connectQuadEdge(elemA, elemB)
+
+        TYPE IS(meshVol2DCylTria)
+          !Element A is a triangle
+          CALL connectTriaEdge(elemA, elemB)
+
+        END SELECT
+
+      END SELECT
+
+    END SUBROUTINE connectVolEdge
+
+    SUBROUTINE connectQuadQuad(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
+          elemA%n1%n == elemB%n4%n   .AND. &
+          elemA%n2%n == elemB%n3%n) THEN
+        elemA%e1 => elemB
+        elemB%e3 => elemA
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
+          elemA%n2%n == elemB%n1%n   .AND. &
+          elemA%n3%n == elemB%n4%n) THEN
+        elemA%e2 => elemB
+        elemB%e4 => elemA
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3) .AND. &
+          elemA%n3%n == elemB%n2%n   .AND. &
+          elemA%n4%n == elemB%n1%n) THEN
+        elemA%e3 => elemB
+        elemB%e1 => elemA
+
+      END IF
+
+      !Check direction 4
+      IF (.NOT. ASSOCIATED(elemA%e4) .AND. &
+          elemA%n4%n == elemB%n3%n   .AND. &
+          elemA%n1%n == elemB%n2%n) THEN
+        elemA%e4 => elemB
+        elemB%e2 => elemA
+
+      END IF
+
+    END SUBROUTINE connectQuadQuad
+
+    SUBROUTINE connectQuadTria(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (elemA%n1%n == elemB%n1%n .AND. &
+                elemA%n2%n == elemB%n3%n) THEN
+          elemA%e1 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n3%n .AND. &
+                elemA%n2%n == elemB%n2%n) THEN
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
+                elemA%n2%n == elemB%n1%n) THEN
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (elemA%n2%n == elemB%n1%n .AND. &
+                elemA%n3%n == elemB%n3%n) THEN
+          elemA%e2 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n3%n .AND. &
+                elemA%n3%n == elemB%n2%n) THEN
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
+                elemA%n3%n == elemB%n1%n) THEN
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (elemA%n3%n == elemB%n1%n .AND. &
+                elemA%n4%n == elemB%n3%n) THEN
+          elemA%e3 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n3%n .AND. &
+                elemA%n4%n == elemB%n2%n) THEN
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
+                elemA%n4%n == elemB%n1%n) THEN
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 4
+      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
+        IF     (elemA%n4%n == elemB%n1%n .AND. &
+                elemA%n1%n == elemB%n3%n) THEN
+          elemA%e4 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n3%n .AND. &
+                elemA%n1%n == elemB%n2%n) THEN
+          elemA%e4 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
+                elemA%n1%n == elemB%n1%n) THEN
+          elemA%e4 => elemB
+          elemB%e1 => elemA
+
+        END IF
+
+      END IF
+
+    END SUBROUTINE connectQuadTria
+
+    SUBROUTINE connectTriaTria(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (elemA%n1%n == elemB%n1%n .AND. &
+                elemA%n2%n == elemB%n3%n) THEN
+          elemA%e1 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
+                elemA%n2%n == elemB%n1%n) THEN
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n3%n .AND. &
+                elemA%n2%n == elemB%n2%n) THEN
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+        END IF
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (elemA%n2%n == elemB%n1%n .AND. &
+                elemA%n3%n == elemB%n3%n) THEN
+          elemA%e2 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
+                elemA%n3%n == elemB%n1%n) THEN
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n3%n .AND. &
+                elemA%n3%n == elemB%n2%n) THEN
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+        END IF
+
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (elemA%n3%n == elemB%n1%n .AND. &
+                elemA%n1%n == elemB%n3%n) THEN
+          elemA%e3 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
+                elemA%n1%n == elemB%n1%n) THEN
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n3%n .AND. &
+                elemA%n1%n == elemB%n2%n) THEN
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+        END IF
+
+
+      END IF
+
+    END SUBROUTINE connectTriaTria
+
+    SUBROUTINE connectQuadEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshEdge2DCyl),    INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (elemA%n1%n == elemB%n1%n .AND. &
+                elemA%n2%n == elemB%n2%n) THEN
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
+                elemA%n2%n == elemB%n1%n) THEN
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
+        END IF
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (elemA%n2%n == elemB%n1%n .AND. &
+                elemA%n3%n == elemB%n2%n) THEN
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
+                elemA%n3%n == elemB%n1%n) THEN
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
+        END IF
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (elemA%n3%n == elemB%n1%n .AND. &
+                elemA%n4%n == elemB%n2%n) THEN
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
+                elemA%n4%n == elemB%n1%n) THEN
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
+        END IF
+
+      END IF
+
+      !Check direction 4
+      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
+        IF     (elemA%n4%n == elemB%n1%n .AND. &
+                elemA%n1%n == elemB%n2%n) THEN
+          elemA%e4 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
+                elemA%n1%n == elemB%n1%n) THEN
+          elemA%e4 => elemB
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
+        END IF
+
+      END IF
+
+    END SUBROUTINE connectQuadEdge
+
+    SUBROUTINE connectTriaEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemA
+      CLASS(meshEdge2DCyl),    INTENT(inout), TARGET:: elemB
+
+      !Check direction 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (elemA%n1%n == elemB%n1%n .AND. &
+                elemA%n2%n == elemB%n2%n) THEN
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
+                elemA%n2%n == elemB%n1%n) THEN
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
+        END IF
+
+      END IF
+
+      !Check direction 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (elemA%n2%n == elemB%n1%n .AND. &
+                elemA%n3%n == elemB%n2%n) THEN
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
+                elemA%n3%n == elemB%n1%n) THEN
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
+        END IF
+
+      END IF
+
+      !Check direction 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (elemA%n3%n == elemB%n1%n .AND. &
+                elemA%n1%n == elemB%n2%n) THEN
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
+                elemA%n1%n == elemB%n1%n) THEN
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+          !Revers the normal to point inside the domain
+          elemB%normal = - elemB%normal
+
+        END IF
+
+      END IF
+
+    END SUBROUTINE connectTriaEdge
+
 END MODULE moduleMesh2DCyl
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90
deleted file mode 100644
index cbe3faf..0000000
--- a/src/modules/mesh/2DCyl/moduleMesh2DCylRead.f90
+++ /dev/null
@@ -1,643 +0,0 @@
-MODULE moduleMesh2DCylRead
-  USE moduleMesh
-  USE moduleMesh2DCyl
-
-  TYPE, EXTENDS(meshGeneric):: mesh2DCylGeneric
-    CONTAINS
-      PROCEDURE, PASS:: init     => init2DCylMesh
-      PROCEDURE, PASS:: readMesh => readMesh2DCylGmsh
-
-  END TYPE
-
-  INTERFACE connected
-    MODULE PROCEDURE connectedVolVol, connectedVolEdge
-
-  END INTERFACE connected
-
-  CONTAINS
-    !Init mesh
-    SUBROUTINE init2DCylMesh(self, meshFormat)
-      USE moduleMesh
-      USE moduleErrors
-      IMPLICIT NONE
-
-      CLASS(mesh2DCylGeneric), INTENT(out):: self
-      CHARACTER(:), ALLOCATABLE, INTENT(in):: meshFormat
-
-      SELECT CASE(meshFormat)
-      CASE ("gmsh")
-        self%printOutput => printOutputGmsh
-        self%printColl   => printCollGmsh
-        self%printEM     => printEMGmsh
-
-      CASE DEFAULT
-        CALL criticalError("Mesh type " // meshFormat // " not supported.", "init2DCylMesh")
-        
-      END SELECT
-
-    END SUBROUTINE init2DCylMesh
-
-    !Read mesh from gmsh file
-    SUBROUTINE readMesh2DCylGmsh(self, filename)
-      USE moduleBoundary
-      IMPLICIT NONE
-
-      CLASS(mesh2DCylGeneric), INTENT(inout):: self
-      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
-      REAL(8):: r, z
-      INTEGER:: p(1:4)
-      INTEGER:: e=0, et=0, n=0, eTemp=0, elemType=0, bt = 0
-      INTEGER:: totalNumElem
-      INTEGER:: boundaryType
-
-      !Read msh
-      OPEN(10, FILE=TRIM(filename))
-      !Skip header
-      READ(10, *)
-      READ(10, *)
-      READ(10, *)
-      READ(10, *)
-      !Read number of nodes
-      READ(10, *) self%numNodes
-      !Allocate required matrices and vectors
-      ALLOCATE(self%nodes(1:self%numNodes))
-      ALLOCATE(self%K(1:self%numNodes,1:self%numNodes))
-      ALLOCATE(self%IPIV(1:self%numNodes,1:self%numNodes))
-      self%K = 0.D0
-      self%IPIV = 0
-      !Read nodes cartesian coordinates (x=z, y=r, z=null)
-      DO e=1, self%numNodes
-        READ(10, *) n, z, r
-        ALLOCATE(meshNode2DCyl:: self%nodes(n)%obj)
-        CALL self%nodes(n)%obj%init(n, (/z, r, 0.D0 /))
-
-      END DO
-      !Skips comments
-      READ(10, *)
-      READ(10, *)
-      !Reads Totalnumber of elements
-      READ(10, *) TotalnumElem
-      !counts edges and volume elements
-      self%numEdges = 0
-      DO e=1, TotalnumElem
-        READ(10,*) eTemp, elemType
-        IF (elemType==1) THEN
-          self%numEdges=e
-        END IF
-      END DO
-      !Substract the number of edges to the total number of elements
-      !to obtain the number of volume elements
-      self%numVols = TotalnumElem - self%numEdges
-      !Allocates arrays
-      ALLOCATE(self%edges(1:self%numEdges))
-      ALLOCATE(self%vols(1:self%numVols))
-
-      !Go back to the beggining to read elements
-      DO e=1, totalNumElem
-        BACKSPACE(10)
-      END DO
-
-      !Reads edges
-      DO e=1, self%numEdges
-        READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
-        !Associate boundary condition procedure.
-        bt = getBoundaryId(boundaryType)
-
-        ALLOCATE(meshEdge2DCyl:: self%edges(e)%obj)
-
-        CALL self%edges(e)%obj%init(n, p(1:2), bt, boundaryType)
-
-      END DO
-
-      !Read and initialize volumes
-      DO e=1, self%numVols
-        READ(10,*) n, elemType
-        BACKSPACE(10)
-
-        SELECT CASE(elemType)
-        CASE (2)
-          !Triangular element
-          READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:3)
-          ALLOCATE(meshVol2DCylTria:: self%vols(e)%obj)
-          CALL self%vols(e)%obj%init(n - self%numEdges, p(1:3))
-
-        CASE (3)
-          !Quadrilateral element
-          READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:4)
-          ALLOCATE(meshVol2DCylQuad:: self%vols(e)%obj)
-          CALL self%vols(e)%obj%init(n - self%numEdges, p(1:4))
-
-        END SELECT
-
-      END DO
-
-      CLOSE(10)
-
-      !Build connectivity between elements
-      DO e = 1, self%numVols
-        !Connectivity between volumes
-        DO et = 1, self%numVols
-          IF (e /= et) THEN
-            CALL connected(self%vols(e)%obj, self%vols(et)%obj)
-
-          END IF
-        END DO
-
-        !Connectivity between vols and edges
-        DO et = 1, self%numEdges
-          CALL connected(self%vols(e)%obj, self%edges(et)%obj)
-
-        END DO
-
-        !Constructs the global K matrix
-        CALL constructGlobalK(self%K, self%vols(e)%obj)
-
-      END DO
-
-    END SUBROUTINE readMesh2DCylGmsh
-
-    !Selects type of elements to build connection
-    SUBROUTINE connectedVolVol(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol), INTENT(inout):: elemA
-      CLASS(meshVol), INTENT(inout):: elemB
-
-      SELECT TYPE(elemA)
-      TYPE IS(meshVol2DCylQuad)
-        !Element A is a quadrilateral
-        SELECT TYPE(elemB)
-        TYPE IS(meshVol2DCylQuad)
-          !Element B is a quadrilateral
-          CALL connectedQuadQuad(elemA, elemB)
-
-        TYPE IS(meshVol2DCylTria)
-          !Element B is a triangle
-          CALL connectedQuadTria(elemA, elemB)
-
-        END SELECT
-
-      TYPE IS(meshVol2DCylTria)
-        !Element A is a Triangle
-        SELECT TYPE(elemB)
-        TYPE IS(meshVol2DCylQuad)
-          !Element B is a quadrilateral
-          CALL connectedQuadTria(elemB, elemA)
-
-        TYPE IS(meshVol2DCylTria)
-          !Element B is a triangle
-          CALL connectedTriaTria(elemA, elemB)
-
-        END SELECT
-
-      END SELECT
-
-    END SUBROUTINE connectedVolVol
-
-    SUBROUTINE connectedVolEdge(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol),  INTENT(inout):: elemA
-      CLASS(meshEdge), INTENT(inout):: elemB
-
-      SELECT TYPE(elemB)
-      CLASS IS(meshEdge2DCyl)
-        SELECT TYPE(elemA)
-        TYPE IS(meshVol2DCylQuad)
-          !Element A is a quadrilateral
-          CALL connectedQuadEdge(elemA, elemB)
-
-        TYPE IS(meshVol2DCylTria)
-          !Element A is a triangle
-          CALL connectedTriaEdge(elemA, elemB)
-
-        END SELECT
-
-      END SELECT
-
-    END SUBROUTINE connectedVolEdge
-
-    PURE FUNCTION coincidentNodes(nodesA, nodesB) RESULT(coincident)
-      IMPLICIT NONE
-
-      INTEGER, DIMENSION(1:2), INTENT(in):: nodesA, nodesB
-      LOGICAL:: coincident
-      INTEGER:: i
-
-      coincident = .FALSE.
-      DO i = 1, 2
-        IF (ANY(nodesA(i) == nodesB)) THEN
-          coincident = .TRUE.
-
-        ELSE
-          coincident = .FALSE.
-          EXIT
-
-        END IF
-
-      END DO
-
-    END FUNCTION coincidentNodes
-
-
-    SUBROUTINE connectedQuadQuad(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemB
-
-      !Check direction 1
-      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
-          elemA%n1%n == elemB%n4%n   .AND. &
-          elemA%n2%n == elemB%n3%n) THEN
-        elemA%e1 => elemB
-        elemB%e3 => elemA
-
-      END IF
-
-      !Check direction 2
-      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
-          elemA%n2%n == elemB%n1%n   .AND. &
-          elemA%n3%n == elemB%n4%n) THEN
-        elemA%e2 => elemB
-        elemB%e4 => elemA
-
-      END IF
-
-      !Check direction 3
-      IF (.NOT. ASSOCIATED(elemA%e3) .AND. &
-          elemA%n3%n == elemB%n2%n   .AND. &
-          elemA%n4%n == elemB%n1%n) THEN
-        elemA%e3 => elemB
-        elemB%e1 => elemA
-
-      END IF
-
-      !Check direction 4
-      IF (.NOT. ASSOCIATED(elemA%e4) .AND. &
-          elemA%n4%n == elemB%n3%n   .AND. &
-          elemA%n1%n == elemB%n2%n) THEN
-        elemA%e4 => elemB
-        elemB%e2 => elemA
-
-      END IF
-
-    END SUBROUTINE connectedQuadQuad
-
-    SUBROUTINE connectedQuadTria(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemB
-
-      !Check direction 1
-      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
-        IF     (elemA%n1%n == elemB%n1%n .AND. &
-                elemA%n2%n == elemB%n3%n) THEN
-          elemA%e1 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (elemA%n1%n == elemB%n3%n .AND. &
-                elemA%n2%n == elemB%n2%n) THEN
-          elemA%e1 => elemB
-          elemB%e2 => elemA
-
-        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
-                elemA%n2%n == elemB%n1%n) THEN
-          elemA%e1 => elemB
-          elemB%e1 => elemA
-
-        END IF
-
-      END IF
-
-      !Check direction 2
-      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
-        IF     (elemA%n2%n == elemB%n1%n .AND. &
-                elemA%n3%n == elemB%n3%n) THEN
-          elemA%e2 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (elemA%n2%n == elemB%n3%n .AND. &
-                elemA%n3%n == elemB%n2%n) THEN
-          elemA%e2 => elemB
-          elemB%e2 => elemA
-
-        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
-                elemA%n3%n == elemB%n1%n) THEN
-          elemA%e2 => elemB
-          elemB%e1 => elemA
-
-        END IF
-
-      END IF
-
-      !Check direction 3
-      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF     (elemA%n3%n == elemB%n1%n .AND. &
-                elemA%n4%n == elemB%n3%n) THEN
-          elemA%e3 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (elemA%n3%n == elemB%n3%n .AND. &
-                elemA%n4%n == elemB%n2%n) THEN
-          elemA%e3 => elemB
-          elemB%e2 => elemA
-
-        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
-                elemA%n4%n == elemB%n1%n) THEN
-          elemA%e3 => elemB
-          elemB%e1 => elemA
-
-        END IF
-
-      END IF
-
-      !Check direction 4
-      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
-        IF     (elemA%n4%n == elemB%n1%n .AND. &
-                elemA%n1%n == elemB%n3%n) THEN
-          elemA%e4 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (elemA%n4%n == elemB%n3%n .AND. &
-                elemA%n1%n == elemB%n2%n) THEN
-          elemA%e4 => elemB
-          elemB%e2 => elemA
-
-        ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
-                elemA%n1%n == elemB%n1%n) THEN
-          elemA%e4 => elemB
-          elemB%e1 => elemA
-
-        END IF
-
-      END IF
-
-    END SUBROUTINE connectedQuadTria
-
-    SUBROUTINE connectedTriaTria(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemB
-
-      !Check direction 1
-      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
-        IF     (elemA%n1%n == elemB%n1%n .AND. &
-                elemA%n2%n == elemB%n3%n) THEN
-          elemA%e1 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
-                elemA%n2%n == elemB%n1%n) THEN
-          elemA%e1 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n1%n == elemB%n3%n .AND. &
-                elemA%n2%n == elemB%n2%n) THEN
-          elemA%e1 => elemB
-          elemB%e2 => elemA
-
-        END IF
-
-      END IF
-
-      !Check direction 2
-      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
-        IF     (elemA%n2%n == elemB%n1%n .AND. &
-                elemA%n3%n == elemB%n3%n) THEN
-          elemA%e2 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
-                elemA%n3%n == elemB%n1%n) THEN
-          elemA%e2 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n2%n == elemB%n3%n .AND. &
-                elemA%n3%n == elemB%n2%n) THEN
-          elemA%e2 => elemB
-          elemB%e2 => elemA
-
-        END IF
-
-
-      END IF
-
-      !Check direction 3
-      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF     (elemA%n3%n == elemB%n1%n .AND. &
-                elemA%n1%n == elemB%n3%n) THEN
-          elemA%e3 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
-                elemA%n1%n == elemB%n1%n) THEN
-          elemA%e3 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n3%n == elemB%n3%n .AND. &
-                elemA%n1%n == elemB%n2%n) THEN
-          elemA%e3 => elemB
-          elemB%e2 => elemA
-
-        END IF
-
-
-      END IF
-
-    END SUBROUTINE connectedTriaTria
-
-    SUBROUTINE connectedQuadEdge(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemA
-      CLASS(meshEdge2DCyl),    INTENT(inout), TARGET:: elemB
-
-      !Check direction 1
-      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
-        IF     (elemA%n1%n == elemB%n1%n .AND. &
-                elemA%n2%n == elemB%n2%n) THEN
-          elemA%e1 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
-                elemA%n2%n == elemB%n1%n) THEN
-          elemA%e1 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
-
-        END IF
-
-      END IF
-
-      !Check direction 2
-      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
-        IF     (elemA%n2%n == elemB%n1%n .AND. &
-                elemA%n3%n == elemB%n2%n) THEN
-          elemA%e2 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
-                elemA%n3%n == elemB%n1%n) THEN
-          elemA%e2 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
-
-        END IF
-
-      END IF
-
-      !Check direction 3
-      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF     (elemA%n3%n == elemB%n1%n .AND. &
-                elemA%n4%n == elemB%n2%n) THEN
-          elemA%e3 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
-                elemA%n4%n == elemB%n1%n) THEN
-          elemA%e3 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
-
-        END IF
-
-      END IF
-
-      !Check direction 4
-      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
-        IF     (elemA%n4%n == elemB%n1%n .AND. &
-                elemA%n1%n == elemB%n2%n) THEN
-          elemA%e4 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
-                elemA%n1%n == elemB%n1%n) THEN
-          elemA%e4 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
-
-        END IF
-
-      END IF
-
-    END SUBROUTINE connectedQuadEdge
-
-    SUBROUTINE connectedTriaEdge(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemA
-      CLASS(meshEdge2DCyl),    INTENT(inout), TARGET:: elemB
-
-      !Check direction 1
-      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
-        IF     (elemA%n1%n == elemB%n1%n .AND. &
-                elemA%n2%n == elemB%n2%n) THEN
-          elemA%e1 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
-                elemA%n2%n == elemB%n1%n) THEN
-          elemA%e1 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
-
-        END IF
-
-      END IF
-
-      !Check direction 2
-      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
-        IF     (elemA%n2%n == elemB%n1%n .AND. &
-                elemA%n3%n == elemB%n2%n) THEN
-          elemA%e2 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
-                elemA%n3%n == elemB%n1%n) THEN
-          elemA%e2 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
-
-        END IF
-
-      END IF
-
-      !Check direction 3
-      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF     (elemA%n3%n == elemB%n1%n .AND. &
-                elemA%n1%n == elemB%n2%n) THEN
-          elemA%e3 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (elemA%n3%n == elemB%n2%n .AND. &
-                elemA%n1%n == elemB%n1%n) THEN
-          elemA%e3 => elemB
-          elemB%e2 => elemA
-
-          !Revers the normal to point inside the domain
-          elemB%normal = - elemB%normal
-
-        END IF
-
-      END IF
-
-    END SUBROUTINE connectedTriaEdge
-
-    SUBROUTINE constructGlobalK(K, elem)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(inout):: K(1:,1:)
-      CLASS(meshVol), INTENT(in):: elem
-      REAL(8), ALLOCATABLE:: localK(:,:)
-      INTEGER:: nNodes, i, j
-      INTEGER, ALLOCATABLE:: n(:)
-
-      SELECT TYPE(elem)
-      TYPE IS(meshVol2DCylQuad)
-        nNodes = 4
-        ALLOCATE(localK(1:nNodes,1:nNodes))
-        localK = elem%elemK()
-        ALLOCATE(n(1:nNodes))
-        n = (/ elem%n1%n, elem%n2%n, &
-               elem%n3%n, elem%n4%n /)
-
-      TYPE IS(meshVol2DCylTria)
-        nNodes = 3
-        ALLOCATE(localK(1:nNodes,1:nNodes))
-        localK = elem%elemK()
-        ALLOCATE(n(1:nNodes))
-        n = (/ elem%n1%n, elem%n2%n, elem%n3%n /)
-
-      CLASS DEFAULT
-        nNodes = 0
-        ALLOCATE(localK(1:1, 1:1))
-        localK = 0.D0
-        ALLOCATE(n(1:1))
-        n = 0
-
-      END SELECT
-      
-      DO i = 1, nNodes
-        DO j = 1, nNodes
-          K(n(i), n(j)) = K(n(i), n(j)) + localK(i, j)
-        END DO
-      END DO
-
-    END SUBROUTINE constructGlobalK
-
-END MODULE moduleMesh2DCylRead
diff --git a/src/modules/mesh/3DCart/makefile b/src/modules/mesh/3DCart/makefile
index 0c77a10..0f23c79 100644
--- a/src/modules/mesh/3DCart/makefile
+++ b/src/modules/mesh/3DCart/makefile
@@ -1,8 +1,5 @@
-all : moduleMesh3DCart.o moduleMesh3DCartRead.o
+all : moduleMesh3DCart.o
 
 moduleMesh3DCart.o: moduleMesh3DCart.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleMesh3DCartRead.o: moduleMesh3DCart.o moduleMesh3DCartRead.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 494459a..3e3b970 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -417,23 +417,25 @@ MODULE moduleMesh3DCart
 
     END SUBROUTINE partialDerTetra
 
-    PURE FUNCTION elemKTetra(self) RESULT(ke)
+    PURE FUNCTION elemKTetra(self) RESULT(localK)
       IMPLICIT NONE
 
       CLASS(meshVol3DCartTetra), INTENT(in):: self
+      REAL(8), ALLOCATABLE:: localK(:,:)
       REAL(8):: xii(1:3)
       REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
-      REAL(8):: ke(1:4,1:4)
       REAL(8):: invJ(1:3,1:3), detJ
 
+      ALLOCATE(localK(1:4,1:4))
+      localK = 0.D0
+      xii    = 0.D0
       !TODO: One point Gauss integral. Upgrade when possible
-      ke = 0.D0
-      xii = (/ 0.25D0, 0.25D0, 0.25D0 /)
-      dPsi = self%dPsi(xii)
-      detJ = self%detJac(xii, dPsi)
-      invJ = self%invJac(xii, dPsi)
-      fPsi = self%fPsi(xii)
-      ke   = ke + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*1.D0/detJ
+      xii    = (/ 0.25D0, 0.25D0, 0.25D0 /)
+      dPsi   = self%dPsi(xii)
+      detJ   = self%detJac(xii, dPsi)
+      invJ   = self%invJac(xii, dPsi)
+      fPsi   = self%fPsi(xii)
+      localK = MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*1.D0/detJ
 
     END FUNCTION elemKTetra
 
@@ -456,7 +458,7 @@ MODULE moduleMesh3DCart
       detJ = self%detJac(xii, dPsi)
       fPsi = self%fPsi(xii)
       f    = DOT_PRODUCT(fPsi, source)
-      localF = localF + f*fPsi*1.D0*detJ
+      localF = f*fPsi*1.D0*detJ
 
     END FUNCTION elemFTetra
 
@@ -662,5 +664,369 @@ MODULE moduleMesh3DCart
 
     END FUNCTION invJ3DCart
 
+    !Selects type of elements to build connection
+    SUBROUTINE connectVolVol(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol), INTENT(inout):: elemA
+      CLASS(meshVol), INTENT(inout):: elemB
+
+      SELECT TYPE(elemA)
+      TYPE IS(meshVol3DCartTetra)
+        !Element A is a tetrahedron
+        SELECT TYPE(elemB)
+        TYPE IS(meshVol3DCartTetra)
+          !Element B is a tetrahedron
+          CALL connectTetraTetra(elemA, elemB)
+
+        END SELECT
+
+      END SELECT
+
+    END SUBROUTINE connectVolVol
+
+    SUBROUTINE connectVolEdge(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol),  INTENT(inout):: elemA
+      CLASS(meshEdge), INTENT(inout):: elemB
+
+      SELECT TYPE(elemB)
+      CLASS IS(meshEdge3DCartTria)
+        SELECT TYPE(elemA)
+        TYPE IS(meshVol3DCartTetra)
+          !Element A is a tetrahedron
+          CALL connectTetraEdge(elemA, elemB)
+
+        END SELECT
+
+      END SELECT
+
+    END SUBROUTINE connectVolEdge
+
+    SUBROUTINE connectMesh3DCart(self)
+      IMPLICIT NONE
+
+      CLASS(meshParticle), INTENT(inout):: self
+      INTEGER:: e, et
+
+      DO e = 1, self%numVols
+        !Connect Vol-Vol
+        DO et = 1, self%numVols
+          IF (e /= et) THEN
+            CALL connectVolVol(self%vols(e)%obj, self%vols(et)%obj)
+
+          END IF
+
+        END DO
+
+        !Connect Vol-Edge
+        DO et = 1, self%numEdges
+          CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+
+        END DO
+
+      END DO
+
+    END SUBROUTINE connectMesh3DCart
+
+    !Checks if two sets of nodes are coincidend in any order
+    PURE FUNCTION coincidentNodes(nodesA, nodesB) RESULT(coincident)
+      IMPLICIT NONE
+
+      INTEGER, DIMENSION(1:3), INTENT(in):: nodesA, nodesB
+      LOGICAL:: coincident
+      INTEGER:: i
+
+      coincident = .FALSE.
+      DO i = 1, 3
+        IF (ANY(nodesA(i) == nodesB)) THEN
+          coincident = .TRUE.
+
+        ELSE
+          coincident = .FALSE.
+          EXIT
+
+        END IF
+
+      END DO
+
+    END FUNCTION coincidentNodes
+
+    SUBROUTINE connectTetraTetra(elemA, elemB)
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemA
+      CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemB
+
+      !Check surface 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
+
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
+                                (/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
+
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
+
+          elemA%e1 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
+                                (/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
+
+          elemA%e1 => elemB
+          elemB%e4 => elemA
+
+        END IF
+
+      END IF
+
+      !Check surface 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
+
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
+
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
+
+          elemA%e2 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
+
+          elemA%e2 => elemB
+          elemB%e4 => elemA
+
+        END IF
+
+      END IF
+
+      !Check surface 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
+
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
+                                (/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
+
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
+
+          elemA%e3 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
+
+          elemA%e3 => elemB
+          elemB%e4 => elemA
+
+        END IF
+
+      END IF
+
+      !Check surface 4
+      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
+        IF     (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
+
+          elemA%e4 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
+
+          elemA%e4 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
+
+          elemA%e4 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
+                                (/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
+
+          elemA%e4 => elemB
+          elemB%e4 => elemA
+
+        END IF
+
+      END IF
+
+    END SUBROUTINE connectTetraTetra
+
+    SUBROUTINE connectTetraEdge(elemA, elemB)
+      USE moduleMath
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemA
+      CLASS(meshEdge3DCartTria), INTENT(inout), TARGET:: elemB
+      INTEGER:: nodesEdge(1:3)
+      REAL(8), DIMENSION(1:3):: vec1, vec2
+      REAL(8):: normVol(1:3)
+
+      nodesEdge = (/ elemB%n1%n, elemB%n2%n, elemB%n3%n /)
+
+      !Check surface 1
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elema%n3%n/), &
+                              nodesEdge)) THEN
+
+          vec1 = (/ elemA%x(2) - elemA%x(1), &
+                    elemA%y(2) - elemA%y(1), &
+                    elemA%z(2) - elemA%z(1) /)
+          vec2 = (/ elemA%x(3) - elemA%x(1), &
+                    elemA%y(3) - elemA%y(1), &
+                    elemA%z(3) - elemA%z(1) /)
+          normVol = crossProduct(vec1, vec2)
+          normVol = normalize(normVol)
+
+          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
+
+            elemA%e1 => elemB
+            elemB%e1 => elemA
+
+          ELSE
+
+            elemA%e1 => elemB
+            elemB%e2 => elemA
+
+            !Revers the normal to point inside the domain
+            elemB%normal = -elemB%normal
+
+          END IF
+
+        END IF
+
+      END IF
+
+      !Check surface 2
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
+                              nodesEdge)) THEN
+
+          vec1 = (/ elemA%x(3) - elemA%x(2), &
+                    elemA%y(3) - elemA%y(2), &
+                    elemA%z(3) - elemA%z(2) /)
+          vec2 = (/ elemA%x(4) - elemA%x(2), &
+                    elemA%y(4) - elemA%y(2), &
+                    elemA%z(4) - elemA%z(2) /)
+          normVol = crossProduct(vec1, vec2)
+          normVol = normalize(normVol)
+
+          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
+
+            elemA%e2 => elemB
+            elemB%e1 => elemA
+
+          ELSE
+
+            elemA%e2 => elemB
+            elemB%e2 => elemA
+
+            !Revers the normal to point inside the domain
+            elemB%normal = -elemB%normal
+
+          END IF
+
+        END IF
+
+      END IF
+
+      !Check surface 3
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elema%n4%n/), &
+                              nodesEdge)) THEN
+
+          vec1 = (/ elemA%x(2) - elemA%x(1), &
+                    elemA%y(2) - elemA%y(1), &
+                    elemA%z(2) - elemA%z(1) /)
+          vec2 = (/ elemA%x(4) - elemA%x(1), &
+                    elemA%y(4) - elemA%y(1), &
+                    elemA%z(4) - elemA%z(1) /)
+          normVol = crossProduct(vec1, vec2)
+          normVol = normalize(normVol)
+
+          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
+
+            elemA%e3 => elemB
+            elemB%e1 => elemA
+
+          ELSE
+
+            elemA%e3 => elemB
+            elemB%e2 => elemA
+
+            !Revers the normal to point inside the domain
+            elemB%normal = -elemB%normal
+
+          END IF
+
+        END IF
+
+      END IF
+
+      !Check surface 4
+      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
+        IF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elema%n4%n/), &
+                              nodesEdge)) THEN
+
+          vec1 = (/ elemA%x(3) - elemA%x(1), &
+                    elemA%y(3) - elemA%y(1), &
+                    elemA%z(3) - elemA%z(1) /)
+          vec2 = (/ elemA%x(4) - elemA%x(1), &
+                    elemA%y(4) - elemA%y(1), &
+                    elemA%z(4) - elemA%z(1) /)
+          normVol = crossProduct(vec1, vec2)
+          normVol = normalize(normVol)
+
+          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
+
+            elemA%e4 => elemB
+            elemB%e1 => elemA
+
+
+          ELSE
+
+            elemA%e4 => elemB
+            elemB%e2 => elemA
+
+            !Revers the normal to point inside the domain
+            elemB%normal = -elemB%normal
+
+          END IF
+
+        END IF
+
+      END IF
+
+    END SUBROUTINE connectTetraEdge
+
 END MODULE moduleMesh3DCart
 
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90 b/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
deleted file mode 100644
index 01aef8e..0000000
--- a/src/modules/mesh/3DCart/moduleMesh3DCartRead.f90
+++ /dev/null
@@ -1,544 +0,0 @@
-MODULE moduleMesh3DCartRead
-  USE moduleMesh
-  USE moduleMesh3DCart
-
-  TYPE, EXTENDS(meshGeneric):: mesh3DCartGeneric
-    CONTAINS
-      PROCEDURE, PASS:: init     => init3DCartMesh
-      PROCEDURE, PASS:: readMesh => readMesh3DCartGmsh
-
-  END TYPE
-
-  INTERFACE connected
-    MODULE PROCEDURE connectedVolVol, connectedVolEdge
-
-  END INTERFACE connected
-
-  CONTAINS
-    !Init mesh
-    SUBROUTINE init3DCartMesh(self, meshFormat)
-      USE moduleMesh
-      USE moduleErrors
-      IMPLICIT NONE
-
-      CLASS(mesh3DCartGeneric), INTENT(out):: self
-      CHARACTER(:), ALLOCATABLE, INTENT(in):: meshFormat
-
-      SELECT CASE(meshFormat)
-      CASE ("gmsh")
-        self%printOutput => printOutputGmsh
-        self%printColl   => printCollGmsh
-        self%printEM     => printEMGmsh
-
-      CASE DEFAULT
-        CALL criticalError("Mesh type " // meshFormat // " not supported.", "init3DCartMesh")
-
-      END SELECT
-
-    END SUBROUTINE init3DCartMesh
-
-    !Read mesh from gmsh file
-    SUBROUTINE readMesh3DCartGmsh(self, filename)
-      USE moduleBoundary
-      IMPLICIT NONE
-
-      CLASS(mesh3DCartGeneric), INTENT(inout):: self
-      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
-      REAL(8):: x, y, z
-      INTEGER:: p(1:4)
-      INTEGER:: e = 0, et = 0, n = 0, eTemp = 0, elemType = 0, bt = 0
-      INTEGER:: totalNumElem
-      INTEGER:: boundaryType
-
-      !Read mesh
-      OPEN(10, FILE=TRIM(filename))
-      !Skip header
-      READ(10, *)
-      READ(10, *)
-      READ(10, *)
-      READ(10, *)
-      !Read number of nodes
-      READ(10, *) self%numNodes
-      !Allocate required matrices and vectors
-      ALLOCATE(self%nodes(1:self%numNodes))
-      ALLOCATE(self%K(1:self%numNodes, 1:self%numNodes))
-      ALLOCATE(self%IPIV(1:self%numNodes, 1:self%numNodes))
-      self%K = 0.D0
-      self%IPIV = 0
-
-      !Read node cartesian coordinates (x = x, y = y, z = z)
-      DO e = 1, self%numNodes
-        READ(10, *) n, x, y, z
-        ALLOCATE(meshNode3Dcart::self%nodes(n)%obj)
-        CALL self%nodes(n)%obj%init(n, (/x, y, z /))
-
-      END DO
-
-      !Skip comments
-      READ(10, *)
-      READ(10, *)
-
-      !Reads total number of elements
-      READ(10, *) totalNumElem
-      !conts edges and volume elements
-      self%numEdges = 0
-      DO e = 1, totalNumElem
-        READ(10, *) eTemp, elemType
-        IF (elemType == 2) THEN
-          self%numEdges = e
-
-        END IF
-
-      END DO
-
-      !Substract the number of edges to the total number of elements to obtain the number
-      !of volume elements
-      self%numVols = totalNumElem - self%numEdges
-
-      !Allocate required arrays
-      ALLOCATE(self%edges(1:self%numEdges))
-      ALLOCATE(self%vols(1:self%numVols))
-
-      !Go back to the beggining to read each specific element
-      DO e = 1, totalNumElem
-        BACKSPACE(10)
-
-      END DO
-
-      !Reads surfaces
-      DO e = 1, self%numEdges
-        READ(10, *) n, elemType
-        BACKSPACE(10)
-
-        SELECT CASE(elemType)
-        CASE(2)
-          !Triangular surface
-          READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1:3)
-          bt = getBoundaryID(boundaryType)
-
-          ALLOCATE(meshEdge3DCartTria:: self%edges(e)%obj)
-
-          CALL self%edges(e)%obj%init(n, p(1:3), bt, boundaryType)
-
-        END SELECT
-
-      END DO
-
-      !Read and initialize volumes
-      DO e = 1, self%numVols
-        READ(10, *) n, elemType
-        BACKSPACE(10)
-
-        SELECT CASE(elemType)
-        CASE(4)
-          !Tetrahedron element
-          READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:4)
-          ALLOCATE(meshVol3DCartTetra::  self%vols(e)%obj)
-          CALL self%vols(e)%obj%init(n - self%numEdges, p(1:4))
-
-        END SELECT
-
-      END DO
-
-      CLOSE(10)
-
-      !Build connectivy between elements
-      DO e = 1, self%numVols
-        !Connectivity between volumes
-        DO et = 1, self%numVols
-          IF (e /= et) THEN
-            CALL connected(self%vols(e)%obj, self%vols(et)%obj)
-
-          END IF
-
-        END DO
-
-        !Connectivity between vols and surfaces
-        DO et = 1, self%numEdges
-          CALL connected(self%vols(e)%obj, self%edges(et)%obj)
-
-        END DO
-
-        !Constructs the global K matrix
-        CALL constructGlobalK(self%K, self%vols(e)%obj)
-        
-      END DO
-
-    END SUBROUTINE readMesh3DCartGmsh
-
-    !Selects type of elements to build connection
-    SUBROUTINE connectedVolVol(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol), INTENT(inout):: elemA
-      CLASS(meshVol), INTENT(inout):: elemB
-
-      SELECT TYPE(elemA)
-      TYPE IS(meshVol3DCartTetra)
-        !Element A is a tetrahedron
-        SELECT TYPE(elemB)
-        TYPE IS(meshVol3DCartTetra)
-          !Element B is a tetrahedron
-          CALL connectedTetraTetra(elemA, elemB)
-
-        END SELECT
-
-      END SELECT
-
-    END SUBROUTINE connectedVolVol
-
-
-    SUBROUTINE connectedVolEdge(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol),  INTENT(inout):: elemA
-      CLASS(meshEdge), INTENT(inout):: elemB
-
-      SELECT TYPE(elemB)
-      CLASS IS(meshEdge3DCartTria)
-        SELECT TYPE(elemA)
-        TYPE IS(meshVol3DCartTetra)
-          !Element A is a tetrahedron
-          CALL connectedTetraEdge(elemA, elemB)
-
-        END SELECT
-
-      END SELECT
-
-    END SUBROUTINE connectedVolEdge
-
-    PURE FUNCTION coincidentNodes(nodesA, nodesB) RESULT(coincident)
-      IMPLICIT NONE
-
-      INTEGER, DIMENSION(1:3), INTENT(in):: nodesA, nodesB
-      LOGICAL:: coincident
-      INTEGER:: i
-
-      coincident = .FALSE.
-      DO i = 1, 3
-        IF (ANY(nodesA(i) == nodesB)) THEN
-          coincident = .TRUE.
-
-        ELSE
-          coincident = .FALSE.
-          EXIT
-
-        END IF
-
-      END DO
-
-    END FUNCTION coincidentNodes
-
-    SUBROUTINE connectedTetraTetra(elemA, elemB)
-      IMPLICIT NONE
-
-      CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemB
-
-      !TODO: Try to find a much clear way to do this
-
-      !Check surface 1
-      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
-        IF     (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
-                                (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
-
-          elemA%e1 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
-                                (/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
-
-          elemA%e1 => elemB
-          elemB%e2 => elemA
-
-        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
-                                (/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
-
-          elemA%e1 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
-                                (/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
-
-          elemA%e1 => elemB
-          elemB%e4 => elemA
-
-        END IF
-
-      END IF
-
-      !Check surface 2
-      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
-        IF     (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
-                                (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
-
-          elemA%e2 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
-                                (/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
-
-          elemA%e2 => elemB
-          elemB%e2 => elemA
-
-        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
-                                (/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
-
-          elemA%e2 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
-                                (/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
-
-          elemA%e2 => elemB
-          elemB%e4 => elemA
-
-        END IF
-
-      END IF
-
-      !Check surface 3
-      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF     (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
-                                (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
-
-          elemA%e3 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
-                                (/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
-
-          elemA%e3 => elemB
-          elemB%e2 => elemA
-
-        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
-                                (/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
-
-          elemA%e3 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
-                                (/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
-
-          elemA%e3 => elemB
-          elemB%e4 => elemA
-
-        END IF
-
-      END IF
-
-      !Check surface 4
-      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
-        IF     (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
-                                (/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
-
-          elemA%e4 => elemB
-          elemB%e1 => elemA
-
-        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
-                                (/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
-
-          elemA%e4 => elemB
-          elemB%e2 => elemA
-
-        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
-                                (/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
-
-          elemA%e4 => elemB
-          elemB%e3 => elemA
-
-        ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
-                                (/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
-
-          elemA%e4 => elemB
-          elemB%e4 => elemA
-
-        END IF
-
-      END IF
-
-    END SUBROUTINE connectedTetraTetra
-
-    SUBROUTINE connectedTetraEdge(elemA, elemB)
-      USE moduleMath
-      IMPLICIT NONE
-
-      CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemA
-      CLASS(meshEdge3DCartTria), INTENT(inout), TARGET:: elemB
-      INTEGER:: nodesEdge(1:3)
-      REAL(8), DIMENSION(1:3):: vec1, vec2
-      REAL(8):: normVol(1:3)
-
-      nodesEdge = (/ elemB%n1%n, elemB%n2%n, elemB%n3%n /)
-
-      !Check surface 1
-      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
-        IF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elema%n3%n/), &
-                              nodesEdge)) THEN
-
-          vec1 = (/ elemA%x(2) - elemA%x(1), &
-                    elemA%y(2) - elemA%y(1), &
-                    elemA%z(2) - elemA%z(1) /)
-          vec2 = (/ elemA%x(3) - elemA%x(1), &
-                    elemA%y(3) - elemA%y(1), &
-                    elemA%z(3) - elemA%z(1) /)
-          normVol = crossProduct(vec1, vec2)
-          normVol = normalize(normVol)
-
-          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
-
-            elemA%e1 => elemB
-            elemB%e1 => elemA
-
-          ELSE
-
-            elemA%e1 => elemB
-            elemB%e2 => elemA
-
-            !Revers the normal to point inside the domain
-            elemB%normal = -elemB%normal
-
-          END IF
-
-        END IF
-
-      END IF
-
-      !Check surface 2
-      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
-        IF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
-                              nodesEdge)) THEN
-
-          vec1 = (/ elemA%x(3) - elemA%x(2), &
-                    elemA%y(3) - elemA%y(2), &
-                    elemA%z(3) - elemA%z(2) /)
-          vec2 = (/ elemA%x(4) - elemA%x(2), &
-                    elemA%y(4) - elemA%y(2), &
-                    elemA%z(4) - elemA%z(2) /)
-          normVol = crossProduct(vec1, vec2)
-          normVol = normalize(normVol)
-
-          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
-
-            elemA%e2 => elemB
-            elemB%e1 => elemA
-
-          ELSE
-
-            elemA%e2 => elemB
-            elemB%e2 => elemA
-
-            !Revers the normal to point inside the domain
-            elemB%normal = -elemB%normal
-
-          END IF
-
-        END IF
-
-      END IF
-
-      !Check surface 3
-      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
-        IF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elema%n4%n/), &
-                              nodesEdge)) THEN
-
-          vec1 = (/ elemA%x(2) - elemA%x(1), &
-                    elemA%y(2) - elemA%y(1), &
-                    elemA%z(2) - elemA%z(1) /)
-          vec2 = (/ elemA%x(4) - elemA%x(1), &
-                    elemA%y(4) - elemA%y(1), &
-                    elemA%z(4) - elemA%z(1) /)
-          normVol = crossProduct(vec1, vec2)
-          normVol = normalize(normVol)
-
-          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
-
-            elemA%e3 => elemB
-            elemB%e1 => elemA
-
-          ELSE
-
-            elemA%e3 => elemB
-            elemB%e2 => elemA
-
-            !Revers the normal to point inside the domain
-            elemB%normal = -elemB%normal
-
-          END IF
-
-        END IF
-
-      END IF
-
-      !Check surface 4
-      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
-        IF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elema%n4%n/), &
-                              nodesEdge)) THEN
-
-          vec1 = (/ elemA%x(3) - elemA%x(1), &
-                    elemA%y(3) - elemA%y(1), &
-                    elemA%z(3) - elemA%z(1) /)
-          vec2 = (/ elemA%x(4) - elemA%x(1), &
-                    elemA%y(4) - elemA%y(1), &
-                    elemA%z(4) - elemA%z(1) /)
-          normVol = crossProduct(vec1, vec2)
-          normVol = normalize(normVol)
-
-          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
-
-            elemA%e4 => elemB
-            elemB%e1 => elemA
-
-
-          ELSE
-
-            elemA%e4 => elemB
-            elemB%e2 => elemA
-
-            !Revers the normal to point inside the domain
-            elemB%normal = -elemB%normal
-
-          END IF
-
-        END IF
-
-      END IF
-
-    END SUBROUTINE connectedTetraEdge
-
-    SUBROUTINE constructGlobalK(K, elem)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(inout):: K(1:, 1:)
-      CLASS(meshVol), INTENT(in):: elem
-      REAL(8), ALLOCATABLE:: localK(:,:)
-      INTEGER:: nNodes, i, j
-      INTEGER, ALLOCATABLE:: n(:)
-
-      SELECT TYPE(elem)
-      TYPE IS(meshVol3DCartTetra)
-        nNodes = 4
-        ALLOCATE(localK(1:nNodes,1:nNodes))
-        localK = elem%elemK()
-        ALLOCATE(n(1:nNodes))
-        n = (/ elem%n1%n, elem%n2%n, &
-               elem%n3%n, elem%n4%n /)
-
-      CLASS DEFAULT
-        nNodes = 0
-        ALLOCATE(localK(1:1, 1:1))
-        localK = 0.D0
-        ALLOCATE(n(1:1))
-        n = 0
-
-      END SELECT
-      
-      DO i = 1, nNodes
-        DO j = 1, nNodes
-          K(n(i), n(j)) = K(n(i), n(j)) + localK(i, j)
-        END DO
-      END DO
-
-    END SUBROUTINE constructGlobalK
-
-END MODULE moduleMesh3DCartRead
diff --git a/src/modules/mesh/inout/gmsh2/makefile b/src/modules/mesh/inout/gmsh2/makefile
new file mode 100644
index 0000000..68ad11b
--- /dev/null
+++ b/src/modules/mesh/inout/gmsh2/makefile
@@ -0,0 +1,7 @@
+all: moduleMeshInputGmsh2.o moduleMeshOutputGmsh2.o
+
+moduleMeshInputGmsh2.o: moduleMeshOutputGmsh2.o moduleMeshInputGmsh2.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
+%.o: %.f90
+	$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
new file mode 100644
index 0000000..7cfdb01
--- /dev/null
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -0,0 +1,295 @@
+MODULE moduleMeshInputGmsh2
+
+  CONTAINS
+    !Inits a mesh to use Gmsh2 format
+    SUBROUTINE initGmsh2(self)
+      USE moduleMesh
+      USE moduleMeshOutputGmsh2
+      IMPLICIT NONE
+
+      TYPE(meshParticle), INTENT(inout):: self
+
+      self%printOutput => printOutputGmsh2
+      self%printColl   => printCollGmsh2
+      self%printEM     => printEMGmsh2
+      self%readMesh    => readGmsh2
+
+    END SUBROUTINE initGmsh2
+
+    !Reads a Gmsh 2 format
+    SUBROUTINE readGmsh2(self, filename)
+      USE moduleMesh3DCart
+      USE moduleMesh2DCyl
+      USE moduleMesh2DCart
+      USE moduleMesh1DRad
+      USE moduleMesh1DCart
+      USE moduleBoundary
+      IMPLICIT NONE
+
+      CLASS(meshParticle), INTENT(inout):: self
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
+      REAL(8):: x1, x2, x3 !3 generic coordinates
+      INTEGER, ALLOCATABLE:: p(:) !Array for nodes
+      INTEGER:: e = 0, n = 0, eTemp = 0, elemType = 0, bt = 0
+      INTEGER:: totalNumElem
+      INTEGER:: boundaryType
+
+      !Read mesh
+      OPEN(10, FILE=TRIM(filename))
+
+      !Skip header
+      READ(10, *)
+      READ(10, *)
+      READ(10, *)
+      READ(10, *)
+
+      !Read number of nodes
+      READ(10, *) self%numNodes
+
+      !Allocate required matrices and vectors
+      ALLOCATE(self%nodes(1:self%numNodes))
+      ALLOCATE(self%K(1:self%numNodes, 1:self%numNodes))
+      ALLOCATE(self%IPIV(1:self%numNodes, 1:self%numNodes))
+      self%K = 0.D0
+      self%IPIV = 0
+
+      !Read the nodes information
+      DO e = 1, self%numNodes
+        READ(10, *) n, x1, x2, x3
+        SELECT CASE(self%geometry)
+        CASE("3DCart")
+          ALLOCATE(meshNode3Dcart::self%nodes(n)%obj)
+          CALL self%nodes(n)%obj%init(n, (/x1, x2, x3 /))
+
+        CASE("2DCyl")
+          ALLOCATE(meshNode2DCyl:: self%nodes(n)%obj)
+          CALL self%nodes(n)%obj%init(n, (/x1, x2, 0.D0 /))
+
+        CASE("2DCart")
+          ALLOCATE(meshNode2DCart:: self%nodes(n)%obj)
+          CALL self%nodes(n)%obj%init(n, (/x1, x2, 0.D0 /))
+
+        CASE("1DRad")
+          ALLOCATE(meshNode1DRad:: self%nodes(n)%obj)
+          CALL self%nodes(n)%obj%init(n, (/x1, 0.D0, 0.D0 /))
+
+        CASE("1DCart")
+          ALLOCATE(meshNode1DCart:: self%nodes(n)%obj)
+          CALL self%nodes(n)%obj%init(n, (/x1, 0.D0, 0.D0 /))
+
+        END SELECT
+
+      END DO
+
+      !Skip comments
+      READ(10, *)
+      READ(10, *)
+
+      !Reads total number of elements (no nodes)
+      READ(10, *) totalNumElem
+
+      !conts edges and volume elements
+      self%numEdges = 0
+      DO e = 1, totalNumElem
+        READ(10, *) eTemp, elemType
+        SELECT CASE(self%geometry)
+        CASE("3DCart")
+          !Element type 2 is triangle in gmsh
+          IF (elemType == 2)  self%numEdges = e
+
+        CASE("2DCyl","2DCart")
+          !Element type 1 is segment in Gmsh
+          IF (elemType == 1)  self%numEdges = e
+
+        CASE("1DRad","1DCart")
+          !Element type 15 is physical point in Gmsh
+          IF (elemType == 15) self%numEdges = e
+
+        END SELECT
+
+      END DO
+      !Substract the number of edges to the total number of elements
+      !to obtain the number of volume elements
+      self%numVols = TotalnumElem - self%numEdges
+      !Allocates arrays
+      ALLOCATE(self%edges(1:self%numEdges))
+      ALLOCATE(self%vols(1:self%numVols))
+
+      !Go back to the beggining to read elements
+      DO e=1, totalNumElem
+        BACKSPACE(10)
+      END DO
+
+      !Reads edges
+      DO e=1, self%numEdges
+        !Reads the edge according to the geometry
+        SELECT CASE(self%geometry)
+        CASE("3DCart")
+          READ(10, *) n, elemType, eTemp, boundaryType
+          BACKSPACE(10)
+
+          !Associate boundary condition procedure.
+          bt = getBoundaryID(boundaryType)
+
+          SELECT CASE(elemType)
+          CASE(2)
+            !Triangular surface
+            ALLOCATE(p(1:3))
+
+            READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1:3)
+
+            ALLOCATE(meshEdge3DCartTria:: self%edges(e)%obj)
+
+            CALL self%edges(e)%obj%init(n, p(1:3), bt, boundaryType)
+
+            DEALLOCATE(p)
+
+          END SELECT
+
+        CASE("2DCyl")
+          ALLOCATE(p(1:2))
+
+          READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
+          !Associate boundary condition procedure.
+          bt = getBoundaryId(boundaryType)
+
+          ALLOCATE(meshEdge2DCyl:: self%edges(e)%obj)
+
+          CALL self%edges(e)%obj%init(n, p(1:2), bt, boundaryType)
+
+          DEALLOCATE(p)
+
+        CASE("2DCart")
+          ALLOCATE(p(1:2))
+
+          READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
+          !Associate boundary condition procedure.
+          bt = getBoundaryId(boundaryType)
+
+          ALLOCATE(meshEdge2DCart:: self%edges(e)%obj)
+
+          CALL self%edges(e)%obj%init(n, p(1:2), bt, boundaryType)
+
+          DEALLOCATE(p)
+
+        CASE("1DRad")
+          ALLOCATE(p(1:1))
+
+          READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
+          !Associate boundary condition 
+          bt = getBoundaryId(boundaryType)
+
+          ALLOCATE(meshEdge1DRad:: self%edges(e)%obj)
+
+          CALL self%edges(e)%obj%init(n, p(1:1), bt, boundaryType)
+
+          DEALLOCATE(p)
+
+        CASE("1DCart")
+          ALLOCATE(p(1:1))
+
+          READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
+          !Associate boundary condition 
+          bt = getBoundaryId(boundaryType)
+
+          ALLOCATE(meshEdge1DCart:: self%edges(e)%obj)
+
+          CALL self%edges(e)%obj%init(n, p(1:1), bt, boundaryType)
+
+          DEALLOCATE(p)
+
+        END SELECT
+
+      END DO
+
+      !Read and initialize volumes
+      DO e = 1, self%numVols
+        !Reads the volume according to the geometry
+        SELECT CASE(self%geometry)
+        CASE("3DCart")
+          READ(10, *) n, elemType
+          BACKSPACE(10)
+
+          SELECT CASE(elemType)
+          CASE(4)
+            !Tetrahedron element
+            ALLOCATE(p(1:4))
+            READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:4)
+            ALLOCATE(meshVol3DCartTetra::  self%vols(e)%obj)
+            CALL self%vols(e)%obj%init(n - self%numEdges, p(1:4))
+
+          END SELECT
+
+          DEALLOCATE(p)
+
+        CASE("2DCyl")
+          READ(10,*) n, elemType
+          BACKSPACE(10)
+
+          SELECT CASE(elemType)
+          CASE (2)
+            !Triangular element
+            ALLOCATE(p(1:3))
+            READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:3)
+            ALLOCATE(meshVol2DCylTria:: self%vols(e)%obj)
+            CALL self%vols(e)%obj%init(n - self%numEdges, p(1:3))
+
+          CASE (3)
+            !Quadrilateral element
+            ALLOCATE(p(1:4))
+            READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:4)
+            ALLOCATE(meshVol2DCylQuad:: self%vols(e)%obj)
+            CALL self%vols(e)%obj%init(n - self%numEdges, p(1:4))
+
+          END SELECT
+
+          DEALLOCATE(p)
+
+        CASE("2DCart")
+          READ(10,*) n, elemType
+          BACKSPACE(10)
+
+          SELECT CASE(elemType)
+          CASE (2)
+            !Triangular element
+            ALLOCATE(p(1:3))
+            READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:3)
+            ALLOCATE(meshVol2DCartTria:: self%vols(e)%obj)
+            CALL self%vols(e)%obj%init(n - self%numEdges, p(1:3))
+
+          CASE (3)
+            !Quadrilateral element
+            ALLOCATE(p(1:4))
+            READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:4)
+            ALLOCATE(meshVol2DCartQuad:: self%vols(e)%obj)
+            CALL self%vols(e)%obj%init(n - self%numEdges, p(1:4))
+
+          END SELECT
+
+          DEALLOCATE(p)
+
+        CASE("1DRad")
+          ALLOCATE(p(1:2))
+
+          READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:2)
+          ALLOCATE(meshVol1DRadSegm:: self%vols(e)%obj)
+          CALL self%vols(e)%obj%init(n - self%numEdges, p(1:2))
+
+          DEALLOCATE(p)
+
+        CASE("1DCart")
+          ALLOCATE(p(1:2))
+
+          READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:2)
+          ALLOCATE(meshVol1DCartSegm:: self%vols(e)%obj)
+          CALL self%vols(e)%obj%init(n - self%numEdges, p(1:2))
+
+          DEALLOCATE(p)
+
+        END SELECT
+
+      END DO
+
+    END SUBROUTINE readGmsh2
+
+END MODULE moduleMeshInputGmsh2
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
new file mode 100644
index 0000000..902206d
--- /dev/null
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -0,0 +1,197 @@
+MODULE moduleMeshOutputGmsh2
+
+  CONTAINS
+    !Prints the scattered properties of particles into the nodes
+    SUBROUTINE printOutputGmsh2(self, t)
+      USE moduleMesh
+      USE moduleRefParam
+      USE moduleSpecies
+      USE moduleOutput
+      IMPLICIT NONE
+
+      CLASS(meshParticle), INTENT(in):: self
+      INTEGER, INTENT(in):: t
+      INTEGER:: n, i
+      TYPE(outputFormat):: output(1:self%numNodes)
+      REAL(8):: time
+      CHARACTER(:), ALLOCATABLE:: fileName
+      CHARACTER (LEN=iterationDigits):: tstring
+
+      time = DBLE(t)*tauMin*ti_ref
+
+      DO i = 1, nSpecies
+        WRITE(tstring, iterationFormat) t
+        fileName='OUTPUT_' // tstring// '_' // species(i)%obj%name // '.msh'
+        WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
+        OPEN (60, file = path // folder // '/' //  fileName)
+        WRITE(60, "(A)") '$MeshFormat'
+        WRITE(60, "(A)") '2.2 0 8'
+        WRITE(60, "(A)") '$EndMeshFormat'
+        WRITE(60, "(A)") '$NodeData'
+        WRITE(60, "(A)") '1'
+        WRITE(60, "(A)") '"Density ' // species(i)%obj%name // ' (m^-3)"'
+        WRITE(60, *) 1
+        WRITE(60, *) time
+        WRITE(60, *) 3
+        WRITE(60, *) t
+        WRITE(60, *) 1
+        WRITE(60, *) self%numNodes
+        DO n=1, self%numNodes
+          CALL calculateOutput(self%nodes(n)%obj%output(i), output(n), self%nodes(n)%obj%v, species(i)%obj)
+          WRITE(60, "(I6,ES20.6E3)") n, output(n)%density
+        END DO
+        WRITE(60, "(A)") '$EndNodeData'
+        WRITE(60, "(A)") '$NodeData'
+        WRITE(60, "(A)") '1'
+        WRITE(60, "(A)") '"Velocity ' // species(i)%obj%name // ' (m/s)"'
+        WRITE(60, *) 1
+        WRITE(60, *) time
+        WRITE(60, *) 3
+        WRITE(60, *) t
+        WRITE(60, *) 3
+        WRITE(60, *) self%numNodes
+        DO n=1, self%numNodes
+          WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%velocity
+        END DO
+        WRITE(60, "(A)") '$EndNodeData'
+        WRITE(60, "(A)") '$NodeData'
+        WRITE(60, "(A)") '1'
+        WRITE(60, "(A)") '"Pressure ' // species(i)%obj%name // ' (Pa)"'
+        WRITE(60, *) 1
+        WRITE(60, *) time
+        WRITE(60, *) 3
+        WRITE(60, *) t
+        WRITE(60, *) 1
+        WRITE(60, *) self%numNodes
+        DO n=1, self%numNodes
+          WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%pressure
+        END DO
+        WRITE(60, "(A)") '$EndNodeData'
+        WRITE(60, "(A)") '$NodeData'
+        WRITE(60, "(A)") '1'
+        WRITE(60, "(A)") '"Temperature ' // species(i)%obj%name // ' (K)"'
+        WRITE(60, *) 1
+        WRITE(60, *) time
+        WRITE(60, *) 3
+        WRITE(60, *) t
+        WRITE(60, *) 1
+        WRITE(60, *) self%numNodes
+        DO n=1, self%numNodes
+          WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%temperature
+        END DO
+        WRITE(60, "(A)") '$EndNodeData'
+        CLOSE (60)
+
+      END DO
+
+    END SUBROUTINE printOutputGmsh2
+
+    !Prints the number of collisions into the volumes
+    SUBROUTINE printCollGmsh2(self, t)
+      USE moduleMesh
+      USE moduleRefParam
+      USE moduleCaseParam
+      USE moduleCollisions
+      USE moduleOutput
+      IMPLICIT NONE
+
+      CLASS(meshParticle), INTENT(in):: self
+      INTEGER, INTENT(in):: t
+      INTEGER:: n
+      REAL(8):: time
+      CHARACTER(:), ALLOCATABLE:: fileName
+      CHARACTER (LEN=iterationDigits):: tstring
+
+
+      IF (collOutput) THEN
+        time = DBLE(t)*tauMin*ti_ref
+        WRITE(tstring, iterationFormat) t
+
+        fileName='OUTPUT_' // tstring// '_Collisions.msh'
+        WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
+        OPEN (60, file = path // folder // '/' //  fileName)
+        WRITE(60, "(A)") '$MeshFormat'
+        WRITE(60, "(A)") '2.2 0 8'
+        WRITE(60, "(A)") '$EndMeshFormat'
+        WRITE(60, "(A)") '$ElementData'
+        WRITE(60, "(A)") '1'
+        WRITE(60, "(A)") '"Collisions"'
+        WRITE(60, *) 1
+        WRITE(60, *) time
+        WRITE(60, *) 3
+        WRITE(60, *) t
+        WRITE(60, *) 1
+        WRITE(60, *) self%numVols
+        DO n=1, self%numVols
+          WRITE(60, "(I6,I10)") n + self%numEdges, self%vols(n)%obj%nColl
+        END DO
+        WRITE(60, "(A)") '$EndElementData'
+
+        CLOSE(60)
+
+      END IF
+
+    END SUBROUTINE printCollGmsh2
+
+    !Prints the electrostatic EM properties into the nodes and volumes
+    SUBROUTINE printEMGmsh2(self, t)
+      USE moduleMesh
+      USE moduleRefParam
+      USE moduleCaseParam
+      USE moduleOutput
+      IMPLICIT NONE
+
+      CLASS(meshParticle), INTENT(in):: self
+      INTEGER, INTENT(in):: t
+      INTEGER:: n, e
+      REAL(8):: time
+      CHARACTER(:), ALLOCATABLE:: fileName
+      CHARACTER (LEN=iterationDigits):: tstring
+      REAL(8):: xi(1:3)
+
+      xi = (/ 0.D0, 0.D0, 0.D0 /)
+
+      IF (emOutput) THEN
+        time = DBLE(t)*tauMin*ti_ref
+        WRITE(tstring, iterationFormat) t
+
+        fileName='OUTPUT_' // tstring// '_EMField.msh'
+        WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
+        OPEN (20, file = path // folder // '/' //  fileName)
+        WRITE(20, "(A)") '$MeshFormat'
+        WRITE(20, "(A)") '2.2 0 8'
+        WRITE(20, "(A)") '$EndMeshFormat'
+        WRITE(20, "(A)") '$NodeData'
+        WRITE(20, "(A)") '1'
+        WRITE(20, "(A)") '"Potential (V)"'
+        WRITE(20, *) 1
+        WRITE(20, *) time
+        WRITE(20, *) 3
+        WRITE(20, *) t
+        WRITE(20, *) 1
+        WRITE(20, *) self%numNodes
+        DO n=1, self%numNodes
+          WRITE(20, *) n, self%nodes(n)%obj%emData%phi*Volt_ref
+        END DO
+        WRITE(20, "(A)") '$EndNodeData'
+        
+        WRITE(20, "(A)") '$ElementData'
+        WRITE(20, "(A)") '1'
+        WRITE(20, "(A)") '"Electric Field (V/m)"'
+        WRITE(20, *) 1
+        WRITE(20, *) time
+        WRITE(20, *) 3
+        WRITE(20, *) t
+        WRITE(20, *) 3
+        WRITE(20, *) self%numVols
+        DO e=1, self%numVols
+          WRITE(20, *) e+self%numEdges, self%vols(e)%obj%gatherEF(xi)*EF_ref
+        END DO
+        WRITE(20, "(A)") '$EndElementData'
+        CLOSE(20)
+
+      END IF
+
+    END SUBROUTINE printEMGmsh2
+
+END MODULE moduleMeshOutputGmsh2
diff --git a/src/modules/mesh/inout/makefile b/src/modules/mesh/inout/makefile
new file mode 100644
index 0000000..7817608
--- /dev/null
+++ b/src/modules/mesh/inout/makefile
@@ -0,0 +1,4 @@
+all: gmsh2.o
+
+gmsh2.o:
+	$(MAKE) -C gmsh2 all
diff --git a/src/modules/mesh/makefile b/src/modules/mesh/makefile
index 9849ba9..0adc8f6 100644
--- a/src/modules/mesh/makefile
+++ b/src/modules/mesh/makefile
@@ -1,18 +1,18 @@
-all: moduleMesh.o moduleMeshBoundary.o 3DCart.o 2DCyl.o 2DCart.o 1DRad.o 1DCart.o
+all: moduleMesh.o moduleMeshBoundary.o inout.o 3DCart.o 2DCyl.o 2DCart.o 1DRad.o 1DCart.o
 
-3DCart.o:
+3DCart.o: moduleMesh.o
 	$(MAKE) -C 3DCart all
 
-2DCyl.o:
+2DCyl.o: moduleMesh.o
 	$(MAKE) -C 2DCyl all
 
-2DCart.o:
+2DCart.o: moduleMesh.o
 	$(MAKE) -C 2DCart all
 
-1DCart.o:
+1DCart.o: moduleMesh.o
 	$(MAKE) -C 1DCart all
 
-1DRad.o:
+1DRad.o: moduleMesh.o
 	$(MAKE) -C 1DRad all
 
 moduleMesh.o: moduleMesh.f90
@@ -20,3 +20,6 @@ moduleMesh.o: moduleMesh.f90
 
 moduleMeshBoundary.o: moduleMesh.o moduleMeshBoundary.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
+inout.o: 3DCart.o 2DCyl.o 2DCart.o 1DRad.o 1DCart.o
+	$(MAKE) -C inout all
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 54ff883..e80b957 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -163,6 +163,7 @@ MODULE moduleMesh
       PROCEDURE(randPosVol_interface),  DEFERRED, PASS::   randPos
       PROCEDURE(scatter_interface),     DEFERRED, PASS::   scatter
       PROCEDURE(gatherEF_interface),    DEFERRED, PASS::   gatherEF
+      PROCEDURE(elemK_interface),       DEFERRED, PASS::   elemK
       PROCEDURE(elemF_interface),       DEFERRED, PASS::   elemF
       PROCEDURE,                                  PASS::   findCell
       PROCEDURE(phy2log_interface),     DEFERRED, PASS::   phy2log
@@ -206,6 +207,13 @@ MODULE moduleMesh
 
     END FUNCTION getNodesVol_interface
 
+    PURE FUNCTION elemK_interface(self) RESULT(localK)
+      IMPORT:: meshVol
+      CLASS(meshVol), INTENT(in):: self
+      REAL(8), ALLOCATABLE:: localK(:,:)
+
+    END FUNCTION elemK_interface
+
     PURE FUNCTION elemF_interface(self, source) RESULT(localF)
       IMPORT:: meshVol
       CLASS(meshVol), INTENT(in):: self
@@ -252,8 +260,8 @@ MODULE moduleMesh
 
   END TYPE meshVolCont
 
-  !Abstract type of mesh
-  TYPE, PUBLIC, ABSTRACT:: meshGeneric
+  !Particle mesh
+  TYPE, PUBLIC:: meshParticle
     INTEGER:: numEdges, numNodes, numVols
     !Array of nodes
     TYPE(meshNodeCont), ALLOCATABLE:: nodes(:)
@@ -261,69 +269,71 @@ MODULE moduleMesh
     TYPE(meshEdgeCont), ALLOCATABLE:: edges(:)
     !Array of volume elements
     TYPE(meshVolCont),  ALLOCATABLE:: vols(:)
+    !Geometry of the mesh
+    CHARACTER(:), ALLOCATABLE:: geometry
     !Global stiffness matrix
     REAL(8), ALLOCATABLE, DIMENSION(:,:):: K 
     !Permutation matrix for P L U factorization
     INTEGER, ALLOCATABLE, DIMENSION(:,:):: IPIV
-    PROCEDURE(printOutput_interface), POINTER,  PASS:: printOutput => NULL()
-    PROCEDURE(printColl_interface),   POINTER,  PASS:: printColl   => NULL()
-    PROCEDURE(printEM_interface),     POINTER,  PASS:: printEM     => NULL()
+    PROCEDURE(printOutput_interface), POINTER, PASS:: printOutput => NULL()
+    PROCEDURE(printColl_interface),   POINTER, PASS:: printColl   => NULL()
+    PROCEDURE(printEM_interface),     POINTER, PASS:: printEM     => NULL()
+    PROCEDURE(readMesh_interface),    POINTER, PASS:: readMesh    => NULL()
+    PROCEDURE(connectMesh_interface), POINTER, PASS:: connectMesh => NULL()
     CONTAINS
-      PROCEDURE(initMesh_interface),    DEFERRED, PASS:: init
-      PROCEDURE(readMesh_interface),    DEFERRED, PASS:: readMesh
+      PROCEDURE, PASS:: constructGlobalK
 
-  END TYPE meshGeneric
+  END TYPE meshParticle
 
   ABSTRACT INTERFACE
-    !Inits the mesh
-    SUBROUTINE initMesh_interface(self, meshFormat)
-      IMPORT meshGeneric
-
-      CLASS(meshGeneric), INTENT(out):: self
-      CHARACTER(:), ALLOCATABLE, INTENT(in):: meshFormat
-
-    END SUBROUTINE initMesh_interface
-
-    !Reads the mesh from a file
-    SUBROUTINE readMesh_interface(self, filename)
-      IMPORT meshGeneric
-
-      CLASS(meshGeneric), INTENT(inout):: self
-      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
-
-    END SUBROUTINE readMesh_interface
-
     !Prints Species data
     SUBROUTINE printOutput_interface(self, t)
-      IMPORT meshGeneric
+      IMPORT meshParticle
 
-      CLASS(meshGeneric), INTENT(in):: self
+      CLASS(meshParticle), INTENT(in):: self
       INTEGER, INTENT(in):: t
 
     END SUBROUTINE printOutput_interface
 
     !Prints number of collisions
     SUBROUTINE printColl_interface(self, t)
-      IMPORT meshGeneric
+      IMPORT meshParticle
 
-      CLASS(meshGeneric), INTENT(in):: self
+      CLASS(meshParticle), INTENT(in):: self
       INTEGER, INTENT(in):: t
 
     END SUBROUTINE printColl_interface
 
     !Prints EM info
     SUBROUTINE printEM_interface(self, t)
-      IMPORT meshGeneric
+      IMPORT meshParticle
 
-      CLASS(meshGeneric), INTENT(in):: self
+      CLASS(meshParticle), INTENT(in):: self
       INTEGER, INTENT(in):: t
 
     END SUBROUTINE printEM_interface
 
+    !Reads the mesh from a file
+    SUBROUTINE readMesh_interface(self, filename)
+      IMPORT meshParticle
+
+      CLASS(meshParticle), INTENT(inout):: self
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
+
+    END SUBROUTINE readMesh_interface
+
+    SUBROUTINE connectMesh_interface(self)
+      IMPORT meshParticle
+
+      CLASS(meshParticle), INTENT(inout):: self
+
+    END SUBROUTINE connectMesh_interface
+
+
   END INTERFACE
 
-  !Generic mesh
-  CLASS(meshGeneric), ALLOCATABLE, TARGET:: mesh
+  !Particle mesh
+  TYPE(meshParticle), TARGET:: mesh
 
   CONTAINS
     !Reset the output of node
@@ -467,191 +477,31 @@ MODULE moduleMesh
 
     END SUBROUTINE collision
 
-    SUBROUTINE printOutputGmsh(self, t)
-      USE moduleRefParam
-      USE moduleSpecies
-      USE moduleOutput
+    !Constructs the global K matrix
+    SUBROUTINE constructGlobalK(self)
       IMPLICIT NONE
 
-      CLASS(meshGeneric), INTENT(in):: self
-      INTEGER, INTENT(in):: t
-      INTEGER:: n, i
-      TYPE(outputFormat):: output(1:self%numNodes)
-      REAL(8):: time
-      CHARACTER(:), ALLOCATABLE:: fileName
-      CHARACTER (LEN=iterationDigits):: tstring
+      CLASS(meshParticle), INTENT(inout):: self
+      INTEGER:: e
+      INTEGER, ALLOCATABLE:: n(:)
+      REAL(8), ALLOCATABLE:: localK(:,:)
+      INTEGER:: nNodes, i, j
 
-      time = DBLE(t)*tauMin*ti_ref
+      DO e = 1, self%numVols
+        n      = self%vols(e)%obj%getNodes()
+        localK = self%vols(e)%obj%elemK()
+        nNodes = SIZE(n)
+
+        DO i = 1, nNodes
+          DO j = 1, nNodes
+            self%K(n(i), n(j)) = self%K(n(i), n(j)) + localK(i, j)
+
+          END DO
 
-      DO i = 1, nSpecies
-        WRITE(tstring, iterationFormat) t
-        fileName='OUTPUT_' // tstring// '_' // species(i)%obj%name // '.msh'
-        WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
-        OPEN (60, file = path // folder // '/' //  fileName)
-        WRITE(60, "(A)") '$MeshFormat'
-        WRITE(60, "(A)") '2.2 0 8'
-        WRITE(60, "(A)") '$EndMeshFormat'
-        WRITE(60, "(A)") '$NodeData'
-        WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"Density ' // species(i)%obj%name // ' (m^-3)"'
-        WRITE(60, *) 1
-        WRITE(60, *) time
-        WRITE(60, *) 3
-        WRITE(60, *) t
-        WRITE(60, *) 1
-        WRITE(60, *) self%numNodes
-        DO n=1, self%numNodes
-          CALL calculateOutput(self%nodes(n)%obj%output(i), output(n), self%nodes(n)%obj%v, species(i)%obj)
-          WRITE(60, "(I6,ES20.6E3)") n, output(n)%density
         END DO
-        WRITE(60, "(A)") '$EndNodeData'
-        WRITE(60, "(A)") '$NodeData'
-        WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"Velocity ' // species(i)%obj%name // ' (m/s)"'
-        WRITE(60, *) 1
-        WRITE(60, *) time
-        WRITE(60, *) 3
-        WRITE(60, *) t
-        WRITE(60, *) 3
-        WRITE(60, *) self%numNodes
-        DO n=1, self%numNodes
-          WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%velocity
-        END DO
-        WRITE(60, "(A)") '$EndNodeData'
-        WRITE(60, "(A)") '$NodeData'
-        WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"Pressure ' // species(i)%obj%name // ' (Pa)"'
-        WRITE(60, *) 1
-        WRITE(60, *) time
-        WRITE(60, *) 3
-        WRITE(60, *) t
-        WRITE(60, *) 1
-        WRITE(60, *) self%numNodes
-        DO n=1, self%numNodes
-          WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%pressure
-        END DO
-        WRITE(60, "(A)") '$EndNodeData'
-        WRITE(60, "(A)") '$NodeData'
-        WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"Temperature ' // species(i)%obj%name // ' (K)"'
-        WRITE(60, *) 1
-        WRITE(60, *) time
-        WRITE(60, *) 3
-        WRITE(60, *) t
-        WRITE(60, *) 1
-        WRITE(60, *) self%numNodes
-        DO n=1, self%numNodes
-          WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%temperature
-        END DO
-        WRITE(60, "(A)") '$EndNodeData'
-        CLOSE (60)
 
       END DO
 
-    END SUBROUTINE printOutputGmsh
+    END SUBROUTINE constructGlobalK
 
-    SUBROUTINE printCollGmsh(self, t)
-      USE moduleRefParam
-      USE moduleCaseParam
-      USE moduleCollisions
-      USE moduleOutput
-      IMPLICIT NONE
-
-      CLASS(meshGeneric), INTENT(in):: self
-      INTEGER, INTENT(in):: t
-      INTEGER:: n
-      REAL(8):: time
-      CHARACTER(:), ALLOCATABLE:: fileName
-      CHARACTER (LEN=iterationDigits):: tstring
-
-
-      IF (collOutput) THEN
-        time = DBLE(t)*tauMin*ti_ref
-        WRITE(tstring, iterationFormat) t
-
-        fileName='OUTPUT_' // tstring// '_Collisions.msh'
-        WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
-        OPEN (60, file = path // folder // '/' //  fileName)
-        WRITE(60, "(A)") '$MeshFormat'
-        WRITE(60, "(A)") '2.2 0 8'
-        WRITE(60, "(A)") '$EndMeshFormat'
-        WRITE(60, "(A)") '$ElementData'
-        WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"Collisions"'
-        WRITE(60, *) 1
-        WRITE(60, *) time
-        WRITE(60, *) 3
-        WRITE(60, *) t
-        WRITE(60, *) 1
-        WRITE(60, *) self%numVols
-        DO n=1, self%numVols
-          WRITE(60, "(I6,I10)") n + self%numEdges, self%vols(n)%obj%nColl
-        END DO
-        WRITE(60, "(A)") '$EndElementData'
-
-        CLOSE(60)
-
-      END IF
-
-    END SUBROUTINE printCollGmsh
-
-    SUBROUTINE printEMGmsh(self, t)
-      USE moduleRefParam
-      USE moduleCaseParam
-      USE moduleOutput
-      IMPLICIT NONE
-
-      CLASS(meshGeneric), INTENT(in):: self
-      INTEGER, INTENT(in):: t
-      INTEGER:: n, e
-      REAL(8):: time
-      CHARACTER(:), ALLOCATABLE:: fileName
-      CHARACTER (LEN=iterationDigits):: tstring
-      REAL(8):: xi(1:3)
-
-      xi = (/ 0.D0, 0.D0, 0.D0 /)
-
-      IF (emOutput) THEN
-        time = DBLE(t)*tauMin*ti_ref
-        WRITE(tstring, iterationFormat) t
-
-        fileName='OUTPUT_' // tstring// '_EMField.msh'
-        WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
-        OPEN (20, file = path // folder // '/' //  fileName)
-        WRITE(20, "(A)") '$MeshFormat'
-        WRITE(20, "(A)") '2.2 0 8'
-        WRITE(20, "(A)") '$EndMeshFormat'
-        WRITE(20, "(A)") '$NodeData'
-        WRITE(20, "(A)") '1'
-        WRITE(20, "(A)") '"Potential (V)"'
-        WRITE(20, *) 1
-        WRITE(20, *) time
-        WRITE(20, *) 3
-        WRITE(20, *) t
-        WRITE(20, *) 1
-        WRITE(20, *) self%numNodes
-        DO n=1, self%numNodes
-          WRITE(20, *) n, self%nodes(n)%obj%emData%phi*Volt_ref
-        END DO
-        WRITE(20, "(A)") '$EndNodeData'
-        
-        WRITE(20, "(A)") '$ElementData'
-        WRITE(20, "(A)") '1'
-        WRITE(20, "(A)") '"Electric Field (V/m)"'
-        WRITE(20, *) 1
-        WRITE(20, *) time
-        WRITE(20, *) 3
-        WRITE(20, *) t
-        WRITE(20, *) 3
-        WRITE(20, *) self%numVols
-        DO e=1, self%numVols
-          WRITE(20, *) e+self%numEdges, self%vols(e)%obj%gatherEF(xi)*EF_ref
-        END DO
-        WRITE(20, "(A)") '$EndElementData'
-        CLOSE(20)
-
-      END IF
-
-    END SUBROUTINE printEMGmsh
-  
 END MODULE moduleMesh
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 98933de..395d031 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -689,11 +689,12 @@ MODULE moduleInput
     !Read the geometry (mesh) for the case
     SUBROUTINE readGeometry(config)
       USE moduleMesh
-      USE moduleMesh3DCartRead, ONLY: mesh3DCartGeneric
-      USE moduleMesh2DCylRead,  ONLY: mesh2DCylGeneric
-      USE moduleMesh2DCartRead, ONLY: mesh2DCartGeneric
-      USE moduleMesh1DCartRead, ONLY: mesh1DCartGeneric
-      USE moduleMesh1DRadRead,  ONLY: mesh1DRadGeneric
+      USE moduleMeshInputGmsh2, ONLY: initGmsh2
+      USE moduleMesh3DCart, ONLY: connectMesh3DCart
+      USE moduleMesh2DCyl,  ONLY: connectMesh2DCyl
+      USE moduleMesh2DCart, ONLY: connectMesh2DCart
+      USE moduleMesh1DRad,  ONLY: connectMesh1DRad
+      USE moduleMesh1DCart, ONLY: connectMesh1DCart
       USE moduleErrors
       USE moduleOutput
       USE json_module
@@ -701,45 +702,51 @@ MODULE moduleInput
 
       TYPE(json_file), INTENT(inout):: config
       LOGICAL:: found
-      CHARACTER(:), ALLOCATABLE:: geometryType, meshFormat, meshFile
+      CHARACTER(:), ALLOCATABLE:: meshFormat, meshFile
       CHARACTER(:), ALLOCATABLE:: fullPath
 
       !Selects the type of geometry.
-      CALL config%get('geometry.type', geometryType, found)
-      SELECT CASE(geometryType)
-      CASE ("3DCart")
-        !Creates a 3D cylindrical mesh
-        ALLOCATE(mesh3DCartGeneric:: mesh)
-
-      CASE ("2DCyl")
-        !Creates a 2D cylindrical mesh
-        ALLOCATE(mesh2DCylGeneric:: mesh)
-
-      CASE ("2DCart")
-        !Creates a 2D cylindrical mesh
-        ALLOCATE(mesh2DCartGeneric:: mesh)
-
-      CASE ("1DCart")
-        !Creates a 1D cartesian mesh
-        ALLOCATE(mesh1DCartGeneric:: mesh)
-
-      CASE ("1DRad")
-        !Creates a 1D cartesian mesh
-        ALLOCATE(mesh1DRadGeneric:: mesh)
-
-      CASE DEFAULT
-        CALL criticalError("Geometry type " // geometryType // " not supported.", "readGeometry")
-
-      END SELECT
+      CALL config%get('geometry.type', mesh%geometry, found)
 
       !Gets the type of mesh
       CALL config%get('geometry.meshType', meshFormat, found)
-      CALL mesh%init(meshFormat)
-      !Reads the mesh
+      SELECT CASE(meshFormat)
+      CASE ("gmsh2")
+        CALL initGmsh2(mesh)
+
+      CASE DEFAULT
+        CALL criticalError("Mesh format " // meshFormat // " not recogniced", "readGeometry")
+
+      END SELECT
+
+      !Reads the mesh file
       CALL config%get('geometry.meshFile', meshFile, found)
       fullpath = path // meshFile
       CALL mesh%readMesh(fullPath)
 
+      !Creates the connectivity between elements
+      SELECT CASE(mesh%geometry)
+      CASE("3DCart")
+        mesh%connectMesh => connectMesh3DCart
+
+      CASE("2DCyl")
+        mesh%connectMesh => connectMesh2DCyl
+
+      CASE("2DCart")
+        mesh%connectMesh => connectMesh2DCart
+
+      CASE("1DRad")
+        mesh%connectMesh => connectMesh1DRad
+
+      CASE("1DCart")
+        mesh%connectMesh => connectMesh1DCart
+
+      END SELECT
+      CALL mesh%connectMesh
+
+      !Builds the K matrix
+      CALL mesh%constructGlobalK()
+
     END SUBROUTINE readGeometry
 
     SUBROUTINE readEMBoundary(config)

From 16b86542d47ddd8d19ce75aeff30ddface3cdc26 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 29 Mar 2021 09:49:19 +0200
Subject: [PATCH 022/203] Modified documentation to change input meshFormat
 from gmsh to gmsh2 in preparation for supporting gmsh v4 in the future.

---
 doc/user-manual/fpakc_UserManual.pdf | Bin 163741 -> 163776 bytes
 doc/user-manual/fpakc_UserManual.tex |   5 ++++-
 2 files changed, 4 insertions(+), 1 deletion(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index c419e5e9dee9e59f289ad5900d3f113b0b592f47..21e1b47fbea43f6399299e6118427761cf4a4e49 100644
GIT binary patch
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z2nM-L0wUAZ2X;c&y5d4ZLJIx6NjzyJa8r6$>Db9IMfY;o6`9l2xu;8QgiuPh&~rYR
z2B-D3cK-Up;1_ESZ6NLzYy9iw0&L(=vT-iH?HH1H(TjIqKqPRAd~xyNCN{&Xe)Z-<
z+TGuTaNS(zyR-|<ZAy2$w7U-2i`}i+&GzcQPrP4mx9f+)$Nk~^{?q3*AM|pF>&@o=
H?QZ=S<oTTn

diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index c01f56e..c70f2ab 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -358,7 +358,10 @@ make
                                \end{itemize}
           \item \textbf{meshType}: Character.
                                    Format of mesh file.
-                                   Currently, only the value \textbf{gmsh} is accepted, which makes reference to \Gls{gmsh} v2.0 output format.
+                                   Accepted formats are:
+                                   \begin{itemize}
+                                     \item \textbf{gmsh2}: \Gls{gmsh} file format in version 2.0.
+                                   \end{itemize}
           \item \textbf{meshFile}: Character.
                                    Mesh filename.
                                    This file is searched in the path \textbf{output.path} and must contain the file extension.

From a2631f6b78213ce390ba1bed5d9fb2fa8cf4e285 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sat, 3 Apr 2021 09:20:46 +0200
Subject: [PATCH 023/203] Impliementation of a collision mesh which is
 independent for the mesh used to scatter particles and compute the EM field.

---
 runs/Argon_Expansion/CX_case.json             |   2 +-
 runs/cylFlow/input.json                       |   2 +-
 src/fpakc.f90                                 |  12 +-
 src/modules/mesh/1DCart/moduleMesh1DCart.f90  |  21 +-
 src/modules/mesh/1DRad/moduleMesh1DRad.f90    |  21 +-
 src/modules/mesh/2DCart/moduleMesh2DCart.f90  |  34 +-
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    |  34 +-
 src/modules/mesh/3DCart/moduleMesh3DCart.f90  |  25 +-
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 | 262 +++++++-------
 .../inout/gmsh2/moduleMeshOutputGmsh2.f90     |  20 +-
 src/modules/mesh/moduleMesh.f90               | 330 +++++++++++++-----
 src/modules/moduleCollisions.f90              |   1 +
 src/modules/moduleCompTime.f90                |  13 +-
 src/modules/moduleInject.f90                  |  23 ++
 src/modules/moduleInput.f90                   | 173 +++++----
 src/modules/moduleList.f90                    |   2 +-
 src/modules/moduleOutput.f90                  |   2 +-
 src/modules/moduleSolver.f90                  |  26 +-
 src/modules/moduleSpecies.f90                 |   1 +
 19 files changed, 636 insertions(+), 368 deletions(-)

diff --git a/runs/Argon_Expansion/CX_case.json b/runs/Argon_Expansion/CX_case.json
index 463c8af..d382a5d 100644
--- a/runs/Argon_Expansion/CX_case.json
+++ b/runs/Argon_Expansion/CX_case.json
@@ -3,7 +3,7 @@
     "path": "./runs/Argon_Expansion/",
 	"triggerOutput": 10,
 	"cpuTime": false,
-	"numColl": false,
+	"numColl": true,
 	"folder": "CX_case"
   },
   "geometry": {
diff --git a/runs/cylFlow/input.json b/runs/cylFlow/input.json
index b61af96..77b274c 100644
--- a/runs/cylFlow/input.json
+++ b/runs/cylFlow/input.json
@@ -3,7 +3,7 @@
     "path": "./runs/cylFlow/",
 	"triggerOutput": 10,
 	"cpuTime": true,
-	"numColl": false
+	"numColl": true
   },
   "geometry": {
     "type":     "2DCyl",
diff --git a/src/fpakc.f90 b/src/fpakc.f90
index 3e68a77..4028ba9 100644
--- a/src/fpakc.f90
+++ b/src/fpakc.f90
@@ -4,6 +4,7 @@ PROGRAM fpakc
   USE moduleErrors
   USE moduleInject
   USE moduleSolver
+  USE moduleMesh
   USE moduleCompTime
   USE moduleCaseParam
   USE OMP_LIB
@@ -67,10 +68,19 @@ PROGRAM fpakc
     tColl = omp_get_wtime()
     !$OMP END SINGLE
 
-    CALL doCollisions()
+    IF (ASSOCIATED(meshForMCC)) CALL meshForMCC%doCollisions()
 
     !$OMP SINGLE
     tColl = omp_get_wtime() - tColl
+    
+    !Coulomb scattering
+    tCoul = omp_get_wTime()
+    !$OMP END SINGLE
+
+    IF (ASSOCIATED(mesh%doCoulomb)) CALL mesh%doCoulomb()
+
+    !$OMP SINGLE
+    tCoul = omp_get_wTime() - tCoul
 
     !Reset particles
     tReset = omp_get_wtime()
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 12898d5..a6e4248 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -198,18 +198,19 @@ MODULE moduleMesh1DCart
     !VOLUME FUNCTIONS
     !SEGMENT FUNCTIONS
     !Init segment element
-    SUBROUTINE initVol1DCartSegm(self, n, p)
+    SUBROUTINE initVol1DCartSegm(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
       CLASS(meshVol1DCartSegm), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
+      TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2
 
       self%n = n
-      self%n1 => mesh%nodes(p(1))%obj
-      self%n2 => mesh%nodes(p(2))%obj
+      self%n1 => nodes(p(1))%obj
+      self%n2 => nodes(p(2))%obj
       !Get element coordinates
       r1 = self%n1%getCoordinates()
       r2 = self%n2%getCoordinates()
@@ -525,7 +526,7 @@ MODULE moduleMesh1DCart
     SUBROUTINE connectMesh1DCart(self)
       IMPLICIT NONE
 
-      CLASS(meshParticle), INTENT(inout):: self
+      CLASS(meshGeneric), INTENT(inout):: self
       INTEGER:: e, et
 
       DO e = 1, self%numVols
@@ -538,11 +539,15 @@ MODULE moduleMesh1DCart
 
         END DO
 
-        !Connect Vol-Edge
-        DO et = 1, self%numEdges
-          CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+        SELECT TYPE(self)
+        TYPE IS(meshParticles)
+          !Connect Vol-Edge
+          DO et = 1, self%numEdges
+            CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
 
-        END DO
+          END DO
+
+      END SELECT
 
       END DO
 
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index dc47c62..2bd9d5b 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -200,18 +200,19 @@ MODULE moduleMesh1DRad
     !VOLUME FUNCTIONS
     !SEGMENT FUNCTIONS
     !Init segment element
-    SUBROUTINE initVol1DRadSegm(self, n, p)
+    SUBROUTINE initVol1DRadSegm(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
       CLASS(meshVol1DRadSegm), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
+      TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2
 
       self%n = n
-      self%n1 => mesh%nodes(p(1))%obj
-      self%n2 => mesh%nodes(p(2))%obj
+      self%n1 => nodes(p(1))%obj
+      self%n2 => nodes(p(2))%obj
       !Get element coordinates
       r1 = self%n1%getCoordinates()
       r2 = self%n2%getCoordinates()
@@ -536,7 +537,7 @@ MODULE moduleMesh1DRad
     SUBROUTINE connectMesh1DRad(self)
       IMPLICIT NONE
 
-      CLASS(meshParticle), INTENT(inout):: self
+      CLASS(meshGeneric), INTENT(inout):: self
       INTEGER:: e, et
 
       DO e = 1, self%numVols
@@ -549,11 +550,15 @@ MODULE moduleMesh1DRad
 
         END DO
 
-        !Connect Vol-Edge
-        DO et = 1, self%numEdges
-          CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+        SELECT TYPE(self)
+        TYPE IS(meshParticles)
+          !Connect Vol-Edge
+          DO et = 1, self%numEdges
+            CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
 
-        END DO
+          END DO
+
+        END SELECT
 
       END DO
 
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 11e6454..89704d6 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -283,20 +283,21 @@ MODULE moduleMesh2DCart
     !VOLUME FUNCTIONS
     !QUAD FUNCTIONS
     !Inits quadrilateral element
-    SUBROUTINE initVolQuad2DCart(self, n, p)
+    SUBROUTINE initVolQuad2DCart(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
       CLASS(meshVol2DCartQuad), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
+      TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3, r4
 
       self%n  = n
-      self%n1 => mesh%nodes(p(1))%obj
-      self%n2 => mesh%nodes(p(2))%obj
-      self%n3 => mesh%nodes(p(3))%obj
-      self%n4 => mesh%nodes(p(4))%obj
+      self%n1 => nodes(p(1))%obj
+      self%n2 => nodes(p(2))%obj
+      self%n3 => nodes(p(3))%obj
+      self%n4 => nodes(p(4))%obj
       !Get element coordinates
       r1 = self%n1%getCoordinates()
       r2 = self%n2%getCoordinates()
@@ -631,22 +632,23 @@ MODULE moduleMesh2DCart
 
     !TRIA ELEMENT
     !Init tria element
-    SUBROUTINE initVolTria2DCart(self, n, p)
+    SUBROUTINE initVolTria2DCart(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
       CLASS(meshVol2DCartTria), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
+      TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3
 
       !Assign node index
       self%n = n
 
       !Assign nodes to element
-      self%n1 => mesh%nodes(p(1))%obj
-      self%n2 => mesh%nodes(p(2))%obj
-      self%n3 => mesh%nodes(p(3))%obj
+      self%n1 => nodes(p(1))%obj
+      self%n2 => nodes(p(2))%obj
+      self%n3 => nodes(p(3))%obj
       !Get element coordinates
       r1 = self%n1%getCoordinates()
       r2 = self%n2%getCoordinates()
@@ -1022,7 +1024,7 @@ MODULE moduleMesh2DCart
     SUBROUTINE connectMesh2DCart(self)
       IMPLICIT NONE
 
-      CLASS(meshParticle), INTENT(inout):: self
+      CLASS(meshGeneric), INTENT(inout):: self
       INTEGER:: e, et
 
       DO e = 1, self%numVols
@@ -1035,11 +1037,15 @@ MODULE moduleMesh2DCart
 
         END DO
 
-        !Connect Vol-Edge
-        DO et = 1, self%numEdges
-          CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+        SELECT TYPE(self)
+        TYPE IS(meshParticles)
+          !Connect Vol-Edge
+          DO et = 1, self%numEdges
+            CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
 
-        END DO
+          END DO
+
+        END SELECT
 
       END DO
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 362380d..2784414 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -271,20 +271,21 @@ MODULE moduleMesh2DCyl
     !VOLUME FUNCTIONS
     !QUAD FUNCTIONS
     !Inits quadrilateral element
-    SUBROUTINE initVolQuad2DCyl(self, n, p)
+    SUBROUTINE initVolQuad2DCyl(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
       CLASS(meshVol2DCylQuad), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
+      TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3, r4
 
       self%n  = n
-      self%n1 => mesh%nodes(p(1))%obj
-      self%n2 => mesh%nodes(p(2))%obj
-      self%n3 => mesh%nodes(p(3))%obj
-      self%n4 => mesh%nodes(p(4))%obj
+      self%n1 => nodes(p(1))%obj
+      self%n2 => nodes(p(2))%obj
+      self%n3 => nodes(p(3))%obj
+      self%n4 => nodes(p(4))%obj
       !Get element coordinates
       r1 = self%n1%getCoordinates()
       r2 = self%n2%getCoordinates()
@@ -652,22 +653,23 @@ MODULE moduleMesh2DCyl
 
     !TRIA ELEMENT
     !Init tria element
-    SUBROUTINE initVolTria2DCyl(self, n, p)
+    SUBROUTINE initVolTria2DCyl(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
       CLASS(meshVol2DCylTria), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
+      TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3
 
       !Assign node index
       self%n = n
 
       !Assign nodes to element
-      self%n1 => mesh%nodes(p(1))%obj
-      self%n2 => mesh%nodes(p(2))%obj
-      self%n3 => mesh%nodes(p(3))%obj
+      self%n1 => nodes(p(1))%obj
+      self%n2 => nodes(p(2))%obj
+      self%n3 => nodes(p(3))%obj
       !Get element coordinates
       r1 = self%n1%getCoordinates()
       r2 = self%n2%getCoordinates()
@@ -1052,7 +1054,7 @@ MODULE moduleMesh2DCyl
     SUBROUTINE connectMesh2DCyl(self)
       IMPLICIT NONE
 
-      CLASS(meshParticle), INTENT(inout):: self
+      CLASS(meshGeneric), INTENT(inout):: self
       INTEGER:: e, et
 
       DO e = 1, self%numVols
@@ -1065,11 +1067,15 @@ MODULE moduleMesh2DCyl
 
         END DO
 
-        !Connect Vol-Edge
-        DO et = 1, self%numEdges
-          CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+        SELECT TYPE(self)
+        TYPE IS(meshParticles)
+          !Connect Vol-Edge
+          DO et = 1, self%numEdges
+            CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
 
-        END DO
+          END DO
+
+        END SELECT
 
       END DO
 
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 3e3b970..ad5c65d 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -248,21 +248,22 @@ MODULE moduleMesh3DCart
     !VOLUME FUNCTIONS
     !TETRA FUNCTIONS
     !Inits tetrahedron element
-    SUBROUTINE initVolTetra3DCart(self, n, p)
+    SUBROUTINE initVolTetra3DCart(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
       CLASS(meshVol3DCartTetra), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
+      TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3, r4 !Positions of each node
       REAL(8):: volNodes(1:4) !Volume of each node
 
       self%n  = n
-      self%n1 => mesh%nodes(p(1))%obj
-      self%n2 => mesh%nodes(p(2))%obj
-      self%n3 => mesh%nodes(p(3))%obj
-      self%n4 => mesh%nodes(p(4))%obj
+      self%n1 => nodes(p(1))%obj
+      self%n2 => nodes(p(2))%obj
+      self%n3 => nodes(p(3))%obj
+      self%n4 => nodes(p(4))%obj
       !Get element coordinates
       r1 = self%n1%getCoordinates()
       r2 = self%n2%getCoordinates()
@@ -707,7 +708,7 @@ MODULE moduleMesh3DCart
     SUBROUTINE connectMesh3DCart(self)
       IMPLICIT NONE
 
-      CLASS(meshParticle), INTENT(inout):: self
+      CLASS(meshGeneric), INTENT(inout):: self
       INTEGER:: e, et
 
       DO e = 1, self%numVols
@@ -720,11 +721,15 @@ MODULE moduleMesh3DCart
 
         END DO
 
-        !Connect Vol-Edge
-        DO et = 1, self%numEdges
-          CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+        SELECT TYPE(self)
+        TYPE IS(meshParticles)
+          !Connect Vol-Edge
+          DO et = 1, self%numEdges
+            CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
 
-        END DO
+          END DO
+
+        END SELECT
 
       END DO
 
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index 7cfdb01..59d7064 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -7,11 +7,15 @@ MODULE moduleMeshInputGmsh2
       USE moduleMeshOutputGmsh2
       IMPLICIT NONE
 
-      TYPE(meshParticle), INTENT(inout):: self
+      CLASS(meshGeneric), INTENT(inout), TARGET:: self
 
-      self%printOutput => printOutputGmsh2
-      self%printColl   => printCollGmsh2
-      self%printEM     => printEMGmsh2
+      IF (ASSOCIATED(meshForMCC, self)) self%printColl => printCollGmsh2
+      SELECT TYPE(self)
+      TYPE IS(meshParticles)
+        self%printOutput => printOutputGmsh2
+        self%printEM     => printEMGmsh2
+
+      END SELECT
       self%readMesh    => readGmsh2
 
     END SUBROUTINE initGmsh2
@@ -26,12 +30,13 @@ MODULE moduleMeshInputGmsh2
       USE moduleBoundary
       IMPLICIT NONE
 
-      CLASS(meshParticle), INTENT(inout):: self
+      CLASS(meshGeneric), INTENT(inout):: self
       CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
-      REAL(8):: x1, x2, x3 !3 generic coordinates
+      REAL(8):: r(1:3) !3 generic coordinates
       INTEGER, ALLOCATABLE:: p(:) !Array for nodes
       INTEGER:: e = 0, n = 0, eTemp = 0, elemType = 0, bt = 0
       INTEGER:: totalNumElem
+      INTEGER:: numEdges
       INTEGER:: boundaryType
 
       !Read mesh
@@ -48,39 +53,44 @@ MODULE moduleMeshInputGmsh2
 
       !Allocate required matrices and vectors
       ALLOCATE(self%nodes(1:self%numNodes))
-      ALLOCATE(self%K(1:self%numNodes, 1:self%numNodes))
-      ALLOCATE(self%IPIV(1:self%numNodes, 1:self%numNodes))
-      self%K = 0.D0
-      self%IPIV = 0
+      SELECT TYPE(self)
+      TYPE IS(meshParticles)
+        ALLOCATE(self%K(1:self%numNodes, 1:self%numNodes))
+        ALLOCATE(self%IPIV(1:self%numNodes, 1:self%numNodes))
+        self%K = 0.D0
+        self%IPIV = 0
+
+      END SELECT
 
       !Read the nodes information
       DO e = 1, self%numNodes
-        READ(10, *) n, x1, x2, x3
+        READ(10, *) n, r(1), r(2), r(3)
         SELECT CASE(self%geometry)
         CASE("3DCart")
           ALLOCATE(meshNode3Dcart::self%nodes(n)%obj)
-          CALL self%nodes(n)%obj%init(n, (/x1, x2, x3 /))
 
         CASE("2DCyl")
           ALLOCATE(meshNode2DCyl:: self%nodes(n)%obj)
-          CALL self%nodes(n)%obj%init(n, (/x1, x2, 0.D0 /))
+          r(3) = 0.D0
 
         CASE("2DCart")
           ALLOCATE(meshNode2DCart:: self%nodes(n)%obj)
-          CALL self%nodes(n)%obj%init(n, (/x1, x2, 0.D0 /))
+          r(3) = 0.D0
 
         CASE("1DRad")
           ALLOCATE(meshNode1DRad:: self%nodes(n)%obj)
-          CALL self%nodes(n)%obj%init(n, (/x1, 0.D0, 0.D0 /))
+          r(2:3) = 0.D0
 
         CASE("1DCart")
           ALLOCATE(meshNode1DCart:: self%nodes(n)%obj)
-          CALL self%nodes(n)%obj%init(n, (/x1, 0.D0, 0.D0 /))
+          r(2:3) = 0.D0
 
         END SELECT
+        CALL self%nodes(n)%obj%init(n, r)
 
       END DO
 
+
       !Skip comments
       READ(10, *)
       READ(10, *)
@@ -89,118 +99,116 @@ MODULE moduleMeshInputGmsh2
       READ(10, *) totalNumElem
 
       !conts edges and volume elements
-      self%numEdges = 0
-      DO e = 1, totalNumElem
-        READ(10, *) eTemp, elemType
-        SELECT CASE(self%geometry)
-        CASE("3DCart")
-          !Element type 2 is triangle in gmsh
-          IF (elemType == 2)  self%numEdges = e
+      SELECT TYPE(self)
+      TYPE IS(meshParticles)
+        self%numEdges = 0
+        DO e = 1, totalNumElem
+          READ(10, *) eTemp, elemType
+          SELECT CASE(self%geometry)
+          CASE("3DCart")
+            !Element type 2 is triangle in gmsh
+            IF (elemType == 2)  self%numEdges = e
 
-        CASE("2DCyl","2DCart")
-          !Element type 1 is segment in Gmsh
-          IF (elemType == 1)  self%numEdges = e
+          CASE("2DCyl","2DCart")
+            !Element type 1 is segment in Gmsh
+            IF (elemType == 1)  self%numEdges = e
 
-        CASE("1DRad","1DCart")
-          !Element type 15 is physical point in Gmsh
-          IF (elemType == 15) self%numEdges = e
-
-        END SELECT
-
-      END DO
-      !Substract the number of edges to the total number of elements
-      !to obtain the number of volume elements
-      self%numVols = TotalnumElem - self%numEdges
-      !Allocates arrays
-      ALLOCATE(self%edges(1:self%numEdges))
-      ALLOCATE(self%vols(1:self%numVols))
-
-      !Go back to the beggining to read elements
-      DO e=1, totalNumElem
-        BACKSPACE(10)
-      END DO
-
-      !Reads edges
-      DO e=1, self%numEdges
-        !Reads the edge according to the geometry
-        SELECT CASE(self%geometry)
-        CASE("3DCart")
-          READ(10, *) n, elemType, eTemp, boundaryType
-          BACKSPACE(10)
-
-          !Associate boundary condition procedure.
-          bt = getBoundaryID(boundaryType)
-
-          SELECT CASE(elemType)
-          CASE(2)
-            !Triangular surface
-            ALLOCATE(p(1:3))
-
-            READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1:3)
-
-            ALLOCATE(meshEdge3DCartTria:: self%edges(e)%obj)
-
-            CALL self%edges(e)%obj%init(n, p(1:3), bt, boundaryType)
-
-            DEALLOCATE(p)
+          CASE("1DRad","1DCart")
+            !Element type 15 is physical point in Gmsh
+            IF (elemType == 15) self%numEdges = e
 
           END SELECT
 
-        CASE("2DCyl")
-          ALLOCATE(p(1:2))
+        END DO
 
-          READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
-          !Associate boundary condition procedure.
-          bt = getBoundaryId(boundaryType)
+        !Substract the number of edges to the total number of elements
+        !to obtain the number of volume elements
+        self%numVols = TotalnumElem - self%numEdges
+        ALLOCATE(self%edges(1:self%numEdges))
+        numEdges = self%numEdges
 
-          ALLOCATE(meshEdge2DCyl:: self%edges(e)%obj)
+        !Go back to the beggining to read elements
+        DO e=1, totalNumElem
+          BACKSPACE(10)
+        END DO
 
-          CALL self%edges(e)%obj%init(n, p(1:2), bt, boundaryType)
+      TYPE IS(meshCollisions)
+        self%numVols = TotalnumElem
+        numEdges = 0
 
+      END SELECT
+
+      !Allocates arrays
+      ALLOCATE(self%vols(1:self%numVols))
+
+      SELECT TYPE(self)
+      TYPE IS(meshParticles)
+        !Reads edges
+        DO e=1, self%numEdges
+          !Reads the edge according to the geometry
+          SELECT CASE(self%geometry)
+          CASE("3DCart")
+            READ(10, *) n, elemType, eTemp, boundaryType
+            BACKSPACE(10)
+
+            !Associate boundary condition procedure.
+            bt = getBoundaryID(boundaryType)
+
+            SELECT CASE(elemType)
+            CASE(2)
+              !Triangular surface
+              ALLOCATE(p(1:3))
+
+              READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1:3)
+
+              ALLOCATE(meshEdge3DCartTria:: self%edges(e)%obj)
+
+            END SELECT
+
+          CASE("2DCyl")
+            ALLOCATE(p(1:2))
+
+            READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
+            !Associate boundary condition procedure.
+            bt = getBoundaryId(boundaryType)
+
+            ALLOCATE(meshEdge2DCyl:: self%edges(e)%obj)
+
+          CASE("2DCart")
+            ALLOCATE(p(1:2))
+
+            READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
+            !Associate boundary condition procedure.
+            bt = getBoundaryId(boundaryType)
+
+            ALLOCATE(meshEdge2DCart:: self%edges(e)%obj)
+
+          CASE("1DRad")
+            ALLOCATE(p(1:1))
+
+            READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
+            !Associate boundary condition 
+            bt = getBoundaryId(boundaryType)
+
+            ALLOCATE(meshEdge1DRad:: self%edges(e)%obj)
+
+          CASE("1DCart")
+            ALLOCATE(p(1:1))
+
+            READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
+            !Associate boundary condition 
+            bt = getBoundaryId(boundaryType)
+
+            ALLOCATE(meshEdge1DCart:: self%edges(e)%obj)
+
+          END SELECT
+
+          CALL self%edges(e)%obj%init(n, p, bt, boundaryType)
           DEALLOCATE(p)
 
-        CASE("2DCart")
-          ALLOCATE(p(1:2))
+        END DO
 
-          READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
-          !Associate boundary condition procedure.
-          bt = getBoundaryId(boundaryType)
-
-          ALLOCATE(meshEdge2DCart:: self%edges(e)%obj)
-
-          CALL self%edges(e)%obj%init(n, p(1:2), bt, boundaryType)
-
-          DEALLOCATE(p)
-
-        CASE("1DRad")
-          ALLOCATE(p(1:1))
-
-          READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
-          !Associate boundary condition 
-          bt = getBoundaryId(boundaryType)
-
-          ALLOCATE(meshEdge1DRad:: self%edges(e)%obj)
-
-          CALL self%edges(e)%obj%init(n, p(1:1), bt, boundaryType)
-
-          DEALLOCATE(p)
-
-        CASE("1DCart")
-          ALLOCATE(p(1:1))
-
-          READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
-          !Associate boundary condition 
-          bt = getBoundaryId(boundaryType)
-
-          ALLOCATE(meshEdge1DCart:: self%edges(e)%obj)
-
-          CALL self%edges(e)%obj%init(n, p(1:1), bt, boundaryType)
-
-          DEALLOCATE(p)
-
-        END SELECT
-
-      END DO
+      END SELECT
 
       !Read and initialize volumes
       DO e = 1, self%numVols
@@ -216,12 +224,9 @@ MODULE moduleMeshInputGmsh2
             ALLOCATE(p(1:4))
             READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:4)
             ALLOCATE(meshVol3DCartTetra::  self%vols(e)%obj)
-            CALL self%vols(e)%obj%init(n - self%numEdges, p(1:4))
 
           END SELECT
 
-          DEALLOCATE(p)
-
         CASE("2DCyl")
           READ(10,*) n, elemType
           BACKSPACE(10)
@@ -232,19 +237,15 @@ MODULE moduleMeshInputGmsh2
             ALLOCATE(p(1:3))
             READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:3)
             ALLOCATE(meshVol2DCylTria:: self%vols(e)%obj)
-            CALL self%vols(e)%obj%init(n - self%numEdges, p(1:3))
 
           CASE (3)
             !Quadrilateral element
             ALLOCATE(p(1:4))
             READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:4)
             ALLOCATE(meshVol2DCylQuad:: self%vols(e)%obj)
-            CALL self%vols(e)%obj%init(n - self%numEdges, p(1:4))
 
           END SELECT
 
-          DEALLOCATE(p)
-
         CASE("2DCart")
           READ(10,*) n, elemType
           BACKSPACE(10)
@@ -255,41 +256,36 @@ MODULE moduleMeshInputGmsh2
             ALLOCATE(p(1:3))
             READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:3)
             ALLOCATE(meshVol2DCartTria:: self%vols(e)%obj)
-            CALL self%vols(e)%obj%init(n - self%numEdges, p(1:3))
 
           CASE (3)
             !Quadrilateral element
             ALLOCATE(p(1:4))
             READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:4)
             ALLOCATE(meshVol2DCartQuad:: self%vols(e)%obj)
-            CALL self%vols(e)%obj%init(n - self%numEdges, p(1:4))
 
           END SELECT
 
-          DEALLOCATE(p)
-
         CASE("1DRad")
           ALLOCATE(p(1:2))
 
           READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:2)
           ALLOCATE(meshVol1DRadSegm:: self%vols(e)%obj)
-          CALL self%vols(e)%obj%init(n - self%numEdges, p(1:2))
-
-          DEALLOCATE(p)
 
         CASE("1DCart")
           ALLOCATE(p(1:2))
 
           READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:2)
           ALLOCATE(meshVol1DCartSegm:: self%vols(e)%obj)
-          CALL self%vols(e)%obj%init(n - self%numEdges, p(1:2))
-
-          DEALLOCATE(p)
 
         END SELECT
 
+        CALL self%vols(e)%obj%init(n - numEdges, p, self%nodes)
+        DEALLOCATE(p)
+
       END DO
 
+      CLOSE(10)
+
     END SUBROUTINE readGmsh2
 
 END MODULE moduleMeshInputGmsh2
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index 902206d..bec5449 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -9,7 +9,7 @@ MODULE moduleMeshOutputGmsh2
       USE moduleOutput
       IMPLICIT NONE
 
-      CLASS(meshParticle), INTENT(in):: self
+      CLASS(meshParticles), INTENT(in):: self
       INTEGER, INTENT(in):: t
       INTEGER:: n, i
       TYPE(outputFormat):: output(1:self%numNodes)
@@ -95,13 +95,25 @@ MODULE moduleMeshOutputGmsh2
       USE moduleOutput
       IMPLICIT NONE
 
-      CLASS(meshParticle), INTENT(in):: self
+      CLASS(meshGeneric), INTENT(in):: self
+      INTEGER:: numEdges
       INTEGER, INTENT(in):: t
       INTEGER:: n
       REAL(8):: time
       CHARACTER(:), ALLOCATABLE:: fileName
       CHARACTER (LEN=iterationDigits):: tstring
 
+      SELECT TYPE(self)
+      TYPE IS(meshParticles)
+        numEdges = self%numEdges
+
+      TYPE IS(meshCollisions)
+        numEdges = 0
+
+      CLASS DEFAULT
+        numEdges = 0
+
+      END SELECT
 
       IF (collOutput) THEN
         time = DBLE(t)*tauMin*ti_ref
@@ -123,7 +135,7 @@ MODULE moduleMeshOutputGmsh2
         WRITE(60, *) 1
         WRITE(60, *) self%numVols
         DO n=1, self%numVols
-          WRITE(60, "(I6,I10)") n + self%numEdges, self%vols(n)%obj%nColl
+          WRITE(60, "(I6,I10)") n + numEdges, self%vols(n)%obj%nColl
         END DO
         WRITE(60, "(A)") '$EndElementData'
 
@@ -141,7 +153,7 @@ MODULE moduleMeshOutputGmsh2
       USE moduleOutput
       IMPLICIT NONE
 
-      CLASS(meshParticle), INTENT(in):: self
+      CLASS(meshParticles), INTENT(in):: self
       INTEGER, INTENT(in):: t
       INTEGER:: n, e
       REAL(8):: time
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index e80b957..93c53d4 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -65,6 +65,8 @@ MODULE moduleMesh
   TYPE, PUBLIC, ABSTRACT, EXTENDS(meshElement):: meshEdge
     !Connectivity to vols
     CLASS(meshVol), POINTER:: e1 => NULL(), e2 => NULL()
+    !Connectivity to vols in meshColl
+    CLASS(meshVol), POINTER:: eColl => NULL()
     !Normal vector
     REAL(8):: normal(1:3)
     !Weight for random injection of particles
@@ -153,8 +155,6 @@ MODULE moduleMesh
     INTEGER(KIND=OMP_LOCK_KIND):: lock
     !Number of collisions per volume
     INTEGER:: nColl = 0
-    !Collisional fraction
-    REAL(8):: collFrac = 0.D0
     !Total weight of particles inside cell
     REAL(8):: totalWeight = 0.D0
     CONTAINS
@@ -169,16 +169,17 @@ MODULE moduleMesh
       PROCEDURE(phy2log_interface),     DEFERRED, PASS::   phy2log
       PROCEDURE(inside_interface),      DEFERRED, NOPASS:: inside
       PROCEDURE(nextElement_interface), DEFERRED, PASS::   nextElement
-      PROCEDURE,                                  PASS::   collision
 
   END TYPE meshVol
 
   ABSTRACT INTERFACE
-    SUBROUTINE initVol_interface(self, n, p)
+    SUBROUTINE initVol_interface(self, n, p, nodes)
       IMPORT:: meshVol
+      IMPORT meshNodeCont
       CLASS(meshVol), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
+      TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
 
     END SUBROUTINE initVol_interface
 
@@ -260,80 +261,143 @@ MODULE moduleMesh
 
   END TYPE meshVolCont
 
-  !Particle mesh
-  TYPE, PUBLIC:: meshParticle
-    INTEGER:: numEdges, numNodes, numVols
-    !Array of nodes
-    TYPE(meshNodeCont), ALLOCATABLE:: nodes(:)
-    !Array of boundary elements
-    TYPE(meshEdgeCont), ALLOCATABLE:: edges(:)
-    !Array of volume elements
-    TYPE(meshVolCont),  ALLOCATABLE:: vols(:)
+  !Generic mesh type
+  TYPE, ABSTRACT:: meshGeneric
     !Geometry of the mesh
     CHARACTER(:), ALLOCATABLE:: geometry
+    !Number of elements
+    INTEGER:: numNodes, numVols
+    !Array of nodes
+    TYPE(meshNodeCont), ALLOCATABLE:: nodes(:)
+    !Array of volume elements
+    TYPE(meshVolCont),  ALLOCATABLE:: vols(:)
+    PROCEDURE(readMesh_interface),     POINTER, PASS:: readMesh     => NULL()
+    PROCEDURE(connectMesh_interface),  POINTER, PASS:: connectMesh  => NULL()
+    PROCEDURE(printColl_interface),    POINTER, PASS:: printColl    => NULL()
+    CONTAINS
+      PROCEDURE, PASS:: doCollisions
+
+  END TYPE
+
+  ABSTRACT INTERFACE
+    !Reads the mesh from a file
+    SUBROUTINE readMesh_interface(self, filename)
+      IMPORT meshGeneric
+
+      CLASS(meshGeneric), INTENT(inout):: self
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
+
+    END SUBROUTINE readMesh_interface
+
+    !Connects volume and edges to the mesh
+    SUBROUTINE connectMesh_interface(self)
+      IMPORT meshGeneric
+
+      CLASS(meshGeneric), INTENT(inout):: self
+
+    END SUBROUTINE connectMesh_interface
+
+    !Prints number of collisions in each volume
+    SUBROUTINE printColl_interface(self, t)
+      IMPORT meshGeneric
+
+      CLASS(meshGeneric), INTENT(in):: self
+      INTEGER, INTENT(in):: t
+
+    END SUBROUTINE printColl_interface
+
+  END INTERFACE
+
+  !Particle mesh
+  TYPE, EXTENDS(meshGeneric), PUBLIC:: meshParticles
+    INTEGER:: numEdges
+    !Array of boundary elements
+    TYPE(meshEdgeCont), ALLOCATABLE:: edges(:)
     !Global stiffness matrix
     REAL(8), ALLOCATABLE, DIMENSION(:,:):: K 
     !Permutation matrix for P L U factorization
     INTEGER, ALLOCATABLE, DIMENSION(:,:):: IPIV
     PROCEDURE(printOutput_interface), POINTER, PASS:: printOutput => NULL()
-    PROCEDURE(printColl_interface),   POINTER, PASS:: printColl   => NULL()
     PROCEDURE(printEM_interface),     POINTER, PASS:: printEM     => NULL()
-    PROCEDURE(readMesh_interface),    POINTER, PASS:: readMesh    => NULL()
-    PROCEDURE(connectMesh_interface), POINTER, PASS:: connectMesh => NULL()
+    PROCEDURE(doCoulomb_interface),   POINTER, PASS:: doCoulomb   => NULL()
     CONTAINS
       PROCEDURE, PASS:: constructGlobalK
 
-  END TYPE meshParticle
+  END TYPE meshParticles
 
   ABSTRACT INTERFACE
+    !Perform Coulomb Scattering
+    SUBROUTINE doCoulomb_interface(self)
+      IMPORT meshParticles
+
+      CLASS(meshParticles), INTENT(inout):: self
+
+    END SUBROUTINE doCoulomb_interface
+    
     !Prints Species data
     SUBROUTINE printOutput_interface(self, t)
-      IMPORT meshParticle
+      IMPORT meshParticles
 
-      CLASS(meshParticle), INTENT(in):: self
+      CLASS(meshParticles), INTENT(in):: self
       INTEGER, INTENT(in):: t
 
     END SUBROUTINE printOutput_interface
 
-    !Prints number of collisions
-    SUBROUTINE printColl_interface(self, t)
-      IMPORT meshParticle
-
-      CLASS(meshParticle), INTENT(in):: self
-      INTEGER, INTENT(in):: t
-
-    END SUBROUTINE printColl_interface
-
     !Prints EM info
     SUBROUTINE printEM_interface(self, t)
-      IMPORT meshParticle
+      IMPORT meshParticles
 
-      CLASS(meshParticle), INTENT(in):: self
+      CLASS(meshParticles), INTENT(in):: self
       INTEGER, INTENT(in):: t
 
     END SUBROUTINE printEM_interface
 
-    !Reads the mesh from a file
-    SUBROUTINE readMesh_interface(self, filename)
-      IMPORT meshParticle
-
-      CLASS(meshParticle), INTENT(inout):: self
-      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
-
-    END SUBROUTINE readMesh_interface
-
-    SUBROUTINE connectMesh_interface(self)
-      IMPORT meshParticle
-
-      CLASS(meshParticle), INTENT(inout):: self
-
-    END SUBROUTINE connectMesh_interface
-
 
   END INTERFACE
 
-  !Particle mesh
-  TYPE(meshParticle), TARGET:: mesh
+  TYPE(meshParticles), TARGET:: mesh
+
+  !Collision (MCC) mesh
+  TYPE, EXTENDS(meshGeneric):: meshCollisions
+    CONTAINS
+
+  END TYPE meshCollisions
+
+  TYPE(meshCollisions), TARGET:: meshColl
+
+  ABSTRACT INTERFACE
+    SUBROUTINE readMeshColl_interface(self, filename)
+      IMPORT meshCollisions
+
+      CLASS(meshCollisions), INTENT(inout):: self
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
+
+    END SUBROUTINE readMeshColl_interface
+
+    SUBROUTINE connectMeshColl_interface(self)
+      IMPORT meshParticles
+
+      CLASS(meshParticles), INTENT(inout):: self
+
+    END SUBROUTINE connectMeshColl_interface
+
+  END INTERFACE
+
+  !Pointer to mesh used for MC collisions
+  CLASS(meshGeneric), POINTER:: meshForMCC => NULL()
+
+  !Procedure to find a volume for a particle in meshColl
+  PROCEDURE(findCellColl_interface), POINTER:: findCellColl => NULL()
+
+  ABSTRACT INTERFACE
+    SUBROUTINE findCellColl_interface(part)
+      USE moduleSpecies
+
+      TYPE(particle), INTENT(inout):: part
+
+    END SUBROUTINE findCellColl_interface
+
+  END INTERFACE
 
   CONTAINS
     !Reset the output of node
@@ -362,8 +426,8 @@ MODULE moduleMesh
       IMPLICIT NONE
 
       CLASS(meshVol), INTENT(inout):: self
-      CLASS(meshVol), OPTIONAL, INTENT(in):: oldCell
       CLASS(particle), INTENT(inout), TARGET:: part
+      CLASS(meshVol), OPTIONAL, INTENT(in):: oldCell
       REAL(8):: xi(1:3)
       CLASS(meshElement), POINTER:: nextElement
 
@@ -408,12 +472,96 @@ MODULE moduleMesh
           CALL criticalError("No connectivity found for element", "findCell")
 
         END SELECT
+
       END IF
 
     END SUBROUTINE findCell
 
+    !If Coll and Particle are the same, simply copy the part%vol into part%volColl
+    SUBROUTINE findCellSameMesh(part)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+
+      part%volColl = part%vol
+
+    END SUBROUTINE findCellSameMesh
+
+    !TODO: try to combine this with the findCell for a regular mesh
+    !Find the volume in which particle reside in the mesh for collisions
+    SUBROUTINE findCellCollMesh(part)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      LOGICAL:: found
+      CLASS(meshVol), POINTER:: vol
+      REAL(8), DIMENSION(1:3):: xii
+      CLASS(meshElement), POINTER:: nextElement
+
+      found = .FALSE.
+      
+      vol => meshColl%vols(part%volColl)%obj
+      DO WHILE(.NOT. found)
+        xii = vol%phy2log(part%r)
+        IF (vol%inside(xii)) THEN
+          part%volColl = vol%n
+          CALL OMP_SET_LOCK(vol%lock)
+          CALL vol%listPart_in%add(part)
+          vol%totalWeight = vol%totalWeight + part%weight
+          CALL OMP_UNSET_LOCK(vol%lock)
+          found = .TRUE.
+
+        ELSE
+          CALL vol%nextElement(xii, nextElement)
+          SELECT TYPE(nextElement)
+          CLASS IS(meshVol)
+            !Try next element
+            vol => nextElement
+
+          CLASS DEFAULT
+            !Should never happend, but just in case, stops loops
+            found = .TRUE.
+
+          END SELECT
+
+        END IF
+
+      END DO
+
+    END SUBROUTINE findCellCollMesh
+
+    !Returns index of volume associated to a position (if any)
+    !If no voulme is found, returns 0
+    !WARNING: This function is slow and should only be used in initialization phase
+    FUNCTION findCellBrute(self, r) RESULT(nVol)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshGeneric), INTENT(in):: self
+      REAL(8), DIMENSION(1:3), INTENT(in):: r
+      INTEGER:: nVol
+      INTEGER:: e
+      REAL(8), DIMENSION(1:3):: xii
+
+      !Inits RESULT
+      nVol = 0
+
+      DO e = 1, self%numVols
+        xii = self%vols(e)%obj%phy2log(r)
+        IF(self%vols(e)%obj%inside(xii)) THEN
+          nVol = self%vols(e)%obj%n
+          EXIT
+
+        END IF
+
+      END DO
+
+    END FUNCTION findCellBrute
+
     !Computes collisions in element
-    SUBROUTINE collision(self)
+    SUBROUTINE doCollisions(self)
       USE moduleCollisions
       USE moduleSpecies
       USE moduleList
@@ -421,7 +569,9 @@ MODULE moduleMesh
       USE moduleRandom
       IMPLICIT NONE
 
-      CLASS(meshVol), INTENT(inout):: self
+      CLASS(meshGeneric), INTENT(inout), TARGET:: self
+      INTEGER:: e
+      CLASS(meshVol), POINTER:: vol
       INTEGER:: nPart !Number of particles inside the cell
       REAL(8):: pMax !Maximum probability of collision
       INTEGER:: rnd !random index
@@ -431,57 +581,57 @@ MODULE moduleMesh
       REAL(8):: sigmaVrelMaxNew
       TYPE(pointerArray), ALLOCATABLE:: partTemp(:)
 
-      nPart = self%listPart_in%amount
-      !Computes iterations if there is more than one particle in the cell
-      IF (nPart > 1) THEN
-        !Probability of collision
-        pMax = self%totalWeight*self%sigmaVrelMax*tauMin/self%volume
+      !$OMP DO SCHEDULE(DYNAMIC)
+      DO e=1, self%numVols
+        vol => self%vols(e)%obj
+        nPart = vol%listPart_in%amount
+        !Computes iterations if there is more than one particle in the cell
+        IF (nPart > 1) THEN
+          !Probability of collision
+          pMax = vol%totalWeight*vol%sigmaVrelMax*tauMin/vol%volume
 
-        !Increases the collisional fraction of the cell
-        self%collFrac = self%collFrac + REAL(nPart)*pMax*0.5D0
-        
-        !Number of collisions in the cell
-        self%nColl = FLOOR(self%collFrac)
+          !Number of collisions in the cell
+          vol%nColl = NINT(REAL(nPart)*pMax*0.5D0)
 
-        IF (self%nColl > 0) THEN
-          !Converts the list of particles to an array for easy access
-          partTemp = self%listPart_in%convert2Array()
-
-        END IF
-
-        DO n = 1, self%nColl
-          !Select random numbers
-          rnd = random(1, nPart)
-          part_i => partTemp(rnd)%part
-          rnd = random(1, nPart)
-          part_j => partTemp(rnd)%part
-          ij = interactionIndex(part_i%species%n, part_j%species%n)
-          sigmaVrelMaxNew = 0.D0
-          DO k = 1, interactionMatrix(ij)%amount
-            CALL interactionMatrix(ij)%collisions(k)%obj%collide(self%sigmaVrelMax, sigmaVrelMaxNew, part_i, part_j)
-
-          END DO
-
-          !Update maximum cross section*v_rel per each collision
-          IF (sigmaVrelMaxNew > self%sigmaVrelMax) THEN
-            self%sigmaVrelMax = sigmaVrelMaxNew
+          IF (vol%nColl > 0) THEN
+            !Converts the list of particles to an array for easy access
+            partTemp = vol%listPart_in%convert2Array()
 
           END IF
 
-          !Removes one collision from the collisional fraction
-          self%collFrac = self%collFrac - 1.D0
-            
-        END DO
+          DO n = 1, vol%nColl
+            !Select random numbers
+            rnd = random(1, nPart)
+            part_i => partTemp(rnd)%part
+            rnd = random(1, nPart)
+            part_j => partTemp(rnd)%part
+            ij = interactionIndex(part_i%species%n, part_j%species%n)
+            sigmaVrelMaxNew = 0.D0
+            DO k = 1, interactionMatrix(ij)%amount
+              CALL interactionMatrix(ij)%collisions(k)%obj%collide(vol%sigmaVrelMax, sigmaVrelMaxNew, part_i, part_j)
 
-      END IF
+            END DO
 
-    END SUBROUTINE collision
+            !Update maximum cross section*v_rel per each collision
+            IF (sigmaVrelMaxNew > vol%sigmaVrelMax) THEN
+              vol%sigmaVrelMax = sigmaVrelMaxNew
+
+            END IF
+
+          END DO
+
+        END IF
+
+      END DO
+      !$OMP END DO
+
+    END SUBROUTINE doCollisions
 
     !Constructs the global K matrix
     SUBROUTINE constructGlobalK(self)
       IMPLICIT NONE
 
-      CLASS(meshParticle), INTENT(inout):: self
+      CLASS(meshParticles), INTENT(inout):: self
       INTEGER:: e
       INTEGER, ALLOCATABLE:: n(:)
       REAL(8), ALLOCATABLE:: localK(:,:)
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index 70bef90..73871ce 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -320,6 +320,7 @@ MODULE moduleCollisions
           newElectron%xi      = neutral%xi
           newElectron%n_in    = .TRUE.
           newElectron%vol     = neutral%vol
+          newElectron%volColl = neutral%volColl
           newElectron%weight  = neutral%weight
           newElectron%qm      = electron%qm
 
diff --git a/src/modules/moduleCompTime.f90 b/src/modules/moduleCompTime.f90
index 28273ce..d0a6755 100644
--- a/src/modules/moduleCompTime.f90
+++ b/src/modules/moduleCompTime.f90
@@ -1,11 +1,12 @@
 !Information to calculate computation time
 MODULE moduleCompTime
-  REAL(8):: tStep=0.D0
-  REAL(8):: tPush=0.D0
-  REAL(8):: tReset=0.D0
-  REAL(8):: tColl=0.D0
-  REAL(8):: tWeight=0.D0
-  REAL(8):: tEMField=0.D0
+  REAL(8):: tStep    = 0.D0
+  REAL(8):: tPush    = 0.D0
+  REAL(8):: tReset   = 0.D0
+  REAL(8):: tColl    = 0.D0
+  REAL(8):: tCoul    = 0.D0
+  REAL(8):: tWeight  = 0.D0
+  REAL(8):: tEMField = 0.D0
 
 END MODULE moduleCompTime
 
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 9660aa7..4ce168c 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -86,6 +86,7 @@ MODULE moduleInject
       CHARACTER(:), ALLOCATABLE, INTENT(in):: units
       INTEGER:: e, et
       INTEGER:: phSurface(1:mesh%numEdges)
+      INTEGER:: nVolColl
 
       self%id         =  i
       self%vMod       =  v/v_ref
@@ -125,6 +126,27 @@ MODULE moduleInject
         IF (mesh%edges(e)%obj%physicalSurface == physicalSurface) THEN
           et = et + 1
           self%edges(et) = mesh%edges(e)%obj%n
+          !Assign connectivity between injection edge and meshColl volume
+          IF (ASSOCIATED(meshForMCC, meshColl)) THEN
+            nVolColl = findCellBrute(meshColl, mesh%edges(e)%obj%randPos())
+            IF (nVolColl > 0) THEN
+              mesh%edges(e)%obj%eColl => meshColl%vols(nVolColl)%obj
+
+            ELSE
+              CALL criticalError("No connection between edge and meshColl", "initInject")
+
+            END IF
+
+          ELSE
+            IF (ASSOCIATED(mesh%edges(e)%obj%e1)) THEN
+              mesh%edges(e)%obj%eColl => mesh%edges(e)%obj%e1
+
+            ELSE
+              mesh%edges(e)%obj%eColl => mesh%edges(e)%obj%e2
+
+            END IF
+
+          END IF
 
         END IF
 
@@ -255,6 +277,7 @@ MODULE moduleInject
           CALL criticalError("No Volume associated to edge", 'addParticles') 
 
         END IF
+        partInj(n)%volColl = randomEdge%eColl%n
 
         !Assign particle type
         partInj(n)%species => self%species
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 395d031..9d9de19 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -59,7 +59,7 @@ MODULE moduleInput
       CALL checkStatus(config, "readCase")
 
       !Read injection of particles
-      CALL verboseError('Reading Interactions between species...')
+      CALL verboseError('Reading injection of particles from boundaries...')
       CALL readInject(config)
       CALL checkStatus(config, "readInject")
 
@@ -483,7 +483,6 @@ MODULE moduleInput
       END DO
 
       !Set number of particles to 0 for init state
-      !TODO: In a future, this should include the particles from init states
       nPartOld = 0
 
       !Initialize the lock for the non-analogue (NA) list of particles
@@ -497,6 +496,7 @@ MODULE moduleInput
       USE moduleList
       USE moduleCollisions
       USE moduleErrors
+      USE moduleMesh
       USE OMP_LIB
       USE json_module
       IMPLICIT NONE
@@ -515,74 +515,98 @@ MODULE moduleInput
       REAL(8):: energyThreshold, energyBinding
       CHARACTER(:), ALLOCATABLE:: electron
 
-      CALL initInteractionMatrix(interactionMatrix)
+      !Firstly, checks if the object 'interactions' exists
+      CALL config%info('interactions', found)
+      IF (found) THEN
+        !Checks if MC collisions have been defined
+        CALL config%info('interactions.collisions', found)
+        IF (found) THEN
+          !Checks if a mesh for collisions has been defined
+          !The mesh will be initialized and reader in readGeometry
+          CALL config%info('interactions.meshCollisions', found)
+          IF (found) THEN
+            !Points meshForMCC to the specific mesh defined
+            meshForMCC => meshColl
 
-      !Path for collision cross-section data files
-      CALL config%get('interactions.folderCollisions', pathCollisions, found)
+          ELSE
+            !Points the meshForMCC pointer to the Particles Mesh
+            meshForMCC => mesh
 
-      !Inits lock for list of particles
-      CALL OMP_INIT_LOCK(lockCollisions)
+          END IF
 
-      CALL config%info('interactions.collisions', found, n_children = nInteractions)
-      DO i = 1, nInteractions
-        WRITE(iString, '(I2)') i
-        object = 'interactions.collisions(' // TRIM(iString) // ')'
-        CALL config%get(object // '.species_i', species_i, found)
-        pt_i = speciesName2Index(species_i)
-        CALL config%get(object // '.species_j', species_j, found)
-        pt_j = speciesName2Index(species_j)
-        CALL config%info(object // '.cTypes', found, n_children = nCollisions)
-        ij = interactionIndex(pt_i,pt_j)
-        !Allocates the required number of collisions per each pair of species ij
-        CALL interactionMatrix(ij)%init(nCollisions)
+          !Inits the MCC matrix
+          CALL initInteractionMatrix(interactionMatrix)
 
-        DO k = 1, nCollisions
-          WRITE (kString, '(I2)') k
-          object = 'interactions.collisions(' // TRIM(iString) // ').cTypes(' // TRIM(kString) // ')'
-          !Reads the cross section file
-          CALL config%get(object // '.crossSection', crossSecFile, found)
-          crossSecFilePath = pathCollisions // crossSecFile
-          IF (.NOT. found) CALL criticalError('crossSection not found for ' // object, 'readInteractions')
-          !Reads the type of collision
-          CALL config%get(object // '.type', cType, found)
-          !Initialize collision type and reads required additional data
-          SELECT CASE(cType)
-          CASE ('elastic')
-            !Elastic collision
-            CALL initBinaryElastic(interactionMatrix(ij)%collisions(k)%obj, &
-                                   crossSecFilePath, species(pt_i)%obj%m, species(pt_j)%obj%m)
+          !Path for collision cross-section data files
+          CALL config%get('interactions.folderCollisions', pathCollisions, found)
 
-          CASE ('chargeExchange')
-            !Resonant charge exchange
-            CALL initBinaryChargeExchange(interactionMatrix(ij)%collisions(k)%obj, &
-                                          crossSecFilePath, species(pt_i)%obj%m, species(pt_j)%obj%m)
+          !Inits lock for list of particles
+          CALL OMP_INIT_LOCK(lockCollisions)
 
-          CASE ('ionization')
-            !Electorn impact ionization
-            CALL config%get(object // '.energyThreshold', energyThreshold, found)
-            IF (.NOT. found) CALL criticalError('energyThreshold not found for collision' // object, 'readInteractions')
-            CALL config%get(object // '.electron', electron, found)
-            IF (.NOT. found) CALL criticalError('electron not found for collision' // object, 'readInteractions')
-            CALL initBinaryIonization(interactionMatrix(ij)%collisions(k)%obj, &
-                                      crossSecFilePath, energyThreshold, species(pt_i)%obj%m, species(pt_j)%obj%m, electron)
+          CALL config%info('interactions.collisions', found, n_children = nInteractions)
+          DO i = 1, nInteractions
+            WRITE(iString, '(I2)') i
+            object = 'interactions.collisions(' // TRIM(iString) // ')'
+            CALL config%get(object // '.species_i', species_i, found)
+            pt_i = speciesName2Index(species_i)
+            CALL config%get(object // '.species_j', species_j, found)
+            pt_j = speciesName2Index(species_j)
+            CALL config%info(object // '.cTypes', found, n_children = nCollisions)
+            ij = interactionIndex(pt_i,pt_j)
+            !Allocates the required number of collisions per each pair of species ij
+            CALL interactionMatrix(ij)%init(nCollisions)
 
-          CASE ('recombination')
-            !Electorn impact ionization
-            CALL config%get(object // '.energyBinding', energyBinding, found)
-            IF (.NOT. found) CALL criticalError('energyThreshold not found for collision' // object, 'readInteractions')
-            CALL config%get(object // '.electron', electron, found)
-            IF (.NOT. found) CALL criticalError('electron not found for collision' // object, 'readInteractions')
-            CALL initBinaryRecombination(interactionMatrix(ij)%collisions(k)%obj, &
-                                      crossSecFilePath, energyBinding, species(pt_i)%obj%m, species(pt_j)%obj%m, electron)
+            DO k = 1, nCollisions
+              WRITE (kString, '(I2)') k
+              object = 'interactions.collisions(' // TRIM(iString) // ').cTypes(' // TRIM(kString) // ')'
+              !Reads the cross section file
+              CALL config%get(object // '.crossSection', crossSecFile, found)
+              crossSecFilePath = pathCollisions // crossSecFile
+              IF (.NOT. found) CALL criticalError('crossSection not found for ' // object, 'readInteractions')
+              !Reads the type of collision
+              CALL config%get(object // '.type', cType, found)
+              !Initialize collision type and reads required additional data
+              SELECT CASE(cType)
+              CASE ('elastic')
+                !Elastic collision
+                CALL initBinaryElastic(interactionMatrix(ij)%collisions(k)%obj, &
+                                       crossSecFilePath, species(pt_i)%obj%m, species(pt_j)%obj%m)
 
-          CASE DEFAULT
-            CALL criticalError('Collision type' // cType // 'not defined yet', 'readInteractions')
+              CASE ('chargeExchange')
+                !Resonant charge exchange
+                CALL initBinaryChargeExchange(interactionMatrix(ij)%collisions(k)%obj, &
+                                              crossSecFilePath, species(pt_i)%obj%m, species(pt_j)%obj%m)
 
-          END SELECT
+              CASE ('ionization')
+                !Electorn impact ionization
+                CALL config%get(object // '.energyThreshold', energyThreshold, found)
+                IF (.NOT. found) CALL criticalError('energyThreshold not found for collision' // object, 'readInteractions')
+                CALL config%get(object // '.electron', electron, found)
+                IF (.NOT. found) CALL criticalError('electron not found for collision' // object, 'readInteractions')
+                CALL initBinaryIonization(interactionMatrix(ij)%collisions(k)%obj, &
+                                          crossSecFilePath, energyThreshold, species(pt_i)%obj%m, species(pt_j)%obj%m, electron)
 
-        END DO
+              CASE ('recombination')
+                !Electorn impact ionization
+                CALL config%get(object // '.energyBinding', energyBinding, found)
+                IF (.NOT. found) CALL criticalError('energyThreshold not found for collision' // object, 'readInteractions')
+                CALL config%get(object // '.electron', electron, found)
+                IF (.NOT. found) CALL criticalError('electron not found for collision' // object, 'readInteractions')
+                CALL initBinaryRecombination(interactionMatrix(ij)%collisions(k)%obj, &
+                                          crossSecFilePath, energyBinding, species(pt_i)%obj%m, species(pt_j)%obj%m, electron)
 
-      END DO
+              CASE DEFAULT
+                CALL criticalError('Collision type' // cType // 'not defined yet', 'readInteractions')
+
+              END SELECT
+
+            END DO
+
+          END DO
+
+        END IF
+
+      END IF
 
     END SUBROUTINE readInteractions
 
@@ -702,17 +726,23 @@ MODULE moduleInput
 
       TYPE(json_file), INTENT(inout):: config
       LOGICAL:: found
+      LOGICAL:: doubleMesh
       CHARACTER(:), ALLOCATABLE:: meshFormat, meshFile
       CHARACTER(:), ALLOCATABLE:: fullPath
 
+      !Firstly, indicates if a specific mesh for MC collisions is being use
+      doubleMesh = ASSOCIATED(meshForMCC, meshColl)
+
       !Selects the type of geometry.
       CALL config%get('geometry.type', mesh%geometry, found)
+      IF (doubleMesh) meshColl%geometry = mesh%geometry
 
       !Gets the type of mesh
       CALL config%get('geometry.meshType', meshFormat, found)
       SELECT CASE(meshFormat)
       CASE ("gmsh2")
         CALL initGmsh2(mesh)
+        IF (doubleMesh) CALL initGmsh2(meshColl)
 
       CASE DEFAULT
         CALL criticalError("Mesh format " // meshFormat // " not recogniced", "readGeometry")
@@ -723,6 +753,14 @@ MODULE moduleInput
       CALL config%get('geometry.meshFile', meshFile, found)
       fullpath = path // meshFile
       CALL mesh%readMesh(fullPath)
+      DEALLOCATE(fullPath, meshFile)
+      IF (doubleMesh) THEN
+        !Reads the mesh file for collisions
+        CALL config%get('interactions.meshCollisions', meshFile, found)
+        fullpath = path // meshFile
+        CALL meshColl%readMesh(fullPath)
+
+      END IF
 
       !Creates the connectivity between elements
       SELECT CASE(mesh%geometry)
@@ -744,9 +782,24 @@ MODULE moduleInput
       END SELECT
       CALL mesh%connectMesh
 
-      !Builds the K matrix
+      IF (doubleMesh) THEN
+        meshColl%connectMesh => mesh%connectMesh
+        CALL meshColl%connectMesh
+
+      END IF
+
+      !Builds the K matrix for the Particles mesh
       CALL mesh%constructGlobalK()
 
+      !Assign the procedure to find a volume for meshColl
+      IF (doubleMesh) THEN
+        findCellColl => findCellCollMesh
+
+      ELSE
+        findCellColl => findCellSameMesh
+
+      END IF
+
     END SUBROUTINE readGeometry
 
     SUBROUTINE readEMBoundary(config)
diff --git a/src/modules/moduleList.f90 b/src/modules/moduleList.f90
index c08061a..acdd1de 100644
--- a/src/modules/moduleList.f90
+++ b/src/modules/moduleList.f90
@@ -10,7 +10,7 @@ MODULE moduleList
   END TYPE lNode
 
   TYPE listNode
-    INTEGER:: amount = 0!TODO: Make private
+    INTEGER:: amount = 0
     TYPE(lNode),POINTER:: head => NULL()
     TYPE(lNode),POINTER:: tail => NULL()
     CONTAINS
diff --git a/src/modules/moduleOutput.f90 b/src/modules/moduleOutput.f90
index 963302d..a9efdc4 100644
--- a/src/modules/moduleOutput.f90
+++ b/src/modules/moduleOutput.f90
@@ -109,7 +109,7 @@ MODULE moduleOutput
 
         END IF
 
-        WRITE (20, "(I10, I10, 6(ES20.6E3))") t, nPartOld, tStep, tPush, tReset, tColl, tWeight, tEMField
+        WRITE (20, "(I10, I10, 7(ES20.6E3))") t, nPartOld, tStep, tPush, tReset, tColl, tCoul, tWeight, tEMField
 
         CLOSE(20)
 
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index b549104..089ae71 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -483,21 +483,6 @@ MODULE moduleSolver
 
     END SUBROUTINE push1DRadCharged
 
-    !Do the collisions in all the cells
-    SUBROUTINE doCollisions()
-      USE moduleMesh
-      IMPLICIT NONE
-
-      INTEGER:: e
-
-      !$OMP DO SCHEDULE(DYNAMIC)
-      DO e=1, mesh%numVols
-        CALL mesh%vols(e)%obj%collision()
-      END DO
-      !$OMP END DO
-
-    END SUBROUTINE doCollisions
-    
     SUBROUTINE doReset()
       USE moduleSpecies
       USE moduleMesh
@@ -623,6 +608,14 @@ MODULE moduleSolver
 
       END DO
 
+      !$OMP SECTION
+      !Erase the list of particles inside the cell in coll mesh
+      DO e = 1, meshColl%numVols
+        meshColl%vols(e)%obj%totalWeight = 0.D0
+        CALL meshColl%vols(e)%obj%listPart_in%erase()
+
+      END DO
+
       !$OMP END SECTIONS
 
       !$OMP SINGLE
@@ -788,6 +781,7 @@ MODULE moduleSolver
 
       volOld => mesh%vols(part%vol)%obj
       CALL volOld%findCell(part)
+      CALL findCellColl(part)
       volNew => mesh%vols(part%vol)%obj
       !Call the NA shcme
       IF (ASSOCIATED(self%weightingScheme)) THEN
@@ -831,7 +825,7 @@ MODULE moduleSolver
         counterOutput=0
 
         CALL mesh%printOutput(t)
-        CALL mesh%printColl(t)
+        IF (ASSOCIATED(meshForMCC)) CALL meshForMCC%printColl(t)
         CALL mesh%printEM(t)
         WRITE(*, "(5X,A21,I10,A1,I10)") "t/tmax: ",    t,       "/", tmax
         WRITE(*, "(5X,A21,I10)")        "Particles: ", nPartOld
diff --git a/src/modules/moduleSpecies.f90 b/src/modules/moduleSpecies.f90
index 7d89e3b..39c1b20 100644
--- a/src/modules/moduleSpecies.f90
+++ b/src/modules/moduleSpecies.f90
@@ -39,6 +39,7 @@ MODULE moduleSpecies
     REAL(8):: v(1:3) !Velocity
     CLASS(speciesGeneric), POINTER:: species !Pointer to species associated with this particle
     INTEGER:: vol !Index of element in which the particle is located
+    INTEGER:: volColl !Index of element in which the particle is located in the Collision Mesh
     REAL(8):: xi(1:3) !Logical coordinates of particle in element e_p.
     LOGICAL:: n_in !Flag that indicates if a particle is in the domain
     REAL(8):: weight=0.D0 !weight of particle

From cbcefb06c8c920fe39137677fa9fa8d0a1f06e3d Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 5 Apr 2021 09:45:57 +0200
Subject: [PATCH 024/203] Final implementation of a specific mesh for MCC,
 added a case for cylFlow that used two meshes and the User Manual has been
 updated.

---
 doc/user-manual/bibliography.bib     |   82 +-
 doc/user-manual/fpakc_UserManual.pdf |  Bin 163776 -> 168123 bytes
 doc/user-manual/fpakc_UserManual.tex |  188 +-
 runs/cylFlow/input.json              |    4 +-
 runs/cylFlow/inputDualMesh.json      |   64 +
 runs/cylFlow/mesh.geo                |    9 +-
 runs/cylFlow/mesh.msh                | 3750 +++++++++++------------
 runs/cylFlow/meshColl.geo            |   73 +
 runs/cylFlow/meshColl.msh            | 3974 ++++++++++++++++++++++++
 runs/cylFlow/meshSingle.geo          |   79 +
 runs/cylFlow/meshSingle.msh          | 4182 ++++++++++++++++++++++++++
 src/modules/mesh/moduleMesh.f90      |   53 +-
 src/modules/moduleMath.f90           |   10 +
 13 files changed, 10451 insertions(+), 2017 deletions(-)
 create mode 100644 runs/cylFlow/inputDualMesh.json
 create mode 100644 runs/cylFlow/meshColl.geo
 create mode 100644 runs/cylFlow/meshColl.msh
 create mode 100644 runs/cylFlow/meshSingle.geo
 create mode 100644 runs/cylFlow/meshSingle.msh

diff --git a/doc/user-manual/bibliography.bib b/doc/user-manual/bibliography.bib
index e47b75d..0ef1811 100644
--- a/doc/user-manual/bibliography.bib
+++ b/doc/user-manual/bibliography.bib
@@ -1,4 +1,4 @@
-% Encoding: UTF-8
+% Encoding: UTF-8
 
 @InProceedings{boris1970relativistic,
   author    = {Boris, Jay P},
@@ -7,38 +7,48 @@
   year      = {1970},
   pages     = {3--67},
 }
-
-@Misc{gfortranURL,
-  author       = {GNU Project},
-  title        = {gfortran - the GNU Fortran compiler},
-  howpublished = {\url{https://gcc.gnu.org/wiki/GFortran}},
-}
-
-@Misc{ifortURL,
-  author       = {Intel\textsuperscript{\textregistered}},
-  title        = {Intel\textsuperscript{\textregistered} Fortran Compiler},
-  howpublished = {\url{https://software.intel.com/content/www/us/en/develop/tools/oneapi/components/fortran-compiler.html}},
-}
-
-@Misc{openblasURL,
-  title        = {OpenBLAS, an optimized BLAS library},
-  howpublished = {\url{https://www.openblas.net/}},
-}
-
-@Misc{jsonfortranURL,
-  title        = {JSON-Fortran},
-  howpublished = {\url{https://github.com/jacobwilliams/json-fortran}},
-}
-
-@Misc{jsonURL,
-  title        = {JSON, JavaScript Object Notation},
-  howpublished = {\url{https://www.json.org/json-en.html}},
-}
-
-@Misc{gmshURL,
-  author       = {Christophe Geuzaine and Jean-François Remacle},
-  title        = {Gmsh},
-  howpublished = {\url{https://gmsh.info/}},
-}
-
-@Comment{jabref-meta: databaseType:bibtex;}
+
+@article{higginson2020corrected,
+  title={A corrected method for Coulomb scattering in arbitrarily weighted particle-in-cell plasma simulations},
+  author={Higginson, Drew Pitney and Holod, Ihor and Link, Anthony},
+  journal={Journal of Computational Physics},
+  volume={413},
+  pages={109450},
+  year={2020},
+  publisher={Elsevier}
+}
+
+@Misc{gfortranURL,
+  author       = {GNU Project},
+  title        = {gfortran - the GNU Fortran compiler},
+  howpublished = {\url{https://gcc.gnu.org/wiki/GFortran}},
+}
+
+@Misc{ifortURL,
+  author       = {Intel\textsuperscript{\textregistered}},
+  title        = {Intel\textsuperscript{\textregistered} Fortran Compiler},
+  howpublished = {\url{https://software.intel.com/content/www/us/en/develop/tools/oneapi/components/fortran-compiler.html}},
+}
+
+@Misc{openblasURL,
+  title        = {OpenBLAS, an optimized BLAS library},
+  howpublished = {\url{https://www.openblas.net/}},
+}
+
+@Misc{jsonfortranURL,
+  title        = {JSON-Fortran},
+  howpublished = {\url{https://github.com/jacobwilliams/json-fortran}},
+}
+
+@Misc{jsonURL,
+  title        = {JSON, JavaScript Object Notation},
+  howpublished = {\url{https://www.json.org/json-en.html}},
+}
+
+@Misc{gmshURL,
+  author       = {Christophe Geuzaine and Jean-François Remacle},
+  title        = {Gmsh},
+  howpublished = {\url{https://gmsh.info/}},
+}
+
+@Comment{jabref-meta: databaseType:bibtex;}
diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index 21e1b47fbea43f6399299e6118427761cf4a4e49..5f8e76a235c4ac1be1b3650ee9f1268855e71f6d 100644
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index c70f2ab..a485c95 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -21,6 +21,10 @@
     Author   = {Jorge Gonzalez}
   }
 }
+% Allows breaking of URL in bibliography.
+\setcounter{biburllcpenalty}{7000}
+\setcounter{biburlucpenalty}{8000}
+
 \makeglossaries
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -31,6 +35,8 @@
 \newacronym{cpu}{CPU}{Central Processing Unit}
 \newacronym{json}{JSON}{JavaScript Object Notation}
 \newacronym{io}{I/O}{input/output}
+\newacronym{mcc}{MCC}{Monte-Carlo Collisions}
+\newacronym{cs}{CS}{Coulomb Scattering}
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \newglossaryentry{openmp}{name={OpenMP},description={Shared-memory parallelization}}
@@ -60,7 +66,9 @@
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   \chapter{Introduction}
     \section{About fpakc}
-      The \Gls{fpakc} is a simulation tool that models species in plasmas (ions, electrons and neutrals) following the trajectories of macro-particles as they move and interact between them and the boundaries of the domain.
+      The \Gls{fpakc} is a simulation tool that models species in plasma (ions, electrons and neutrals) following the trajectories of macro-particles as they move and interact between them and the boundaries of the domain.
+      Particles properties are scattered into a finite element mesh in 1, 2 or three dimensions, with the possibility to choose different geometries.
+      The official repository can be found at: \url{https://gitlab.com/JorgeGonz/fpakc.git}.
       The code is currently in very early steps of development and further improvements are expected very soon.
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -78,11 +86,11 @@
               This ease the process of fixing bugs and improving the codes by a large team of developers.
               For more information, please refer to the \acrshort{fpakc} Coding Style document.
         \item \acrshort{fpakc} requires to be ease to use.
-              Input files are required to be in a \textit{human} format, meaning that the different options can be easily understander without constant reference to the user guide.
-              \acrshort{fpakc} is aimed to be used in a wide range of applications and by a variety of scientist: from very established ones to newcomers to the field and students.
+              Input files are required to be in a \textit{human} format, meaning that the different options can be easily understood without constant reference to the user guide.
+              \acrshort{fpakc} is aimed to be used in a wide range of applications and by a variety of scientist: from very established ones to newcomers to the field and also students.
       \end{enumerate}
     
-      These are foundation stones of the code and code development and should always be followed, at least for the releases in the official repository.
+      These are foundation stones of \acrshort{fpakc} and its development and should always be followed, at least for the releases in the official repository.
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{How to collaborate}
@@ -92,22 +100,32 @@
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   \chapter{Operation Scheme}
     \section{The Particle Method}
-      \acrshort{fpakc} uses macro-particles to simulate the dynamics of different plasma species (mainly ions, electrons and neutrals).
-      These macro-particles represent a large amount of real particles.
+      \Gls{fpakc} uses macro-particles to simulate the dynamics of different plasma species (mainly ions, electrons and neutrals).
+      These macro-particles could represent a large amount of real particles.
       For now own, macro-particles will be referred as just particles by abusing of language.
-      In the evolution of these particles, external forces (as the electromagnetic field), interaction between particles (as collisions) and interaction with the boundaries of the domain are included.
+      During the initiation phase, the input and mesh file(s) are reading.
+      If an initial distribution for a species is specified in the input file, particles to match that distribution are loaded into the cells.
+      
+      The general steps performed in each iteration are:
+      \begin{enumerate}
+        \item Firstly, new particles are introduced into the domain as specified in the input file.
+        \item Particles are then pushed accounting for possible acceleration by external forces.
+              During this process, if a particle changes cell it is found using the connectivity between elements.
+              If a particle encounters a boundary instead a new cell, the interaction between the boundary and the wall is computed.
+              A particle may abandon the computational domain and is no longer accounted for.
+        \item Next, collisions for the particles inside each cell are carried out.
+              This may include different collision processes for each particle.
+              Monte-Carlo collisions (elastic, ionization, charge-exchange$\ldots$) can be carried out in a specific mesh, to better adjust to the cell size required, similar to the mean-free path.
+              Although not yet implemented, Coulomb scattering will always be performed in the mesh used for scattering, which cell size should be in the order of the Debye length.
+        \item A new array containing all particles inside the numerical domain is obtained.
+        \item Finally, particle properties are scattered among the mesh nodes.
+              These properties are density, momentum and the stress tensor.
+        \item If requested, the electromagnetic field is computed.
+        \item If the number of iteration requires writing output files, it is done after all steps for the particles is completed.
+      \end{enumerate}
     
-      At each time step, particles are first pushed accounting for possible acceleration by external forces.
-      Then, the cell in which the particle ends up is located.
-      If a boundary is encountered, the interaction between the particle and the boundary is calculated.
-      Next, collisions for the particles in each cell are carried on.
-      This may include different collision processes for each particle.
-      Finally, the particles properties are scattered into the mesh nodes.
-      These properties are density, momentum and the stress tensor.
-      Non-dimensional units are used for this, but output files are converted into dimensional units.
-      If requested, the electromagnetic field is computed.
-    
-      More in depth explanation of the different steps are given in the following sections.
+      \Gls{fpakc} has the capability to configure all the behavior of the simulation via the input file.
+      Parameters as injection, the kind of pusher used for each species, boundary conditions or collisions are user-input parameters and will be described in Chap.~\ref{ch:input_file}.
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Injection of new particles}
@@ -122,85 +140,93 @@
       Particles are pushed in the selected domain.
       Velocity and position are updated according to the old particle values and the external forces.
       All the push routines for the different geometries can be found in \lstinline|moduleSolver|.
+      The pushers included in \Gls{fpakc} are:
       
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-      \subsection{3D Cartesian pusher}
-        Moving particles in a simple 3D Cartesian space.
+      \begin{itemize}
+      \item 3D Cartesian pusher.
+            Moving particles in a simple 3D Cartesian space.
         
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-      \subsection{2D Cylindrical}
-        When a 2D cylindrical geometry is used ($z$, $r$), a Boris solver\cite{boris1970relativistic} is used to move particles accounting for the effect of the symmetry axis.
-        This pusher removes the issue with particles going to infinite velocity when $r \rightarrow 0$ by pushing the particles in Cartesian space and then converting it to $r-z$ geometry.
-        Velocity in the $\theta$ direction is updated for collision processes, although the dynamic in the angular direction is assumed as symmetric.
+      \item 2D Cylindrical.
+            When a 2D cylindrical geometry is used ($z$, $r$), a Boris solver\cite{boris1970relativistic} is used to move particles accounting for the effect of the symmetry axis.
+            This pusher removes the issue with particles going to infinite velocity when $r \rightarrow 0$ by pushing the particles in Cartesian space and then converting it to $r-z$ geometry.
+            Velocity in the $\theta$ direction is updated for collision processes, although the dynamic in the angular direction is assumed as symmetric.
         
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-      \subsection{2D Cartesian pusher}
-        Moving particles in a simple 2D Cartesian space.
+      \item 2D Cartesian pusher.
+            Moving particles in a simple 2D Cartesian space.
         
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-      \subsection{1D Radial pusher}
-        Same implementation as 2D cylindrical pusher but direction $z$ is ignored.
+      \item 1D Radial pusher.
+            Same implementation as 2D cylindrical pusher but direction $z$ is ignored.
 
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-      \subsection{1D Cartesian pusher}
-        Moving particles in a simple 1D Cartesian space. Same implementation as in 2D Cartesian but $y$ direction is ignored.
+      \item 1D Cartesian pusher.
+            Moving particles in a simple 1D Cartesian space. Same implementation as in 2D Cartesian but $y$ direction is ignored.
       
+      \end{itemize}
+    
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Find new cell}      
       Once the position and velocity of the particle are updated, the new cell that contains the particle is searched.
       This is done by a neighbor search, starting from the previous cell containing the particle.
       In the process of finding the new cell, it is possible that a particle encounters a boundary.
-      When the particle interacts with the boundary, the particle may continue its life in the simulation (reflected) or might be eliminated from it (absorbed).
+      When the particle interacts with the boundary, the particle may continue its life in the simulation or might be eliminated from it.
       Once that the new cell is found or that the particle life has been terminated, the pushing is complete.
+      If a secondary mesh is used for the Monte-Carlo Collision method, the new cell in that mesh in which the particle reside is also found by the same method, although no interaction with the boundaries is accounted for this step.
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Variable Weighting Scheme\label{sec:weightingScheme}}
       One of the issues in particle simulations, specially for axial-symmetrical cases, is that due to the disparate volume of cells, specially close to the axis, the statistics in some cells is usually poor.
       To try to fix that, the possibility to include a Variable Weighting Scheme in the simulations is available in \Gls{fpakc}.
-      This schemes detect when a particle change cells and modify its weight accordingly.
+      These schemes detect when a particle change cells and modify its weight accordingly.
       To avoid particles having a larger weight than the rest, particle can be split in multiple particles if weight become too large.
-                  
+      The use of a Variable Weighting Scheme is defined by the user in the input file.
+    
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+    \section{Interaction between species}\label{ssec:collisions}
+      For each cell, interaction among the particles in it are carried out.
+      \Gls{fpakc} distinguish between two types of interactions: \acrfull{mcc} and \acrfull{cs}.
+      \acrshort{mcc} refers to the process in which two particles interact in short range.
+      These processes include, but are not limited to: elastic collisions, ionization/recombination, charge-exchange, excitation/de-excitation\ldots
+      A secondary mesh, with cell sizes in the range of the mean-free path, can be used for this type of collisions.
+      \acrshort{cs} refers to the large range interaction that a charged species suffer do to the charge of other particles.
+      The interactions between the different species is defined by the user.
+      
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+      \subsection{\acrlong{mcc}}
+        For each cell the maximum number of collisions between particle is computed.
+        For each collision, a random pair of particles is chosen.
+        A loop over all possible collisions for the pair of particles chosen is performed.
+        If a random number is above the probability of collision for that specific type, the collision take place.
+        If not, the next type for the particle pair is checked.
+              
+        Below are described the type of collision process implemented in \acrshort{fpakc}:
+        \begin{itemize}
+          \item Elastic.
+                In this type of collision, particles exchange energy due to hard-sphere model.
+                Total energy is conserved.
+                Resulting velocity directions are chosen from Maxwellian distribution functions.
+                This interaction is useful for short-range collisions as neutral-neutral and charged-neutral elastic collisions.
+      
+          \item Charge Exchange.
+                When an ion interacts with a neutral particle, an electron is exchanged between the two particles with no exchange of energy.
+                This is called a resonant charge-exchange.
+        
+          \item Electron Impact Ionization.
+                When the relative energy between a neutral and an electron is above the ionization threshold, there is a probability that the neutral particle will become ionized.
+                This ionization emits and additional electron
+
+          \item Recombination.
+                When an electron and an ion interact, there is a possibility for them to be recombined into a neutral particle.
+                The photon emitted by this process is not modeled yet.
+        \end{itemize}
+      
+      \subsection{\acrlong{cs}}
+        Although not yet implement, a first approach will be soon implemented using Ref.~\cite{higginson2020corrected} as a guideline.
+        
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Reset of particle array}
       Once that the pushing is complete, the array of particles that remain inside the domain is copied to a new array.
       The new array containing only the particles inside the domain will be the one used in the next steps.
       In this section, particles are assigned to the list of particles inside each individual cell.
       Unfortunately, this is done right now without parallelisation and is very CPU consuming.
-    
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-    \section{Interaction between species}\label{ssec:collisions}
-      For each cell, interaction among the particles in it are carried out.
-      The type of interaction between the different particles is defined by the user.
-      In general, the maximum number of interaction in a cell is computed.
-      For each collision, a pair of particles is selected.
-      A loop over all possible collisions for the pair of particles is performed.
-      If a random number generated is above the probability of collision for the type divided by the maximum one, the collision take place.
-      
-      Collisions can change the velocity of the particles involved (elastic), create new particles (ionization-recombination) or change the type of particle (charge-exchange).
-      
-      Below are described the type of collision process implemented between species.
-      
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-      \subsection{Elastic collision}
-        In this type of collision, particles exchange energy due to hard-sphere model.
-        Total energy is conserved.
-        Resulting velocity directions are chosen from Maxwellian distribution functions.
-        This interaction is useful for short-range collisions as neutral-neutral and charged-neutral elastic collisions.
-      
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-      \subsection{Charge Exchange}
-        When an ion interacts with a neutral particle, an electron is exchanged between the two particles with no exchange of energy.
-        This is called a resonant charge-exchange.
-        
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-      \subsection{Electron Impact Ionization}
-        When the relative energy between a neutral and an electron is above the ionization threshold, there is a probability that the neutral particle will become ionized.
-        This ionization emits and additional electron
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-      \subsection{Recombination}
-        When an electron and an ion interact, there is a possibility for them to be recombined into a neutral particle.
-        The photon emitted by this process is not modeled yet.
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Scattering}
@@ -620,9 +646,14 @@ make
         \begin{itemize}
           \item \textbf{folderCollisions}: Character.
                                            Indicates the path to in which the cross section tables are allocated.
+          \item \textbf{meshCollisions}: Character.
+                                         Determines a specific mesh for \acrshort{mcc} processes.
+                                         The file needs to be located in the folder \textbf{output.folder}.
+                                         If this value is not present, the mesh defined in \textbf{geometry.meshFile} is used for \acrshort{mcc}.
+                                         The format of this mesh needs to be the same as the one defined in \textbf{geometry.meshType}.
           \item \textbf{collisions}: Object.
                                      Array.
-                                     Contains the different binary collisions.
+                                     Contains the different short range interactions (\acrshort{mcc}).
                                      Multiple collision types can be defined for each pair of species.
                                      Each object in the array is defined by:
                                      \begin{itemize}
@@ -665,21 +696,22 @@ make
         \end{itemize}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   \chapter{Example runs\label{ch:exampleRuns}}
-    \section{1D Cathode}
+    \section{1D Emissive Cathode (1D\_Cathode)}
       Emission from a 1D cathond in both, cartesian and radial coordinates.
       Both cases insert the same amount of electrons from the minimum coordinate and have the same boundary conditions for particles and the electrostatic field.
       This case is useful to ilustrate hoy \acrshort{fpakc} can deal with different geometries by just modifiying some parameters in the input file.
       The same mesh file (\lstinline|mesh.msh|) is used for both cases.
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-    \section{ALPHIE Grid system}
+    \section{ALPHIE Grid system (ALPHIE\_Grid)}
       Two-dimensional axialsymmetry case to study the counterflow of electrons and Argon ions going trhough the ALPHIE grid system.
       A \lstinline|mesh.geo| file is provided to easily modify the parameters of the grid system and generate a new mesh with \Gls{gmsh}.
       
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-    \section{Flow around cylinder}
+    \section{Flow around cylinder (cylFlow)}
       Simple case of neutral Argon flow around a cylinder in a 2D axialsymmetry geometry.
-      Elastic collisions between argon particles are included as default.
+      Elastic collisions between argon particles are included.
+      Two cases are presented here: one in which the same mesh (meshSingle.msh) for scattering and collisions is used (input.json) and a second one (inputDualMesh.json) in which a mesh is used for scattering (mesh.msh) and a second one is used only for collisions (meshColl.msh).
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   \printglossaries
diff --git a/runs/cylFlow/input.json b/runs/cylFlow/input.json
index 77b274c..88029a2 100644
--- a/runs/cylFlow/input.json
+++ b/runs/cylFlow/input.json
@@ -8,7 +8,7 @@
   "geometry": {
     "type":     "2DCyl",
     "meshType": "gmsh2",
-    "meshFile": "mesh.msh"
+    "meshFile": "meshSingle.msh"
   },
   "species": [
     {"name": "Argon",  "type": "neutral", "mass": 6.633e-26, "weight": 5.0e8}
@@ -57,7 +57,7 @@
   },
   "parallel": {
     "OpenMP":{
-      "nThreads": 8
+      "nThreads": 24
     }
   }
 }
diff --git a/runs/cylFlow/inputDualMesh.json b/runs/cylFlow/inputDualMesh.json
new file mode 100644
index 0000000..1f2d146
--- /dev/null
+++ b/runs/cylFlow/inputDualMesh.json
@@ -0,0 +1,64 @@
+{
+  "output": {
+    "path": "./runs/cylFlow/",
+	"triggerOutput": 10,
+	"cpuTime": true,
+	"numColl": true
+  },
+  "geometry": {
+    "type":     "2DCyl",
+    "meshType": "gmsh2",
+    "meshFile": "mesh.msh"
+  },
+  "species": [
+    {"name": "Argon",  "type": "neutral", "mass": 6.633e-26, "weight": 5.0e8}
+  ],
+  "boundary": [ 
+    {"name": "Injection",      "physicalSurface": 1, "bTypes": [
+                                                       {"type": "transparent"}
+                                                      ]},
+    {"name": "Chamber Walls",  "physicalSurface": 2, "bTypes": [
+                                                       {"type": "reflection"}
+                                                      ]},
+    {"name": "Exterior",       "physicalSurface": 3, "bTypes": [
+                                                       {"type": "transparent"}
+                                                      ]},
+    {"name": "Cylinder Walls", "physicalSurface": 4, "bTypes": [
+                                                       {"type": "reflection"}
+                                                      ]},
+    {"name": "Axis",           "physicalSurface": 5, "bTypes": [
+                                                       {"type": "axis"}
+                                                      ]}
+  ],
+  "inject": [
+    {"name": "Nozzle", "species": "Argon", "flow": 10.0, "units": "sccm",     "v": 300.0, "T": [300.0, 300.0, 300.0],
+                       "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [1, 0, 0], "physicalSurface": 1}
+  ],
+  "reference": {
+    "density": 1.0e20,
+    "mass": 6.633e-26,
+    "temperature": 300.0,
+    "radius": 1.88e-10
+  },
+  "case": {
+    "tau":  [5.0e-7],
+    "time":  1.0e-3,
+    "pusher": ["2DCylNeutral"],
+    "WeightingScheme": "Volume"
+  },
+  "interactions": {
+    "folderCollisions": "./data/collisions/",
+    "meshCollisions": "meshColl.msh",
+    "collisions": [
+      {"species_i": "Argon", "species_j": "Argon", 
+       "cTypes": [
+         {"type": "elastic", "crossSection": "EL_Ar-Ar.dat"}
+       ]}
+    ]
+  },
+  "parallel": {
+    "OpenMP":{
+      "nThreads": 24
+    }
+  }
+}
diff --git a/runs/cylFlow/mesh.geo b/runs/cylFlow/mesh.geo
index 7fb4232..7622c6b 100644
--- a/runs/cylFlow/mesh.geo
+++ b/runs/cylFlow/mesh.geo
@@ -62,10 +62,13 @@ Physical Surface(4) = {4};
 Physical Surface(5) = {5};
 
 Transfinite Line {12, 2, 4, 6} = cyl_h/Lcell + 1 Using Progression 1;
-Transfinite Line {1, 13, 10} = cyl_s/Lcell + 1 Using Progression 1;
-Transfinite Line {11, 16, 15, 7} = (dom_h - cyl_h)/Lcell + 1 Using Progression 1;
+Transfinite Line {10} = cyl_s/Lcell + 1 Using Progression 1;
+Transfinite Line {1, 13} = cyl_s/Lcell + 1 Using Progression 0.95;
+Transfinite Line {11, 7} = (dom_h - cyl_h)/Lcell + 1 Using Progression 1;
+Transfinite Line {16,-15} = (dom_h - cyl_h)/Lcell + 1 Using Progression 0.95;
 Transfinite Line {3, 9} = cyl_l/Lcell + 1 Using Progression 1;
-Transfinite Line {5, 14, 8} = (dom_l - cyl_e)/Lcell + 1 Using Progression 1;
+Transfinite Line {8} = (dom_l - cyl_e)/Lcell + 1 Using Progression 1;
+Transfinite Line {-5, -14} = (dom_l - cyl_e)/Lcell + 1 Using Progression 0.95;
 
 Transfinite Surface{1};
 Recombine Surface {1};
diff --git a/runs/cylFlow/mesh.msh b/runs/cylFlow/mesh.msh
index bba77d3..e63d474 100644
--- a/runs/cylFlow/mesh.msh
+++ b/runs/cylFlow/mesh.msh
@@ -15,35 +15,35 @@ $Nodes
 10 0.03 0.03 0
 11 0 0.03 0
 12 0 0.005 0
-13 0.0009999999999979004 0 0
-14 0.001999999999995411 0 0
-15 0.002999999999993785 0 0
-16 0.003999999999991725 0 0
-17 0.004999999999988652 0 0
-18 0.005999999999985575 0 0
-19 0.006999999999982499 0 0
-20 0.007999999999979595 0 0
-21 0.008999999999975637 0 0
-22 0.009999999999973443 0 0
-23 0.01099999999996967 0 0
-24 0.01199999999996722 0 0
-25 0.0129999999999637 0 0
-26 0.01399999999996089 0 0
-27 0.01499999999995807 0 0
-28 0.01599999999996154 0 0
-29 0.01699999999996431 0 0
-30 0.01799999999996781 0 0
-31 0.01899999999996954 0 0
-32 0.01999999999997272 0 0
-33 0.02099999999997518 0 0
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-35 0.0229999999999801 0 0
-36 0.0239999999999839 0 0
-37 0.02499999999998636 0 0
-38 0.02599999999998954 0 0
-39 0.02699999999999128 0 0
-40 0.02799999999999477 0 0
-41 0.02899999999999755 0 0
+13 0.001909949107370988 0 0
+14 0.003724400764898619 0 0
+15 0.00544812984697301 0 0
+16 0.007085672480278866 0 0
+17 0.008641337974464773 0 0
+18 0.01011922019027124 0 0
+19 0.01152320829741482 0 0
+20 0.01285699699872942 0 0
+21 0.0141240962660219 0 0
+22 0.01532784056420866 0 0
+23 0.01647139764395474 0 0
+24 0.01755777687982084 0 0
+25 0.01858983715392555 0 0
+26 0.01957029440890948 0 0
+27 0.02050172880978583 0 0
+28 0.02138659149292259 0 0
+29 0.02222721103767322 0 0
+30 0.02302579959990637 0 0
+31 0.02378445873262431 0 0
+32 0.02450518490932119 0 0
+33 0.02518987478315494 0 0
+34 0.02584033017020188 0 0
+35 0.02645826277766319 0 0
+36 0.02704529875408503 0 0
+37 0.02760298293532261 0 0
+38 0.02813278290929231 0 0
+39 0.02863609288632462 0 0
+40 0.02911423735978719 0 0
+41 0.02956847461412211 0 0
 42 0.03 0.0009999999999977603 0
 43 0.03 0.001999999999994854 0
 44 0.03 0.002999999999994753 0
@@ -71,25 +71,25 @@ $Nodes
 66 0.05 0.003000000000005255 0
 67 0.05 0.002000000000005323 0
 68 0.05 0.001000000000002747 0
-69 0.05099999999999513 0 0
-70 0.05199999999999404 0 0
-71 0.05299999999999756 0 0
-72 0.05399999999999269 0 0
-73 0.05499999999998781 0 0
-74 0.05599999999998293 0 0
-75 0.05699999999998049 0 0
-76 0.05799999999997615 0 0
-77 0.05899999999997507 0 0
-78 0.05999999999997289 0 0
-79 0.06099999999997615 0 0
-80 0.06199999999997778 0 0
-81 0.06299999999998157 0 0
-82 0.06399999999997995 0 0
-83 0.06499999999998374 0 0
-84 0.06599999999999187 0 0
-85 0.06699999999999676 0 0
-86 0.06799999999999025 0 0
-87 0.0689999999999935 0 0
+69 0.05058822341970937 0 0
+70 0.05120740595980373 0 0
+71 0.0518591770527943 0 0
+72 0.0525452518880007 0 0
+73 0.05326743593050454 0 0
+74 0.05402762966291796 0 0
+75 0.0548278335895147 0 0
+76 0.05567015350824044 0 0
+77 0.05655680605360524 0 0
+78 0.05749012452558775 0 0
+79 0.0584725650256883 0 0
+80 0.05950671291922453 0 0
+81 0.06059528964837027 0 0
+82 0.06174115988899887 0 0
+83 0.06294733909191062 0 0
+84 0.06421700141566565 0 0
+85 0.06555348807096292 0 0
+86 0.06696031612671122 0 0
+87 0.06844118775876132 0 0
 88 0.07000000000000001 0.0009999999999977603 0
 89 0.07000000000000001 0.001999999999994854 0
 90 0.07000000000000001 0.002999999999994753 0
@@ -211,1833 +211,1833 @@ $Nodes
 206 0 0.003000000000005255 0
 207 0 0.002000000000005323 0
 208 0 0.001000000000002747 0
-209 0.0009999999999979004 0.005 0
-210 0.001999999999995411 0.005 0
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-212 0.003999999999991725 0.005 0
-213 0.004999999999988652 0.005 0
-214 0.005999999999985575 0.005 0
-215 0.006999999999982499 0.005 0
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diff --git a/runs/cylFlow/meshColl.geo b/runs/cylFlow/meshColl.geo
new file mode 100644
index 0000000..147d2d2
--- /dev/null
+++ b/runs/cylFlow/meshColl.geo
@@ -0,0 +1,73 @@
+cl__1 = 1;
+cyl_h = 0.005;
+cyl_l = 0.02;
+cyl_s = 0.03;
+cyl_e = cyl_s + cyl_l;
+dom_h = 0.03;
+dom_l = 0.07;
+
+Lcell = 0.001;
+
+Point(1)  = {0,     0,     0, cl__1};
+Point(2)  = {cyl_s, 0,     0, cl__1};
+Point(3)  = {cyl_s, cyl_h, 0, cl__1};
+Point(4)  = {cyl_e, cyl_h, 0, cl__1};
+Point(5)  = {cyl_e, 0,     0, cl__1};
+Point(6)  = {dom_l, 0,     0, cl__1};
+Point(7)  = {dom_l, cyl_h, 0, cl__1};
+Point(8)  = {dom_l, dom_h, 0, cl__1};
+Point(9)  = {cyl_e, dom_h, 0, cl__1};
+Point(10) = {cyl_s, dom_h, 0, cl__1};
+Point(11) = {0,     dom_h, 0, cl__1};
+Point(12) = {0,     cyl_h, 0, cl__1};
+
+Line(1)  = {1,  2};
+Line(2)  = {2,  3};
+Line(3)  = {3,  4};
+Line(4)  = {4,  5};
+Line(5)  = {5,  6};
+Line(6)  = {6,  7};
+Line(7)  = {7,  8};
+Line(8)  = {8,  9};
+Line(9)  = {9,  10};
+Line(10) = {10, 11};
+Line(11) = {11, 12};
+Line(12) = {12, 1};
+Line(13) = {12, 3};
+Line(14) = {4,  7};
+Line(15) = {4,  9};
+Line(16) = {10, 3};
+
+Line Loop(1) = {1, 2, -13, 12};
+Plane Surface(1) = {1};
+Line Loop(2) = {13, -16, 10, 11};
+Plane Surface(2) = {2};
+Line Loop(3) = {3, 15, 9, 16};
+Plane Surface(3) = {3};
+Line Loop(4) = {5, 6, -14, 4};
+Plane Surface(4) = {4};
+Line Loop(5) = {14, 7, 8, -15};
+Plane Surface(5) = {5};
+
+Physical Surface(1) = {1};
+Physical Surface(2) = {2};
+Physical Surface(3) = {3};
+Physical Surface(4) = {4};
+Physical Surface(5) = {5};
+
+Transfinite Line {12, 2, 4, 6} = cyl_h/Lcell + 1 Using Progression 1;
+Transfinite Line {1, 13, 10} = cyl_s/Lcell + 1 Using Progression 1;
+Transfinite Line {11, 16, 15, 7} = (dom_h - cyl_h)/Lcell + 1 Using Progression 1;
+Transfinite Line {3, 9} = cyl_l/Lcell + 1 Using Progression 1;
+Transfinite Line {5, 14, 8} = (dom_l - cyl_e)/Lcell + 1 Using Progression 1;
+
+Transfinite Surface{1};
+Recombine Surface {1};
+Transfinite Surface{2};
+Recombine Surface {2};
+Transfinite Surface{3};
+Recombine Surface {3};
+Transfinite Surface{4};
+Recombine Surface {4};
+Transfinite Surface{5};
+Recombine Surface {5};
diff --git a/runs/cylFlow/meshColl.msh b/runs/cylFlow/meshColl.msh
new file mode 100644
index 0000000..d23e94a
--- /dev/null
+++ b/runs/cylFlow/meshColl.msh
@@ -0,0 +1,3974 @@
+$MeshFormat
+2.2 0 8
+$EndMeshFormat
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diff --git a/runs/cylFlow/meshSingle.geo b/runs/cylFlow/meshSingle.geo
new file mode 100644
index 0000000..7fb4232
--- /dev/null
+++ b/runs/cylFlow/meshSingle.geo
@@ -0,0 +1,79 @@
+cl__1 = 1;
+cyl_h = 0.005;
+cyl_l = 0.02;
+cyl_s = 0.03;
+cyl_e = cyl_s + cyl_l;
+dom_h = 0.03;
+dom_l = 0.07;
+
+Lcell = 0.001;
+
+Point(1)  = {0,     0,     0, cl__1};
+Point(2)  = {cyl_s, 0,     0, cl__1};
+Point(3)  = {cyl_s, cyl_h, 0, cl__1};
+Point(4)  = {cyl_e, cyl_h, 0, cl__1};
+Point(5)  = {cyl_e, 0,     0, cl__1};
+Point(6)  = {dom_l, 0,     0, cl__1};
+Point(7)  = {dom_l, cyl_h, 0, cl__1};
+Point(8)  = {dom_l, dom_h, 0, cl__1};
+Point(9)  = {cyl_e, dom_h, 0, cl__1};
+Point(10) = {cyl_s, dom_h, 0, cl__1};
+Point(11) = {0,     dom_h, 0, cl__1};
+Point(12) = {0,     cyl_h, 0, cl__1};
+
+Line(1)  = {1,  2};
+Line(2)  = {2,  3};
+Line(3)  = {3,  4};
+Line(4)  = {4,  5};
+Line(5)  = {5,  6};
+Line(6)  = {6,  7};
+Line(7)  = {7,  8};
+Line(8)  = {8,  9};
+Line(9)  = {9,  10};
+Line(10) = {10, 11};
+Line(11) = {11, 12};
+Line(12) = {12, 1};
+Line(13) = {12, 3};
+Line(14) = {4,  7};
+Line(15) = {4,  9};
+Line(16) = {10, 3};
+
+Line Loop(1) = {1, 2, -13, 12};
+Plane Surface(1) = {1};
+Line Loop(2) = {13, -16, 10, 11};
+Plane Surface(2) = {2};
+Line Loop(3) = {3, 15, 9, 16};
+Plane Surface(3) = {3};
+Line Loop(4) = {5, 6, -14, 4};
+Plane Surface(4) = {4};
+Line Loop(5) = {14, 7, 8, -15};
+Plane Surface(5) = {5};
+
+Physical Line(1) = {12, 11};
+Physical Line(2) = {10, 9, 8};
+Physical Line(3) = {7, 6};
+Physical Line(4) = {2, 3, 4};
+Physical Line(5) = {1, 5};
+
+Physical Surface(1) = {1};
+Physical Surface(2) = {2};
+Physical Surface(3) = {3};
+Physical Surface(4) = {4};
+Physical Surface(5) = {5};
+
+Transfinite Line {12, 2, 4, 6} = cyl_h/Lcell + 1 Using Progression 1;
+Transfinite Line {1, 13, 10} = cyl_s/Lcell + 1 Using Progression 1;
+Transfinite Line {11, 16, 15, 7} = (dom_h - cyl_h)/Lcell + 1 Using Progression 1;
+Transfinite Line {3, 9} = cyl_l/Lcell + 1 Using Progression 1;
+Transfinite Line {5, 14, 8} = (dom_l - cyl_e)/Lcell + 1 Using Progression 1;
+
+Transfinite Surface{1};
+Recombine Surface {1};
+Transfinite Surface{2};
+Recombine Surface {2};
+Transfinite Surface{3};
+Recombine Surface {3};
+Transfinite Surface{4};
+Recombine Surface {4};
+Transfinite Surface{5};
+Recombine Surface {5};
diff --git a/runs/cylFlow/meshSingle.msh b/runs/cylFlow/meshSingle.msh
new file mode 100644
index 0000000..bba77d3
--- /dev/null
+++ b/runs/cylFlow/meshSingle.msh
@@ -0,0 +1,4182 @@
+$MeshFormat
+2.2 0 8
+$EndMeshFormat
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+$EndElements
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 93c53d4..8ddee60 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -400,6 +400,33 @@ MODULE moduleMesh
   END INTERFACE
 
   CONTAINS
+    !Constructs the global K matrix
+    SUBROUTINE constructGlobalK(self)
+      IMPLICIT NONE
+
+      CLASS(meshParticles), INTENT(inout):: self
+      INTEGER:: e
+      INTEGER, ALLOCATABLE:: n(:)
+      REAL(8), ALLOCATABLE:: localK(:,:)
+      INTEGER:: nNodes, i, j
+
+      DO e = 1, self%numVols
+        n      = self%vols(e)%obj%getNodes()
+        localK = self%vols(e)%obj%elemK()
+        nNodes = SIZE(n)
+
+        DO i = 1, nNodes
+          DO j = 1, nNodes
+            self%K(n(i), n(j)) = self%K(n(i), n(j)) + localK(i, j)
+
+          END DO
+
+        END DO
+
+      END DO
+
+    END SUBROUTINE constructGlobalK
+
     !Reset the output of node
     PURE SUBROUTINE resetOutput(self)
       USE moduleSpecies
@@ -627,31 +654,11 @@ MODULE moduleMesh
 
     END SUBROUTINE doCollisions
 
-    !Constructs the global K matrix
-    SUBROUTINE constructGlobalK(self)
-      IMPLICIT NONE
+    SUBROUTINE doCoulomb(self)
+      IMPORT meshParticles
 
       CLASS(meshParticles), INTENT(inout):: self
-      INTEGER:: e
-      INTEGER, ALLOCATABLE:: n(:)
-      REAL(8), ALLOCATABLE:: localK(:,:)
-      INTEGER:: nNodes, i, j
 
-      DO e = 1, self%numVols
-        n      = self%vols(e)%obj%getNodes()
-        localK = self%vols(e)%obj%elemK()
-        nNodes = SIZE(n)
-
-        DO i = 1, nNodes
-          DO j = 1, nNodes
-            self%K(n(i), n(j)) = self%K(n(i), n(j)) + localK(i, j)
-
-          END DO
-
-        END DO
-
-      END DO
-
-    END SUBROUTINE constructGlobalK
+    END SUBROUTINE doCoulomb
 
 END MODULE moduleMesh
diff --git a/src/modules/moduleMath.f90 b/src/modules/moduleMath.f90
index 213afa5..9bc8453 100644
--- a/src/modules/moduleMath.f90
+++ b/src/modules/moduleMath.f90
@@ -39,4 +39,14 @@ MODULE moduleMath
 
     END FUNCTION normalize
 
+    !Norm 1 of vector
+    PURE FUNCTION norm1(a) RESULT(b)
+      IMPLICIT NONE
+      REAL(8), DIMENSION(:), INTENT(in):: a
+      REAL(8):: b
+
+      b = SUM(DABS(a))
+
+    END FUNCTION norm1
+
 END MODULE moduleMath

From d2b36632c9913ad0bdc247edb4c1d4e2e390e948 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 12 Apr 2021 18:54:33 +0200
Subject: [PATCH 025/203] Implementation of 0D grid for analysis of collisional
 operators.

Still need to add a 0D pusher and the corresponding input configuration
and documentation.
---
 src/modules/mesh/0D/makefile                  |   5 +
 src/modules/mesh/0D/moduleMesh0D.f90          | 181 ++++++++++++++++++
 src/modules/mesh/inout/0D/makefile            |   7 +
 .../mesh/inout/0D/moduleMeshInput0D.f90       |  66 +++++++
 .../mesh/inout/0D/moduleMeshOutput0D.f90      |  61 ++++++
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 |   1 +
 .../inout/gmsh2/moduleMeshOutputGmsh2.f90     |   2 +-
 src/modules/mesh/inout/makefile               |   5 +-
 src/modules/mesh/makefile                     |   7 +-
 src/modules/mesh/moduleMesh.f90               |   3 +-
 src/modules/moduleInput.f90                   |   5 +-
 src/modules/moduleOutput.f90                  |   9 +-
 12 files changed, 339 insertions(+), 13 deletions(-)
 create mode 100644 src/modules/mesh/0D/makefile
 create mode 100644 src/modules/mesh/0D/moduleMesh0D.f90
 create mode 100644 src/modules/mesh/inout/0D/makefile
 create mode 100644 src/modules/mesh/inout/0D/moduleMeshInput0D.f90
 create mode 100644 src/modules/mesh/inout/0D/moduleMeshOutput0D.f90

diff --git a/src/modules/mesh/0D/makefile b/src/modules/mesh/0D/makefile
new file mode 100644
index 0000000..9dcba7e
--- /dev/null
+++ b/src/modules/mesh/0D/makefile
@@ -0,0 +1,5 @@
+all: moduleMesh0D.o
+
+moduleMesh0D.o: moduleMesh0D.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
diff --git a/src/modules/mesh/0D/moduleMesh0D.f90 b/src/modules/mesh/0D/moduleMesh0D.f90
new file mode 100644
index 0000000..3b84448
--- /dev/null
+++ b/src/modules/mesh/0D/moduleMesh0D.f90
@@ -0,0 +1,181 @@
+!moduleMesh1D: 0D mesh. No coordinates are relevant. No edges are used
+MODULE moduleMesh0D
+  USE moduleMesh
+  IMPLICIT NONE
+
+  TYPE, PUBLIC, EXTENDS(meshNode):: meshNode0D
+    INTEGER:: n1
+    CONTAINS
+      PROCEDURE, PASS:: init => initNode0D
+      PROCEDURE, PASS:: getCoordinates => getCoord0D
+
+  END TYPE meshNode0D
+
+  TYPE, PUBLIC, EXTENDS(meshVol):: meshVol0D
+    CLASS(meshNode), POINTER:: n1
+    CONTAINS
+      PROCEDURE, PASS:: init => initVol0D
+      PROCEDURE, PASS:: getNodes    => getNodes0D
+      PROCEDURE, PASS:: randPos     => randPos0D
+      PROCEDURE, PASS:: scatter     => scatter0D
+      PROCEDURE, PASS:: gatherEF    => gatherEF0D
+      PROCEDURE, PASS:: elemK       => elemK0D
+      PROCEDURE, PASS:: elemF       => elemF0D
+      PROCEDURE, PASS:: phy2log     => phy2log0D
+      PROCEDURE, NOPASS:: inside    => inside0D
+      PROCEDURE, PASS:: nextElement => nextElement0D
+
+  END TYPE meshVol0D
+
+  CONTAINS
+    !NODE FUNCTIONS
+    !Init node
+    SUBROUTINE initNode0D(self, n, r)
+      IMPLICIT NONE
+
+      CLASS(meshNode0D), INTENT(out):: self
+      INTEGER, INTENT(in):: n
+      REAL(8), INTENT(in):: r(1:3) !Unused variable
+
+      self%n = n
+
+    END SUBROUTINE initNode0D
+
+    !Get node coordinates
+    PURE FUNCTION getCoord0D(self) RESULT(r)
+      IMPLICIT NONE
+
+      CLASS(meshNode0D), INTENT(in):: self
+      REAL(8):: r(1:3)
+
+      r = 0.D0
+
+    END FUNCTION
+
+    !VOLUME FUNCTIONS
+    !Inits dummy 0D volume
+    SUBROUTINE initVol0D(self, n, p, nodes)
+      USE moduleRefParam
+      IMPLICIT NONE
+
+      CLASS(meshVol0D), INTENT(out):: self
+      INTEGER, INTENT(in):: n
+      INTEGER, INTENT(in):: p(:)
+      TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
+
+      self%n = n
+
+      self%n1 => nodes(p(1))%obj
+      self%volume = 1.D0
+      self%n1%v = 1.D0
+
+      self%sigmaVrelMax = sigma_ref/L_ref**2
+
+      CALL OMP_INIT_LOCK(self%lock)
+
+    END SUBROUTINE initVol0D
+
+    PURE FUNCTION getNodes0D(self) RESULT(n)
+      IMPLICIT NONE
+
+      CLASS(meshVol0D), INTENT(in):: self
+      INTEGER, ALLOCATABLE:: n(:)
+
+    END FUNCTION getNodes0D
+
+    FUNCTION randPos0D(self) RESULT(r)
+      IMPLICIT NONE
+
+      CLASS(meshVol0D), INTENT(in):: self
+      REAL(8):: r(1:3)
+
+      r = 0.D0
+
+    END FUNCTION randPos0D
+
+    SUBROUTINE scatter0D(self, part)
+      USE moduleMath
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshVol0D), INTENT(in):: self
+      CLASS(particle), INTENT(in):: part
+      REAL(8):: tensorS(1:3,1:3)
+      TYPE(outputNode), POINTER:: vertex
+
+      tensorS = outerProduct(part%v, part%v)
+
+      vertex => self%n1%output(part%species%n)
+      vertex%den          = vertex%den          + part%weight
+      vertex%mom(:)       = vertex%mom(:)       + part%weight*part%v(:)
+      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*tensorS
+
+    END SUBROUTINE scatter0D
+
+    PURE FUNCTION gatherEF0D(self, xi) RESULT(EF)
+      IMPLICIT NONE
+
+      CLASS(meshVol0D), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: EF(1:3)
+
+      EF = 0.D0
+
+    END FUNCTION gatherEF0D
+
+    PURE FUNCTION elemK0D(self) RESULT(localK)
+      IMPLICIT NONE
+
+      CLASS(meshVol0D), INTENT(in):: self
+      REAL(8), ALLOCATABLE:: localK(:,:)
+
+      ALLOCATE(localK(1:1, 1:1))
+      localK = 0.D0
+
+    END FUNCTION elemK0D
+
+    PURE FUNCTION elemF0D(self, source) RESULT(localF)
+      IMPLICIT NONE
+
+      CLASS(meshVol0D), INTENT(in):: self
+      REAL(8), INTENT(in):: source(1:)
+      REAL(8), ALLOCATABLE:: localF(:)
+
+      ALLOCATE(localF(1:1))
+      localF = 0.D0
+
+    END FUNCTION elemF0D
+
+    PURE FUNCTION phy2log0D(self,r) RESULT(xN) 
+      IMPLICIT NONE
+
+      CLASS(meshVol0D), INTENT(in):: self
+      REAL(8), INTENT(in):: r(1:3)
+      REAL(8):: xN(1:3)
+
+      xN = 0.D0
+
+    END FUNCTION phy2log0D
+
+    PURE FUNCTION inside0D(xi) RESULT(ins)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: xi(1:3)
+      LOGICAL:: ins
+
+      ins = .TRUE.
+
+    END FUNCTION inside0D
+
+    SUBROUTINE nextElement0D(self, xi, nextElement)
+      IMPLICIT NONE
+
+      CLASS(meshVol0D), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      CLASS(meshElement), POINTER, INTENT(out):: nextElement
+
+      nextElement => NULL()
+
+    END SUBROUTINE nextElement0D
+
+END MODULE moduleMesh0D
diff --git a/src/modules/mesh/inout/0D/makefile b/src/modules/mesh/inout/0D/makefile
new file mode 100644
index 0000000..4bf91b7
--- /dev/null
+++ b/src/modules/mesh/inout/0D/makefile
@@ -0,0 +1,7 @@
+all: moduleMeshInput0D.o moduleMeshOutput0D.o
+
+moduleMeshInput0D.o: moduleMeshOutput0D.o moduleMeshInput0D.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
+%.o: %.f90
+	$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@
diff --git a/src/modules/mesh/inout/0D/moduleMeshInput0D.f90 b/src/modules/mesh/inout/0D/moduleMeshInput0D.f90
new file mode 100644
index 0000000..678671a
--- /dev/null
+++ b/src/modules/mesh/inout/0D/moduleMeshInput0D.f90
@@ -0,0 +1,66 @@
+MODULE moduleMeshInput0D
+  !Creates a 0D mesh. mostly used for testing collisional processes.
+  !This mesh consists on 1 node and 1 volume in which all particles are located.
+  !No boundary conditions and no pusher should be applied to this geometry.
+  !Output should go to a single file (per species) in which each row represents an iteration.
+  !In principle, no EM field is applied.
+
+  CONTAINS
+    !Inits the 0D mesh
+    SUBROUTINE init0D(self)
+      USE moduleMesh
+      USE moduleMeshOutput0D
+      IMPLICIT NONE
+
+      CLASS(meshGeneric), INTENT(inout), TARGET:: self
+
+        IF (ASSOCIATED(meshForMCC, self)) self%printColl => printColl0D
+        SELECT TYPE(self)
+        TYPE IS(meshParticles)
+          self%printOutput => printOutput0D
+          self%printEM     => printEM0D
+
+        END SELECT
+        self%readMesh => read0D
+
+    END SUBROUTINE init0D
+
+    !Reads a 0D mesh file.
+    !No reading is actually done as the 0D mesh is a fixed one
+    SUBROUTINE read0D(self, filename)
+      USE moduleMesh
+      USE moduleMesh0D
+      IMPLICIT NONE
+
+      CLASS(meshGeneric), INTENT(inout):: self
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename !Dummy file, not used
+      REAL(8):: r(1:3)
+
+      !Allocates one node
+      self%numNodes = 1
+      ALLOCATE(self%nodes(1:1))
+      !Allocates one volume
+      self%numVols = 1
+      ALLOCATE(self%vols(1:1))
+      !Allocates matrix K
+      SELECT TYPE(self)
+      TYPE IS(meshParticles)
+        ALLOCATE(self%K(1:1, 1:1))
+        ALLOCATE(self%IPIV(1:1, 1:1))
+        self%K = 0.D0
+        self%IPIV = 0.D0
+
+      END SELECT
+
+      !Creates the node
+      ALLOCATE(meshNode0D:: self%nodes(1)%obj)
+      r = 0.D0
+      CALL self%nodes(1)%obj%init(1, r)
+
+      !Creates the volume
+      ALLOCATE(meshVol0D:: self%vols(1)%obj)
+      CALL self%vols(1)%obj%init(1, (/ 1/), self%nodes)
+
+    END SUBROUTINE read0D
+
+END MODULE moduleMeshInput0D
diff --git a/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90 b/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
new file mode 100644
index 0000000..6e490b4
--- /dev/null
+++ b/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
@@ -0,0 +1,61 @@
+MODULE moduleMeshOutput0D
+
+  CONTAINS
+    SUBROUTINE printOutput0D(self, t)
+      USE moduleMesh
+      USE moduleRefParam
+      USE moduleSpecies
+      USE moduleOutput
+      IMPLICIT NONE
+
+      CLASS(meshParticles), INTENT(in):: self
+      INTEGER, INTENT(in):: t
+      INTEGER:: i
+      TYPE(outputFormat):: output
+      CHARACTER(:), ALLOCATABLE:: fileName
+
+      DO i = 1, nSpecies
+        fileName='OUTPUT_' // species(i)%obj%name // '.dat'
+        IF (t == 0) THEN
+          OPEN(20, file = path // folder // '/' // fileName, action = 'write')
+          WRITE(20, "(A1, 8X, A1, 6(A20))") "#","t","density", "velocity", "pressure", "temperature"
+          WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
+          CLOSE(20)
+
+        END IF
+        
+        OPEN(20, file = path // folder // '/' // fileName, position = 'append', action = 'write')
+        CALL calculateOutput(self%nodes(1)%obj%output(i), output, self%nodes(1)%obj%v, species(i)%obj)
+        WRITE(20, "(I10, 6(ES20.6E3))") t, output%density, output%velocity, output%pressure, output%temperature
+        CLOSE(20)
+
+      END DO
+
+    END SUBROUTINE printOutput0D
+
+    SUBROUTINE printColl0D(self, t)
+      USE moduleMesh
+      USE moduleRefParam
+      USE moduleCaseParam
+      USE moduleCollisions
+      USE moduleOutput
+      IMPLICIT NONE
+
+      CLASS(meshGeneric), INTENT(in):: self
+      INTEGER, INTENT(in):: t
+
+    END SUBROUTINE printColl0D
+
+    SUBROUTINE printEM0D(self, t)
+      USE moduleMesh
+      USE moduleRefParam
+      USE moduleCaseParam
+      USE moduleOutput
+      IMPLICIT NONE
+
+      CLASS(meshParticles), INTENT(in):: self
+      INTEGER, INTENT(in):: t
+
+    END SUBROUTINE printEM0D
+
+END MODULE moduleMeshOutput0D
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index 59d7064..629a6f2 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -1,4 +1,5 @@
 MODULE moduleMeshInputGmsh2
+  !Reads a mesh in the Gmsh v2.0 format
 
   CONTAINS
     !Inits a mesh to use Gmsh2 format
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index bec5449..43b1ef8 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -96,8 +96,8 @@ MODULE moduleMeshOutputGmsh2
       IMPLICIT NONE
 
       CLASS(meshGeneric), INTENT(in):: self
-      INTEGER:: numEdges
       INTEGER, INTENT(in):: t
+      INTEGER:: numEdges
       INTEGER:: n
       REAL(8):: time
       CHARACTER(:), ALLOCATABLE:: fileName
diff --git a/src/modules/mesh/inout/makefile b/src/modules/mesh/inout/makefile
index 7817608..2f73e73 100644
--- a/src/modules/mesh/inout/makefile
+++ b/src/modules/mesh/inout/makefile
@@ -1,4 +1,7 @@
-all: gmsh2.o
+all: gmsh2.o 0D.o
 
 gmsh2.o:
 	$(MAKE) -C gmsh2 all
+
+0D.o:
+	$(MAKE) -C 0D all
diff --git a/src/modules/mesh/makefile b/src/modules/mesh/makefile
index 0adc8f6..a013878 100644
--- a/src/modules/mesh/makefile
+++ b/src/modules/mesh/makefile
@@ -1,4 +1,4 @@
-all: moduleMesh.o moduleMeshBoundary.o inout.o 3DCart.o 2DCyl.o 2DCart.o 1DRad.o 1DCart.o
+all: moduleMesh.o moduleMeshBoundary.o inout.o 3DCart.o 2DCyl.o 2DCart.o 1DRad.o 1DCart.o 0D.o
 
 3DCart.o: moduleMesh.o
 	$(MAKE) -C 3DCart all
@@ -15,11 +15,14 @@ all: moduleMesh.o moduleMeshBoundary.o inout.o 3DCart.o 2DCyl.o 2DCart.o 1DRad.o
 1DRad.o: moduleMesh.o
 	$(MAKE) -C 1DRad all
 
+0D.o: moduleMesh.o
+	$(MAKE) -C 0D all
+
 moduleMesh.o: moduleMesh.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
 moduleMeshBoundary.o: moduleMesh.o moduleMeshBoundary.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-inout.o: 3DCart.o 2DCyl.o 2DCart.o 1DRad.o 1DCart.o
+inout.o: 3DCart.o 2DCyl.o 2DCart.o 1DRad.o 1DCart.o 0D.o
 	$(MAKE) -C inout all
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 8ddee60..53fa341 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -193,7 +193,6 @@ MODULE moduleMesh
     END SUBROUTINE scatter_interface
 
     PURE FUNCTION gatherEF_interface(self, xi) RESULT(EF)
-      
       IMPORT:: meshVol
       CLASS(meshVol), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
@@ -655,7 +654,7 @@ MODULE moduleMesh
     END SUBROUTINE doCollisions
 
     SUBROUTINE doCoulomb(self)
-      IMPORT meshParticles
+      IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(inout):: self
 
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 9d9de19..46c4421 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -779,8 +779,11 @@ MODULE moduleInput
       CASE("1DCart")
         mesh%connectMesh => connectMesh1DCart
 
+      CASE("0D")
+        mesh%connectMesh => NULL()
+
       END SELECT
-      CALL mesh%connectMesh
+      IF (ASSOCIATED(mesh%connectMesh)) CALL mesh%connectMesh
 
       IF (doubleMesh) THEN
         meshColl%connectMesh => mesh%connectMesh
diff --git a/src/modules/moduleOutput.f90 b/src/modules/moduleOutput.f90
index a9efdc4..89df330 100644
--- a/src/modules/moduleOutput.f90
+++ b/src/modules/moduleOutput.f90
@@ -98,17 +98,14 @@ MODULE moduleOutput
             OPEN(20, file = path // folder // '/' // fileName, action = 'write')
             WRITE(20, "(A1, 8X, A1, 9X, A1, 6(A20))") "#","t","n","total","push","reset","collision","weighting","EMField"
             WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
-
-          ELSE
+            CLOSE(20)
 
           END IF
-            OPEN(20, file = path // folder // '/' // fileName, position = 'append', action = 'write')
-
-        ELSE
-          OPEN(20, file = path // folder // '/' // fileName, position = 'append', action = 'write')
 
         END IF
 
+        OPEN(20, file = path // folder // '/' // fileName, position = 'append', action = 'write')
+
         WRITE (20, "(I10, I10, 7(ES20.6E3))") t, nPartOld, tStep, tPush, tReset, tColl, tCoul, tWeight, tEMField
 
         CLOSE(20)

From e25b567d3697184aed889a9e936c72e5bf37762e Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 13 Apr 2021 16:55:50 +0200
Subject: [PATCH 026/203] Now the initial state has the same format as the mesh
 file, i.e., is easy to use a file from a previous run without processing it
 into a plain text file.

Although the previous method presented some updates for 1D small cases,
this is quite easy to do with any type of simulations and, in the
future, with different mesh formats.
---
 doc/user-manual/fpakc_UserManual.pdf          | Bin 168123 -> 166920 bytes
 doc/user-manual/fpakc_UserManual.tex          |  21 +---
 src/modules/mesh/1DCart/moduleMesh1DCart.f90  |   7 --
 src/modules/mesh/1DRad/moduleMesh1DRad.f90    |   7 --
 src/modules/mesh/2DCart/moduleMesh2DCart.f90  |   7 --
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    |   7 --
 src/modules/mesh/3DCart/moduleMesh3DCart.f90  |  19 +--
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 |  73 ++++++++++++
 src/modules/mesh/moduleMesh.f90               |  25 +++-
 src/modules/moduleInput.f90                   | 108 +++++++++++++-----
 10 files changed, 180 insertions(+), 94 deletions(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index 5f8e76a235c4ac1be1b3650ee9f1268855e71f6d..8e8309bdecbb35d44ad50be138065e6f8295665a 100644
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index a485c95..3249d02 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -618,25 +618,12 @@ make
                                   Required values are:
                                   \begin{itemize}
                                     \item \textbf{speciesName}: Character.
-                                                                Name of species.
+                                                                Name of species as defined in the object \textbf{species}.
                                     \item \textbf{initialState}: Character.
-                                                                 Plain text file that contains the information about the species macroscopic properties in the grid.
-                                                                 Initial particles are assumed to be Maxwellian.
+                                                                 Output file from previous run used as an initial state for the species.
+                                                                 The file format must be the same as in \textbf{geometry.meshType}
+                                                                 Initial particles are assumed to have a Maxwellian distribution.
                                                                  File must be located at \textbf{output.path}.
-                                                                 The file must contain the following columns in this specific order:
-                                                                 \begin{itemize}
-                                                                   \item \textit{Element}: Integer. 
-                                                                                           Identifier of the volume in the mesh.
-                                                                                           It is not required to specify empty volumes.
-                                                                   \item \textit{Density}: Real.
-                                                                                           Species density in $\unit{m^-3}$.
-                                                                   \item \textit{Velocity}: Real.
-                                                                                            Three colums representing the initial velocity in each direction.
-                                                                                            Units are $\unit{m s^-1}$.
-                                                                   \item \textit{Temperature}: Real.
-                                                                                               One column that represents the initial temperature in $\unit{K}$.
-                                                                                 
-                                                                 \end{itemize}
                                   \end{itemize}
         \end{itemize}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index a6e4248..73a4c1d 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -36,19 +36,12 @@ MODULE moduleMesh1DCart
     CONTAINS
       PROCEDURE, PASS:: detJac => detJ1DCart
       PROCEDURE, PASS:: invJac => invJ1DCart
-      PROCEDURE(fPsi_interface), DEFERRED, NOPASS:: fPsi
       PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
       PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
   
   END TYPE meshVol1DCart
 
   ABSTRACT INTERFACE
-    PURE FUNCTION fPsi_interface(xi) RESULT(fPsi)
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
-
-    END FUNCTION fPsi_interface
-
     PURE FUNCTION dPsi_interface(xi) RESULT(dPsi)
       REAL(8), INTENT(in):: xi(1:3)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 2bd9d5b..d8e5c51 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -36,19 +36,12 @@ MODULE moduleMesh1DRad
     CONTAINS
       PROCEDURE, PASS:: detJac => detJ1DRad
       PROCEDURE, PASS:: invJac => invJ1DRad
-      PROCEDURE(fPsi_interface), DEFERRED, NOPASS:: fPsi
       PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
       PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
   
   END TYPE meshVol1DRad
 
   ABSTRACT INTERFACE
-    PURE FUNCTION fPsi_interface(xi) RESULT(fPsi)
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
-
-    END FUNCTION fPsi_interface
-
     PURE FUNCTION dPsi_interface(xi) RESULT(dPsi)
       REAL(8), INTENT(in):: xi(1:3)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 89704d6..c830f8d 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -41,19 +41,12 @@ MODULE moduleMesh2DCart
     CONTAINS
       PROCEDURE, PASS:: detJac    => detJ2DCart
       PROCEDURE, PASS:: invJac    => invJ2DCart
-      PROCEDURE(fPsi_interface), DEFERRED, NOPASS:: fPsi
       PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
       PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
 
   END TYPE meshVol2DCart
 
   ABSTRACT INTERFACE
-    PURE FUNCTION fPsi_interface(xi) RESULT(fPsi)
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
-
-    END FUNCTION fPsi_interface
-
     PURE FUNCTION dPsi_interface(xi) RESULT(dPsi)
       REAL(8), INTENT(in):: xi(1:3)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 2784414..80c0665 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -41,19 +41,12 @@ MODULE moduleMesh2DCyl
     CONTAINS
       PROCEDURE, PASS:: detJac    => detJ2DCyl
       PROCEDURE, PASS:: invJac    => invJ2DCyl
-      PROCEDURE(fPsi_interface), DEFERRED, NOPASS:: fPsi
       PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
       PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
 
   END TYPE meshVol2DCyl
 
   ABSTRACT INTERFACE
-    PURE FUNCTION fPsi_interface(xi) RESULT(fPsi)
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
-
-    END FUNCTION fPsi_interface
-
     PURE FUNCTION dPsi_interface(xi) RESULT(dPsi)
       REAL(8), INTENT(in):: xi(1:3)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index ad5c65d..e65ff25 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -35,19 +35,12 @@ MODULE moduleMesh3DCart
     CONTAINS
       PROCEDURE, PASS:: detJac => detJ3DCart
       PROCEDURE, PASS:: invJac => invJ3DCart
-      PROCEDURE(fPsi_interface), DEFERRED, NOPASS:: fPsi
       PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
       PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
   
   END TYPE meshVol3DCart
 
   ABSTRACT INTERFACE
-    PURE FUNCTION fPsi_interface(xii) RESULT(fPsi)
-      REAL(8), INTENT(in):: xii(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
-
-    END FUNCTION fPsi_interface
-
     PURE FUNCTION dPsi_interface(xii) RESULT(dPsi)
       REAL(8), INTENT(in):: xii(1:3)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
@@ -327,18 +320,18 @@ MODULE moduleMesh3DCart
     END SUBROUTINE volumeTetra
 
     !Computes element functions in point xii
-    PURE FUNCTION fPsiTetra(xii) RESULT(fPsi)
+    PURE FUNCTION fPsiTetra(xi) RESULT(fPsi)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xii(1:3)
+      REAL(8), INTENT(in):: xi(1:3)
       REAL(8), ALLOCATABLE:: fPsi(:)
 
       ALLOCATE(fPsi(1:4))
 
-      fPsi(1) = 1.D0 - xii(1) - xii(2) - xii(3)
-      fPsi(2) =        xii(1)
-      fPsi(3) =                 xii(2)
-      fPsi(4) =                          xii(3)
+      fPsi(1) = 1.D0 - xi(1) - xi(2) - xi(3)
+      fPsi(2) =        xi(1)
+      fPsi(3) =                xi(2)
+      fPsi(4) =                        xi(3)
 
     END FUNCTION fPsiTetra
 
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index 59d7064..35e6fce 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -14,6 +14,7 @@ MODULE moduleMeshInputGmsh2
       TYPE IS(meshParticles)
         self%printOutput => printOutputGmsh2
         self%printEM     => printEMGmsh2
+        self%readInitial => readInitialGmsh2
 
       END SELECT
       self%readMesh    => readGmsh2
@@ -288,4 +289,76 @@ MODULE moduleMeshInputGmsh2
 
     END SUBROUTINE readGmsh2
 
+    !Reads the initial information from an output file for an species
+    SUBROUTINE readInitialGmsh2(sp, filename, density, velocity, temperature)
+      USE moduleRefParam
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: sp
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
+      REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: density
+      REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:,:):: velocity
+      REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: temperature
+      INTEGER:: i, e
+      INTEGER:: numNodes
+
+      OPEN(10, file = TRIM(filename))
+
+      !Skip first lines
+      DO i = 1, 11
+        READ(10, *)
+
+      END DO
+
+      !Reads number of nodes in file
+      READ(10, *) numNodes
+      ALLOCATE(density(1:numNodes))
+      ALLOCATE(velocity(1:numNodes, 1:3))
+      ALLOCATE(temperature(1:numNodes))
+
+      DO i = 1, numNodes
+        !Reads the density
+        READ(10, *), e, density(i)
+
+      END DO
+
+      DO i = 1, 10
+        READ(10, *)
+
+      END DO
+
+      DO i = 1, numNodes
+        !Reads the velocity
+        READ(10, *), e, velocity(i, 1:3)
+
+      END DO
+
+      !Skip uneccessary lines
+      DO i = 1, 10
+        READ(10, *)
+
+      END DO
+
+      !Assign density to nodes
+      DO i = 1, numNodes
+        !Skips pressure
+        READ(10, *)
+
+      END DO
+
+      !Skip uneccessary lines
+      DO i = 1, 10
+        READ(10, *)
+
+      END DO
+
+      !Assign density to nodes
+      DO i = 1, numNodes
+        !Skips pressure
+        READ(10, *) e, temperature(i)
+
+      END DO
+
+    END SUBROUTINE readInitialGmsh2
+
 END MODULE moduleMeshInputGmsh2
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 8ddee60..1deb764 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -161,6 +161,7 @@ MODULE moduleMesh
       PROCEDURE(initVol_interface),     DEFERRED, PASS::   init
       PROCEDURE(getNodesVol_interface), DEFERRED, PASS::   getNodes
       PROCEDURE(randPosVol_interface),  DEFERRED, PASS::   randPos
+      PROCEDURE(fPsi_interface),        DEFERRED, NOPASS:: fPsi
       PROCEDURE(scatter_interface),     DEFERRED, PASS::   scatter
       PROCEDURE(gatherEF_interface),    DEFERRED, PASS::   gatherEF
       PROCEDURE(elemK_interface),       DEFERRED, PASS::   elemK
@@ -208,6 +209,12 @@ MODULE moduleMesh
 
     END FUNCTION getNodesVol_interface
 
+    PURE FUNCTION fPsi_interface(xi) RESULT(fPsi)
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), ALLOCATABLE:: fPsi(:)
+
+    END FUNCTION fPsi_interface
+
     PURE FUNCTION elemK_interface(self) RESULT(localK)
       IMPORT:: meshVol
       CLASS(meshVol), INTENT(in):: self
@@ -271,9 +278,10 @@ MODULE moduleMesh
     TYPE(meshNodeCont), ALLOCATABLE:: nodes(:)
     !Array of volume elements
     TYPE(meshVolCont),  ALLOCATABLE:: vols(:)
-    PROCEDURE(readMesh_interface),     POINTER, PASS:: readMesh     => NULL()
-    PROCEDURE(connectMesh_interface),  POINTER, PASS:: connectMesh  => NULL()
-    PROCEDURE(printColl_interface),    POINTER, PASS:: printColl    => NULL()
+    PROCEDURE(readMesh_interface),     POINTER, PASS::   readMesh     => NULL()
+    PROCEDURE(readInitial_interface),  POINTER, NOPASS:: readInitial  => NULL()
+    PROCEDURE(connectMesh_interface),  POINTER, PASS::   connectMesh  => NULL()
+    PROCEDURE(printColl_interface),    POINTER, PASS::   printColl    => NULL()
     CONTAINS
       PROCEDURE, PASS:: doCollisions
 
@@ -289,6 +297,15 @@ MODULE moduleMesh
 
     END SUBROUTINE readMesh_interface
 
+    SUBROUTINE readInitial_interface(sp, filename, density, velocity, temperature)
+      INTEGER, INTENT(in):: sp
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
+      REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: density
+      REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:,:):: velocity
+      REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: temperature
+
+    END SUBROUTINE readInitial_interface
+
     !Connects volume and edges to the mesh
     SUBROUTINE connectMesh_interface(self)
       IMPORT meshGeneric
@@ -655,8 +672,6 @@ MODULE moduleMesh
     END SUBROUTINE doCollisions
 
     SUBROUTINE doCoulomb(self)
-      IMPORT meshParticles
-
       CLASS(meshParticles), INTENT(inout):: self
 
     END SUBROUTINE doCoulomb
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 9d9de19..8699f69 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -206,7 +206,6 @@ MODULE moduleInput
       CALL config%get(object // '.WeightingScheme', WSType, found)
       CALL solver%initWS(WSType)
 
-
       !Makes tau(s) non-dimensional
       tau = tau / ti_ref
       tauMin = tauMin / ti_ref
@@ -219,7 +218,6 @@ MODULE moduleInput
       !Read initial state for species
       CALL verboseError('Reading Initial state...')
       CALL readInitial(config)
-      CALL checkStatus(config, "readInitial")
 
     END SUBROUTINE readCase
 
@@ -237,14 +235,21 @@ MODULE moduleInput
       LOGICAL:: found
       CHARACTER(:), ALLOCATABLE:: object
       INTEGER:: nInitial
-      INTEGER:: i, p, e
+      INTEGER:: i, j, p, e
       CHARACTER(LEN=2):: iString
       CHARACTER(:), ALLOCATABLE:: spName
       INTEGER:: sp
       CHARACTER(:), ALLOCATABLE:: spFile
-      INTEGER:: stat
-      CHARACTER(100):: dummy
-      REAL(8):: density, velocity(1:3), temperature
+      CHARACTER(:), ALLOCATABLE:: filename
+      REAL(8), ALLOCATABLE, DIMENSION(:):: density, temperature
+      REAL(8), ALLOCATABLE, DIMENSION(:,:):: velocity
+      INTEGER, ALLOCATABLE, DIMENSION(:):: nodes
+      INTEGER:: nNodes
+      REAL(8), ALLOCATABLE, DIMENSION(:):: source, fPsi
+      !Density at the volume centroid
+      REAL(8):: densityCen
+      !Mean velocity and temperature at particle position
+      REAL(8):: velocityXi(1:3), temperatureXi
       INTEGER:: nNewPart = 0.D0
       TYPE(particle), POINTER:: partNew
       REAL(8):: vTh
@@ -260,38 +265,76 @@ MODULE moduleInput
           CALL config%get(object // '.speciesName', spName, found)
           sp = speciesName2Index(spName)
           CALL config%get(object // '.initialState', spFile, found)
-          OPEN (10, FILE = path // spFile, ACTION = 'READ')
-          DO
-            READ(10, '(A)', IOSTAT = stat) dummy
-            !If EoF, exit reading
-            IF (stat /= 0) EXIT
-            !If comment, skip
-            IF (INDEX(dummy,'#') /= 0) CYCLE
-            !Go up one line
-            BACKSPACE(10)
-            !Read information
-            READ(10, *) e, density, velocity, temperature
+          !Reads node values at the nodes
+          filename = path // spFile
+          CALL mesh%readInitial(sp, filename, density, velocity, temperature)
+          !For each volume in the node, create corresponding particles
+          DO e = 1, mesh%numVols
             !Scale variables
-            !Particles in cell volume
-            nNewPart = INT(density * (mesh%vols(e)%obj%volume*Vol_ref) / species(sp)%obj%weight)
-            !Non-dimensional velocity
-            velocity = velocity / v_ref
-            !Non-dimensional temperature
-            temperature = temperature / T_ref
-            !Non-dimensional thermal temperature
-            vTh = DSQRT(temperature/species(sp)%obj%m)
+            !Density at centroid of cell
+            nodes = mesh%vols(e)%obj%getNodes()
+            nNodes = SIZE(nodes)
+            !TODO: Procedure to obtain centroid from element (also for printing Electric Field)
+            fPsi = mesh%vols(e)%obj%fPsi((/0.D0, 0.D0, 0.D0/))
+            ALLOCATE(source(1:nNodes))
+            DO j = 1, nNodes
+              source(j) = density(nodes(j))
+
+            END DO
+            densityCen = DOT_PRODUCT(fPsi, source)
+            DEALLOCATE(fPsi)
+
+            !Calculate number of particles
+            nNewPart = INT(densityCen * (mesh%vols(e)%obj%volume*Vol_ref) / species(sp)%obj%weight)
+
             !Allocate new particles
             DO p = 1, nNewPart
               ALLOCATE(partNew)
               partNew%species => species(sp)%obj
-              partNew%v(1)    =  velocity(1) + vTh*randomMaxwellian()
-              partNew%v(2)    =  velocity(2) + vTh*randomMaxwellian()
-              partNew%v(3)    =  velocity(3) + vTh*randomMaxwellian()
-              partNew%vol     =  e
               partNew%r       =  mesh%vols(e)%obj%randPos()
               partNew%xi      =  mesh%vols(e)%obj%phy2log(partNew%r)
-              partNew%n_in    =  .TRUE.
-              partNew%weight  =  species(sp)%obj%weight
+              !Get mean velocity at particle position
+              fPsi            =  mesh%vols(e)%obj%fPsi(partNew%xi)
+              DO j = 1, nNodes
+                source(j) = velocity(nodes(j), 1)
+
+              END DO
+              velocityXi(1) = DOT_PRODUCT(fPsi, source)
+              DO j = 1, nNodes
+                source(j) = velocity(nodes(j), 2)
+
+              END DO
+              velocityXi(2) = DOT_PRODUCT(fPsi, source)
+              DO j = 1, nNodes
+                source(j) = velocity(nodes(j), 3)
+
+              END DO
+              velocityXi(3) = DOT_PRODUCT(fPsi, source)
+
+              velocityXi = velocityXi / v_ref
+
+              !Get temperature at particle position
+              DO j = 1, nNodes
+                source(j) = temperature(nodes(j))
+
+              END DO
+              temperatureXi = DOT_PRODUCT(fPsi, source)
+              temperatureXi = temperatureXi / T_ref
+
+              vTh = DSQRT(temperatureXi / species(sp)%obj%m)
+              partNew%v(1)    =  velocityXi(1) + vTh*randomMaxwellian()
+              partNew%v(2)    =  velocityXi(2) + vTh*randomMaxwellian()
+              partNew%v(3)    =  velocityXi(3) + vTh*randomMaxwellian()
+              partNew%vol     =  e
+              IF (ASSOCIATED(meshForMCC, mesh)) THEN
+                partNew%volColl = partNew%vol
+
+              ELSE
+                partNew%volColl = findCellBrute(meshColl, partNew%r)
+
+              END IF
+              partNew%n_in   =  .TRUE.
+              partNew%weight =  species(sp)%obj%weight
               !If charged species, add qm to particle
               SELECT TYPE(sp => species(sp)%obj)
               TYPE IS (speciesCharged)
@@ -305,8 +348,11 @@ MODULE moduleInput
               !Assign particle to temporal list of particles
               CALL partInitial%add(partNew)
 
+
             END DO
 
+            DEALLOCATE(source)
+
           END DO
 
         END DO

From f1d74d954c2131a5406872482a60342b4a7b80b4 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 13 Apr 2021 17:40:33 +0200
Subject: [PATCH 027/203] Implementation of 0D dummy pusher and modifications
 to input parameters to allow 0D runs.

---
 src/makefile                         |  5 ++++-
 src/modules/mesh/0D/moduleMesh0D.f90 |  7 +++++++
 src/modules/moduleInput.f90          |  4 ++++
 src/modules/moduleSolver.f90         | 14 ++++++++++++++
 4 files changed, 29 insertions(+), 1 deletion(-)

diff --git a/src/makefile b/src/makefile
index 75795c8..3a6d68a 100644
--- a/src/makefile
+++ b/src/makefile
@@ -5,11 +5,14 @@ OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/module
 			  	$(OBJDIR)/moduleCollisions.o $(OBJDIR)/moduleTable.o $(OBJDIR)/moduleParallel.o \
 			  	$(OBJDIR)/moduleEM.o $(OBJDIR)/moduleRandom.o $(OBJDIR)/moduleMath.o \
 			  	$(OBJDIR)/moduleMeshInputGmsh2.o $(OBJDIR)/moduleMeshOutputGmsh2.o \
+			  	$(OBJDIR)/moduleMeshInput0D.o $(OBJDIR)/moduleMeshOutput0D.o \
 			  	$(OBJDIR)/moduleMesh3DCart.o \
 			  	$(OBJDIR)/moduleMesh2DCyl.o  \
 			  	$(OBJDIR)/moduleMesh2DCart.o \
           $(OBJDIR)/moduleMesh1DRad.o  \
-          $(OBJDIR)/moduleMesh1DCart.o
+          $(OBJDIR)/moduleMesh1DCart.o \
+          $(OBJDIR)/moduleMesh0D.o
+
 
 all: $(OUTPUT)
 
diff --git a/src/modules/mesh/0D/moduleMesh0D.f90 b/src/modules/mesh/0D/moduleMesh0D.f90
index 3b84448..bc86719 100644
--- a/src/modules/mesh/0D/moduleMesh0D.f90
+++ b/src/modules/mesh/0D/moduleMesh0D.f90
@@ -31,6 +31,7 @@ MODULE moduleMesh0D
     !NODE FUNCTIONS
     !Init node
     SUBROUTINE initNode0D(self, n, r)
+      USE moduleSpecies
       IMPLICIT NONE
 
       CLASS(meshNode0D), INTENT(out):: self
@@ -39,6 +40,8 @@ MODULE moduleMesh0D
 
       self%n = n
 
+      ALLOCATE(self%output(1:nSpecies))
+
     END SUBROUTINE initNode0D
 
     !Get node coordinates
@@ -81,6 +84,10 @@ MODULE moduleMesh0D
       CLASS(meshVol0D), INTENT(in):: self
       INTEGER, ALLOCATABLE:: n(:)
 
+      ALLOCATE(n(1:1))
+
+      n = self%n1%n
+
     END FUNCTION getNodes0D
 
     FUNCTION randPos0D(self) RESULT(r)
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 46c4421..5272206 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -714,6 +714,7 @@ MODULE moduleInput
     SUBROUTINE readGeometry(config)
       USE moduleMesh
       USE moduleMeshInputGmsh2, ONLY: initGmsh2
+      USE moduleMeshInput0D,    ONLY: init0D
       USE moduleMesh3DCart, ONLY: connectMesh3DCart
       USE moduleMesh2DCyl,  ONLY: connectMesh2DCyl
       USE moduleMesh2DCart, ONLY: connectMesh2DCart
@@ -744,6 +745,9 @@ MODULE moduleInput
         CALL initGmsh2(mesh)
         IF (doubleMesh) CALL initGmsh2(meshColl)
 
+      CASE ("0D")
+        CALL init0D(mesh)
+
       CASE DEFAULT
         CALL criticalError("Mesh format " // meshFormat // " not recogniced", "readGeometry")
 
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index 089ae71..84fa4e2 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -102,6 +102,9 @@ MODULE moduleSolver
       CASE('1DRadCharged')
         self%pushParticle => push1DRadCharged
 
+      CASE('0D')
+        self%pushParticle => push0D
+
       CASE DEFAULT
         CALL criticalError('Pusher ' // pusherType // ' not found','initPusher')
 
@@ -483,6 +486,17 @@ MODULE moduleSolver
 
     END SUBROUTINE push1DRadCharged
 
+    !Dummy pusher for 0D geometry
+    PURE SUBROUTINE push0D(part, tauIn)
+      USE moduleSpecies
+      USE moduleEM
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+
+    END SUBROUTINE push0D
+
     SUBROUTINE doReset()
       USE moduleSpecies
       USE moduleMesh

From a681b9f5331c0cb0e5e487551260ef1d200190c9 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 13 Apr 2021 21:48:44 +0200
Subject: [PATCH 028/203] 0D Grid geometry

Implementation of the 0D grid to test collisional processes.

An OMP_LOCK was added to the nodes to properly write perform the
scattering (it is weird that multiple threads work in the same node at
the same time, but in 0D happens everytime).

Added a new case to test the 0D geometry.

User Manual updated with the new options.
---
 doc/user-manual/fpakc_UserManual.pdf          | Bin 166920 -> 169523 bytes
 doc/user-manual/fpakc_UserManual.tex          |  39 ++++++--
 runs/0D_Argon/Argon+_Initial.dat              |   2 +
 runs/0D_Argon/Argon_Initial.dat               |   2 +
 runs/0D_Argon/input.json                      |  54 ++++++++++++
 src/modules/mesh/0D/moduleMesh0D.f90          |  18 ++--
 src/modules/mesh/1DCart/moduleMesh1DCart.f90  |  28 ++++--
 src/modules/mesh/1DRad/moduleMesh1DRad.f90    |  28 ++++--
 src/modules/mesh/2DCart/moduleMesh2DCart.f90  |  83 +++++++++++-------
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    |  83 +++++++++++-------
 src/modules/mesh/3DCart/moduleMesh3DCart.f90  |  48 ++++++----
 .../mesh/inout/0D/moduleMeshInput0D.f90       |  34 +++++++
 .../mesh/inout/0D/moduleMeshOutput0D.f90      |  19 +++-
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 |   1 -
 src/modules/mesh/moduleMesh.f90               |   2 +
 src/modules/moduleCollisions.f90              |   1 -
 src/modules/moduleInput.f90                   |  16 +++-
 src/modules/moduleOutput.f90                  |   4 +-
 18 files changed, 348 insertions(+), 114 deletions(-)
 create mode 100644 runs/0D_Argon/Argon+_Initial.dat
 create mode 100644 runs/0D_Argon/Argon_Initial.dat
 create mode 100644 runs/0D_Argon/input.json

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index 8e8309bdecbb35d44ad50be138065e6f8295665a..b831bbaaed8512a866c49edfa1170d2422a88ea7 100644
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index 3249d02..ae5455f 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -10,6 +10,7 @@
 \usepackage[block=ragged,backend=bibtex]{biblatex}
 \usepackage[acronym,toc,automake]{glossaries}
 \usepackage[hidelinks]{hyperref}
+\usepackage[version=4]{mhchem}
 \hypersetup{
   breaklinks = true,                                               % Allows break links in lines
   colorlinks = true,                                               % Colours links instead of ugly boxes
@@ -373,14 +374,22 @@ make
                                \begin{itemize}
                                  \item \textbf{3DCart}: Three-dimensional grid ($x \hyphen y \hyphen z$) in Cartesian coordinates..
                                                         For \Gls{gmsh} mesh format, the coordinates $x$, $y$ and $z$ correspond to $x$, $y$ and $z$ respectively.
-                                 \item \textbf{2DCyl}: Two-dimensional grid ($z \hyphen r$) with symmetry axis at $r = 0$.
-                                                       For \Gls{gmsh} mesh format, the coordinates $x$ and $y$ correspond to  $z$ and $r$ respectively.
+                                 \item \textbf{2DCyl}:  Two-dimensional grid ($z \hyphen r$) with symmetry axis at $r = 0$.
+                                                        For \Gls{gmsh} mesh format, the coordinates $x$ and $y$ correspond to  $z$ and $r$ respectively.
                                  \item \textbf{2DCart}: Two-dimensional grid ($x \hyphen y$) in Cartesian coordinates..
                                                         For \Gls{gmsh} mesh format, the coordinates $x$ and $y$ correspond to  $x$ and $y$ respectively.
-                                 \item \textbf{1DRad}: One-dimensional grid ($r$) in radial coordinates
-                                                       For \Gls{gmsh} mesh format, the coordinates $x$ corresponds to $r$.
+                                 \item \textbf{1DRad}:  One-dimensional grid ($r$) in radial coordinates
+                                                        For \Gls{gmsh} mesh format, the coordinates $x$ corresponds to $r$.
                                  \item \textbf{1DCart}: One-dimensional grid ($x$) in Cartesian coordinates
                                                         For \Gls{gmsh} mesh format, the coordinates $x$ corresponds to $x$.
+                                 \item \textbf{0D}:     Zero dimension ficticius volume.
+                                                        Geometry used mostly to test collisional effects.
+                                                        No boundary or EM field is solved.
+                                                        No injection can be implemented.
+                                                        Initial state must be read from file.
+                                                        No mesh file is required.
+                                                        The optional argument \textbf{geometry.volume} can be used to set a ficticius volume.
+                                                        Otherwise, the volume is set to 1 in non-dimensional units.
                                \end{itemize}
           \item \textbf{meshType}: Character.
                                    Format of mesh file.
@@ -391,6 +400,10 @@ make
           \item \textbf{meshFile}: Character.
                                    Mesh filename.
                                    This file is searched in the path \textbf{output.path} and must contain the file extension.
+          \item \textbf{volume}:   Real
+                                   Units of $\unit{m^-3}$.
+                                   Used to set a ficticius volume for the \textbf{0D} geometry.
+                                   Ignored in the other cases.
         \end{itemize}
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -589,14 +602,16 @@ make
                                  \begin{itemize}
                                    \item \textbf{3DCartNeutral}: Pushes particles in a 3D Cartesian space ($x \hyphen y \hyphen z$) without any external force.
                                    \item \textbf{3DCartCharged}: Pushes particles in a 3D Cartesian space ($x \hyphen y \hyphen z$) including the effect of the electrostatic field.
-                                   \item \textbf{2DCylNeutral}: Pushes particles in a 2D cylindrical space ($z \hyphen r$) without any external force.
-                                   \item \textbf{2DCylCharged}: Pushes particles in a 2D cylindrical space ($z \hyphen r$) including the effect of the electrostatic field.
+                                   \item \textbf{2DCylNeutral}:  Pushes particles in a 2D cylindrical space ($z \hyphen r$) without any external force.
+                                   \item \textbf{2DCylCharged}:  Pushes particles in a 2D cylindrical space ($z \hyphen r$) including the effect of the electrostatic field.
                                    \item \textbf{2DCartNeutral}: Pushes particles in a 2D Cartesian space ($x \hyphen y$) without any external force.
                                    \item \textbf{2DCartCharged}: Pushes particles in a 2D Cartesian space ($x \hyphen y$) including the effect of the electrostatic field.
-                                   \item \textbf{1DRadNeutral}: Pushes particles in a 1D cylindrical space ($r$) without any external force.
-                                   \item \textbf{1DRadCharged}: Pushes particles in a 1D cylindrical space ($r$) accounting the the electrostatic field.
+                                   \item \textbf{1DRadNeutral}:  Pushes particles in a 1D cylindrical space ($r$) without any external force.
+                                   \item \textbf{1DRadCharged}:  Pushes particles in a 1D cylindrical space ($r$) accounting the the electrostatic field.
                                    \item \textbf{1DCartNeutral}: Pushes particles in a 1D Cartesian space ($x$) without any external force.
                                    \item \textbf{1DCartCharged}: Pushes particles in a 1D Cartesian space ($x$) accounting the the electrostatic field.
+                                   \item \textbf{0D}:            Dummy pusher for 0D geometry.
+                                                                 No pushing is actually done.
                                  \end{itemize}
           \item \textbf{WeightingScheme}: Character.
                                           Indicates the variable weighting scheme to be used in the simulation.
@@ -683,11 +698,19 @@ make
         \end{itemize}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   \chapter{Example runs\label{ch:exampleRuns}}
+    This chapter presents a description of the different example files distributed with \acrshort{fpakc}.
+    
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{1D Emissive Cathode (1D\_Cathode)}
       Emission from a 1D cathond in both, cartesian and radial coordinates.
       Both cases insert the same amount of electrons from the minimum coordinate and have the same boundary conditions for particles and the electrostatic field.
       This case is useful to ilustrate hoy \acrshort{fpakc} can deal with different geometries by just modifiying some parameters in the input file.
       The same mesh file (\lstinline|mesh.msh|) is used for both cases.
+      
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+    \section{0D \ce{Ar}-\ce{Ar+} Elastic Collision (0D\_Argon)}
+      Test case to check the 0D geometry that includes the elastic collision between \ce{Ar} and \ce{Ar+}.
+      Initial states are readed from the Argon\_Initial.dat and Argon+\_Initial.dat
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{ALPHIE Grid system (ALPHIE\_Grid)}
diff --git a/runs/0D_Argon/Argon+_Initial.dat b/runs/0D_Argon/Argon+_Initial.dat
new file mode 100644
index 0000000..75375d1
--- /dev/null
+++ b/runs/0D_Argon/Argon+_Initial.dat
@@ -0,0 +1,2 @@
+ #        t             density                                                  velocity            pressure         temperature
+          0             1.0E+16                                      0.0E+0 0.0E+0 0.0E+0                   0              3000
diff --git a/runs/0D_Argon/Argon_Initial.dat b/runs/0D_Argon/Argon_Initial.dat
new file mode 100644
index 0000000..8aa604f
--- /dev/null
+++ b/runs/0D_Argon/Argon_Initial.dat
@@ -0,0 +1,2 @@
+ #        t             density                                                  velocity            pressure         temperature
+          0             1.0E+16                                      0.0E+0 0.0E+0 0.0E+0                   0               300
diff --git a/runs/0D_Argon/input.json b/runs/0D_Argon/input.json
new file mode 100644
index 0000000..8e62d2a
--- /dev/null
+++ b/runs/0D_Argon/input.json
@@ -0,0 +1,54 @@
+
+{
+  "output": {
+    "path": "./runs/0D_test/",
+    "triggerOutput": 1,
+    "cpuTime": true,
+    "numColl": true,
+    "EMField": true,
+	"folder": "test"
+  },
+  "reference": {
+    "density": 1.0e16,
+    "mass": 6.633e-26,
+    "temperature": 11604.0,
+    "radius": 1.88e-10
+  },
+  "geometry": {
+    "type":     "1DCart",
+    "meshType": "0D",
+    "meshFile": "mesh.msh",
+    "volume": 1e-11
+  },
+  "species": [
+    {"name": "Argon+", "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e0},
+    {"name": "Argon",  "type": "neutral", "mass": 6.633e-26,                "weight": 1.0e0}
+  ],
+  "case": {
+    "tau":  [1.0e-6, 1.0e-6],
+    "time": 1.0e-3,
+    "pusher": ["0D", "0D"],
+    "initial": [
+      {"speciesName": "Argon+", "initialState": "Argon+_Initial.dat"},
+      {"speciesName": "Argon",  "initialState": "Argon_Initial.dat"}
+    ]
+  },
+  "interactions": {
+    "folderCollisions": "./data/collisions/",
+    "collisions": [
+      {"species_i": "Argon", "species_j": "Argon", 
+       "cTypes": [
+         {"type": "elastic", "crossSection": "EL_Ar-Ar.dat"}
+       ]},
+      {"species_i": "Argon+", "species_j": "Argon", 
+       "cTypes": [
+         {"type": "elastic", "crossSection": "EL_Ar-Ar.dat"}
+       ]}
+    ]
+  },
+  "parallel": {
+    "OpenMP":{
+      "nThreads": 5
+    }
+  }
+}
diff --git a/src/modules/mesh/0D/moduleMesh0D.f90 b/src/modules/mesh/0D/moduleMesh0D.f90
index e945f25..f51efd2 100644
--- a/src/modules/mesh/0D/moduleMesh0D.f90
+++ b/src/modules/mesh/0D/moduleMesh0D.f90
@@ -33,6 +33,7 @@ MODULE moduleMesh0D
     !Init node
     SUBROUTINE initNode0D(self, n, r)
       USE moduleSpecies
+      USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshNode0D), INTENT(out):: self
@@ -43,6 +44,8 @@ MODULE moduleMesh0D
 
       ALLOCATE(self%output(1:nSpecies))
 
+      CALL OMP_INIT_LOCK(self%lock)
+
     END SUBROUTINE initNode0D
 
     !Get node coordinates
@@ -113,19 +116,24 @@ MODULE moduleMesh0D
     SUBROUTINE scatter0D(self, part)
       USE moduleMath
       USE moduleSpecies
+      USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshVol0D), INTENT(in):: self
       CLASS(particle), INTENT(in):: part
       REAL(8):: tensorS(1:3,1:3)
-      TYPE(outputNode), POINTER:: vertex
+      CLASS(meshNode), POINTER:: node
+      INTEGER:: sp
 
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*tensorS
+      node => self%n1
+      sp   =  part%species%n
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
     END SUBROUTINE scatter0D
 
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 73a4c1d..e96150c 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -91,6 +91,7 @@ MODULE moduleMesh1DCart
     SUBROUTINE initNode1DCart(self, n, r)
       USE moduleSpecies
       USE moduleRefParam
+      USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshNode1DCart), INTENT(out):: self
@@ -105,6 +106,8 @@ MODULE moduleMesh1DCart
       !Allocates output
       ALLOCATE(self%output(1:nSpecies))
 
+      CALL OMP_INIT_LOCK(self%lock)
+
     END SUBROUTINE initNode1DCart
 
     PURE FUNCTION getCoord1DCart(self) RESULT(r)
@@ -378,26 +381,33 @@ MODULE moduleMesh1DCart
     SUBROUTINE scatterSegm(self, part)
       USE moduleMath
       USE moduleSpecies
+      USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshVol1DCartSegm), INTENT(in):: self
       CLASS(particle), INTENT(in):: part
-      TYPE(outputNode), POINTER:: vertex
       REAL(8):: w_p(1:2)
       REAL(8):: tensorS(1:3,1:3)
+      CLASS(meshNode), POINTER:: node
+      INTEGER:: sp
 
       w_p = self%weight(part%xi)
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(1)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      sp   =  part%species%n
+      node => self%n1
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n2%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(2)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
+      node => self%n2
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
     END SUBROUTINE scatterSegm
 
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index d8e5c51..99b3331 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -92,6 +92,7 @@ MODULE moduleMesh1DRad
     SUBROUTINE initNode1DRad(self, n, r)
       USE moduleSpecies
       USE moduleRefParam
+      USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshNode1DRad), INTENT(out):: self
@@ -106,6 +107,8 @@ MODULE moduleMesh1DRad
       !Allocates output
       ALLOCATE(self%output(1:nSpecies))
 
+      CALL OMP_INIT_LOCK(self%lock)
+
     END SUBROUTINE initNode1DRad
 
     PURE FUNCTION getCoord1DRad(self) RESULT(r)
@@ -390,26 +393,33 @@ MODULE moduleMesh1DRad
     SUBROUTINE scatterRad(self, part)
       USE moduleMath
       USE moduleSpecies
+      USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshVol1DRadSegm), INTENT(in):: self
       CLASS(particle), INTENT(in):: part
-      TYPE(outputNode), POINTER:: vertex
       REAL(8):: w_p(1:2)
       REAL(8):: tensorS(1:3,1:3)
+      CLASS(meshNode), POINTER:: node
+      INTEGER:: sp
 
       w_p = self%weight(part%xi)
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(1)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      sp   =  part%species%n
+      node => self%n1
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n2%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(2)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
+      node => self%n2
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(2)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(2)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(2)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
     END SUBROUTINE scatterRad
 
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index c830f8d..36a182a 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -130,6 +130,7 @@ MODULE moduleMesh2DCart
     SUBROUTINE initNode2DCart(self, n, r)
       USE moduleSpecies
       USE moduleRefParam
+      USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshNode2DCart), INTENT(out):: self
@@ -145,6 +146,8 @@ MODULE moduleMesh2DCart
       !Allocates output:
       ALLOCATE(self%output(1:nSpecies))
 
+      CALL OMP_INIT_LOCK(self%lock)
+
     END SUBROUTINE initNode2DCart
 
     !Get coordinates from node
@@ -494,36 +497,47 @@ MODULE moduleMesh2DCart
     SUBROUTINE scatterQuad(self, part)
       USE moduleMath
       USE moduleSpecies
+      USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshVol2DCartQuad), INTENT(in):: self
       CLASS(particle), INTENT(in):: part
-      TYPE(outputNode), POINTER:: vertex
       REAL(8):: w_p(1:4)
       REAL(8):: tensorS(1:3,1:3)
+      CLASS(meshNode), POINTER:: node
+      INTEGER:: sp
 
       w_p = self%weight(part%xi)
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(1)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      sp   =  part%species%n
+      node => self%n1
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n2%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(2)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
+      node => self%n2
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(2)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(2)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(2)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n3%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(3)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(3)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(3)*tensorS
+      node => self%n3
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(3)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(3)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(3)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n4%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(4)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(4)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(4)*tensorS
+      node => self%n4
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(4)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(4)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(4)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
     END SUBROUTINE scatterQuad
 
@@ -854,31 +868,40 @@ MODULE moduleMesh2DCart
     SUBROUTINE scatterTria(self, part)
       USE moduleMath
       USE moduleSpecies
+      USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshVol2DCartTria), INTENT(in):: self
       CLASS(particle), INTENT(in):: part
-      TYPE(outputNode), POINTER:: vertex
       REAL(8):: w_p(1:3)
       REAL(8):: tensorS(1:3,1:3)
+      CLASS(meshNode), POINTER:: node
+      INTEGER:: sp
 
       w_p = self%weight(part%xi)
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(1)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      sp   =  part%species%n
+      node => self%n1
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n2%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(2)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
+      node => self%n2
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(2)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(2)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(2)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n3%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(3)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(3)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(3)*tensorS
+      node => self%n3
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(3)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(3)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(3)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
     END SUBROUTINE scatterTria
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 80c0665..d4e06bd 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -131,6 +131,7 @@ MODULE moduleMesh2DCyl
     SUBROUTINE initNode2DCyl(self, n, r)
       USE moduleSpecies
       USE moduleRefParam
+      USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshNode2DCyl), INTENT(out):: self
@@ -146,6 +147,8 @@ MODULE moduleMesh2DCyl
       !Allocates output:
       ALLOCATE(self%output(1:nSpecies))
 
+      CALL OMP_INIT_LOCK(self%lock)
+
     END SUBROUTINE initNode2DCyl
 
     !Get coordinates from node
@@ -515,36 +518,47 @@ MODULE moduleMesh2DCyl
     SUBROUTINE scatterQuad(self, part)
       USE moduleMath
       USE moduleSpecies
+      USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshVol2DCylQuad), INTENT(in):: self
       CLASS(particle), INTENT(in):: part
-      TYPE(outputNode), POINTER:: vertex
       REAL(8):: w_p(1:4)
       REAL(8):: tensorS(1:3,1:3)
+      CLASS(meshNode), POINTER:: node
+      INTEGER:: sp
 
       w_p = self%weight(part%xi)
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(1)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      sp   =  part%species%n
+      node => self%n1
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n2%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(2)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
+      node => self%n2
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(2)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(2)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(2)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n3%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(3)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(3)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(3)*tensorS
+      node => self%n3
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(3)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(3)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(3)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n4%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(4)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(4)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(4)*tensorS
+      node => self%n4
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(4)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(4)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(4)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
     END SUBROUTINE scatterQuad
 
@@ -884,31 +898,40 @@ MODULE moduleMesh2DCyl
     SUBROUTINE scatterTria(self, part)
       USE moduleMath
       USE moduleSpecies
+      USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshVol2DCylTria), INTENT(in):: self
       CLASS(particle), INTENT(in):: part
-      TYPE(outputNode), POINTER:: vertex
       REAL(8):: w_p(1:3)
       REAL(8):: tensorS(1:3,1:3)
+      CLASS(meshNode), POINTER:: node
+      INTEGER:: sp
 
       w_p = self%weight(part%xi)
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(1)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      sp   =  part%species%n
+      node => self%n1
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n2%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(2)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
+      node => self%n2
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(2)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(2)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(2)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n3%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(3)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(3)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(3)*tensorS
+      node => self%n3
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(3)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(3)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(3)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
     END SUBROUTINE scatterTria
 
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index e65ff25..8c6e350 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -92,6 +92,7 @@ MODULE moduleMesh3DCart
     SUBROUTINE initNode3DCart(self, n, r)
       USE moduleSpecies
       USE moduleRefParam
+      USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshNode3DCart), INTENT(out):: self
@@ -108,6 +109,8 @@ MODULE moduleMesh3DCart
       !Allocates output:
       ALLOCATE(self%output(1:nSpecies))
 
+      CALL OMP_INIT_LOCK(self%lock)
+
     END SUBROUTINE initNode3DCart
 
     !Get coordinates from node
@@ -481,36 +484,47 @@ MODULE moduleMesh3DCart
     SUBROUTINE scatterTetra(self, part)
       USE moduleMath
       USE moduleSpecies
+      USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshVol3DCartTetra), INTENT(in):: self
       CLASS(particle), INTENT(in):: part
-      TYPE(outputNode), POINTER:: vertex
       REAL(8):: w_p(1:4)
       REAL(8):: tensorS(1:3, 1:3)
+      CLASS(meshNode), POINTER:: node
+      INTEGER:: sp
 
       w_p = self%weight(part%xi)
       tensorS = outerProduct(part%v, part%v)
 
-      vertex => self%n1%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(1)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(1)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      sp   =  part%species%n
+      node => self%n1
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n2%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(2)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(2)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
+      node => self%n2
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(2)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(2)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(2)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n3%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(3)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(3)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(3)*tensorS
+      node => self%n3
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(3)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(3)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(3)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
-      vertex => self%n4%output(part%species%n)
-      vertex%den          = vertex%den          + part%weight*w_p(4)
-      vertex%mom(:)       = vertex%mom(:)       + part%weight*w_p(4)*part%v(:)
-      vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(4)*tensorS
+      node => self%n4
+      CALL OMP_SET_LOCK(node%lock)
+      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(4)
+      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(4)*part%v(:)
+      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(4)*tensorS
+      CALL OMP_UNSET_LOCK(node%lock)
 
     END SUBROUTINE scatterTetra
 
diff --git a/src/modules/mesh/inout/0D/moduleMeshInput0D.f90 b/src/modules/mesh/inout/0D/moduleMeshInput0D.f90
index 678671a..5ac0682 100644
--- a/src/modules/mesh/inout/0D/moduleMeshInput0D.f90
+++ b/src/modules/mesh/inout/0D/moduleMeshInput0D.f90
@@ -19,6 +19,7 @@ MODULE moduleMeshInput0D
         TYPE IS(meshParticles)
           self%printOutput => printOutput0D
           self%printEM     => printEM0D
+          self%readInitial => readInitial0D
 
         END SELECT
         self%readMesh => read0D
@@ -63,4 +64,37 @@ MODULE moduleMeshInput0D
 
     END SUBROUTINE read0D
 
+    SUBROUTINE readInitial0D(sp, filename, density, velocity, temperature)
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: sp
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
+      REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: density
+      REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:,:):: velocity
+      REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: temperature
+      REAL(8):: dummy
+      INTEGER:: stat
+
+      ALLOCATE(density(1:1))
+      ALLOCATE(velocity(1:1, 1:3))
+      ALLOCATE(temperature(1:1))
+
+      OPEN(10, file = TRIM(filename))
+      
+      !Finds the last line of data
+      stat = 0
+      DO WHILE (stat==0)
+        READ(10, *, iostat = stat)
+
+      END DO
+
+      !Go back two line
+      BACKSPACE(10)
+      BACKSPACE(10)
+
+      !Reads data
+      READ(10, *) dummy, density(1), velocity(1, 1:3), dummy, temperature(1)
+
+    END SUBROUTINE readInitial0D
+
 END MODULE moduleMeshInput0D
diff --git a/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90 b/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
index 6e490b4..db52de4 100644
--- a/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
+++ b/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
@@ -18,7 +18,8 @@ MODULE moduleMeshOutput0D
         fileName='OUTPUT_' // species(i)%obj%name // '.dat'
         IF (t == 0) THEN
           OPEN(20, file = path // folder // '/' // fileName, action = 'write')
-          WRITE(20, "(A1, 8X, A1, 6(A20))") "#","t","density", "velocity", "pressure", "temperature"
+          WRITE(20, "(A1, 14X, A5, A20, 40X, A20, 2(A20))") "#","t (s)","density (m^-3)", "velocity (m/s)", &
+                                                                        "pressure (Pa)", "temperature (K)"
           WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
           CLOSE(20)
 
@@ -26,7 +27,7 @@ MODULE moduleMeshOutput0D
         
         OPEN(20, file = path // folder // '/' // fileName, position = 'append', action = 'write')
         CALL calculateOutput(self%nodes(1)%obj%output(i), output, self%nodes(1)%obj%v, species(i)%obj)
-        WRITE(20, "(I10, 6(ES20.6E3))") t, output%density, output%velocity, output%pressure, output%temperature
+        WRITE(20, "(7(ES20.6E3))") REAL(t)*tauMin*ti_ref, output%density, output%velocity, output%pressure, output%temperature
         CLOSE(20)
 
       END DO
@@ -43,6 +44,20 @@ MODULE moduleMeshOutput0D
 
       CLASS(meshGeneric), INTENT(in):: self
       INTEGER, INTENT(in):: t
+      CHARACTER(:), ALLOCATABLE:: fileName
+
+      fileName='OUTPUT_Collisions.dat'
+      IF (t == 0) THEN
+        OPEN(20, file = path // folder // '/' // fileName, action = 'write')
+        WRITE(20, "(A1, 14X, A5, A20)") "#","t (s)","collisions"
+        WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
+        CLOSE(20)
+
+      END IF
+      
+      OPEN(20, file = path // folder // '/' // fileName, position = 'append', action = 'write')
+      WRITE(20, "(ES20.6E3, I20)") REAL(t)*tauMin*ti_ref, mesh%vols(1)%obj%nColl
+      CLOSE(20)
 
     END SUBROUTINE printColl0D
 
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index b446d76..d6fe4d7 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -292,7 +292,6 @@ MODULE moduleMeshInputGmsh2
 
     !Reads the initial information from an output file for an species
     SUBROUTINE readInitialGmsh2(sp, filename, density, velocity, temperature)
-      USE moduleRefParam
       IMPLICIT NONE
 
       INTEGER, INTENT(in):: sp
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 304dd86..1f6c795 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -20,6 +20,8 @@ MODULE moduleMesh
     !Output values
     TYPE(outputNode), ALLOCATABLE:: output(:)
     TYPE(emNode):: emData
+    !Lock indicator for scattering
+    INTEGER(KIND=OMP_LOCK_KIND):: lock
     CONTAINS
       PROCEDURE(initNode_interface),    DEFERRED, PASS:: init
       PROCEDURE(getCoord_interface),    DEFERRED, PASS:: getCoordinates
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index 73871ce..a2c48ca 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -193,7 +193,6 @@ MODULE moduleCollisions
       REAL(8), DIMENSION(1:3):: vCM
       REAL(8):: vp(1:3)
 
-      !eRel (in units of [m][L]^2[t]^-2
       vRel = SUM(DABS(part_i%v-part_j%v)) !TODO make function of norm1
       eRel = self%rMass*vRel**2
       sigmaVrel = self%crossSec%get(eRel)*vRel
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index fed9228..27cb16e 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -348,7 +348,6 @@ MODULE moduleInput
               !Assign particle to temporal list of particles
               CALL partInitial%add(partNew)
 
-
             END DO
 
             DEALLOCATE(source)
@@ -768,6 +767,7 @@ MODULE moduleInput
       USE moduleMesh1DCart, ONLY: connectMesh1DCart
       USE moduleErrors
       USE moduleOutput
+      USE moduleRefParam
       USE json_module
       IMPLICIT NONE
 
@@ -776,6 +776,7 @@ MODULE moduleInput
       LOGICAL:: doubleMesh
       CHARACTER(:), ALLOCATABLE:: meshFormat, meshFile
       CHARACTER(:), ALLOCATABLE:: fullPath
+      REAL(8):: volume
 
       !Firstly, indicates if a specific mesh for MC collisions is being use
       doubleMesh = ASSOCIATED(meshForMCC, meshColl)
@@ -792,6 +793,7 @@ MODULE moduleInput
         IF (doubleMesh) CALL initGmsh2(meshColl)
 
       CASE ("0D")
+        CALL config%get('geometry.meshType', meshFormat, found)
         CALL init0D(mesh)
 
       CASE DEFAULT
@@ -812,6 +814,18 @@ MODULE moduleInput
 
       END IF
 
+      !Gets the volume for a 0D mesh
+      !TODO: Try to constrain this to the inout for 0D
+      IF (meshFormat == "0D") THEN
+        CALL config%get('geometry.volume', volume, found)
+        IF (found) THEN
+          mesh%vols(1)%obj%volume = mesh%vols(1)%obj%volume*volume / Vol_ref
+          mesh%nodes(1)%obj%v     = mesh%vols(1)%obj%volume
+
+        END IF
+
+      END IF
+
       !Creates the connectivity between elements
       SELECT CASE(mesh%geometry)
       CASE("3DCart")
diff --git a/src/modules/moduleOutput.f90 b/src/modules/moduleOutput.f90
index 89df330..4a3f4da 100644
--- a/src/modules/moduleOutput.f90
+++ b/src/modules/moduleOutput.f90
@@ -96,7 +96,9 @@ MODULE moduleOutput
         IF (PRESENT(first)) THEN
           IF (first) THEN
             OPEN(20, file = path // folder // '/' // fileName, action = 'write')
-            WRITE(20, "(A1, 8X, A1, 9X, A1, 6(A20))") "#","t","n","total","push","reset","collision","weighting","EMField"
+            WRITE(20, "(A1, 8X, A1, 9X, A1, 7(A20))") "#","t","n","total (s)","push (s)","reset (s)",        &
+                                                                              "collision (s)","coulomb (s)", &
+                                                                              "weighting (s)","EMField (s)"
             WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
             CLOSE(20)
 

From b40d867d74c44da5746f3f30aaabc552c5c31889 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 13 Apr 2021 21:51:08 +0200
Subject: [PATCH 029/203] Removed innnecesary input from input file

---
 runs/0D_Argon/input.json | 5 +----
 1 file changed, 1 insertion(+), 4 deletions(-)

diff --git a/runs/0D_Argon/input.json b/runs/0D_Argon/input.json
index 8e62d2a..6940f77 100644
--- a/runs/0D_Argon/input.json
+++ b/runs/0D_Argon/input.json
@@ -3,9 +3,7 @@
   "output": {
     "path": "./runs/0D_test/",
     "triggerOutput": 1,
-    "cpuTime": true,
     "numColl": true,
-    "EMField": true,
 	"folder": "test"
   },
   "reference": {
@@ -17,7 +15,6 @@
   "geometry": {
     "type":     "1DCart",
     "meshType": "0D",
-    "meshFile": "mesh.msh",
     "volume": 1e-11
   },
   "species": [
@@ -48,7 +45,7 @@
   },
   "parallel": {
     "OpenMP":{
-      "nThreads": 5
+      "nThreads": 4
     }
   }
 }

From 7dccba590650e740bc09bde29ec0b966e5130290 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Wed, 14 Apr 2021 20:56:53 +0200
Subject: [PATCH 030/203] The normal vector in an injection is now normalized
 to 1 and it is no longer responsability of the user to ensure that the norm
 is 1.

This is a very simple fix and I do not why I did not implemented early.
---
 doc/user-manual/fpakc_UserManual.pdf | Bin 169523 -> 169476 bytes
 doc/user-manual/fpakc_UserManual.tex |   3 ++-
 src/modules/moduleInject.f90         |   6 +++---
 3 files changed, 5 insertions(+), 4 deletions(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index b831bbaaed8512a866c49edfa1170d2422a88ea7..3deffbbd0ec2212ad17decde297d989f0c2a90d8 100644
GIT binary patch
delta 17949
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index ae5455f..adaf454 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -547,13 +547,14 @@ make
                                 \begin{itemize}
                                   \item \textbf{A}: Ampere.
                                   \item \textbf{sccm}: Standard cubic centimeter.
+                                  \item \textbf{part/s}: Particles (real) per second.
                                 \end{itemize}
           \item \textbf{v}: Real.
                             Module of velocity vector, in $\unitfrac{m}{s}$.
           \item \textbf{n}: Real.
                             Array dimension $3$.
                             Direction of injection.
-                            Norm of vector must be equal $1$.
+                            This vector is normalized to $1$.
           \item \textbf{velDist}: Character.
                                   Array dimension $3$.
                                   Type of distribution function used to obtain injected particle velocity:
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 4ce168c..8c8f65d 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -89,9 +89,9 @@ MODULE moduleInject
       INTEGER:: nVolColl
 
       self%id         =  i
-      self%vMod       =  v/v_ref
-      self%n          =  n
-      self%T          =  T/T_ref
+      self%vMod       =  v / v_ref
+      self%n          =  n / NORM2(n)
+      self%T          =  T / T_ref
       self%species    => species(sp)%obj
       SELECT CASE(units)
       CASE ("sccm")

From f20cb35fc56694ce7f181d75e81592fea0784594 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 15 Apr 2021 09:47:19 +0200
Subject: [PATCH 031/203] Small modification in input for initial case.

Names have been simplified. User manual updated accordingly.
---
 doc/user-manual/fpakc_UserManual.pdf | Bin 169476 -> 169562 bytes
 doc/user-manual/fpakc_UserManual.tex |  20 ++++++++++----------
 src/modules/moduleInput.f90          |  12 +++++++-----
 3 files changed, 17 insertions(+), 15 deletions(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index 3deffbbd0ec2212ad17decde297d989f0c2a90d8..7a7e972da4d92057be59c999c03b359177f111d5 100644
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index adaf454..2c52175 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -633,13 +633,13 @@ make
                                   Determines initial values for the species.
                                   Required values are:
                                   \begin{itemize}
-                                    \item \textbf{speciesName}: Character.
-                                                                Name of species as defined in the object \textbf{species}.
-                                    \item \textbf{initialState}: Character.
-                                                                 Output file from previous run used as an initial state for the species.
-                                                                 The file format must be the same as in \textbf{geometry.meshType}
-                                                                 Initial particles are assumed to have a Maxwellian distribution.
-                                                                 File must be located at \textbf{output.path}.
+                                    \item \textbf{species}: Character.
+                                                            Name of species as defined in the object \textbf{species}.
+                                    \item \textbf{file}:    Character.
+                                                            Output file from previous run used as an initial state for the species.
+                                                            The file format must be the same as in \textbf{geometry.meshType}
+                                                            Initial particles are assumed to have a Maxwellian distribution.
+                                                            File must be located at \textbf{output.path}.
                                   \end{itemize}
         \end{itemize}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -661,8 +661,8 @@ make
                                      Each object in the array is defined by:
                                      \begin{itemize}
                                        \item \textbf{species\_i}, \textbf{species\_j}: Character.
-                                                                                     Define the two species involved in the collision processes.
-                                                                                     Order is indiferent.
+                                                                                       Define the two species involved in the collision processes.
+                                                                                       Order is indiferent.
                                        \item \textbf{cTypes}: Object.
                                                               Array.
                                                               Defines all the collisions between \textbf{species\_i} and \textbf{species\_j}.
@@ -671,7 +671,7 @@ make
                                                                 \item \textbf{type}: Character.
                                                                                      Collision type.
                                                                                      Accepted values are \textbf{elastic}, \textbf{chargeExchange}, \textbf{ionization} and \textbf{recombination}.
-                                                                                     Please refer to Sec. \ref{ssec:collisions} for a description of the different collision types.
+                                                                                     Please refer to Sec.~\ref{ssec:collisions} for a description of the different collision types.
                                                                 \item \textbf{crossSection}: Character.
                                                                                              File in \textbf{interactions.folderCollisions} that contains the cross section data as a 1D table of relative energy (in $\unit{eV}$) and cross section (in $\unit{m^-2}$).
                                                                 \item \textbf{energyThreshold}: Real.
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 27cb16e..6841f4f 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -10,6 +10,7 @@ MODULE moduleInput
       USE moduleErrors
       USE moduleBoundary
       USE moduleInject
+      USE moduleOutput
       IMPLICIT NONE
 
       CHARACTER(:), ALLOCATABLE, INTENT(in):: inputFile
@@ -68,6 +69,9 @@ MODULE moduleInput
       CALL readParallel(config)
       CALL checkStatus(config, "readParallel")
 
+      !If everything is correct, creates the output folder
+      CALL EXECUTE_COMMAND_LINE('mkdir ' // path // folder )
+
     END SUBROUTINE readConfig
     
     !Checks the status of the JSON case file and, if failed, exits the execution.
@@ -218,6 +222,7 @@ MODULE moduleInput
       !Read initial state for species
       CALL verboseError('Reading Initial state...')
       CALL readInitial(config)
+      CALL checkStatus(config, "readInitial")
 
     END SUBROUTINE readCase
 
@@ -262,9 +267,9 @@ MODULE moduleInput
         DO i = 1, nInitial
           WRITE(iString, '(I2)') i
           object = 'case.initial(' // iString // ')'
-          CALL config%get(object // '.speciesName', spName, found)
+          CALL config%get(object // '.species', spName, found)
           sp = speciesName2Index(spName)
-          CALL config%get(object // '.initialState', spFile, found)
+          CALL config%get(object // '.file', spFile, found)
           !Reads node values at the nodes
           filename = path // spFile
           CALL mesh%readInitial(sp, filename, density, velocity, temperature)
@@ -419,9 +424,6 @@ MODULE moduleInput
       folder = folder // date_now(1:4) // '-' // date_now(5:6) // '-' // date_now(7:8) // '_' &
                       // time_now(1:2) // '.' // time_now(3:4) // '.' // time_now(5:6)
       
-      !Creates the folder
-      CALL EXECUTE_COMMAND_LINE('mkdir ' // path // folder )
-
       CALL config%get(object // '.cpuTime', timeOutput, found)
       CALL config%get(object // '.numColl', collOutput, found)
       CALL config%get(object // '.EMField', emOutput,   found)

From dee860e37b9e43e7f6a06318bd6bf98a43ee6619 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sat, 17 Apr 2021 10:45:52 +0200
Subject: [PATCH 032/203] Implementation of initial iteration.

An initial simulation time can be provided in the input file. This is
useful when restarting a simulation from a previous file. If no
initial time is provided, the value 0 is used.
---
 doc/user-manual/fpakc_UserManual.pdf          | Bin 169562 -> 169499 bytes
 doc/user-manual/fpakc_UserManual.tex          |   9 +++--
 src/fpakc.f90                                 |   6 ++--
 .../inout/gmsh2/moduleMeshOutputGmsh2.f90     |   8 ++---
 src/modules/moduleCaseParam.f90               |   4 +--
 src/modules/moduleInput.f90                   |  31 ++++++++++--------
 src/modules/moduleSolver.f90                  |   6 ++--
 7 files changed, 38 insertions(+), 26 deletions(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index 2c52175..6477cff 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -595,8 +595,13 @@ make
                               Array dimension 'number of species'.
                               Defines the different time steps for each species.
                               Even if all time steps are equal, they need to be defined as an array.
-          \item \textbf{time}: Real.
-                               Total simulation time in $\unit{s}$.
+          \item \textbf{finalTime}: Real.
+                                    Units of $\unit{s}$.
+                                    Final simulation time.
+          \item \textbf{initialTime}: Real.
+                                      Units of $\unit{s}$.
+                                      Initial simulation time.
+                                      If no value is provided, the initial time is set to $\unit[0]{s}$.
           \item \textbf{pusher}: Character.
                                  Array dimension 'number of species'.
                                  Indicates the type of pusher used for each species:
diff --git a/src/fpakc.f90 b/src/fpakc.f90
index 4028ba9..308a0b5 100644
--- a/src/fpakc.f90
+++ b/src/fpakc.f90
@@ -11,7 +11,7 @@ PROGRAM fpakc
   IMPLICIT NONE
 
   ! t = time step
-  INTEGER:: t = 0
+  INTEGER:: t
   ! arg1 = Input argument 1 (input file)
   CHARACTER(200):: arg1
   ! inputFile = path+name of input file
@@ -26,6 +26,8 @@ PROGRAM fpakc
 
   !Reads the json configuration file
   CALL readConfig(inputFile)
+  !Do '0' iteration
+  t = tInitial
 
   !$OMP PARALLEL DEFAULT(SHARED)
   !$OMP SINGLE
@@ -45,7 +47,7 @@ PROGRAM fpakc
   CALL doOutput(t)
   CALL verboseError('Starting main loop...')
   !$OMP PARALLEL DEFAULT(SHARED) 
-  DO t = 1, tmax
+  DO t = tInitial + 1, tFinal
     !Insert new particles and push them
     !$OMP SINGLE
     tStep = omp_get_wtime()
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index 43b1ef8..92d4a5b 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -29,7 +29,7 @@ MODULE moduleMeshOutputGmsh2
         WRITE(60, "(A)") '$EndMeshFormat'
         WRITE(60, "(A)") '$NodeData'
         WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"Density ' // species(i)%obj%name // ' (m^-3)"'
+        WRITE(60, "(A)") '"' // species(i)%obj%name // ' density (m^-3)"'
         WRITE(60, *) 1
         WRITE(60, *) time
         WRITE(60, *) 3
@@ -43,7 +43,7 @@ MODULE moduleMeshOutputGmsh2
         WRITE(60, "(A)") '$EndNodeData'
         WRITE(60, "(A)") '$NodeData'
         WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"Velocity ' // species(i)%obj%name // ' (m/s)"'
+        WRITE(60, "(A)") '"' // species(i)%obj%name // ' velocity (m/s)"'
         WRITE(60, *) 1
         WRITE(60, *) time
         WRITE(60, *) 3
@@ -56,7 +56,7 @@ MODULE moduleMeshOutputGmsh2
         WRITE(60, "(A)") '$EndNodeData'
         WRITE(60, "(A)") '$NodeData'
         WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"Pressure ' // species(i)%obj%name // ' (Pa)"'
+        WRITE(60, "(A)") '"' // species(i)%obj%name // ' pressure (Pa)"'
         WRITE(60, *) 1
         WRITE(60, *) time
         WRITE(60, *) 3
@@ -69,7 +69,7 @@ MODULE moduleMeshOutputGmsh2
         WRITE(60, "(A)") '$EndNodeData'
         WRITE(60, "(A)") '$NodeData'
         WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"Temperature ' // species(i)%obj%name // ' (K)"'
+        WRITE(60, "(A)") '"' // species(i)%obj%name // ' temperature (K)"'
         WRITE(60, *) 1
         WRITE(60, *) time
         WRITE(60, *) 3
diff --git a/src/modules/moduleCaseParam.f90 b/src/modules/moduleCaseParam.f90
index 5f1023a..c8df0e4 100644
--- a/src/modules/moduleCaseParam.f90
+++ b/src/modules/moduleCaseParam.f90
@@ -1,7 +1,7 @@
 !Problems of the case
 MODULE moduleCaseParam
-  !Maximum number of iterations and number of species
-  INTEGER:: tmax
+  !Final and initial iterations
+  INTEGER:: tFinal, tInitial = 0
   REAL(8), ALLOCATABLE:: tau(:)
   REAL(8):: tauMin
 
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 6841f4f..b63427c 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -22,7 +22,7 @@ MODULE moduleInput
       !Loads the config file
       CALL verboseError('Loading input file...')
       CALL config%load(filename = inputFile)
-      CALL checkStatus(config, "load")
+      CALL checkStatus(config, "loading")
 
       !Reads reference parameters
       CALL verboseError('Reading Reference parameters...')
@@ -151,7 +151,8 @@ MODULE moduleInput
       TYPE(json_file), INTENT(inout):: config
       LOGICAL:: found
       CHARACTER(:), ALLOCATABLE:: object
-      REAL(8):: time !simulation time in [t]
+      !simulation final and initial times in [t]
+      REAL(8):: finalTime, initialTime
       CHARACTER(:), ALLOCATABLE:: pusherType, EMType, WSType
       INTEGER:: nTau, nSolver
       INTEGER:: i
@@ -176,11 +177,15 @@ MODULE moduleInput
       END IF
       tauMin = MINVAL(tau)
 
-      !Gets the simulation time
-      CALL config%get(object // '.time', time, found)
-      IF (.NOT. found) CALL criticalError('Required parameter time not found','readCase')
+      !Gets the simulation final time
+      CALL config%get(object // '.finalTime', finalTime, found)
+      IF (.NOT. found) CALL criticalError('Required parameter finalTime not found','readCase')
       !Convert simulation time to number of iterations
-      tmax = INT(time/tauMin)
+      tFinal = INT(finalTime / tauMin)
+
+      !Gets the simulation initial time
+      CALL config%get(object // '.initialTime', initialTime, found)
+      IF (found) tInitial = INT(initialTime / tauMin)
 
       !Gest the pusher for each species
       CALL config%info(object // '.pusher', found, n_children = nSolver)
@@ -215,7 +220,7 @@ MODULE moduleInput
       tauMin = tauMin / ti_ref
 
       !Sets the format of output files accordint to iteration number
-      iterationDigits = INT(LOG10(REAL(tmax))) + 1
+      iterationDigits = INT(LOG10(REAL(tFinal))) + 1
       WRITE(tString, '(I1)') iterationDigits
       iterationFormat = "(I" // tString // "." // tString // ")"
 
@@ -327,10 +332,10 @@ MODULE moduleInput
               temperatureXi = temperatureXi / T_ref
 
               vTh = DSQRT(temperatureXi / species(sp)%obj%m)
-              partNew%v(1)    =  velocityXi(1) + vTh*randomMaxwellian()
-              partNew%v(2)    =  velocityXi(2) + vTh*randomMaxwellian()
-              partNew%v(3)    =  velocityXi(3) + vTh*randomMaxwellian()
-              partNew%vol     =  e
+              partNew%v(1)    = velocityXi(1) + vTh*randomMaxwellian()
+              partNew%v(2)    = velocityXi(2) + vTh*randomMaxwellian()
+              partNew%v(3)    = velocityXi(3) + vTh*randomMaxwellian()
+              partNew%vol     = e
               IF (ASSOCIATED(meshForMCC, mesh)) THEN
                 partNew%volColl = partNew%vol
 
@@ -338,8 +343,8 @@ MODULE moduleInput
                 partNew%volColl = findCellBrute(meshColl, partNew%r)
 
               END IF
-              partNew%n_in   =  .TRUE.
-              partNew%weight =  species(sp)%obj%weight
+              partNew%n_in   = .TRUE.
+              partNew%weight = species(sp)%obj%weight
               !If charged species, add qm to particle
               SELECT TYPE(sp => species(sp)%obj)
               TYPE IS (speciesCharged)
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index 84fa4e2..0f78a5e 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -833,7 +833,7 @@ MODULE moduleSolver
 
       counterOutput = counterOutput + 1
       IF (counterOutput >= triggerOutput .OR. &
-          t == tmax .OR. t == 0) THEN
+          t == tFinal .OR. t == tInitial) THEN
 
         !Resets output counter
         counterOutput=0
@@ -841,7 +841,7 @@ MODULE moduleSolver
         CALL mesh%printOutput(t)
         IF (ASSOCIATED(meshForMCC)) CALL meshForMCC%printColl(t)
         CALL mesh%printEM(t)
-        WRITE(*, "(5X,A21,I10,A1,I10)") "t/tmax: ",    t,       "/", tmax
+        WRITE(*, "(5X,A21,I10,A1,I10)") "t/tFinal: ", t, "/", tFinal
         WRITE(*, "(5X,A21,I10)")        "Particles: ", nPartOld
         IF (t == 0) THEN
           WRITE(*, "(5X,A21,F8.1,A2)")   "     init time: ",    1.D3*tStep, "ms"
@@ -861,7 +861,7 @@ MODULE moduleSolver
 
       counterCPUTime = counterCPUTime + 1
       IF (counterCPUTime >= triggerCPUTime .OR. &
-          t == tmax .OR. t == 0) THEN
+          t == tFinal .OR. t == tInitial) THEN
 
         !Reset CPU Time counter
         counterCPUTime = 0

From 027b346a842b22b18c2ff9e2fd34eb8925954860 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Wed, 21 Apr 2021 16:01:01 +0200
Subject: [PATCH 033/203] Copy input files to output folder

After reading the input, the code copies the JSON input file but the
mesh(es) to the output directory.
---
 src/modules/mesh/moduleMesh.f90 |  5 +++++
 src/modules/moduleInput.f90     | 21 ++++++++++++++-------
 2 files changed, 19 insertions(+), 7 deletions(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 1f6c795..1b1f70a 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -417,6 +417,11 @@ MODULE moduleMesh
 
   END INTERFACE
 
+  !Logical to indicate if an specific mesh for MC Collisions is used
+  LOGICAL:: doubleMesh
+  !Complete path for the two meshes
+  CHARACTER(:), ALLOCATABLE:: pathMeshColl, pathMeshParticle
+
   CONTAINS
     !Constructs the global K matrix
     SUBROUTINE constructGlobalK(self)
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index b63427c..b420861 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -11,6 +11,7 @@ MODULE moduleInput
       USE moduleBoundary
       USE moduleInject
       USE moduleOutput
+      USE moduleMesh
       IMPLICIT NONE
 
       CHARACTER(:), ALLOCATABLE, INTENT(in):: inputFile
@@ -71,6 +72,14 @@ MODULE moduleInput
 
       !If everything is correct, creates the output folder
       CALL EXECUTE_COMMAND_LINE('mkdir ' // path // folder )
+      !Copies input file to output folder
+      CALL EXECUTE_COMMAND_LINE('cp ' // inputFile // ' ' // path // folder)
+      !Copies particle mesh
+      CALL EXECUTE_COMMAND_LINE('cp ' // pathMeshParticle // ' ' // path // folder)
+      IF (doubleMesh) THEN
+        CALL EXECUTE_COMMAND_LINE('cp ' // pathMeshColl // ' ' // path // folder)
+
+      END IF
 
     END SUBROUTINE readConfig
     
@@ -780,9 +789,7 @@ MODULE moduleInput
 
       TYPE(json_file), INTENT(inout):: config
       LOGICAL:: found
-      LOGICAL:: doubleMesh
       CHARACTER(:), ALLOCATABLE:: meshFormat, meshFile
-      CHARACTER(:), ALLOCATABLE:: fullPath
       REAL(8):: volume
 
       !Firstly, indicates if a specific mesh for MC collisions is being use
@@ -810,14 +817,14 @@ MODULE moduleInput
 
       !Reads the mesh file
       CALL config%get('geometry.meshFile', meshFile, found)
-      fullpath = path // meshFile
-      CALL mesh%readMesh(fullPath)
-      DEALLOCATE(fullPath, meshFile)
+      pathMeshParticle = path // meshFile
+      CALL mesh%readMesh(pathMeshParticle)
+      DEALLOCATE(meshFile)
       IF (doubleMesh) THEN
         !Reads the mesh file for collisions
         CALL config%get('interactions.meshCollisions', meshFile, found)
-        fullpath = path // meshFile
-        CALL meshColl%readMesh(fullPath)
+        pathMeshColl = path // meshFile
+        CALL meshColl%readMesh(pathMeshColl)
 
       END IF
 

From 35bd61fda9088b235b6faaedcca61a3b34fbee05 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Wed, 21 Apr 2021 23:40:58 +0200
Subject: [PATCH 034/203] Common scatter subroutine

All subroutines of scattering particle properties to the nodes of a
volume have been converged into one in moduleMesh.
---
 src/modules/mesh/0D/moduleMesh0D.f90         |  25 ----
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 |  45 --------
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   |  45 --------
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 115 -------------------
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   | 115 -------------------
 src/modules/mesh/3DCart/moduleMesh3DCart.f90 |  58 ----------
 src/modules/mesh/moduleMesh.f90              |  36 +++++-
 src/modules/moduleInject.f90                 |   2 +-
 src/modules/moduleInput.f90                  |   6 +-
 9 files changed, 39 insertions(+), 408 deletions(-)

diff --git a/src/modules/mesh/0D/moduleMesh0D.f90 b/src/modules/mesh/0D/moduleMesh0D.f90
index f51efd2..79939cd 100644
--- a/src/modules/mesh/0D/moduleMesh0D.f90
+++ b/src/modules/mesh/0D/moduleMesh0D.f90
@@ -18,7 +18,6 @@ MODULE moduleMesh0D
       PROCEDURE, PASS:: getNodes    => getNodes0D
       PROCEDURE, PASS:: randPos     => randPos0D
       PROCEDURE, NOPASS:: fPsi      => fPsi0D
-      PROCEDURE, PASS:: scatter     => scatter0D
       PROCEDURE, PASS:: gatherEF    => gatherEF0D
       PROCEDURE, PASS:: elemK       => elemK0D
       PROCEDURE, PASS:: elemF       => elemF0D
@@ -113,30 +112,6 @@ MODULE moduleMesh0D
 
     END FUNCTION fPsi0D
 
-    SUBROUTINE scatter0D(self, part)
-      USE moduleMath
-      USE moduleSpecies
-      USE OMP_LIB
-      IMPLICIT NONE
-
-      CLASS(meshVol0D), INTENT(in):: self
-      CLASS(particle), INTENT(in):: part
-      REAL(8):: tensorS(1:3,1:3)
-      CLASS(meshNode), POINTER:: node
-      INTEGER:: sp
-
-      tensorS = outerProduct(part%v, part%v)
-
-      node => self%n1
-      sp   =  part%species%n
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-    END SUBROUTINE scatter0D
-
     PURE FUNCTION gatherEF0D(self, xi) RESULT(EF)
       IMPLICIT NONE
 
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index e96150c..24b7287 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -75,9 +75,7 @@ MODULE moduleMesh1DCart
       PROCEDURE, PASS::   partialDer  => partialDerSegm
       PROCEDURE, PASS::   elemK       => elemKSegm
       PROCEDURE, PASS::   elemF       => elemFSegm
-      PROCEDURE, NOPASS:: weight      => weightSegm
       PROCEDURE, NOPASS:: inside      => insideSegm
-      PROCEDURE, PASS::   scatter     => scatterSegm
       PROCEDURE, PASS::   gatherEF    => gatherEFSegm
       PROCEDURE, PASS::   getNodes    => getNodesSegm
       PROCEDURE, PASS::   phy2log     => phy2logSegm
@@ -357,16 +355,6 @@ MODULE moduleMesh1DCart
 
     END FUNCTION elemFSegm
 
-    PURE FUNCTION weightSegm(xi) RESULT(w)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: w(1:2)
-
-      w = fPsiSegm(xi)
-
-    END FUNCTION weightSegm
-
     PURE FUNCTION insideSegm(xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -378,39 +366,6 @@ MODULE moduleMesh1DCart
 
     END FUNCTION insideSegm
 
-    SUBROUTINE scatterSegm(self, part)
-      USE moduleMath
-      USE moduleSpecies
-      USE OMP_LIB
-      IMPLICIT NONE
-
-      CLASS(meshVol1DCartSegm), INTENT(in):: self
-      CLASS(particle), INTENT(in):: part
-      REAL(8):: w_p(1:2)
-      REAL(8):: tensorS(1:3,1:3)
-      CLASS(meshNode), POINTER:: node
-      INTEGER:: sp
-
-      w_p = self%weight(part%xi)
-      tensorS = outerProduct(part%v, part%v)
-
-      sp   =  part%species%n
-      node => self%n1
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n2
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-    END SUBROUTINE scatterSegm
-
     !Gathers EF at position Xii
     PURE FUNCTION gatherEFSegm(self, xi) RESULT(EF)
       IMPLICIT NONE
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 99b3331..7567ab9 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -76,9 +76,7 @@ MODULE moduleMesh1DRad
       PROCEDURE, PASS::   partialDer  => partialDerRad
       PROCEDURE, PASS::   elemK       => elemKRad
       PROCEDURE, PASS::   elemF       => elemFRad
-      PROCEDURE, NOPASS:: weight      => weightRad
       PROCEDURE, NOPASS:: inside      => insideRad
-      PROCEDURE, PASS::   scatter     => scatterRad
       PROCEDURE, PASS::   gatherEF    => gatherEFRad
       PROCEDURE, PASS::   getNodes    => getNodesRad
       PROCEDURE, PASS::   phy2log     => phy2logRad
@@ -369,16 +367,6 @@ MODULE moduleMesh1DRad
 
     END FUNCTION elemFRad
 
-    PURE FUNCTION weightRad(xi) RESULT(w)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: w(1:2)
-
-      w = fPsiRad(xi)
-
-    END FUNCTION weightRad
-
     PURE FUNCTION insideRad(xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -390,39 +378,6 @@ MODULE moduleMesh1DRad
 
     END FUNCTION insideRad
 
-    SUBROUTINE scatterRad(self, part)
-      USE moduleMath
-      USE moduleSpecies
-      USE OMP_LIB
-      IMPLICIT NONE
-
-      CLASS(meshVol1DRadSegm), INTENT(in):: self
-      CLASS(particle), INTENT(in):: part
-      REAL(8):: w_p(1:2)
-      REAL(8):: tensorS(1:3,1:3)
-      CLASS(meshNode), POINTER:: node
-      INTEGER:: sp
-
-      w_p = self%weight(part%xi)
-      tensorS = outerProduct(part%v, part%v)
-
-      sp   =  part%species%n
-      node => self%n1
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n2
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(2)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(2)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(2)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-    END SUBROUTINE scatterRad
-
     !Gathers EF at position Xii
     PURE FUNCTION gatherEFRad(self, xi) RESULT(EF)
       IMPLICIT NONE
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 36a182a..ff17688 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -83,9 +83,7 @@ MODULE moduleMesh2DCart
       PROCEDURE, PASS::   partialDer  => partialDerQuad
       PROCEDURE, PASS::   elemK       => elemKQuad
       PROCEDURE, PASS::   elemF       => elemFQuad
-      PROCEDURE, NOPASS:: weight      => weightQuad
       PROCEDURE, NOPASS:: inside      => insideQuad
-      PROCEDURE, PASS::   scatter     => scatterQuad
       PROCEDURE, PASS::   gatherEF    => gatherEFQuad
       PROCEDURE, PASS::   getNodes    => getNodesQuad
       PROCEDURE, PASS::   phy2log     => phy2logQuad
@@ -114,9 +112,7 @@ MODULE moduleMesh2DCart
       PROCEDURE, PASS::   partialDer  => partialDerTria
       PROCEDURE, PASS::   elemK       => elemKTria
       PROCEDURE, PASS::   elemF       => elemFTria
-      PROCEDURE, NOPASS:: weight      => weightTria
       PROCEDURE, NOPASS:: inside      => insideTria
-      PROCEDURE, PASS::   scatter     => scatterTria
       PROCEDURE, PASS::   gatherEF    => gatherEFTria
       PROCEDURE, PASS::   getNodes    => getNodesTria
       PROCEDURE, PASS::   phy2log     => phy2logTria
@@ -470,17 +466,6 @@ MODULE moduleMesh2DCart
 
     END FUNCTION elemFQuad
 
-    !Computes weights in the element nodes
-    PURE FUNCTION weightQuad(xi) RESULT(w)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: w(1:4)
-
-      w = fPsiQuad(xi)
-
-    END FUNCTION weightQuad
-
     !Checks if a particle is inside a quad element
     PURE FUNCTION insideQuad(xi) RESULT(ins)
       IMPLICIT NONE
@@ -493,54 +478,6 @@ MODULE moduleMesh2DCart
 
     END FUNCTION insideQuad
 
-    !Scatter properties of particle into element nodes
-    SUBROUTINE scatterQuad(self, part)
-      USE moduleMath
-      USE moduleSpecies
-      USE OMP_LIB
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCartQuad), INTENT(in):: self
-      CLASS(particle), INTENT(in):: part
-      REAL(8):: w_p(1:4)
-      REAL(8):: tensorS(1:3,1:3)
-      CLASS(meshNode), POINTER:: node
-      INTEGER:: sp
-
-      w_p = self%weight(part%xi)
-      tensorS = outerProduct(part%v, part%v)
-
-      sp   =  part%species%n
-      node => self%n1
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n2
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(2)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(2)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(2)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n3
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(3)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(3)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(3)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n4
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(4)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(4)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(4)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-    END SUBROUTINE scatterQuad
-
     !Gathers the electric field at position xi
     PURE FUNCTION gatherEFQuad(self,xi) RESULT(EF)
       IMPLICIT NONE
@@ -841,17 +778,6 @@ MODULE moduleMesh2DCart
 
     END FUNCTION elemFTria
 
-    !Computes weights in the element nodes
-    PURE FUNCTION weightTria(xi) RESULT(w)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: w(:)
-
-      w = fPsiTria(xi)
-
-    END FUNCTION weightTria
-
     PURE FUNCTION insideTria(xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -864,47 +790,6 @@ MODULE moduleMesh2DCart
 
     END FUNCTION insideTria
 
-    !Scatter properties of particles into element
-    SUBROUTINE scatterTria(self, part)
-      USE moduleMath
-      USE moduleSpecies
-      USE OMP_LIB
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCartTria), INTENT(in):: self
-      CLASS(particle), INTENT(in):: part
-      REAL(8):: w_p(1:3)
-      REAL(8):: tensorS(1:3,1:3)
-      CLASS(meshNode), POINTER:: node
-      INTEGER:: sp
-
-      w_p = self%weight(part%xi)
-      tensorS = outerProduct(part%v, part%v)
-
-      sp   =  part%species%n
-      node => self%n1
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n2
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(2)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(2)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(2)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n3
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(3)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(3)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(3)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-    END SUBROUTINE scatterTria
-
     !Gathers the electric field at position xi
     PURE FUNCTION gatherEFTria(self,xi) RESULT(EF)
       IMPLICIT NONE
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index d4e06bd..dcd285d 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -84,9 +84,7 @@ MODULE moduleMesh2DCyl
       PROCEDURE, PASS::   partialDer  => partialDerQuad
       PROCEDURE, PASS::   elemK       => elemKQuad
       PROCEDURE, PASS::   elemF       => elemFQuad
-      PROCEDURE, NOPASS:: weight      => weightQuad
       PROCEDURE, NOPASS:: inside      => insideQuad
-      PROCEDURE, PASS::   scatter     => scatterQuad
       PROCEDURE, PASS::   gatherEF    => gatherEFQuad
       PROCEDURE, PASS::   getNodes    => getNodesQuad
       PROCEDURE, PASS::   phy2log     => phy2logQuad
@@ -115,9 +113,7 @@ MODULE moduleMesh2DCyl
       PROCEDURE, PASS::   partialDer  => partialDerTria
       PROCEDURE, PASS::   elemK       => elemKTria
       PROCEDURE, PASS::   elemF       => elemFTria
-      PROCEDURE, NOPASS:: weight      => weightTria
       PROCEDURE, NOPASS:: inside      => insideTria
-      PROCEDURE, PASS::   scatter     => scatterTria
       PROCEDURE, PASS::   gatherEF    => gatherEFTria
       PROCEDURE, PASS::   getNodes    => getNodesTria
       PROCEDURE, PASS::   phy2log     => phy2logTria
@@ -491,17 +487,6 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION elemFQuad
 
-    !Computes weights in the element nodes
-    PURE FUNCTION weightQuad(xi) RESULT(w)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: w(1:4)
-
-      w = fPsiQuad(xi)
-
-    END FUNCTION weightQuad
-
     !Checks if a particle is inside a quad element
     PURE FUNCTION insideQuad(xi) RESULT(ins)
       IMPLICIT NONE
@@ -514,54 +499,6 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION insideQuad
 
-    !Scatter properties of particle into element nodes
-    SUBROUTINE scatterQuad(self, part)
-      USE moduleMath
-      USE moduleSpecies
-      USE OMP_LIB
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCylQuad), INTENT(in):: self
-      CLASS(particle), INTENT(in):: part
-      REAL(8):: w_p(1:4)
-      REAL(8):: tensorS(1:3,1:3)
-      CLASS(meshNode), POINTER:: node
-      INTEGER:: sp
-
-      w_p = self%weight(part%xi)
-      tensorS = outerProduct(part%v, part%v)
-
-      sp   =  part%species%n
-      node => self%n1
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n2
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(2)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(2)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(2)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n3
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(3)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(3)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(3)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n4
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(4)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(4)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(4)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-    END SUBROUTINE scatterQuad
-
     !Gathers the electric field at position xi
     PURE FUNCTION gatherEFQuad(self,xi) RESULT(EF)
       IMPLICIT NONE
@@ -871,17 +808,6 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION elemFTria
 
-    !Computes weights in the element nodes
-    PURE FUNCTION weightTria(xi) RESULT(w)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: w(:)
-
-      w = fPsiTria(xi)
-
-    END FUNCTION weightTria
-
     PURE FUNCTION insideTria(xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -894,47 +820,6 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION insideTria
 
-    !Scatter properties of particles into element
-    SUBROUTINE scatterTria(self, part)
-      USE moduleMath
-      USE moduleSpecies
-      USE OMP_LIB
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCylTria), INTENT(in):: self
-      CLASS(particle), INTENT(in):: part
-      REAL(8):: w_p(1:3)
-      REAL(8):: tensorS(1:3,1:3)
-      CLASS(meshNode), POINTER:: node
-      INTEGER:: sp
-
-      w_p = self%weight(part%xi)
-      tensorS = outerProduct(part%v, part%v)
-
-      sp   =  part%species%n
-      node => self%n1
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n2
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(2)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(2)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(2)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n3
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(3)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(3)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(3)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-    END SUBROUTINE scatterTria
-
     !Gathers the electric field at position xi
     PURE FUNCTION gatherEFTria(self,xi) RESULT(EF)
       IMPLICIT NONE
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 8c6e350..15aed4d 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -76,9 +76,7 @@ MODULE moduleMesh3DCart
       PROCEDURE, PASS::   partialDer  => partialDerTetra
       PROCEDURE, PASS::   elemK       => elemKTetra
       PROCEDURE, PASS::   elemF       => elemFTetra
-      PROCEDURE, NOPASS:: weight      => weightTetra
       PROCEDURE, NOPASS:: inside      => insideTetra
-      PROCEDURE, PASS::   scatter     => scatterTetra
       PROCEDURE, PASS::   gatherEF    => gatherEFTetra
       PROCEDURE, PASS::   getNodes    => getNodesTetra
       PROCEDURE, PASS::   phy2log     => phy2logTetra
@@ -459,15 +457,6 @@ MODULE moduleMesh3DCart
 
     END FUNCTION elemFTetra
 
-    PURE FUNCTION weightTetra(xii) RESULT(w)
-      IMPLICIT NONE
-      REAL(8), INTENT(in):: xii(1:3)
-      REAL(8), ALLOCATABLE:: w(:)
-
-      w = fPsiTetra(xii)
-
-    END FUNCTION weightTetra
-
     PURE FUNCTION insideTetra(xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -481,53 +470,6 @@ MODULE moduleMesh3DCart
       
     END FUNCTION insideTetra
 
-    SUBROUTINE scatterTetra(self, part)
-      USE moduleMath
-      USE moduleSpecies
-      USE OMP_LIB
-      IMPLICIT NONE
-
-      CLASS(meshVol3DCartTetra), INTENT(in):: self
-      CLASS(particle), INTENT(in):: part
-      REAL(8):: w_p(1:4)
-      REAL(8):: tensorS(1:3, 1:3)
-      CLASS(meshNode), POINTER:: node
-      INTEGER:: sp
-
-      w_p = self%weight(part%xi)
-      tensorS = outerProduct(part%v, part%v)
-
-      sp   =  part%species%n
-      node => self%n1
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(1)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(1)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(1)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n2
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(2)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(2)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(2)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n3
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(3)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(3)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(3)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-      node => self%n4
-      CALL OMP_SET_LOCK(node%lock)
-      node%output(sp)%den          = node%output(sp)%den          + part%weight*w_p(4)
-      node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*w_p(4)*part%v(:)
-      node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*w_p(4)*tensorS
-      CALL OMP_UNSET_LOCK(node%lock)
-
-    END SUBROUTINE scatterTetra
-
     PURE FUNCTION gatherEFTetra(self, xi) RESULT(EF)
       IMPLICIT NONE
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 1b1f70a..030f725 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -164,7 +164,7 @@ MODULE moduleMesh
       PROCEDURE(getNodesVol_interface), DEFERRED, PASS::   getNodes
       PROCEDURE(randPosVol_interface),  DEFERRED, PASS::   randPos
       PROCEDURE(fPsi_interface),        DEFERRED, NOPASS:: fPsi
-      PROCEDURE(scatter_interface),     DEFERRED, PASS::   scatter
+      PROCEDURE,                                  PASS::   scatter
       PROCEDURE(gatherEF_interface),    DEFERRED, PASS::   gatherEF
       PROCEDURE(elemK_interface),       DEFERRED, PASS::   elemK
       PROCEDURE(elemF_interface),       DEFERRED, PASS::   elemF
@@ -468,6 +468,40 @@ MODULE moduleMesh
 
     END SUBROUTINE resetOutput
 
+    !Scatters particle properties into vol nodes
+    SUBROUTINE scatter(self, part)
+      USE moduleMath
+      USE moduleSpecies
+      USE OMP_LIB
+      IMPLICIT NONE
+
+      CLASS(meshVol), INTENT(inout):: self
+      CLASS(particle), INTENT(in):: part
+      REAL(8), ALLOCATABLE:: fPsi(:)
+      INTEGER, ALLOCATABLE:: volNodes(:)
+      REAL(8):: tensorS(1:3, 1:3)
+      INTEGER:: sp
+      INTEGER:: i, nNodes
+      CLASS(meshNode), POINTER:: node
+
+      fPsi = self%fPsi(part%xi)
+      tensorS = outerProduct(part%v, part%v)
+      sp = part%species%n
+      volNodes = self%getNodes()
+      nNodes = SIZE(volNodes)
+      
+      DO i = 1, nNodes
+        node => mesh%nodes(volNodes(i))%obj
+        CALL OMP_SET_LOCK(node%lock)
+        node%output(sp)%den          = node%output(sp)%den          + part%weight*fPsi(i)
+        node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*fPsi(i)*part%v(:)
+        node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*fPsi(i)*tensorS
+        CALL OMP_UNSET_LOCK(node%lock)
+
+      END DO
+
+    END SUBROUTINE scatter
+
     !Find next cell for particle
     RECURSIVE SUBROUTINE findCell(self, part, oldCell)
       USE moduleSpecies
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 8c8f65d..9bfb35f 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -127,7 +127,7 @@ MODULE moduleInject
           et = et + 1
           self%edges(et) = mesh%edges(e)%obj%n
           !Assign connectivity between injection edge and meshColl volume
-          IF (ASSOCIATED(meshForMCC, meshColl)) THEN
+          IF (doubleMesh) THEN
             nVolColl = findCellBrute(meshColl, mesh%edges(e)%obj%randPos())
             IF (nVolColl > 0) THEN
               mesh%edges(e)%obj%eColl => meshColl%vols(nVolColl)%obj
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index b420861..34e7507 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -345,11 +345,11 @@ MODULE moduleInput
               partNew%v(2)    = velocityXi(2) + vTh*randomMaxwellian()
               partNew%v(3)    = velocityXi(3) + vTh*randomMaxwellian()
               partNew%vol     = e
-              IF (ASSOCIATED(meshForMCC, mesh)) THEN
-                partNew%volColl = partNew%vol
+              IF (doubleMesh) THEN
+                partNew%volColl = findCellBrute(meshColl, partNew%r)
 
               ELSE
-                partNew%volColl = findCellBrute(meshColl, partNew%r)
+                partNew%volColl = partNew%vol
 
               END IF
               partNew%n_in   = .TRUE.

From 9af3429395b9cb14c58408d2336f2802a06c8941 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 24 May 2021 12:37:16 +0200
Subject: [PATCH 035/203] Issue with random position in volumes

Fixed an issue in which  the position in triangular an thetrahedron
elements were not correctly being computed.

Other minor issues fixed:
  - Units in input file now do not use '/'.
  - Collisions accuratly conserve momentum.
  - Minor improvements in mass calculation in collisions.
---
 runs/0D_Argon/curve_Temperature.gp            | 64 +++++++++++++++++++
 src/modules/mesh/2DCart/moduleMesh2DCart.f90  |  2 +-
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    |  3 +-
 src/modules/mesh/3DCart/moduleMesh3DCart.f90  | 10 +--
 .../inout/gmsh2/moduleMeshOutputGmsh2.f90     |  4 +-
 src/modules/mesh/moduleMesh.f90               | 12 +---
 src/modules/moduleCollisions.f90              | 35 +++++-----
 7 files changed, 95 insertions(+), 35 deletions(-)
 create mode 100644 runs/0D_Argon/curve_Temperature.gp

diff --git a/runs/0D_Argon/curve_Temperature.gp b/runs/0D_Argon/curve_Temperature.gp
new file mode 100644
index 0000000..4f3eb76
--- /dev/null
+++ b/runs/0D_Argon/curve_Temperature.gp
@@ -0,0 +1,64 @@
+reset
+set macros
+term = 'postscript eps color enhanced'
+font = 'font "CMUSerif-Roman,20"'
+linew = 'lw 2.0'
+times='"{/Symbol \264}"'
+size_x=8.5
+size_y=5.2
+
+tmar=0.998
+bmar=0.145
+
+lmarLabel = 0.070
+
+lmar=lmarLabel+0.085
+rmar=0.97
+
+space_x=(rmar-lmar)
+
+xt_off_0=0.5
+yt_off_0=0.6
+
+set xtics nomirror offset 0.0,xt_off_0
+set mxtics 2
+
+set ytics nomirror offset yt_off_0,0.0
+set mytics 2
+
+set pointsize 1.5
+
+set style line 1  pt 4              lc rgb "#B50427" #Squares   red
+set style line 2  pt 6              lc rgb "#3B4CC1" #Circles   blue
+set style line 3  pt 1              lc rgb "#2CA02C" #Crosses   green
+set style line 4  pt 2              lc rgb "#FE7F0E" #Exes      orange
+set style line 5  pt 8              lc rgb "#D6696B" #Triangles light red
+set style line 10       lt 1 lw 2.0 lc rgb "black"   #Black solid line
+
+set terminal @term size size_x cm, size_y cm @linew @font
+
+set output "comp_temp.eps"
+
+#files
+filename1 = "OUTPUT_Argon.dat"
+filename2 = "OUTPUT_Argon+.dat"
+
+set lmargin at screen lmar 
+set rmargin at screen rmar
+
+set xrange [-0.01:1.01]
+set xtics 0.2
+set xlabel "Time (s)" offset 0.0,1.2
+
+set yrange [250:3550]
+set format y "%3.0f"
+set ytics 500
+set ylabel "Temperature (K)" offset 1.4,0.0
+
+set key width 0.5 height 0.1 spacing 1.3 samplen 0.2 box opaque font ",16"
+set key at graph 0.95, graph 0.9 right top
+
+plot filename1 u ($1):($7)                                          t "Ar"     ls 1 with lines, \
+     filename2 u ($1):($7)                                          t "Ar^{+}" ls 2 with lines, \
+     '< paste OUTPUT_Argon.dat OUTPUT_Argon+.dat' u ($1):($7 + $14) t "Sum"    ls 3 with lines
+
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index ff17688..bc60a69 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -622,7 +622,7 @@ MODULE moduleMesh2DCart
       REAL(8), ALLOCATABLE:: fPsi(:)
 
       xii(1) = random( 0.D0, 1.D0)
-      xii(2) = random( 0.D0, 1.D0)
+      xii(2) = random( 0.D0, 1.D0 - xii(1))
       xii(3) = 0.D0
 
       fPsi = self%fPsi(xii)
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index dcd285d..62933d8 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -643,10 +643,9 @@ MODULE moduleMesh2DCyl
       REAL(8), ALLOCATABLE:: fPsi(:)
 
       xii(1) = random( 0.D0, 1.D0)
-      xii(2) = random( 0.D0, 1.D0)
+      xii(2) = random( 0.D0, 1.D0 - xii(1))
       xii(3) = 0.D0
 
-      ALLOCATE(fPsi(1:3))
       fPsi = self%fPsi(xii)
 
       r(1) = DOT_PRODUCT(fPsi, self%z)
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 15aed4d..477373f 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -215,7 +215,9 @@ MODULE moduleMesh3DCart
       REAL(8):: xii(1:3)
       REAL(8):: fPsi(1:3)
 
-      xii = (/random(), random(), 0.D0 /)
+      xii(1) = random( 0.D0, 1.D0)
+      xii(2) = random( 0.D0, 1.D0 - xii(1))
+      xii(3) = 0.D0
 
       fPsi = self%fPsi(xii)
       r = (/DOT_PRODUCT(fPsi, self%x), &
@@ -294,9 +296,9 @@ MODULE moduleMesh3DCart
       REAL(8):: xii(1:3)
       REAL(8), ALLOCATABLE:: fPsi(:)
 
-      xii(1) = random(0.D0, 1.D0)
-      xii(2) = random(0.D0, 1.D0)
-      xii(3) = random(0.D0, 1.D0)
+      xii(1) = random( 0.D0, 1.D0)
+      xii(2) = random( 0.D0, 1.D0 - xii(1))
+      xii(3) = random( 0.D0, 1.D0 - xii(1) - xii(2))
 
       ALLOCATE(fPsi(1:4))
       fPsi = self%fPsi(xii)
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index 92d4a5b..4159873 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -43,7 +43,7 @@ MODULE moduleMeshOutputGmsh2
         WRITE(60, "(A)") '$EndNodeData'
         WRITE(60, "(A)") '$NodeData'
         WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"' // species(i)%obj%name // ' velocity (m/s)"'
+        WRITE(60, "(A)") '"' // species(i)%obj%name // ' velocity (m s^-1)"'
         WRITE(60, *) 1
         WRITE(60, *) time
         WRITE(60, *) 3
@@ -189,7 +189,7 @@ MODULE moduleMeshOutputGmsh2
         
         WRITE(20, "(A)") '$ElementData'
         WRITE(20, "(A)") '1'
-        WRITE(20, "(A)") '"Electric Field (V/m)"'
+        WRITE(20, "(A)") '"Electric Field (V m^-1)"'
         WRITE(20, *) 1
         WRITE(20, *) time
         WRITE(20, *) 3
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 030f725..86343f0 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -186,15 +186,6 @@ MODULE moduleMesh
 
     END SUBROUTINE initVol_interface
 
-    SUBROUTINE scatter_interface(self, part)
-      USE moduleSpecies
-      
-      IMPORT:: meshVol
-      CLASS(meshVol), INTENT(in):: self
-      CLASS(particle), INTENT(in):: part
-
-    END SUBROUTINE scatter_interface
-
     PURE FUNCTION gatherEF_interface(self, xi) RESULT(EF)
       IMPORT:: meshVol
       CLASS(meshVol), INTENT(in):: self
@@ -574,6 +565,7 @@ MODULE moduleMesh
 
     !TODO: try to combine this with the findCell for a regular mesh
     !Find the volume in which particle reside in the mesh for collisions
+    !No boundary interaction taken into account
     SUBROUTINE findCellCollMesh(part)
       USE moduleSpecies
       IMPLICIT NONE
@@ -669,7 +661,7 @@ MODULE moduleMesh
       DO e=1, self%numVols
         vol => self%vols(e)%obj
         nPart = vol%listPart_in%amount
-        !Computes iterations if there is more than one particle in the cell
+        !Calculates number of collisions if there is more than one particle in the cell
         IF (nPart > 1) THEN
           !Probability of collision
           pMax = vol%totalWeight*vol%sigmaVrelMax*tauMin/vol%volume
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index a2c48ca..6557fa7 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -5,7 +5,7 @@ MODULE moduleCollisions
   !Abstract type for collision between two particles
   TYPE, ABSTRACT:: collisionBinary
     REAL(8):: rMass !Reduced mass
-    REAL(8):: sMass !Summed mass
+    REAL(8):: sMassInv !Summed mass
     TYPE(table1D):: crossSec !cross section of collision
     CONTAINS
       PROCEDURE(collideBinary_interface), PASS, DEFERRED:: collide
@@ -169,8 +169,8 @@ MODULE moduleCollisions
       CALL collision%crossSec%convert(eV2J/(m_ref*v_ref**2), 1.D0/L_ref**2)
 
       !Calculates reduced mass
-      collision%sMass =  mass_i+mass_j
-      collision%rMass = (mass_i*mass_j)/collision%sMass
+      collision%sMassInv =  1.D0/(mass_i+mass_j)
+      collision%rMass    = (mass_i*mass_j)*collision%sMassInv
 
     END SUBROUTINE initBinaryElastic
 
@@ -180,6 +180,7 @@ MODULE moduleCollisions
       USE moduleSpecies
       USE moduleConstParam
       USE moduleRandom
+      USE moduleMath
       IMPLICIT NONE
 
       CLASS(collisionBinaryElastic), INTENT(in):: self
@@ -193,7 +194,7 @@ MODULE moduleCollisions
       REAL(8), DIMENSION(1:3):: vCM
       REAL(8):: vp(1:3)
 
-      vRel = SUM(DABS(part_i%v-part_j%v)) !TODO make function of norm1
+      vRel = NORM2(part_i%v-part_j%v)
       eRel = self%rMass*vRel**2
       sigmaVrel = self%crossSec%get(eRel)*vRel
       sigmaVrelMaxNew = sigmaVrelMaxNew + sigmaVrel
@@ -205,8 +206,8 @@ MODULE moduleCollisions
         vp  = vRel*randomDirectionVHS()
 
         !Assign velocities to particles
-        part_i%v = vCM + m_j*vp/self%sMass
-        part_j%v = vCM - m_i*vp/self%sMass
+        part_i%v = vCM + m_j*vp*self%sMassInv
+        part_j%v = vCM - m_i*vp*self%sMassInv
 
       END IF
 
@@ -238,8 +239,8 @@ MODULE moduleCollisions
       CALL collision%crossSec%convert(eV2J/(m_ref*v_ref**2), 1.D0/L_ref**2)
 
       !Calculates reduced mass
-      collision%sMass =  mass_i+mass_j
-      collision%rMass = (mass_i*mass_j)/collision%sMass
+      collision%sMassInv =  1.D0/(mass_i+mass_j)
+      collision%rMass    = (mass_i*mass_j)*collision%sMassInv
 
       !Specific parameters for ionization collision
       SELECT TYPE(collision)
@@ -269,6 +270,7 @@ MODULE moduleCollisions
       USE moduleErrors
       USE moduleList
       USE moduleRandom
+      USE moduleMath
       USE OMP_LIB
       IMPLICIT NONE
 
@@ -283,7 +285,7 @@ MODULE moduleCollisions
       REAL(8), DIMENSION(1:3):: vp_e, vp_n
 
       !eRel (in units of [m][L]^2[t]^-2
-      vRel = SUM(DABS(part_i%v-part_j%v)) !TODO make function of norm1
+      vRel = NORM2(part_i%v-part_j%v)
       eRel = self%rMass*vRel**2
       !Relative energy must be higher than threshold
       IF (eRel > self%eThreshold) THEN
@@ -370,8 +372,8 @@ MODULE moduleCollisions
       CALL collision%crossSec%convert(eV2J/(m_ref*v_ref**2), 1.D0/L_ref**2)
 
       !Calculates reduced mass
-      collision%sMass =  mass_i+mass_j
-      collision%rMass = (mass_i*mass_j)/collision%sMass
+      collision%sMassInv =  1.D0/(mass_i+mass_j)
+      collision%rMass    = (mass_i*mass_j)*collision%sMassInv
 
       !Specific parameters for ionization collision
       SELECT TYPE(collision)
@@ -401,7 +403,7 @@ MODULE moduleCollisions
       USE moduleErrors
       USE moduleList
       USE moduleRandom
-      USE OMP_LIB
+      USE moduleMath
       IMPLICIT NONE
 
       CLASS(collisionBinaryRecombination), INTENT(in):: self
@@ -414,7 +416,7 @@ MODULE moduleCollisions
       REAL(8), DIMENSION(1:3):: vp_i
 
       !eRel (in units of [m][L]^2[t]^-2
-      vRel = SUM(DABS(part_i%v-part_j%v)) !TODO make function of norm1
+      vRel = NORM2(part_i%v-part_j%v)
       eRel = self%rMass*vRel**2
       !Relative energy must be higher than threshold
       sigmaVrel = self%crossSec%get(eRel)*vRel
@@ -476,8 +478,8 @@ MODULE moduleCollisions
       CALL collision%crossSec%convert(eV2J/(m_ref*v_ref**2), 1.D0/L_ref**2)
 
       !Calculates reduced mass
-      collision%sMass =  mass_i+mass_j
-      collision%rMass = (mass_i*mass_j)/collision%sMass
+      collision%sMassInv =  1.D0/(mass_i+mass_j)
+      collision%rMass    = (mass_i*mass_j)/collision%sMassInv
 
     END SUBROUTINE initBinaryChargeExchange
 
@@ -485,6 +487,7 @@ MODULE moduleCollisions
                                            part_i, part_j)
       USE moduleSpecies
       USE moduleRandom
+      USE moduleMath
       IMPLICIT NONE
 
       CLASS(collisionBinaryChargeExchange), INTENT(in):: self
@@ -496,7 +499,7 @@ MODULE moduleCollisions
       REAL(8):: eRel !relative energy
 
       !eRel (in units of [m][L]^2[t]^-2
-      vRel = SUM(DABS(part_i%v-part_j%v)) !TODO make function of norm1
+      vRel = NORM2(part_i%v-part_j%v)
       eRel = self%rMass*vRel**2
       sigmaVrel = self%crossSec%get(eRel)*vRel
       sigmaVrelMaxNew = sigmaVrelMaxNew + sigmaVrel

From b6a7eb9cedf84575cdc71b091ab84782ec1bb038 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 15 Jun 2021 10:40:13 +0200
Subject: [PATCH 036/203] Adding a time step for collisions

A new option has been added in which MCC are computed with its own time
step.

If no time is provided, then the minimum time step of the simulation is
employed.
---
 doc/user-manual/fpakc_UserManual.pdf          | Bin 169499 -> 169553 bytes
 doc/user-manual/fpakc_UserManual.tex          |  10 ++-
 src/fpakc.f90                                 |   2 +-
 .../mesh/inout/0D/moduleMeshOutput0D.f90      |   4 +-
 .../inout/gmsh2/moduleMeshOutputGmsh2.f90     |   2 +-
 src/modules/mesh/moduleMesh.f90               |  81 ++++++++++--------
 src/modules/moduleCaseParam.f90               |   1 +
 src/modules/moduleCollisions.f90              |   3 +
 src/modules/moduleInput.f90                   |  38 ++++++--
 9 files changed, 88 insertions(+), 53 deletions(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index 99e12e789f42bdd8eb3e357819b7d27cf3d5c2eb..6b3b20a422160a8ab4b068d4c7dcc3440bc83499 100644
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index 6477cff..479efb2 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -29,8 +29,7 @@
 \makeglossaries
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-\newacronym{fpakc}{fpakc}{Finite Element PArticle Code}
+\newacronym{fpakc}{fpakc}{Finite element PArticle Code}
 \newacronym{mpi}{MPI}{Message Passing Interface}
 \newacronym{gpu}{GPU}{Graphics Processing Unit}
 \newacronym{cpu}{CPU}{Central Processing Unit}
@@ -308,14 +307,13 @@ make
       \end{lstlisting}
       to compile the code.
       If everything is correct, an executable named \textit{fpakc} will be generated.
-  
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Running the code}
       To run a case, simply execute:
       \begin{lstlisting}
 ./fpakc path/to/input-file.json
       \end{lstlisting}
-  	  in a command line from the root \acrshort{fpakc} folder.
+      in a command line from the root \acrshort{fpakc} folder.
       Substitute \lstinline|path/to/input-file.json| with the path to the input file of the case you want to run.
       The examples in the run directory are presented in Chapter \ref{ch:exampleRuns}.
 
@@ -659,6 +657,10 @@ make
                                          The file needs to be located in the folder \textbf{output.folder}.
                                          If this value is not present, the mesh defined in \textbf{geometry.meshFile} is used for \acrshort{mcc}.
                                          The format of this mesh needs to be the same as the one defined in \textbf{geometry.meshType}.
+          \item \textbf{timeStep}: Real.
+                                   Units of $\unit{s}$.
+                                   Time step to calculate MCC.
+                                   If no time is provided, the minimum time step is used.
           \item \textbf{collisions}: Object.
                                      Array.
                                      Contains the different short range interactions (\acrshort{mcc}).
diff --git a/src/fpakc.f90 b/src/fpakc.f90
index 308a0b5..8bd909b 100644
--- a/src/fpakc.f90
+++ b/src/fpakc.f90
@@ -70,7 +70,7 @@ PROGRAM fpakc
     tColl = omp_get_wtime()
     !$OMP END SINGLE
 
-    IF (ASSOCIATED(meshForMCC)) CALL meshForMCC%doCollisions()
+    IF (ASSOCIATED(meshForMCC)) CALL meshForMCC%doCollisions(t)
 
     !$OMP SINGLE
     tColl = omp_get_wtime() - tColl
diff --git a/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90 b/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
index db52de4..13e25ff 100644
--- a/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
+++ b/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
@@ -42,7 +42,7 @@ MODULE moduleMeshOutput0D
       USE moduleOutput
       IMPLICIT NONE
 
-      CLASS(meshGeneric), INTENT(in):: self
+      CLASS(meshGeneric), INTENT(inout):: self
       INTEGER, INTENT(in):: t
       CHARACTER(:), ALLOCATABLE:: fileName
 
@@ -56,7 +56,7 @@ MODULE moduleMeshOutput0D
       END IF
       
       OPEN(20, file = path // folder // '/' // fileName, position = 'append', action = 'write')
-      WRITE(20, "(ES20.6E3, I20)") REAL(t)*tauMin*ti_ref, mesh%vols(1)%obj%nColl
+      WRITE(20, "(ES20.6E3, I20)") REAL(t)*tauMin*ti_ref, self%vols(1)%obj%nColl
       CLOSE(20)
 
     END SUBROUTINE printColl0D
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index 4159873..66fe345 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -95,7 +95,7 @@ MODULE moduleMeshOutputGmsh2
       USE moduleOutput
       IMPLICIT NONE
 
-      CLASS(meshGeneric), INTENT(in):: self
+      CLASS(meshGeneric), INTENT(inout):: self
       INTEGER, INTENT(in):: t
       INTEGER:: numEdges
       INTEGER:: n
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 86343f0..77170da 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -310,7 +310,7 @@ MODULE moduleMesh
     SUBROUTINE printColl_interface(self, t)
       IMPORT meshGeneric
 
-      CLASS(meshGeneric), INTENT(in):: self
+      CLASS(meshGeneric), INTENT(inout):: self
       INTEGER, INTENT(in):: t
 
     END SUBROUTINE printColl_interface
@@ -637,7 +637,7 @@ MODULE moduleMesh
     END FUNCTION findCellBrute
 
     !Computes collisions in element
-    SUBROUTINE doCollisions(self)
+    SUBROUTINE doCollisions(self, t)
       USE moduleCollisions
       USE moduleSpecies
       USE moduleList
@@ -646,6 +646,7 @@ MODULE moduleMesh
       IMPLICIT NONE
 
       CLASS(meshGeneric), INTENT(inout), TARGET:: self
+      INTEGER, INTENT(in):: t
       INTEGER:: e
       CLASS(meshVol), POINTER:: vol
       INTEGER:: nPart !Number of particles inside the cell
@@ -657,49 +658,57 @@ MODULE moduleMesh
       REAL(8):: sigmaVrelMaxNew
       TYPE(pointerArray), ALLOCATABLE:: partTemp(:)
 
-      !$OMP DO SCHEDULE(DYNAMIC)
-      DO e=1, self%numVols
-        vol => self%vols(e)%obj
-        nPart = vol%listPart_in%amount
-        !Calculates number of collisions if there is more than one particle in the cell
-        IF (nPart > 1) THEN
-          !Probability of collision
-          pMax = vol%totalWeight*vol%sigmaVrelMax*tauMin/vol%volume
+      IF (MOD(t, everyColl) == 0) THEN
+        !Collisions need to be performed in this iteration
+        !$OMP DO SCHEDULE(DYNAMIC)
+        DO e=1, self%numVols
+          vol => self%vols(e)%obj
+          nPart = vol%listPart_in%amount
 
-          !Number of collisions in the cell
-          vol%nColl = NINT(REAL(nPart)*pMax*0.5D0)
+          !Resets the number of collisions
+          vol%nColl = 0
 
-          IF (vol%nColl > 0) THEN
-            !Converts the list of particles to an array for easy access
-            partTemp = vol%listPart_in%convert2Array()
+          !Calculates number of collisions if there is more than one particle in the cell
+          IF (nPart > 1) THEN
+            !Probability of collision
+            pMax = vol%totalWeight*vol%sigmaVrelMax*tauColl/vol%volume
 
-          END IF
+            !Number of collisions in the cell
+            vol%nColl = NINT(REAL(nPart)*pMax*0.5D0)
 
-          DO n = 1, vol%nColl
-            !Select random numbers
-            rnd = random(1, nPart)
-            part_i => partTemp(rnd)%part
-            rnd = random(1, nPart)
-            part_j => partTemp(rnd)%part
-            ij = interactionIndex(part_i%species%n, part_j%species%n)
-            sigmaVrelMaxNew = 0.D0
-            DO k = 1, interactionMatrix(ij)%amount
-              CALL interactionMatrix(ij)%collisions(k)%obj%collide(vol%sigmaVrelMax, sigmaVrelMaxNew, part_i, part_j)
-
-            END DO
-
-            !Update maximum cross section*v_rel per each collision
-            IF (sigmaVrelMaxNew > vol%sigmaVrelMax) THEN
-              vol%sigmaVrelMax = sigmaVrelMaxNew
+            IF (vol%nColl > 0) THEN
+              !Converts the list of particles to an array for easy access
+              partTemp = vol%listPart_in%convert2Array()
 
             END IF
 
-          END DO
+            DO n = 1, vol%nColl
+              !Select random numbers
+              rnd = random(1, nPart)
+              part_i => partTemp(rnd)%part
+              rnd = random(1, nPart)
+              part_j => partTemp(rnd)%part
+              ij = interactionIndex(part_i%species%n, part_j%species%n)
+              sigmaVrelMaxNew = 0.D0
+              DO k = 1, interactionMatrix(ij)%amount
+                CALL interactionMatrix(ij)%collisions(k)%obj%collide(vol%sigmaVrelMax, sigmaVrelMaxNew, part_i, part_j)
 
-        END IF
+              END DO
 
-      END DO
-      !$OMP END DO
+              !Update maximum cross section*v_rel per each collision
+              IF (sigmaVrelMaxNew > vol%sigmaVrelMax) THEN
+                vol%sigmaVrelMax = sigmaVrelMaxNew
+
+              END IF
+
+            END DO
+
+          END IF
+
+        END DO
+        !$OMP END DO
+
+      END IF
 
     END SUBROUTINE doCollisions
 
diff --git a/src/modules/moduleCaseParam.f90 b/src/modules/moduleCaseParam.f90
index c8df0e4..8df3210 100644
--- a/src/modules/moduleCaseParam.f90
+++ b/src/modules/moduleCaseParam.f90
@@ -4,6 +4,7 @@ MODULE moduleCaseParam
   INTEGER:: tFinal, tInitial = 0
   REAL(8), ALLOCATABLE:: tau(:)
   REAL(8):: tauMin
+  REAL(8):: tauColl
 
 END MODULE moduleCaseParam
 
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index 6557fa7..2f22204 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -2,6 +2,9 @@ MODULE moduleCollisions
   USE moduleSpecies
   USE moduleTable
 
+  !Integer for when collisions are computed
+  INTEGER:: everyColl
+
   !Abstract type for collision between two particles
   TYPE, ABSTRACT:: collisionBinary
     REAL(8):: rMass !Reduced mass
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 34e7507..19255dd 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -40,6 +40,11 @@ MODULE moduleInput
       CALL readSpecies(config)
       CALL checkStatus(config, "readSpecies")
 
+      !Reads case parameters
+      CALL verboseError('Reading Case parameters...')
+      CALL readCase(config)
+      CALL checkStatus(config, "readCase")
+
       !Read interactions between species
       CALL verboseError('Reading interaction between species...')
       CALL readInteractions(config)
@@ -55,10 +60,10 @@ MODULE moduleInput
       CALL readGeometry(config)
       CALL checkStatus(config, "readGeometry")
 
-      !Reads case parameters
-      CALL verboseError('Reading Case parameters...')
-      CALL readCase(config)
-      CALL checkStatus(config, "readCase")
+      !Read initial state for species
+      CALL verboseError('Reading Initial state...')
+      CALL readInitial(config)
+      CALL checkStatus(config, "readInitial")
 
       !Read injection of particles
       CALL verboseError('Reading injection of particles from boundaries...')
@@ -233,11 +238,6 @@ MODULE moduleInput
       WRITE(tString, '(I1)') iterationDigits
       iterationFormat = "(I" // tString // "." // tString // ")"
 
-      !Read initial state for species
-      CALL verboseError('Reading Initial state...')
-      CALL readInitial(config)
-      CALL checkStatus(config, "readInitial")
-
     END SUBROUTINE readCase
 
     !Reads the initial information for the species
@@ -558,6 +558,8 @@ MODULE moduleInput
       USE moduleCollisions
       USE moduleErrors
       USE moduleMesh
+      USE moduleCaseParam
+      USE moduleRefParam
       USE OMP_LIB
       USE json_module
       IMPLICIT NONE
@@ -595,6 +597,24 @@ MODULE moduleInput
 
           END IF
 
+          !Reads collision time step
+          CALL config%info('interactions.timeStep', found)
+          IF (found) THEN
+            CALL config%get('interactions.timeStep', tauColl, found)
+            tauColl  = tauColl / ti_ref
+
+          ELSE
+            tauColl = tauMin
+
+          END IF
+
+          IF (tauColl < tauMin) THEN
+            CALL criticalError('Collisional time step below minimum time step.', 'readInteractions')
+
+          END IF
+
+          everyColl = NINT(tauColl / tauMin)
+
           !Inits the MCC matrix
           CALL initInteractionMatrix(interactionMatrix)
 

From 56967dd6c7a8473437f0527f965c039e1b4f0f4a Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 29 Jun 2021 10:37:39 +0200
Subject: [PATCH 037/203] First implementation of probing method

The code nows offer the possibility to obtain the distribution function
for a specific species in a 3D velocity grid at a determined position.

This is a simple method that just scatter the particles in one cell into
the velocity grid.
---
 doc/user-manual/fpakc_UserManual.pdf | Bin 169553 -> 173252 bytes
 doc/user-manual/fpakc_UserManual.tex | 196 +++++++++++++---------
 src/fpakc.f90                        |  10 +-
 src/makefile                         |   1 +
 src/modules/makefile                 |   5 +-
 src/modules/moduleInput.f90          |  48 +++++-
 src/modules/moduleProbe.f90          | 239 +++++++++++++++++++++++++++
 7 files changed, 413 insertions(+), 86 deletions(-)
 create mode 100644 src/modules/moduleProbe.f90

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index 6b3b20a422160a8ab4b068d4c7dcc3440bc83499..c52ee8b945a563a506fe53dc7c7c83a5cf04e8ff 100644
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index 479efb2..6e43115 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -215,11 +215,12 @@
 
           \item Recombination.
                 When an electron and an ion interact, there is a possibility for them to be recombined into a neutral particle.
-                The photon emitted by this process is not modeled yet.
+                The photon emitted by this process is not modelled yet.
         \end{itemize}
       
-      \subsection{\acrlong{cs}}
-        Although not yet implement, a first approach will be soon implemented using Ref.~\cite{higginson2020corrected} as a guideline.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%      \subsection{\acrlong{cs}}
+%        Although not yet implement, a first approach will be soon implemented using Ref.~\cite{higginson2020corrected} as a guideline.
         
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Reset of particle array}
@@ -227,6 +228,20 @@
       The new array containing only the particles inside the domain will be the one used in the next steps.
       In this section, particles are assigned to the list of particles inside each individual cell.
       Unfortunately, this is done right now without parallelisation and is very CPU consuming.
+      
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+    \section{Probing}\label{sec:probing}
+      As default, \gls{fpakc} outputs information of macroscopic quantities (density, velocity, temperature\ldots) in the finite element mesh.
+      However, a lot of information can be extracted from the particle distribution function.
+      Thus, a probing method is provided to extract the distribution function in a specific position.
+      
+      The particles inside a cell in which the input position is located are distributed into a 3D velocity grid.
+      The user can decide the grid width and the number of points in each direction.
+      The distribution function will be calculated and wrote with a time step decided by the user.
+      
+      If a particle velocity resides outside of the velocity grid (in any direction), it wont be added to the tally of the distribution function.
+      Due to the limitation of only taking into account particles in the cell, and not neighbour particles, two probes for the same species at different positions but in the same cell will output the same results.
+      A more advance method taking into account distance between the particles and the probe position as well as particles in neighbour cells could be implemented to improve the statistics of the distribution function.
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Scattering}
@@ -359,6 +374,30 @@ make
                                   Trigger between writings is the same as in \textbf{triggerOutput}.
           \item \textbf{EMField}: Logical.
                                   Determines if the electromagnetic field is printed.
+          \item \textbf{probes}: Array of objects.
+                                 Defines the probes employed for obtaining the distribution function at specific positions.
+                                 See Sec.~\ref{sec:probing} for more information.
+                                 The object is structured as follows:
+                                 \begin{itemize}
+                                   \item \textbf{species}: Character.
+                                                           Species name as defined in \textbf{species} array.
+                                   \item \textbf{position}: Real.
+                                                            Array of dimension $3$.
+                                                            Units in $\unit{m}$.
+                                                            Indicates the position of the probing.
+                                   \item \textbf{timeStep}: Real
+                                                            Units in $\unit{s}$.
+                                                            Optional.
+                                                            Time step for output of the distribution function.
+                                                            If none is provided, the minimum time step of the case is used.
+                                   \item \textbf{velocity\_1, velocity\_2, velocity\_3}: Real.
+                                                                                         Array of dimension $2$.
+                                                                                         Velocity range (minimum-maximum) in which the distribution function will be interpolated.
+                                                                                         The subscripts 1, 2, 3 indicate the three directions of the case.
+                                   \item \textbf{points}: Integer.
+                                                          Array of dimension $3$.
+                                                          Number of points in each direction.
+                                 \end{itemize}
         \end{itemize}
       
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -439,72 +478,72 @@ make
         \begin{itemize}
           \item \textbf{name}: Character.
                                Name of the boundary.
-          \item \textbf{type}: Character.
-                               Type of boundary.
-                               Accepted values are:
-                               \begin{itemize}
-                                 \item \textbf{reflection}: Elastic reflection of particles.
-                                 \item \textbf{absorption}: Particle is eliminated from the domain.
-                                                            The particle is first moved into the edge and its properties are scattered among the edge nodes.
-                                 \item \textbf{transparent}: Particle abandon the numerical domain.
-                                 \item \textbf{wallTemperature}: Reflective wall with cosntant temperature that exchange heat with particles.
-                                                                 Required parameters are:
-                                                                 \begin{itemize}
-                                                                   \item \textbf{temperature}: Real.
-                                                                                               Units of $\unit{K}$.
-                                                                                               Temperature wall.
-                                                                   \item \textbf{specificHeat}: Real.
-                                                                                                Units of $\unit{J kg^{-1} K^{-1}}$.
-                                                                                                Specific heat capacity of the material.
-                                                                 \end{itemize}
-                                 \item \textbf{ionization}: Per each particle crossing the surface with this type of boundary, a number of ionization events are calculated.
-                                                            A pair of ion-electron is generated for each ionization event taking as a reference a neutral background.
-                                                            Secondary electron is taken as same type as incident particle.
-                                                            The available input is:
-                                                            \begin{itemize}
-                                                              \item \textbf{neutral}: Object.
-                                                                                      Information about the neutral background.
-                                                                                      Required parameters are:
-                                                                                      \begin{itemize}
-                                                                                        \item \textbf{ion}: Character.
-                                                                                                            Species name of the ion generated as defined in object \textbf{species}.
-                                                                                                            Required parameter.
-                                                                                        \item \textbf{mass}: Real.
-                                                                                                             Units in $\unit{kg}$.
-                                                                                                             Mass of neutral species.
-                                                                                                             If missing, the mass of the ion is ussed
-                                                                                        \item \textbf{density}: Real.
-                                                                                                                Units in $\unit{m^{-3}}$.
-                                                                                                                Density of neutral background.
-                                                                                                                Required parameter.
-                                                                                        \item \textbf{velocity}: Real.
-                                                                                                                 Units in $\unit{m^{-3}}$.
-                                                                                                                 Array of dimension $3$.
-                                                                                                                 Mean velocity of neutral background.
-                                                                                                                 Required parameter.
-                                                                                        \item \textbf{temperature}: Real.
-                                                                                                                    Units in $\unit{K}$.
-                                                                                                                    Temperature of neutral background.
-                                                                                                                    Required parameter.
-                                                                                                             
-                                                                                      \end{itemize}
-                                                              \item \textbf{effectiveTime}: Real.
-                                                                                            Units in $\unit{s}$.
-                                                                                            As the particle is no longer simulated once it crossed the boundary, this time represent the effective time in which the particle produces ionization processes in the neutral background.
-                                                                                            Required parameter.
-                                                              \item \textbf{energyThreashold}: Real.
-                                                                                               Units in $\unit{eV}$.
-                                                                                               Ionization energy threshold for the simulated process.
-                                                                                               Required parameter.
-                                                              \item \textbf{crossSection}: Character.
-                                                                                           Complete path to the cross section data for the ionization process.
-                                                                                            
-                                                            \end{itemize}
-                                 \item \textbf{axis}: Identifies the symmetry axis for 2D cylindrical simulations.
-                                                      If for some reason a particle interact with this axis, it is reflected.
-                               \end{itemize}
           \item \textbf{physicalSurface}: Integer.
-                                          Identification of the edge in the mesh file.
+                                          Identification of the surface in the mesh file.
+          \item \textbf{bType}: Array of objects of dimension 'number of species'.
+                                Per each species defined in the case, a boundary \textbf{type} needs to be provided.
+                                Accepted values for \textbf{type} are:
+                                \begin{itemize}
+                                  \item \textbf{reflection}: Elastic reflection of particles.
+                                  \item \textbf{absorption}: Particle is eliminated from the domain.
+                                                             The particle is first moved into the edge and its properties are scattered among the edge nodes.
+                                  \item \textbf{transparent}: Particle abandon the numerical domain.
+                                  \item \textbf{wallTemperature}: Reflective wall with cosntant temperature that exchange heat with particles.
+                                                                  Required parameters are:
+                                                                  \begin{itemize}
+                                                                    \item \textbf{temperature}: Real.
+                                                                                                Units of $\unit{K}$.
+                                                                                                Temperature wall.
+                                                                    \item \textbf{specificHeat}: Real.
+                                                                                                 Units of $\unit{J kg^{-1} K^{-1}}$.
+                                                                                                 Specific heat capacity of the material.
+                                                                  \end{itemize}
+                                  \item \textbf{ionization}: Per each particle crossing the surface with this type of boundary, a number of ionization events are calculated.
+                                                             A pair of ion-electron is generated for each ionization event taking as a reference a neutral background.
+                                                             Secondary electron is taken as same type as incident particle.
+                                                             The available input is:
+                                                             \begin{itemize}
+                                                               \item \textbf{neutral}: Object.
+                                                                                       Information about the neutral background.
+                                                                                       Required parameters are:
+                                                                                       \begin{itemize}
+                                                                                         \item \textbf{ion}: Character.
+                                                                                                             Species name of the ion generated as defined in object \textbf{species}.
+                                                                                                             Required parameter.
+                                                                                         \item \textbf{mass}: Real.
+                                                                                                              Units in $\unit{kg}$.
+                                                                                                              Mass of neutral species.
+                                                                                                              If missing, the mass of the ion is ussed
+                                                                                         \item \textbf{density}: Real.
+                                                                                                                 Units in $\unit{m^{-3}}$.
+                                                                                                                 Density of neutral background.
+                                                                                                                 Required parameter.
+                                                                                         \item \textbf{velocity}: Real.
+                                                                                                                  Units in $\unit{m^{-3}}$.
+                                                                                                                  Array of dimension $3$.
+                                                                                                                  Mean velocity of neutral background.
+                                                                                                                  Required parameter.
+                                                                                         \item \textbf{temperature}: Real.
+                                                                                                                     Units in $\unit{K}$.
+                                                                                                                     Temperature of neutral background.
+                                                                                                                     Required parameter.
+                                                                                                              
+                                                                                       \end{itemize}
+                                                               \item \textbf{effectiveTime}: Real.
+                                                                                             Units in $\unit{s}$.
+                                                                                             As the particle is no longer simulated once it crossed the boundary, this time represent the effective time in which the particle produces ionization processes in the neutral background.
+                                                                                             Required parameter.
+                                                               \item \textbf{energyThreashold}: Real.
+                                                                                                Units in $\unit{eV}$.
+                                                                                                Ionization energy threshold for the simulated process.
+                                                                                                Required parameter.
+                                                               \item \textbf{crossSection}: Character.
+                                                                                            Complete path to the cross section data for the ionization process.
+                                                                                             
+                                                             \end{itemize}
+                                  \item \textbf{axis}: Identifies the symmetry axis for 2D cylindrical simulations.
+                                                       If for some reason a particle interact with this axis, it is reflected.
+                                \end{itemize}
         \end{itemize}
       
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -631,8 +670,7 @@ make
                                    \begin{itemize}
                                       \item \textbf{Electrostatic}: Solves the Poison equation to obtain the self-consistent electrostatic potential.
                                    \end{itemize}
-          \item \textbf{initial}: Object.
-                                  Array.
+          \item \textbf{initial}: Array of objects.
                                   Determines initial values for the species.
                                   Required values are:
                                   \begin{itemize}
@@ -661,8 +699,7 @@ make
                                    Units of $\unit{s}$.
                                    Time step to calculate MCC.
                                    If no time is provided, the minimum time step is used.
-          \item \textbf{collisions}: Object.
-                                     Array.
+          \item \textbf{collisions}: Array of objects.
                                      Contains the different short range interactions (\acrshort{mcc}).
                                      Multiple collision types can be defined for each pair of species.
                                      Each object in the array is defined by:
@@ -670,8 +707,7 @@ make
                                        \item \textbf{species\_i}, \textbf{species\_j}: Character.
                                                                                        Define the two species involved in the collision processes.
                                                                                        Order is indiferent.
-                                       \item \textbf{cTypes}: Object.
-                                                              Array.
+                                       \item \textbf{cTypes}: Array of objects.
                                                               Defines all the collisions between \textbf{species\_i} and \textbf{species\_j}.
                                                               Required values are:
                                                               \begin{itemize}
@@ -705,29 +741,29 @@ make
                                  
         \end{itemize}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \chapter{Example runs\label{ch:exampleRuns}}
+  \chapter{Example runs}\label{ch:exampleRuns}
     This chapter presents a description of the different example files distributed with \acrshort{fpakc}.
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{1D Emissive Cathode (1D\_Cathode)}
-      Emission from a 1D cathond in both, cartesian and radial coordinates.
+      Emission from a 1D cathode in both, cartesian and radial coordinates.
       Both cases insert the same amount of electrons from the minimum coordinate and have the same boundary conditions for particles and the electrostatic field.
-      This case is useful to ilustrate hoy \acrshort{fpakc} can deal with different geometries by just modifiying some parameters in the input file.
+      This case is useful to ilustrate hoy \acrshort{fpakc} can deal with different geometries by just modifying some parameters in the input file.
       The same mesh file (\lstinline|mesh.msh|) is used for both cases.
       
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{0D \ce{Ar}-\ce{Ar+} Elastic Collision (0D\_Argon)}
       Test case to check the 0D geometry that includes the elastic collision between \ce{Ar} and \ce{Ar+}.
-      Initial states are readed from the Argon\_Initial.dat and Argon+\_Initial.dat
+      Initial states are read from the Argon\_Initial.dat and Argon+\_Initial.dat
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{ALPHIE Grid system (ALPHIE\_Grid)}
-      Two-dimensional axialsymmetry case to study the counterflow of electrons and Argon ions going trhough the ALPHIE grid system.
+      Two-dimensional axial-symmetry case to study the counterflow of electrons and Argon ions going through the ALPHIE grid system.
       A \lstinline|mesh.geo| file is provided to easily modify the parameters of the grid system and generate a new mesh with \Gls{gmsh}.
       
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Flow around cylinder (cylFlow)}
-      Simple case of neutral Argon flow around a cylinder in a 2D axialsymmetry geometry.
+      Simple case of neutral Argon flow around a cylinder in a 2D axial-symmetry geometry.
       Elastic collisions between argon particles are included.
       Two cases are presented here: one in which the same mesh (meshSingle.msh) for scattering and collisions is used (input.json) and a second one (inputDualMesh.json) in which a mesh is used for scattering (mesh.msh) and a second one is used only for collisions (meshColl.msh).
     
diff --git a/src/fpakc.f90 b/src/fpakc.f90
index 8bd909b..8d33917 100644
--- a/src/fpakc.f90
+++ b/src/fpakc.f90
@@ -1,12 +1,13 @@
 !  FPAKC main program
 PROGRAM fpakc
+  USE moduleCompTime
+  USE moduleCaseParam
   USE moduleInput
-  USE moduleErrors
   USE moduleInject
   USE moduleSolver
   USE moduleMesh
-  USE moduleCompTime
-  USE moduleCaseParam
+  USE moduleProbe
+  USE moduleErrors
   USE OMP_LIB
   IMPLICIT NONE
 
@@ -84,6 +85,9 @@ PROGRAM fpakc
     !$OMP SINGLE
     tCoul = omp_get_wTime() - tCoul
 
+    !Do probing
+    CALL doProbes(t)
+
     !Reset particles
     tReset = omp_get_wtime()
     !$OMP END SINGLE
diff --git a/src/makefile b/src/makefile
index 3a6d68a..9022723 100644
--- a/src/makefile
+++ b/src/makefile
@@ -4,6 +4,7 @@ OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/module
 			  	$(OBJDIR)/moduleBoundary.o $(OBJDIR)/moduleCaseParam.o $(OBJDIR)/moduleRefParam.o \
 			  	$(OBJDIR)/moduleCollisions.o $(OBJDIR)/moduleTable.o $(OBJDIR)/moduleParallel.o \
 			  	$(OBJDIR)/moduleEM.o $(OBJDIR)/moduleRandom.o $(OBJDIR)/moduleMath.o \
+					$(OBJDIR)/moduleProbe.o \
 			  	$(OBJDIR)/moduleMeshInputGmsh2.o $(OBJDIR)/moduleMeshOutputGmsh2.o \
 			  	$(OBJDIR)/moduleMeshInput0D.o $(OBJDIR)/moduleMeshOutput0D.o \
 			  	$(OBJDIR)/moduleMesh3DCart.o \
diff --git a/src/modules/makefile b/src/modules/makefile
index cea6d73..7f54dae 100644
--- a/src/modules/makefile
+++ b/src/modules/makefile
@@ -2,7 +2,8 @@
 OBJS = moduleCaseParam.o moduleCompTime.o moduleList.o \
 		   moduleOutput.o moduleInput.o moduleSolver.o \
 			 moduleCollisions.o moduleTable.o moduleParallel.o \
-			 moduleEM.o moduleRandom.o moduleMath.o
+			 moduleEM.o moduleRandom.o moduleMath.o \
+			 moduleProbe.o
 
 all: $(OBJS) mesh.o
 
@@ -12,7 +13,7 @@ mesh.o: moduleCollisions.o moduleBoundary.o moduleMath.o
 moduleCollisions.o: moduleRandom.o moduleTable.o moduleSpecies.o moduleRefParam.o moduleConstParam.o moduleCollisions.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleInput.o: moduleParallel.o moduleRefParam.o moduleCaseParam.o moduleSolver.o moduleInject.o moduleBoundary.o moduleErrors.o moduleSpecies.o moduleInput.f90
+moduleInput.o: moduleParallel.o moduleRefParam.o moduleCaseParam.o moduleSolver.o moduleInject.o moduleBoundary.o moduleErrors.o moduleSpecies.o moduleProbe.o moduleInput.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
 moduleInject.o: moduleRandom.o moduleSpecies.o moduleSolver.o moduleInject.f90
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 19255dd..d97f92c 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -60,6 +60,11 @@ MODULE moduleInput
       CALL readGeometry(config)
       CALL checkStatus(config, "readGeometry")
 
+      !Read probes
+      CALL verboseError('Reading Probes...')
+      CALL readProbes(config)
+      CALL checkStatus(config, 'readProbes')
+
       !Read initial state for species
       CALL verboseError('Reading Initial state...')
       CALL readInitial(config)
@@ -903,6 +908,47 @@ MODULE moduleInput
 
     END SUBROUTINE readGeometry
 
+    SUBROUTINE readProbes(config)
+      USE moduleProbe
+      USE moduleErrors
+      USE json_module
+      IMPLICIT NONE
+
+      TYPE(json_file), INTENT(inout):: config
+      CHARACTER(:), ALLOCATABLE:: object
+      LOGICAL:: found
+      CHARACTER(2):: istring
+      INTEGER:: i
+      CHARACTER(:), ALLOCATABLE:: speciesName
+      REAL(8), ALLOCATABLE, DIMENSION(:):: r
+      REAL(8), ALLOCATABLE, DIMENSION(:):: v1, v2, v3
+      INTEGER, ALLOCATABLE, DIMENSION(:):: points
+      REAL(8):: timeStep
+
+      CALL config%info('output.probes', found, n_children = nProbes)
+
+      IF (found) ALLOCATE(probe(1:nProbes))
+
+      DO i = 1, nProbes
+        WRITE(iString, '(I2)') i
+        object = 'output.probes(' // trim(istring) // ')'
+
+        CALL config%get(object // '.species', speciesName, found)
+        CALL config%get(object // '.position', r, found)
+        CALL config%get(object // '.velocity_1', v1, found)
+        CALL config%get(object // '.velocity_2', v2, found)
+        CALL config%get(object // '.velocity_3', v3, found)
+        CALL config%get(object // '.points', points, found)
+        CALL config%get(object // '.timeStep', timeStep, found)
+
+        IF (ANY(points < 2)) CALL criticalError("Number of points in probe " // iString // " incorrect", 'readProbes')
+
+        CALL probe(i)%init(i, speciesName, r, v1, v2, v3, points, timeStep)
+
+      END DO
+
+    END SUBROUTINE readProbes
+
     SUBROUTINE readEMBoundary(config)
       USE moduleMesh
       USE moduleOutput
@@ -926,7 +972,7 @@ MODULE moduleInput
       IF (found) ALLOCATE(boundEM(1:nBoundaryEM))
       
       DO i = 1, nBoundaryEM
-        WRITE(istring, '(i2)') i
+        WRITE(istring, '(I2)') i
         object = 'boundaryEM(' // trim(istring) // ')'
 
         CALL config%get(object // '.type', boundEM(i)%typeEM, found)
diff --git a/src/modules/moduleProbe.f90 b/src/modules/moduleProbe.f90
new file mode 100644
index 0000000..26d62c8
--- /dev/null
+++ b/src/modules/moduleProbe.f90
@@ -0,0 +1,239 @@
+MODULE moduleProbe
+  USE moduleMesh
+  USE moduleSpecies
+
+  TYPE:: probeDistFunc
+    INTEGER:: id
+    REAL(8), DIMENSION(1:3):: r
+    CLASS(meshVol), POINTER:: cell
+    CLASS(speciesGeneric), POINTER:: species
+    REAL(8), ALLOCATABLE, DIMENSION(:):: vi, vj, vk
+    REAL(8), ALLOCATABLE, DIMENSION(:,:,:):: f
+    INTEGER, DIMENSION(1:3):: nv
+    REAL(8), DIMENSION(1:3):: vrange
+    REAL(8):: dvInv
+    INTEGER:: every
+    CONTAINS
+      PROCEDURE, PASS:: init
+      PROCEDURE, PASS:: findLowerIndex
+      PROCEDURE, PASS:: calculate
+      PROCEDURE, PASS:: output
+      
+  END TYPE probeDistFunc
+
+  INTEGER:: nProbes = 0
+  TYPE(probeDistFunc), ALLOCATABLE:: probe(:)
+
+  CONTAINS
+    !Functions for probeDistFunc type
+    SUBROUTINE init(self, id, speciesName, r, v1, v2, v3, points, timeStep)
+      USE moduleCaseParam
+      USE moduleRefParam
+      USE moduleSpecies
+      USE moduleMesh
+      USE moduleErrors
+      IMPLICIT NONE
+
+      CLASS(probeDistFunc), INTENT(out):: self
+      INTEGER, INTENT(in):: id
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: speciesName
+      REAL(8), INTENT(in):: r(1:3)
+      REAL(8), INTENT(in):: v1(1:2), v2(1:2), v3(1:2)
+      INTEGER, INTENT(in):: points(1:3)
+      REAL(8), INTENT(in):: timeStep
+      INTEGER:: sp, e, i
+      REAL(8):: dv(1:3)
+
+      !Assign id
+      self%id = id
+
+      !Get species
+      sp = speciesName2Index(speciesName)
+      self%species => species(sp)%obj
+
+      !Find cell
+      self%r = r/L_ref
+      e = findCellBrute(mesh, self%r)
+      IF (e == 0) CALL criticalError("No cell found for position in probe", 'init')
+      self%cell => mesh%vols(e)%obj
+
+      !Allocates velocity grid
+      self%nv = points
+      ALLOCATE(self%vi(1:self%nv(1)))
+      ALLOCATE(self%vj(1:self%nv(2)))
+      ALLOCATE(self%vk(1:self%nv(3)))
+
+      !Creates grid
+      dv(1) = (v1(2) - v1(1))/REAL(self%nv(1) - 1)/v_ref
+      dv(2) = (v2(2) - v2(1))/REAL(self%nv(2) - 1)/v_ref
+      dv(3) = (v3(2) - v3(1))/REAL(self%nv(3) - 1)/v_ref
+
+      self%dvInv = 1.D0/(dv(1)*dv(2)*dv(3))
+
+      DO i = 1, self%nv(1)
+        self%vi(i) = dv(1)*REAL(i - 1) + v1(1)/v_ref
+
+      END DO
+
+      DO i = 1, self%nv(2)
+        self%vj(i) = dv(2)*REAL(i - 1) + v2(1)/v_ref
+
+      END DO
+
+      DO i = 1, self%nv(3)
+        self%vk(i) = dv(3)*REAL(i - 1) + v3(1)/v_ref
+
+      END DO
+
+      self%vrange(1) = self%vi(self%nv(1)) - self%vi(1)
+      self%vrange(2) = self%vj(self%nv(2)) - self%vj(1)
+      self%vrange(3) = self%vk(self%nv(3)) - self%vk(1)
+
+      !Allocates distribution function
+      ALLOCATE(self%f(1:self%nv(1), &
+                      1:self%nv(2), &
+                      1:self%nv(3)))
+
+      !Number of iterations between output
+      self%every = NINT(timeStep/ tauMin / ti_ref)
+
+    END SUBROUTINE init
+
+    SUBROUTINE findLowerIndex(self, vp, i, j, k, inside)
+      IMPLICIT NONE
+      
+      CLASS(probeDistFunc), INTENT(in):: self
+      REAL(8), INTENT(in):: vp(1:3)
+      INTEGER, INTENT(out):: i, j, k
+      LOGICAL, INTENT(out):: inside
+
+      i = FLOOR((vp(1) - self%vi(1))/self%vrange(1)*(REAL(self%nv(1) - 1)) + 1.D0)
+      IF (i >= self%nv(1) .OR. i <  1) inside = .FALSE.
+      j = FLOOR((vp(2) - self%vj(1))/self%vrange(2)*(REAL(self%nv(2) - 1)) + 1.D0)
+      IF (j >= self%nv(2) .OR. j <  1) inside = .FALSE.
+      k = FLOOR((vp(3) - self%vk(1))/self%vrange(3)*(REAL(self%nv(3) - 1)) + 1.D0)
+      IF (k >= self%nv(3) .OR. k <  1) inside = .FALSE.
+
+    END SUBROUTINE findLowerIndex
+
+    SUBROUTINE calculate(self)
+      USE moduleSpecies
+      USE moduleList
+      IMPLICIT NONE
+
+      CLASS(probeDistFunc), INTENT(inout):: self
+      TYPE(particle), POINTER:: part
+      TYPE(lNode), POINTER:: node
+      INTEGER:: i, j, k
+      LOGICAL:: inside
+      REAL(8):: fi, fi1
+      REAL(8):: fj, fj1
+      REAL(8):: fk, fk1
+
+      !Reset distribution function
+      self%f = 0.D0
+
+      !Loop over particles in cell
+      node => self%cell%listPart_in%head
+      DO WHILE(ASSOCIATED(node))
+
+        !Selects particle on list
+        part => node%part
+
+        !If particle is of desired type, include in the distribution function
+        IF (part%species%n == self%species%n) THEN
+          !find lower index for all dimensions
+          CALL self%findLowerIndex(part%v, i, j, k, inside)
+
+          !If particle is inside the velocity grid, add it to the distribution function
+          IF (inside) THEN
+            !Calculate weights
+            fi  = self%vi(i+1) - part%v(1)
+            fi1 = part%v(1)    - self%vi(i)
+            fj  = self%vj(j+1) - part%v(2)
+            fj1 = part%v(2)    - self%vj(j)
+            fk  = self%vk(k+1) - part%v(3)
+            fk1 = part%v(3)    - self%vk(k)
+
+            !Assign particle weight to distribution function
+            self%f(i  , j  , k  ) = fi  * fj  * fk  * part%weight
+            self%f(i+1, j  , k  ) = fi1 * fj  * fk  * part%weight
+            self%f(i  , j+1, k  ) = fi  * fj1 * fk  * part%weight
+            self%f(i+1, j+1, k  ) = fi1 * fj1 * fk  * part%weight
+            self%f(i  , j  , k+1) = fi  * fj  * fk1 * part%weight
+            self%f(i+1, j  , k+1) = fi1 * fj  * fk1 * part%weight
+            self%f(i  , j+1, k+1) = fi  * fj1 * fk1 * part%weight
+            self%f(i+1, j+1, k+1) = fi1 * fj1 * fk1 * part%weight
+
+          END IF
+          
+        END IF
+
+        !Move to next particle in the list
+        node => node%next
+
+      END DO
+
+      !Divide by the velocity cube volume
+      self%f = self%f * self%dvInv
+
+    END SUBROUTINE calculate
+
+    SUBROUTINE output(self, t)
+      USE moduleOutput
+      USE moduleRefParam
+      IMPLICIT NONE
+
+      CLASS(probeDistFunc), INTENT(in):: self
+      INTEGER, INTENT(in):: t
+      CHARACTER (LEN=iterationDigits):: tstring
+      CHARACTER (LEN=3):: pstring
+      CHARACTER(:), ALLOCATABLE:: filename
+      INTEGER:: i, j, k
+
+      WRITE(tstring, iterationFormat) t
+      WRITE(pstring, "(I3.3)") self%id
+      fileName='OUTPUT_' // tstring// '_f_' // pstring // '.dat'
+      WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
+      OPEN (10, file = path // folder // '/' //  fileName)
+      WRITE(10, "(A1, 1X, A)")               "# ", self%species%name
+      WRITE(10, "(A6, 3(ES15.6E3), A2)") "# r = ", self%r(:)*L_ref, " m"
+      WRITE(10, "(A6, ES15.6E3, A2)")    "# t = ", REAL(t)*tauMin*ti_ref, " s"
+      WRITE(10, "(A1, A19, 3(A20))")     "#", "v1 (m s^-1)", "v2 (m s^-1)", "v3 (m s^-1)", "f"
+      DO i = 1, self%nv(1)
+        DO j = 1, self%nv(2)
+          DO k = 1, self%nv(3)
+            WRITE(10, "(4(ES20.6E3))") self%vi(i)*v_ref, &
+                                       self%vj(j)*v_ref, &
+                                       self%vk(k)*v_ref, &
+                                       self%f(i, j, k)
+
+          END DO
+          WRITE(10, *)
+
+        END DO
+
+      END DO
+
+      CLOSE(10)
+
+    END SUBROUTINE output
+
+    SUBROUTINE doProbes(t)
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: t
+      INTEGER:: i
+
+      DO i = 1, SIZE(probe)
+        IF (MOD(t, probe(i)%every) == 0 .OR. t == tFinal) THEN
+          CALL probe(i)%calculate()
+          CALL probe(i)%output(t)
+
+        END IF
+
+      END DO
+
+    END SUBROUTINE doProbes
+
+END MODULE moduleProbe

From aa9dda76cabc778fd22c26db02aa1a149ce06b00 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 26 Aug 2021 11:21:08 +0200
Subject: [PATCH 038/203] Small improvement.

Small change to probing system.
---
 src/modules/moduleProbe.f90 | 12 +++++-------
 1 file changed, 5 insertions(+), 7 deletions(-)

diff --git a/src/modules/moduleProbe.f90 b/src/modules/moduleProbe.f90
index 26d62c8..6093ac6 100644
--- a/src/modules/moduleProbe.f90
+++ b/src/modules/moduleProbe.f90
@@ -63,10 +63,12 @@ MODULE moduleProbe
       ALLOCATE(self%vj(1:self%nv(2)))
       ALLOCATE(self%vk(1:self%nv(3)))
 
+      self%vrange(1) = (v1(2) - v1(1))/v_ref
+      self%vrange(2) = (v2(2) - v2(1))/v_ref
+      self%vrange(3) = (v3(2) - v3(1))/v_ref
+
       !Creates grid
-      dv(1) = (v1(2) - v1(1))/REAL(self%nv(1) - 1)/v_ref
-      dv(2) = (v2(2) - v2(1))/REAL(self%nv(2) - 1)/v_ref
-      dv(3) = (v3(2) - v3(1))/REAL(self%nv(3) - 1)/v_ref
+      dv = self%vrange / REAL(self%nv - 1)
 
       self%dvInv = 1.D0/(dv(1)*dv(2)*dv(3))
 
@@ -85,10 +87,6 @@ MODULE moduleProbe
 
       END DO
 
-      self%vrange(1) = self%vi(self%nv(1)) - self%vi(1)
-      self%vrange(2) = self%vj(self%nv(2)) - self%vj(1)
-      self%vrange(3) = self%vk(self%nv(3)) - self%vk(1)
-
       !Allocates distribution function
       ALLOCATE(self%f(1:self%nv(1), &
                       1:self%nv(2), &

From f9dcd181c841772f4756bd36247e03c507a14a20 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 18 Oct 2021 10:29:45 +0200
Subject: [PATCH 039/203] Issue reading EM field

Fixed an issue reading the EM field from input file.
---
 src/modules/moduleInput.f90 | 24 +++++++++++++-----------
 1 file changed, 13 insertions(+), 11 deletions(-)

diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index d97f92c..56f5f79 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -172,7 +172,7 @@ MODULE moduleInput
       CHARACTER(:), ALLOCATABLE:: object
       !simulation final and initial times in [t]
       REAL(8):: finalTime, initialTime
-      CHARACTER(:), ALLOCATABLE:: pusherType, EMType, WSType
+      CHARACTER(:), ALLOCATABLE:: pusherType, WSType
       INTEGER:: nTau, nSolver
       INTEGER:: i
       CHARACTER(2):: iString
@@ -221,15 +221,6 @@ MODULE moduleInput
 
       END DO
       
-      !Gets the solver for the electromagnetic field
-      CALL config%get(object // '.EMSolver', EMType, found)
-      CALL solver%initEM(EMType)
-      SELECT CASE(EMType)
-      CASE("Electrostatic")
-        CALL readEMBoundary(config)
-
-      END SELECT
-
       !Gest the non-analogue scheme
       CALL config%get(object // '.WeightingScheme', WSType, found)
       CALL solver%initWS(WSType)
@@ -809,12 +800,13 @@ MODULE moduleInput
       USE moduleErrors
       USE moduleOutput
       USE moduleRefParam
+      USE moduleSolver
       USE json_module
       IMPLICIT NONE
 
       TYPE(json_file), INTENT(inout):: config
       LOGICAL:: found
-      CHARACTER(:), ALLOCATABLE:: meshFormat, meshFile
+      CHARACTER(:), ALLOCATABLE:: meshFormat, meshFile, EMType
       REAL(8):: volume
 
       !Firstly, indicates if a specific mesh for MC collisions is being use
@@ -906,6 +898,16 @@ MODULE moduleInput
 
       END IF
 
+      !Gest EM solver
+      CALL config%get('case.EMSolver', EMType, found)
+      CALL solver%initEM(EMType)
+      SELECT CASE(EMType)
+      CASE("Electrostatic")
+        !Reads BC
+        CALL readEMBoundary(config)
+
+      END SELECT
+
     END SUBROUTINE readGeometry
 
     SUBROUTINE readProbes(config)

From e683c66ff899da905e0e6d8b1664ecb0ea566d26 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 18 Oct 2021 16:00:28 +0200
Subject: [PATCH 040/203] Modification to Probes to use all particles

Now, probes check all particles in the domain.
This is done only when probes are outputed to save CPU time.
However, still some issues and distribution functions are not properly
being calculated.
---
 src/fpakc.f90                |   6 +-
 src/modules/makefile         |   4 +-
 src/modules/moduleProbe.f90  | 128 +++++++++++++++++++++++------------
 src/modules/moduleSolver.f90 |  77 +++++++++++----------
 4 files changed, 132 insertions(+), 83 deletions(-)

diff --git a/src/fpakc.f90 b/src/fpakc.f90
index 8d33917..03d0bbb 100644
--- a/src/fpakc.f90
+++ b/src/fpakc.f90
@@ -55,6 +55,9 @@ PROGRAM fpakc
 
     !Checks if a species needs to me moved in this iteration
     CALL solver%updatePushSpecies(t)
+
+    !Checks if probes need to be calculated this iteration
+    CALL resetProbes(t)
     tPush = omp_get_wtime()
     !$OMP END SINGLE
 
@@ -85,9 +88,6 @@ PROGRAM fpakc
     !$OMP SINGLE
     tCoul = omp_get_wTime() - tCoul
 
-    !Do probing
-    CALL doProbes(t)
-
     !Reset particles
     tReset = omp_get_wtime()
     !$OMP END SINGLE
diff --git a/src/modules/makefile b/src/modules/makefile
index 7f54dae..4eda2be 100644
--- a/src/modules/makefile
+++ b/src/modules/makefile
@@ -22,7 +22,7 @@ moduleInject.o: moduleRandom.o moduleSpecies.o moduleSolver.o moduleInject.f90
 moduleList.o: moduleSpecies.o moduleErrors.o moduleList.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleOutput.o: moduleMath.o moduleSpecies.o moduleRefParam.o moduleOutput.f90
+moduleOutput.o: moduleMath.o moduleSpecies.o moduleRefParam.o moduleProbe.o moduleOutput.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
 moduleRandom.o: moduleConstParam.o moduleRandom.f90
@@ -34,7 +34,7 @@ moduleRefParam.o: moduleConstParam.o moduleRefParam.f90
 moduleSpecies.o: moduleErrors.o moduleCaseParam.o moduleSpecies.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleSolver.o: mesh.o moduleList.o moduleEM.o moduleSpecies.o moduleRefParam.o moduleOutput.o moduleSolver.f90
+moduleSolver.o: mesh.o moduleList.o moduleEM.o moduleSpecies.o moduleRefParam.o moduleProbe.o moduleOutput.o moduleSolver.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
 moduleTable.o: moduleErrors.o moduleTable.f90
diff --git a/src/modules/moduleProbe.f90 b/src/modules/moduleProbe.f90
index 6093ac6..2d2295a 100644
--- a/src/modules/moduleProbe.f90
+++ b/src/modules/moduleProbe.f90
@@ -1,11 +1,9 @@
 MODULE moduleProbe
-  USE moduleMesh
   USE moduleSpecies
 
   TYPE:: probeDistFunc
     INTEGER:: id
     REAL(8), DIMENSION(1:3):: r
-    CLASS(meshVol), POINTER:: cell
     CLASS(speciesGeneric), POINTER:: species
     REAL(8), ALLOCATABLE, DIMENSION(:):: vi, vj, vk
     REAL(8), ALLOCATABLE, DIMENSION(:,:,:):: f
@@ -13,6 +11,9 @@ MODULE moduleProbe
     REAL(8), DIMENSION(1:3):: vrange
     REAL(8):: dvInv
     INTEGER:: every
+    LOGICAL:: update
+    INTEGER(KIND=OMP_LOCK_KIND):: lock
+    REAL(8):: maxR
     CONTAINS
       PROCEDURE, PASS:: init
       PROCEDURE, PASS:: findLowerIndex
@@ -41,7 +42,7 @@ MODULE moduleProbe
       REAL(8), INTENT(in):: v1(1:2), v2(1:2), v3(1:2)
       INTEGER, INTENT(in):: points(1:3)
       REAL(8), INTENT(in):: timeStep
-      INTEGER:: sp, e, i
+      INTEGER:: sp, i
       REAL(8):: dv(1:3)
 
       !Assign id
@@ -53,9 +54,6 @@ MODULE moduleProbe
 
       !Find cell
       self%r = r/L_ref
-      e = findCellBrute(mesh, self%r)
-      IF (e == 0) CALL criticalError("No cell found for position in probe", 'init')
-      self%cell => mesh%vols(e)%obj
 
       !Allocates velocity grid
       self%nv = points
@@ -94,6 +92,13 @@ MODULE moduleProbe
 
       !Number of iterations between output
       self%every = NINT(timeStep/ tauMin / ti_ref)
+      
+      !Maximum radius
+      !TODO: Make this an input parameter
+      self%maxR = 1.D-1/L_ref
+
+      !Init the probe lock
+      CALL OMP_INIT_LOCK(self%lock)
 
     END SUBROUTINE init
 
@@ -114,32 +119,28 @@ MODULE moduleProbe
 
     END SUBROUTINE findLowerIndex
 
-    SUBROUTINE calculate(self)
+    SUBROUTINE calculate(self, part)
       USE moduleSpecies
       USE moduleList
       IMPLICIT NONE
 
       CLASS(probeDistFunc), INTENT(inout):: self
-      TYPE(particle), POINTER:: part
-      TYPE(lNode), POINTER:: node
+      TYPE(particle), INTENT(in):: part
+      REAL(8):: deltaR
       INTEGER:: i, j, k
       LOGICAL:: inside
+      REAL(8):: weight
       REAL(8):: fi, fi1
       REAL(8):: fj, fj1
       REAL(8):: fk, fk1
 
-      !Reset distribution function
-      self%f = 0.D0
+      !If particle is of desired type, include in the distribution function
+      IF (part%species%n == self%species%n) THEN
+        !Calculate distance between particle and probe
+        deltaR = NORM2(self%r - part%r)
 
-      !Loop over particles in cell
-      node => self%cell%listPart_in%head
-      DO WHILE(ASSOCIATED(node))
-
-        !Selects particle on list
-        part => node%part
-
-        !If particle is of desired type, include in the distribution function
-        IF (part%species%n == self%species%n) THEN
+        !Only include particle if it is inside the maximum radius
+        IF (deltaR < self%maxR) THEN
           !find lower index for all dimensions
           CALL self%findLowerIndex(part%v, i, j, k, inside)
 
@@ -153,28 +154,31 @@ MODULE moduleProbe
             fk  = self%vk(k+1) - part%v(3)
             fk1 = part%v(3)    - self%vk(k)
 
+            ! weight = part%weight * DEXP(deltaR/self%maxR)
+            weight = part%weight
+
+            !Lock the probe
+            CALL OMP_SET_LOCK(self%lock)
+            
             !Assign particle weight to distribution function
-            self%f(i  , j  , k  ) = fi  * fj  * fk  * part%weight
-            self%f(i+1, j  , k  ) = fi1 * fj  * fk  * part%weight
-            self%f(i  , j+1, k  ) = fi  * fj1 * fk  * part%weight
-            self%f(i+1, j+1, k  ) = fi1 * fj1 * fk  * part%weight
-            self%f(i  , j  , k+1) = fi  * fj  * fk1 * part%weight
-            self%f(i+1, j  , k+1) = fi1 * fj  * fk1 * part%weight
-            self%f(i  , j+1, k+1) = fi  * fj1 * fk1 * part%weight
-            self%f(i+1, j+1, k+1) = fi1 * fj1 * fk1 * part%weight
+            self%f(i  , j  , k  ) = fi  * fj  * fk  * weight
+            self%f(i+1, j  , k  ) = fi1 * fj  * fk  * weight
+            self%f(i  , j+1, k  ) = fi  * fj1 * fk  * weight
+            self%f(i+1, j+1, k  ) = fi1 * fj1 * fk  * weight
+            self%f(i  , j  , k+1) = fi  * fj  * fk1 * weight
+            self%f(i+1, j  , k+1) = fi1 * fj  * fk1 * weight
+            self%f(i  , j+1, k+1) = fi  * fj1 * fk1 * weight
+            self%f(i+1, j+1, k+1) = fi1 * fj1 * fk1 * weight
+
+            !Unlock the probe
+            CALL OMP_UNSET_LOCK(self%lock)
 
           END IF
-          
+
         END IF
 
-        !Move to next particle in the list
-        node => node%next
-
-      END DO
-
-      !Divide by the velocity cube volume
-      self%f = self%f * self%dvInv
-
+      END IF
+          
     END SUBROUTINE calculate
 
     SUBROUTINE output(self, t)
@@ -182,13 +186,16 @@ MODULE moduleProbe
       USE moduleRefParam
       IMPLICIT NONE
 
-      CLASS(probeDistFunc), INTENT(in):: self
+      CLASS(probeDistFunc), INTENT(inout):: self
       INTEGER, INTENT(in):: t
       CHARACTER (LEN=iterationDigits):: tstring
       CHARACTER (LEN=3):: pstring
       CHARACTER(:), ALLOCATABLE:: filename
       INTEGER:: i, j, k
 
+      !Divide by the velocity cube volume
+      self%f = self%f * self%dvInv
+
       WRITE(tstring, iterationFormat) t
       WRITE(pstring, "(I3.3)") self%id
       fileName='OUTPUT_' // tstring// '_f_' // pstring // '.dat'
@@ -215,18 +222,21 @@ MODULE moduleProbe
 
       CLOSE(10)
 
+      !Reset distribution function
+      self%f = 0.D0
+
     END SUBROUTINE output
 
-    SUBROUTINE doProbes(t)
+    SUBROUTINE doProbes(part)
       IMPLICIT NONE
 
-      INTEGER, INTENT(in):: t
+      TYPE(particle), INTENT(in):: part
       INTEGER:: i
 
-      DO i = 1, SIZE(probe)
-        IF (MOD(t, probe(i)%every) == 0 .OR. t == tFinal) THEN
-          CALL probe(i)%calculate()
-          CALL probe(i)%output(t)
+      !Do it so they are only calculated when output
+      DO i = 1, nProbes
+        IF (probe(i)%update) THEN
+          CALL probe(i)%calculate(part)
 
         END IF
 
@@ -234,4 +244,34 @@ MODULE moduleProbe
 
     END SUBROUTINE doProbes
 
+    SUBROUTINE outputProbes(t)
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: t
+      INTEGER:: i
+
+      DO i = 1, nProbes
+        IF (probe(i)%update) THEN
+          CALL probe(i)%output(t)
+
+        END IF
+
+      END DO
+
+    END SUBROUTINE outputProbes
+
+    SUBROUTINE resetProbes(t)
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: t
+      INTEGER:: i
+
+      DO i = 1, nProbes
+        probe(i)%f = 0.D0
+        probe(i)%update = MOD(t, probe(i)%every) == 0 .OR. t == tFinal
+
+      END DO
+
+    END SUBROUTINE resetProbes
+
 END MODULE moduleProbe
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index 0f78a5e..47d33ca 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -497,17 +497,48 @@ MODULE moduleSolver
 
     END SUBROUTINE push0D
 
+    !Takes the particles from a list and put them into an array
+    !nStart indicates the last fill index in the array
+    SUBROUTINE resetList(partList, partArray, nStart)
+      USE moduleSpecies
+      USE moduleList
+      USE moduleProbe
+      IMPLICIT NONE
+
+      TYPE(listNode), INTENT(inout):: partList
+      TYPE(particle), INTENT(inout), DIMENSION(1:):: partArray
+      INTEGER, INTENT(in):: nStart
+      TYPE(lNode), POINTER:: partCurr, partNext
+      INTEGER:: n
+
+      partCurr => partList%head
+      DO n = 1, partList%amount
+       partNext => partCurr%next
+       partArray(nStart + n) = partCurr%part
+       CALL doProbes(partArray(nStart+n))
+       DEALLOCATE(partCurr)
+       partCurr => partNext
+
+      END DO
+
+      !Resest head, tail and number of nodes in the list
+      IF (ASSOCIATED(partList%head)) NULLIFY(partList%head)
+      IF (ASSOCIATED(partList%tail)) NULLIFY(partList%tail)
+      partList%amount = 0
+
+    END SUBROUTINE resetList
+
     SUBROUTINE doReset()
       USE moduleSpecies
       USE moduleMesh
       USE moduleList
+      USE moduleProbe
       IMPLICIT NONE
 
       INTEGER:: nn, n, e
       INTEGER, SAVE:: nPartNew
       INTEGER, SAVE:: nInjIn, nOldIn, nWScheme, nCollisions, nSurfaces
       TYPE(particle), ALLOCATABLE, SAVE:: partTemp(:)
-      TYPE(lNode), POINTER:: partCurr, partNext
 
       !$OMP SECTIONS
       !$OMP SECTION
@@ -524,10 +555,13 @@ MODULE moduleSolver
       END IF
       !$OMP SECTION
       nWScheme = partWScheme%amount
+
       !$OMP SECTION
       nCollisions = partCollisions%amount
+
       !$OMP SECTION
       nSurfaces = partSurfaces%amount
+
       !$OMP END SECTIONS
 
       !$OMP BARRIER
@@ -546,6 +580,7 @@ MODULE moduleSolver
         IF (partInj(n)%n_in) THEN
           nn = nn + 1
           partOld(nn) = partInj(n)
+          CALL doProbes(partOld(nn))
 
         END IF
 
@@ -558,54 +593,26 @@ MODULE moduleSolver
         IF (partTemp(n)%n_in) THEN
           nn = nn + 1
           partOld(nn) = partTemp(n)
+          CALL doProbes(partOld(nn))
 
         END IF
 
       END DO
+
       !$OMP SECTION
       !Reset particles from weighting scheme
       nn = nInjIn + nOldIn
-      partCurr => partWScheme%head
-      DO n = 1, nWScheme
-        partNext => partCurr%next
-        partOld(nn+n) = partCurr%part
-        DEALLOCATE(partCurr)
-        partCurr => partNext
-
-      END DO
-      IF (ASSOCIATED(partWScheme%head)) NULLIFY(partWScheme%head)
-      IF (ASSOCIATED(partWScheme%tail)) NULLIFY(partWScheme%tail)
-      partWScheme%amount = 0
+      CALL resetList(partWScheme, partOld, nn)
 
       !$OMP SECTION
       !Reset particles from collisional process
       nn = nInjIn + nOldIn + nWScheme
-      partCurr => partCollisions%head
-      DO n = 1, nCollisions
-        partNext => partCurr%next
-        partOld(nn+n) = partCurr%part
-        DEALLOCATE(partCurr)
-        partCurr => partNext
-
-      END DO
-      IF (ASSOCIATED(partCollisions%head)) NULLIFY(partCollisions%head)
-      IF (ASSOCIATED(partCollisions%tail)) NULLIFY(partCollisions%tail)
-      partCollisions%amount = 0
+      CALL resetList(partCollisions, partOld, nn)
 
       !$OMP SECTION
       !Reset particles from surface process
       nn = nInjIn + nOldIn + nWScheme + nCollisions
-      partCurr => partSurfaces%head
-      DO n = 1, nSurfaces
-        partNext => partCurr%next
-        partOld(nn+n) = partCurr%part
-        DEALLOCATE(partCurr)
-        partCurr => partNext
-
-      END DO
-      IF (ASSOCIATED(partSurfaces%head)) NULLIFY(partSurfaces%head)
-      IF (ASSOCIATED(partSurfaces%tail)) NULLIFY(partSurfaces%tail)
-      partSurfaces%amount = 0
+      CALL resetList(partSurfaces, partOld, nn)
 
       !$OMP SECTION
       !Reset output in nodes
@@ -827,6 +834,7 @@ MODULE moduleSolver
       USE moduleOutput
       USE moduleSpecies
       USE moduleCompTime
+      USE moduleProbe
       IMPLICIT NONE
 
       INTEGER, INTENT(in):: t
@@ -838,6 +846,7 @@ MODULE moduleSolver
         !Resets output counter
         counterOutput=0
 
+        CALL outputProbes(t)
         CALL mesh%printOutput(t)
         IF (ASSOCIATED(meshForMCC)) CALL meshForMCC%printColl(t)
         CALL mesh%printEM(t)

From 90e667f0a5f2e1701ac7cb78aa7a1ef0b2ef28b2 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 18 Oct 2021 16:36:19 +0200
Subject: [PATCH 041/203] Fixing issue with makefile

The dependencies of the modules have been streamlined.
---
 src/modules/makefile | 29 ++++++++++-------------------
 1 file changed, 10 insertions(+), 19 deletions(-)

diff --git a/src/modules/makefile b/src/modules/makefile
index 4eda2be..c83d436 100644
--- a/src/modules/makefile
+++ b/src/modules/makefile
@@ -5,42 +5,33 @@ OBJS = moduleCaseParam.o moduleCompTime.o moduleList.o \
 			 moduleEM.o moduleRandom.o moduleMath.o \
 			 moduleProbe.o
 
-all: $(OBJS) mesh.o
+all: $(OBJS)
 
-mesh.o: moduleCollisions.o moduleBoundary.o moduleMath.o
+mesh.o: moduleCollisions.o moduleBoundary.o
 	$(MAKE) -C mesh all
 
-moduleCollisions.o: moduleRandom.o moduleTable.o moduleSpecies.o moduleRefParam.o moduleConstParam.o moduleCollisions.f90
+moduleCollisions.o: moduleList.o moduleMath.o moduleRandom.o moduleTable.o moduleSpecies.o moduleRefParam.o moduleConstParam.o moduleCollisions.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleInput.o: moduleParallel.o moduleRefParam.o moduleCaseParam.o moduleSolver.o moduleInject.o moduleBoundary.o moduleErrors.o moduleSpecies.o moduleProbe.o moduleInput.f90
+moduleInput.o: moduleParallel.o moduleSolver.o moduleInject.o moduleInput.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleInject.o: moduleRandom.o moduleSpecies.o moduleSolver.o moduleInject.f90
+moduleInject.o: moduleInject.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleList.o: moduleSpecies.o moduleErrors.o moduleList.f90
+moduleList.o: moduleConstParam.o moduleErrors.o moduleCaseParam.o moduleSpecies.o moduleList.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleOutput.o: moduleMath.o moduleSpecies.o moduleRefParam.o moduleProbe.o moduleOutput.f90
+moduleOutput.o: moduleMath.o moduleRefParam.o moduleOutput.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleRandom.o: moduleConstParam.o moduleRandom.f90
+moduleSolver.o: moduleProbe.o moduleEM.o moduleSolver.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleRefParam.o: moduleConstParam.o moduleRefParam.f90
+moduleProbe.o: mesh.o moduleProbe.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleSpecies.o: moduleErrors.o moduleCaseParam.o moduleSpecies.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
-moduleSolver.o: mesh.o moduleList.o moduleEM.o moduleSpecies.o moduleRefParam.o moduleProbe.o moduleOutput.o moduleSolver.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
-moduleTable.o: moduleErrors.o moduleTable.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
-moduleEM.o: mesh.o moduleSpecies.o moduleEM.f90
+moduleBoundary.o: moduleTable.o moduleBoundary.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
 %.o: %.f90

From 5b5dadce39f9bcd99d0e48c01b020a95711307be Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 8 Apr 2022 19:06:12 +0200
Subject: [PATCH 042/203] Restructuring the geometry and pushers

The geometry and push structure has been reworked to allow eassy adding
new pushers.

Documentation not updated yet.

Baseline for merging Cartesian pushers into one.
---
 makefile                                      |   2 +-
 runs/0D_Argon/input.json                      |  14 +-
 runs/1D_Cathode/Argon+_Background.dat         |  51 --
 runs/1D_Cathode/Electron_Background.dat       |  51 --
 runs/1D_Cathode/inputCart.json                |  15 +-
 runs/1D_Cathode/inputRadEmission.json         |  15 +-
 runs/ALPHIE_Grid/inputBaseCase.json           |   9 +-
 runs/ALPHIE_Grid/inputIonization_0.10mA.json  |   9 +-
 runs/Argon_Expansion/CX_case.json             |   9 +-
 runs/Argon_Expansion/elastic_case.json        |   9 +-
 runs/Argon_Expansion/nocoll_case.json         |   9 +-
 runs/cylFlow/input.json                       |   9 +-
 runs/cylFlow/inputDualMesh.json               |  13 +-
 runs/cylFlow/mesh.msh.opt                     | 629 ------------------
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 | 199 +++---
 src/modules/mesh/moduleMesh.f90               |   2 +
 src/modules/moduleInput.f90                   | 296 +++++----
 src/modules/moduleSolver.f90                  | 140 ++--
 18 files changed, 429 insertions(+), 1052 deletions(-)
 delete mode 100644 runs/1D_Cathode/Argon+_Background.dat
 delete mode 100644 runs/1D_Cathode/Electron_Background.dat
 delete mode 100644 runs/cylFlow/mesh.msh.opt

diff --git a/makefile b/makefile
index 6516128..565f3f8 100644
--- a/makefile
+++ b/makefile
@@ -6,7 +6,7 @@ SRCDIR := $(TOPDIR)/src# source folder
 # compiler
 # gfortran:
 FC := gfortran
-JSONDIR := $(TOPDIR)/json-fortran-8.2.0/build-gfortran
+JSONDIR := $(TOPDIR)/json-fortran/build-gfortran
 # ifort:
 # FC := ifort
 # JSONDIR := $(TOPDIR)/json-fortran-8.2.0/build-ifort
diff --git a/runs/0D_Argon/input.json b/runs/0D_Argon/input.json
index 6940f77..6af25d0 100644
--- a/runs/0D_Argon/input.json
+++ b/runs/0D_Argon/input.json
@@ -1,7 +1,7 @@
 
 {
   "output": {
-    "path": "./runs/0D_test/",
+    "path": "./runs/0D_Argon/",
     "triggerOutput": 1,
     "numColl": true,
 	"folder": "test"
@@ -13,21 +13,19 @@
     "radius": 1.88e-10
   },
   "geometry": {
-    "type":     "1DCart",
-    "meshType": "0D",
+    "dimension": 0,
     "volume": 1e-11
   },
   "species": [
     {"name": "Argon+", "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e0},
     {"name": "Argon",  "type": "neutral", "mass": 6.633e-26,                "weight": 1.0e0}
   ],
-  "case": {
+  "solver": {
     "tau":  [1.0e-6, 1.0e-6],
-    "time": 1.0e-3,
-    "pusher": ["0D", "0D"],
+    "finalTime": 1.0e-3,
     "initial": [
-      {"speciesName": "Argon+", "initialState": "Argon+_Initial.dat"},
-      {"speciesName": "Argon",  "initialState": "Argon_Initial.dat"}
+      {"species": "Argon+", "file": "Argon+_Initial.dat"},
+      {"species": "Argon",  "file": "Argon_Initial.dat"}
     ]
   },
   "interactions": {
diff --git a/runs/1D_Cathode/Argon+_Background.dat b/runs/1D_Cathode/Argon+_Background.dat
deleted file mode 100644
index b9128d9..0000000
--- a/runs/1D_Cathode/Argon+_Background.dat
+++ /dev/null
@@ -1,51 +0,0 @@
-#Element  Density(m^-3)  Velocity  (m/2)  Temperature  (K)
-1  1.8672E+15  -4.2433E+04  0.0000E+00  0.0000E+00  1.7536E+03
-2  1.7491E+15  -4.1621E+04  0.0000E+00  0.0000E+00  1.8298E+03
-3  1.7130E+15  -4.0665E+04  0.0000E+00  0.0000E+00  1.6838E+03
-4  1.7346E+15  -3.9729E+04  0.0000E+00  0.0000E+00  1.5787E+03
-5  1.7565E+15  -3.8817E+04  0.0000E+00  0.0000E+00  1.5641E+03
-6  1.7107E+15  -3.7924E+04  0.0000E+00  0.0000E+00  1.4574E+03
-7  1.6611E+15  -3.7036E+04  0.0000E+00  0.0000E+00  1.3561E+03
-8  1.6543E+15  -3.6166E+04  0.0000E+00  0.0000E+00  1.2648E+03
-9  1.6850E+15  -3.5302E+04  0.0000E+00  0.0000E+00  1.1812E+03
-10  1.7615E+15  -3.4449E+04  0.0000E+00  0.0000E+00  1.1669E+03
-11  1.7123E+15  -3.3627E+04  0.0000E+00  0.0000E+00  1.1458E+03
-12  1.6138E+15  -3.2791E+04  0.0000E+00  0.0000E+00  1.0411E+03
-13  1.6308E+15  -3.1965E+04  0.0000E+00  0.0000E+00  9.6919E+02
-14  1.6581E+15  -3.1161E+04  0.0000E+00  0.0000E+00  9.8432E+02
-15  1.6576E+15  -3.0359E+04  0.0000E+00  0.0000E+00  9.8741E+02
-16  1.6780E+15  -2.9560E+04  0.0000E+00  0.0000E+00  9.1285E+02
-17  1.6906E+15  -2.8768E+04  0.0000E+00  0.0000E+00  8.5525E+02
-18  1.6773E+15  -2.7987E+04  0.0000E+00  0.0000E+00  8.5787E+02
-19  1.6571E+15  -2.7208E+04  0.0000E+00  0.0000E+00  8.3556E+02
-20  1.6547E+15  -2.6431E+04  0.0000E+00  0.0000E+00  7.9246E+02
-21  1.6878E+15  -2.5659E+04  0.0000E+00  0.0000E+00  7.6169E+02
-22  1.7458E+15  -2.4887E+04  0.0000E+00  0.0000E+00  7.4698E+02
-23  1.7634E+15  -2.4124E+04  0.0000E+00  0.0000E+00  7.5560E+02
-24  1.8070E+15  -2.3350E+04  0.0000E+00  0.0000E+00  7.3385E+02
-25  1.8616E+15  -2.2579E+04  0.0000E+00  0.0000E+00  7.1475E+02
-26  1.8601E+15  -2.1822E+04  0.0000E+00  0.0000E+00  7.1208E+02
-27  1.8291E+15  -2.1053E+04  0.0000E+00  0.0000E+00  6.8693E+02
-28  1.8542E+15  -2.0280E+04  0.0000E+00  0.0000E+00  6.5924E+02
-29  1.9410E+15  -1.9518E+04  0.0000E+00  0.0000E+00  6.4794E+02
-30  1.9685E+15  -1.8749E+04  0.0000E+00  0.0000E+00  6.4988E+02
-31  2.0048E+15  -1.7973E+04  0.0000E+00  0.0000E+00  6.2752E+02
-32  2.1060E+15  -1.7194E+04  0.0000E+00  0.0000E+00  6.1567E+02
-33  2.1705E+15  -1.6418E+04  0.0000E+00  0.0000E+00  6.1351E+02
-34  2.1947E+15  -1.5629E+04  0.0000E+00  0.0000E+00  6.0244E+02
-35  2.2625E+15  -1.4824E+04  0.0000E+00  0.0000E+00  6.0286E+02
-36  2.4096E+15  -1.4023E+04  0.0000E+00  0.0000E+00  5.9199E+02
-37  2.5632E+15  -1.3209E+04  0.0000E+00  0.0000E+00  5.8388E+02
-38  2.6774E+15  -1.2384E+04  0.0000E+00  0.0000E+00  5.8875E+02
-39  2.8107E+15  -1.1544E+04  0.0000E+00  0.0000E+00  5.8973E+02
-40  2.9409E+15  -1.0692E+04  0.0000E+00  0.0000E+00  5.9631E+02
-41  3.1254E+15  -9.8219E+03  0.0000E+00  0.0000E+00  5.9943E+02
-42  3.4330E+15  -8.9344E+03  0.0000E+00  0.0000E+00  5.9491E+02
-43  3.7218E+15  -8.0260E+03  0.0000E+00  0.0000E+00  5.9949E+02
-44  4.0857E+15  -7.0817E+03  0.0000E+00  0.0000E+00  6.4591E+02
-45  4.5046E+15  -6.1015E+03  0.0000E+00  0.0000E+00  5.9669E+02
-46  5.4123E+15  -5.0997E+03  0.0000E+00  0.0000E+00  5.7835E+02
-47  6.7144E+15  -4.2183E+03  0.0000E+00  0.0000E+00  4.7454E+02
-48  9.1344E+15  -3.1141E+03  0.0000E+00  0.0000E+00  3.0000E+02
-49  1.4157E+16  -1.8530E+03  0.0000E+00  0.0000E+00  3.0000E+02
-50  2.3064E+16  -9.7547E+02  0.0000E+00  0.0000E+00  2.7186E+02
diff --git a/runs/1D_Cathode/Electron_Background.dat b/runs/1D_Cathode/Electron_Background.dat
deleted file mode 100644
index 5243fab..0000000
--- a/runs/1D_Cathode/Electron_Background.dat
+++ /dev/null
@@ -1,51 +0,0 @@
-#Element  Density(m^-3)  Velocity  (m/2)  Temperature  (K)
-1  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-2  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-3  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-4  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-5  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-6  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-7  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-8  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-9  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-10  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-11  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-12  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-13  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-14  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-15  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-16  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-17  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-18  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-19  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-20  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-21  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-22  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-23  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-24  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-25  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-26  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-27  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-28  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-29  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-30  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-31  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-32  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-33  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-34  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-35  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-36  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-37  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-38  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-39  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-40  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-41  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-42  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-43  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-44  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
-45  7.5916E+12  1.8413E+05  0.0000E+00  0.0000E+00  5.7527E+03
-46  7.5916E+12  1.8413E+05  0.0000E+00  0.0000E+00  5.7527E+03
-47  4.0201E+14  -2.3775E+04  0.0000E+00  0.0000E+00  1.1359E+04
-48  4.0201E+14  -2.3775E+04  0.0000E+00  0.0000E+00  1.1359E+04
-49  6.9489E+15  -8.8002E+03  0.0000E+00  0.0000E+00  9.5125E+03
-50  6.9489E+15  -8.8002E+03  0.0000E+00  0.0000E+00  9.5125E+03
diff --git a/runs/1D_Cathode/inputCart.json b/runs/1D_Cathode/inputCart.json
index 74eb5f7..a2acdc3 100644
--- a/runs/1D_Cathode/inputCart.json
+++ b/runs/1D_Cathode/inputCart.json
@@ -14,7 +14,8 @@
     "temperature": 11604.0
   },
   "geometry": {
-    "type":     "1DCart",
+    "dimension": 1,
+    "type":     "Cart",
     "meshType": "gmsh2",
     "meshFile": "mesh.msh"
   },
@@ -43,15 +44,11 @@
     {"name": "Plasma Cat e",     "species": "Electron", "flow":  2.64e-5, "units": "A", "v": 180000.0,   "T": [ 2300.0,  2300.0,  2300.0],
                                  "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [ 1, 0, 0], "physicalSurface": 1}
   ],
-  "case": {
+  "solver": {
     "tau":  [1.0e-11, 1.0e-11],
-    "time": 4.0e-6,
-    "pusher": ["1DCartCharged", "1DCartCharged"],
-    "EMSolver": "Electrostatic",
-    "initial": [
-      {"speciesName": "Argon+",   "initialState": "Argon+_Background.dat"},
-      {"speciesName": "Electron", "initialState": "Electron_Background.dat"}
-    ]
+    "finalTime": 4.0e-6,
+    "pusher": ["Electrostatic", "Electrostatic"],
+    "EMSolver": "Electrostatic"
   },
   "parallel": {
     "OpenMP":{
diff --git a/runs/1D_Cathode/inputRadEmission.json b/runs/1D_Cathode/inputRadEmission.json
index 14fb767..6f0e892 100644
--- a/runs/1D_Cathode/inputRadEmission.json
+++ b/runs/1D_Cathode/inputRadEmission.json
@@ -14,7 +14,8 @@
     "temperature": 11604.0
   },
   "geometry": {
-    "type":     "1DRad",
+    "dimension": 1,
+    "type":     "Cart",
     "meshType": "gmsh2",
     "meshFile": "mesh.msh"
   },
@@ -43,15 +44,11 @@
     {"name": "Plasma Cat e",     "species": "Electron", "flow":  2.64e-2, "units": "A", "v": 180000.0,   "T": [ 2300.0,  2300.0,  2300.0],
                                  "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [ 1, 0, 0], "physicalSurface": 1}
   ],
-  "case": {
+  "solver": {
     "tau":  [1.0e-11, 1.0e-11],
-    "time": 3.0e-7,
-    "pusher": ["1DRadCharged", "1DRadCharged"],
-    "EMSolver": "Electrostatic",
-    "initial": [
-      {"speciesName": "Argon+",   "initialState": "Argon+_Background.dat"},
-      {"speciesName": "Electron", "initialState": "Electron_Background.dat"}
-    ]
+    "finalTime": 3.0e-7,
+    "pusher": ["Electrostatic", "Electrostatic"],
+    "EMSolver": "Electrostatic"
   },
   "parallel": {
     "OpenMP":{
diff --git a/runs/ALPHIE_Grid/inputBaseCase.json b/runs/ALPHIE_Grid/inputBaseCase.json
index 7cb1ba0..db58686 100644
--- a/runs/ALPHIE_Grid/inputBaseCase.json
+++ b/runs/ALPHIE_Grid/inputBaseCase.json
@@ -8,7 +8,8 @@
 	"folder": "base_case"
   },
   "geometry": {
-    "type":     "2DCyl",
+    "dimension": 2,
+    "type":     "Cyl",
     "meshType": "gmsh2",
     "meshFile": "mesh.msh"
   },
@@ -61,10 +62,10 @@
     "temperature": 2500.0,
     "radius": 1.88e-10
   },
-  "case": {
+  "solver": {
     "tau":  [1.0e-9, 1.0e-11],
-    "time": 1.0e-6,
-    "pusher": ["2DCylCharged", "2DCylCharged"],
+    "finalTime": 1.0e-6,
+    "pusher": ["Electrostatic", "Electrostatic"],
     "WeightingScheme": "Volume",
     "EMSolver": "Electrostatic"
   },
diff --git a/runs/ALPHIE_Grid/inputIonization_0.10mA.json b/runs/ALPHIE_Grid/inputIonization_0.10mA.json
index e7664bd..d328139 100644
--- a/runs/ALPHIE_Grid/inputIonization_0.10mA.json
+++ b/runs/ALPHIE_Grid/inputIonization_0.10mA.json
@@ -8,7 +8,8 @@
 	"folder": "ionization_0.10mA"
   },
   "geometry": {
-    "type":     "2DCyl",
+    "dimension": 2,
+    "type":     "Cyl",
     "meshType": "gmsh2",
     "meshFile": "mesh.msh"
   },
@@ -58,10 +59,10 @@
     "temperature": 2500.0,
     "radius": 1.88e-10
   },
-  "case": {
+  "solver": {
     "tau":  [1.0e-9, 1.0e-11],
-    "time": 1.0e-6,
-    "pusher": ["2DCylCharged", "2DCylCharged"],
+    "finalTime": 1.0e-6,
+    "pusher": ["Electrostatic", "Electrostatic"],
     "WeightingScheme": "Volume",
     "EMSolver": "Electrostatic"
   },
diff --git a/runs/Argon_Expansion/CX_case.json b/runs/Argon_Expansion/CX_case.json
index d382a5d..8081b94 100644
--- a/runs/Argon_Expansion/CX_case.json
+++ b/runs/Argon_Expansion/CX_case.json
@@ -7,7 +7,8 @@
 	"folder": "CX_case"
   },
   "geometry": {
-    "type":     "2DCyl",
+    "dimension": 2,
+    "type":     "Cyl",
     "meshType": "gmsh2",
     "meshFile": "mesh.msh"
   },
@@ -41,10 +42,10 @@
     "temperature": 300.0,
     "radius": 1.88e-10
   },
-  "case": {
+  "solver": {
     "tau":  [1.0e-6, 1.0e-6],
-    "time": 4.0e-3,
-    "pusher": ["2DCylNeutral", "2DCylNeutral"],
+    "finalTime": 4.0e-3,
+    "pusher": ["Neutral", "Neutral"],
     "WeightingScheme": "Volume"
   },
   "interactions": {
diff --git a/runs/Argon_Expansion/elastic_case.json b/runs/Argon_Expansion/elastic_case.json
index ac9fcc7..dab4720 100644
--- a/runs/Argon_Expansion/elastic_case.json
+++ b/runs/Argon_Expansion/elastic_case.json
@@ -7,7 +7,8 @@
 	"folder": "Elastic_case"
   },
   "geometry": {
-    "type":     "2DCyl",
+    "dimension": 2,
+    "type":     "Cyl",
     "meshType": "gmsh2",
     "meshFile": "mesh.msh"
   },
@@ -41,10 +42,10 @@
     "temperature": 300.0,
     "radius": 1.88e-10
   },
-  "case": {
+  "solver": {
     "tau":  [1.0e-6, 1.0e-6],
-    "time": 4.0e-3,
-    "pusher": ["2DCylNeutral", "2DCylNeutral"],
+    "finalTime": 4.0e-3,
+    "pusher": ["Neutral", "Neutral"],
     "WeightingScheme": "Volume"
   },
   "interactions": {
diff --git a/runs/Argon_Expansion/nocoll_case.json b/runs/Argon_Expansion/nocoll_case.json
index 55dceb5..094fb80 100644
--- a/runs/Argon_Expansion/nocoll_case.json
+++ b/runs/Argon_Expansion/nocoll_case.json
@@ -7,7 +7,8 @@
 	"folder": "Nocoll_case"
   },
   "geometry": {
-    "type":     "2DCyl",
+    "dimension": 2,
+    "type":     "Cyl",
     "meshType": "gmsh2",
     "meshFile": "mesh.msh"
   },
@@ -41,10 +42,10 @@
     "temperature": 300.0,
     "radius": 1.88e-10
   },
-  "case": {
+  "solver": {
     "tau":  [1.0e-6, 1.0e-6],
-    "time": 4.0e-3,
-    "pusher": ["2DCylNeutral", "2DCylNeutral"],
+    "finalTime": 4.0e-3,
+    "pusher": ["Neutral", "Neutral"],
     "WeightingScheme": "Volume"
   },
   "parallel": {
diff --git a/runs/cylFlow/input.json b/runs/cylFlow/input.json
index 88029a2..677206e 100644
--- a/runs/cylFlow/input.json
+++ b/runs/cylFlow/input.json
@@ -6,7 +6,8 @@
 	"numColl": true
   },
   "geometry": {
-    "type":     "2DCyl",
+    "dimension": 2,
+    "type":     "Cyl",
     "meshType": "gmsh2",
     "meshFile": "meshSingle.msh"
   },
@@ -40,10 +41,10 @@
     "temperature": 300.0,
     "radius": 1.88e-10
   },
-  "case": {
+  "solver": {
     "tau":  [5.0e-7],
-    "time":  1.0e-3,
-    "pusher": ["2DCylNeutral"],
+    "finalTime":  1.0e-3,
+    "pusher": ["Neutral"],
     "WeightingScheme": "Volume"
   },
   "interactions": {
diff --git a/runs/cylFlow/inputDualMesh.json b/runs/cylFlow/inputDualMesh.json
index 1f2d146..42d539c 100644
--- a/runs/cylFlow/inputDualMesh.json
+++ b/runs/cylFlow/inputDualMesh.json
@@ -6,9 +6,11 @@
 	"numColl": true
   },
   "geometry": {
-    "type":     "2DCyl",
+    "dimension": 2,
+    "type":     "Cyl",
     "meshType": "gmsh2",
-    "meshFile": "mesh.msh"
+    "meshFile": "mesh.msh",
+    "meshCollisions": "meshColl.msh"
   },
   "species": [
     {"name": "Argon",  "type": "neutral", "mass": 6.633e-26, "weight": 5.0e8}
@@ -40,15 +42,14 @@
     "temperature": 300.0,
     "radius": 1.88e-10
   },
-  "case": {
+  "solver": {
     "tau":  [5.0e-7],
-    "time":  1.0e-3,
-    "pusher": ["2DCylNeutral"],
+    "finalTime":  1.0e-3,
+    "pusher": ["Neutral"],
     "WeightingScheme": "Volume"
   },
   "interactions": {
     "folderCollisions": "./data/collisions/",
-    "meshCollisions": "meshColl.msh",
     "collisions": [
       {"species_i": "Argon", "species_j": "Argon", 
        "cTypes": [
diff --git a/runs/cylFlow/mesh.msh.opt b/runs/cylFlow/mesh.msh.opt
deleted file mode 100644
index b720b92..0000000
--- a/runs/cylFlow/mesh.msh.opt
+++ /dev/null
@@ -1,629 +0,0 @@
-General.AxesFormatX = "%.3g";
-General.AxesFormatY = "%.3g";
-General.AxesFormatZ = "%.3g";
-General.AxesLabelX = "z (m)";
-General.AxesLabelY = "r (m)";
-General.AxesLabelZ = "";
-General.BackgroundImageFileName = "";
-General.BuildOptions = " 64Bit ALGLIB Bamg Blas Blossom DIntegration Dlopen DomHex Fltk GMP Gmm[system] Hxt Hxt3D Jpeg Kbipack Lapack LinuxJoystick MathEx Mesh Metis[system] Mmg3d Mpeg NativeFileChooser Netgen ONELAB ONELABMetamodel OpenCASCADE OpenCASCADE-CAF OpenGL OpenMP OptHom Parser Plugins Png Post QuadTri Solver TetGen/BR Zlib";
-General.DefaultFileName = "untitled.geo";
-General.Display = "";
-General.ErrorFileName = ".gmsh-errors";
-General.ExecutableFileName = "/usr/bin/gmsh";
-General.FileName = "/home/jorge/PPartiC/runs/cylFlow/mesh.msh";
-General.FltkTheme = "";
-General.GraphicsFont = "Helvetica";
-General.GraphicsFontEngine = "Native";
-General.GraphicsFontTitle = "Helvetica";
-General.OptionsFileName = ".gmsh-options";
-General.RecentFile0 = "/home/jorge/PPartiC/runs/cylFlow/mesh.msh";
-General.RecentFile1 = "untitled.geo";
-General.RecentFile2 = "mesh/Neutral_Expansion_Div.geo";
-General.RecentFile3 = "mesh/Neutral_Expansion_Div.msh";
-General.RecentFile4 = "Neutral_Expansion_Div.msh";
-General.RecentFile5 = "Neutral_Expansion.geo";
-General.RecentFile6 = "Neutral_Expansion_Div.geo";
-General.RecentFile7 = "/home/jorge/Dropbox/UPMPlasmaLab/Post-Doc/Codes/PICCIL2D/PIC-FEM/Neutral_Expansion_Div.msh";
-General.RecentFile8 = "Neutral_Expansion.msh";
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-Geometry.Light = 1;
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-Geometry.Normals = 0;
-Geometry.NumSubEdges = 40;
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-Geometry.OffsetX = 0;
-Geometry.OffsetY = 0;
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-Geometry.OldCircle = 0;
-Geometry.OldRuledSurface = 0;
-Geometry.OldNewReg = 1;
-Geometry.Points = 1;
-Geometry.PointNumbers = 0;
-Geometry.PointSelectSize = 6;
-Geometry.PointSize = 4;
-Geometry.PointType = 0;
-Geometry.ReparamOnFaceRobust = 0;
-Geometry.ScalingFactor = 1;
-Geometry.OrientedPhysicals = 1;
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-Geometry.SnapY = 0.1;
-Geometry.SnapZ = 0.1;
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-Geometry.SurfaceNumbers = 0;
-Geometry.SurfaceType = 0;
-Geometry.Tangents = 0;
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-Geometry.ToleranceBoolean = 0;
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-Geometry.TransformXX = 1;
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-Geometry.TransformXZ = 0;
-Geometry.TransformYX = 0;
-Geometry.TransformYY = 1;
-Geometry.TransformYZ = 0;
-Geometry.TransformZX = 0;
-Geometry.TransformZY = 0;
-Geometry.TransformZZ = 1;
-Geometry.Volumes = 0;
-Geometry.VolumeNumbers = 0;
-Geometry.Color.Points = {90,90,90};
-Geometry.Color.Lines = {0,0,255};
-Geometry.Color.Surfaces = {128,128,128};
-Geometry.Color.Volumes = {255,255,0};
-Geometry.Color.Selection = {255,0,0};
-Geometry.Color.HighlightZero = {255,0,0};
-Geometry.Color.HighlightOne = {255,150,0};
-Geometry.Color.HighlightTwo = {255,255,0};
-Geometry.Color.Tangents = {255,255,0};
-Geometry.Color.Normals = {255,0,0};
-Geometry.Color.Projection = {0,255,0};
-Mesh.Algorithm = 2;
-Mesh.Algorithm3D = 1;
-Mesh.AngleSmoothNormals = 30;
-Mesh.AngleToleranceFacetOverlap = 0.1;
-Mesh.AnisoMax = 9.999999999999999e+32;
-Mesh.AllowSwapAngle = 10;
-Mesh.BdfFieldFormat = 1;
-Mesh.Binary = 0;
-Mesh.BoundaryLayerFanPoints = 5;
-Mesh.CgnsImportOrder = 1;
-Mesh.CgnsConstructTopology = 0;
-Mesh.CharacteristicLengthExtendFromBoundary = 1;
-Mesh.CharacteristicLengthFactor = 1;
-Mesh.CharacteristicLengthMin = 0;
-Mesh.CharacteristicLengthMax = 1e+22;
-Mesh.CharacteristicLengthFromCurvature = 0;
-Mesh.CharacteristicLengthFromPoints = 1;
-Mesh.Clip = 0;
-Mesh.ColorCarousel = 0;
-Mesh.CompoundClassify = 1;
-Mesh.CompoundCharacteristicLengthFactor = 0.5;
-Mesh.CpuTime = 0;
-Mesh.DrawSkinOnly = 0;
-Mesh.Dual = 0;
-Mesh.ElementOrder = 1;
-Mesh.Explode = 1;
-Mesh.FlexibleTransfinite = 0;
-Mesh.NewtonConvergenceTestXYZ = 0;
-Mesh.Format = 10;
-Mesh.Hexahedra = 1;
-Mesh.HighOrderIterMax = 100;
-Mesh.HighOrderNumLayers = 6;
-Mesh.HighOrderOptimize = 0;
-Mesh.HighOrderPassMax = 25;
-Mesh.HighOrderPeriodic = 0;
-Mesh.HighOrderPoissonRatio = 0.33;
-Mesh.HighOrderPrimSurfMesh = 0;
-Mesh.HighOrderDistCAD = 0;
-Mesh.HighOrderThresholdMin = 0.1;
-Mesh.HighOrderThresholdMax = 2;
-Mesh.LabelSampling = 1;
-Mesh.LabelType = 0;
-Mesh.LcIntegrationPrecision = 1e-09;
-Mesh.Light = 1;
-Mesh.LightLines = 2;
-Mesh.LightTwoSide = 1;
-Mesh.Lines = 1;
-Mesh.LineNumbers = 0;
-Mesh.LineWidth = 1;
-Mesh.MaxNumThreads1D = 0;
-Mesh.MaxNumThreads2D = 0;
-Mesh.MaxNumThreads3D = 0;
-Mesh.MeshOnlyVisible = 0;
-Mesh.MetisAlgorithm = 1;
-Mesh.MetisEdgeMatching = 2;
-Mesh.MetisMaxLoadImbalance = -1;
-Mesh.MetisObjective = 1;
-Mesh.MetisMinConn = -1;
-Mesh.MetisRefinementAlgorithm = 2;
-Mesh.MinimumCirclePoints = 7;
-Mesh.MinimumCurvePoints = 3;
-Mesh.MshFileVersion = 4.1;
-Mesh.MedFileMinorVersion = -1;
-Mesh.MedImportGroupsOfNodes = 0;
-Mesh.MedSingleModel = 0;
-Mesh.PartitionHexWeight = -1;
-Mesh.PartitionLineWeight = -1;
-Mesh.PartitionPrismWeight = -1;
-Mesh.PartitionPyramidWeight = -1;
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-Mesh.PartitionTetWeight = -1;
-Mesh.PartitionTriWeight = -1;
-Mesh.PartitionCreateTopology = 1;
-Mesh.PartitionCreatePhysicals = 1;
-Mesh.PartitionCreateGhostCells = 0;
-Mesh.PartitionSplitMeshFiles = 0;
-Mesh.PartitionTopologyFile = 0;
-Mesh.PartitionOldStyleMsh2 = 1;
-Mesh.NbHexahedra = 0;
-Mesh.NbNodes = 27248;
-Mesh.NbPartitions = 0;
-Mesh.NbPrisms = 0;
-Mesh.NbPyramids = 0;
-Mesh.NbTrihedra = 0;
-Mesh.NbQuadrangles = 26877;
-Mesh.NbTetrahedra = 0;
-Mesh.NbTriangles = 0;
-Mesh.Normals = 0;
-Mesh.NumSubEdges = 2;
-Mesh.Optimize = 1;
-Mesh.OptimizeThreshold = 0.3;
-Mesh.OptimizeNetgen = 0;
-Mesh.Points = 0;
-Mesh.PointNumbers = 0;
-Mesh.PointSize = 4;
-Mesh.PointType = 0;
-Mesh.Prisms = 1;
-Mesh.Pyramids = 1;
-Mesh.Trihedra = 1;
-Mesh.Quadrangles = 1;
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-Mesh.QualityType = 2;
-Mesh.RadiusInf = 0;
-Mesh.RadiusSup = 0;
-Mesh.RandomFactor = 1e-09;
-Mesh.RandomFactor3D = 1e-12;
-Mesh.RandomSeed = 1;
-Mesh.PreserveNumberingMsh2 = 0;
-Mesh.IgnorePeriodicity = 0;
-Mesh.RecombinationAlgorithm = 1;
-Mesh.RecombineAll = 0;
-Mesh.RecombineOptimizeTopology = 5;
-Mesh.Recombine3DAll = 0;
-Mesh.Recombine3DLevel = 0;
-Mesh.Recombine3DConformity = 0;
-Mesh.RefineSteps = 10;
-Mesh.Renumber = 1;
-Mesh.SaveAll = 0;
-Mesh.SaveElementTagType = 1;
-Mesh.SaveTopology = 0;
-Mesh.SaveParametric = 0;
-Mesh.SaveGroupsOfNodes = 0;
-Mesh.ScalingFactor = 1;
-Mesh.SecondOrderExperimental = 0;
-Mesh.SecondOrderIncomplete = 0;
-Mesh.SecondOrderLinear = 0;
-Mesh.Smoothing = 1;
-Mesh.SmoothCrossField = 0;
-Mesh.CrossFieldClosestPoint = 1;
-Mesh.SmoothNormals = 0;
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-Mesh.StlOneSolidPerSurface = 0;
-Mesh.StlRemoveDuplicateTriangles = 0;
-Mesh.SubdivisionAlgorithm = 0;
-Mesh.SurfaceEdges = 0;
-Mesh.SurfaceFaces = 0;
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-Mesh.SwitchElementTags = 0;
-Mesh.Tangents = 0;
-Mesh.Tetrahedra = 1;
-Mesh.ToleranceEdgeLength = 0;
-Mesh.ToleranceInitialDelaunay = 1e-08;
-Mesh.Triangles = 1;
-Mesh.UnvStrictFormat = 1;
-Mesh.VolumeEdges = 1;
-Mesh.VolumeFaces = 0;
-Mesh.VolumeNumbers = 0;
-Mesh.Voronoi = 0;
-Mesh.ZoneDefinition = 0;
-Mesh.Color.Points = {0,0,255};
-Mesh.Color.PointsSup = {255,0,255};
-Mesh.Color.Lines = {0,0,0};
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-Mesh.Color.Quadrangles = {130,120,225};
-Mesh.Color.Tetrahedra = {160,150,255};
-Mesh.Color.Hexahedra = {130,120,225};
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-Mesh.Color.Pyramids = {217,113,38};
-Mesh.Color.Trihedra = {20,255,0};
-Mesh.Color.Tangents = {255,255,0};
-Mesh.Color.Normals = {255,0,0};
-Mesh.Color.Zero = {255,120,0};
-Mesh.Color.One = {0,255,132};
-Mesh.Color.Two = {255,160,0};
-Mesh.Color.Three = {0,255,192};
-Mesh.Color.Four = {255,200,0};
-Mesh.Color.Five = {0,216,255};
-Mesh.Color.Six = {255,240,0};
-Mesh.Color.Seven = {0,176,255};
-Mesh.Color.Eight = {228,255,0};
-Mesh.Color.Nine = {0,116,255};
-Mesh.Color.Ten = {188,255,0};
-Mesh.Color.Eleven = {0,76,255};
-Mesh.Color.Twelve = {148,255,0};
-Mesh.Color.Thirteen = {24,0,255};
-Mesh.Color.Fourteen = {108,255,0};
-Mesh.Color.Fifteen = {84,0,255};
-Mesh.Color.Sixteen = {68,255,0};
-Mesh.Color.Seventeen = {104,0,255};
-Mesh.Color.Eighteen = {0,255,52};
-Mesh.Color.Nineteen = {184,0,255};
-Solver.Executable0 = "";
-Solver.Executable1 = "";
-Solver.Executable2 = "";
-Solver.Executable3 = "";
-Solver.Executable4 = "";
-Solver.Executable5 = "";
-Solver.Executable6 = "";
-Solver.Executable7 = "";
-Solver.Executable8 = "";
-Solver.Executable9 = "";
-Solver.Name0 = "GetDP";
-Solver.Name1 = "";
-Solver.Name2 = "";
-Solver.Name3 = "";
-Solver.Name4 = "";
-Solver.Name5 = "";
-Solver.Name6 = "";
-Solver.Name7 = "";
-Solver.Name8 = "";
-Solver.Name9 = "";
-Solver.Extension0 = ".pro";
-Solver.Extension1 = "";
-Solver.Extension2 = "";
-Solver.Extension3 = "";
-Solver.Extension4 = "";
-Solver.Extension5 = "";
-Solver.Extension6 = "";
-Solver.Extension7 = "";
-Solver.Extension8 = "";
-Solver.Extension9 = "";
-Solver.OctaveInterpreter = "octave";
-Solver.PythonInterpreter = "python";
-Solver.RemoteLogin0 = "";
-Solver.RemoteLogin1 = "";
-Solver.RemoteLogin2 = "";
-Solver.RemoteLogin3 = "";
-Solver.RemoteLogin4 = "";
-Solver.RemoteLogin5 = "";
-Solver.RemoteLogin6 = "";
-Solver.RemoteLogin7 = "";
-Solver.RemoteLogin8 = "";
-Solver.RemoteLogin9 = "";
-Solver.SocketName = ".gmshsock";
-Solver.AlwaysListen = 0;
-Solver.AutoArchiveOutputFiles = 0;
-Solver.AutoCheck = 1;
-Solver.AutoLoadDatabase = 0;
-Solver.AutoSaveDatabase = 1;
-Solver.AutoMesh = 2;
-Solver.AutoMergeFile = 1;
-Solver.AutoShowViews = 2;
-Solver.AutoShowLastStep = 1;
-Solver.Plugins = 0;
-Solver.ShowInvisibleParameters = 0;
-Solver.Timeout = 5;
-PostProcessing.DoubleClickedGraphPointCommand = "";
-PostProcessing.GraphPointCommand = "";
-PostProcessing.AnimationDelay = 0.1;
-PostProcessing.AnimationCycle = 0;
-PostProcessing.AnimationStep = 1;
-PostProcessing.CombineRemoveOriginal = 1;
-PostProcessing.DoubleClickedGraphPointX = 0;
-PostProcessing.DoubleClickedGraphPointY = 0;
-PostProcessing.DoubleClickedView = 0;
-PostProcessing.ForceElementData = 0;
-PostProcessing.ForceNodeData = 0;
-PostProcessing.Format = 10;
-PostProcessing.GraphPointX = 0;
-PostProcessing.GraphPointY = 0;
-PostProcessing.HorizontalScales = 1;
-PostProcessing.Link = 0;
-PostProcessing.NbViews = 0;
-PostProcessing.Plugins = 1;
-PostProcessing.SaveInterpolationMatrices = 1;
-PostProcessing.SaveMesh = 1;
-PostProcessing.Smoothing = 0;
-Print.ParameterCommand = "Mesh.Clip=1; View.Clip=1; General.ClipWholeElements=1; General.Clip0D=Print.Parameter; SetChanged;";
-Print.Parameter = 0;
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-Print.ParameterLast = 1;
-Print.ParameterSteps = 10;
-Print.Background = 0;
-Print.CompositeWindows = 0;
-Print.PgfTwoDim = 1;
-Print.PgfExportAxis = 0;
-Print.PgfHorizontalBar = 0;
-Print.DeleteTemporaryFiles = 1;
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-Print.EpsLineWidthFactor = 1;
-Print.EpsOcclusionCulling = 1;
-Print.EpsPointSizeFactor = 1;
-Print.EpsPS3Shading = 0;
-Print.EpsQuality = 1;
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-Print.GeoLabels = 1;
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-Print.GifDither = 0;
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-Print.GifSort = 1;
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-Print.Height = -1;
-Print.JpegQuality = 100;
-Print.JpegSmoothing = 0;
-Print.PostElementary = 1;
-Print.PostElement = 0;
-Print.PostGamma = 0;
-Print.PostEta = 0;
-Print.PostSICN = 0;
-Print.PostSIGE = 0;
-Print.PostDisto = 0;
-Print.TexAsEquation = 0;
-Print.Text = 1;
-Print.X3dCompatibility = 0;
-Print.X3dPrecision = 1e-09;
-Print.X3dRemoveInnerBorders = 0;
-Print.X3dTransparency = 0;
-Print.Width = -1;
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index d6fe4d7..0a3a557 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -67,24 +67,35 @@ MODULE moduleMeshInputGmsh2
       !Read the nodes information
       DO e = 1, self%numNodes
         READ(10, *) n, r(1), r(2), r(3)
-        SELECT CASE(self%geometry)
-        CASE("3DCart")
+        SELECT CASE(self%dimen)
+        CASE(3)
           ALLOCATE(meshNode3Dcart::self%nodes(n)%obj)
+          self%connectMesh => connectMesh3DCart
 
-        CASE("2DCyl")
-          ALLOCATE(meshNode2DCyl:: self%nodes(n)%obj)
+        CASE(2)
+          SELECT CASE(self%geometry)
+          CASE("Cyl")
+            ALLOCATE(meshNode2DCyl:: self%nodes(n)%obj)
+            self%connectMesh => connectMesh2DCyl
+
+          CASE("Cart")
+            ALLOCATE(meshNode2DCart:: self%nodes(n)%obj)
+            self%connectMesh => connectMesh2DCart
+
+          END SELECT
           r(3) = 0.D0
 
-        CASE("2DCart")
-          ALLOCATE(meshNode2DCart:: self%nodes(n)%obj)
-          r(3) = 0.D0
+        CASE(1)
+          SELECT CASE(self%geometry)
+          CASE("Rad")
+            ALLOCATE(meshNode1DRad:: self%nodes(n)%obj)
+            self%connectMesh => connectMesh1DRad
 
-        CASE("1DRad")
-          ALLOCATE(meshNode1DRad:: self%nodes(n)%obj)
-          r(2:3) = 0.D0
+          CASE("Cart")
+            ALLOCATE(meshNode1DCart:: self%nodes(n)%obj)
+            self%connectMesh => connectMesh1DCart
 
-        CASE("1DCart")
-          ALLOCATE(meshNode1DCart:: self%nodes(n)%obj)
+          END SELECT
           r(2:3) = 0.D0
 
         END SELECT
@@ -92,7 +103,6 @@ MODULE moduleMeshInputGmsh2
 
       END DO
 
-
       !Skip comments
       READ(10, *)
       READ(10, *)
@@ -106,16 +116,16 @@ MODULE moduleMeshInputGmsh2
         self%numEdges = 0
         DO e = 1, totalNumElem
           READ(10, *) eTemp, elemType
-          SELECT CASE(self%geometry)
-          CASE("3DCart")
+          SELECT CASE(self%dimen)
+          CASE(3)
             !Element type 2 is triangle in gmsh
             IF (elemType == 2)  self%numEdges = e
 
-          CASE("2DCyl","2DCart")
+          CASE(2)
             !Element type 1 is segment in Gmsh
             IF (elemType == 1)  self%numEdges = e
 
-          CASE("1DRad","1DCart")
+          CASE(1)
             !Element type 15 is physical point in Gmsh
             IF (elemType == 15) self%numEdges = e
 
@@ -148,8 +158,8 @@ MODULE moduleMeshInputGmsh2
         !Reads edges
         DO e=1, self%numEdges
           !Reads the edge according to the geometry
-          SELECT CASE(self%geometry)
-          CASE("3DCart")
+          SELECT CASE(self%dimen)
+          CASE(3)
             READ(10, *) n, elemType, eTemp, boundaryType
             BACKSPACE(10)
 
@@ -167,41 +177,49 @@ MODULE moduleMeshInputGmsh2
 
             END SELECT
 
-          CASE("2DCyl")
-            ALLOCATE(p(1:2))
+          CASE (2)
+            SELECT CASE(self%geometry)
+            CASE("Cyl")
+              ALLOCATE(p(1:2))
 
-            READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
-            !Associate boundary condition procedure.
-            bt = getBoundaryId(boundaryType)
+              READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
+              !Associate boundary condition procedure.
+              bt = getBoundaryId(boundaryType)
 
-            ALLOCATE(meshEdge2DCyl:: self%edges(e)%obj)
+              ALLOCATE(meshEdge2DCyl:: self%edges(e)%obj)
 
-          CASE("2DCart")
-            ALLOCATE(p(1:2))
+            CASE("Cart")
+              ALLOCATE(p(1:2))
 
-            READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
-            !Associate boundary condition procedure.
-            bt = getBoundaryId(boundaryType)
+              READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
+              !Associate boundary condition procedure.
+              bt = getBoundaryId(boundaryType)
 
-            ALLOCATE(meshEdge2DCart:: self%edges(e)%obj)
+              ALLOCATE(meshEdge2DCart:: self%edges(e)%obj)
 
-          CASE("1DRad")
-            ALLOCATE(p(1:1))
+            END SELECT
 
-            READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
-            !Associate boundary condition 
-            bt = getBoundaryId(boundaryType)
+          CASE(1)
+            SELECT CASE(self%geometry)
+            CASE("Rad")
+              ALLOCATE(p(1:1))
 
-            ALLOCATE(meshEdge1DRad:: self%edges(e)%obj)
+              READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
+              !Associate boundary condition 
+              bt = getBoundaryId(boundaryType)
 
-          CASE("1DCart")
-            ALLOCATE(p(1:1))
+              ALLOCATE(meshEdge1DRad:: self%edges(e)%obj)
 
-            READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
-            !Associate boundary condition 
-            bt = getBoundaryId(boundaryType)
+            CASE("Cart")
+              ALLOCATE(p(1:1))
 
-            ALLOCATE(meshEdge1DCart:: self%edges(e)%obj)
+              READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
+              !Associate boundary condition 
+              bt = getBoundaryId(boundaryType)
+
+              ALLOCATE(meshEdge1DCart:: self%edges(e)%obj)
+
+            END SELECT
 
           END SELECT
 
@@ -215,8 +233,8 @@ MODULE moduleMeshInputGmsh2
       !Read and initialize volumes
       DO e = 1, self%numVols
         !Reads the volume according to the geometry
-        SELECT CASE(self%geometry)
-        CASE("3DCart")
+        SELECT CASE(self%dimen)
+        CASE(3)
           READ(10, *) n, elemType
           BACKSPACE(10)
 
@@ -229,56 +247,64 @@ MODULE moduleMeshInputGmsh2
 
           END SELECT
 
-        CASE("2DCyl")
-          READ(10,*) n, elemType
-          BACKSPACE(10)
+        CASE(2)
+          SELECT CASE(self%geometry)
+          CASE("Cyl")
+            READ(10,*) n, elemType
+            BACKSPACE(10)
 
-          SELECT CASE(elemType)
-          CASE (2)
-            !Triangular element
-            ALLOCATE(p(1:3))
-            READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:3)
-            ALLOCATE(meshVol2DCylTria:: self%vols(e)%obj)
+            SELECT CASE(elemType)
+            CASE (2)
+              !Triangular element
+              ALLOCATE(p(1:3))
+              READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:3)
+              ALLOCATE(meshVol2DCylTria:: self%vols(e)%obj)
 
-          CASE (3)
-            !Quadrilateral element
-            ALLOCATE(p(1:4))
-            READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:4)
-            ALLOCATE(meshVol2DCylQuad:: self%vols(e)%obj)
+            CASE (3)
+              !Quadrilateral element
+              ALLOCATE(p(1:4))
+              READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:4)
+              ALLOCATE(meshVol2DCylQuad:: self%vols(e)%obj)
+
+            END SELECT
+
+          CASE("Cart")
+            READ(10,*) n, elemType
+            BACKSPACE(10)
+
+            SELECT CASE(elemType)
+            CASE (2)
+              !Triangular element
+              ALLOCATE(p(1:3))
+              READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:3)
+              ALLOCATE(meshVol2DCartTria:: self%vols(e)%obj)
+
+            CASE (3)
+              !Quadrilateral element
+              ALLOCATE(p(1:4))
+              READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:4)
+              ALLOCATE(meshVol2DCartQuad:: self%vols(e)%obj)
+
+            END SELECT
 
           END SELECT
 
-        CASE("2DCart")
-          READ(10,*) n, elemType
-          BACKSPACE(10)
+        CASE(1)
+          SELECT CASE(self%geometry)
+          CASE("Rad")
+            ALLOCATE(p(1:2))
 
-          SELECT CASE(elemType)
-          CASE (2)
-            !Triangular element
-            ALLOCATE(p(1:3))
-            READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:3)
-            ALLOCATE(meshVol2DCartTria:: self%vols(e)%obj)
+            READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:2)
+            ALLOCATE(meshVol1DRadSegm:: self%vols(e)%obj)
 
-          CASE (3)
-            !Quadrilateral element
-            ALLOCATE(p(1:4))
-            READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:4)
-            ALLOCATE(meshVol2DCartQuad:: self%vols(e)%obj)
+          CASE("Cart")
+            ALLOCATE(p(1:2))
+
+            READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:2)
+            ALLOCATE(meshVol1DCartSegm:: self%vols(e)%obj)
 
           END SELECT
 
-        CASE("1DRad")
-          ALLOCATE(p(1:2))
-
-          READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:2)
-          ALLOCATE(meshVol1DRadSegm:: self%vols(e)%obj)
-
-        CASE("1DCart")
-          ALLOCATE(p(1:2))
-
-          READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:2)
-          ALLOCATE(meshVol1DCartSegm:: self%vols(e)%obj)
-
         END SELECT
 
         CALL self%vols(e)%obj%init(n - numEdges, p, self%nodes)
@@ -288,6 +314,9 @@ MODULE moduleMeshInputGmsh2
 
       CLOSE(10)
 
+      !Call mesh connectivity
+      CALL self%connectMesh
+
     END SUBROUTINE readGmsh2
 
     !Reads the initial information from an output file for an species
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 77170da..19283b5 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -262,6 +262,8 @@ MODULE moduleMesh
 
   !Generic mesh type
   TYPE, ABSTRACT:: meshGeneric
+    !Dimension of the mesh
+    INTEGER:: dimen
     !Geometry of the mesh
     CHARACTER(:), ALLOCATABLE:: geometry
     !Number of elements
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 56f5f79..d250954 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -40,16 +40,6 @@ MODULE moduleInput
       CALL readSpecies(config)
       CALL checkStatus(config, "readSpecies")
 
-      !Reads case parameters
-      CALL verboseError('Reading Case parameters...')
-      CALL readCase(config)
-      CALL checkStatus(config, "readCase")
-
-      !Read interactions between species
-      CALL verboseError('Reading interaction between species...')
-      CALL readInteractions(config)
-      CALL checkStatus(config, "readInteractions")
-
       !Read boundaries
       CALL verboseError('Reading boundary conditions...')
       CALL readBoundary(config)
@@ -60,6 +50,16 @@ MODULE moduleInput
       CALL readGeometry(config)
       CALL checkStatus(config, "readGeometry")
 
+      !Read solver parameters
+      CALL verboseError('Reading Solver parameters...')
+      CALL readSolver(config)
+      CALL checkStatus(config, "readSolver")
+
+      !Read interactions between species
+      CALL verboseError('Reading interaction between species...')
+      CALL readInteractions(config)
+      CALL checkStatus(config, "readInteractions")
+
       !Read probes
       CALL verboseError('Reading Probes...')
       CALL readProbes(config)
@@ -85,9 +85,12 @@ MODULE moduleInput
       !Copies input file to output folder
       CALL EXECUTE_COMMAND_LINE('cp ' // inputFile // ' ' // path // folder)
       !Copies particle mesh
-      CALL EXECUTE_COMMAND_LINE('cp ' // pathMeshParticle // ' ' // path // folder)
-      IF (doubleMesh) THEN
-        CALL EXECUTE_COMMAND_LINE('cp ' // pathMeshColl // ' ' // path // folder)
+      IF (mesh%dimen > 0) THEN
+        CALL EXECUTE_COMMAND_LINE('cp ' // pathMeshParticle // ' ' // path // folder)
+        IF (doubleMesh) THEN
+          CALL EXECUTE_COMMAND_LINE('cp ' // pathMeshColl // ' ' // path // folder)
+
+        END IF
 
       END IF
 
@@ -156,7 +159,7 @@ MODULE moduleInput
     END SUBROUTINE readReference
 
     !Reads the specific case parameters
-    SUBROUTINE readCase(config)
+    SUBROUTINE readSolver(config)
       USE moduleRefParam
       USE moduleErrors
       USE moduleCaseParam
@@ -164,6 +167,7 @@ MODULE moduleInput
       USE moduleSpecies
       USE moduleCollisions
       USE moduleOutput
+      USE moduleMesh
       USE json_module
       IMPLICIT NONE
 
@@ -172,47 +176,67 @@ MODULE moduleInput
       CHARACTER(:), ALLOCATABLE:: object
       !simulation final and initial times in [t]
       REAL(8):: finalTime, initialTime
-      CHARACTER(:), ALLOCATABLE:: pusherType, WSType
+      CHARACTER(:), ALLOCATABLE:: pusherType, WSType, EMType
       INTEGER:: nTau, nSolver
       INTEGER:: i
       CHARACTER(2):: iString
       CHARACTER(1):: tString
 
-      object = 'case'
+      object = 'solver'
 
       !Time parameters
       CALL config%info(object // '.tau', found, n_children = nTau)
-      IF (.NOT. found .OR. nTau == 0) CALL criticalError('Required parameter tau not found','readCase')
+      IF (.NOT. found .OR. nTau == 0) THEN
+        CALL criticalError('Required parameter tau not found','readSolver')
+
+      END IF
+
       ALLOCATE(tau(1:nSpecies))
+
       DO i = 1, nTau
         WRITE(iString, '(I2)') i
         CALL config%get(object // '.tau(' // TRIM(iString) // ')', tau(i), found)
 
       END DO
+
+      tauMin = MINVAL(tau(1:nTau))
+
       IF (nTau < nSpecies) THEN
         CALL warningError('Using minimum time step for some species')
-        tau(nTau+1:nSpecies) = MINVAL(tau(1:nTau))
+        tau(nTau+1:nSpecies) = tauMin
 
       END IF
-      tauMin = MINVAL(tau)
 
       !Gets the simulation final time
       CALL config%get(object // '.finalTime', finalTime, found)
-      IF (.NOT. found) CALL criticalError('Required parameter finalTime not found','readCase')
+      IF (.NOT. found) THEN
+        CALL criticalError('Required parameter finalTime not found','readSolver')
+
+      END IF
       !Convert simulation time to number of iterations
       tFinal = INT(finalTime / tauMin)
 
       !Gets the simulation initial time
       CALL config%get(object // '.initialTime', initialTime, found)
-      IF (found) tInitial = INT(initialTime / tauMin)
+      IF (found) THEN
+        tInitial = INT(initialTime / tauMin)
+
+      END IF
 
       !Gest the pusher for each species
-      CALL config%info(object // '.pusher', found, n_children = nSolver)
-      IF (.NOT. found .OR. nSolver /= nSpecies) CALL criticalError('Required parameter pusher not found','readCase')
+      IF (mesh%dimen > 0) THEN
+        CALL config%info(object // '.pusher', found, n_children = nSolver)
+        IF (.NOT. found .OR. nSolver /= nSpecies) THEN
+          CALL criticalError('Required parameter pusher not found','readSolver')
+
+        END IF
+
+      END IF
+
       !Allocates all the pushers for particles
       ALLOCATE(solver%pusher(1:nSpecies))
       !Initialize pushers
-      DO i = 1, nSolver
+      DO i = 1, nSpecies
         WRITE(iString, '(I2)') i
         CALL config%get(object // '.pusher(' // TRIM(iString) // ')', pusherType, found)
 
@@ -220,23 +244,39 @@ MODULE moduleInput
         CALL solver%pusher(i)%init(pusherType, tauMin, tau(i))
 
       END DO
-      
-      !Gest the non-analogue scheme
+
+      !Get the non-analogue scheme
       CALL config%get(object // '.WeightingScheme', WSType, found)
       CALL solver%initWS(WSType)
 
-      !Makes tau(s) non-dimensional
+      !Make tau(s) non-dimensional
       tau = tau / ti_ref
       tauMin = tauMin / ti_ref
 
-      !Sets the format of output files accordint to iteration number
+      !Set the format of output files accordint to iteration number
       iterationDigits = INT(LOG10(REAL(tFinal))) + 1
       WRITE(tString, '(I1)') iterationDigits
       iterationFormat = "(I" // tString // "." // tString // ")"
 
-    END SUBROUTINE readCase
+      !Get EM solver
+      CALL config%get(object // '.EMSolver', EMType, found)
+      IF (found) THEN
+        CALL solver%initEM(EMType)
+        SELECT CASE(EMType)
+        CASE("Electrostatic")
+          !Read BC
+          CALL readEMBoundary(config)
 
-    !Reads the initial information for the species
+        CASE DEFAULT
+          CALL criticalError('EM Solver ' // EMType // ' not found', 'readSolver')
+
+        END SELECT
+
+      END IF
+
+    END SUBROUTINE readSolver
+
+    !Read the initial information for the species
     SUBROUTINE readInitial(config)
       USE moduleSpecies
       USE moduleMesh
@@ -270,13 +310,13 @@ MODULE moduleInput
       REAL(8):: vTh
       TYPE(lNode), POINTER:: partCurr, partNext
 
-      CALL config%info('case.initial', found, n_children = nInitial)
+      CALL config%info('solver.initial', found, n_children = nInitial)
 
       IF (found) THEN
         !Reads the information from initial species
         DO i = 1, nInitial
           WRITE(iString, '(I2)') i
-          object = 'case.initial(' // iString // ')'
+          object = 'solver.initial(' // iString // ')'
           CALL config%get(object // '.species', spName, found)
           sp = speciesName2Index(spName)
           CALL config%get(object // '.file', spFile, found)
@@ -372,7 +412,7 @@ MODULE moduleInput
         END DO
 
         !Convert temporal list of particles into initial partOld array
-        !Deallocates the list of initial particles
+        !Deallocate the list of initial particles
         nNewPart = partInitial%amount
         IF (nNewPart > 0) THEN
           ALLOCATE(partOld(1:nNewPart))
@@ -504,13 +544,13 @@ MODULE moduleInput
 
       END DO
 
-      !Reads relations between species
+      !Read relations between species
       DO i = 1, nSpecies
         WRITE(iString, '(I2)') i
         object = 'species(' // TRIM(iString) // ')'
         SELECT TYPE(sp => species(i)%obj)
         TYPE IS (speciesNeutral)
-          !Gets species linked ion
+          !Get species linked ion
           CALL config%get(object // '.ion', linkName, found)
           IF (found) THEN
             linkID =  speciesName2Index(linkName)
@@ -519,7 +559,7 @@ MODULE moduleInput
           END IF
 
         TYPE IS (speciesCharged)
-          !Gets species linked neutral
+          !Get species linked neutral
           CALL config%get(object // '.neutral', linkName, found)
           IF (found) THEN
             linkID     =  speciesName2Index(linkName)
@@ -580,19 +620,6 @@ MODULE moduleInput
         !Checks if MC collisions have been defined
         CALL config%info('interactions.collisions', found)
         IF (found) THEN
-          !Checks if a mesh for collisions has been defined
-          !The mesh will be initialized and reader in readGeometry
-          CALL config%info('interactions.meshCollisions', found)
-          IF (found) THEN
-            !Points meshForMCC to the specific mesh defined
-            meshForMCC => meshColl
-
-          ELSE
-            !Points the meshForMCC pointer to the Particles Mesh
-            meshForMCC => mesh
-
-          END IF
-
           !Reads collision time step
           CALL config%info('interactions.timeStep', found)
           IF (found) THEN
@@ -792,11 +819,6 @@ MODULE moduleInput
       USE moduleMesh
       USE moduleMeshInputGmsh2, ONLY: initGmsh2
       USE moduleMeshInput0D,    ONLY: init0D
-      USE moduleMesh3DCart, ONLY: connectMesh3DCart
-      USE moduleMesh2DCyl,  ONLY: connectMesh2DCyl
-      USE moduleMesh2DCart, ONLY: connectMesh2DCart
-      USE moduleMesh1DRad,  ONLY: connectMesh1DRad
-      USE moduleMesh1DCart, ONLY: connectMesh1DCart
       USE moduleErrors
       USE moduleOutput
       USE moduleRefParam
@@ -805,86 +827,122 @@ MODULE moduleInput
       IMPLICIT NONE
 
       TYPE(json_file), INTENT(inout):: config
+      CHARACTER(:), ALLOCATABLE:: object
       LOGICAL:: found
-      CHARACTER(:), ALLOCATABLE:: meshFormat, meshFile, EMType
+      CHARACTER(:), ALLOCATABLE:: meshFormat, meshFile
       REAL(8):: volume
 
-      !Firstly, indicates if a specific mesh for MC collisions is being use
-      doubleMesh = ASSOCIATED(meshForMCC, meshColl)
+      object = 'geometry'
 
-      !Selects the type of geometry.
-      CALL config%get('geometry.type', mesh%geometry, found)
-      IF (doubleMesh) meshColl%geometry = mesh%geometry
+      !Checks if a mesh for collisions has been defined
+      !The mesh will be initialized and reader in readGeometry
+      CALL config%info(object // '.meshCollisions', found)
+      IF (found) THEN
+        !Points meshForMCC to the specific mesh defined
+        meshForMCC => meshColl
+        doubleMesh = .TRUE.
 
-      !Gets the type of mesh
-      CALL config%get('geometry.meshType', meshFormat, found)
-      SELECT CASE(meshFormat)
-      CASE ("gmsh2")
-        CALL initGmsh2(mesh)
-        IF (doubleMesh) CALL initGmsh2(meshColl)
+      ELSE
+        CALL config%info('interactions', found)
+        IF (found) THEN
+          !Points the meshForMCC pointer to the Particles Mesh
+          meshForMCC => mesh
 
-      CASE ("0D")
-        CALL config%get('geometry.meshType', meshFormat, found)
-        CALL init0D(mesh)
-
-      CASE DEFAULT
-        CALL criticalError("Mesh format " // meshFormat // " not recogniced", "readGeometry")
-
-      END SELECT
-
-      !Reads the mesh file
-      CALL config%get('geometry.meshFile', meshFile, found)
-      pathMeshParticle = path // meshFile
-      CALL mesh%readMesh(pathMeshParticle)
-      DEALLOCATE(meshFile)
-      IF (doubleMesh) THEN
-        !Reads the mesh file for collisions
-        CALL config%get('interactions.meshCollisions', meshFile, found)
-        pathMeshColl = path // meshFile
-        CALL meshColl%readMesh(pathMeshColl)
+        END IF
+        doubleMesh = .FALSE.
 
       END IF
 
-      !Gets the volume for a 0D mesh
-      !TODO: Try to constrain this to the inout for 0D
-      IF (meshFormat == "0D") THEN
-        CALL config%get('geometry.volume', volume, found)
+      !Get the dimension of the geometry
+      CALL config%get(object // '.dimension', mesh%dimen, found)
+      IF (.NOT. found) THEN
+        CALL criticalError('Required parameter geometry.dimension not found', 'readGeometry')
+
+      END IF
+      IF (doubleMesh) THEN
+        meshColl%dimen = mesh%dimen
+
+      END IF
+        
+
+      SELECT CASE(mesh%dimen)
+      CASE (0)
+        CALL config%get(object // '.meshType', meshFormat, found)
+        CALL init0D(mesh)
+
+        !Read the 0D mesh
+        CALL mesh%readMesh(pathMeshParticle)
+
+        !Get the volumne
+        CALL config%get(object // '.volume', volume, found)
+        !Rescale the volumne
         IF (found) THEN
           mesh%vols(1)%obj%volume = mesh%vols(1)%obj%volume*volume / Vol_ref
           mesh%nodes(1)%obj%v     = mesh%vols(1)%obj%volume
 
         END IF
 
-      END IF
+      CASE (1:3)
+        !Select the type of geometry
+        CALL config%get(object // '.type', mesh%geometry, found)
+        IF (doubleMesh) THEN
+          meshColl%geometry = mesh%geometry
 
-      !Creates the connectivity between elements
-      SELECT CASE(mesh%geometry)
-      CASE("3DCart")
-        mesh%connectMesh => connectMesh3DCart
+        END IF
+        
+        !Check the consistency between geometry and dimension
+        SELECT CASE(mesh%dimen)
+        CASE(3)
+          IF (mesh%geometry /= 'Cart') THEN
+            CALL criticalError('No available geometry ' // mesh%geometry // ' in 3D', 'readGeometry') 
 
-      CASE("2DCyl")
-        mesh%connectMesh => connectMesh2DCyl
+          END IF
 
-      CASE("2DCart")
-        mesh%connectMesh => connectMesh2DCart
+        CASE(2)
+          IF (mesh%geometry /= 'Cart' .AND. &
+              mesh%geometry /= 'Cyl') THEN
+            CALL criticalError('No available geometry ' // mesh%geometry // ' in 2D', 'readGeometry') 
 
-      CASE("1DRad")
-        mesh%connectMesh => connectMesh1DRad
+          END IF
 
-      CASE("1DCart")
-        mesh%connectMesh => connectMesh1DCart
+        CASE(1)
+          IF (mesh%geometry /= 'Cart' .AND. &
+              mesh%geometry /= 'Rad') THEN
+            CALL criticalError('No available geometry ' // mesh%geometry // ' in 1D', 'readGeometry') 
 
-      CASE("0D")
-        mesh%connectMesh => NULL()
+          END IF
+
+        END SELECT
+
+        !Get the type of mesh
+        CALL config%get(object // '.meshType', meshFormat, found)
+        SELECT CASE(meshFormat)
+        CASE ("gmsh2")
+          CALL initGmsh2(mesh)
+          IF (doubleMesh) THEN
+            CALL initGmsh2(meshColl)
+
+          END IF
+
+        END SELECT
+
+        !Reads the mesh file
+        CALL config%get(object // '.meshFile', meshFile, found)
+        pathMeshParticle = path // meshFile
+        CALL mesh%readMesh(pathMeshParticle)
+        DEALLOCATE(meshFile)
+        IF (doubleMesh) THEN
+          !Reads the mesh file for collisions
+          CALL config%get(object // '.meshCollisions', meshFile, found)
+          pathMeshColl = path // meshFile
+          CALL meshColl%readMesh(pathMeshColl)
+
+        END IF
+
+      CASE DEFAULT
+        CALL criticalError("Mesh dimension not recogniced", "readGeometry")
 
       END SELECT
-      IF (ASSOCIATED(mesh%connectMesh)) CALL mesh%connectMesh
-
-      IF (doubleMesh) THEN
-        meshColl%connectMesh => mesh%connectMesh
-        CALL meshColl%connectMesh
-
-      END IF
 
       !Builds the K matrix for the Particles mesh
       CALL mesh%constructGlobalK()
@@ -898,16 +956,6 @@ MODULE moduleInput
 
       END IF
 
-      !Gest EM solver
-      CALL config%get('case.EMSolver', EMType, found)
-      CALL solver%initEM(EMType)
-      SELECT CASE(EMType)
-      CASE("Electrostatic")
-        !Reads BC
-        CALL readEMBoundary(config)
-
-      END SELECT
-
     END SUBROUTINE readGeometry
 
     SUBROUTINE readProbes(config)
@@ -1010,7 +1058,6 @@ MODULE moduleInput
 
       END DO
 
-      !TODO: Improve this
       IF (ALLOCATED(boundEM)) THEN
         DO e = 1, mesh%numEdges
           IF (ANY(mesh%edges(e)%obj%physicalSurface == boundEM(:)%physicalSurface)) THEN
@@ -1026,7 +1073,10 @@ MODULE moduleInput
 
       !Compute the PLU factorization of K once boundary conditions have been read
       CALL dgetrf(mesh%numNodes, mesh%numNodes, mesh%K, mesh%numNodes, mesh%IPIV, info)
-      IF (info /= 0) CALL criticalError('Factorization of K matrix failed', 'readEMBoundary')
+      IF (info /= 0) THEN
+        CALL criticalError('Factorization of K matrix failed', 'readEMBoundary')
+
+      END IF
 
     END SUBROUTINE readEMBoundary
 
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index 47d33ca..ba39d4d 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -60,53 +60,90 @@ MODULE moduleSolver
     !Init Pusher
     SUBROUTINE initPusher(self, pusherType, tau, tauSp)
       USE moduleErrors
+      USE moduleMesh, ONLY: mesh
       IMPLICIT NONE
 
       CLASS(pusherGeneric), INTENT(out):: self
       CHARACTER(:), ALLOCATABLE:: pusherType
       REAL(8):: tau, tauSp
 
-      SELECT CASE(pusherType)
-      !3D Cartesian
-      CASE('3DCartNeutral')
-        self%pushParticle => push3DCartNeutral
-
-      CASE('3DCartCharged')
-        self%pushParticle => push3DCartCharged
-
-      !2D Cylindrical
-      CASE('2DCylNeutral')
-        self%pushParticle => push2DCylNeutral
-
-      CASE('2DCylCharged')
-        self%pushParticle => push2DCylCharged
-
-      !2D Cartesian
-      CASE('2DCartNeutral')
-        self%pushParticle => push2DCartNeutral
-
-      CASE('2DCartCharged')
-        self%pushParticle => push2DCartCharged
-
-      !1D Cartesian
-      CASE('1DCartNeutral')
-        self%pushParticle => push1DCartNeutral
-
-      CASE('1DCartCharged')
-        self%pushParticle => push1DCartCharged
-
-      !1D Radial
-      CASE('1DRadNeutral')
-        self%pushParticle => push1DRadNeutral
-
-      CASE('1DRadCharged')
-        self%pushParticle => push1DRadCharged
-
-      CASE('0D')
+      !TODO: Reorganize if Cart pushers are combined
+      SELECT CASE(mesh%dimen)
+      CASE(0)
         self%pushParticle => push0D
 
-      CASE DEFAULT
-        CALL criticalError('Pusher ' // pusherType // ' not found','initPusher')
+      CASE(3)
+        SELECT CASE(pusherType)
+        CASE('Neutral')
+          self%pushParticle => push3DCartNeutral
+
+        CASE('Electrostatic')
+          self%pushParticle => push3DCartCharged
+
+        CASE DEFAULT
+          CALL criticalError('Pusher ' // pusherType // ' not found for 3D','initPusher')
+
+        END SELECT
+
+      CASE(2)
+        SELECT CASE(mesh%geometry)
+        CASE('Cyl')
+          SELECT CASE(pusherType)
+          CASE('Neutral')
+            self%pushParticle => push2DCylNeutral
+
+          CASE('Electrostatic')
+            self%pushParticle => push2DCylCharged
+
+          CASE DEFAULT
+            CALL criticalError('Pusher ' // pusherType // ' not found for 2D Cyl','initPusher')
+
+          END SELECT
+
+        CASE ('Cart')
+          SELECT CASE(pusherType)
+          CASE('Neutral')
+            self%pushParticle => push2DCartNeutral
+
+          CASE('Electrostatic')
+            self%pushParticle => push2DCartCharged
+
+          CASE DEFAULT
+            CALL criticalError('Pusher ' // pusherType // ' not found for 2D Cart','initPusher')
+
+          END SELECT
+
+        END SELECT
+
+      CASE(1)
+        SELECT CASE(mesh%geometry)
+        CASE('Rad')
+          SELECT CASE(pusherType)
+          CASE('Neutral')
+            self%pushParticle => push1DRadNeutral
+
+          CASE('Electrostatic')
+            self%pushParticle => push1DRadCharged
+
+          CASE DEFAULT
+            CALL criticalError('Pusher ' // pusherType // ' not found for 1D Rad','initPusher')
+
+          END SELECT
+
+        CASE('Cart')
+          SELECT CASE(pusherType)
+          CASE('Neutral')
+            self%pushParticle => push1DCartNeutral
+
+          CASE('Electrostatic')
+            self%pushParticle => push1DCartCharged
+
+          CASE DEFAULT
+            CALL criticalError('Pusher ' // pusherType // ' not found for 1D Cart','initPusher')
+
+          END SELECT
+
+        END SELECT
 
       END SELECT
 
@@ -172,7 +209,7 @@ MODULE moduleSolver
 
     END SUBROUTINE doPushes
 
-    !Push neutral particles in 3D cartesian coordinates
+    !Push neutral particles in cartesian coordinates
     PURE SUBROUTINE push3DCartNeutral(part, tauIn)
       USE moduleSPecies
       IMPLICIT NONE
@@ -195,8 +232,6 @@ MODULE moduleSolver
       part_temp%v(3) = part%v(3)
       part_temp%r(3) = part%r(3) + part_temp%v(3)*tauIn
 
-      part_temp%n_in = .FALSE.
-
       part = part_temp
 
     END SUBROUTINE push3DCartNeutral
@@ -228,8 +263,6 @@ MODULE moduleSolver
       part_temp%v(3) = part%v(3) + qmEFt(3)
       part_temp%r(3) = part%r(3) + part_temp%v(3)*tauIn
 
-      part_temp%n_in = .FALSE.
-
       part = part_temp
 
     END SUBROUTINE push3DCartCharged
@@ -265,7 +298,7 @@ MODULE moduleSolver
       END IF
       part_temp%v(2) =  cos_alpha*v_p_oh_star(2)+sin_alpha*v_p_oh_star(3)
       part_temp%v(3) = -sin_alpha*v_p_oh_star(2)+cos_alpha*v_p_oh_star(3)
-      part_temp%n_in = .FALSE. !Assume particle is outside until cell is found
+
       !Copy temporal particle to particle
       part=part_temp
 
@@ -306,7 +339,7 @@ MODULE moduleSolver
       END IF
       part_temp%v(2) =  cos_alpha*v_p_oh_star(2)+sin_alpha*v_p_oh_star(3)
       part_temp%v(3) = -sin_alpha*v_p_oh_star(2)+cos_alpha*v_p_oh_star(3)
-      part_temp%n_in = .FALSE. !Assume particle is outside until cell is found
+
       !Copy temporal particle to particle
       part=part_temp
 
@@ -331,8 +364,6 @@ MODULE moduleSolver
       part_temp%v(2) = part%v(2)
       part_temp%r(2) = part%r(2) + part_temp%v(2)*tauIn
 
-      part_temp%n_in = .FALSE.
-
       part = part_temp
 
     END SUBROUTINE push2DCartNeutral
@@ -360,8 +391,6 @@ MODULE moduleSolver
       part_temp%v(2) = part%v(2) + qmEFt(2)
       part_temp%r(2) = part%r(2) + part_temp%v(2)*tauIn
 
-      part_temp%n_in = .FALSE.
-
       part = part_temp
 
     END SUBROUTINE push2DCartCharged
@@ -382,8 +411,6 @@ MODULE moduleSolver
       part_temp%v(1) = part%v(1)
       part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
 
-      part_temp%n_in = .FALSE.
-
       part = part_temp
 
     END SUBROUTINE push1DCartNeutral
@@ -407,8 +434,6 @@ MODULE moduleSolver
       part_temp%v(1) = part%v(1) + qmEFt(1)
       part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
 
-      part_temp%n_in = .FALSE.
-
       part = part_temp
 
     END SUBROUTINE push1DCartCharged
@@ -442,7 +467,7 @@ MODULE moduleSolver
       END IF
       part_temp%v(1) =  cos_alpha*v_p_oh_star(1)+sin_alpha*v_p_oh_star(2)
       part_temp%v(2) = -sin_alpha*v_p_oh_star(1)+cos_alpha*v_p_oh_star(2)
-      part_temp%n_in = .FALSE. !Assume particle is outside until cell is found
+
       !Copy temporal particle to particle
       part=part_temp
 
@@ -480,7 +505,7 @@ MODULE moduleSolver
       END IF
       part_temp%v(1) =  cos_alpha*v_p_oh_star(1)+sin_alpha*v_p_oh_star(2)
       part_temp%v(2) = -sin_alpha*v_p_oh_star(1)+cos_alpha*v_p_oh_star(2)
-      part_temp%n_in = .FALSE. !Assume particle is outside until cell is found
+
       !Copy temporal particle to particle
       part=part_temp
 
@@ -800,6 +825,9 @@ MODULE moduleSolver
       TYPE(particle), INTENT(inout):: part
       CLASS(meshVol), POINTER:: volOld, volNew
 
+      !Assume that particle is outside the domain
+      part%n_in = .FALSE.
+
       volOld => mesh%vols(part%vol)%obj
       CALL volOld%findCell(part)
       CALL findCellColl(part)

From 771e336f872d5c8a2a08d6f8fb19bf77aa85caf3 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 8 Apr 2022 19:16:41 +0200
Subject: [PATCH 043/203] Cart pusher combined

Now, all Cart pushers push particles in 3D, regardless the geometry.
---
 .gitignore                   |   1 +
 src/modules/moduleSolver.f90 | 168 ++++++-----------------------------
 2 files changed, 26 insertions(+), 143 deletions(-)

diff --git a/.gitignore b/.gitignore
index f614574..b27c91c 100644
--- a/.gitignore
+++ b/.gitignore
@@ -4,4 +4,5 @@ obj/
 doc/user_manual/
 doc/coding_style/
 json-fortran-8.2.0/
+json-fortran/
 runs/
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index ba39d4d..69132d2 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -72,51 +72,39 @@ MODULE moduleSolver
       CASE(0)
         self%pushParticle => push0D
 
-      CASE(3)
-        SELECT CASE(pusherType)
-        CASE('Neutral')
-          self%pushParticle => push3DCartNeutral
-
-        CASE('Electrostatic')
-          self%pushParticle => push3DCartCharged
-
-        CASE DEFAULT
-          CALL criticalError('Pusher ' // pusherType // ' not found for 3D','initPusher')
-
-        END SELECT
-
-      CASE(2)
+      CASE(1:3)
         SELECT CASE(mesh%geometry)
-        CASE('Cyl')
-          SELECT CASE(pusherType)
-          CASE('Neutral')
-            self%pushParticle => push2DCylNeutral
-
-          CASE('Electrostatic')
-            self%pushParticle => push2DCylCharged
-
-          CASE DEFAULT
-            CALL criticalError('Pusher ' // pusherType // ' not found for 2D Cyl','initPusher')
-
-          END SELECT
-
         CASE ('Cart')
           SELECT CASE(pusherType)
           CASE('Neutral')
-            self%pushParticle => push2DCartNeutral
+            self%pushParticle => pushCartNeutral
 
           CASE('Electrostatic')
-            self%pushParticle => push2DCartCharged
+            self%pushParticle => pushCartCharged
 
           CASE DEFAULT
-            CALL criticalError('Pusher ' // pusherType // ' not found for 2D Cart','initPusher')
+            CALL criticalError('Pusher ' // pusherType // ' not found for Cart','initPusher')
 
           END SELECT
 
+        CASE('Cyl')
+          IF (self%dimen == 2) THEN
+            SELECT CASE(pusherType)
+            CASE('Neutral')
+              self%pushParticle => push2DCylNeutral
+
+            CASE('Electrostatic')
+              self%pushParticle => push2DCylCharged
+
+            CASE DEFAULT
+              CALL criticalError('Pusher ' // pusherType // ' not found for Cyl','initPusher')
+
+            END SELECT
+
+          END IF
+
         END SELECT
 
-      CASE(1)
-        SELECT CASE(mesh%geometry)
         CASE('Rad')
           SELECT CASE(pusherType)
           CASE('Neutral')
@@ -126,20 +114,7 @@ MODULE moduleSolver
             self%pushParticle => push1DRadCharged
 
           CASE DEFAULT
-            CALL criticalError('Pusher ' // pusherType // ' not found for 1D Rad','initPusher')
-
-          END SELECT
-
-        CASE('Cart')
-          SELECT CASE(pusherType)
-          CASE('Neutral')
-            self%pushParticle => push1DCartNeutral
-
-          CASE('Electrostatic')
-            self%pushParticle => push1DCartCharged
-
-          CASE DEFAULT
-            CALL criticalError('Pusher ' // pusherType // ' not found for 1D Cart','initPusher')
+            CALL criticalError('Pusher ' // pusherType // ' not found for Rad','initPusher')
 
           END SELECT
 
@@ -210,7 +185,7 @@ MODULE moduleSolver
     END SUBROUTINE doPushes
 
     !Push neutral particles in cartesian coordinates
-    PURE SUBROUTINE push3DCartNeutral(part, tauIn)
+    PURE SUBROUTINE pushCartNeutral(part, tauIn)
       USE moduleSPecies
       IMPLICIT NONE
 
@@ -234,10 +209,10 @@ MODULE moduleSolver
 
       part = part_temp
 
-    END SUBROUTINE push3DCartNeutral
+    END SUBROUTINE pushCartNeutral
 
     !Push charged particles in 3D cartesian coordinates
-    PURE SUBROUTINE push3DCartCharged(part, tauIn)
+    PURE SUBROUTINE pushCartCharged(part, tauIn)
       USE moduleSPecies
       USE moduleEM
       IMPLICIT NONE
@@ -265,7 +240,7 @@ MODULE moduleSolver
 
       part = part_temp
 
-    END SUBROUTINE push3DCartCharged
+    END SUBROUTINE pushCartCharged
 
     !Push one particle. Boris pusher for 2D Cyl Neutral particle
     PURE SUBROUTINE push2DCylNeutral(part, tauIn)
@@ -345,99 +320,6 @@ MODULE moduleSolver
 
     END SUBROUTINE push2DCylCharged
 
-    !Push neutral particles in 2D cartesian coordinates
-    PURE SUBROUTINE push2DCartNeutral(part, tauIn)
-      USE moduleSPecies
-      IMPLICIT NONE
-
-      TYPE(particle), INTENT(inout):: part
-      REAL(8), INTENT(in):: tauIn
-      TYPE(particle):: part_temp
-
-      part_temp = part
-
-      !x
-      part_temp%v(1) = part%v(1)
-      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
-
-      !y
-      part_temp%v(2) = part%v(2)
-      part_temp%r(2) = part%r(2) + part_temp%v(2)*tauIn
-
-      part = part_temp
-
-    END SUBROUTINE push2DCartNeutral
-
-    !Push charged particles in 2D cartesian coordinates
-    PURE SUBROUTINE push2DCartCharged(part, tauIn)
-      USE moduleSPecies
-      USE moduleEM
-      IMPLICIT NONE
-
-      TYPE(particle), INTENT(inout):: part
-      REAL(8), INTENT(in):: tauIn
-      TYPE(particle):: part_temp
-      REAL(8):: qmEFt(1:3)
-
-      part_temp = part
-      !Get the electric field at particle position
-      qmEFt = part_temp%qm*gatherElecField(part_temp)*tauIn
-
-      !x
-      part_temp%v(1) = part%v(1) + qmEFt(1)
-      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
-
-      !y
-      part_temp%v(2) = part%v(2) + qmEFt(2)
-      part_temp%r(2) = part%r(2) + part_temp%v(2)*tauIn
-
-      part = part_temp
-
-    END SUBROUTINE push2DCartCharged
-
-    !Push neutral particles in 1D cartesian coordinates
-    PURE SUBROUTINE push1DCartNeutral(part, tauIn)
-      USE moduleSPecies
-      USE moduleEM
-      IMPLICIT NONE
-
-      TYPE(particle), INTENT(inout):: part
-      REAL(8), INTENT(in):: tauIn
-      TYPE(particle):: part_temp
-
-      part_temp = part
-
-      !x
-      part_temp%v(1) = part%v(1)
-      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
-
-      part = part_temp
-
-    END SUBROUTINE push1DCartNeutral
-
-    !Push charged particles in 1D cartesian coordinates
-    PURE SUBROUTINE push1DCartCharged(part, tauIn)
-      USE moduleSPecies
-      USE moduleEM
-      IMPLICIT NONE
-
-      TYPE(particle), INTENT(inout):: part
-      REAL(8), INTENT(in):: tauIn
-      TYPE(particle):: part_temp
-      REAL(8):: qmEFt(1:3)
-
-      part_temp = part
-      !Get the electric field at particle position
-      qmEFt = part_temp%qm*gatherElecField(part_temp)*tauIn
-
-      !x
-      part_temp%v(1) = part%v(1) + qmEFt(1)
-      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
-
-      part = part_temp
-
-    END SUBROUTINE push1DCartCharged
-
     !Push one particle. Boris pusher for 1D Radial Neutral particle
     PURE SUBROUTINE push1DRadNeutral(part, tauIn)
       USE moduleSpecies

From 8006f9d7681fd10f0549dbdf14d49e870124c259 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 9 Apr 2022 08:57:06 +0200
Subject: [PATCH 044/203] First EM pusher

First implementation of Electromagnetic pusher.

Some testing is still required.

Documentation needs to be upgraded to match the changes in this branch.
---
 src/modules/mesh/0D/moduleMesh0D.f90          |  12 ++
 src/modules/mesh/1DCart/moduleMesh1DCart.f90  |  23 ++++
 src/modules/mesh/1DRad/moduleMesh1DRad.f90    |  23 ++++
 src/modules/mesh/2DCart/moduleMesh2DCart.f90  |  53 ++++++++
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    |  53 ++++++++
 src/modules/mesh/3DCart/moduleMesh3DCart.f90  |  28 ++++
 .../inout/gmsh2/moduleMeshOutputGmsh2.f90     |  15 +++
 src/modules/mesh/moduleMesh.f90               |   9 ++
 src/modules/moduleEM.f90                      |  17 +++
 src/modules/moduleInput.f90                   |  29 ++++-
 src/modules/moduleOutput.f90                  |   1 +
 src/modules/moduleRefParam.f90                |   2 +-
 src/modules/moduleSolver.f90                  | 123 ++++++++++--------
 13 files changed, 331 insertions(+), 57 deletions(-)

diff --git a/src/modules/mesh/0D/moduleMesh0D.f90 b/src/modules/mesh/0D/moduleMesh0D.f90
index 79939cd..93fd4bd 100644
--- a/src/modules/mesh/0D/moduleMesh0D.f90
+++ b/src/modules/mesh/0D/moduleMesh0D.f90
@@ -19,6 +19,7 @@ MODULE moduleMesh0D
       PROCEDURE, PASS:: randPos     => randPos0D
       PROCEDURE, NOPASS:: fPsi      => fPsi0D
       PROCEDURE, PASS:: gatherEF    => gatherEF0D
+      PROCEDURE, PASS:: gatherMF    => gatherMF0D
       PROCEDURE, PASS:: elemK       => elemK0D
       PROCEDURE, PASS:: elemF       => elemF0D
       PROCEDURE, PASS:: phy2log     => phy2log0D
@@ -123,6 +124,17 @@ MODULE moduleMesh0D
 
     END FUNCTION gatherEF0D
 
+    PURE FUNCTION gatherMF0D(self, xi) RESULT(MF)
+      IMPLICIT NONE
+
+      CLASS(meshVol0D), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: MF(1:3)
+
+      MF = 0.D0
+
+    END FUNCTION gatherMF0D
+
     PURE FUNCTION elemK0D(self) RESULT(localK)
       IMPLICIT NONE
 
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 24b7287..fe755fa 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -77,6 +77,7 @@ MODULE moduleMesh1DCart
       PROCEDURE, PASS::   elemF       => elemFSegm
       PROCEDURE, NOPASS:: inside      => insideSegm
       PROCEDURE, PASS::   gatherEF    => gatherEFSegm
+      PROCEDURE, PASS::   gatherMF    => gatherMFSegm
       PROCEDURE, PASS::   getNodes    => getNodesSegm
       PROCEDURE, PASS::   phy2log     => phy2logSegm
       PROCEDURE, PASS::   nextElement => nextElementSegm
@@ -388,6 +389,28 @@ MODULE moduleMesh1DCart
 
     END FUNCTION gatherEFSegm
 
+    PURE FUNCTION gatherMFSegm(self, xi) RESULT(MF)
+      IMPLICIT NONE
+
+      CLASS(meshVol1DCartSegm), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: fPsi(1:2)
+      REAL(8):: MF_Nodes(1:2, 1:3)
+      REAL(8):: MF(1:3)
+      REAL(8):: invJ
+
+      MF_Nodes(1:2,1) = (/ self%n1%emData%B(1), &
+                           self%n2%emData%B(1) /)
+      MF_Nodes(1:2,2) = (/ self%n1%emData%B(2), &
+                           self%n2%emData%B(2) /)
+      MF_Nodes(1:2,3) = (/ self%n1%emData%B(3), &
+                           self%n2%emData%B(3) /)
+
+      fPsi  = self%fPsi(xi)
+      MF = MATMUL(fPsi, MF_Nodes)
+
+    END FUNCTION gatherMFSegm
+
     !Get nodes from 1D volume
     PURE FUNCTION getNodesSegm(self) RESULT(n)
       IMPLICIT NONE
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 7567ab9..6fc3c66 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -78,6 +78,7 @@ MODULE moduleMesh1DRad
       PROCEDURE, PASS::   elemF       => elemFRad
       PROCEDURE, NOPASS:: inside      => insideRad
       PROCEDURE, PASS::   gatherEF    => gatherEFRad
+      PROCEDURE, PASS::   gatherMF    => gatherMFRad
       PROCEDURE, PASS::   getNodes    => getNodesRad
       PROCEDURE, PASS::   phy2log     => phy2logRad
       PROCEDURE, PASS::   nextElement => nextElementRad
@@ -400,6 +401,28 @@ MODULE moduleMesh1DRad
 
     END FUNCTION gatherEFRad
 
+    PURE FUNCTION gatherMFRad(self, xi) RESULT(MF)
+      IMPLICIT NONE
+
+      CLASS(meshVol1DRadSegm), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: fPsi(1:2)
+      REAL(8):: MF_Nodes(1:2, 1:3)
+      REAL(8):: MF(1:3)
+      REAL(8):: invJ
+
+      MF_Nodes(1:2,1) = (/ self%n1%emData%B(1), &
+                           self%n2%emData%B(1) /)
+      MF_Nodes(1:2,2) = (/ self%n1%emData%B(2), &
+                           self%n2%emData%B(2) /)
+      MF_Nodes(1:2,3) = (/ self%n1%emData%B(3), &
+                           self%n2%emData%B(3) /)
+
+      fPsi  = self%fPsi(xi)
+      MF = MATMUL(fPsi, MF_Nodes)
+
+    END FUNCTION gatherMFRad
+
     !Get nodes from 1D volume
     PURE FUNCTION getNodesRad(self) RESULT(n)
       IMPLICIT NONE
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index bc60a69..4b23ff1 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -85,6 +85,7 @@ MODULE moduleMesh2DCart
       PROCEDURE, PASS::   elemF       => elemFQuad
       PROCEDURE, NOPASS:: inside      => insideQuad
       PROCEDURE, PASS::   gatherEF    => gatherEFQuad
+      PROCEDURE, PASS::   gatherMF    => gatherMFQuad
       PROCEDURE, PASS::   getNodes    => getNodesQuad
       PROCEDURE, PASS::   phy2log     => phy2logQuad
       PROCEDURE, PASS::   nextElement => nextElementQuad
@@ -114,6 +115,7 @@ MODULE moduleMesh2DCart
       PROCEDURE, PASS::   elemF       => elemFTria
       PROCEDURE, NOPASS:: inside      => insideTria
       PROCEDURE, PASS::   gatherEF    => gatherEFTria
+      PROCEDURE, PASS::   gatherMF    => gatherMFTria
       PROCEDURE, PASS::   getNodes    => getNodesTria
       PROCEDURE, PASS::   phy2log     => phy2logTria
       PROCEDURE, PASS::   nextElement => nextElementTria
@@ -505,6 +507,33 @@ MODULE moduleMesh2DCart
 
     END FUNCTION gatherEFQuad
 
+    PURE FUNCTION gatherMFQuad(self,xi) RESULT(MF)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: fPsi(1:4)
+      REAL(8):: MF_Nodes(1:4,1:3)
+      REAL(8):: MF(1:3)
+
+      MF_Nodes(1:4,1) = (/self%n1%emData%B(1), &
+                          self%n2%emData%B(1), &
+                          self%n3%emData%B(1), &
+                          self%n4%emData%B(1) /)
+      MF_Nodes(1:4,2) = (/self%n1%emData%B(2), &
+                          self%n2%emData%B(2), &
+                          self%n3%emData%B(2), &
+                          self%n4%emData%B(2) /)
+      MF_Nodes(1:4,3) = (/self%n1%emData%B(3), &
+                          self%n2%emData%B(3), &
+                          self%n3%emData%B(3), &
+                          self%n4%emData%B(3) /)
+
+      fPsi  =  self%fPsi(xi)
+      MF = MATMUL(fPsi(:), MF_Nodes)
+
+    END FUNCTION gatherMFQuad
+
     !Gets nodes from quadrilateral element
     PURE FUNCTION getNodesQuad(self) RESULT(n)
       IMPLICIT NONE
@@ -816,6 +845,30 @@ MODULE moduleMesh2DCart
 
     END FUNCTION gatherEFTria
 
+    PURE FUNCTION gatherMFTria(self,xi) RESULT(MF)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCartTria), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: fPsi(1:3)
+      REAL(8):: MF_Nodes(1:3,1:3)
+      REAL(8):: MF(1:3)
+
+      MF_Nodes(1:3,1) = (/self%n1%emData%B(1), &
+                          self%n2%emData%B(1), &
+                          self%n3%emData%B(1) /)
+      MF_Nodes(1:3,2) = (/self%n1%emData%B(2), &
+                          self%n2%emData%B(2), &
+                          self%n3%emData%B(2) /)
+      MF_Nodes(1:3,3) = (/self%n1%emData%B(3), &
+                          self%n2%emData%B(3), &
+                          self%n3%emData%B(3) /)
+
+      fPsi  =  self%fPsi(xi)
+      MF = MATMUL(fPsi, MF_Nodes)
+
+    END FUNCTION gatherMFTria
+
     !Gets node indexes from triangular element
     PURE FUNCTION getNodesTria(self) RESULT(n)
       IMPLICIT NONE
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 62933d8..1e4e580 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -86,6 +86,7 @@ MODULE moduleMesh2DCyl
       PROCEDURE, PASS::   elemF       => elemFQuad
       PROCEDURE, NOPASS:: inside      => insideQuad
       PROCEDURE, PASS::   gatherEF    => gatherEFQuad
+      PROCEDURE, PASS::   gatherMF    => gatherMFQuad
       PROCEDURE, PASS::   getNodes    => getNodesQuad
       PROCEDURE, PASS::   phy2log     => phy2logQuad
       PROCEDURE, PASS::   nextElement => nextElementQuad
@@ -115,6 +116,7 @@ MODULE moduleMesh2DCyl
       PROCEDURE, PASS::   elemF       => elemFTria
       PROCEDURE, NOPASS:: inside      => insideTria
       PROCEDURE, PASS::   gatherEF    => gatherEFTria
+      PROCEDURE, PASS::   gatherMF    => gatherMFTria
       PROCEDURE, PASS::   getNodes    => getNodesTria
       PROCEDURE, PASS::   phy2log     => phy2logTria
       PROCEDURE, PASS::   nextElement => nextElementTria
@@ -526,6 +528,33 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION gatherEFQuad
 
+    PURE FUNCTION gatherMFQuad(self,xi) RESULT(MF)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCylQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: fPsi(1:4)
+      REAL(8):: MF_Nodes(1:4,1:3)
+      REAL(8):: MF(1:3)
+
+      MF_Nodes(1:4,1) = (/self%n1%emData%B(1), &
+                          self%n2%emData%B(1), &
+                          self%n3%emData%B(1), &
+                          self%n4%emData%B(1) /)
+      MF_Nodes(1:4,2) = (/self%n1%emData%B(2), &
+                          self%n2%emData%B(2), &
+                          self%n3%emData%B(2), &
+                          self%n4%emData%B(2) /)
+      MF_Nodes(1:4,3) = (/self%n1%emData%B(3), &
+                          self%n2%emData%B(3), &
+                          self%n3%emData%B(3), &
+                          self%n4%emData%B(3) /)
+
+      fPsi  =  self%fPsi(xi)
+      MF = MATMUL(fPsi(:), MF_Nodes)
+
+    END FUNCTION gatherMFQuad
+
     !Gets nodes from quadrilateral element
     PURE FUNCTION getNodesQuad(self) RESULT(n)
       IMPLICIT NONE
@@ -845,6 +874,30 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION gatherEFTria
 
+    PURE FUNCTION gatherMFTria(self,xi) RESULT(MF)
+      IMPLICIT NONE
+
+      CLASS(meshVol2DCylTria), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: fPsi(1:3)
+      REAL(8):: MF_Nodes(1:3,1:3)
+      REAL(8):: MF(1:3)
+
+      MF_Nodes(1:3,1) = (/self%n1%emData%B(1), &
+                          self%n2%emData%B(1), &
+                          self%n3%emData%B(1) /)
+      MF_Nodes(1:3,2) = (/self%n1%emData%B(2), &
+                          self%n2%emData%B(2), &
+                          self%n3%emData%B(2) /)
+      MF_Nodes(1:3,3) = (/self%n1%emData%B(3), &
+                          self%n2%emData%B(3), &
+                          self%n3%emData%B(3) /)
+
+      fPsi  =  self%fPsi(xi)
+      MF = MATMUL(fPsi, MF_Nodes)
+
+    END FUNCTION gatherMFTria
+
     !Gets node indexes from triangular element
     PURE FUNCTION getNodesTria(self) RESULT(n)
       IMPLICIT NONE
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 477373f..d6a6391 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -78,6 +78,7 @@ MODULE moduleMesh3DCart
       PROCEDURE, PASS::   elemF       => elemFTetra
       PROCEDURE, NOPASS:: inside      => insideTetra
       PROCEDURE, PASS::   gatherEF    => gatherEFTetra
+      PROCEDURE, PASS::   gatherMF    => gatherMFTetra
       PROCEDURE, PASS::   getNodes    => getNodesTetra
       PROCEDURE, PASS::   phy2log     => phy2logTetra
       PROCEDURE, PASS::   nextElement => nextElementTetra
@@ -498,6 +499,33 @@ MODULE moduleMesh3DCart
 
     END FUNCTION gatherEFTetra
 
+    PURE FUNCTION gatherMFTetra(self, xi) RESULT(MF)
+      IMPLICIT NONE
+
+      CLASS(meshVol3DCartTetra), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: fPsi(1:4)
+      REAL(8):: MF_Nodes(1:4,1:3)
+      REAL(8):: MF(1:3)
+
+      MF_Nodes(1:4,1) = (/self%n1%emData%B(1), &
+                          self%n2%emData%B(1), &
+                          self%n3%emData%B(1), &
+                          self%n4%emData%B(1) /)
+      MF_Nodes(1:4,2) = (/self%n1%emData%B(2), &
+                          self%n2%emData%B(2), &
+                          self%n3%emData%B(2), &
+                          self%n4%emData%B(2) /)
+      MF_Nodes(1:4,3) = (/self%n1%emData%B(3), &
+                          self%n2%emData%B(3), &
+                          self%n3%emData%B(3), &
+                          self%n4%emData%B(3) /)
+
+      fPsi  = self%fPsi(xi)
+      MF = MATMUL(fPsi, MF_Nodes)
+
+    END FUNCTION gatherMFTetra
+
     PURE FUNCTION getNodesTetra(self) RESULT(n)
       IMPLICIT NONE
 
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index 66fe345..e63a73c 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -200,6 +200,21 @@ MODULE moduleMeshOutputGmsh2
           WRITE(20, *) e+self%numEdges, self%vols(e)%obj%gatherEF(xi)*EF_ref
         END DO
         WRITE(20, "(A)") '$EndElementData'
+
+        WRITE(20, "(A)") '$NodeData'
+        WRITE(20, "(A)") '1'
+        WRITE(20, "(A)") '"Magnetic Field (T)"'
+        WRITE(20, *) 1
+        WRITE(20, *) time
+        WRITE(20, *) 3
+        WRITE(20, *) t
+        WRITE(20, *) 3
+        WRITE(20, *) self%numNodes
+        DO n=1, self%numNodes
+          WRITE(20, *) n, self%nodes(n)%obj%emData%B * B_ref
+        END DO
+        WRITE(20, "(A)") '$EndNodeData'
+
         CLOSE(20)
 
       END IF
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 19283b5..9547304 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -166,6 +166,7 @@ MODULE moduleMesh
       PROCEDURE(fPsi_interface),        DEFERRED, NOPASS:: fPsi
       PROCEDURE,                                  PASS::   scatter
       PROCEDURE(gatherEF_interface),    DEFERRED, PASS::   gatherEF
+      PROCEDURE(gatherMF_interface),    DEFERRED, PASS::   gatherMF
       PROCEDURE(elemK_interface),       DEFERRED, PASS::   elemK
       PROCEDURE(elemF_interface),       DEFERRED, PASS::   elemF
       PROCEDURE,                                  PASS::   findCell
@@ -194,6 +195,14 @@ MODULE moduleMesh
 
     END FUNCTION gatherEF_interface
 
+    PURE FUNCTION gatherMF_interface(self, xi) RESULT(MF)
+      IMPORT:: meshVol
+      CLASS(meshVol), INTENT(in):: self
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8):: MF(1:3)
+
+    END FUNCTION gatherMF_interface
+
     PURE FUNCTION getNodesVol_interface(self) RESULT(n)
       IMPORT:: meshVol
       CLASS(meshVol), INTENT(in):: self
diff --git a/src/modules/moduleEM.f90 b/src/modules/moduleEM.f90
index 876093e..ce91858 100644
--- a/src/modules/moduleEM.f90
+++ b/src/modules/moduleEM.f90
@@ -62,6 +62,23 @@ MODULE moduleEM
 
     END FUNCTION gatherElecField
 
+    PURE FUNCTION gatherMagnField(part) RESULT(BField)
+      USE moduleSpecies
+      USE moduleMesh
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(in):: part
+      REAl(8):: xi(1:3) !Logical coordinates of particle in element
+      REAL(8):: BField(1:3)
+
+      BField = 0.D0
+
+      xi  = part%xi
+
+      BField = mesh%vols(part%vol)%obj%gatherMF(xi)
+
+    END FUNCTION gatherMagnField
+
     SUBROUTINE assembleSourceVector(vectorF)
       USE moduleMesh
       USE moduleRefParam
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index d250954..31e2588 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -155,6 +155,7 @@ MODULE moduleInput
       Vol_ref   = L_ref**3                       !reference volume
       EF_ref    = qe*n_ref*L_ref/eps_0           !reference electric field
       Volt_ref  = EF_ref*L_ref                   !reference voltage
+      B_ref     = m_ref / (ti_ref * qe)          !reference magnetic field
 
     END SUBROUTINE readReference
 
@@ -177,8 +178,9 @@ MODULE moduleInput
       !simulation final and initial times in [t]
       REAL(8):: finalTime, initialTime
       CHARACTER(:), ALLOCATABLE:: pusherType, WSType, EMType
+      REAL(8):: B(1:3)
       INTEGER:: nTau, nSolver
-      INTEGER:: i
+      INTEGER:: i, n
       CHARACTER(2):: iString
       CHARACTER(1):: tString
 
@@ -267,6 +269,31 @@ MODULE moduleInput
           !Read BC
           CALL readEMBoundary(config)
 
+        CASE("ConstantB")
+          !Read BC
+          CALL readEMBoundary(config)
+          !Read constant magnetic field
+          DO i = 1, 3
+            WRITE(istring, '(i2)') i
+            CALL config%get(object // '.B(' // istring // ')', B(i), found)
+            IF (.NOT. found) THEN
+              CALL criticalError('Constant magnetic field not provided in direction ' // iString, 'readSolver')
+
+            END IF
+
+          END DO
+          
+          !Non-dimensional magnetic field
+          B = B / B_ref
+
+          !Assign it to the nodes
+          DO n =1, mesh%numNodes
+            mesh%nodes(n)%obj%emData%B(1) = B(1)
+            mesh%nodes(n)%obj%emData%B(2) = B(2)
+            mesh%nodes(n)%obj%emData%B(3) = B(3)
+
+          END DO
+
         CASE DEFAULT
           CALL criticalError('EM Solver ' // EMType // ' not found', 'readSolver')
 
diff --git a/src/modules/moduleOutput.f90 b/src/modules/moduleOutput.f90
index 4a3f4da..ecc5462 100644
--- a/src/modules/moduleOutput.f90
+++ b/src/modules/moduleOutput.f90
@@ -11,6 +11,7 @@ MODULE moduleOutput
   TYPE emNode
     CHARACTER(:), ALLOCATABLE:: type
     REAL(8):: phi
+    REAL(8):: B(1:3)
 
   END TYPE emNode
 
diff --git a/src/modules/moduleRefParam.f90 b/src/modules/moduleRefParam.f90
index 9d2b8d9..2dacc21 100644
--- a/src/modules/moduleRefParam.f90
+++ b/src/modules/moduleRefParam.f90
@@ -3,7 +3,7 @@ MODULE moduleRefParam
   !Parameters that define the problem (inputs)
   REAL(8):: n_ref, m_ref, T_ref, r_ref, debye_ref, sigma_ref
   !Reference parameters for non-dimensional problem
-  REAL(8):: L_ref, v_ref, ti_ref, Vol_ref, EF_ref, Volt_ref
+  REAL(8):: L_ref, v_ref, ti_ref, Vol_ref, EF_ref, Volt_ref, B_ref
 
 END MODULE moduleRefParam
 
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index 69132d2..6e23c6f 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -27,7 +27,7 @@ MODULE moduleSolver
 
   INTERFACE
     !Push a particle
-    PURE SUBROUTINE push_interafece(part, tauIn)
+    SUBROUTINE push_interafece(part, tauIn)
       USE moduleSpecies
 
       TYPE(particle), INTENT(inout):: part
@@ -80,7 +80,10 @@ MODULE moduleSolver
             self%pushParticle => pushCartNeutral
 
           CASE('Electrostatic')
-            self%pushParticle => pushCartCharged
+            self%pushParticle => pushCartElectrostatic
+
+          CASE('Electromagnetic')
+            self%pushParticle => pushCartElectromagnetic
 
           CASE DEFAULT
             CALL criticalError('Pusher ' // pusherType // ' not found for Cart','initPusher')
@@ -88,22 +91,17 @@ MODULE moduleSolver
           END SELECT
 
         CASE('Cyl')
-          IF (self%dimen == 2) THEN
-            SELECT CASE(pusherType)
-            CASE('Neutral')
-              self%pushParticle => push2DCylNeutral
+          SELECT CASE(pusherType)
+          CASE('Neutral')
+            self%pushParticle => push2DCylNeutral
 
-            CASE('Electrostatic')
-              self%pushParticle => push2DCylCharged
+          CASE('Electrostatic')
+            self%pushParticle => push2DCylElectrostatic
 
-            CASE DEFAULT
-              CALL criticalError('Pusher ' // pusherType // ' not found for Cyl','initPusher')
+          CASE DEFAULT
+            CALL criticalError('Pusher ' // pusherType // ' not found for Cyl','initPusher')
 
-            END SELECT
-
-          END IF
-
-        END SELECT
+          END SELECT
 
         CASE('Rad')
           SELECT CASE(pusherType)
@@ -111,7 +109,7 @@ MODULE moduleSolver
             self%pushParticle => push1DRadNeutral
 
           CASE('Electrostatic')
-            self%pushParticle => push1DRadCharged
+            self%pushParticle => push1DRadElectrostatic
 
           CASE DEFAULT
             CALL criticalError('Pusher ' // pusherType // ' not found for Rad','initPusher')
@@ -134,7 +132,7 @@ MODULE moduleSolver
       CHARACTER(:), ALLOCATABLE:: EMType
 
       SELECT CASE(EMType)
-      CASE('Electrostatic')
+      CASE('Electrostatic','ConstantB')
         self%solveEM => solveElecField
 
       END SELECT
@@ -191,56 +189,71 @@ MODULE moduleSolver
 
       TYPE(particle), INTENT(inout):: part
       REAL(8), INTENT(in):: tauIn
-      TYPE(particle):: part_temp
 
-      part_temp = part
-
-      !x
-      part_temp%v(1) = part%v(1)
-      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
-
-      !y
-      part_temp%v(2) = part%v(2)
-      part_temp%r(2) = part%r(2) + part_temp%v(2)*tauIn
-
-      !z
-      part_temp%v(3) = part%v(3)
-      part_temp%r(3) = part%r(3) + part_temp%v(3)*tauIn
-
-      part = part_temp
+      part%r = part%r + part%v*tauIn
 
     END SUBROUTINE pushCartNeutral
 
-    !Push charged particles in 3D cartesian coordinates
-    PURE SUBROUTINE pushCartCharged(part, tauIn)
+    PURE SUBROUTINE pushCartElectrostatic(part, tauIn)
       USE moduleSPecies
       USE moduleEM
       IMPLICIT NONE
 
       TYPE(particle), INTENT(inout):: part
       REAL(8), INTENT(in):: tauIn
-      TYPE(particle):: part_temp
       REAL(8):: qmEFt(1:3)
 
-      part_temp = part
       !Get the electric field at particle position
-      qmEFt = part_temp%qm*gatherElecField(part_temp)*tauIn
+      qmEFt = part%qm*gatherElecField(part)*tauIn
 
-      !x
-      part_temp%v(1) = part%v(1) + qmEFt(1)
-      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
+      !Update velocity
+      part%v = part%v + qmEFt
 
-      !y
-      part_temp%v(2) = part%v(2) + qmEFt(2)
-      part_temp%r(2) = part%r(2) + part_temp%v(2)*tauIn
+      !Update position
+      part%r = part%r + part%v*tauIn
 
-      !z
-      part_temp%v(3) = part%v(3) + qmEFt(3)
-      part_temp%r(3) = part%r(3) + part_temp%v(3)*tauIn
+    END SUBROUTINE pushCartElectrostatic
 
-      part = part_temp
+    SUBROUTINE pushCartElectromagnetic(part, tauIn)
+      USE moduleSPecies
+      USE moduleEM
+      USE moduleMath
+      IMPLICIT NONE
 
-    END SUBROUTINE pushCartCharged
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+      REAL(8):: tauInHalf
+      REAL(8):: qmEFt(1:3)
+      REAL(8):: B(1:3), BNorm
+      REAL(8):: fn
+      REAL(8):: v_minus(1:3), v_prime(1:3), v_plus(1:3)
+
+      tauInHalf = tauIn *0.5D0
+      !Half of the force o f the electric field
+      qmEFt = part%qm*gatherElecField(part)*tauInHalf
+
+      !Half step for electrostatic
+      v_minus = part%v + qmEFt
+
+      !Full step rotation
+      B = gatherMagnField(part)
+      BNorm = NORM2(B)
+      IF (BNorm > 0.D0) THEN
+        fn = DTAN(part%qm * tauInHalf*BNorm) / Bnorm
+        v_prime = v_minus + fn * crossProduct(v_minus, B)
+        v_plus  = v_minus + 2.D0 * fn / (1.D0 + fn**2 * B**2)*crossProduct(v_prime, B)
+
+        PRINT *, v_minus, v_plus
+
+      END IF
+
+      !Half step for electrostatic
+      part%v = v_plus + qmEFt
+
+      !Update position
+      part%r = part%r + part%v*tauIn
+
+    END SUBROUTINE pushCartElectromagnetic
 
     !Push one particle. Boris pusher for 2D Cyl Neutral particle
     PURE SUBROUTINE push2DCylNeutral(part, tauIn)
@@ -279,8 +292,8 @@ MODULE moduleSolver
 
     END SUBROUTINE push2DCylNeutral
 
-    !Push one particle. Boris pusher for 2D Cyl Charged particle
-    PURE SUBROUTINE push2DCylCharged(part, tauIn)
+    !Push one particle. Boris pusher for 2D Cyl Electrostatic particle
+    PURE SUBROUTINE push2DCylElectrostatic(part, tauIn)
       USE moduleSpecies
       USE moduleEM
       IMPLICIT NONE
@@ -318,7 +331,7 @@ MODULE moduleSolver
       !Copy temporal particle to particle
       part=part_temp
 
-    END SUBROUTINE push2DCylCharged
+    END SUBROUTINE push2DCylElectrostatic
 
     !Push one particle. Boris pusher for 1D Radial Neutral particle
     PURE SUBROUTINE push1DRadNeutral(part, tauIn)
@@ -355,8 +368,8 @@ MODULE moduleSolver
 
     END SUBROUTINE push1DRadNeutral
 
-    !Push one particle. Boris pusher for 1D Radial Charged particle
-    PURE SUBROUTINE push1DRadCharged(part, tauIn)
+    !Push one particle. Boris pusher for 1D Radial Electrostatic particle
+    PURE SUBROUTINE push1DRadElectrostatic(part, tauIn)
       USE moduleSpecies
       USE moduleEM
       IMPLICIT NONE
@@ -391,7 +404,7 @@ MODULE moduleSolver
       !Copy temporal particle to particle
       part=part_temp
 
-    END SUBROUTINE push1DRadCharged
+    END SUBROUTINE push1DRadElectrostatic
 
     !Dummy pusher for 0D geometry
     PURE SUBROUTINE push0D(part, tauIn)

From 97718209cc923576663644c2b2870a7b9636ecf7 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 9 Apr 2022 09:00:40 +0200
Subject: [PATCH 045/203] Setting pushers as PURE

Pushers were not set to PURE after testing.
---
 src/modules/moduleSolver.f90 | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index 6e23c6f..4142549 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -27,7 +27,7 @@ MODULE moduleSolver
 
   INTERFACE
     !Push a particle
-    SUBROUTINE push_interafece(part, tauIn)
+    PURE SUBROUTINE push_interafece(part, tauIn)
       USE moduleSpecies
 
       TYPE(particle), INTENT(inout):: part
@@ -214,7 +214,7 @@ MODULE moduleSolver
 
     END SUBROUTINE pushCartElectrostatic
 
-    SUBROUTINE pushCartElectromagnetic(part, tauIn)
+    PURE SUBROUTINE pushCartElectromagnetic(part, tauIn)
       USE moduleSPecies
       USE moduleEM
       USE moduleMath

From 78a97ed7a0d5f238f014095c1ff45f9e7cbf8074 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sat, 23 Apr 2022 18:57:27 +0200
Subject: [PATCH 046/203] Improve to collisions

Improvement into the collision model to better compute number of
particles collisions.
---
 src/modules/mesh/0D/moduleMesh0D.f90         |   2 +-
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 |   2 +-
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   |   2 +-
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 |   4 +-
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   |   4 +-
 src/modules/mesh/3DCart/moduleMesh3DCart.f90 |   2 +-
 src/modules/mesh/moduleMesh.f90              |  74 ++++-
 src/modules/moduleCollisions.f90             | 324 ++++++++-----------
 src/modules/moduleInput.f90                  |  18 +-
 src/modules/moduleMath.f90                   |  10 +
 src/modules/moduleRefParam.f90               |   2 +-
 src/modules/moduleSolver.f90                 |   2 -
 12 files changed, 227 insertions(+), 219 deletions(-)

diff --git a/src/modules/mesh/0D/moduleMesh0D.f90 b/src/modules/mesh/0D/moduleMesh0D.f90
index 93fd4bd..40ce55e 100644
--- a/src/modules/mesh/0D/moduleMesh0D.f90
+++ b/src/modules/mesh/0D/moduleMesh0D.f90
@@ -76,7 +76,7 @@ MODULE moduleMesh0D
       self%volume = 1.D0
       self%n1%v = 1.D0
 
-      self%sigmaVrelMax = sigma_ref/L_ref**2
+      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
 
       CALL OMP_INIT_LOCK(self%lock)
 
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index fe755fa..f3f8131 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -216,7 +216,7 @@ MODULE moduleMesh1DCart
       self%n1%v = self%n1%v + self%arNodes(1)
       self%n2%v = self%n2%v + self%arNodes(2)
 
-      self%sigmaVrelMax = sigma_ref/L_ref**2
+      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
 
       CALL OMP_INIT_LOCK(self%lock)
 
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 6fc3c66..c03e91d 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -218,7 +218,7 @@ MODULE moduleMesh1DRad
       self%n1%v = self%n1%v + self%arNodes(1)
       self%n2%v = self%n2%v + self%arNodes(2)
 
-      self%sigmaVrelMax = sigma_ref/L_ref**2
+      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
 
       CALL OMP_INIT_LOCK(self%lock)
 
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 4b23ff1..5c8a937 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -307,7 +307,7 @@ MODULE moduleMesh2DCart
       self%n3%v = self%n3%v + self%arNodes(3)
       self%n4%v = self%n4%v + self%arNodes(4)
 
-      self%sigmaVrelMax = sigma_ref/L_ref**2
+      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
 
       CALL OMP_INIT_LOCK(self%lock)
 
@@ -634,7 +634,7 @@ MODULE moduleMesh2DCart
       self%n2%v = self%n2%v + self%arNodes(2)
       self%n3%v = self%n3%v + self%arNodes(3)
 
-      self%sigmaVrelMax = sigma_ref/L_ref**2
+      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
 
       CALL OMP_INIT_LOCK(self%lock)
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 1e4e580..d4192f1 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -295,7 +295,7 @@ MODULE moduleMesh2DCyl
       self%n3%v = self%n3%v + self%arNodes(3)
       self%n4%v = self%n4%v + self%arNodes(4)
 
-      self%sigmaVrelMax = sigma_ref/L_ref**2
+      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
 
       CALL OMP_INIT_LOCK(self%lock)
 
@@ -655,7 +655,7 @@ MODULE moduleMesh2DCyl
       self%n2%v = self%n2%v + self%arNodes(2)
       self%n3%v = self%n3%v + self%arNodes(3)
 
-      self%sigmaVrelMax = sigma_ref/L_ref**2
+      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
 
       CALL OMP_INIT_LOCK(self%lock)
 
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index d6a6391..24454d2 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -281,7 +281,7 @@ MODULE moduleMesh3DCart
       self%n3%v = self%n3%v + volNodes(3)
       self%n4%v = self%n4%v + volNodes(4)
 
-      self%sigmaVrelMax = sigma_ref/L_ref**2
+      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
 
       CALL OMP_INIT_LOCK(self%lock)
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 9547304..8cc2497 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -662,17 +662,24 @@ MODULE moduleMesh
       CLASS(meshVol), POINTER:: vol
       INTEGER:: nPart !Number of particles inside the cell
       REAL(8):: pMax !Maximum probability of collision
-      INTEGER:: rnd !random index
+      TYPE(pointerArray), ALLOCATABLE:: partTemp(:)
+      INTEGER:: i, j !random particle indexes
       TYPE(particle), POINTER:: part_i, part_j
       INTEGER:: n !collision
       INTEGER:: ij, k
-      REAL(8):: sigmaVrelMaxNew
-      TYPE(pointerArray), ALLOCATABLE:: partTemp(:)
+      REAL(8):: vRel, eRel
+      REAL(8):: sigmaVrelTotal
+      REAL(8), ALLOCATABLE:: sigmaVrel(:), probabilityColl(:)
+      REAL(8):: rnd !Random number for collision
+      INTEGER:: realCollisions
 
       IF (MOD(t, everyColl) == 0) THEN
         !Collisions need to be performed in this iteration
         !$OMP DO SCHEDULE(DYNAMIC)
         DO e=1, self%numVols
+
+          realCollisions = 0
+
           vol => self%vols(e)%obj
           nPart = vol%listPart_in%amount
 
@@ -694,21 +701,54 @@ MODULE moduleMesh
             END IF
 
             DO n = 1, vol%nColl
-              !Select random numbers
-              rnd = random(1, nPart)
-              part_i => partTemp(rnd)%part
-              rnd = random(1, nPart)
-              part_j => partTemp(rnd)%part
-              ij = interactionIndex(part_i%species%n, part_j%species%n)
-              sigmaVrelMaxNew = 0.D0
-              DO k = 1, interactionMatrix(ij)%amount
-                CALL interactionMatrix(ij)%collisions(k)%obj%collide(vol%sigmaVrelMax, sigmaVrelMaxNew, part_i, part_j)
-
+              !Select random different particles
+              i = 0
+              j = 0
+              DO WHILE (i == j)
+                i = random(1, nPart)
+                j = random(1, nPart)
               END DO
+              part_i => partTemp(i)%part
+              part_j => partTemp(j)%part
+              !TODO: I think that from here forward it can be passed to a procedure in interactionMatrix
+              ij = interactionIndex(part_i%species%n, part_j%species%n)
 
-              !Update maximum cross section*v_rel per each collision
-              IF (sigmaVrelMaxNew > vol%sigmaVrelMax) THEN
-                vol%sigmaVrelMax = sigmaVrelMaxNew
+              IF (interactionMatrix(ij)%amount > 0) THEN
+                !Obtain the cross sections for the different processes
+                vRel = NORM2(part_i%v-part_j%v)
+                eRel = interactionMatrix(ij)%rMass*vRel**2
+                CALL interactionMatrix(ij)%getSigmaVrel(vRel, eRel, sigmaVrelTotal, sigmaVrel)
+
+                !Update maximum sigma*v_rel
+                IF (sigmaVrelTotal > vol%sigmaVrelMax) THEN
+                  vol%sigmaVrelMax = sigmaVrelTotal
+
+                END IF
+
+                ALLOCATE(probabilityColl(0:interactionMatrix(ij)%amount))
+                probabilityColl(0) = 0.0
+                probabilityColl(1:interactionMatrix(ij)%amount) = sigmaVrel/vol%sigmaVrelMax
+
+                !Selects random number between 0 and 1
+                rnd = random()
+
+                !If the random number is below the total probability of collision, do collisions
+                IF (rnd < sigmaVrelTotal / vol%sigmaVrelMax) THEN
+
+                  !Loop over collisions
+                  DO k = 1, interactionMatrix(ij)%amount
+                    IF (SUM(probabilityColl(0:k-1)) + rnd <= probabilityColl(k)) THEN
+                      CALL interactionMatrix(ij)%collisions(k)%obj%collide(part_i, part_j, vRel)
+                      realCollisions = realCollisions + 1
+
+                    END IF
+
+                  END DO
+
+                END IF
+                
+                !Deallocate arrays for next collision
+                DEALLOCATE(sigmaVrel, probabilityColl)
 
               END IF
 
@@ -716,6 +756,8 @@ MODULE moduleMesh
 
           END IF
 
+          vol%nColl = realCollisions
+
         END DO
         !$OMP END DO
 
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index 2f22204..b651236 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -7,8 +7,6 @@ MODULE moduleCollisions
 
   !Abstract type for collision between two particles
   TYPE, ABSTRACT:: collisionBinary
-    REAL(8):: rMass !Reduced mass
-    REAL(8):: sMassInv !Summed mass
     TYPE(table1D):: crossSec !cross section of collision
     CONTAINS
       PROCEDURE(collideBinary_interface), PASS, DEFERRED:: collide
@@ -16,14 +14,13 @@ MODULE moduleCollisions
   END TYPE collisionBinary
 
   ABSTRACT INTERFACE
-    SUBROUTINE collideBinary_interface(self, sigmaVRelMax, sigmaVrelMaxNew, part_i, part_j)
+    SUBROUTINE collideBinary_interface(self, part_i, part_j, vRel)
       USE moduleSpecies
       IMPORT:: collisionBinary
 
       CLASS(collisionBinary), INTENT(in):: self
-      REAL(8), INTENT(in):: sigmaVrelMax
-      REAL(8), INTENT(inout):: sigmaVrelMaxNew
       TYPE(particle), INTENT(inout), TARGET:: part_i, part_j
+      REAL(8), INTENT(in):: vRel
 
     END SUBROUTINE
 
@@ -71,9 +68,11 @@ MODULE moduleCollisions
   !Type for interaction matrix
   TYPE:: interactionsBinary
     INTEGER:: amount
+    REAL(8):: rMass !Reduced mass
     TYPE(collisionCont), ALLOCATABLE:: collisions(:)
     CONTAINS
       PROCEDURE, PASS:: init => initInteractionBinary
+      PROCEDURE, PASS:: getSigmaVrel => getSigmaVrelBinary
 
   END TYPE interactionsBinary
 
@@ -85,13 +84,14 @@ MODULE moduleCollisions
   CONTAINS
     !Velocity of center of mass of two particles
     PURE FUNCTION velocityCM(m_i, v_i, m_j, v_j) RESULT(vCM)
+
       IMPLICIT NONE
 
       REAL(8), INTENT(in):: m_i, m_j
       REAL(8), INTENT(in), DIMENSION(1:3):: v_i, v_j
       REAL(8):: vCM(1:3)
 
-      vCM = (m_i*v_i + m_j*v_j)/(m_i + m_j)
+      vCM = (m_i*v_i + m_j*v_j) / (m_i + m_j)
 
     END FUNCTION velocityCM
 
@@ -123,6 +123,9 @@ MODULE moduleCollisions
       nInteractions = (nSpecies*(nSpecies+1))/2
       ALLOCATE(interactionMatrix(1:nInteractions))
 
+      interactionMatrix(:)%amount = 0
+      interactionMatrix(:)%rMass = 0.D0
+
     END SUBROUTINE initInteractionMatrix
 
     !Gets the interaction index from the collision matrix from index i,j
@@ -139,21 +142,46 @@ MODULE moduleCollisions
     END FUNCTION interactionIndex
 
     !Inits the binary interaction
-    SUBROUTINE initInteractionBinary(self, amount)
+    SUBROUTINE initInteractionBinary(self, amount, mass_i, mass_j)
+      USE moduleMath
       IMPLICIT NONE
 
       CLASS(interactionsBinary), INTENT(inout):: self
       INTEGER, INTENT(in):: amount
+      REAL(8), INTENT(in):: mass_i, mass_j
 
       self%amount = amount
 
+      self%rMass = reducedMass(mass_i, mass_j)
+
       ALLOCATE(self%collisions(1:self%amount))
 
     END SUBROUTINE initInteractionBinary
 
+    SUBROUTINE getSigmaVrelBinary (self, vRel, eRel, sigmaVrelTotal, sigmaVrel)
+      IMPLICIT NONE
+
+      CLASS(interactionsBinary), INTENT(in):: self
+      REAL(8), INTENT(in):: vRel, eRel
+      REAL(8), INTENT(out):: sigmaVrelTotal
+      REAL(8), INTENT(out), ALLOCATABLE:: sigmaVrel(:)
+      INTEGER:: k
+
+      sigmaVrelTotal = 0.D0
+
+      ALLOCATE(sigmaVrel(1:self%amount))
+
+      DO k = 1, self%amount
+        sigmaVrel(k) = self%collisions(k)%obj%crossSec%get(eRel)*vRel
+
+      END DO
+      sigmaVrelTotal = SUM(sigmaVrel)
+
+    END SUBROUTINE getSigmaVrelBinary
+
     !ELASTIC COLLISIONS
     !Inits binary elastic collision
-    SUBROUTINE initBinaryElastic(collision, crossSectionFilename, mass_i, mass_j)
+    SUBROUTINE initBinaryElastic(collision, crossSectionFilename)
       USE moduleTable
       USE moduleRefParam
       USE moduleConstParam
@@ -161,7 +189,6 @@ MODULE moduleCollisions
 
       CLASS(collisionBinary), INTENT(out), ALLOCATABLE:: collision
       CHARACTER(:), ALLOCATABLE, INTENT(in):: crossSectionFilename
-      REAL(8), INTENT(in):: mass_i, mass_j
 
       ALLOCATE(collisionBinaryElastic:: collision)
 
@@ -171,15 +198,10 @@ MODULE moduleCollisions
       !Convert to no-dimensional units
       CALL collision%crossSec%convert(eV2J/(m_ref*v_ref**2), 1.D0/L_ref**2)
 
-      !Calculates reduced mass
-      collision%sMassInv =  1.D0/(mass_i+mass_j)
-      collision%rMass    = (mass_i*mass_j)*collision%sMassInv
-
     END SUBROUTINE initBinaryElastic
 
     !Binary elastic process
-    SUBROUTINE collideBinaryElastic(self, sigmaVrelMax, sigmaVrelMaxNew, &
-                                    part_i, part_j)
+    SUBROUTINE collideBinaryElastic(self, part_i, part_j, vRel)
       USE moduleSpecies
       USE moduleConstParam
       USE moduleRandom
@@ -187,38 +209,27 @@ MODULE moduleCollisions
       IMPLICIT NONE
 
       CLASS(collisionBinaryElastic), INTENT(in):: self
-      REAL(8), INTENT(in):: sigmaVrelMax
-      REAL(8), INTENT(inout):: sigmaVrelMaxNew
       TYPE(particle), INTENT(inout), TARGET:: part_i, part_j
-      REAL(8):: sigmaVrel
-      REAL(8):: vRel !relative velocity
-      REAL(8):: eRel !relative energy
+      REAL(8), INTENT(in):: vRel
       REAL(8):: m_i, m_j
       REAL(8), DIMENSION(1:3):: vCM
       REAL(8):: vp(1:3)
 
-      vRel = NORM2(part_i%v-part_j%v)
-      eRel = self%rMass*vRel**2
-      sigmaVrel = self%crossSec%get(eRel)*vRel
-      sigmaVrelMaxNew = sigmaVrelMaxNew + sigmaVrel
-      IF (sigmaVrelMaxNew/sigmaVrelMax > random()) THEN
-        m_i = part_i%species%m
-        m_j = part_j%species%m
-        !Applies the collision
-        vCM = velocityCM(m_i, part_i%v, m_j, part_j%v)
-        vp  = vRel*randomDirectionVHS()
+      m_i = part_i%species%m
+      m_j = part_j%species%m
+      !Applies the collision
+      vCM = velocityCM(m_i, part_i%v, m_j, part_j%v)
+      vp  = vRel*randomDirectionVHS()
 
-        !Assign velocities to particles
-        part_i%v = vCM + m_j*vp*self%sMassInv
-        part_j%v = vCM - m_i*vp*self%sMassInv
-
-      END IF
+      !Assign velocities to particles
+      part_i%v = vCM + m_j*vp / (m_i + m_j)
+      part_j%v = vCM - m_i*vp / (m_i + m_j)
 
     END SUBROUTINE collideBinaryElastic
 
     !ELECTRON IMPACT IONIZATION
     !Inits electron impact ionization
-    SUBROUTINE initBinaryIonization(collision, crossSectionFilename, energyThreshold, mass_i, mass_j, electron)
+    SUBROUTINE initBinaryIonization(collision, crossSectionFilename, energyThreshold, electron)
       USE moduleTable
       USE moduleRefParam
       USE moduleConstParam
@@ -229,7 +240,6 @@ MODULE moduleCollisions
       CLASS(collisionBinary), INTENT(out), ALLOCATABLE:: collision
       CHARACTER(:), ALLOCATABLE, INTENT(in):: crossSectionFilename
       REAL(8), INTENT(in):: energyThreshold
-      REAL(8), INTENT(in):: mass_i, mass_j
       CHARACTER(:), ALLOCATABLE, INTENT(in):: electron
       INTEGER:: electronIndex
 
@@ -241,10 +251,6 @@ MODULE moduleCollisions
       !Convert to no-dimensional units
       CALL collision%crossSec%convert(eV2J/(m_ref*v_ref**2), 1.D0/L_ref**2)
 
-      !Calculates reduced mass
-      collision%sMassInv =  1.D0/(mass_i+mass_j)
-      collision%rMass    = (mass_i*mass_j)*collision%sMassInv
-
       !Specific parameters for ionization collision
       SELECT TYPE(collision)
       TYPE IS(collisionBinaryIonization)
@@ -267,8 +273,7 @@ MODULE moduleCollisions
     END SUBROUTINE initBinaryIonization
 
     !Binary electron impact ionization process
-    SUBROUTINE collideBinaryIonization(self, sigmaVrelMax, sigmaVrelMaxNew, &
-                                    part_i, part_j)
+    SUBROUTINE collideBinaryIonization(self, part_i, part_j, vRel)
       USE moduleSpecies
       USE moduleErrors
       USE moduleList
@@ -278,80 +283,71 @@ MODULE moduleCollisions
       IMPLICIT NONE
 
       CLASS(collisionBinaryIonization), INTENT(in):: self
-      REAL(8), INTENT(in):: sigmaVrelMax
-      REAL(8), INTENT(inout):: sigmaVrelMaxNew
       TYPE(particle), INTENT(inout), TARGET:: part_i, part_j
+      REAL(8), INTENT(in):: vRel
+      REAL(8):: rMass, eRel
       TYPE(particle), POINTER:: electron => NULL(), neutral => NULL()
       TYPE(particle), POINTER:: newElectron
-      REAL(8):: vRel, eRel
-      REAL(8):: sigmaVrel
       REAL(8), DIMENSION(1:3):: vp_e, vp_n
 
-      !eRel (in units of [m][L]^2[t]^-2
-      vRel = NORM2(part_i%v-part_j%v)
-      eRel = self%rMass*vRel**2
+      rMass = reducedMass(part_i%species%m, part_j%species%m)
+      eRel = rMass*vRel**2
       !Relative energy must be higher than threshold
       IF (eRel > self%eThreshold) THEN
-        sigmaVrel = self%crossSec%get(eRel)*vRel
-        sigmaVrelMaxNew = sigmaVrelMaxNew + sigmaVrel
-        IF (sigmaVrelMaxNew/sigmaVrelMax > random()) THEN
-          !Find which particle is the ionizing electron
-          IF    (ASSOCIATED(part_i%species, self%electron)) THEN
-            electron => part_i
-            neutral  => part_j
+        IF    (ASSOCIATED(part_i%species, self%electron)) THEN
+          electron => part_i
+          neutral  => part_j
 
-          ELSEIF(ASSOCIATED(part_j%species, self%electron)) THEN
-            electron => part_j
-            neutral  => part_i
+        ELSEIF(ASSOCIATED(part_j%species, self%electron)) THEN
+          electron => part_j
+          neutral  => part_i
 
-          ELSE
-            CALL criticalError("No matching between input particles and ionizing species", 'collideBinaryIonization')
-
-          END IF
-
-          !Exchange energy between 
-          vp_e = electron%v*(1.D0 - self%deltaV/NORM2(electron%v))
-          vp_n = neutral%v* (1.D0 + self%deltaV/NORM2(neutral%v) )
-          
-          !Changes velocity of impacting electron
-          electron%v = vp_e
-
-          !Creates a new electron from ionization
-          ALLOCATE(newElectron)
-          newElectron%species => electron%species
-          newElectron%v       =  vp_n
-          newElectron%r       =  neutral%r
-          newElectron%xi      = neutral%xi
-          newElectron%n_in    = .TRUE.
-          newElectron%vol     = neutral%vol
-          newElectron%volColl = neutral%volColl
-          newElectron%weight  = neutral%weight
-          newElectron%qm      = electron%qm
-
-          !Ionize neutral particle
-          SELECT TYPE(sp => neutral%species)
-          TYPE IS(speciesNeutral)
-            CALL sp%ionize(neutral)
-
-          CLASS DEFAULT
-            CALL criticalError(sp%name // " is not a neutral", 'collideBinaryIonization')
-
-          END SELECT
-
-          !Adds new electron to list of new particles from collisions
-          CALL OMP_SET_LOCK(lockCollisions)
-          CALL partCollisions%add(newElectron)
-          CALL OMP_UNSET_LOCK(lockCollisions)
+        ELSE
+          CALL criticalError("No matching between input particles and ionizing species", 'collideBinaryIonization')
 
         END IF
 
+        !Exchange energy between 
+        vp_e = electron%v*(1.D0 - self%deltaV/NORM2(electron%v))
+        vp_n = neutral%v* (1.D0 + self%deltaV/NORM2(neutral%v) )
+        
+        !Changes velocity of impacting electron
+        electron%v = vp_e
+
+        !Creates a new electron from ionization
+        ALLOCATE(newElectron)
+        newElectron%species => electron%species
+        newElectron%v       =  vp_n
+        newElectron%r       =  neutral%r
+        newElectron%xi      = neutral%xi
+        newElectron%n_in    = .TRUE.
+        newElectron%vol     = neutral%vol
+        newElectron%volColl = neutral%volColl
+        newElectron%weight  = neutral%weight
+        newElectron%qm      = electron%qm
+
+        !Ionize neutral particle
+        SELECT TYPE(sp => neutral%species)
+        TYPE IS(speciesNeutral)
+          CALL sp%ionize(neutral)
+
+        CLASS DEFAULT
+          CALL criticalError(sp%name // " is not a neutral", 'collideBinaryIonization')
+
+        END SELECT
+
+        !Adds new electron to list of new particles from collisions
+        CALL OMP_SET_LOCK(lockCollisions)
+        CALL partCollisions%add(newElectron)
+        CALL OMP_UNSET_LOCK(lockCollisions)
+
       END IF
 
     END SUBROUTINE collideBinaryIonization
 
     !ELECTRON ION RESONANT RECOMBINATION
     !Inits electron ion recombination
-    SUBROUTINE initBinaryRecombination(collision, crossSectionFilename, energyBinding, mass_i, mass_j, electron)
+    SUBROUTINE initBinaryRecombination(collision, crossSectionFilename, energyBinding, electron)
       USE moduleTable
       USE moduleRefParam
       USE moduleConstParam
@@ -362,7 +358,6 @@ MODULE moduleCollisions
       CLASS(collisionBinary), INTENT(out), ALLOCATABLE:: collision
       CHARACTER(:), ALLOCATABLE, INTENT(in):: crossSectionFilename
       REAL(8), INTENT(in):: energyBinding
-      REAL(8), INTENT(in):: mass_i, mass_j
       CHARACTER(:), ALLOCATABLE, INTENT(in):: electron
       INTEGER:: electronIndex
 
@@ -374,10 +369,6 @@ MODULE moduleCollisions
       !Convert to no-dimensional units
       CALL collision%crossSec%convert(eV2J/(m_ref*v_ref**2), 1.D0/L_ref**2)
 
-      !Calculates reduced mass
-      collision%sMassInv =  1.D0/(mass_i+mass_j)
-      collision%rMass    = (mass_i*mass_j)*collision%sMassInv
-
       !Specific parameters for ionization collision
       SELECT TYPE(collision)
       TYPE IS(collisionBinaryRecombination)
@@ -399,9 +390,8 @@ MODULE moduleCollisions
 
     END SUBROUTINE initBinaryRecombination
 
-    !Binary electron impact ionization process
-    SUBROUTINE collideBinaryRecombination(self, sigmaVrelMax, sigmaVrelMaxNew, &
-                                          part_i, part_j)
+    !Binary recombination
+    SUBROUTINE collideBinaryRecombination(self, part_i, part_j, vRel)
       USE moduleSpecies
       USE moduleErrors
       USE moduleList
@@ -410,59 +400,47 @@ MODULE moduleCollisions
       IMPLICIT NONE
 
       CLASS(collisionBinaryRecombination), INTENT(in):: self
-      REAL(8), INTENT(in):: sigmaVrelMax
-      REAL(8), INTENT(inout):: sigmaVrelMaxNew
+      REAL(8), INTENT(in):: vRel
       TYPE(particle), INTENT(inout), TARGET:: part_i, part_j
       TYPE(particle), POINTER:: electron => NULL(), ion => NULL()
-      REAL(8):: vRel, eRel
       REAL(8):: sigmaVrel
       REAL(8), DIMENSION(1:3):: vp_i
 
-      !eRel (in units of [m][L]^2[t]^-2
-      vRel = NORM2(part_i%v-part_j%v)
-      eRel = self%rMass*vRel**2
-      !Relative energy must be higher than threshold
-      sigmaVrel = self%crossSec%get(eRel)*vRel
-      sigmaVrelMaxNew = sigmaVrelMaxNew + sigmaVrel
-      IF (sigmaVrelMaxNew/sigmaVrelMax > random()) THEN
-        !Find which particle is the ionizing electron
-        IF    (ASSOCIATED(part_i%species, self%electron)) THEN
-          electron => part_i
-          ion      => part_j
+      IF    (ASSOCIATED(part_i%species, self%electron)) THEN
+        electron => part_i
+        ion      => part_j
 
-        ELSEIF(ASSOCIATED(part_j%species, self%electron)) THEN
-          electron => part_j
-          ion      => part_i
+      ELSEIF(ASSOCIATED(part_j%species, self%electron)) THEN
+        electron => part_j
+        ion      => part_i
 
-        ELSE
-          CALL criticalError("No matching between input particles and ionizing species", 'collideBinaryIonization')
-
-        END IF
-
-        !Excess energy
-        !TODO: This energy should be transformed into photons
-        vp_i = ion%v*     (1.D0 -  (vRel + self%deltaV)/NORM2(ion%v))
-
-        !Remove electron from simulation
-        electron%n_in = .FALSE.
-
-        !Neutralize ion particle
-        SELECT TYPE(sp => ion%species)
-        TYPE IS(speciesCharged)
-          CALL sp%neutralize(ion)
-
-        CLASS DEFAULT
-          CALL criticalError(sp%name // " is not a charge", 'collideBinaryRecombination')
-
-        END SELECT
+      ELSE
+        CALL criticalError("No matching between input particles and ionizing species", 'collideBinaryIonization')
 
       END IF
 
+      !Excess energy
+      !TODO: This energy should be transformed into photons
+      vp_i = ion%v*     (1.D0 -  (vRel + self%deltaV)/NORM2(ion%v))
+
+      !Remove electron from simulation
+      electron%n_in = .FALSE.
+
+      !Neutralize ion particle
+      SELECT TYPE(sp => ion%species)
+      TYPE IS(speciesCharged)
+        CALL sp%neutralize(ion)
+
+      CLASS DEFAULT
+        CALL criticalError(sp%name // " is not a charge", 'collideBinaryRecombination')
+
+      END SELECT
+
     END SUBROUTINE collideBinaryRecombination
 
     !RESONANT CHARGE EXCHANGE
     !Inits resonant charge exchange
-    SUBROUTINE initBinaryChargeExchange(collision, crossSectionFilename, mass_i, mass_j)
+    SUBROUTINE initBinaryChargeExchange(collision, crossSectionFilename)
       USE moduleTable
       USE moduleRefParam
       USE moduleConstParam
@@ -470,7 +448,6 @@ MODULE moduleCollisions
 
       CLASS(collisionBinary), INTENT(out), ALLOCATABLE:: collision
       CHARACTER(:), ALLOCATABLE, INTENT(in):: crossSectionFilename
-      REAL(8), INTENT(in):: mass_i, mass_j
 
       ALLOCATE(collisionBinaryChargeExchange:: collision)
 
@@ -480,56 +457,39 @@ MODULE moduleCollisions
       !Convert to no-dimensional units
       CALL collision%crossSec%convert(eV2J/(m_ref*v_ref**2), 1.D0/L_ref**2)
 
-      !Calculates reduced mass
-      collision%sMassInv =  1.D0/(mass_i+mass_j)
-      collision%rMass    = (mass_i*mass_j)/collision%sMassInv
-
     END SUBROUTINE initBinaryChargeExchange
 
-    SUBROUTINE collideBinaryChargeExchange(self, sigmaVrelMax, sigmaVrelMaxNew, &
-                                           part_i, part_j)
+    SUBROUTINE collideBinaryChargeExchange(self, part_i, part_j, vRel)
       USE moduleSpecies
       USE moduleRandom
       USE moduleMath
       IMPLICIT NONE
 
       CLASS(collisionBinaryChargeExchange), INTENT(in):: self
-      REAL(8), INTENT(in):: sigmaVrelMax
-      REAL(8), INTENT(inout):: sigmaVrelMaxNew
+      REAL(8), INTENT(in):: vRel
       TYPE(particle), INTENT(inout), TARGET:: part_i, part_j
-      REAL(8):: sigmaVrel
-      REAL(8):: vRel !relative velocity
-      REAL(8):: eRel !relative energy
 
-      !eRel (in units of [m][L]^2[t]^-2
-      vRel = NORM2(part_i%v-part_j%v)
-      eRel = self%rMass*vRel**2
-      sigmaVrel = self%crossSec%get(eRel)*vRel
-      sigmaVrelMaxNew = sigmaVrelMaxNew + sigmaVrel
-      IF (sigmaVrelMaxNew/sigmaVrelMax > random()) THEN
-        SELECT TYPE(sp => part_i%species)
-        TYPE IS (speciesNeutral)
-          !Species i is neutral, ionize particle i
-          CALL sp%ionize(part_i)
+      SELECT TYPE(sp => part_i%species)
+      TYPE IS (speciesNeutral)
+        !Species i is neutral, ionize particle i
+        CALL sp%ionize(part_i)
 
-        TYPE IS (speciesCharged)
-          !Species i is charged, neutralize particle i
-          CALL sp%neutralize(part_i)
+      TYPE IS (speciesCharged)
+        !Species i is charged, neutralize particle i
+        CALL sp%neutralize(part_i)
 
-        END SELECT
+      END SELECT
 
-        SELECT TYPE(sp => part_j%species)
-        TYPE IS (speciesNeutral)
-          !Species j is neutral, ionize particle j
-          CALL sp%ionize(part_j)
+      SELECT TYPE(sp => part_j%species)
+      TYPE IS (speciesNeutral)
+        !Species j is neutral, ionize particle j
+        CALL sp%ionize(part_j)
 
-        TYPE IS (speciesCharged)
-          !Species j is charged, neutralize particle j
-          CALL sp%neutralize(part_j)
+      TYPE IS (speciesCharged)
+        !Species j is charged, neutralize particle j
+        CALL sp%neutralize(part_j)
 
-        END SELECT
-
-      END IF
+      END SELECT
 
     END SUBROUTINE collideBinaryChargeExchange
 
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 31e2588..5d90f62 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -133,16 +133,16 @@ MODULE moduleInput
       IF (.NOT. found) CALL criticalError('Reference temperature not found','readReference')
 
       !If a reference cross section is given, it is used
-      CALL config%get(object // '.crossSection', sigma_ref, found)
+      CALL config%get(object // '.sigmaVrel', sigmavRel_ref, found)
 
       !If not, the reference radius is searched
       IF (.NOT. found) THEN
         CALL config%get(object // '.radius', r_ref, found)
         IF (found) THEN
-          sigma_ref = PI*(r_ref+r_ref)**2    !reference cross section
+          sigmaVrel_ref = PI*(r_ref+r_ref)**2*v_ref !reference cross section times velocity
 
         ELSE
-          sigma_ref = 0.D0 !Assume no collisions
+          sigmaVrel_ref = 0.D0 !Assume no collisions
 
         END IF
 
@@ -685,7 +685,7 @@ MODULE moduleInput
             CALL config%info(object // '.cTypes', found, n_children = nCollisions)
             ij = interactionIndex(pt_i,pt_j)
             !Allocates the required number of collisions per each pair of species ij
-            CALL interactionMatrix(ij)%init(nCollisions)
+            CALL interactionMatrix(ij)%init(nCollisions, species(pt_i)%obj%m, species(pt_j)%obj%m)
 
             DO k = 1, nCollisions
               WRITE (kString, '(I2)') k
@@ -700,13 +700,11 @@ MODULE moduleInput
               SELECT CASE(cType)
               CASE ('elastic')
                 !Elastic collision
-                CALL initBinaryElastic(interactionMatrix(ij)%collisions(k)%obj, &
-                                       crossSecFilePath, species(pt_i)%obj%m, species(pt_j)%obj%m)
+                CALL initBinaryElastic(interactionMatrix(ij)%collisions(k)%obj, crossSecFilePath)
 
               CASE ('chargeExchange')
                 !Resonant charge exchange
-                CALL initBinaryChargeExchange(interactionMatrix(ij)%collisions(k)%obj, &
-                                              crossSecFilePath, species(pt_i)%obj%m, species(pt_j)%obj%m)
+                CALL initBinaryChargeExchange(interactionMatrix(ij)%collisions(k)%obj, crossSecFilePath)
 
               CASE ('ionization')
                 !Electorn impact ionization
@@ -715,7 +713,7 @@ MODULE moduleInput
                 CALL config%get(object // '.electron', electron, found)
                 IF (.NOT. found) CALL criticalError('electron not found for collision' // object, 'readInteractions')
                 CALL initBinaryIonization(interactionMatrix(ij)%collisions(k)%obj, &
-                                          crossSecFilePath, energyThreshold, species(pt_i)%obj%m, species(pt_j)%obj%m, electron)
+                                          crossSecFilePath, energyThreshold, electron)
 
               CASE ('recombination')
                 !Electorn impact ionization
@@ -724,7 +722,7 @@ MODULE moduleInput
                 CALL config%get(object // '.electron', electron, found)
                 IF (.NOT. found) CALL criticalError('electron not found for collision' // object, 'readInteractions')
                 CALL initBinaryRecombination(interactionMatrix(ij)%collisions(k)%obj, &
-                                          crossSecFilePath, energyBinding, species(pt_i)%obj%m, species(pt_j)%obj%m, electron)
+                                          crossSecFilePath, energyBinding, electron)
 
               CASE DEFAULT
                 CALL criticalError('Collision type' // cType // 'not defined yet', 'readInteractions')
diff --git a/src/modules/moduleMath.f90 b/src/modules/moduleMath.f90
index 9bc8453..ca8d780 100644
--- a/src/modules/moduleMath.f90
+++ b/src/modules/moduleMath.f90
@@ -49,4 +49,14 @@ MODULE moduleMath
 
     END FUNCTION norm1
 
+    PURE FUNCTION reducedMass(m_i, m_j) RESULT(rMass)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: m_i, m_j
+      REAL(8):: rMass
+
+      rMass = (m_i * m_j) / (m_i + m_j)
+
+    END FUNCTION
+
 END MODULE moduleMath
diff --git a/src/modules/moduleRefParam.f90 b/src/modules/moduleRefParam.f90
index 2dacc21..051190b 100644
--- a/src/modules/moduleRefParam.f90
+++ b/src/modules/moduleRefParam.f90
@@ -1,7 +1,7 @@
 !Reference parameters
 MODULE moduleRefParam
   !Parameters that define the problem (inputs)
-  REAL(8):: n_ref, m_ref, T_ref, r_ref, debye_ref, sigma_ref
+  REAL(8):: n_ref, m_ref, T_ref, r_ref, debye_ref, sigmaVrel_ref
   !Reference parameters for non-dimensional problem
   REAL(8):: L_ref, v_ref, ti_ref, Vol_ref, EF_ref, Volt_ref, B_ref
 
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index 4142549..48d3dbc 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -243,8 +243,6 @@ MODULE moduleSolver
         v_prime = v_minus + fn * crossProduct(v_minus, B)
         v_plus  = v_minus + 2.D0 * fn / (1.D0 + fn**2 * B**2)*crossProduct(v_prime, B)
 
-        PRINT *, v_minus, v_plus
-
       END IF
 
       !Half step for electrostatic

From 4e9514876e2dcaa0b6a26045cc308efbfaefff31 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 23 Apr 2022 19:00:33 +0200
Subject: [PATCH 047/203] Number of collisions per collision pair

Now the number of collisions is calculated per species pair. This allows
that the randomly particles selected for collisions do not have
collisions assigned.
---
 src/modules/mesh/0D/moduleMesh0D.f90         |   4 +
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 |   3 +
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   |   3 +
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 |   6 ++
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   |   6 ++
 src/modules/mesh/3DCart/moduleMesh3DCart.f90 |   3 +
 src/modules/mesh/moduleMesh.f90              | 104 ++++++++++++-------
 src/modules/moduleCollisions.f90             |   8 +-
 src/modules/moduleInput.f90                  |   2 +-
 src/modules/moduleSolver.f90                 |  18 +++-
 10 files changed, 111 insertions(+), 46 deletions(-)

diff --git a/src/modules/mesh/0D/moduleMesh0D.f90 b/src/modules/mesh/0D/moduleMesh0D.f90
index 93fd4bd..6bae02f 100644
--- a/src/modules/mesh/0D/moduleMesh0D.f90
+++ b/src/modules/mesh/0D/moduleMesh0D.f90
@@ -63,6 +63,7 @@ MODULE moduleMesh0D
     !Inits dummy 0D volume
     SUBROUTINE initVol0D(self, n, p, nodes)
       USE moduleRefParam
+      USE moduleSpecies
       IMPLICIT NONE
 
       CLASS(meshVol0D), INTENT(out):: self
@@ -80,6 +81,9 @@ MODULE moduleMesh0D
 
       CALL OMP_INIT_LOCK(self%lock)
 
+      ALLOCATE(self%listPart_in(1:nSpecies))
+      ALLOCATE(self%totalWeight(1:nSpecies))
+
     END SUBROUTINE initVol0D
 
     PURE FUNCTION getNodes0D(self) RESULT(n)
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index fe755fa..9c8b039 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -220,6 +220,9 @@ MODULE moduleMesh1DCart
 
       CALL OMP_INIT_LOCK(self%lock)
 
+      ALLOCATE(self%listPart_in(1:nSpecies))
+      ALLOCATE(self%totalWeight(1:nSpecies))
+
     END SUBROUTINE initVol1DCartSegm
 
     !Calculates a random position in 1D volume
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 6fc3c66..20c732e 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -222,6 +222,9 @@ MODULE moduleMesh1DRad
 
       CALL OMP_INIT_LOCK(self%lock)
 
+      ALLOCATE(self%listPart_in(1:nSpecies))
+      ALLOCATE(self%totalWeight(1:nSpecies))
+
     END SUBROUTINE initVol1DRadSegm
 
     !Calculates a random position in 1D volume
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 4b23ff1..e0765da 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -311,6 +311,9 @@ MODULE moduleMesh2DCart
 
       CALL OMP_INIT_LOCK(self%lock)
 
+      ALLOCATE(self%listPart_in(1:nSpecies))
+      ALLOCATE(self%totalWeight(1:nSpecies))
+
     END SUBROUTINE initVolQuad2DCart
 
     !Computes element area
@@ -638,6 +641,9 @@ MODULE moduleMesh2DCart
 
       CALL OMP_INIT_LOCK(self%lock)
 
+      ALLOCATE(self%listPart_in(1:nSpecies))
+      ALLOCATE(self%totalWeight(1:nSpecies))
+
     END SUBROUTINE initVolTria2DCart
 
     !Random position in quadrilateral volume
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 1e4e580..a12aec8 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -299,6 +299,9 @@ MODULE moduleMesh2DCyl
 
       CALL OMP_INIT_LOCK(self%lock)
 
+      ALLOCATE(self%listPart_in(1:nSpecies))
+      ALLOCATE(self%totalWeight(1:nSpecies))
+
     END SUBROUTINE initVolQuad2DCyl
 
     !Computes element area
@@ -659,6 +662,9 @@ MODULE moduleMesh2DCyl
 
       CALL OMP_INIT_LOCK(self%lock)
 
+      ALLOCATE(self%listPart_in(1:nSpecies))
+      ALLOCATE(self%totalWeight(1:nSpecies))
+
     END SUBROUTINE initVolTria2DCyl
 
     !Random position in quadrilateral volume
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index d6a6391..b310457 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -285,6 +285,9 @@ MODULE moduleMesh3DCart
 
       CALL OMP_INIT_LOCK(self%lock)
 
+      ALLOCATE(self%listPart_in(1:nSpecies))
+      ALLOCATE(self%totalWeight(1:nSpecies))
+
     END SUBROUTINE initVolTetra3DCart
 
     !Random position in volume tetrahedron
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 9547304..a4b88cf 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -152,13 +152,13 @@ MODULE moduleMesh
     !Volume
     REAL(8):: volume = 0.D0
     !List of particles inside the volume
-    TYPE(listNode):: listPart_in
+    TYPE(listNode), ALLOCATABLE:: listPart_in(:)
     !Lock indicator for listPart_in
     INTEGER(KIND=OMP_LOCK_KIND):: lock
     !Number of collisions per volume
     INTEGER:: nColl = 0
     !Total weight of particles inside cell
-    REAL(8):: totalWeight = 0.D0
+    REAL(8), ALLOCATABLE:: totalWeight(:)
     CONTAINS
       PROCEDURE(initVol_interface),     DEFERRED, PASS::   init
       PROCEDURE(getNodesVol_interface), DEFERRED, PASS::   getNodes
@@ -516,6 +516,7 @@ MODULE moduleMesh
       CLASS(meshVol), OPTIONAL, INTENT(in):: oldCell
       REAL(8):: xi(1:3)
       CLASS(meshElement), POINTER:: nextElement
+      INTEGER:: sp
 
       xi = self%phy2log(part%r)
       !Checks if particle is inside 'self' cell
@@ -525,8 +526,9 @@ MODULE moduleMesh
         part%n_in = .TRUE.
         !Assign particle to listPart_in
         CALL OMP_SET_LOCK(self%lock)
-        CALL self%listPart_in%add(part)
-        self%totalWeight = self%totalWeight + part%weight
+        sp = part%species%n
+        CALL self%listPart_in(sp)%add(part)
+        self%totalWeight(sp) = self%totalWeight(sp) + part%weight
         CALL OMP_UNSET_LOCK(self%lock)
 
       ELSE
@@ -586,6 +588,7 @@ MODULE moduleMesh
       CLASS(meshVol), POINTER:: vol
       REAL(8), DIMENSION(1:3):: xii
       CLASS(meshElement), POINTER:: nextElement
+      INTEGER:: sp
 
       found = .FALSE.
       
@@ -595,8 +598,9 @@ MODULE moduleMesh
         IF (vol%inside(xii)) THEN
           part%volColl = vol%n
           CALL OMP_SET_LOCK(vol%lock)
-          CALL vol%listPart_in%add(part)
-          vol%totalWeight = vol%totalWeight + part%weight
+          sp = part%species%n
+          CALL vol%listPart_in(sp)%add(part)
+          vol%totalWeight(sp) = vol%totalWeight(sp) + part%weight
           CALL OMP_UNSET_LOCK(vol%lock)
           found = .TRUE.
 
@@ -660,61 +664,83 @@ MODULE moduleMesh
       INTEGER, INTENT(in):: t
       INTEGER:: e
       CLASS(meshVol), POINTER:: vol
-      INTEGER:: nPart !Number of particles inside the cell
+      INTEGER:: k, nPairs, i, j
+      INTEGER:: nPart_i, nPart_j, nPart!Number of particles inside the cell
       REAL(8):: pMax !Maximum probability of collision
+      TYPE(pointerArray), ALLOCATABLE:: partTemp_i(:), partTemp_j(:)
       INTEGER:: rnd !random index
       TYPE(particle), POINTER:: part_i, part_j
-      INTEGER:: n !collision
-      INTEGER:: ij, k
+      INTEGER:: n, c
       REAL(8):: sigmaVrelMaxNew
-      TYPE(pointerArray), ALLOCATABLE:: partTemp(:)
 
       IF (MOD(t, everyColl) == 0) THEN
         !Collisions need to be performed in this iteration
         !$OMP DO SCHEDULE(DYNAMIC)
         DO e=1, self%numVols
           vol => self%vols(e)%obj
-          nPart = vol%listPart_in%amount
 
-          !Resets the number of collisions
-          vol%nColl = 0
+          !TODO: Simplify this, to many sublevels
+          !Iterate over the number of pairs
+          nPairs = SIZE(interactionMatrix) !TODO: This does not change, make a variable in a module
+          DO k = 1, nPairs
+            IF (interactionMatrix(k)%amount > 0) THEN
+              !Select the species for the collision pair
+              i = interactionMatrix(k)%sp_i%n
+              j = interactionMatrix(k)%sp_j%n
 
-          !Calculates number of collisions if there is more than one particle in the cell
-          IF (nPart > 1) THEN
-            !Probability of collision
-            pMax = vol%totalWeight*vol%sigmaVrelMax*tauColl/vol%volume
+              !Number of particles per species in the collision pair
+              nPart_i = vol%listPart_in(i)%amount
+              nPart_j = vol%listPart_in(j)%amount
 
-            !Number of collisions in the cell
-            vol%nColl = NINT(REAL(nPart)*pMax*0.5D0)
+              IF (nPart_i > 0 .AND. nPart_j > 0) THEN
+                !Total number of particles for the collision pair
+                nPart = nPart_i + nPart_j
 
-            IF (vol%nColl > 0) THEN
-              !Converts the list of particles to an array for easy access
-              partTemp = vol%listPart_in%convert2Array()
+                !Resets the number of collisions in the cell
+                vol%nColl = 0
 
-            END IF
+                !Probability of collision for pair i-j
+                pMax = (vol%totalWeight(i) + vol%totalWeight(j))*vol%sigmaVrelMax*tauColl/vol%volume
 
-            DO n = 1, vol%nColl
-              !Select random numbers
-              rnd = random(1, nPart)
-              part_i => partTemp(rnd)%part
-              rnd = random(1, nPart)
-              part_j => partTemp(rnd)%part
-              ij = interactionIndex(part_i%species%n, part_j%species%n)
-              sigmaVrelMaxNew = 0.D0
-              DO k = 1, interactionMatrix(ij)%amount
-                CALL interactionMatrix(ij)%collisions(k)%obj%collide(vol%sigmaVrelMax, sigmaVrelMaxNew, part_i, part_j)
+                !Number of collisions in the cell
+                vol%nColl = NINT(REAL(nPart)*pMax*0.5D0)
 
-              END DO
+                !Converts the list of particles to an array for easy access
+                IF (vol%nColl > 0) THEN
+                  partTemp_i = vol%listPart_in(i)%convert2Array()
+                  partTemp_j = vol%listPart_in(j)%convert2Array()
 
-              !Update maximum cross section*v_rel per each collision
-              IF (sigmaVrelMaxNew > vol%sigmaVrelMax) THEN
-                vol%sigmaVrelMax = sigmaVrelMaxNew
+                END IF
+
+                !Do collisions
+                DO n = 1, vol%nColl
+                  !Select random particles
+                  rnd = random(1, nPart_i)
+                  part_i => partTemp_i(rnd)%part
+                  rnd = random(1, nPart_j)
+                  part_j => partTemp_j(rnd)%part
+
+                  !Check all possible collisions in the pair
+                  !TODO: Stop when collision occurs (and count it)
+                  sigmaVrelMaxNew = 0.D0
+                  DO c = 1, interactionMatrix(k)%amount
+                   CALL interactionMatrix(k)%collisions(c)%obj%collide(vol%sigmaVrelMax, sigmaVrelMaxNew, part_i, part_j)
+
+                  END DO
+
+                  !Update maximum cross section*v_rel per each collision
+                  IF (sigmaVrelMaxNew > vol%sigmaVrelMax) THEN
+                    vol%sigmaVrelMax = sigmaVrelMaxNew
+
+                  END IF
+
+                END DO
 
               END IF
 
-            END DO
+            END IF
 
-          END IF
+          END DO
 
         END DO
         !$OMP END DO
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index 2f22204..394b3cb 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -70,6 +70,8 @@ MODULE moduleCollisions
 
   !Type for interaction matrix
   TYPE:: interactionsBinary
+    CLASS(speciesGeneric), POINTER:: sp_i
+    CLASS(speciesGeneric), POINTER:: sp_j
     INTEGER:: amount
     TYPE(collisionCont), ALLOCATABLE:: collisions(:)
     CONTAINS
@@ -139,11 +141,15 @@ MODULE moduleCollisions
     END FUNCTION interactionIndex
 
     !Inits the binary interaction
-    SUBROUTINE initInteractionBinary(self, amount)
+    SUBROUTINE initInteractionBinary(self, amount, i, j)
       IMPLICIT NONE
 
       CLASS(interactionsBinary), INTENT(inout):: self
       INTEGER, INTENT(in):: amount
+      INTEGER, INTENT(in):: i, j
+
+      self%sp_i => species(i)%obj
+      self%sp_j => species(j)%obj
 
       self%amount = amount
 
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 31e2588..4ceca04 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -685,7 +685,7 @@ MODULE moduleInput
             CALL config%info(object // '.cTypes', found, n_children = nCollisions)
             ij = interactionIndex(pt_i,pt_j)
             !Allocates the required number of collisions per each pair of species ij
-            CALL interactionMatrix(ij)%init(nCollisions)
+            CALL interactionMatrix(ij)%init(nCollisions, pt_i, pt_j)
 
             DO k = 1, nCollisions
               WRITE (kString, '(I2)') k
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index 4142549..b89c7e8 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -243,8 +243,6 @@ MODULE moduleSolver
         v_prime = v_minus + fn * crossProduct(v_minus, B)
         v_plus  = v_minus + 2.D0 * fn / (1.D0 + fn**2 * B**2)*crossProduct(v_prime, B)
 
-        PRINT *, v_minus, v_plus
-
       END IF
 
       !Half step for electrostatic
@@ -459,6 +457,7 @@ MODULE moduleSolver
       INTEGER, SAVE:: nPartNew
       INTEGER, SAVE:: nInjIn, nOldIn, nWScheme, nCollisions, nSurfaces
       TYPE(particle), ALLOCATABLE, SAVE:: partTemp(:)
+      INTEGER:: s
 
       !$OMP SECTIONS
       !$OMP SECTION
@@ -545,7 +544,10 @@ MODULE moduleSolver
       !Erase the list of particles inside the cell
       DO e = 1, mesh%numVols
         mesh%vols(e)%obj%totalWeight = 0.D0
-        CALL mesh%vols(e)%obj%listPart_in%erase()
+        DO s = 1, nSpecies
+          CALL mesh%vols(e)%obj%listPart_in(s)%erase()
+
+        END DO
 
       END DO
 
@@ -553,7 +555,10 @@ MODULE moduleSolver
       !Erase the list of particles inside the cell in coll mesh
       DO e = 1, meshColl%numVols
         meshColl%vols(e)%obj%totalWeight = 0.D0
-        CALL meshColl%vols(e)%obj%listPart_in%erase()
+        DO s = 1, nSpecies
+          CALL meshColl%vols(e)%obj%listPart_in(s)%erase()
+
+        END DO
 
       END DO
 
@@ -687,6 +692,7 @@ MODULE moduleSolver
       REAL(8):: newWeight
       TYPE(particle), POINTER:: newPart
       INTEGER:: p
+      INTEGER:: sp
 
       newWeight = part%weight / nSplit
 
@@ -699,12 +705,14 @@ MODULE moduleSolver
         ALLOCATE(newPart)
         !Copy data from original particle
         newPart = part
+        !Add particle to list of new particles from weighting scheme
         CALL OMP_SET_LOCK(lockWScheme)
         CALL partWScheme%add(newPart)
         CALL OMP_UNSET_LOCK(lockWScheme)
         !Add particle to cell list
         CALL OMP_SET_lock(vol%lock)
-        CALL vol%listPart_in%add(newPart)
+        sp = part%species%n
+        CALL vol%listPart_in(sp)%add(newPart)
         CALL OMP_UNSET_lock(vol%lock)
 
       END DO

From 23e2fe9bae8758ae617e90d3a5521a42464d5a8b Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Fri, 10 Jun 2022 16:07:14 +0200
Subject: [PATCH 048/203] I'm dying with hay fever but I have to commit

I'm feeling awful but I have work in my desktop that I need to commit so
I can work with my laptop while I'm at the IEPC 2022 in Boston.
---
 data/collisions/EL_e-Ar.dat                   |   3 +
 data/collisions/IO_e-Li.dat                   | 148 ++++++++++++++++++
 src/modules/mesh/0D/moduleMesh0D.f90          |   2 -
 src/modules/mesh/1DCart/moduleMesh1DCart.f90  |   2 -
 src/modules/mesh/1DRad/moduleMesh1DRad.f90    |   2 -
 src/modules/mesh/2DCart/moduleMesh2DCart.f90  |   4 -
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    |   4 -
 src/modules/mesh/3DCart/moduleMesh3DCart.f90  |   2 -
 .../mesh/inout/0D/moduleMeshOutput0D.f90      |   3 +-
 .../inout/gmsh2/moduleMeshOutputGmsh2.f90     |  29 ++--
 src/modules/mesh/moduleMesh.f90               |  65 +++++---
 src/modules/mesh/moduleMeshBoundary.f90       |   7 -
 src/modules/moduleCollisions.f90              |  70 +++++----
 src/modules/moduleInject.f90                  |  35 +++--
 src/modules/moduleInput.f90                   |  58 ++++---
 src/modules/moduleSolver.f90                  |  14 +-
 src/modules/moduleSpecies.f90                 |   5 +-
 17 files changed, 313 insertions(+), 140 deletions(-)
 create mode 100644 data/collisions/EL_e-Ar.dat
 create mode 100644 data/collisions/IO_e-Li.dat

diff --git a/data/collisions/EL_e-Ar.dat b/data/collisions/EL_e-Ar.dat
new file mode 100644
index 0000000..097729e
--- /dev/null
+++ b/data/collisions/EL_e-Ar.dat
@@ -0,0 +1,3 @@
+# Relative energy (eV) cross section (m^2)
+0.0    1e-20
+1000.0 1e-20
diff --git a/data/collisions/IO_e-Li.dat b/data/collisions/IO_e-Li.dat
new file mode 100644
index 0000000..5e646f4
--- /dev/null
+++ b/data/collisions/IO_e-Li.dat
@@ -0,0 +1,148 @@
+# Rusudan I., et al., Atoms 9(4):90 2021
+# Relative energy (eV) cross section (m^2)
+5.393 1.061E-23
+6.000 5.885E-21
+7.000 1.352E-20
+8.000 1.927E-20
+9.000 2.364E-20
+10.000 2.698E-20
+11.000 2.956E-20
+12.000 3.156E-20
+13.000 3.309E-20
+14.000 3.427E-20
+15.000 3.517E-20
+16.000 3.585E-20
+17.000 3.635E-20
+18.000 3.670E-20
+19.000 3.694E-20
+20.000 3.708E-20
+21.000 3.714E-20
+22.000 3.714E-20
+23.000 3.709E-20
+24.000 3.700E-20
+25.000 3.686E-20
+26.000 3.671E-20
+27.000 3.652E-20
+28.000 3.632E-20
+29.000 3.610E-20
+30.000 3.588E-20
+31.000 3.564E-20
+32.000 3.539E-20
+33.000 3.514E-20
+34.000 3.488E-20
+35.000 3.462E-20
+36.000 3.435E-20
+37.000 3.409E-20
+38.000 3.383E-20
+39.000 3.356E-20
+40.000 3.330E-20
+41.000 3.304E-20
+42.000 3.277E-20
+43.000 3.252E-20
+44.000 3.226E-20
+45.000 3.201E-20
+46.000 3.175E-20
+47.000 3.151E-20
+48.000 3.126E-20
+49.000 3.102E-20
+50.000 3.078E-20
+51.000 3.054E-20
+52.000 3.031E-20
+53.000 3.008E-20
+54.000 2.985E-20
+55.000 2.963E-20
+56.000 2.941E-20
+57.000 2.919E-20
+58.000 2.898E-20
+59.000 2.877E-20
+60.000 2.856E-20
+61.000 2.835E-20
+62.000 2.815E-20
+63.000 2.795E-20
+64.000 2.776E-20
+65.000 2.756E-20
+66.000 2.737E-20
+67.000 2.719E-20
+68.000 2.700E-20
+69.000 2.682E-20
+70.000 2.664E-20
+71.000 2.646E-20
+72.000 2.629E-20
+73.000 2.612E-20
+74.000 2.595E-20
+75.000 2.578E-20
+76.000 2.562E-20
+77.000 2.546E-20
+78.000 2.530E-20
+79.000 2.514E-20
+80.000 2.499E-20
+81.000 2.483E-20
+82.000 2.468E-20
+83.000 2.453E-20
+84.000 2.439E-20
+85.000 2.424E-20
+86.000 2.410E-20
+87.000 2.396E-20
+88.000 2.382E-20
+89.000 2.369E-20
+90.000 2.355E-20
+91.000 2.342E-20
+92.000 2.329E-20
+93.000 2.316E-20
+94.000 2.303E-20
+95.000 2.290E-20
+96.000 2.278E-20
+97.000 2.266E-20
+98.000 2.253E-20
+99.000 2.241E-20
+100.000 2.230E-20
+101.000 2.218E-20
+102.000 2.206E-20
+103.000 2.195E-20
+104.000 2.184E-20
+105.000 2.173E-20
+106.000 2.162E-20
+107.000 2.151E-20
+108.000 2.140E-20
+109.000 2.129E-20
+110.000 2.119E-20
+111.000 2.109E-20
+112.000 2.098E-20
+113.000 2.088E-20
+114.000 2.078E-20
+115.000 2.068E-20
+116.000 2.059E-20
+117.000 2.049E-20
+118.000 2.039E-20
+119.000 2.030E-20
+120.000 2.021E-20
+121.000 2.011E-20
+122.000 2.002E-20
+123.000 1.993E-20
+124.000 1.984E-20
+125.000 1.976E-20
+126.000 1.967E-20
+127.000 1.958E-20
+128.000 1.950E-20
+129.000 1.941E-20
+130.000 1.933E-20
+131.000 1.924E-20
+132.000 1.916E-20
+133.000 1.908E-20
+134.000 1.900E-20
+135.000 1.892E-20
+136.000 1.884E-20
+137.000 1.877E-20
+138.000 1.869E-20
+139.000 1.861E-20
+140.000 1.854E-20
+141.000 1.846E-20
+142.000 1.839E-20
+143.000 1.831E-20
+144.000 1.824E-20
+145.000 1.817E-20
+146.000 1.810E-20
+147.000 1.803E-20
+148.000 1.796E-20
+149.000 1.789E-20
+150.000 1.782E-20
diff --git a/src/modules/mesh/0D/moduleMesh0D.f90 b/src/modules/mesh/0D/moduleMesh0D.f90
index d908dd5..8e8072d 100644
--- a/src/modules/mesh/0D/moduleMesh0D.f90
+++ b/src/modules/mesh/0D/moduleMesh0D.f90
@@ -77,8 +77,6 @@ MODULE moduleMesh0D
       self%volume = 1.D0
       self%n1%v = 1.D0
 
-      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
-
       CALL OMP_INIT_LOCK(self%lock)
 
       ALLOCATE(self%listPart_in(1:nSpecies))
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 2ad9251..0a846d9 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -216,8 +216,6 @@ MODULE moduleMesh1DCart
       self%n1%v = self%n1%v + self%arNodes(1)
       self%n2%v = self%n2%v + self%arNodes(2)
 
-      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
-
       CALL OMP_INIT_LOCK(self%lock)
 
       ALLOCATE(self%listPart_in(1:nSpecies))
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index d8c0cb1..57619ee 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -218,8 +218,6 @@ MODULE moduleMesh1DRad
       self%n1%v = self%n1%v + self%arNodes(1)
       self%n2%v = self%n2%v + self%arNodes(2)
 
-      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
-
       CALL OMP_INIT_LOCK(self%lock)
 
       ALLOCATE(self%listPart_in(1:nSpecies))
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 8be8473..d01c0e4 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -307,8 +307,6 @@ MODULE moduleMesh2DCart
       self%n3%v = self%n3%v + self%arNodes(3)
       self%n4%v = self%n4%v + self%arNodes(4)
 
-      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
-
       CALL OMP_INIT_LOCK(self%lock)
 
       ALLOCATE(self%listPart_in(1:nSpecies))
@@ -637,8 +635,6 @@ MODULE moduleMesh2DCart
       self%n2%v = self%n2%v + self%arNodes(2)
       self%n3%v = self%n3%v + self%arNodes(3)
 
-      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
-
       CALL OMP_INIT_LOCK(self%lock)
 
       ALLOCATE(self%listPart_in(1:nSpecies))
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 02ff673..0a6b7f4 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -295,8 +295,6 @@ MODULE moduleMesh2DCyl
       self%n3%v = self%n3%v + self%arNodes(3)
       self%n4%v = self%n4%v + self%arNodes(4)
 
-      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
-
       CALL OMP_INIT_LOCK(self%lock)
 
       ALLOCATE(self%listPart_in(1:nSpecies))
@@ -658,8 +656,6 @@ MODULE moduleMesh2DCyl
       self%n2%v = self%n2%v + self%arNodes(2)
       self%n3%v = self%n3%v + self%arNodes(3)
 
-      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
-
       CALL OMP_INIT_LOCK(self%lock)
 
       ALLOCATE(self%listPart_in(1:nSpecies))
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 23acdd2..0add18a 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -281,8 +281,6 @@ MODULE moduleMesh3DCart
       self%n3%v = self%n3%v + volNodes(3)
       self%n4%v = self%n4%v + volNodes(4)
 
-      self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
-
       CALL OMP_INIT_LOCK(self%lock)
 
       ALLOCATE(self%listPart_in(1:nSpecies))
diff --git a/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90 b/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
index 13e25ff..15045b1 100644
--- a/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
+++ b/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
@@ -45,6 +45,7 @@ MODULE moduleMeshOutput0D
       CLASS(meshGeneric), INTENT(inout):: self
       INTEGER, INTENT(in):: t
       CHARACTER(:), ALLOCATABLE:: fileName
+      INTEGER:: k
 
       fileName='OUTPUT_Collisions.dat'
       IF (t == 0) THEN
@@ -56,7 +57,7 @@ MODULE moduleMeshOutput0D
       END IF
       
       OPEN(20, file = path // folder // '/' // fileName, position = 'append', action = 'write')
-      WRITE(20, "(ES20.6E3, I20)") REAL(t)*tauMin*ti_ref, self%vols(1)%obj%nColl
+      WRITE(20, "(ES20.6E3, 10I20)") REAL(t)*tauMin*ti_ref, (self%vols(1)%obj%tallyColl(k)%tally, k=1,nCollPairs)
       CLOSE(20)
 
     END SUBROUTINE printColl0D
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index e63a73c..40eda4f 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -98,6 +98,7 @@ MODULE moduleMeshOutputGmsh2
       CLASS(meshGeneric), INTENT(inout):: self
       INTEGER, INTENT(in):: t
       INTEGER:: numEdges
+      INTEGER:: k, c
       INTEGER:: n
       REAL(8):: time
       CHARACTER(:), ALLOCATABLE:: fileName
@@ -125,19 +126,23 @@ MODULE moduleMeshOutputGmsh2
         WRITE(60, "(A)") '$MeshFormat'
         WRITE(60, "(A)") '2.2 0 8'
         WRITE(60, "(A)") '$EndMeshFormat'
-        WRITE(60, "(A)") '$ElementData'
-        WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"Collisions"'
-        WRITE(60, *) 1
-        WRITE(60, *) time
-        WRITE(60, *) 3
-        WRITE(60, *) t
-        WRITE(60, *) 1
-        WRITE(60, *) self%numVols
-        DO n=1, self%numVols
-          WRITE(60, "(I6,I10)") n + numEdges, self%vols(n)%obj%nColl
+        DO k = 1, nCollPairs
+          DO c = 1, interactionMatrix(k)%amount
+            WRITE(60, "(A)") '$ElementData'
+            WRITE(60, "(A)") '1'
+            WRITE(60, "(5A,I2)") '"Pair ', interactionMatrix(k)%sp_i%name, '-', interactionMatrix(k)%sp_j%name, ' collision ', c
+            WRITE(60, *) 1
+            WRITE(60, *) time
+            WRITE(60, *) 3
+            WRITE(60, *) t
+            WRITE(60, *) 1
+            WRITE(60, *) self%numVols
+            DO n=1, self%numVols
+              WRITE(60, "(I6,I10)") n + numEdges, self%vols(n)%obj%tallyColl(k)%tally(c)
+            END DO
+            WRITE(60, "(A)") '$EndElementData'
+          END DO
         END DO
-        WRITE(60, "(A)") '$EndElementData'
 
         CLOSE(60)
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index e7d98f3..142b78d 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -3,6 +3,7 @@ MODULE moduleMesh
   USE moduleList
   USE moduleOutput
   USE moduleBoundary
+  USE moduleCollisions
   IMPLICIT NONE
 
   !Generic mesh element
@@ -148,15 +149,15 @@ MODULE moduleMesh
   !Parent of Volume element
   TYPE, PUBLIC, ABSTRACT, EXTENDS(meshElement):: meshVol
     !Maximum collision rate
-    REAL(8):: sigmaVrelMax = 0.D0
+    REAL(8), ALLOCATABLE:: sigmaVrelMax(:)
+    !Arrays for counting number of collisions
+    TYPE(tallyCollisions), ALLOCATABLE:: tallyColl(:)
     !Volume
     REAL(8):: volume = 0.D0
     !List of particles inside the volume
     TYPE(listNode), ALLOCATABLE:: listPart_in(:)
     !Lock indicator for listPart_in
     INTEGER(KIND=OMP_LOCK_KIND):: lock
-    !Number of collisions per volume
-    INTEGER:: nColl = 0
     !Total weight of particles inside cell
     REAL(8), ALLOCATABLE:: totalWeight(:)
     CONTAINS
@@ -658,15 +659,17 @@ MODULE moduleMesh
       USE moduleList
       use moduleRefParam
       USE moduleRandom
+      USE moduleOutput
       IMPLICIT NONE
 
       CLASS(meshGeneric), INTENT(inout), TARGET:: self
       INTEGER, INTENT(in):: t
       INTEGER:: e
       CLASS(meshVol), POINTER:: vol
-      INTEGER:: k, nPairs, i, j
+      INTEGER:: k, i, j
       INTEGER:: nPart_i, nPart_j, nPart!Number of particles inside the cell
       REAL(8):: pMax !Maximum probability of collision
+      INTEGER:: nColl
       TYPE(pointerArray), ALLOCATABLE:: partTemp_i(:), partTemp_j(:)
       TYPE(particle), POINTER:: part_i, part_j
       INTEGER:: n, c
@@ -674,21 +677,23 @@ MODULE moduleMesh
       REAL(8):: sigmaVrelTotal
       REAL(8), ALLOCATABLE:: sigmaVrel(:), probabilityColl(:)
       REAL(8):: rnd !Random number for collision
-      INTEGER:: realCollisions
 
       IF (MOD(t, everyColl) == 0) THEN
         !Collisions need to be performed in this iteration
-        !$OMP DO SCHEDULE(DYNAMIC)
+        !$OMP DO SCHEDULE(DYNAMIC) PRIVATE(part_i, part_j, partTemp_i, partTemp_j)
         DO e=1, self%numVols
 
-          realCollisions = 0
-
           vol => self%vols(e)%obj
 
           !TODO: Simplify this, to many sublevels
           !Iterate over the number of pairs
-          nPairs = SIZE(interactionMatrix) !TODO: This does not change, make a variable in a module
-          DO k = 1, nPairs
+          DO k = 1, nCollPairs
+            !Reset tally of collisions
+            IF (collOutput) THEN
+              vol%tallyColl(k)%tally = 0
+
+            END IF
+
             IF (interactionMatrix(k)%amount > 0) THEN
               !Select the species for the collision pair
               i = interactionMatrix(k)%sp_i%n
@@ -703,22 +708,22 @@ MODULE moduleMesh
                 nPart = nPart_i + nPart_j
 
                 !Resets the number of collisions in the cell
-                vol%nColl = 0
+                nColl = 0
 
                 !Probability of collision for pair i-j
-                pMax = (vol%totalWeight(i) + vol%totalWeight(j))*vol%sigmaVrelMax*tauColl/vol%volume
+                pMax = (vol%totalWeight(i) + vol%totalWeight(j))*vol%sigmaVrelMax(k)*tauColl/vol%volume
 
                 !Number of collisions in the cell
-                vol%nColl = NINT(REAL(nPart)*pMax*0.5D0)
+                nColl = NINT(REAL(nPart)*pMax*0.5D0)
 
                 !Converts the list of particles to an array for easy access
-                IF (vol%nColl > 0) THEN
+                IF (nColl > 0) THEN
                   partTemp_i = vol%listPart_in(i)%convert2Array()
                   partTemp_j = vol%listPart_in(j)%convert2Array()
 
                 END IF
 
-                DO n = 1, vol%nColl
+                DO n = 1, nColl
                   !Select random particles
                   part_i => NULL()
                   part_j => NULL()
@@ -735,13 +740,12 @@ MODULE moduleMesh
 
                   !If particles do not belong to the species, skip collision
                   !This can happen, for example, if particle has been previously ionized or removed
-                  !TODO: Try to find a way to no lose these collisions. Check new 'k' and use that for the collision, maybe?
+                  !TODO: Try to find a way to no lose these collisions. Maybe check new 'k' and use that for the collision, maybe?
                   IF (part_i%species%n /= i .OR. &
                       part_j%species%n /= j) THEN
                       CYCLE
 
                   END IF
-
                   !Obtain the cross sections for the different processes
                   !TODO: From here it might be a procedure in interactionMatrix
                   vRel = NORM2(part_i%v-part_j%v)
@@ -749,26 +753,34 @@ MODULE moduleMesh
                   CALL interactionMatrix(k)%getSigmaVrel(vRel, eRel, sigmaVrelTotal, sigmaVrel)
 
                   !Update maximum sigma*v_rel
-                  IF (sigmaVrelTotal > vol%sigmaVrelMax) THEN
-                    vol%sigmaVrelMax = sigmaVrelTotal
+                  IF (sigmaVrelTotal > vol%sigmaVrelMax(k)) THEN
+                    vol%sigmaVrelMax(k) = sigmaVrelTotal
 
                   END IF
 
                   ALLOCATE(probabilityColl(0:interactionMatrix(k)%amount))
-                  probabilityColl(0) = 0.0
-                  probabilityColl(1:interactionMatrix(k)%amount) = sigmaVrel/vol%sigmaVrelMax
+                  probabilityColl = 0.0
+                  DO c = 1, interactionMatrix(k)%amount
+                    probabilityColl(c) = sigmaVrel(c)/vol%sigmaVrelMax(k) + SUM(probabilityColl(0:c-1))
+
+                  END DO
 
                   !Selects random number between 0 and 1
                   rnd = random()
 
                   !If the random number is below the total probability of collision, collide particles
-                  IF (rnd < sigmaVrelTotal / vol%sigmaVrelMax) THEN
+                  IF (rnd < sigmaVrelTotal / vol%sigmaVrelMax(k)) THEN
 
                     !Loop over collisions
                     DO c = 1, interactionMatrix(k)%amount
-                      IF (SUM(probabilityColl(0:c-1)) + rnd <= probabilityColl(c)) THEN
+                      IF (rnd <= probabilityColl(c)) THEN
                         CALL interactionMatrix(k)%collisions(c)%obj%collide(part_i, part_j, vRel)
-                        realCollisions = realCollisions + 1
+
+                        !If collisions are gonna be output, count the collision
+                        IF (collOutput) THEN
+                          vol%tallyColl(k)%tally(c) = vol%tallyColl(k)%tally(c) + 1
+
+                        END IF
 
                         !A collision has ocurred, exit the loop
                         EXIT
@@ -782,16 +794,17 @@ MODULE moduleMesh
                   !Deallocate arrays for next collision
                   DEALLOCATE(sigmaVrel, probabilityColl)
 
+                !End loop collisions in cell
                 END DO
 
               END IF
 
             END IF
 
+          !End loop collision pairs
           END DO
 
-          vol%nColl = realCollisions
-
+        !End loop volumes
         END DO
         !$OMP END DO
 
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 4f54e92..5f3bc26 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -159,13 +159,6 @@ MODULE moduleMeshBoundary
             newElectron%xi = mesh%vols(part%vol)%obj%phy2log(newElectron%r)
             newIon%xi      = newElectron%xi
 
-            newElectron%qm = part%qm
-            SELECT TYPE(spe => bound%species)
-            TYPE IS(speciesCharged)
-              newIon%qm = spe%qm
-
-            END SELECT
-
             newElectron%weight = bound%species%weight
             newIon%weight      = newElectron%weight
 
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index 01571c6..47cace6 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -78,6 +78,14 @@ MODULE moduleCollisions
 
   END TYPE interactionsBinary
 
+  !Type to count number of collisions
+  TYPE:: tallyCollisions
+    INTEGER, ALLOCATABLE:: tally(:)
+
+  END TYPE
+
+  !Number of collision pairs (nSpecies*(nSpecies+1)/2)
+  INTEGER:: nCollPairs = 0
   !Collision 'Matrix'. A symmetric 2D matrix put into a 1D array to save memory
   TYPE(interactionsBinary), ALLOCATABLE, TARGET:: interactionMatrix(:)
   !Folder for collision cross section tables
@@ -120,10 +128,9 @@ MODULE moduleCollisions
       IMPLICIT NONE
 
       TYPE(interactionsBinary), INTENT(inout), ALLOCATABLE:: interactionMatrix(:)
-      INTEGER:: nInteractions
 
-      nInteractions = (nSpecies*(nSpecies+1))/2
-      ALLOCATE(interactionMatrix(1:nInteractions))
+      nCollPairs = (nSpecies*(nSpecies+1))/2
+      ALLOCATE(interactionMatrix(1:nCollPairs))
 
       interactionMatrix(:)%amount = 0
       interactionMatrix(:)%rMass = 0.D0
@@ -222,8 +229,7 @@ MODULE moduleCollisions
       TYPE(particle), INTENT(inout), TARGET:: part_i, part_j
       REAL(8), INTENT(in):: vRel
       REAL(8):: m_i, m_j
-      REAL(8), DIMENSION(1:3):: vCM
-      REAL(8):: vp(1:3)
+      REAL(8), DIMENSION(1:3):: vCM, vp
 
       m_i = part_i%species%m
       m_j = part_j%species%m
@@ -232,13 +238,8 @@ MODULE moduleCollisions
       vp  = vRel*randomDirectionVHS()
 
       !Assign velocities to particles
-      PRINT *, part_i%v
       part_i%v = vCM + m_j*vp / (m_i + m_j)
-      PRINT *, part_i%v
-      PRINT *, part_j%v
       part_j%v = vCM - m_i*vp / (m_i + m_j)
-      PRINT *, part_j%v
-      PRINT *
 
     END SUBROUTINE collideBinaryElastic
 
@@ -273,16 +274,21 @@ MODULE moduleCollisions
         !Input energy is in eV. Convert to J with ev2J and then to
         !non-dimensional units.
         collision%eThreshold = energyThreshold*eV2J/(m_ref*v_ref**2)
+        !species for impacting electron
         electronIndex = speciesName2Index(electron)
         SELECT TYPE(sp => species(electronIndex)%obj)
         TYPE IS(speciesCharged)
           collision%electron => sp
 
         CLASS DEFAULT
-          CALL criticalError("Species " // sp%name // " chosen for ionization is not a charged species", 'initBinaryIonization')
+          CALL criticalError("Species " // sp%name // " chosen for " // &
+                             "secondary electron is not a charged species", 'initBinaryIonization')
 
         END SELECT
 
+        !momentum change per ionization process
+        collision%deltaV = sqrt(collision%eThreshold / collision%electron%m)
+
       END SELECT
 
     END SUBROUTINE initBinaryIonization
@@ -302,8 +308,8 @@ MODULE moduleCollisions
       REAL(8), INTENT(in):: vRel
       REAL(8):: rMass, eRel
       TYPE(particle), POINTER:: electron => NULL(), neutral => NULL()
+      REAL(8), DIMENSION(1:3):: vChange
       TYPE(particle), POINTER:: newElectron
-      REAL(8), DIMENSION(1:3):: vp_e, vp_n
 
       rMass = reducedMass(part_i%species%m, part_j%species%m)
       eRel = rMass*vRel**2
@@ -322,35 +328,35 @@ MODULE moduleCollisions
 
         END IF
 
-        !Exchange energy between 
-        vp_e = electron%v*(1.D0 - self%deltaV/NORM2(electron%v))
-        vp_n = neutral%v* (1.D0 + self%deltaV/NORM2(neutral%v) )
-        
-        !Changes velocity of impacting electron
-        electron%v = vp_e
-
-        !Creates a new electron from ionization
-        ALLOCATE(newElectron)
-        newElectron%species => electron%species
-        newElectron%v       =  vp_n
-        newElectron%r       =  neutral%r
-        newElectron%xi      = neutral%xi
-        newElectron%n_in    = .TRUE.
-        newElectron%vol     = neutral%vol
-        newElectron%volColl = neutral%volColl
-        newElectron%weight  = neutral%weight
-        newElectron%qm      = electron%qm
-
         !Ionize neutral particle
         SELECT TYPE(sp => neutral%species)
         TYPE IS(speciesNeutral)
           CALL sp%ionize(neutral)
 
         CLASS DEFAULT
-          CALL criticalError(sp%name // " is not a neutral", 'collideBinaryIonization')
+          ! CALL criticalError(sp%name // " is not a neutral", 'collideBinaryIonization')
+          RETURN
 
         END SELECT
 
+        !Exchange of velocity between particles
+        vChange = self%deltaV*randomDirectionVHS()
+        
+        !Energy is loss by the primary electron
+        electron%v = electron%v - vChange
+
+        !Creates a new electron from ionization
+        ALLOCATE(newElectron)
+        newElectron%species => electron%species
+        !Secondary electorn gains energy from ionization
+        newElectron%v       =  vChange
+        newElectron%r       =  neutral%r
+        newElectron%xi      =  neutral%xi
+        newElectron%n_in    =  .TRUE.
+        newElectron%vol     =  neutral%vol
+        newElectron%volColl =  neutral%volColl
+        newElectron%weight  =  neutral%weight
+
         !Adds new electron to list of new particles from collisions
         CALL OMP_SET_LOCK(lockCollisions)
         CALL partCollisions%add(newElectron)
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 9bfb35f..26f5ce1 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -82,6 +82,7 @@ MODULE moduleInject
       INTEGER, INTENT(in):: i
       REAL(8), INTENT(in):: v, n(1:3), T(1:3)
       INTEGER, INTENT(in):: sp, physicalSurface
+      REAL(8):: tauInject
       REAL(8), INTENT(in):: flow
       CHARACTER(:), ALLOCATABLE, INTENT(in):: units
       INTEGER:: e, et
@@ -93,18 +94,19 @@ MODULE moduleInject
       self%n          =  n / NORM2(n)
       self%T          =  T / T_ref
       self%species    => species(sp)%obj
+      tauInject = tau(self%species%n)
       SELECT CASE(units)
       CASE ("sccm")
         !Standard cubic centimeter per minute
-        self%nParticles = INT(flow*sccm2atomPerS*tauMin*ti_ref/species(sp)%obj%weight)
+        self%nParticles = INT(flow*sccm2atomPerS*tauInject*ti_ref/species(sp)%obj%weight)
 
       CASE ("A")
         !Input current in Ampers
-        self%nParticles = INT(flow*tauMin*ti_ref/(qe*species(sp)%obj%weight))
+        self%nParticles = INT(flow*tauInject*ti_ref/(qe*species(sp)%obj%weight))
 
       CASE ("part/s")
         !Input current in Ampers
-        self%nParticles = INT(flow*tauMin*ti_ref/species(sp)%obj%weight)
+        self%nParticles = INT(flow*tauInject*ti_ref/species(sp)%obj%weight)
 
       CASE DEFAULT
         CALL criticalError("No support for units: " // units, 'initInject')
@@ -161,8 +163,6 @@ MODULE moduleInject
       END DO
       self%sumWeight = self%cumWeight(self%nEdges)
 
-      nPartInj = nPartInj + self%nParticles
-
     END SUBROUTINE initInject
 
     !Injection of particles
@@ -174,12 +174,24 @@ MODULE moduleInject
       INTEGER:: i
       
       !$OMP SINGLE
+      nPartInj = 0
+      DO i = 1, nInject
+        IF (solver%pusher(inject(i)%species%n)%pushSpecies) THEN 
+          nPartInj = nPartInj + inject(i)%nParticles
+
+        END IF
+
+      END DO
+
       IF (ALLOCATED(partInj)) DEALLOCATE(partInj)
       ALLOCATE(partInj(1:nPartInj))
       !$OMP END SINGLE
 
       DO i=1, nInject
-        CALL inject(i)%addParticles()
+        IF (solver%pusher(inject(i)%species%n)%pushSpecies) THEN 
+          CALL inject(i)%addParticles()
+
+        END IF
       END DO
 
     END SUBROUTINE doInjects
@@ -240,7 +252,7 @@ MODULE moduleInject
       CLASS(injectGeneric), INTENT(in):: self
       INTEGER:: randomX
       INTEGER, SAVE:: nMin, nMax !Min and Max index in partInj array
-      INTEGER:: n
+      INTEGER:: n, sp
       CLASS(meshEdge), POINTER:: randomEdge
 
       !Insert particles
@@ -251,12 +263,6 @@ MODULE moduleInject
       partInj(nMin:nMax)%weight = self%species%weight
       !Particle is considered to be outside the domain
       partInj(nMin:nMax)%n_in = .FALSE.
-      !Assign charge/mass to charged particle.
-      SELECT TYPE(sp => self%species)
-      TYPE IS(speciesCharged)
-        partInj(nMin:nMax)%qm = sp%qm
-
-      END SELECT
       !$OMP END SINGLE
 
       !$OMP DO
@@ -278,6 +284,7 @@ MODULE moduleInject
 
         END IF
         partInj(n)%volColl = randomEdge%eColl%n
+        sp = self%species%n
 
         !Assign particle type
         partInj(n)%species => self%species
@@ -289,7 +296,7 @@ MODULE moduleInject
         !Obtain natural coordinates of particle in cell
         partInj(n)%xi = mesh%vols(partInj(n)%vol)%obj%phy2log(partInj(n)%r)
         !Push new particle with the minimum time step
-        CALL solver%pusher(self%species%n)%pushParticle(partInj(n), tauMin)
+        CALL solver%pusher(sp)%pushParticle(partInj(n), tau(sp))
         !Assign cell to new particle
         CALL solver%updateParticleCell(partInj(n))
 
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 1e907ef..db9ea74 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -132,6 +132,15 @@ MODULE moduleInput
       CALL config%get(object // '.temperature', T_ref, found)
       IF (.NOT. found) CALL criticalError('Reference temperature not found','readReference')
 
+      !Derived parameters
+      L_ref     = DSQRT(kb*T_ref*eps_0/n_ref)/qe !reference length
+      v_ref     = DSQRT(kb*T_ref/m_ref)          !reference velocity
+      ti_ref    = L_ref/v_ref                    !reference time
+      Vol_ref   = L_ref**3                       !reference volume
+      EF_ref    = qe*n_ref*L_ref/eps_0           !reference electric field
+      Volt_ref  = EF_ref*L_ref                   !reference voltage
+      B_ref     = m_ref / (ti_ref * qe)          !reference magnetic field
+
       !If a reference cross section is given, it is used
       CALL config%get(object // '.sigmaVrel', sigmavRel_ref, found)
 
@@ -147,15 +156,6 @@ MODULE moduleInput
         END IF
 
       END IF
-      
-      !Derived parameters
-      L_ref     = DSQRT(kb*T_ref*eps_0/n_ref)/qe !reference length
-      v_ref     = DSQRT(kb*T_ref/m_ref)          !reference velocity
-      ti_ref    = L_ref/v_ref                    !reference time
-      Vol_ref   = L_ref**3                       !reference volume
-      EF_ref    = qe*n_ref*L_ref/eps_0           !reference electric field
-      Volt_ref  = EF_ref*L_ref                   !reference voltage
-      B_ref     = m_ref / (ti_ref * qe)          !reference magnetic field
 
     END SUBROUTINE readReference
 
@@ -417,15 +417,6 @@ MODULE moduleInput
               END IF
               partNew%n_in   = .TRUE.
               partNew%weight = species(sp)%obj%weight
-              !If charged species, add qm to particle
-              SELECT TYPE(sp => species(sp)%obj)
-              TYPE IS (speciesCharged)
-                partNew%qm = sp%qm
-
-              CLASS DEFAULT
-                partNew%qm = 0.D0
-
-              END SELECT
 
               !Assign particle to temporal list of particles
               CALL partInitial%add(partNew)
@@ -642,11 +633,13 @@ MODULE moduleInput
       CHARACTER(:), ALLOCATABLE:: crossSecFilePath
       CHARACTER(:), ALLOCATABLE:: cType
       LOGICAL:: found
-      INTEGER:: nInteractions, nCollisions
+      INTEGER:: nPairs, nCollisions
       INTEGER:: i, k, ij
       INTEGER:: pt_i, pt_j
       REAL(8):: energyThreshold, energyBinding
       CHARACTER(:), ALLOCATABLE:: electron
+      INTEGER:: e
+      CLASS(meshVol), POINTER:: vol
 
       !Firstly, checks if the object 'interactions' exists
       CALL config%info('interactions', found)
@@ -681,8 +674,8 @@ MODULE moduleInput
           !Inits lock for list of particles
           CALL OMP_INIT_LOCK(lockCollisions)
 
-          CALL config%info('interactions.collisions', found, n_children = nInteractions)
-          DO i = 1, nInteractions
+          CALL config%info('interactions.collisions', found, n_children = nPairs)
+          DO i = 1, nPairs
             WRITE(iString, '(I2)') i
             object = 'interactions.collisions(' // TRIM(iString) // ')'
             CALL config%get(object // '.species_i', species_i, found)
@@ -691,6 +684,7 @@ MODULE moduleInput
             pt_j = speciesName2Index(species_j)
             CALL config%info(object // '.cTypes', found, n_children = nCollisions)
             ij = interactionIndex(pt_i,pt_j)
+
             !Allocates the required number of collisions per each pair of species ij
             CALL interactionMatrix(ij)%init(nCollisions, pt_i, pt_j)
 
@@ -732,7 +726,7 @@ MODULE moduleInput
                                           crossSecFilePath, energyBinding, electron)
 
               CASE DEFAULT
-                CALL criticalError('Collision type' // cType // 'not defined yet', 'readInteractions')
+                CALL criticalError('Collision type' // cType // 'not defined', 'readInteractions')
 
               END SELECT
 
@@ -740,6 +734,26 @@ MODULE moduleInput
 
           END DO
 
+          !Init the required arrays in each volume to account for MCC.
+          DO e = 1, meshForMCC%numVols
+            vol => meshForMCC%vols(e)%obj
+
+            !Allocate Maximum cross section per collision pair and assign the initial collision rate
+            ALLOCATE(vol%sigmaVrelMax(1:nCollPairs))
+            vol%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
+
+            IF (collOutput) THEN
+              ALLOCATE(vol%tallyColl(1:nCollPairs))
+              DO k = 1, nCollPairs
+                ALLOCATE(vol%tallyColl(k)%tally(1:interactionmatrix(k)%amount))
+                vol%tallyColl(k)%tally = 0
+
+              END DO
+
+            END IF
+
+          END DO
+
         END IF
 
       END IF
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index f038ee7..017a321 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -165,7 +165,7 @@ MODULE moduleSolver
       INTEGER:: sp
 
       !$OMP DO
-      DO n=1, nPartOld
+      DO n = 1, nPartOld
         !Select species type
         sp = partOld(n)%species%n
         !Checks if the species sp is update this iteration
@@ -204,7 +204,7 @@ MODULE moduleSolver
       REAL(8):: qmEFt(1:3)
 
       !Get the electric field at particle position
-      qmEFt = part%qm*gatherElecField(part)*tauIn
+      qmEFt = part%species%qm*gatherElecField(part)*tauIn
 
       !Update velocity
       part%v = part%v + qmEFt
@@ -230,7 +230,7 @@ MODULE moduleSolver
 
       tauInHalf = tauIn *0.5D0
       !Half of the force o f the electric field
-      qmEFt = part%qm*gatherElecField(part)*tauInHalf
+      qmEFt = part%species%qm*gatherElecField(part)*tauInHalf
 
       !Half step for electrostatic
       v_minus = part%v + qmEFt
@@ -239,7 +239,7 @@ MODULE moduleSolver
       B = gatherMagnField(part)
       BNorm = NORM2(B)
       IF (BNorm > 0.D0) THEN
-        fn = DTAN(part%qm * tauInHalf*BNorm) / Bnorm
+        fn = DTAN(part%species%qm * tauInHalf*BNorm) / BNorm
         v_prime = v_minus + fn * crossProduct(v_minus, B)
         v_plus  = v_minus + 2.D0 * fn / (1.D0 + fn**2 * B**2)*crossProduct(v_prime, B)
 
@@ -305,7 +305,7 @@ MODULE moduleSolver
 
       part_temp = part
       !Get electric field at particle position
-      qmEFt = part_temp%qm*gatherElecField(part_temp)*tauIn
+      qmEFt = part_temp%species%qm*gatherElecField(part_temp)*tauIn
       !z
       part_temp%v(1) = part%v(1) + qmEFt(1)
       part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
@@ -381,7 +381,7 @@ MODULE moduleSolver
 
       part_temp = part
       !Get electric field at particle position
-      qmEFt = part_temp%qm*gatherElecField(part_temp)*tauMin
+      qmEFt = part_temp%species%qm*gatherElecField(part_temp)*tauMin
       !r,theta
       v_p_oh_star(1) = part%v(1) + qmEFt(1)
       x_new = part%r(1) + v_p_oh_star(1)*tauIn
@@ -586,7 +586,7 @@ MODULE moduleSolver
 
       !Loops over the particles to scatter them
       !$OMP DO
-      DO n=1, nPartOld
+      DO n = 1, nPartOld
         CALL mesh%vols(partOld(n)%vol)%obj%scatter(partOld(n))
 
       END DO
diff --git a/src/modules/moduleSpecies.f90 b/src/modules/moduleSpecies.f90
index fd8494f..d19ff28 100644
--- a/src/modules/moduleSpecies.f90
+++ b/src/modules/moduleSpecies.f90
@@ -6,7 +6,7 @@ MODULE moduleSpecies
   
   TYPE, ABSTRACT:: speciesGeneric
     CHARACTER(:), ALLOCATABLE:: name
-    REAL(8):: m=0.D0, weight=0.D0
+    REAL(8):: m=0.D0, weight=0.D0, qm=0.D0
     INTEGER:: n=0
   END TYPE speciesGeneric
 
@@ -18,7 +18,7 @@ MODULE moduleSpecies
   END TYPE speciesNeutral
 
   TYPE, EXTENDS(speciesGeneric):: speciesCharged
-    REAL(8):: q=0.D0, qm=0.D0
+    REAL(8):: q=0.D0
     CLASS(speciesGeneric), POINTER:: ion => NULL(), neutral => NULL()
     CONTAINS
       PROCEDURE, PASS:: ionize     => ionizeCharged
@@ -43,7 +43,6 @@ MODULE moduleSpecies
     REAL(8):: xi(1:3) !Logical coordinates of particle in element e_p.
     LOGICAL:: n_in !Flag that indicates if a particle is in the domain
     REAL(8):: weight=0.D0 !weight of particle
-    REAL(8):: qm = 0.D0 !charge over mass
 
   END TYPE particle
 

From 50705292a78c168231becd6e1608802f2313a95d Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 8 Dec 2022 16:37:44 +0100
Subject: [PATCH 049/203] Changes in Cross Sections

Changes in cross-sections for Ar, particularly e-Ar process.
---
 data/collisions/EL_e-Ar.dat        | 207 ++++++++++++++++++++++++-
 data/collisions/IO_e-Ar.dat        | 235 +++++++++++++++++++++++++----
 runs/1D_Cathode/curve_potential.gp |  22 ---
 3 files changed, 406 insertions(+), 58 deletions(-)
 delete mode 100644 runs/1D_Cathode/curve_potential.gp

diff --git a/data/collisions/EL_e-Ar.dat b/data/collisions/EL_e-Ar.dat
index 097729e..b3d98a1 100644
--- a/data/collisions/EL_e-Ar.dat
+++ b/data/collisions/EL_e-Ar.dat
@@ -1,3 +1,204 @@
-# Relative energy (eV) cross section (m^2)
-0.0    1e-20
-1000.0 1e-20
+# EL cross sections extracted from PROGRAM MAGBOLTZ, VERSION 7.1 JUNE 2004 www.lxcat.net/Biagi-v7.1
+# Relative energy (eV) cross section (m^2)
+ 0.000000e+0    7.100000e-20
+ 1.000000e-3    6.298400e-20
+ 2.000000e-3    5.835000e-20
+ 5.000000e-3    4.977500e-20
+ 1.000000e-2    4.113000e-20
+ 2.000000e-2    3.071300e-20
+ 5.000000e-2    1.570900e-20
+ 1.000000e-1    6.062200e-21
+ 1.092000e-1    5.117000e-21
+ 1.482000e-1    2.519100e-21
+ 1.885000e-1    1.330700e-21
+ 2.303000e-1    9.762900e-22
+ 2.735000e-1    1.139000e-21
+ 3.183000e-1    1.628900e-21
+ 3.646000e-1    2.326700e-21
+ 4.125000e-1    3.155200e-21
+ 4.622000e-1    4.064500e-21
+ 5.136000e-1    5.023100e-21
+ 5.668000e-1    6.012300e-21
+ 6.218000e-1    7.023300e-21
+ 6.788000e-1    8.054600e-21
+ 7.378000e-1    9.110500e-21
+ 7.989000e-1    1.020000e-20
+ 8.621000e-1    1.133700e-20
+ 9.275000e-1    1.253700e-20
+ 9.953000e-1    1.382100e-20
+ 1.065400e+0    1.479100e-20
+ 1.138000e+0    1.576700e-20
+ 1.213100e+0    1.677000e-20
+ 1.290900e+0    1.778100e-20
+ 1.371400e+0    1.882800e-20
+ 1.454700e+0    1.991100e-20
+ 1.541000e+0    2.107400e-20
+ 1.630300e+0    2.232400e-20
+ 1.722700e+0    2.358000e-20
+ 1.818400e+0    2.476000e-20
+ 1.917400e+0    2.598200e-20
+ 2.020000e+0    2.729100e-20
+ 2.126100e+0    2.884100e-20
+ 2.235900e+0    3.044500e-20
+ 2.349700e+0    3.210500e-20
+ 2.467400e+0    3.382400e-20
+ 2.589200e+0    3.558500e-20
+ 2.715400e+0    3.740100e-20
+ 2.845900e+0    3.928100e-20
+ 2.981100e+0    4.122700e-20
+ 3.121000e+0    4.331500e-20
+ 3.265800e+0    4.548700e-20
+ 3.415700e+0    4.773600e-20
+ 3.570900e+0    5.006300e-20
+ 3.731500e+0    5.247300e-20
+ 3.897800e+0    5.496700e-20
+ 4.069900e+0    5.775100e-20
+ 4.248100e+0    6.093800e-20
+ 4.432500e+0    6.423700e-20
+ 4.623400e+0    6.765200e-20
+ 4.821000e+0    7.118700e-20
+ 5.025600e+0    7.507600e-20
+ 5.237300e+0    7.901500e-20
+ 5.456500e+0    8.309200e-20
+ 5.683400e+0    8.731200e-20
+ 5.918300e+0    9.168100e-20
+ 6.161400e+0    9.628400e-20
+ 6.413100e+0    1.010900e-19
+ 6.673600e+0    1.060800e-19
+ 6.943300e+0    1.118000e-19
+ 7.222400e+0    1.170000e-19
+ 7.511400e+0    1.222000e-19
+ 7.810500e+0    1.275900e-19
+ 8.120100e+0    1.326900e-19
+ 8.440600e+0    1.372100e-19
+ 8.772400e+0    1.416500e-19
+ 9.115800e+0    1.451600e-19
+ 9.471300e+0    1.487100e-19
+ 9.839300e+0    1.523900e-19
+ 1.022020e+1    1.548800e-19
+ 1.061450e+1    1.564600e-19
+ 1.100000e+1    1.580000e-19
+ 1.160000e+1    1.580000e-19
+ 1.220000e+1    1.571000e-19
+ 1.280380e+1    1.547800e-19
+ 1.328890e+1    1.525600e-19
+ 1.379110e+1    1.495700e-19
+ 1.431090e+1    1.458200e-19
+ 1.484890e+1    1.420600e-19
+ 1.540590e+1    1.373500e-19
+ 1.598240e+1    1.321600e-19
+ 1.657920e+1    1.291500e-19
+ 1.719700e+1    1.225700e-19
+ 1.783650e+1    1.157400e-19
+ 1.849840e+1    1.110100e-19
+ 1.918370e+1    1.069000e-19
+ 1.989300e+1    1.026400e-19
+ 2.062720e+1    9.899000e-20
+ 2.138720e+1    9.534100e-20
+ 2.217390e+1    9.156500e-20
+ 2.298830e+1    8.765600e-20
+ 2.383130e+1    8.361000e-20
+ 2.470400e+1    7.942100e-20
+ 2.560730e+1    7.611800e-20
+ 2.654230e+1    7.321900e-20
+ 2.751020e+1    7.021800e-20
+ 2.851210e+1    6.711300e-20
+ 2.954920e+1    6.389700e-20
+ 3.062280e+1    6.137900e-20
+ 3.173410e+1    5.937900e-20
+ 3.288440e+1    5.730800e-20
+ 3.407520e+1    5.516500e-20
+ 3.530780e+1    5.294600e-20
+ 3.658370e+1    5.064900e-20
+ 3.790450e+1    4.827200e-20
+ 3.927170e+1    4.581100e-20
+ 4.068690e+1    4.384700e-20
+ 4.215190e+1    4.245600e-20
+ 4.366840e+1    4.101500e-20
+ 4.523810e+1    3.952400e-20
+ 4.686300e+1    3.798000e-20
+ 4.854500e+1    3.638200e-20
+ 5.028610e+1    3.480000e-20
+ 5.208840e+1    3.353800e-20
+ 5.395410e+1    3.223200e-20
+ 5.588530e+1    3.088000e-20
+ 5.788440e+1    2.948100e-20
+ 5.995370e+1    2.803200e-20
+ 6.209570e+1    2.674300e-20
+ 6.431310e+1    2.541200e-20
+ 6.660830e+1    2.403500e-20
+ 6.898420e+1    2.260900e-20
+ 7.144360e+1    2.171100e-20
+ 7.398940e+1    2.120200e-20
+ 7.662470e+1    2.067500e-20
+ 7.935260e+1    2.012900e-20
+ 8.217640e+1    1.940100e-20
+ 8.509940e+1    1.859800e-20
+ 8.812510e+1    1.776600e-20
+ 9.125710e+1    1.690400e-20
+ 9.449930e+1    1.601300e-20
+ 9.785530e+1    1.509000e-20
+ 1.013293e+2    1.435400e-20
+ 1.049254e+2    1.395800e-20
+ 1.086478e+2    1.354900e-20
+ 1.125011e+2    1.312500e-20
+ 1.164898e+2    1.268600e-20
+ 1.206186e+2    1.223200e-20
+ 1.248925e+2    1.176200e-20
+ 1.293167e+2    1.127500e-20
+ 1.338963e+2    1.077100e-20
+ 1.386368e+2    1.025000e-20
+ 1.435440e+2    9.710200e-21
+ 1.486236e+2    9.151400e-21
+ 1.538817e+2    8.790400e-21
+ 1.593245e+2    8.496500e-21
+ 1.649587e+2    8.192200e-21
+ 1.707908e+2    7.877300e-21
+ 1.768279e+2    7.551300e-21
+ 1.830772e+2    7.213800e-21
+ 1.895461e+2    6.864500e-21
+ 1.962423e+2    6.502900e-21
+ 2.031738e+2    6.244500e-21
+ 2.103489e+2    6.118900e-21
+ 2.177762e+2    5.988900e-21
+ 2.254644e+2    5.854400e-21
+ 2.334229e+2    5.715100e-21
+ 2.416610e+2    5.570900e-21
+ 2.501886e+2    5.421700e-21
+ 2.590160e+2    5.267200e-21
+ 2.681535e+2    5.107300e-21
+ 2.776121e+2    4.941800e-21
+ 2.874032e+2    4.770400e-21
+ 2.975383e+2    4.593100e-21
+ 3.080295e+2    4.409500e-21
+ 3.188895e+2    4.219400e-21
+ 3.301311e+2    4.022700e-21
+ 3.417678e+2    3.819100e-21
+ 3.538134e+2    3.608300e-21
+ 3.662823e+2    3.390100e-21
+ 3.791894e+2    3.164200e-21
+ 3.925501e+2    2.930400e-21
+ 4.063803e+2    2.789400e-21
+ 4.355158e+2    2.740800e-21
+ 4.667351e+2    2.688800e-21
+ 4.831724e+2    2.661400e-21
+ 5.001872e+2    2.633000e-21
+ 5.178000e+2    2.603700e-21
+ 5.360318e+2    2.573300e-21
+ 5.549043e+2    2.541800e-21
+ 5.744399e+2    2.509300e-21
+ 5.946621e+2    2.475600e-21
+ 6.155950e+2    2.440700e-21
+ 6.372635e+2    2.404600e-21
+ 6.596934e+2    2.367200e-21
+ 6.829116e+2    2.328500e-21
+ 7.069458e+2    2.288400e-21
+ 7.318245e+2    2.247000e-21
+ 7.575776e+2    2.204000e-21
+ 7.842356e+2    2.159600e-21
+ 8.118305e+2    2.113600e-21
+ 8.403951e+2    2.066000e-21
+ 8.699636e+2    2.016700e-21
+ 9.005711e+2    1.965700e-21
+ 9.322543e+2    1.912900e-21
+ 9.650509e+2    1.858200e-21
diff --git a/data/collisions/IO_e-Ar.dat b/data/collisions/IO_e-Ar.dat
index 4d2e032..ce3955f 100644
--- a/data/collisions/IO_e-Ar.dat
+++ b/data/collisions/IO_e-Ar.dat
@@ -1,34 +1,203 @@
-# H. C. Straub et. al, Physical Review A, 55,2(1995)
+# EL cross sections extracted from PROGRAM MAGBOLTZ, VERSION 7.1 JUNE 2004 www.lxcat.net/Biagi-v7.1
 # Relative energy (eV) cross section (m^2)
-17 1.700E-22
-20 4.600E-21
-25 1.240E-20
-30 1.840E-20
-35 2.260E-20
-40 2.550E-20
-45 2.660E-20
-50 2.700E-20
-55 2.690E-20
-60 2.670E-20
-65 2.670E-20
-70 2.670E-20
-75 2.660E-20
-80 2.690E-20
-85 2.700E-20
-90 2.690E-20
-95 2.670E-20
-100 2.640E-20
-110 2.610E-20
-120 2.550E-20
-140 2.450E-20
-160 2.350E-20
-180 2.270E-20
-200 2.180E-20
-225 2.100E-20
-250 1.990E-20
-275 1.870E-20
-300 1.790E-20
-350 1.630E-20
-400 1.510E-20
-450 1.390E-20
-500 1.310E-20
+ 1.570000e+1    0.000000e+0
+ 1.571000e+1    1.033000e-25
+ 1.574000e+1    3.631000e-23
+ 1.577000e+1    7.390000e-23
+ 1.581000e+1    1.128000e-22
+ 1.585000e+1    1.531000e-22
+ 1.589000e+1    1.948000e-22
+ 1.593000e+1    2.379000e-22
+ 1.597000e+1    2.826000e-22
+ 1.602000e+1    3.330000e-22
+ 1.606000e+1    3.914000e-22
+ 1.611000e+1    4.518000e-22
+ 1.616000e+1    5.143000e-22
+ 1.621000e+1    5.791000e-22
+ 1.627000e+1    6.461000e-22
+ 1.632000e+1    7.155000e-22
+ 1.638000e+1    7.873000e-22
+ 1.644000e+1    8.616000e-22
+ 1.650000e+1    9.386000e-22
+ 1.656000e+1    1.026000e-21
+ 1.663000e+1    1.116000e-21
+ 1.670000e+1    1.209000e-21
+ 1.677000e+1    1.306000e-21
+ 1.684000e+1    1.406000e-21
+ 1.691000e+1    1.510000e-21
+ 1.699000e+1    1.617000e-21
+ 1.707000e+1    1.733000e-21
+ 1.715000e+1    1.853000e-21
+ 1.724000e+1    1.977000e-21
+ 1.733000e+1    2.106000e-21
+ 1.742000e+1    2.239000e-21
+ 1.752000e+1    2.378000e-21
+ 1.762000e+1    2.526000e-21
+ 1.772000e+1    2.680000e-21
+ 1.783000e+1    2.839000e-21
+ 1.794000e+1    3.004000e-21
+ 1.805000e+1    3.175000e-21
+ 1.817000e+1    3.354000e-21
+ 1.829000e+1    3.540000e-21
+ 1.842000e+1    3.731000e-21
+ 1.855000e+1    3.933000e-21
+ 1.868000e+1    4.146000e-21
+ 1.882000e+1    4.367000e-21
+ 1.897000e+1    4.596000e-21
+ 1.912000e+1    4.837000e-21
+ 1.927000e+1    5.089000e-21
+ 1.943000e+1    5.349000e-21
+ 1.960000e+1    5.618000e-21
+ 1.977000e+1    5.897000e-21
+ 1.995000e+1    6.186000e-21
+ 2.013000e+1    6.498000e-21
+ 2.032000e+1    6.826000e-21
+ 2.052000e+1    7.161000e-21
+ 2.073000e+1    7.464000e-21
+ 2.094000e+1    7.777000e-21
+ 2.116000e+1    8.092000e-21
+ 2.138000e+1    8.414000e-21
+ 2.162000e+1    8.757000e-21
+ 2.186000e+1    9.122000e-21
+ 2.211000e+1    9.468000e-21
+ 2.237000e+1    9.786000e-21
+ 2.264000e+1    1.013000e-20
+ 2.292000e+1    1.050000e-20
+ 2.321000e+1    1.085000e-20
+ 2.351000e+1    1.121000e-20
+ 2.382000e+1    1.158000e-20
+ 2.414000e+1    1.197000e-20
+ 2.447000e+1    1.237000e-20
+ 2.482000e+1    1.278000e-20
+ 2.517000e+1    1.317000e-20
+ 2.554000e+1    1.355000e-20
+ 2.592000e+1    1.400000e-20
+ 2.631000e+1    1.440000e-20
+ 2.672000e+1    1.479000e-20
+ 2.715000e+1    1.519000e-20
+ 2.758000e+1    1.560000e-20
+ 2.804000e+1    1.604000e-20
+ 2.850000e+1    1.650000e-20
+ 2.899000e+1    1.699000e-20
+ 2.949000e+1    1.749000e-20
+ 3.001000e+1    1.801000e-20
+ 3.055000e+1    1.844000e-20
+ 3.111000e+1    1.888000e-20
+ 3.168000e+1    1.935000e-20
+ 3.228000e+1    1.981000e-20
+ 3.290000e+1    2.027000e-20
+ 3.354000e+1    2.075000e-20
+ 3.420000e+1    2.123000e-20
+ 3.488000e+1    2.167000e-20
+ 3.559000e+1    2.214000e-20
+ 3.633000e+1    2.255000e-20
+ 3.709000e+1    2.289000e-20
+ 3.787000e+1    2.324000e-20
+ 3.869000e+1    2.351000e-20
+ 3.953000e+1    2.376000e-20
+ 4.040000e+1    2.398000e-20
+ 4.131000e+1    2.416000e-20
+ 4.224000e+1    2.435000e-20
+ 4.321000e+1    2.454000e-20
+ 4.421000e+1    2.474000e-20
+ 4.525000e+1    2.492000e-20
+ 4.632000e+1    2.501000e-20
+ 4.743000e+1    2.509000e-20
+ 4.858000e+1    2.519000e-20
+ 4.978000e+1    2.528000e-20
+ 5.101000e+1    2.544000e-20
+ 5.228000e+1    2.562000e-20
+ 5.360000e+1    2.580000e-20
+ 5.497000e+1    2.600000e-20
+ 5.639000e+1    2.617000e-20
+ 5.785000e+1    2.634000e-20
+ 5.937000e+1    2.652000e-20
+ 6.094000e+1    2.673000e-20
+ 6.256000e+1    2.696000e-20
+ 6.425000e+1    2.719000e-20
+ 6.599000e+1    2.738000e-20
+ 6.779000e+1    2.752000e-20
+ 6.965000e+1    2.767000e-20
+ 7.159000e+1    2.786000e-20
+ 7.358000e+1    2.806000e-20
+ 7.565000e+1    2.823000e-20
+ 7.780000e+1    2.831000e-20
+ 8.001000e+1    2.840000e-20
+ 8.231000e+1    2.845000e-20
+ 8.468000e+1    2.849000e-20
+ 8.714000e+1    2.854000e-20
+ 8.969000e+1    2.859000e-20
+ 9.232000e+1    2.860000e-20
+ 9.505000e+1    2.860000e-20
+ 9.788000e+1    2.854000e-20
+ 1.008000e+2    2.848000e-20
+ 1.038000e+2    2.842000e-20
+ 1.070000e+2    2.836000e-20
+ 1.102000e+2    2.830000e-20
+ 1.136000e+2    2.823000e-20
+ 1.170000e+2    2.816000e-20
+ 1.206000e+2    2.807000e-20
+ 1.243000e+2    2.788000e-20
+ 1.282000e+2    2.769000e-20
+ 1.322000e+2    2.753000e-20
+ 1.363000e+2    2.741000e-20
+ 1.406000e+2    2.727000e-20
+ 1.450000e+2    2.705000e-20
+ 1.496000e+2    2.682000e-20
+ 1.543000e+2    2.654000e-20
+ 1.592000e+2    2.625000e-20
+ 1.643000e+2    2.598000e-20
+ 1.696000e+2    2.572000e-20
+ 1.750000e+2    2.545000e-20
+ 1.807000e+2    2.516000e-20
+ 1.865000e+2    2.478000e-20
+ 1.925000e+2    2.439000e-20
+ 1.988000e+2    2.398000e-20
+ 2.052000e+2    2.367000e-20
+ 2.119000e+2    2.337000e-20
+ 2.189000e+2    2.307000e-20
+ 2.260000e+2    2.275000e-20
+ 2.335000e+2    2.243000e-20
+ 2.412000e+2    2.209000e-20
+ 2.491000e+2    2.174000e-20
+ 2.574000e+2    2.142000e-20
+ 2.659000e+2    2.110000e-20
+ 2.747000e+2    2.076000e-20
+ 2.839000e+2    2.041000e-20
+ 2.933000e+2    2.005000e-20
+ 3.031000e+2    1.969000e-20
+ 3.132000e+2    1.935000e-20
+ 3.237000e+2    1.899000e-20
+ 3.346000e+2    1.862000e-20
+ 3.458000e+2    1.824000e-20
+ 3.575000e+2    1.791000e-20
+ 3.695000e+2    1.759000e-20
+ 3.820000e+2    1.727000e-20
+ 3.949000e+2    1.693000e-20
+ 4.083000e+2    1.659000e-20
+ 4.221000e+2    1.623000e-20
+ 4.364000e+2    1.585000e-20
+ 4.512000e+2    1.548000e-20
+ 4.666000e+2    1.520000e-20
+ 4.824000e+2    1.492000e-20
+ 4.989000e+2    1.462000e-20
+ 5.159000e+2    1.435000e-20
+ 5.335000e+2    1.406000e-20
+ 5.517000e+2    1.377000e-20
+ 5.706000e+2    1.347000e-20
+ 5.901000e+2    1.316000e-20
+ 6.104000e+2    1.285000e-20
+ 6.313000e+2    1.256000e-20
+ 6.530000e+2    1.226000e-20
+ 6.754000e+2    1.194000e-20
+ 6.986000e+2    1.162000e-20
+ 7.226000e+2    1.137000e-20
+ 7.475000e+2    1.112000e-20
+ 7.733000e+2    1.087000e-20
+ 7.999000e+2    1.060000e-20
+ 8.275000e+2    1.039000e-20
+ 8.561000e+2    1.018000e-20
+ 8.857000e+2    9.958000e-21
+ 9.163000e+2    9.736000e-21
+ 9.480000e+2    9.514000e-21
+ 9.808000e+2    9.285000e-21
diff --git a/runs/1D_Cathode/curve_potential.gp b/runs/1D_Cathode/curve_potential.gp
deleted file mode 100644
index 9db840c..0000000
--- a/runs/1D_Cathode/curve_potential.gp
+++ /dev/null
@@ -1,22 +0,0 @@
-#Export the potential curves from Gmsh into a txt file.
-reset
-set terminal qt persist enhanced 1 size 600, 400
-
-set style line 1 pt 1 lc rgb "red"
-set style line 2 pt 2 lc rgb "blue"
-set style line 3 pt 4 lc rgb "#006400"
-set style line 4 pt 6 lc rgb "orange"
-set style line 5 pt 8 lc rgb "black"
-set style line 6 pt 10 lc rgb "#ADD8E6"
-
-set xlabel "x/r (mm)"
-
-set autoscale y
-set ylabel "Potential (V)"
-
-set key box at 90,-10
-
-set title "Effect of geometry"
-
-plot "Cartesian.dat" u ($5*1e3):($8) every 100 ls 1 t "Cartesian", \
-     "Radial.dat"    u ($5*1e3):($8) every 100 ls 2 t "Radial"

From ae8aa9075eefa7ebc01b9cbeb116b257fc2805c3 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 9 Dec 2022 09:54:44 +0100
Subject: [PATCH 050/203] Change in calculation of reduced mass and relative
 energy

Now reduced mass and relative energy are calculated on the fly per
collision.
---
 src/modules/mesh/moduleMesh.f90  | 6 ++++--
 src/modules/moduleCollisions.f90 | 8 ++------
 2 files changed, 6 insertions(+), 8 deletions(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 142b78d..ebbbed4 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -660,6 +660,7 @@ MODULE moduleMesh
       use moduleRefParam
       USE moduleRandom
       USE moduleOutput
+      USE moduleMath
       IMPLICIT NONE
 
       CLASS(meshGeneric), INTENT(inout), TARGET:: self
@@ -673,7 +674,7 @@ MODULE moduleMesh
       TYPE(pointerArray), ALLOCATABLE:: partTemp_i(:), partTemp_j(:)
       TYPE(particle), POINTER:: part_i, part_j
       INTEGER:: n, c
-      REAL(8):: vRel, eRel
+      REAL(8):: vRel, rMass, eRel
       REAL(8):: sigmaVrelTotal
       REAL(8), ALLOCATABLE:: sigmaVrel(:), probabilityColl(:)
       REAL(8):: rnd !Random number for collision
@@ -749,7 +750,8 @@ MODULE moduleMesh
                   !Obtain the cross sections for the different processes
                   !TODO: From here it might be a procedure in interactionMatrix
                   vRel = NORM2(part_i%v-part_j%v)
-                  eRel = interactionMatrix(k)%rMass*vRel**2
+                  rMass = reducedMass(part_i%weight*part_i%species%m, part_j%weight*part_j%species%m)
+                  eRel = rMass*vRel**2
                   CALL interactionMatrix(k)%getSigmaVrel(vRel, eRel, sigmaVrelTotal, sigmaVrel)
 
                   !Update maximum sigma*v_rel
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index 47cace6..3c241c1 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -70,7 +70,6 @@ MODULE moduleCollisions
     CLASS(speciesGeneric), POINTER:: sp_i
     CLASS(speciesGeneric), POINTER:: sp_j
     INTEGER:: amount
-    REAL(8):: rMass !Reduced mass
     TYPE(collisionCont), ALLOCATABLE:: collisions(:)
     CONTAINS
       PROCEDURE, PASS:: init => initInteractionBinary
@@ -133,7 +132,6 @@ MODULE moduleCollisions
       ALLOCATE(interactionMatrix(1:nCollPairs))
 
       interactionMatrix(:)%amount = 0
-      interactionMatrix(:)%rMass = 0.D0
 
     END SUBROUTINE initInteractionMatrix
 
@@ -169,8 +167,6 @@ MODULE moduleCollisions
       mass_i = species(i)%obj%m
       mass_j = species(j)%obj%m
 
-      self%rMass = reducedMass(mass_i, mass_j)
-
       ALLOCATE(self%collisions(1:self%amount))
 
     END SUBROUTINE initInteractionBinary
@@ -234,7 +230,7 @@ MODULE moduleCollisions
       m_i = part_i%species%m
       m_j = part_j%species%m
       !Applies the collision
-      vCM = velocityCM(m_i, part_i%v, m_j, part_j%v)
+      vCM = velocityCM(part_i%weight*m_i, part_i%v, part_j%weight*m_j, part_j%v)
       vp  = vRel*randomDirectionVHS()
 
       !Assign velocities to particles
@@ -311,7 +307,7 @@ MODULE moduleCollisions
       REAL(8), DIMENSION(1:3):: vChange
       TYPE(particle), POINTER:: newElectron
 
-      rMass = reducedMass(part_i%species%m, part_j%species%m)
+      rMass = reducedMass(part_i%weight*part_i%species%m, part_j%weight*part_j%species%m)
       eRel = rMass*vRel**2
       !Relative energy must be higher than threshold
       IF (eRel > self%eThreshold) THEN

From 8dd3023bc06a498f146b7cf37c20506134f913db Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 9 Dec 2022 16:05:32 +0100
Subject: [PATCH 051/203] Documentation change and testing examples

Documentation adapted to the new way to define geometry and pushers.

Examples are currently being tested and small modifications are being
done to include a reference output.
---
 doc/user-manual/fpakc_UserManual.pdf          |  Bin 173252 -> 175069 bytes
 doc/user-manual/fpakc_UserManual.tex          |   70 +-
 runs/0D_Argon/README.txt                      |   11 +
 runs/0D_Argon/input.json                      |    4 +-
 runs/0D_Argon/output/OUTPUT_Argon+.dat        | 1002 +++++++++++++++++
 runs/0D_Argon/output/OUTPUT_Argon.dat         | 1002 +++++++++++++++++
 runs/0D_Argon/output/OUTPUT_Collisions.dat    | 1002 +++++++++++++++++
 ...rve_Temperature.gp => plot_Temperature.gp} |    7 +-
 runs/1D_Cathode/README.txt                    |    8 +
 runs/1D_Cathode/inputCart.json                |   17 +-
 runs/1D_Cathode/inputRadEmission.json         |   15 +-
 src/modules/moduleInput.f90                   |    1 -
 12 files changed, 3075 insertions(+), 64 deletions(-)
 create mode 100644 runs/0D_Argon/README.txt
 create mode 100644 runs/0D_Argon/output/OUTPUT_Argon+.dat
 create mode 100644 runs/0D_Argon/output/OUTPUT_Argon.dat
 create mode 100644 runs/0D_Argon/output/OUTPUT_Collisions.dat
 rename runs/0D_Argon/{curve_Temperature.gp => plot_Temperature.gp} (82%)
 create mode 100644 runs/1D_Cathode/README.txt

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index c52ee8b945a563a506fe53dc7c7c83a5cf04e8ff..d9d863c5ce4f8b8348eaea746d01fb830cb90017 100644
GIT binary patch
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C02ECC

diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index 6e43115..935c01c 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -405,28 +405,30 @@ make
         The object \textbf{geometry} contains information about the type of geometry, the mesh file format and the mesh filename.
         The accepted parameters are:
         \begin{itemize}
-          \item \textbf{type}: Character. 
+          \item \textbf{dimension}: Integer.
+                                    Number of spatial dimensions of the geometry.
+                                    Current values are: $0$, $1$, $2$ or $3$.
+                                    Zero dimension is a fictitious volume.
+                                    Geometry used mostly to test collisional effects.
+                                    No boundary or EM field is solved.
+                                    No injection can be implemented.
+                                    Initial state must be read from file.
+                                    No mesh file is required.
+                                    The optional argument \textbf{geometry.volume} can be used to set a value for the fictitious volume.
+                                    Otherwise, the volume is set to 1 in non-dimensional units.
+          \item \textbf{type}: Character.
                                Type of geometry.
                                Current accepted vaules are
                                \begin{itemize}
-                                 \item \textbf{3DCart}: Three-dimensional grid ($x \hyphen y \hyphen z$) in Cartesian coordinates..
-                                                        For \Gls{gmsh} mesh format, the coordinates $x$, $y$ and $z$ correspond to $x$, $y$ and $z$ respectively.
-                                 \item \textbf{2DCyl}:  Two-dimensional grid ($z \hyphen r$) with symmetry axis at $r = 0$.
-                                                        For \Gls{gmsh} mesh format, the coordinates $x$ and $y$ correspond to  $z$ and $r$ respectively.
-                                 \item \textbf{2DCart}: Two-dimensional grid ($x \hyphen y$) in Cartesian coordinates..
-                                                        For \Gls{gmsh} mesh format, the coordinates $x$ and $y$ correspond to  $x$ and $y$ respectively.
-                                 \item \textbf{1DRad}:  One-dimensional grid ($r$) in radial coordinates
-                                                        For \Gls{gmsh} mesh format, the coordinates $x$ corresponds to $r$.
-                                 \item \textbf{1DCart}: One-dimensional grid ($x$) in Cartesian coordinates
-                                                        For \Gls{gmsh} mesh format, the coordinates $x$ corresponds to $x$.
-                                 \item \textbf{0D}:     Zero dimension ficticius volume.
-                                                        Geometry used mostly to test collisional effects.
-                                                        No boundary or EM field is solved.
-                                                        No injection can be implemented.
-                                                        Initial state must be read from file.
-                                                        No mesh file is required.
-                                                        The optional argument \textbf{geometry.volume} can be used to set a ficticius volume.
-                                                        Otherwise, the volume is set to 1 in non-dimensional units.
+                                 \item \textbf{Cart}: Cartesian coordinates.
+                                                      Available for \textbf{geometry.dimension} $1$, $2$ and $3$.
+                                                      For \Gls{gmsh} mesh format, the coordinates $x$, $y$ and $z$ correspond to $x$, $y$ and $z$ respectively.
+                                 \item \textbf{Cyl}:  Cylindrical coordinates ($z \hyphen r$) with symmetry axis at $r = 0$.
+                                                      Only available for \textbf{geometry.dimension} $2$.
+                                                      For \Gls{gmsh} mesh format, the coordinates $x$ and $y$ correspond to  $z$ and $r$ respectively.
+                                 \item \textbf{Rad}:  One-dimensional radial space ($r$).
+                                                      Only available for \textbf{geometry.dimension} $1$.
+                                                      For \Gls{gmsh} mesh format, the coordinates $x$ corresponds to $r$.
                                \end{itemize}
           \item \textbf{meshType}: Character.
                                    Format of mesh file.
@@ -437,9 +439,9 @@ make
           \item \textbf{meshFile}: Character.
                                    Mesh filename.
                                    This file is searched in the path \textbf{output.path} and must contain the file extension.
-          \item \textbf{volume}:   Real
+          \item \textbf{volume}:   Real.
                                    Units of $\unit{m^-3}$.
-                                   Used to set a ficticius volume for the \textbf{0D} geometry.
+                                   Used to set a fictitious volume for the $0$ dimension.
                                    Ignored in the other cases.
         \end{itemize}
 
@@ -624,11 +626,12 @@ make
         \end{itemize}
       
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-      \subsection{case}
-        This object determines the simulation time, time step, pushers, weighting scheme and solver for the electromagnetic field.
+      \subsection{solver}
+        This object determines the input parameters for the solvers used in the case, both for particle pushers and electromagnetic field.
         Accepted variables are:
         \begin{itemize}
           \item \textbf{tau}: Real.
+                              Units of $\unit{s}$.
                               Array dimension 'number of species'.
                               Defines the different time steps for each species.
                               Even if all time steps are equal, they need to be defined as an array.
@@ -643,18 +646,9 @@ make
                                  Array dimension 'number of species'.
                                  Indicates the type of pusher used for each species:
                                  \begin{itemize}
-                                   \item \textbf{3DCartNeutral}: Pushes particles in a 3D Cartesian space ($x \hyphen y \hyphen z$) without any external force.
-                                   \item \textbf{3DCartCharged}: Pushes particles in a 3D Cartesian space ($x \hyphen y \hyphen z$) including the effect of the electrostatic field.
-                                   \item \textbf{2DCylNeutral}:  Pushes particles in a 2D cylindrical space ($z \hyphen r$) without any external force.
-                                   \item \textbf{2DCylCharged}:  Pushes particles in a 2D cylindrical space ($z \hyphen r$) including the effect of the electrostatic field.
-                                   \item \textbf{2DCartNeutral}: Pushes particles in a 2D Cartesian space ($x \hyphen y$) without any external force.
-                                   \item \textbf{2DCartCharged}: Pushes particles in a 2D Cartesian space ($x \hyphen y$) including the effect of the electrostatic field.
-                                   \item \textbf{1DRadNeutral}:  Pushes particles in a 1D cylindrical space ($r$) without any external force.
-                                   \item \textbf{1DRadCharged}:  Pushes particles in a 1D cylindrical space ($r$) accounting the the electrostatic field.
-                                   \item \textbf{1DCartNeutral}: Pushes particles in a 1D Cartesian space ($x$) without any external force.
-                                   \item \textbf{1DCartCharged}: Pushes particles in a 1D Cartesian space ($x$) accounting the the electrostatic field.
-                                   \item \textbf{0D}:            Dummy pusher for 0D geometry.
-                                                                 No pushing is actually done.
+                                   \item \textbf{Neutral}: Pushes a particle without any external force.
+                                   \item \textbf{Electrostatic}: Pushes a particle including the effect of the electrostatic field.
+                                   \item \textbf{Electromagnetic}: Pushes particles accounting for the electromagnetic field.
                                  \end{itemize}
           \item \textbf{WeightingScheme}: Character.
                                           Indicates the variable weighting scheme to be used in the simulation.
@@ -669,7 +663,13 @@ make
                                    If no value is supplied, no field is solved.
                                    \begin{itemize}
                                       \item \textbf{Electrostatic}: Solves the Poison equation to obtain the self-consistent electrostatic potential.
+                                      \item \textbf{ConstantB}: Assumes a constant magnetic field in all the domain.
+                                                                It solves the Poisson equation as in the \textbf{solver.EMSolver} option.
                                    \end{itemize}
+          \item \textbf{B}: Real.
+                            Units of $\unit{T}$.
+                            Array of dimension $3$.
+                            Provides the value of constant magnetic field for the option \textbf{solver.EMSolver} \textbf{ConstantB}.
           \item \textbf{initial}: Array of objects.
                                   Determines initial values for the species.
                                   Required values are:
diff --git a/runs/0D_Argon/README.txt b/runs/0D_Argon/README.txt
new file mode 100644
index 0000000..f44ff5d
--- /dev/null
+++ b/runs/0D_Argon/README.txt
@@ -0,0 +1,11 @@
+Example of 0D geometry.
+
+Mostly used to test collision processes.
+
+This example includes Ar and Ar+ with self-collisions for Ar and elastic collisions for AR-Ar+.
+
+Different starting temperatures for each species that end up in equilibrium.
+
+The gnuplpot script 'plot_Temperature.gp' generates a plot of the species temperatures.
+
+The result is provided in the output folder to compare if modifications to the code are made.
diff --git a/runs/0D_Argon/input.json b/runs/0D_Argon/input.json
index 6af25d0..5defe89 100644
--- a/runs/0D_Argon/input.json
+++ b/runs/0D_Argon/input.json
@@ -21,8 +21,8 @@
     {"name": "Argon",  "type": "neutral", "mass": 6.633e-26,                "weight": 1.0e0}
   ],
   "solver": {
-    "tau":  [1.0e-6, 1.0e-6],
-    "finalTime": 1.0e-3,
+    "tau":  [1.0e-3, 1.0e-3],
+    "finalTime": 1.0e0,
     "initial": [
       {"species": "Argon+", "file": "Argon+_Initial.dat"},
       {"species": "Argon",  "file": "Argon_Initial.dat"}
diff --git a/runs/0D_Argon/output/OUTPUT_Argon+.dat b/runs/0D_Argon/output/OUTPUT_Argon+.dat
new file mode 100644
index 0000000..d2ae64e
--- /dev/null
+++ b/runs/0D_Argon/output/OUTPUT_Argon+.dat
@@ -0,0 +1,1002 @@
+#              t (s)      density (m^-3)                                              velocity (m/s)       pressure (Pa)     temperature (K)
+       0.000000E+000       1.000000E+016       5.266957E+000       1.909452E+000       1.384590E+000       4.135248E-004       2.995149E+003
+       1.000000E-003       1.000000E+016       4.975835E+000       1.800698E+000       1.604451E+000       4.105059E-004       2.973283E+003
+       2.000000E-003       1.000000E+016       4.341542E+000       1.924445E+000       2.184675E+000       4.003290E-004       2.899572E+003
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+       9.150000E-001       1.000000E+016       1.664863E+000       1.274496E+000      -3.329507E-001       2.269095E-004       1.643499E+003
+       9.160000E-001       1.000000E+016       1.983145E+000       3.182700E-001      -4.037307E-001       2.267229E-004       1.642148E+003
+       9.170000E-001       1.000000E+016       2.459586E+000       5.171595E-001      -5.027205E-001       2.267602E-004       1.642418E+003
+       9.180000E-001       1.000000E+016       1.966535E+000       1.210641E+000       5.823183E-001       2.268869E-004       1.643335E+003
+       9.190000E-001       1.000000E+016       1.382880E+000       6.246515E-001       5.248321E-001       2.270926E-004       1.644825E+003
+       9.200000E-001       1.000000E+016       2.032796E+000       3.010807E-001       1.292049E+000       2.271032E-004       1.644903E+003
+       9.210000E-001       1.000000E+016       2.729480E+000       9.379540E-001       1.671028E+000       2.272129E-004       1.645697E+003
+       9.220000E-001       1.000000E+016       2.660297E+000       6.635360E-001       1.569874E+000       2.274115E-004       1.647136E+003
+       9.230000E-001       1.000000E+016       2.660354E+000       6.862286E-001       1.759058E+000       2.274542E-004       1.647445E+003
+       9.240000E-001       1.000000E+016       3.047438E+000       3.406978E-001       1.097397E+000       2.276422E-004       1.648806E+003
+       9.250000E-001       1.000000E+016       2.794311E+000      -2.394730E-001       1.301869E+000       2.275827E-004       1.648376E+003
+       9.260000E-001       1.000000E+016       1.745962E+000       1.601308E-001       1.220355E+000       2.274229E-004       1.647218E+003
+       9.270000E-001       1.000000E+016       2.127216E+000       4.889188E-002       8.385136E-001       2.272060E-004       1.645647E+003
+       9.280000E-001       1.000000E+016       2.138947E+000       6.262492E-001       7.058490E-001       2.273690E-004       1.646828E+003
+       9.290000E-001       1.000000E+016       1.816350E+000       4.511326E-001       7.265319E-001       2.274738E-004       1.647586E+003
+       9.300000E-001       1.000000E+016       1.956541E+000       5.434720E-001       1.451366E+000       2.274420E-004       1.647356E+003
+       9.310000E-001       1.000000E+016       2.019174E+000       3.819173E-001       1.597350E+000       2.274328E-004       1.647290E+003
+       9.320000E-001       1.000000E+016       2.277175E+000       4.374374E-001       1.754203E+000       2.274497E-004       1.647412E+003
+       9.330000E-001       1.000000E+016       2.325340E+000       1.391983E+000       2.032461E+000       2.277621E-004       1.649675E+003
+       9.340000E-001       1.000000E+016       2.185075E+000       1.134753E+000       1.832764E+000       2.275085E-004       1.647838E+003
+       9.350000E-001       1.000000E+016       1.843794E+000       8.327341E-001       2.293666E+000       2.273709E-004       1.646841E+003
+       9.360000E-001       1.000000E+016       1.052934E+000       1.103430E+000       2.444944E+000       2.276721E-004       1.649023E+003
+       9.370000E-001       1.000000E+016       1.226550E+000       1.920833E+000       2.994330E+000       2.278230E-004       1.650116E+003
+       9.380000E-001       1.000000E+016       1.632072E+000       2.178152E+000       3.420362E+000       2.277598E-004       1.649658E+003
+       9.390000E-001       1.000000E+016       1.655650E+000       1.677883E+000       2.832979E+000       2.276582E-004       1.648922E+003
+       9.400000E-001       1.000000E+016       1.786595E+000       2.097783E+000       2.439021E+000       2.278156E-004       1.650062E+003
+       9.410000E-001       1.000000E+016       1.952889E+000       2.251063E+000       3.079429E+000       2.278611E-004       1.650392E+003
+       9.420000E-001       1.000000E+016       1.796378E+000       1.556387E+000       3.345281E+000       2.277996E-004       1.649947E+003
+       9.430000E-001       1.000000E+016       1.546912E+000       1.155784E+000       3.096271E+000       2.278159E-004       1.650064E+003
+       9.440000E-001       1.000000E+016       5.674548E-001       1.243721E+000       3.366895E+000       2.279883E-004       1.651313E+003
+       9.450000E-001       1.000000E+016       3.567153E-001       1.305155E+000       3.144599E+000       2.279604E-004       1.651111E+003
+       9.460000E-001       1.000000E+016       1.180090E+000       1.576200E+000       3.417613E+000       2.279449E-004       1.650999E+003
+       9.470000E-001       1.000000E+016       1.103737E+000       1.659161E+000       3.764953E+000       2.278197E-004       1.650092E+003
+       9.480000E-001       1.000000E+016       1.316777E+000       2.392037E+000       3.741838E+000       2.277635E-004       1.649685E+003
+       9.490000E-001       1.000000E+016       1.077935E+000       2.133001E+000       3.477578E+000       2.278243E-004       1.650126E+003
+       9.500000E-001       1.000000E+016       9.257905E-001       2.027034E+000       2.647954E+000       2.277015E-004       1.649236E+003
+       9.510000E-001       1.000000E+016       1.022644E+000       2.763538E+000       2.119601E+000       2.277716E-004       1.649744E+003
+       9.520000E-001       1.000000E+016       9.276860E-001       2.354107E+000       1.943920E+000       2.276542E-004       1.648893E+003
+       9.530000E-001       1.000000E+016       1.294948E+000       2.603144E+000       1.480093E+000       2.275575E-004       1.648193E+003
+       9.540000E-001       1.000000E+016       1.757176E+000       2.733137E+000       2.590308E+000       2.277216E-004       1.649382E+003
+       9.550000E-001       1.000000E+016       1.598178E+000       3.356973E+000       2.108210E+000       2.278690E-004       1.650449E+003
+       9.560000E-001       1.000000E+016       2.221869E+000       3.183158E+000       1.323409E+000       2.280107E-004       1.651475E+003
+       9.570000E-001       1.000000E+016       1.672656E+000       2.899878E+000       9.265492E-001       2.278361E-004       1.650210E+003
+       9.580000E-001       1.000000E+016       1.739789E+000       2.824101E+000       2.072609E-001       2.277325E-004       1.649461E+003
+       9.590000E-001       1.000000E+016       2.492254E+000       2.219398E+000       9.329805E-001       2.277830E-004       1.649826E+003
+       9.600000E-001       1.000000E+016       2.001001E+000       2.609775E+000       5.593966E-001       2.277264E-004       1.649416E+003
+       9.610000E-001       1.000000E+016       2.643493E+000       3.174945E+000       3.788301E-001       2.275304E-004       1.647997E+003
+       9.620000E-001       1.000000E+016       3.096416E+000       3.825978E+000      -8.091664E-001       2.276911E-004       1.649160E+003
+       9.630000E-001       1.000000E+016       3.038518E+000       3.493376E+000      -6.418556E-001       2.278431E-004       1.650261E+003
+       9.640000E-001       1.000000E+016       3.463607E+000       4.083745E+000      -1.164137E+000       2.277356E-004       1.649483E+003
+       9.650000E-001       1.000000E+016       3.205053E+000       3.834184E+000      -6.935910E-001       2.277879E-004       1.649862E+003
+       9.660000E-001       1.000000E+016       2.575165E+000       3.441585E+000      -7.616509E-001       2.277525E-004       1.649605E+003
+       9.670000E-001       1.000000E+016       2.666282E+000       2.590031E+000      -1.385213E+000       2.276166E-004       1.648621E+003
+       9.680000E-001       1.000000E+016       2.420337E+000       3.041363E+000      -1.393537E+000       2.275686E-004       1.648273E+003
+       9.690000E-001       1.000000E+016       3.155628E+000       2.950183E+000      -1.170999E+000       2.276948E-004       1.649187E+003
+       9.700000E-001       1.000000E+016       3.813026E+000       3.414767E+000      -9.928719E-001       2.278098E-004       1.650020E+003
+       9.710000E-001       1.000000E+016       4.501745E+000       3.742768E+000      -1.130613E+000       2.278696E-004       1.650453E+003
+       9.720000E-001       1.000000E+016       4.027655E+000       4.142076E+000      -8.385081E-001       2.280357E-004       1.651657E+003
+       9.730000E-001       1.000000E+016       3.642028E+000       3.579695E+000      -1.944921E+000       2.278879E-004       1.650586E+003
+       9.740000E-001       1.000000E+016       3.408944E+000       3.417957E+000      -1.802315E+000       2.277425E-004       1.649533E+003
+       9.750000E-001       1.000000E+016       3.473039E+000       3.249641E+000      -2.413932E+000       2.275649E-004       1.648247E+003
+       9.760000E-001       1.000000E+016       3.314476E+000       3.265381E+000      -2.768552E+000       2.275306E-004       1.647998E+003
+       9.770000E-001       1.000000E+016       2.293859E+000       2.674310E+000      -2.273578E+000       2.275447E-004       1.648100E+003
+       9.780000E-001       1.000000E+016       2.365614E+000       2.505832E+000      -2.286859E+000       2.276543E-004       1.648894E+003
+       9.790000E-001       1.000000E+016       2.938799E+000       2.743499E+000      -1.629882E+000       2.276187E-004       1.648636E+003
+       9.800000E-001       1.000000E+016       3.105140E+000       3.223200E+000      -1.003155E+000       2.276414E-004       1.648800E+003
+       9.810000E-001       1.000000E+016       3.020716E+000       2.698343E+000      -1.142528E+000       2.276785E-004       1.649069E+003
+       9.820000E-001       1.000000E+016       2.427487E+000       2.493436E+000      -1.043368E+000       2.275061E-004       1.647820E+003
+       9.830000E-001       1.000000E+016       1.906331E+000       1.797409E+000      -1.545285E+000       2.276904E-004       1.649155E+003
+       9.840000E-001       1.000000E+016       1.752798E+000       1.643951E+000      -1.766212E+000       2.276146E-004       1.648606E+003
+       9.850000E-001       1.000000E+016       1.390217E+000       1.920669E+000      -8.775968E-001       2.275129E-004       1.647870E+003
+       9.860000E-001       1.000000E+016       9.823076E-001       1.444309E+000      -3.214598E-001       2.275911E-004       1.648436E+003
+       9.870000E-001       1.000000E+016       1.071686E+000       1.572958E+000      -2.392114E-001       2.275690E-004       1.648276E+003
+       9.880000E-001       1.000000E+016       8.770885E-001       1.223027E+000       5.902093E-001       2.275964E-004       1.648474E+003
+       9.890000E-001       1.000000E+016       1.456353E+000       7.053844E-001       2.197374E-001       2.276685E-004       1.648997E+003
+       9.900000E-001       1.000000E+016       1.006801E+000       1.245652E+000      -8.489194E-002       2.276513E-004       1.648872E+003
+       9.910000E-001       1.000000E+016       9.095643E-002       8.668681E-001      -5.316980E-001       2.277608E-004       1.649665E+003
+       9.920000E-001       1.000000E+016       1.211438E-001       1.338865E+000      -1.095434E+000       2.282197E-004       1.652989E+003
+       9.930000E-001       1.000000E+016       1.823419E-001       1.452697E+000      -8.333580E-001       2.284135E-004       1.654393E+003
+       9.940000E-001       1.000000E+016       3.791118E-002       1.612857E+000      -1.791229E-001       2.282703E-004       1.653356E+003
+       9.950000E-001       1.000000E+016       6.448832E-001       1.791987E+000      -1.112421E-001       2.283244E-004       1.653747E+003
+       9.960000E-001       1.000000E+016       6.718788E-001       1.582254E+000      -4.863000E-001       2.282043E-004       1.652878E+003
+       9.970000E-001       1.000000E+016       9.289463E-001       6.075421E-001      -8.694604E-001       2.282879E-004       1.653483E+003
+       9.980000E-001       1.000000E+016       8.066482E-001       3.068856E-001      -8.779851E-001       2.280336E-004       1.651641E+003
+       9.990000E-001       1.000000E+016       7.324270E-001       1.140063E+000      -5.821453E-001       2.279548E-004       1.651070E+003
+       1.000000E+000       1.000000E+016       8.804202E-001       8.577411E-001      -5.670076E-001       2.279363E-004       1.650936E+003
diff --git a/runs/0D_Argon/output/OUTPUT_Argon.dat b/runs/0D_Argon/output/OUTPUT_Argon.dat
new file mode 100644
index 0000000..904f7f6
--- /dev/null
+++ b/runs/0D_Argon/output/OUTPUT_Argon.dat
@@ -0,0 +1,1002 @@
+#              t (s)      density (m^-3)                                              velocity (m/s)       pressure (Pa)     temperature (K)
+       0.000000E+000       1.000000E+016      -6.784812E-001       3.236207E-001       1.496118E-001       4.142019E-005       3.000053E+002
+       1.000000E-003       1.000000E+016      -8.944345E-001       1.360688E-001      -3.648118E-001       4.466062E-005       3.234756E+002
+       2.000000E-003       1.000000E+016      -2.601407E-001       1.232222E-002      -9.450358E-001       5.483826E-005       3.971921E+002
+       3.000000E-003       1.000000E+016       1.105104E-001      -5.691046E-002      -1.431592E-001       6.539497E-005       4.736540E+002
+       4.000000E-003       1.000000E+016       3.189683E-001      -8.966818E-001      -3.064282E-001       7.475548E-005       5.414519E+002
+       5.000000E-003       1.000000E+016       1.151042E+000      -1.117330E+000       3.434599E-002       8.436281E-005       6.110376E+002
+       6.000000E-003       1.000000E+016       1.687467E+000      -8.781779E-001      -3.901417E-001       9.287338E-005       6.726794E+002
+       7.000000E-003       1.000000E+016       1.258969E+000      -5.198896E-001      -9.744919E-001       1.008778E-004       7.306552E+002
+       8.000000E-003       1.000000E+016       1.965758E+000      -3.206148E-001      -7.754320E-001       1.084846E-004       7.857508E+002
+       9.000000E-003       1.000000E+016       2.054370E+000      -1.004598E-001       4.107619E-001       1.156690E-004       8.377873E+002
+       1.000000E-002       1.000000E+016       2.505815E+000      -5.961476E-001       6.643422E-001       1.222886E-004       8.857332E+002
+       1.100000E-002       1.000000E+016       2.525613E+000      -7.033835E-001       6.519998E-001       1.283761E-004       9.298244E+002
+       1.200000E-002       1.000000E+016       2.858818E+000      -7.246936E-001       9.068923E-001       1.340828E-004       9.711579E+002
+       1.300000E-002       1.000000E+016       2.305734E+000      -8.797270E-001       1.334645E+000       1.394238E-004       1.009843E+003
+       1.400000E-002       1.000000E+016       2.501637E+000      -9.905604E-002       1.497680E+000       1.445497E-004       1.046969E+003
+       1.500000E-002       1.000000E+016       3.015544E+000      -1.769057E-001       1.306074E+000       1.495040E-004       1.082854E+003
+       1.600000E-002       1.000000E+016       3.016765E+000      -6.140479E-001       4.296505E-001       1.541885E-004       1.116783E+003
+       1.700000E-002       1.000000E+016       2.334021E+000      -4.460430E-001      -8.628476E-003       1.581278E-004       1.145315E+003
+       1.800000E-002       1.000000E+016       2.870996E+000      -3.596613E-001      -5.271487E-001       1.622814E-004       1.175400E+003
+       1.900000E-002       1.000000E+016       3.292702E+000      -8.120271E-001      -4.620794E-001       1.662206E-004       1.203932E+003
+       2.000000E-002       1.000000E+016       2.847188E+000      -7.996316E-001       2.134743E-001       1.696360E-004       1.228669E+003
+       2.100000E-002       1.000000E+016       3.593703E+000      -3.706158E-001      -2.462802E-001       1.730176E-004       1.253162E+003
+       2.200000E-002       1.000000E+016       3.449858E+000      -1.322268E+000      -1.310595E+000       1.761428E-004       1.275797E+003
+       2.300000E-002       1.000000E+016       3.285855E+000      -1.213308E+000      -1.369814E+000       1.794785E-004       1.299958E+003
+       2.400000E-002       1.000000E+016       2.459617E+000      -6.276406E-001      -1.080340E+000       1.823353E-004       1.320650E+003
+       2.500000E-002       1.000000E+016       2.731298E+000      -5.576915E-001      -1.278471E+000       1.848330E-004       1.338740E+003
+       2.600000E-002       1.000000E+016       2.583431E+000      -3.744233E-001      -1.248627E+000       1.872356E-004       1.356142E+003
+       2.700000E-002       1.000000E+016       2.262448E+000      -1.038004E-001      -1.103530E+000       1.894356E-004       1.372077E+003
+       2.800000E-002       1.000000E+016       2.571457E+000       7.771204E-003      -1.419670E+000       1.917038E-004       1.388506E+003
+       2.900000E-002       1.000000E+016       2.794514E+000       5.637903E-001      -1.899995E+000       1.937678E-004       1.403455E+003
+       3.000000E-002       1.000000E+016       2.617601E+000       8.252450E-001      -1.869813E+000       1.954328E-004       1.415515E+003
+       3.100000E-002       1.000000E+016       3.297785E+000       1.315604E+000      -1.853322E+000       1.975460E-004       1.430820E+003
+       3.200000E-002       1.000000E+016       3.821601E+000       1.771957E+000      -1.777295E+000       1.990596E-004       1.441783E+003
+       3.300000E-002       1.000000E+016       4.198803E+000       1.896601E+000      -2.091234E+000       2.008322E-004       1.454622E+003
+       3.400000E-002       1.000000E+016       4.613186E+000       2.539719E+000      -2.189323E+000       2.023045E-004       1.465286E+003
+       3.500000E-002       1.000000E+016       4.295862E+000       1.484353E+000      -3.178389E+000       2.037968E-004       1.476095E+003
+       3.600000E-002       1.000000E+016       4.215466E+000       7.455536E-001      -2.963632E+000       2.051095E-004       1.485603E+003
+       3.700000E-002       1.000000E+016       3.730708E+000       8.381467E-001      -3.367532E+000       2.067613E-004       1.497566E+003
+       3.800000E-002       1.000000E+016       4.003432E+000       1.159448E+000      -3.160512E+000       2.079888E-004       1.506457E+003
+       3.900000E-002       1.000000E+016       4.001500E+000       1.125703E+000      -3.675711E+000       2.094344E-004       1.516928E+003
+       4.000000E-002       1.000000E+016       4.185771E+000       8.927244E-001      -3.075371E+000       2.106373E-004       1.525640E+003
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+       9.550000E-001       1.000000E+016       2.483223E+000      -1.420206E+000      -8.685711E-001       2.272985E-004       1.646317E+003
+       9.560000E-001       1.000000E+016       1.859532E+000      -1.246392E+000      -8.377072E-002       2.271580E-004       1.645299E+003
+       9.570000E-001       1.000000E+016       2.408745E+000      -9.631111E-001       3.130896E-001       2.273333E-004       1.646569E+003
+       9.580000E-001       1.000000E+016       2.341612E+000      -8.873339E-001       1.032378E+000       2.274369E-004       1.647319E+003
+       9.590000E-001       1.000000E+016       1.589147E+000      -2.826308E-001       3.066583E-001       2.273873E-004       1.646960E+003
+       9.600000E-001       1.000000E+016       2.080399E+000      -6.730083E-001       6.802421E-001       2.274435E-004       1.647367E+003
+       9.610000E-001       1.000000E+016       1.437908E+000      -1.238178E+000       8.608087E-001       2.276383E-004       1.648778E+003
+       9.620000E-001       1.000000E+016       9.849848E-001      -1.889211E+000       2.048805E+000       2.274750E-004       1.647595E+003
+       9.630000E-001       1.000000E+016       1.042883E+000      -1.556609E+000       1.881494E+000       2.273240E-004       1.646502E+003
+       9.640000E-001       1.000000E+016       6.177943E-001      -2.146979E+000       2.403776E+000       2.274289E-004       1.647261E+003
+       9.650000E-001       1.000000E+016       8.763481E-001      -1.897417E+000       1.933230E+000       2.273782E-004       1.646894E+003
+       9.660000E-001       1.000000E+016       1.506236E+000      -1.504818E+000       2.001290E+000       2.274149E-004       1.647160E+003
+       9.670000E-001       1.000000E+016       1.415118E+000      -6.532643E-001       2.624852E+000       2.275514E-004       1.648148E+003
+       9.680000E-001       1.000000E+016       1.661064E+000      -1.104596E+000       2.633176E+000       2.275988E-004       1.648492E+003
+       9.690000E-001       1.000000E+016       9.257727E-001      -1.013416E+000       2.410638E+000       2.274726E-004       1.647578E+003
+       9.700000E-001       1.000000E+016       2.683744E-001      -1.478000E+000       2.232511E+000       2.273561E-004       1.646734E+003
+       9.710000E-001       1.000000E+016      -4.203438E-001      -1.806001E+000       2.370251E+000       2.272940E-004       1.646285E+003
+       9.720000E-001       1.000000E+016       5.374589E-002      -2.205309E+000       2.078147E+000       2.271282E-004       1.645083E+003
+       9.730000E-001       1.000000E+016       4.393732E-001      -1.642928E+000       3.184559E+000       2.272762E-004       1.646155E+003
+       9.740000E-001       1.000000E+016       6.724564E-001      -1.481190E+000       3.041954E+000       2.274225E-004       1.647215E+003
+       9.750000E-001       1.000000E+016       6.083621E-001      -1.312874E+000       3.653570E+000       2.275989E-004       1.648492E+003
+       9.760000E-001       1.000000E+016       7.669250E-001      -1.328614E+000       4.008190E+000       2.276324E-004       1.648735E+003
+       9.770000E-001       1.000000E+016       1.787542E+000      -7.375433E-001       3.513217E+000       2.276214E-004       1.648655E+003
+       9.780000E-001       1.000000E+016       1.715787E+000      -5.690647E-001       3.526498E+000       2.275119E-004       1.647863E+003
+       9.790000E-001       1.000000E+016       1.142602E+000      -8.067325E-001       2.869520E+000       2.275483E-004       1.648127E+003
+       9.800000E-001       1.000000E+016       9.762612E-001      -1.286433E+000       2.242794E+000       2.275258E-004       1.647963E+003
+       9.810000E-001       1.000000E+016       1.060684E+000      -7.615759E-001       2.382167E+000       2.274894E-004       1.647700E+003
+       9.820000E-001       1.000000E+016       1.653914E+000      -5.566686E-001       2.283006E+000       2.276627E-004       1.648955E+003
+       9.830000E-001       1.000000E+016       2.175070E+000       1.393576E-001       2.784924E+000       2.274783E-004       1.647619E+003
+       9.840000E-001       1.000000E+016       2.328603E+000       2.928155E-001       3.005850E+000       2.275537E-004       1.648166E+003
+       9.850000E-001       1.000000E+016       2.691184E+000       1.609789E-002       2.117236E+000       2.276566E-004       1.648911E+003
+       9.860000E-001       1.000000E+016       3.099093E+000       4.924577E-001       1.561099E+000       2.275790E-004       1.648349E+003
+       9.870000E-001       1.000000E+016       3.009715E+000       3.638089E-001       1.478850E+000       2.276012E-004       1.648509E+003
+       9.880000E-001       1.000000E+016       3.204312E+000       7.137395E-001       6.494294E-001       2.275741E-004       1.648313E+003
+       9.890000E-001       1.000000E+016       2.625048E+000       1.231382E+000       1.019901E+000       2.275023E-004       1.647793E+003
+       9.900000E-001       1.000000E+016       3.074600E+000       6.911152E-001       1.324531E+000       2.275190E-004       1.647914E+003
+       9.910000E-001       1.000000E+016       3.990444E+000       1.069899E+000       1.771337E+000       2.274080E-004       1.647110E+003
+       9.920000E-001       1.000000E+016       3.960257E+000       5.979021E-001       2.335073E+000       2.269484E-004       1.643781E+003
+       9.930000E-001       1.000000E+016       3.899059E+000       4.840703E-001       2.072997E+000       2.267550E-004       1.642380E+003
+       9.940000E-001       1.000000E+016       4.043490E+000       3.239096E-001       1.418762E+000       2.268985E-004       1.643420E+003
+       9.950000E-001       1.000000E+016       3.436518E+000       1.447803E-001       1.350881E+000       2.268453E-004       1.643034E+003
+       9.960000E-001       1.000000E+016       3.409522E+000       3.545130E-001       1.725939E+000       2.269652E-004       1.643903E+003
+       9.970000E-001       1.000000E+016       3.152455E+000       1.329225E+000       2.109099E+000       2.268816E-004       1.643297E+003
+       9.980000E-001       1.000000E+016       3.274753E+000       1.629881E+000       2.117624E+000       2.271356E-004       1.645137E+003
+       9.990000E-001       1.000000E+016       3.348974E+000       7.967038E-001       1.821784E+000       2.272149E-004       1.645711E+003
+       1.000000E+000       1.000000E+016       3.200981E+000       1.079026E+000       1.806646E+000       2.272336E-004       1.645847E+003
diff --git a/runs/0D_Argon/output/OUTPUT_Collisions.dat b/runs/0D_Argon/output/OUTPUT_Collisions.dat
new file mode 100644
index 0000000..f3adf16
--- /dev/null
+++ b/runs/0D_Argon/output/OUTPUT_Collisions.dat
@@ -0,0 +1,1002 @@
+#              t (s)          collisions
+       0.000000E+000                   0                   0
+       1.000000E-003                2642                1581
+       2.000000E-003                4611                2505
+       3.000000E-003                4914                2671
+       4.000000E-003                4825                2791
+       5.000000E-003                4942                2864
+       6.000000E-003                4818                3183
+       7.000000E-003                4779                3173
+       8.000000E-003                4870                3351
+       9.000000E-003                4891                3505
+       1.000000E-002                4719                3359
+       1.100000E-002                4785                3598
+       1.200000E-002                4907                3709
+       1.300000E-002                4992                3813
+       1.400000E-002                4831                3934
+       1.500000E-002                4799                4004
+       1.600000E-002                4820                3928
+       1.700000E-002                4784                3948
+       1.800000E-002                4756                4064
+       1.900000E-002                4809                4189
+       2.000000E-002                4772                4216
+       2.100000E-002                4899                4276
+       2.200000E-002                4734                4200
+       2.300000E-002                4916                4269
+       2.400000E-002                4811                4320
+       2.500000E-002                4791                4378
+       2.600000E-002                4895                4449
+       2.700000E-002                4856                4508
+       2.800000E-002                4895                4522
+       2.900000E-002                4809                4502
+       3.000000E-002                4648                4492
+       3.100000E-002                4902                4513
+       3.200000E-002                4901                4621
+       3.300000E-002                4803                4588
+       3.400000E-002                4899                4731
+       3.500000E-002                4810                4639
+       3.600000E-002                4792                4665
+       3.700000E-002                4818                4685
+       3.800000E-002                4873                4604
+       3.900000E-002                4870                4701
+       4.000000E-002                4813                4636
+       4.100000E-002                4885                4690
+       4.200000E-002                4903                4700
+       4.300000E-002                4981                4676
+       4.400000E-002                4963                4669
+       4.500000E-002                4810                4637
+       4.600000E-002                4919                4771
+       4.700000E-002                4846                4736
+       4.800000E-002                4871                4796
+       4.900000E-002                4826                4793
+       5.000000E-002                4853                4828
+       5.100000E-002                4901                4813
+       5.200000E-002                4948                4816
+       5.300000E-002                4887                4853
+       5.400000E-002                5015                4837
+       5.500000E-002                4972                4806
+       5.600000E-002                4851                4845
+       5.700000E-002                4823                4852
+       5.800000E-002                4788                4718
+       5.900000E-002                4898                4804
+       6.000000E-002                4890                4853
+       6.100000E-002                4881                4752
+       6.200000E-002                4878                4944
+       6.300000E-002                4889                4889
+       6.400000E-002                4841                4839
+       6.500000E-002                4919                4871
+       6.600000E-002                4888                4844
+       6.700000E-002                4888                4946
+       6.800000E-002                4773                4848
+       6.900000E-002                4840                4876
+       7.000000E-002                4906                4848
+       7.100000E-002                4924                4953
+       7.200000E-002                4817                4815
+       7.300000E-002                4961                4895
+       7.400000E-002                4862                4906
+       7.500000E-002                4917                4938
+       7.600000E-002                4908                4923
+       7.700000E-002                4884                4854
+       7.800000E-002                4853                4995
+       7.900000E-002                4918                4887
+       8.000000E-002                4818                4853
+       8.100000E-002                4897                4850
+       8.200000E-002                4762                4855
+       8.300000E-002                4928                4920
+       8.400000E-002                4855                4917
+       8.500000E-002                4824                4805
+       8.600000E-002                4984                4947
+       8.700000E-002                4941                4988
+       8.800000E-002                4864                4864
+       8.900000E-002                4934                4846
+       9.000000E-002                4762                4934
+       9.100000E-002                4871                5032
+       9.200000E-002                4805                4869
+       9.300000E-002                4951                4889
+       9.400000E-002                4782                4807
+       9.500000E-002                4867                4972
+       9.600000E-002                4823                4831
+       9.700000E-002                4834                4916
+       9.800000E-002                4909                4879
+       9.900000E-002                4848                4832
+       1.000000E-001                4929                4899
+       1.010000E-001                4904                4919
+       1.020000E-001                4810                4920
+       1.030000E-001                4858                4801
+       1.040000E-001                4867                4871
+       1.050000E-001                4840                4908
+       1.060000E-001                4858                4878
+       1.070000E-001                4859                4968
+       1.080000E-001                4994                4966
+       1.090000E-001                4964                4812
+       1.100000E-001                4843                4924
+       1.110000E-001                4789                4879
+       1.120000E-001                4851                4896
+       1.130000E-001                4866                4788
+       1.140000E-001                4964                4970
+       1.150000E-001                4961                4895
+       1.160000E-001                4889                4917
+       1.170000E-001                4952                4907
+       1.180000E-001                4830                4860
+       1.190000E-001                5028                4865
+       1.200000E-001                4930                4915
+       1.210000E-001                4781                4800
+       1.220000E-001                4894                4939
+       1.230000E-001                4919                4883
+       1.240000E-001                4845                4949
+       1.250000E-001                4898                4953
+       1.260000E-001                4867                4982
+       1.270000E-001                4963                4865
+       1.280000E-001                4881                4881
+       1.290000E-001                4951                4992
+       1.300000E-001                4979                5016
+       1.310000E-001                4856                4887
+       1.320000E-001                4909                4888
+       1.330000E-001                4980                4963
+       1.340000E-001                4835                4867
+       1.350000E-001                4964                4892
+       1.360000E-001                4942                4958
+       1.370000E-001                4896                4826
+       1.380000E-001                4842                4861
+       1.390000E-001                4839                4850
+       1.400000E-001                4795                4910
+       1.410000E-001                4843                4951
+       1.420000E-001                4889                4962
+       1.430000E-001                4938                4934
+       1.440000E-001                4867                4837
+       1.450000E-001                4902                5034
+       1.460000E-001                4923                4997
+       1.470000E-001                4944                4804
+       1.480000E-001                4997                5024
+       1.490000E-001                5034                4887
+       1.500000E-001                4876                4970
+       1.510000E-001                4907                4917
+       1.520000E-001                4951                4805
+       1.530000E-001                4905                4840
+       1.540000E-001                4957                4738
+       1.550000E-001                4862                4967
+       1.560000E-001                4829                4917
+       1.570000E-001                4916                4933
+       1.580000E-001                4822                4983
+       1.590000E-001                4916                4907
+       1.600000E-001                4955                4849
+       1.610000E-001                4908                4853
+       1.620000E-001                4934                4935
+       1.630000E-001                4890                4955
+       1.640000E-001                4828                4890
+       1.650000E-001                4902                4966
+       1.660000E-001                4871                4917
+       1.670000E-001                4913                4984
+       1.680000E-001                5052                4944
+       1.690000E-001                4867                4988
+       1.700000E-001                4855                4997
+       1.710000E-001                4864                4915
+       1.720000E-001                4825                4865
+       1.730000E-001                4825                4949
+       1.740000E-001                5019                4908
+       1.750000E-001                4964                4964
+       1.760000E-001                4797                4912
+       1.770000E-001                4949                4986
+       1.780000E-001                4895                4965
+       1.790000E-001                4879                4910
+       1.800000E-001                4815                4953
+       1.810000E-001                4912                4895
+       1.820000E-001                4878                5016
+       1.830000E-001                4897                4880
+       1.840000E-001                4933                5017
+       1.850000E-001                4904                4896
+       1.860000E-001                4916                4870
+       1.870000E-001                4919                4854
+       1.880000E-001                4961                4878
+       1.890000E-001                4908                4924
+       1.900000E-001                4904                4898
+       1.910000E-001                4913                4957
+       1.920000E-001                4870                4830
+       1.930000E-001                4952                4973
+       1.940000E-001                4848                4926
+       1.950000E-001                4913                4894
+       1.960000E-001                4929                4988
+       1.970000E-001                4826                5017
+       1.980000E-001                4790                4843
+       1.990000E-001                4814                4844
+       2.000000E-001                4912                4888
+       2.010000E-001                4932                4895
+       2.020000E-001                4988                4869
+       2.030000E-001                4957                4967
+       2.040000E-001                4971                4929
+       2.050000E-001                4852                4896
+       2.060000E-001                4914                4948
+       2.070000E-001                4822                4836
+       2.080000E-001                4967                4893
+       2.090000E-001                4927                4810
+       2.100000E-001                4837                4802
+       2.110000E-001                4905                4899
+       2.120000E-001                4947                5085
+       2.130000E-001                4871                4900
+       2.140000E-001                4930                4933
+       2.150000E-001                4920                4929
+       2.160000E-001                4796                4952
+       2.170000E-001                4840                4958
+       2.180000E-001                4909                4927
+       2.190000E-001                5025                4924
+       2.200000E-001                4874                4810
+       2.210000E-001                4896                4868
+       2.220000E-001                4964                4886
+       2.230000E-001                4969                4930
+       2.240000E-001                4917                4861
+       2.250000E-001                5006                4826
+       2.260000E-001                5009                4947
+       2.270000E-001                4908                4756
+       2.280000E-001                5014                4903
+       2.290000E-001                4865                4861
+       2.300000E-001                4899                5024
+       2.310000E-001                4898                4879
+       2.320000E-001                5003                4936
+       2.330000E-001                4898                4821
+       2.340000E-001                4895                4811
+       2.350000E-001                4940                4854
+       2.360000E-001                4863                4958
+       2.370000E-001                4995                4999
+       2.380000E-001                4691                4962
+       2.390000E-001                4884                4857
+       2.400000E-001                4798                4955
+       2.410000E-001                4909                4931
+       2.420000E-001                4914                4892
+       2.430000E-001                4880                4873
+       2.440000E-001                4976                4960
+       2.450000E-001                4938                4883
+       2.460000E-001                4914                4873
+       2.470000E-001                5041                4937
+       2.480000E-001                4917                4917
+       2.490000E-001                4888                4977
+       2.500000E-001                4827                4977
+       2.510000E-001                4953                4799
+       2.520000E-001                4893                4873
+       2.530000E-001                4879                4861
+       2.540000E-001                4866                4803
+       2.550000E-001                5005                4949
+       2.560000E-001                4913                4954
+       2.570000E-001                4836                4930
+       2.580000E-001                4832                4916
+       2.590000E-001                4915                4821
+       2.600000E-001                4932                4877
+       2.610000E-001                4998                4925
+       2.620000E-001                4877                4910
+       2.630000E-001                4829                4915
+       2.640000E-001                4908                4990
+       2.650000E-001                4964                4898
+       2.660000E-001                4864                4934
+       2.670000E-001                4898                4889
+       2.680000E-001                4974                4996
+       2.690000E-001                4900                4871
+       2.700000E-001                4888                4889
+       2.710000E-001                4906                4897
+       2.720000E-001                4870                5011
+       2.730000E-001                4950                4947
+       2.740000E-001                4921                4885
+       2.750000E-001                4927                4924
+       2.760000E-001                4915                4933
+       2.770000E-001                4951                4936
+       2.780000E-001                4858                4812
+       2.790000E-001                4917                4973
+       2.800000E-001                4887                4865
+       2.810000E-001                4938                4954
+       2.820000E-001                4934                4934
+       2.830000E-001                4944                4918
+       2.840000E-001                4929                4910
+       2.850000E-001                4872                4841
+       2.860000E-001                4951                4931
+       2.870000E-001                4943                4955
+       2.880000E-001                4989                4881
+       2.890000E-001                4857                5013
+       2.900000E-001                4970                4845
+       2.910000E-001                4876                4884
+       2.920000E-001                5001                4863
+       2.930000E-001                4944                4974
+       2.940000E-001                4920                4944
+       2.950000E-001                4802                4908
+       2.960000E-001                4915                4950
+       2.970000E-001                4899                4927
+       2.980000E-001                4836                4881
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+       9.150000E-001                4898                5009
+       9.160000E-001                4949                4875
+       9.170000E-001                4874                4922
+       9.180000E-001                5013                4885
+       9.190000E-001                4879                4948
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+       9.250000E-001                4861                4944
+       9.260000E-001                4962                4925
+       9.270000E-001                4855                4965
+       9.280000E-001                5035                4912
+       9.290000E-001                4801                4863
+       9.300000E-001                4809                4920
+       9.310000E-001                4932                4958
+       9.320000E-001                4812                4871
+       9.330000E-001                4946                4932
+       9.340000E-001                4906                4917
+       9.350000E-001                4865                4908
+       9.360000E-001                5036                4835
+       9.370000E-001                4851                4861
+       9.380000E-001                4862                4863
+       9.390000E-001                4944                4938
+       9.400000E-001                4955                4851
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+       9.420000E-001                4811                4927
+       9.430000E-001                4877                4883
+       9.440000E-001                4903                4918
+       9.450000E-001                4964                4873
+       9.460000E-001                4993                4837
+       9.470000E-001                4846                4949
+       9.480000E-001                4783                4955
+       9.490000E-001                4840                4878
+       9.500000E-001                4997                4945
+       9.510000E-001                4948                5001
+       9.520000E-001                4952                4889
+       9.530000E-001                4985                4861
+       9.540000E-001                4877                4888
+       9.550000E-001                4940                4848
+       9.560000E-001                4894                4886
+       9.570000E-001                4935                4988
+       9.580000E-001                4885                4902
+       9.590000E-001                4941                4995
+       9.600000E-001                4951                4924
+       9.610000E-001                4817                4901
+       9.620000E-001                4864                4886
+       9.630000E-001                4852                4840
+       9.640000E-001                4901                4921
+       9.650000E-001                4920                4877
+       9.660000E-001                4959                4900
+       9.670000E-001                4757                4880
+       9.680000E-001                4970                4853
+       9.690000E-001                4853                4932
+       9.700000E-001                4899                4997
+       9.710000E-001                4803                4968
+       9.720000E-001                4835                4903
+       9.730000E-001                4860                4854
+       9.740000E-001                4872                4957
+       9.750000E-001                4826                4854
+       9.760000E-001                4942                4946
+       9.770000E-001                4814                4892
+       9.780000E-001                4983                4869
+       9.790000E-001                4943                4874
+       9.800000E-001                4865                4924
+       9.810000E-001                4916                4860
+       9.820000E-001                4913                4989
+       9.830000E-001                4804                4850
+       9.840000E-001                4930                4853
+       9.850000E-001                4953                5000
+       9.860000E-001                4956                4802
+       9.870000E-001                4870                4922
+       9.880000E-001                5067                4827
+       9.890000E-001                4875                4967
+       9.900000E-001                4952                4925
+       9.910000E-001                4935                4944
+       9.920000E-001                4953                4900
+       9.930000E-001                4972                4903
+       9.940000E-001                4879                4867
+       9.950000E-001                4840                4931
+       9.960000E-001                4922                4996
+       9.970000E-001                4945                4890
+       9.980000E-001                4836                4877
+       9.990000E-001                5049                4966
+       1.000000E+000                4858                4829
diff --git a/runs/0D_Argon/curve_Temperature.gp b/runs/0D_Argon/plot_Temperature.gp
similarity index 82%
rename from runs/0D_Argon/curve_Temperature.gp
rename to runs/0D_Argon/plot_Temperature.gp
index 4f3eb76..03eb627 100644
--- a/runs/0D_Argon/curve_Temperature.gp
+++ b/runs/0D_Argon/plot_Temperature.gp
@@ -43,6 +43,8 @@ set output "comp_temp.eps"
 filename1 = "OUTPUT_Argon.dat"
 filename2 = "OUTPUT_Argon+.dat"
 
+folder = 'output/'
+
 set lmargin at screen lmar 
 set rmargin at screen rmar
 
@@ -58,7 +60,6 @@ set ylabel "Temperature (K)" offset 1.4,0.0
 set key width 0.5 height 0.1 spacing 1.3 samplen 0.2 box opaque font ",16"
 set key at graph 0.95, graph 0.9 right top
 
-plot filename1 u ($1):($7)                                          t "Ar"     ls 1 with lines, \
-     filename2 u ($1):($7)                                          t "Ar^{+}" ls 2 with lines, \
-     '< paste OUTPUT_Argon.dat OUTPUT_Argon+.dat' u ($1):($7 + $14) t "Sum"    ls 3 with lines
+plot folder.filename1 u ($1):($7)                                          t "Ar"     ls 1 with lines, \
+     folder.filename2 u ($1):($7)                                          t "Ar^{+}" ls 2 with lines
 
diff --git a/runs/1D_Cathode/README.txt b/runs/1D_Cathode/README.txt
new file mode 100644
index 0000000..71637ae
--- /dev/null
+++ b/runs/1D_Cathode/README.txt
@@ -0,0 +1,8 @@
+This case is useful to explain how fpakc can work with different geometries (Cartisian and Radial in this case) using very similar input files and the same mesh.
+
+From the position to the left, electrons  are emitted at a constant rate.
+The electric potential at the left is fixed at 0.
+
+Depending on the geometry (which affects the symmetry) different distributions of the electron density and electric potential are achieved.
+
+The last iteration obtained for these cases is in the output folder.
diff --git a/runs/1D_Cathode/inputCart.json b/runs/1D_Cathode/inputCart.json
index a2acdc3..9680ba8 100644
--- a/runs/1D_Cathode/inputCart.json
+++ b/runs/1D_Cathode/inputCart.json
@@ -2,7 +2,7 @@
 {
   "output": {
     "path": "./runs/1D_Cathode/",
-    "triggerOutput": 100,
+    "triggerOutput": 1000,
     "cpuTime": false,
     "numColl": false,
     "EMField": true,
@@ -20,16 +20,13 @@
     "meshFile": "mesh.msh"
   },
   "species": [
-    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e1},
-    {"name": "Argon+",   "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e1}
+    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e1}
   ],
   "boundary": [ 
     {"name": "Cathode",  "physicalSurface": 1, "bTypes": [
-                                                  {"type": "absorption"},
                                                   {"type": "absorption"}
                                                 ]},
     {"name": "Infinite", "physicalSurface": 2, "bTypes": [
-                                                  {"type": "transparent"},
                                                   {"type": "transparent"}
                                                 ]}
   ],
@@ -37,17 +34,13 @@
     {"name": "Cathode",  "type": "dirichlet", "potential": 0.0, "physicalSurface": 1}
   ],
   "inject": [
-    {"name": "Plasma Inf Ar+",   "species": "Argon+",   "flow":  1.00e-6, "units": "A", "v": 300.0,   "T": [  500.0,   500.0,   500.0],
-                                 "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [-1, 0, 0], "physicalSurface": 2},
-    {"name": "Plasma Inf e",     "species": "Electron", "flow":  2.64e-4, "units": "A", "v":   0.0,   "T": [11604.0, 11604.0, 11604.0],
-                                 "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [-1, 0, 0], "physicalSurface": 2},
     {"name": "Plasma Cat e",     "species": "Electron", "flow":  2.64e-5, "units": "A", "v": 180000.0,   "T": [ 2300.0,  2300.0,  2300.0],
                                  "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [ 1, 0, 0], "physicalSurface": 1}
   ],
   "solver": {
-    "tau":  [1.0e-11, 1.0e-11],
-    "finalTime": 4.0e-6,
-    "pusher": ["Electrostatic", "Electrostatic"],
+    "tau":  [1.0e-11],
+    "finalTime": 3.0e-7,
+    "pusher": ["Electrostatic"],
     "EMSolver": "Electrostatic"
   },
   "parallel": {
diff --git a/runs/1D_Cathode/inputRadEmission.json b/runs/1D_Cathode/inputRadEmission.json
index 6f0e892..8fd8daa 100644
--- a/runs/1D_Cathode/inputRadEmission.json
+++ b/runs/1D_Cathode/inputRadEmission.json
@@ -2,7 +2,7 @@
 {
   "output": {
     "path": "./runs/1D_Cathode/",
-    "triggerOutput": 100,
+    "triggerOutput": 1000,
     "cpuTime": false,
     "numColl": false,
     "EMField": true,
@@ -20,16 +20,13 @@
     "meshFile": "mesh.msh"
   },
   "species": [
-    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e1},
-    {"name": "Argon+",   "type": "charged", "mass": 6.633e-26, "charge": 1.0, "weight": 1.0e1}
+    {"name": "Electron", "type": "charged", "mass": 9.109e-31, "charge":-1.0, "weight": 1.0e1}
   ],
   "boundary": [ 
     {"name": "Cathode",  "physicalSurface": 1, "bTypes": [
-                                                  {"type": "absorption"},
                                                   {"type": "absorption"}
                                                 ]},
     {"name": "Infinite", "physicalSurface": 2, "bTypes": [
-                                                  {"type": "transparent"},
                                                   {"type": "transparent"}
                                                 ]}
   ],
@@ -37,17 +34,13 @@
     {"name": "Cathode",  "type": "dirichlet", "potential":  0.0, "physicalSurface": 1}
   ],
   "inject": [
-    {"name": "Plasma Inf Ar+",   "species": "Argon+",   "flow":  1.00e-6, "units": "A", "v":  323.0,   "T": [  500.0,   500.0,   500.0],
-                                 "velDist": ["Delta", "Maxwellian", "Maxwellian"],          "n": [-1, 0, 0], "physicalSurface": 2},
-    {"name": "Plasma Inf e",     "species": "Electron", "flow":  2.64e-4, "units": "A", "v":    0.0,   "T": [11604.0, 11604.0, 11604.0],
-                                 "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [-1, 0, 0], "physicalSurface": 2},
     {"name": "Plasma Cat e",     "species": "Electron", "flow":  2.64e-2, "units": "A", "v": 180000.0,   "T": [ 2300.0,  2300.0,  2300.0],
                                  "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [ 1, 0, 0], "physicalSurface": 1}
   ],
   "solver": {
-    "tau":  [1.0e-11, 1.0e-11],
+    "tau":  [1.0e-11],
     "finalTime": 3.0e-7,
-    "pusher": ["Electrostatic", "Electrostatic"],
+    "pusher": ["Electrostatic"],
     "EMSolver": "Electrostatic"
   },
   "parallel": {
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index db9ea74..de6cc65 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -913,7 +913,6 @@ MODULE moduleInput
 
       SELECT CASE(mesh%dimen)
       CASE (0)
-        CALL config%get(object // '.meshType', meshFormat, found)
         CALL init0D(mesh)
 
         !Read the 0D mesh

From 2850f3755108531bc840ecc97b64af247a83c98a Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 10 Dec 2022 10:37:14 +0100
Subject: [PATCH 052/203] Test of examples

As all pushers and geometries have change, I'm testing all examples,
   adding a README.txt and a reference output for each case.
---
 doc/user-manual/fpakc_UserManual.pdf          |  Bin 175069 -> 174638 bytes
 doc/user-manual/fpakc_UserManual.tex          |   11 +-
 runs/1D_Cathode/inputCart.json                |    4 +-
 .../{inputRadEmission.json => inputRad.json}  |    6 +-
 .../output/Cartesian/OUTPUT_1000_EMField.msh  |  185 +
 .../output/Cartesian/OUTPUT_1000_Electron.msh |  247 +
 .../output/Radial/OUTPUT_1000_EMField.msh     |  185 +
 .../output/Radial/OUTPUT_1000_Electron.msh    |  247 +
 runs/cylFlow/README.txt                       |    7 +
 runs/cylFlow/input.json                       |    3 +-
 runs/cylFlow/inputDualMesh.json               |    2 +-
 .../cylFlow/output/dual/OUTPUT_1000_Argon.msh | 8183 +++++++++++++++++
 .../output/dual/OUTPUT_1000_Collisions.msh    | 1943 ++++
 .../output/single/OUTPUT_1000_Argon.msh       | 8183 +++++++++++++++++
 .../output/single/OUTPUT_1000_Collisions.msh  | 1943 ++++
 15 files changed, 21137 insertions(+), 12 deletions(-)
 rename runs/1D_Cathode/{inputRadEmission.json => inputRad.json} (94%)
 create mode 100644 runs/1D_Cathode/output/Cartesian/OUTPUT_1000_EMField.msh
 create mode 100644 runs/1D_Cathode/output/Cartesian/OUTPUT_1000_Electron.msh
 create mode 100644 runs/1D_Cathode/output/Radial/OUTPUT_1000_EMField.msh
 create mode 100644 runs/1D_Cathode/output/Radial/OUTPUT_1000_Electron.msh
 create mode 100644 runs/cylFlow/README.txt
 create mode 100644 runs/cylFlow/output/dual/OUTPUT_1000_Argon.msh
 create mode 100644 runs/cylFlow/output/dual/OUTPUT_1000_Collisions.msh
 create mode 100644 runs/cylFlow/output/single/OUTPUT_1000_Argon.msh
 create mode 100644 runs/cylFlow/output/single/OUTPUT_1000_Collisions.msh

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index d9d863c5ce4f8b8348eaea746d01fb830cb90017..a84376fbfd25742aa1fd9c11953d8d7b7b8171ca 100644
GIT binary patch
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index 935c01c..b41f809 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -47,6 +47,7 @@
 \newglossaryentry{git}{name={Git},description={Git is a distributed version-control system for tracking changes in a set of files}}
 \newglossaryentry{gitlab}{name={GitLab},description={GitLab is a web-based lifecycle tool that provides a \Gls{git}-repository manager}}
 \newglossaryentry{gmsh}{name={Gmsh},description={A three-dimensional finite element mesh generator with built-in pre- and post-processing facilities.}}
+\newglossaryentry{gnuplot}{name={Gnuplot},description={A portable command-line driven graphing utility for Linux, OS/2, MS Windows, OSX, VMS, and many other platforms.}}
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \bibliography{bibliography}
@@ -287,7 +288,7 @@
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
       \subsection{Gmsh}
         Although \Gls{gmsh}\cite{gmshURL} is not required to compile and run \Gls{fpakc}, it is the default tool to generate finite element meshes and post-processing.
-        Right now, the only \acrshort{io} format available in \Gls{fpakc} is the v2.0 .msh format.
+        Right now, the only \acrshort{io} format available in \Gls{fpakc} is the v2.0 \lstinline|.msh| format.
         
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Installation steps}
@@ -340,7 +341,7 @@ make
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Mesh file}
-      \Gls{fpakc} accepts right now the version 2.0 of \Gls{gmsh} mesh format .msh in ASCII format.
+      \Gls{fpakc} accepts right now the version 2.0 of \Gls{gmsh} mesh format \lstinline|.msh| in ASCII format.
       This file contains information about the nodes, edges and volumes that define the finite element mesh used by \Gls{fpakc} to scatter particle properties and compute the self-consistent electromagnetic field.
       
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -743,6 +744,8 @@ make
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   \chapter{Example runs}\label{ch:exampleRuns}
     This chapter presents a description of the different example files distributed with \acrshort{fpakc}.
+    All examples in the repository have a \lstinline|README.txt| file and a reference output.
+    Plotting of the output is done with \Gls{gnuplot} or \Gls{gmsh}.
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{1D Emissive Cathode (1D\_Cathode)}
@@ -754,7 +757,7 @@ make
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{0D \ce{Ar}-\ce{Ar+} Elastic Collision (0D\_Argon)}
       Test case to check the 0D geometry that includes the elastic collision between \ce{Ar} and \ce{Ar+}.
-      Initial states are read from the Argon\_Initial.dat and Argon+\_Initial.dat
+      Initial states are read from the \lstinline|Argon_Initial.dat| and \lstinline|Argon+_Initial.dat|.
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{ALPHIE Grid system (ALPHIE\_Grid)}
@@ -765,7 +768,7 @@ make
     \section{Flow around cylinder (cylFlow)}
       Simple case of neutral Argon flow around a cylinder in a 2D axial-symmetry geometry.
       Elastic collisions between argon particles are included.
-      Two cases are presented here: one in which the same mesh (meshSingle.msh) for scattering and collisions is used (input.json) and a second one (inputDualMesh.json) in which a mesh is used for scattering (mesh.msh) and a second one is used only for collisions (meshColl.msh).
+      Two cases are presented here: one in which the same mesh (\lstinline|meshSingle.msh|) for scattering and collisions is used (\lstinline|input.json|) and a second one (\lstinline|inputDualMesh.json|) in which a mesh is used for scattering (\lstinline|mesh.msh|) and a second one is used only for collisions (\lstinline|meshColl.msh|).
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   \printglossaries
diff --git a/runs/1D_Cathode/inputCart.json b/runs/1D_Cathode/inputCart.json
index 9680ba8..98d9e1a 100644
--- a/runs/1D_Cathode/inputCart.json
+++ b/runs/1D_Cathode/inputCart.json
@@ -2,7 +2,7 @@
 {
   "output": {
     "path": "./runs/1D_Cathode/",
-    "triggerOutput": 1000,
+    "triggerOutput": 100,
     "cpuTime": false,
     "numColl": false,
     "EMField": true,
@@ -39,7 +39,7 @@
   ],
   "solver": {
     "tau":  [1.0e-11],
-    "finalTime": 3.0e-7,
+    "finalTime": 1.0e-8,
     "pusher": ["Electrostatic"],
     "EMSolver": "Electrostatic"
   },
diff --git a/runs/1D_Cathode/inputRadEmission.json b/runs/1D_Cathode/inputRad.json
similarity index 94%
rename from runs/1D_Cathode/inputRadEmission.json
rename to runs/1D_Cathode/inputRad.json
index 8fd8daa..34a09ce 100644
--- a/runs/1D_Cathode/inputRadEmission.json
+++ b/runs/1D_Cathode/inputRad.json
@@ -2,7 +2,7 @@
 {
   "output": {
     "path": "./runs/1D_Cathode/",
-    "triggerOutput": 1000,
+    "triggerOutput": 100,
     "cpuTime": false,
     "numColl": false,
     "EMField": true,
@@ -15,7 +15,7 @@
   },
   "geometry": {
     "dimension": 1,
-    "type":     "Cart",
+    "type":     "Rad",
     "meshType": "gmsh2",
     "meshFile": "mesh.msh"
   },
@@ -39,7 +39,7 @@
   ],
   "solver": {
     "tau":  [1.0e-11],
-    "finalTime": 3.0e-7,
+    "finalTime": 1.0e-8,
     "pusher": ["Electrostatic"],
     "EMSolver": "Electrostatic"
   },
diff --git a/runs/1D_Cathode/output/Cartesian/OUTPUT_1000_EMField.msh b/runs/1D_Cathode/output/Cartesian/OUTPUT_1000_EMField.msh
new file mode 100644
index 0000000..343c864
--- /dev/null
+++ b/runs/1D_Cathode/output/Cartesian/OUTPUT_1000_EMField.msh
@@ -0,0 +1,185 @@
+$MeshFormat
+2.2 0 8
+$EndMeshFormat
+$NodeData
+1
+"Potential (V)"
+           1
+   1.0000000000000000E-008
+           3
+        1000
+           1
+          51
+           1  -7.2180834934653183E-012
+           2  -1.6164415181357834     
+           3 -0.36980461527280883     
+           4 -0.57492573345192088     
+           5 -0.71403100967357258     
+           6 -0.82100545766928923     
+           7 -0.90752842743341133     
+           8 -0.97972921034487059     
+           9  -1.0411791818607907     
+          10  -1.0939318279574932     
+          11  -1.1399404313046071     
+          12  -1.1807139724083482     
+          13  -1.2174163304531369     
+          14  -1.2504990809463861     
+          15  -1.2803540949915220     
+          16  -1.3073500616819811     
+          17  -1.3316282169084139     
+          18  -1.3537385275137412     
+          19  -1.3739696197563589     
+          20  -1.3927592194128697     
+          21  -1.4103076231740377     
+          22  -1.4266496533259061     
+          23  -1.4418485519615323     
+          24  -1.4562354448986332     
+          25  -1.4697852468324024     
+          26  -1.4825221356246889     
+          27  -1.4946048104025964     
+          28  -1.5059524644639768     
+          29  -1.5166545901603037     
+          30  -1.5269837565446036     
+          31  -1.5366931422515575     
+          32  -1.5457467079858906     
+          33  -1.5541298965687140     
+          34  -1.5618551829370724     
+          35  -1.5689172611267244     
+          36  -1.5752150587183313     
+          37  -1.5808462624732060     
+          38  -1.5860612571248669     
+          39  -1.5910404498436017     
+          40  -1.5957279636246224     
+          41  -1.5998828959091791     
+          42  -1.6032394878414955     
+          43  -1.6059267946667977     
+          44  -1.6082423003097928     
+          45  -1.6102897646308323     
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diff --git a/runs/1D_Cathode/output/Radial/OUTPUT_1000_Electron.msh b/runs/1D_Cathode/output/Radial/OUTPUT_1000_Electron.msh
new file mode 100644
index 0000000..4614634
--- /dev/null
+++ b/runs/1D_Cathode/output/Radial/OUTPUT_1000_Electron.msh
@@ -0,0 +1,247 @@
+$MeshFormat
+2.2 0 8
+$EndMeshFormat
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+"Electron density (m^-3)"
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+   1.0000000000000000E-008
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+        1000
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diff --git a/runs/cylFlow/README.txt b/runs/cylFlow/README.txt
new file mode 100644
index 0000000..8cd229f
--- /dev/null
+++ b/runs/cylFlow/README.txt
@@ -0,0 +1,7 @@
+Neutral flow around a cylinder with elastic collisions.
+
+Case with the same mesh for particle weighting and collisions and another case using the dual mesh mode, with a more refined mesh around the cylinder.
+This demostrates the capacity of fpakc to work with independent meshes for particles and collisions.
+
+CPU time is outputed.
+Gnuplot scripts for plotting the CPU time are provided.
diff --git a/runs/cylFlow/input.json b/runs/cylFlow/input.json
index 677206e..fc7bd02 100644
--- a/runs/cylFlow/input.json
+++ b/runs/cylFlow/input.json
@@ -43,9 +43,8 @@
   },
   "solver": {
     "tau":  [5.0e-7],
-    "finalTime":  1.0e-3,
+    "finalTime":  5.0e-4,
     "pusher": ["Neutral"],
-    "WeightingScheme": "Volume"
   },
   "interactions": {
     "folderCollisions": "./data/collisions/",
diff --git a/runs/cylFlow/inputDualMesh.json b/runs/cylFlow/inputDualMesh.json
index 42d539c..78eec58 100644
--- a/runs/cylFlow/inputDualMesh.json
+++ b/runs/cylFlow/inputDualMesh.json
@@ -44,7 +44,7 @@
   },
   "solver": {
     "tau":  [5.0e-7],
-    "finalTime":  1.0e-3,
+    "finalTime":  5.0e-4,
     "pusher": ["Neutral"],
     "WeightingScheme": "Volume"
   },
diff --git a/runs/cylFlow/output/dual/OUTPUT_1000_Argon.msh b/runs/cylFlow/output/dual/OUTPUT_1000_Argon.msh
new file mode 100644
index 0000000..38bba30
--- /dev/null
+++ b/runs/cylFlow/output/dual/OUTPUT_1000_Argon.msh
@@ -0,0 +1,8183 @@
+$MeshFormat
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+$EndMeshFormat
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+1
+"Argon temperature (K)"
+           1
+   5.0000000000000001E-004
+           3
+        1000
+           1
+        2035
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diff --git a/runs/cylFlow/output/dual/OUTPUT_1000_Collisions.msh b/runs/cylFlow/output/dual/OUTPUT_1000_Collisions.msh
new file mode 100644
index 0000000..804be7f
--- /dev/null
+++ b/runs/cylFlow/output/dual/OUTPUT_1000_Collisions.msh
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diff --git a/runs/cylFlow/output/single/OUTPUT_1000_Argon.msh b/runs/cylFlow/output/single/OUTPUT_1000_Argon.msh
new file mode 100644
index 0000000..f8c1c1a
--- /dev/null
+++ b/runs/cylFlow/output/single/OUTPUT_1000_Argon.msh
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+$EndNodeData
+$NodeData
+1
+"Argon pressure (Pa)"
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diff --git a/runs/cylFlow/output/single/OUTPUT_1000_Collisions.msh b/runs/cylFlow/output/single/OUTPUT_1000_Collisions.msh
new file mode 100644
index 0000000..b2115a6
--- /dev/null
+++ b/runs/cylFlow/output/single/OUTPUT_1000_Collisions.msh
@@ -0,0 +1,1943 @@
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+$EndElementData

From 1587d57cc7cb6431e1acfa049d01c2a7fb1da564 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 10 Dec 2022 11:16:07 +0100
Subject: [PATCH 053/203] Readme for ALPHIE_Grid example

---
 runs/ALPHIE_Grid/README.txt | 7 +++++++
 1 file changed, 7 insertions(+)
 create mode 100644 runs/ALPHIE_Grid/README.txt

diff --git a/runs/ALPHIE_Grid/README.txt b/runs/ALPHIE_Grid/README.txt
new file mode 100644
index 0000000..d2711d8
--- /dev/null
+++ b/runs/ALPHIE_Grid/README.txt
@@ -0,0 +1,7 @@
+Alphie grid system.
+
+The file mesh.geo can be easily modified to generate new grids to test different configurations.
+
+Two cases are provided:
+  Clasical case in which ions and electrons are input from the ionization chamber.
+  Ionization case in which ion-electron pairs are generated due to the influx of electrons using the Ionization boundary condition.

From 924ba4e20e2d36adfc04f9761551637b80dcaa28 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sun, 11 Dec 2022 22:39:28 +0100
Subject: [PATCH 054/203] Alphie grid case and issues

Output for the example ALPHIE_Grid.

Found an issue when multiple injections were used with species with
different time steps.

Modification to the way to compute the ionization boundary:
  The maximum number of ionizations is computed by eRel/eThreshold
  (relative energy / threshold of ionization)
  For each possible ionization, the probability of ionization is
  computed based on the density of neutrals, cross section and effective
  time divided by the number of maximum ionizations.
  If an ionization takes place, the ionization energy is substracted
  from the relative energy.
---
 runs/ALPHIE_Grid/inputBaseCase.json           |    9 +-
 runs/ALPHIE_Grid/inputIonization_0.10mA.json  |    9 +-
 runs/ALPHIE_Grid/mesh.geo                     |   10 +-
 runs/ALPHIE_Grid/mesh.msh                     | 2674 ++++++++--------
 .../output/Classic/OUTPUT_100000_Argon+.msh   | 2839 +++++++++++++++++
 .../output/Classic/OUTPUT_100000_EMField.msh  | 2021 ++++++++++++
 .../output/Classic/OUTPUT_100000_Electron.msh | 2839 +++++++++++++++++
 .../Ionization/OUTPUT_100000_Argon+.msh       | 2839 +++++++++++++++++
 .../Ionization/OUTPUT_100000_EMField.msh      | 2021 ++++++++++++
 .../Ionization/OUTPUT_100000_Electron.msh     | 2839 +++++++++++++++++
 src/modules/mesh/moduleMeshBoundary.f90       |   31 +-
 src/modules/moduleInject.f90                  |   12 +-
 12 files changed, 16778 insertions(+), 1365 deletions(-)
 create mode 100644 runs/ALPHIE_Grid/output/Classic/OUTPUT_100000_Argon+.msh
 create mode 100644 runs/ALPHIE_Grid/output/Classic/OUTPUT_100000_EMField.msh
 create mode 100644 runs/ALPHIE_Grid/output/Classic/OUTPUT_100000_Electron.msh
 create mode 100644 runs/ALPHIE_Grid/output/Ionization/OUTPUT_100000_Argon+.msh
 create mode 100644 runs/ALPHIE_Grid/output/Ionization/OUTPUT_100000_EMField.msh
 create mode 100644 runs/ALPHIE_Grid/output/Ionization/OUTPUT_100000_Electron.msh

diff --git a/runs/ALPHIE_Grid/inputBaseCase.json b/runs/ALPHIE_Grid/inputBaseCase.json
index db58686..b20d3a6 100644
--- a/runs/ALPHIE_Grid/inputBaseCase.json
+++ b/runs/ALPHIE_Grid/inputBaseCase.json
@@ -46,14 +46,15 @@
   "boundaryEM": [
     {"name": "Extraction Grid",    "type": "dirichlet", "potential": -150.0, "physicalSurface": 4},
     {"name": "Acceleration Grid",  "type": "dirichlet", "potential": -600.0, "physicalSurface": 5},
-    {"name": "Ionization Chamber", "type": "dirichlet", "potential":    0.0, "physicalSurface": 1}
+    {"name": "Ionization Chamber", "type": "dirichlet", "potential":    0.0, "physicalSurface": 1},
+    {"name": "Infinite",           "type": "dirichlet", "potential": -600.0, "physicalSurface": 2}
   ],
   "inject": [
-    {"name": "Ionization Argon+",   "species": "Argon+",   "flow": 27.0e-6, "units": "A", "v":    322.0, "T": [ 500.0,  500.0,  500.0],
+    {"name": "Ionization Argon+",   "species": "Argon+",   "flow":  1.0e-5, "units": "A", "v":   2500.0, "T": [ 500.0,  500.0,  500.0],
                                     "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [ 1, 0, 0], "physicalSurface": 1},
-    {"name": "Ionization Electron", "species": "Electron", "flow": 27.0e-6, "units": "A", "v":  87000.0, "T": [ 500.0,  500.0,  500.0],
+    {"name": "Ionization Electron", "species": "Electron", "flow":  1.0e-5, "units": "A", "v":  87000.0, "T": [30000.0, 30000.0, 30000.0],
                                     "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [ 1, 0, 0], "physicalSurface": 1},
-    {"name": "Cathode Electron",    "species": "Electron", "flow":  9.0e-5, "units": "A", "v":  87000.0, "T": [2500.0, 2500.0, 2500.0],
+    {"name": "Cathode Electron",    "species": "Electron", "flow":  1.0e-4, "units": "A", "v":  87000.0, "T": [30000.0, 30000.0, 30000.0],
                                     "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [-1, 0, 0], "physicalSurface": 2}
   ],
   "reference": {
diff --git a/runs/ALPHIE_Grid/inputIonization_0.10mA.json b/runs/ALPHIE_Grid/inputIonization_0.10mA.json
index d328139..cc51f2d 100644
--- a/runs/ALPHIE_Grid/inputIonization_0.10mA.json
+++ b/runs/ALPHIE_Grid/inputIonization_0.10mA.json
@@ -5,7 +5,7 @@
     "cpuTime": false,
     "numColl": false,
     "EMField": true,
-	"folder": "ionization_0.10mA"
+    "folder": "ionization_0.10mA"
   },
   "geometry": {
     "dimension": 2,
@@ -20,7 +20,7 @@
   "boundary": [ 
     {"name": "Ionization Chanber", "physicalSurface": 1, "bTypes": [
                                                            {"type": "transparent"},
-                                                           {"type": "ionization", "neutral": {"ion": "Argon+", "mass": 6.633e-26, "density": 1.0e17, "velocity": [323, 0, 0], "temperature": 300},
+                                                           {"type": "ionization", "neutral": {"ion": "Argon+", "mass": 6.633e-26, "density": 5.0e16, "velocity": [2500, 0, 0], "temperature": 300},
                                                                                   "effectiveTime": 5.0e-6,"energyThreshold": 15.76, "crossSection": "./data/collisions/IO_e-Ar.dat"}
                                                           ]},
     {"name": "Vacuum Chamber",     "physicalSurface": 2, "bTypes": [
@@ -47,10 +47,11 @@
   "boundaryEM": [
     {"name": "Extraction Grid",    "type": "dirichlet", "potential": -150.0, "physicalSurface": 4},
     {"name": "Acceleration Grid",  "type": "dirichlet", "potential": -600.0, "physicalSurface": 5},
-    {"name": "Ionization Chamber", "type": "dirichlet", "potential":    0.0, "physicalSurface": 1}
+    {"name": "Ionization Chamber", "type": "dirichlet", "potential":    0.0, "physicalSurface": 1},
+    {"name": "Infinite",           "type": "dirichlet", "potential": -600.0, "physicalSurface": 2}
   ],
   "inject": [
-    {"name": "Cathode Electron",    "species": "Electron", "flow":  1.0e-4, "units": "A", "v":  87000.0, "T": [2500.0, 2500.0, 2500.0],
+    {"name": "Cathode Electron",    "species": "Electron", "flow":  1.0e-4, "units": "A", "v":  87000.0, "T": [30000.0, 30000.0, 30000.0],
                                     "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"], "n": [-1, 0, 0], "physicalSurface": 2}
   ],
   "reference": {
diff --git a/runs/ALPHIE_Grid/mesh.geo b/runs/ALPHIE_Grid/mesh.geo
index f76e393..b4021cc 100644
--- a/runs/ALPHIE_Grid/mesh.geo
+++ b/runs/ALPHIE_Grid/mesh.geo
@@ -1,11 +1,11 @@
-zg1  = 0.0025;
-tg1  = 0.0004;
+zg1  = 0.0020;
+tg1  = 0.0003;
 rg1  = 0.0005;
-dg   = 0.0025;
-zg2  = zg1+tg1+dg;
+dg   = 0.0020;
+zg2  = zg1 + tg1 + dg;
 tg2  = tg1;
 rg2  = rg1;
-zEnd = 0.0042;
+zEnd = 0.0050;
 Lz   = zg2 + tg2 + zEnd;
 Lr   = rg1 + 0.0001;
 
diff --git a/runs/ALPHIE_Grid/mesh.msh b/runs/ALPHIE_Grid/mesh.msh
index 0b73a77..0714ec1 100644
--- a/runs/ALPHIE_Grid/mesh.msh
+++ b/runs/ALPHIE_Grid/mesh.msh
@@ -2,711 +2,709 @@ $MeshFormat
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diff --git a/runs/ALPHIE_Grid/output/Classic/OUTPUT_100000_Argon+.msh b/runs/ALPHIE_Grid/output/Classic/OUTPUT_100000_Argon+.msh
new file mode 100644
index 0000000..5cb89c5
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diff --git a/runs/ALPHIE_Grid/output/Classic/OUTPUT_100000_EMField.msh b/runs/ALPHIE_Grid/output/Classic/OUTPUT_100000_EMField.msh
new file mode 100644
index 0000000..671129c
--- /dev/null
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diff --git a/runs/ALPHIE_Grid/output/Classic/OUTPUT_100000_Electron.msh b/runs/ALPHIE_Grid/output/Classic/OUTPUT_100000_Electron.msh
new file mode 100644
index 0000000..44e2b99
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diff --git a/runs/ALPHIE_Grid/output/Ionization/OUTPUT_100000_Argon+.msh b/runs/ALPHIE_Grid/output/Ionization/OUTPUT_100000_Argon+.msh
new file mode 100644
index 0000000..afae75e
--- /dev/null
+++ b/runs/ALPHIE_Grid/output/Ionization/OUTPUT_100000_Argon+.msh
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diff --git a/runs/ALPHIE_Grid/output/Ionization/OUTPUT_100000_EMField.msh b/runs/ALPHIE_Grid/output/Ionization/OUTPUT_100000_EMField.msh
new file mode 100644
index 0000000..8048be6
--- /dev/null
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+   603       2.019968E+004
+   604       1.776719E+004
+   605       2.275316E+004
+   606       2.622631E+004
+   607       2.444969E+004
+   608       1.453801E+004
+   609       2.029648E+004
+   610       1.828535E+004
+   611       2.172295E+004
+   612       9.983740E+003
+   613       1.764153E+004
+   614       1.871163E+004
+   615       1.815203E+004
+   616       1.203138E+004
+   617       1.579448E+004
+   618       2.312175E+004
+   619       1.806491E+004
+   620       4.871393E+004
+   621       2.499239E+004
+   622       2.295749E+004
+   623       2.175978E+004
+   624       3.001166E+004
+   625       2.405103E+004
+   626       1.786319E+004
+   627       2.336854E+004
+   628       2.471877E+004
+   629       1.609987E+004
+   630       2.357172E+004
+   631       2.604511E+004
+   632       3.236006E+004
+   633       1.857454E+004
+   634       2.308002E+004
+   635       2.161960E+004
+   636       2.752028E+004
+   637       1.576917E+004
+   638       2.096726E+004
+   639       2.216430E+004
+   640       2.340686E+004
+   641       1.946773E+004
+   642       2.923334E+004
+   643       2.566379E+004
+   644       1.962818E+004
+   645       2.127620E+004
+   646       2.716875E+004
+   647       2.838851E+004
+   648       2.860609E+004
+   649       2.429138E+004
+   650       2.540302E+004
+   651       2.488566E+004
+   652       1.936123E+004
+   653       2.532713E+004
+   654       2.504046E+004
+   655       1.709341E+004
+   656       1.536876E+004
+   657       2.022814E+004
+   658       2.554433E+004
+   659       2.744808E+004
+   660       1.557436E+004
+   661       1.948592E+004
+   662       2.541246E+004
+   663       2.842278E+004
+   664       2.912795E+004
+   665       2.316692E+004
+   666       2.897907E+004
+   667       2.550890E+004
+   668       2.327309E+004
+   669       2.616200E+004
+   670       3.210824E+004
+   671       2.577413E+004
+   672       2.585111E+004
+   673       2.728009E+004
+   674       2.585388E+004
+   675       2.663767E+004
+   676       2.243230E+004
+   677       2.298542E+004
+   678       2.636927E+004
+   679       2.794968E+004
+   680       2.827117E+004
+   681       2.149924E+004
+   682       2.476347E+004
+   683       2.512912E+004
+   684       2.544625E+004
+   685       2.499841E+004
+   686       2.652882E+004
+   687       2.298196E+004
+   688       2.044819E+004
+   689       2.716955E+004
+   690       2.480474E+004
+   691       2.409948E+004
+   692       2.519903E+004
+   693       2.537669E+004
+   694       2.482852E+004
+   695       2.484168E+004
+   696       2.382806E+004
+   697       2.791251E+004
+   698       2.614629E+004
+   699       2.462437E+004
+$EndNodeData
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 5f3bc26..91edb35 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -110,31 +110,34 @@ MODULE moduleMeshBoundary
       USE moduleMesh
       USE moduleRefParam
       USE moduleRandom
+      USE moduleMath
       IMPLICIT NONE
 
       CLASS(meshEdge), INTENT(inout):: edge
       CLASS(particle), INTENT(inout):: part
       REAL(8):: vRel, eRel, mRel !relative velocity, energy and mass
-      REAL(8):: ionizationRate
-      INTEGER:: ionizationPair, p
+      REAL(8):: nIonizations !Number of ionizations based on eRel
+      REAL(8):: pIonization !Probability of ionization of each event
+      INTEGER:: p
       REAL(8):: v0(1:3) !random velocity of neutral
       TYPE(particle), POINTER:: newElectron
       TYPE(particle), POINTER:: newIon
 
       SELECT TYPE(bound => edge%boundary%bTypes(part%species%n)%obj)
       TYPE IS(boundaryIonization)
-        mRel = (bound%m0*part%species%m)*(bound%m0+part%species%m)
+        mRel = reducedMass(bound%m0, part%species%m)
         vRel = SUM(DABS(part%v-bound%v0))
         eRel = mRel*vRel**2*5.D-1
 
-        IF (eRel > bound%eThreshold) THEN
-          ionizationRate = part%weight*bound%n0*bound%crossSection%get(eRel)*vRel
+        !Maximum number of possible ionizations based on relative energy
+        nIonizations = eRel/bound%eThreshold
 
-          !Rounds the number of particles up
-          ionizationPair = NINT(ionizationRate*bound%effectiveTime/bound%species%weight)
+        DO p = 1, FLOOR(nIonizations)
+          !Get probability of ionization
+          pIonization = 1.D0 - DEXP(-bound%n0*bound%crossSection%get(eRel)*vRel*bound%effectiveTime/nIonizations)
 
-          !Create the new pair of particles
-          DO p = 1, ionizationPair
+          !If a random number is below the probability of ionization, create new pair of ion-electron
+          IF (random() < pIonization) THEN
             !Assign random velocity to the neutral
             v0(1) = bound%v0(1) + bound%vTh*randomMaxwellian()
             v0(2) = bound%v0(2) + bound%vTh*randomMaxwellian()
@@ -159,7 +162,7 @@ MODULE moduleMeshBoundary
             newElectron%xi = mesh%vols(part%vol)%obj%phy2log(newElectron%r)
             newIon%xi      = newElectron%xi
 
-            newElectron%weight = bound%species%weight
+            newElectron%weight = part%weight
             newIon%weight      = newElectron%weight
 
             newElectron%n_in = .TRUE.
@@ -171,9 +174,13 @@ MODULE moduleMeshBoundary
             CALL partSurfaces%add(newIon)
             CALL OMP_UNSET_LOCK(lockSurfaces)
 
-          END DO
+            !Electron loses energy due to ionization
+            eRel = eRel - bound%eThreshold
+            vRel = 2.D0*DSQRT(eRel)/mRel
 
-        END IF
+          END IF
+
+        END DO
 
       END SELECT
 
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 26f5ce1..fef500e 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -252,12 +252,22 @@ MODULE moduleInject
       CLASS(injectGeneric), INTENT(in):: self
       INTEGER:: randomX
       INTEGER, SAVE:: nMin, nMax !Min and Max index in partInj array
+      INTEGER:: i
       INTEGER:: n, sp
       CLASS(meshEdge), POINTER:: randomEdge
 
       !Insert particles
       !$OMP SINGLE
-      nMin = SUM(inject(1:(self%id-1))%nParticles) + 1
+      nMin = 0
+      DO i = 1, self%id -1
+        IF (solver%pusher(inject(i)%species%n)%pushSpecies) THEN 
+          nMin = nMin + inject(i)%nParticles
+
+        END IF
+
+      END DO
+
+      nMin = nMin + 1
       nMax = nMin + self%nParticles - 1
       !Assign weight to particle.
       partInj(nMin:nMax)%weight = self%species%weight

From 2ee58b6b771fdb45e68e8073e528712ad4eac674 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 12 Dec 2022 17:36:10 +0100
Subject: [PATCH 055/203] Small change to ionization boundary

Very small change in formats to better account the ionization processes.
Minimum impact in results.
---
 src/modules/mesh/moduleMeshBoundary.f90 | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 91edb35..c5f3fc3 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -116,7 +116,7 @@ MODULE moduleMeshBoundary
       CLASS(meshEdge), INTENT(inout):: edge
       CLASS(particle), INTENT(inout):: part
       REAL(8):: vRel, eRel, mRel !relative velocity, energy and mass
-      REAL(8):: nIonizations !Number of ionizations based on eRel
+      INTEGER:: nIonizations !Number of ionizations based on eRel
       REAL(8):: pIonization !Probability of ionization of each event
       INTEGER:: p
       REAL(8):: v0(1:3) !random velocity of neutral
@@ -130,11 +130,11 @@ MODULE moduleMeshBoundary
         eRel = mRel*vRel**2*5.D-1
 
         !Maximum number of possible ionizations based on relative energy
-        nIonizations = eRel/bound%eThreshold
+        nIonizations = FLOOR(eRel/bound%eThreshold)
 
-        DO p = 1, FLOOR(nIonizations)
+        DO p = 1, nIonizations
           !Get probability of ionization
-          pIonization = 1.D0 - DEXP(-bound%n0*bound%crossSection%get(eRel)*vRel*bound%effectiveTime/nIonizations)
+          pIonization = 1.D0 - DEXP(-bound%n0*bound%crossSection%get(eRel)*vRel*bound%effectiveTime/REAL(nIonizations))
 
           !If a random number is below the probability of ionization, create new pair of ion-electron
           IF (random() < pIonization) THEN

From c7d205e4dd05892e3a08fdf7ceb3aaff66e95e13 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 12 Dec 2022 17:57:18 +0100
Subject: [PATCH 056/203] fix possible issue in particle injection

---
 src/modules/moduleInject.f90 | 1 +
 1 file changed, 1 insertion(+)

diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index fef500e..6b8c7a0 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -156,6 +156,7 @@ MODULE moduleInject
 
       !Calculates cumulative probability
       ALLOCATE(self%cumWeight(1:self%nEdges))
+      et = 1
       self%cumWeight(1) = mesh%edges(self%edges(et))%obj%weight
       DO et = 2, self%nEdges
         self%cumWeight(et) = mesh%edges(self%edges(et))%obj%weight + self%cumWeight(et-1)

From b2eb7c562281b361256063df4018e2aa63c743c8 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Wed, 14 Dec 2022 16:22:59 +0100
Subject: [PATCH 057/203] First commit for average scheme

New module defined that will take care of averaging the output in the
nodes.
---
 src/makefile                  |  2 +-
 src/modules/makefile          |  2 +-
 src/modules/moduleAverage.f90 | 65 +++++++++++++++++++++++++++++++++++
 src/modules/moduleMath.f90    | 11 ++++++
 src/modules/moduleOutput.f90  | 64 ++++++++++++++++++++++++++++++----
 src/modules/moduleSolver.f90  | 16 +++++++++
 6 files changed, 151 insertions(+), 9 deletions(-)
 create mode 100644 src/modules/moduleAverage.f90

diff --git a/src/makefile b/src/makefile
index 9022723..24ad089 100644
--- a/src/makefile
+++ b/src/makefile
@@ -4,7 +4,7 @@ OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/module
 			  	$(OBJDIR)/moduleBoundary.o $(OBJDIR)/moduleCaseParam.o $(OBJDIR)/moduleRefParam.o \
 			  	$(OBJDIR)/moduleCollisions.o $(OBJDIR)/moduleTable.o $(OBJDIR)/moduleParallel.o \
 			  	$(OBJDIR)/moduleEM.o $(OBJDIR)/moduleRandom.o $(OBJDIR)/moduleMath.o \
-					$(OBJDIR)/moduleProbe.o \
+					$(OBJDIR)/moduleProbe.o $(OBJDIR)/moduleAverage.o \
 			  	$(OBJDIR)/moduleMeshInputGmsh2.o $(OBJDIR)/moduleMeshOutputGmsh2.o \
 			  	$(OBJDIR)/moduleMeshInput0D.o $(OBJDIR)/moduleMeshOutput0D.o \
 			  	$(OBJDIR)/moduleMesh3DCart.o \
diff --git a/src/modules/makefile b/src/modules/makefile
index c83d436..d3931f4 100644
--- a/src/modules/makefile
+++ b/src/modules/makefile
@@ -25,7 +25,7 @@ moduleList.o: moduleConstParam.o moduleErrors.o moduleCaseParam.o moduleSpecies.
 moduleOutput.o: moduleMath.o moduleRefParam.o moduleOutput.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleSolver.o: moduleProbe.o moduleEM.o moduleSolver.f90
+moduleSolver.o: moduleProbe.o moduleEM.o moduleAverage.o moduleSolver.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
 moduleProbe.o: mesh.o moduleProbe.f90
diff --git a/src/modules/moduleAverage.f90 b/src/modules/moduleAverage.f90
new file mode 100644
index 0000000..9b614c0
--- /dev/null
+++ b/src/modules/moduleAverage.f90
@@ -0,0 +1,65 @@
+MODULE moduleAverage
+  USE moduleOutput
+
+  TYPE:: averageData
+    TYPE(outputNode), ALLOCATABLE:: output(:)
+    TYPE(emNode):: emData
+
+  END TYPE averageData
+
+  !Generic type for average scheme
+  TYPE, PUBLIC:: averageGeneric
+    INTEGER:: tStart !Starting iteartion for average scheme
+    TYPE(averageData), ALLOCATABLE:: mean(:)
+    TYPE(averageData), ALLOCATABLE:: deviation(:)
+    CONTAINS
+      PROCEDURE, PASS:: updateAverage
+
+  END TYPE averageGeneric
+
+  TYPE(averageGeneric):: averageScheme
+
+  !Logical to determine if average scheme must be used
+  LOGICAL:: useAverage
+
+  CONTAINS
+    !Based on Welford's online algorithm
+    SUBROUTINE updateAverage(self, t)
+      USE moduleMesh
+      USE moduleSpecies
+      USE moduleOutput
+      IMPLICIT NONE
+
+      CLASS(averageGeneric), INTENT(inout):: self
+      INTEGER, INTENT(in):: t
+      INTEGER:: tAverage
+      INTEGER:: n, s
+      TYPE(averageData):: newAverage
+
+      tAverage = t - self%tStart
+
+      IF (tAverage == 1) THEN
+        !First iteration in which average scheme is used
+        DO n = 1, mesh%numNodes
+          !Copy current data as mean
+          self%mean(n)%output(:) = mesh%nodes(n)%obj%output(:)
+
+        END DO
+
+      ELSEIF (tAverage > 1) THEN
+        !Normal average step
+        DO n = 1, mesh%numNodes
+          DO s = 1, nSpecies
+            newAverage%output(s) =  self%mean(n)%output(s) + (mesh%nodes(n)%obj%output(s) - self%mean(n)%output(s))/tAverage
+
+          END DO
+
+          self%mean(n)%output(:) = newAverage%output(:)
+
+        END DO
+
+      END IF
+        
+    END SUBROUTINE updateAverage
+
+END MODULE moduleAverage
diff --git a/src/modules/moduleMath.f90 b/src/modules/moduleMath.f90
index ca8d780..adb0d24 100644
--- a/src/modules/moduleMath.f90
+++ b/src/modules/moduleMath.f90
@@ -59,4 +59,15 @@ MODULE moduleMath
 
     END FUNCTION
 
+    FUNCTION tensorTrace(a) RESULT(t)
+      IMPLICIT NONE
+
+      REAL(8), DIMENSION(1:3,1:3):: a
+      REAL(8):: t
+
+      t = 0.D0
+      t = a(1,1)+a(2,2)+a(3,3)
+
+    END FUNCTION tensorTrace
+
 END MODULE moduleMath
diff --git a/src/modules/moduleOutput.f90 b/src/modules/moduleOutput.f90
index ecc5462..9cb23a7 100644
--- a/src/modules/moduleOutput.f90
+++ b/src/modules/moduleOutput.f90
@@ -1,9 +1,19 @@
 !Contains information about output
 MODULE moduleOutput
   IMPLICIT NONE
+
   !Output for each node 
-  TYPE outputNode
+  TYPE, PUBLIC:: outputNode
     REAL(8):: den = 0.D0, mom(1:3) = 0.D0, tensorS(1:3,1:3) = 0.D0
+    CONTAINS
+      PROCEDURE, PASS(self), PRIVATE:: copyOutputNode
+      PROCEDURE, PASS(self), PRIVATE:: addOutputNode
+      PROCEDURE, PASS(self), PRIVATE:: subOutputNode
+      PROCEDURE, PASS(self), PRIVATE:: divOutputNode_int
+      GENERIC, PUBLIC :: ASSIGNMENT(=) => copyOutputNode
+      GENERIC, PUBLIC :: OPERATOR(+) => addOutputNode
+      GENERIC, PUBLIC :: OPERATOR(-) => subOutputNode
+      GENERIC, PUBLIC :: OPERATOR(/) => divOutputNode_int
 
   END TYPE
 
@@ -32,16 +42,56 @@ MODULE moduleOutput
   LOGICAL:: emOutput   = .FALSE.
 
   CONTAINS
-    FUNCTION tensorTrace(a) RESULT(t)
+    PURE SUBROUTINE copyOutputNode(self, from)
       IMPLICIT NONE
 
-      REAL(8), DIMENSION(1:3,1:3):: a
-      REAL(8):: t
+      CLASS(outputNode), INTENT(inout):: self
+      CLASS(outputNode), INTENT(in):: from
 
-      t = 0.D0
-      t = a(1,1)+a(2,2)+a(3,3)
+      self%den     = from%den
+      self%mom     = from%mom
+      self%tensorS = from%tensorS
 
-    END FUNCTION tensorTrace
+    END SUBROUTINE copyOutputNode
+
+    PURE FUNCTION addOutputNode(self, that) RESULT(total)
+      IMPLICIT NONE
+
+      CLASS(outputNode), INTENT(in):: self
+      CLASS(outputNode), INTENT(in):: that
+      TYPE(outputNode):: total
+
+      total%den     = self%den     + that%den
+      total%mom     = self%mom     + that%mom
+      total%tensorS = self%tensorS + that%tensorS
+
+    END FUNCTION addOutputNode
+
+    PURE FUNCTION subOutputNode(self, that) RESULT(total)
+      IMPLICIT NONE
+
+      CLASS(outputNode), INTENT(in):: self
+      CLASS(outputNode), INTENT(in):: that
+      TYPE(outputNode):: total
+
+      total%den     = self%den     - that%den
+      total%mom     = self%mom     - that%mom
+      total%tensorS = self%tensorS - that%tensorS
+
+    END FUNCTION subOutputNode
+
+    PURE FUNCTION divOutputNode_int(self, that) RESULT(total)
+      IMPLICIT NONE
+
+      CLASS(outputNode), INTENT(in):: self
+      INTEGER, INTENT(in):: that
+      TYPE(outputNode):: total
+
+      total%den     = self%den     / REAL(that)
+      total%mom     = self%mom     / REAL(that)
+      total%tensorS = self%tensorS / REAL(that)
+
+    END FUNCTION divOutputNode_int
 
     SUBROUTINE calculateOutput(rawValues, formatValues, nodeVol, speciesIn)
       USE moduleConstParam
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index 017a321..7182184 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -1,4 +1,5 @@
 MODULE moduleSolver
+  USE moduleAverage
 
   !Generic type for pusher of particles
   TYPE, PUBLIC:: pusherGeneric
@@ -15,6 +16,7 @@ MODULE moduleSolver
   !Generic type for solver
   TYPE, PUBLIC:: solverGeneric
     TYPE(pusherGeneric), ALLOCATABLE:: pusher(:)
+    TYPE(averageGeneric), ALLOCATABLE:: averageScheme
     PROCEDURE(solveEM_interface), POINTER, NOPASS:: solveEM => NULL()
     PROCEDURE(weightingScheme_interface), POINTER, NOPASS:: weightingScheme => NULL()
     CONTAINS
@@ -818,5 +820,19 @@ MODULE moduleSolver
 
     END SUBROUTINE doOutput
 
+    SUBROUTINE doAverage(t)
+      USE moduleAverage
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: t
+
+      IF (useAverage) THEN
+        CALL averageScheme%updateAverage(t)
+
+      END IF
+
+    END SUBROUTINE doAverage
+
+
 END MODULE moduleSolver
 

From c5c4cbefbfd34a53f87eb06865c35cecbf014c2b Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Wed, 14 Dec 2022 18:30:14 +0100
Subject: [PATCH 058/203] Output ready

Output for Gmsh2 ready.

Unfortunatly, code repetition was required.
---
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 |  7 +-
 .../inout/gmsh2/moduleMeshOutputGmsh2.f90     | 82 ++++++++++++++++++-
 src/modules/mesh/moduleMesh.f90               | 17 +++-
 src/modules/moduleAverage.f90                 |  4 +-
 src/modules/moduleSolver.f90                  |  6 ++
 5 files changed, 106 insertions(+), 10 deletions(-)

diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index 0a3a557..7832843 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -13,9 +13,10 @@ MODULE moduleMeshInputGmsh2
       IF (ASSOCIATED(meshForMCC, self)) self%printColl => printCollGmsh2
       SELECT TYPE(self)
       TYPE IS(meshParticles)
-        self%printOutput => printOutputGmsh2
-        self%printEM     => printEMGmsh2
-        self%readInitial => readInitialGmsh2
+        self%printOutput  => printOutputGmsh2
+        self%printEM      => printEMGmsh2
+        self%readInitial  => readInitialGmsh2
+        self%printAverage => printAverageGmsh2
 
       END SELECT
       self%readMesh    => readGmsh2
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index 40eda4f..106480a 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -21,7 +21,7 @@ MODULE moduleMeshOutputGmsh2
 
       DO i = 1, nSpecies
         WRITE(tstring, iterationFormat) t
-        fileName='OUTPUT_' // tstring// '_' // species(i)%obj%name // '.msh'
+        fileName= 'OUTPUT_' // tstring// '_' // species(i)%obj%name // '.msh'
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (60, file = path // folder // '/' //  fileName)
         WRITE(60, "(A)") '$MeshFormat'
@@ -226,4 +226,84 @@ MODULE moduleMeshOutputGmsh2
 
     END SUBROUTINE printEMGmsh2
 
+    !Prints the average properties of particles into the nodes
+    SUBROUTINE printAverageGmsh2(self)
+      USE moduleMesh
+      USE moduleRefParam
+      USE moduleSpecies
+      USE moduleOutput
+      USE moduleAverage
+      IMPLICIT NONE
+
+      CLASS(meshParticles), INTENT(in):: self
+      INTEGER:: n, i
+      TYPE(outputFormat):: output(1:self%numNodes)
+      CHARACTER(:), ALLOCATABLE:: fileName
+
+      DO i = 1, nSpecies
+        fileName= 'Average_mean_OUTPUT_' // species(i)%obj%name // '.msh'
+        WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
+        OPEN (60, file = path // folder // '/' //  fileName)
+        WRITE(60, "(A)") '$MeshFormat'
+        WRITE(60, "(A)") '2.2 0 8'
+        WRITE(60, "(A)") '$EndMeshFormat'
+        WRITE(60, "(A)") '$NodeData'
+        WRITE(60, "(A)") '1'
+        WRITE(60, "(A)") '"' // species(i)%obj%name // ' density (m^-3)"'
+        WRITE(60, *) 1
+        WRITE(60, *) 0.D0
+        WRITE(60, *) 3
+        WRITE(60, *) 0
+        WRITE(60, *) 1
+        WRITE(60, *) self%numNodes
+        DO n=1, self%numNodes
+          CALL calculateOutput(averageScheme%mean(n)%output(i), output(n), self%nodes(n)%obj%v, species(i)%obj)
+          WRITE(60, "(I6,ES20.6E3)") n, output(n)%density
+        END DO
+        WRITE(60, "(A)") '$EndNodeData'
+        WRITE(60, "(A)") '$NodeData'
+        WRITE(60, "(A)") '1'
+        WRITE(60, "(A)") '"' // species(i)%obj%name // ' velocity (m s^-1)"'
+        WRITE(60, *) 1
+        WRITE(60, *) 0.D0
+        WRITE(60, *) 3
+        WRITE(60, *) 0
+        WRITE(60, *) 3
+        WRITE(60, *) self%numNodes
+        DO n=1, self%numNodes
+          WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%velocity
+        END DO
+        WRITE(60, "(A)") '$EndNodeData'
+        WRITE(60, "(A)") '$NodeData'
+        WRITE(60, "(A)") '1'
+        WRITE(60, "(A)") '"' // species(i)%obj%name // ' pressure (Pa)"'
+        WRITE(60, *) 1
+        WRITE(60, *) 0.D0
+        WRITE(60, *) 3
+        WRITE(60, *) 0
+        WRITE(60, *) 1
+        WRITE(60, *) self%numNodes
+        DO n=1, self%numNodes
+          WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%pressure
+        END DO
+        WRITE(60, "(A)") '$EndNodeData'
+        WRITE(60, "(A)") '$NodeData'
+        WRITE(60, "(A)") '1'
+        WRITE(60, "(A)") '"' // species(i)%obj%name // ' temperature (K)"'
+        WRITE(60, *) 1
+        WRITE(60, *) 0.D0
+        WRITE(60, *) 3
+        WRITE(60, *) 0
+        WRITE(60, *) 1
+        WRITE(60, *) self%numNodes
+        DO n=1, self%numNodes
+          WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%temperature
+        END DO
+        WRITE(60, "(A)") '$EndNodeData'
+        CLOSE (60)
+
+      END DO
+
+    END SUBROUTINE printAverageGmsh2
+
 END MODULE moduleMeshOutputGmsh2
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index ebbbed4..05c4b85 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -289,7 +289,7 @@ MODULE moduleMesh
     CONTAINS
       PROCEDURE, PASS:: doCollisions
 
-  END TYPE
+  END TYPE meshGeneric
 
   ABSTRACT INTERFACE
     !Reads the mesh from a file
@@ -338,9 +338,10 @@ MODULE moduleMesh
     REAL(8), ALLOCATABLE, DIMENSION(:,:):: K 
     !Permutation matrix for P L U factorization
     INTEGER, ALLOCATABLE, DIMENSION(:,:):: IPIV
-    PROCEDURE(printOutput_interface), POINTER, PASS:: printOutput => NULL()
-    PROCEDURE(printEM_interface),     POINTER, PASS:: printEM     => NULL()
-    PROCEDURE(doCoulomb_interface),   POINTER, PASS:: doCoulomb   => NULL()
+    PROCEDURE(printOutput_interface),  POINTER, PASS:: printOutput  => NULL()
+    PROCEDURE(printEM_interface),      POINTER, PASS:: printEM      => NULL()
+    PROCEDURE(doCoulomb_interface),    POINTER, PASS:: doCoulomb    => NULL()
+    PROCEDURE(printAverage_interface), POINTER, PASS:: printAverage => NULL()
     CONTAINS
       PROCEDURE, PASS:: constructGlobalK
 
@@ -373,6 +374,14 @@ MODULE moduleMesh
 
     END SUBROUTINE printEM_interface
 
+    !Prints average values
+    SUBROUTINE printAverage_interface(self)
+      IMPORT meshParticles
+
+      CLASS(meshParticles), INTENT(in):: self
+
+    END SUBROUTINE printAverage_interface
+
 
   END INTERFACE
 
diff --git a/src/modules/moduleAverage.f90 b/src/modules/moduleAverage.f90
index 9b614c0..b697389 100644
--- a/src/modules/moduleAverage.f90
+++ b/src/modules/moduleAverage.f90
@@ -9,7 +9,7 @@ MODULE moduleAverage
 
   !Generic type for average scheme
   TYPE, PUBLIC:: averageGeneric
-    INTEGER:: tStart !Starting iteartion for average scheme
+    INTEGER:: tStart = 0 !Starting iteartion for average scheme
     TYPE(averageData), ALLOCATABLE:: mean(:)
     TYPE(averageData), ALLOCATABLE:: deviation(:)
     CONTAINS
@@ -20,7 +20,7 @@ MODULE moduleAverage
   TYPE(averageGeneric):: averageScheme
 
   !Logical to determine if average scheme must be used
-  LOGICAL:: useAverage
+  LOGICAL:: useAverage = .FALSE.
 
   CONTAINS
     !Based on Welford's online algorithm
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index 7182184..4d0ec0d 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -818,6 +818,12 @@ MODULE moduleSolver
 
       END IF
 
+      !Output average values
+      IF (useAverage .AND. t == tFinal) THEN
+        CALL mesh%printAverage()
+
+      END IF
+
     END SUBROUTINE doOutput
 
     SUBROUTINE doAverage(t)

From 38d28887ffa3b78cc5070f5cd91da8780cc6d2b9 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 15 Dec 2022 08:35:00 +0100
Subject: [PATCH 059/203] Implementation of average scheme and testing

New input variables to activate the average scheme.
Still only computing the mean, no the standard deviation.

Output checked  with ALPHIE Grid example. Looks good.

No impact on CPU time, although testing is still required.
---
 src/fpakc.f90                 |  2 ++
 src/modules/moduleAverage.f90 |  6 +++++-
 src/modules/moduleInput.f90   | 36 +++++++++++++++++++++++++++++++++++
 3 files changed, 43 insertions(+), 1 deletion(-)

diff --git a/src/fpakc.f90 b/src/fpakc.f90
index 03d0bbb..1224f53 100644
--- a/src/fpakc.f90
+++ b/src/fpakc.f90
@@ -114,6 +114,8 @@ PROGRAM fpakc
     !$OMP SINGLE
     tEMField = omp_get_wtime() - tEMField
 
+    CALL doAverage(t)
+
     tStep = omp_get_wtime() - tStep
 
     !Output data
diff --git a/src/modules/moduleAverage.f90 b/src/modules/moduleAverage.f90
index b697389..bbea577 100644
--- a/src/modules/moduleAverage.f90
+++ b/src/modules/moduleAverage.f90
@@ -9,7 +9,7 @@ MODULE moduleAverage
 
   !Generic type for average scheme
   TYPE, PUBLIC:: averageGeneric
-    INTEGER:: tStart = 0 !Starting iteartion for average scheme
+    INTEGER:: tStart = 1 !Starting iteartion for average scheme
     TYPE(averageData), ALLOCATABLE:: mean(:)
     TYPE(averageData), ALLOCATABLE:: deviation(:)
     CONTAINS
@@ -47,6 +47,8 @@ MODULE moduleAverage
         END DO
 
       ELSEIF (tAverage > 1) THEN
+        ALLOCATE(newAverage%output(1:nSpecies))
+
         !Normal average step
         DO n = 1, mesh%numNodes
           DO s = 1, nSpecies
@@ -58,6 +60,8 @@ MODULE moduleAverage
 
         END DO
 
+        DEALLOCATE(newAverage%output)
+
       END IF
         
     END SUBROUTINE updateAverage
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index de6cc65..3463f9e 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -75,6 +75,11 @@ MODULE moduleInput
       CALL readInject(config)
       CALL checkStatus(config, "readInject")
 
+      !Read average scheme
+      CALL verboseError('Reading average scheme...')
+      CALL readAverage(config)
+      CALL checkStatus(config, "readAverage")
+
       !Read parallel parameters
       CALL verboseError('Reading Parallel configuration...')
       CALL readParallel(config)
@@ -1180,6 +1185,37 @@ MODULE moduleInput
       
     END SUBROUTINE readInject
 
+    SUBROUTINE readAverage(config)
+      USE moduleAverage
+      USE moduleCaseParam, ONLY: tauMin
+      USE moduleMesh, ONLY: mesh
+      USE moduleSpecies, ONLY: nSpecies
+      IMPLICIT NONE
+
+      TYPE(json_file), INTENT(inout):: config
+      LOGICAL:: found
+      REAL(8):: tStart
+      INTEGER:: n
+
+      CALL config%info('average', found)
+      IF (found) THEN
+        useAverage = .TRUE.
+        CALL config%get('average.startTime', tStart, found)
+
+        IF (found) THEN
+          averageScheme%tStart = INT(tStart / tauMin)
+
+        END IF
+        ALLOCATE(averageScheme%mean(1:mesh%numNodes))
+        DO n = 1, mesh%numNodes
+          ALLOCATE(averageScheme%mean(n)%output(1:nSpecies))
+
+        END DO
+
+      END IF
+
+    END SUBROUTINE readAverage
+
     !Reads the velocity distribution functions for each inject
     SUBROUTINE readVelDistr(config, inj, object)
       USE moduleErrors

From 5509332980ff6bcdb2e23325eafbda3ef895b415 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 15 Dec 2022 11:40:24 +0100
Subject: [PATCH 060/203] Output of standard deviation

The output for the standard deviation (still Gmsh2 only) was added.

Change in the output routines to reduce code repetition.
---
 src/modules/makefile                          |   2 +-
 .../inout/gmsh2/moduleMeshOutputGmsh2.f90     | 295 +++++++++---------
 src/modules/moduleAverage.f90                 |  63 ++--
 src/modules/moduleInput.f90                   |   9 +-
 src/modules/moduleOutput.f90                  |  60 +++-
 src/modules/moduleSolver.f90                  |  19 +-
 6 files changed, 256 insertions(+), 192 deletions(-)

diff --git a/src/modules/makefile b/src/modules/makefile
index d3931f4..f1545dc 100644
--- a/src/modules/makefile
+++ b/src/modules/makefile
@@ -7,7 +7,7 @@ OBJS = moduleCaseParam.o moduleCompTime.o moduleList.o \
 
 all: $(OBJS)
 
-mesh.o: moduleCollisions.o moduleBoundary.o
+mesh.o: moduleCollisions.o moduleBoundary.o moduleAverage.o
 	$(MAKE) -C mesh all
 
 moduleCollisions.o: moduleList.o moduleMath.o moduleRandom.o moduleTable.o moduleSpecies.o moduleRefParam.o moduleConstParam.o moduleCollisions.f90
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index 106480a..2dcb7f6 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -1,6 +1,84 @@
 MODULE moduleMeshOutputGmsh2
 
   CONTAINS
+    !Header for mesh format
+    SUBROUTINE writeGmsh2HeaderMesh(fileID)
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: fileID
+
+      WRITE(fileID, "(A)") '$MeshFormat'
+      WRITE(fileID, "(A)") '2.2 0 8'
+      WRITE(fileID, "(A)") '$EndMeshFormat'
+
+    END SUBROUTINE writeGmsh2HeaderMesh
+
+    !Node data subroutines
+    !Header
+    SUBROUTINE writeGmsh2HeaderNodeData(fileID, title, iteration, time, dimensions, nNodes)
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: fileID
+      CHARACTER(*), INTENT(in):: title
+      INTEGER, INTENT(in):: iteration, dimensions, nNodes
+      REAL(8), INTENT(in):: time
+
+
+      WRITE(fileID, "(A)") '$NodeData'
+      WRITE(fileID, "(I10)") 1
+      WRITE(fileID, "(A1, A, A1)") '"' , title , '"'
+      WRITE(fileID, "(I10)") 1
+      WRITE(fileID, "(ES20.6E3)") time
+      WRITE(fileID, "(I10)") 3
+      WRITE(fileID, "(I10)") iteration
+      WRITE(fileID, "(I10)") dimensions
+      WRITE(fileID, "(I10)") nNodes
+
+    END SUBROUTINE writeGmsh2HeaderNodeData
+
+    !Footer
+    SUBROUTINE writeGmsh2FooterNodeData(fileID)
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: fileID
+
+      WRITE(fileID, "(A)") '$EndNodeData'
+
+    END SUBROUTINE writeGmsh2FooterNodeData
+
+    !Element data subroutines
+    !Header
+    SUBROUTINE writeGmsh2HeaderElementData(fileID, title, iteration, time, dimensions, nVols)
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: fileID
+      CHARACTER(*), INTENT(in):: title
+      INTEGER, INTENT(in):: iteration, dimensions, nVols
+      REAL(8), INTENT(in):: time
+
+
+      WRITE(fileID, "(A)") '$ElementData'
+      WRITE(fileID, "(I10)") 1
+      WRITE(fileID, "(A1, A, A1)") '"' , title , '"'
+      WRITE(fileID, "(I10)") 1
+      WRITE(fileID, "(ES20.6E3)") time
+      WRITE(fileID, "(I10)") 3
+      WRITE(fileID, "(I10)") iteration
+      WRITE(fileID, "(I10)") dimensions
+      WRITE(fileID, "(I10)") nVols
+
+    END SUBROUTINE writeGmsh2HeaderElementData
+
+    !Footer
+    SUBROUTINE writeGmsh2FooterElementData(fileID)
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: fileID
+
+      WRITE(fileID, "(A)") '$EndElementData'
+
+    END SUBROUTINE writeGmsh2FooterElementData
+
     !Prints the scattered properties of particles into the nodes
     SUBROUTINE printOutputGmsh2(self, t)
       USE moduleMesh
@@ -24,62 +102,33 @@ MODULE moduleMeshOutputGmsh2
         fileName= 'OUTPUT_' // tstring// '_' // species(i)%obj%name // '.msh'
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (60, file = path // folder // '/' //  fileName)
-        WRITE(60, "(A)") '$MeshFormat'
-        WRITE(60, "(A)") '2.2 0 8'
-        WRITE(60, "(A)") '$EndMeshFormat'
-        WRITE(60, "(A)") '$NodeData'
-        WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"' // species(i)%obj%name // ' density (m^-3)"'
-        WRITE(60, *) 1
-        WRITE(60, *) time
-        WRITE(60, *) 3
-        WRITE(60, *) t
-        WRITE(60, *) 1
-        WRITE(60, *) self%numNodes
+
+        CALL writeGmsh2HeaderMesh(60)
+
+        CALL writeGmsh2HeaderNodeData(60, species(i)%obj%name // ' density (m^-3)', t, time, 1, self%numNodes)
         DO n=1, self%numNodes
           CALL calculateOutput(self%nodes(n)%obj%output(i), output(n), self%nodes(n)%obj%v, species(i)%obj)
           WRITE(60, "(I6,ES20.6E3)") n, output(n)%density
         END DO
-        WRITE(60, "(A)") '$EndNodeData'
-        WRITE(60, "(A)") '$NodeData'
-        WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"' // species(i)%obj%name // ' velocity (m s^-1)"'
-        WRITE(60, *) 1
-        WRITE(60, *) time
-        WRITE(60, *) 3
-        WRITE(60, *) t
-        WRITE(60, *) 3
-        WRITE(60, *) self%numNodes
+        CALL writeGmsh2FooterNodeData(60)
+
+        CALL writeGmsh2HeaderNodeData(60, species(i)%obj%name // ' velocity (m s^-1)', t, time, 3, self%numNodes)
         DO n=1, self%numNodes
           WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%velocity
         END DO
-        WRITE(60, "(A)") '$EndNodeData'
-        WRITE(60, "(A)") '$NodeData'
-        WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"' // species(i)%obj%name // ' pressure (Pa)"'
-        WRITE(60, *) 1
-        WRITE(60, *) time
-        WRITE(60, *) 3
-        WRITE(60, *) t
-        WRITE(60, *) 1
-        WRITE(60, *) self%numNodes
+        CALL writeGmsh2FooterNodeData(60)
+
+        CALL writeGmsh2HeaderNodeData(60, species(i)%obj%name // ' Pressure (Pa)', t, time, 1, self%numNodes)
         DO n=1, self%numNodes
           WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%pressure
         END DO
-        WRITE(60, "(A)") '$EndNodeData'
-        WRITE(60, "(A)") '$NodeData'
-        WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"' // species(i)%obj%name // ' temperature (K)"'
-        WRITE(60, *) 1
-        WRITE(60, *) time
-        WRITE(60, *) 3
-        WRITE(60, *) t
-        WRITE(60, *) 1
-        WRITE(60, *) self%numNodes
+        CALL writeGmsh2FooterNodeData(60)
+
+        CALL writeGmsh2HeaderNodeData(60, species(i)%obj%name // ' Temperature (K)', t, time, 1, self%numNodes)
         DO n=1, self%numNodes
           WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%temperature
         END DO
-        WRITE(60, "(A)") '$EndNodeData'
+        CALL writeGmsh2FooterNodeData(60)
         CLOSE (60)
 
       END DO
@@ -103,6 +152,7 @@ MODULE moduleMeshOutputGmsh2
       REAL(8):: time
       CHARACTER(:), ALLOCATABLE:: fileName
       CHARACTER (LEN=iterationDigits):: tstring
+      CHARACTER(:), ALLOCATABLE:: title
 
       SELECT TYPE(self)
       TYPE IS(meshParticles)
@@ -123,25 +173,20 @@ MODULE moduleMeshOutputGmsh2
         fileName='OUTPUT_' // tstring// '_Collisions.msh'
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (60, file = path // folder // '/' //  fileName)
-        WRITE(60, "(A)") '$MeshFormat'
-        WRITE(60, "(A)") '2.2 0 8'
-        WRITE(60, "(A)") '$EndMeshFormat'
+
+        CALL writeGmsh2HeaderMesh(60)
+
         DO k = 1, nCollPairs
           DO c = 1, interactionMatrix(k)%amount
-            WRITE(60, "(A)") '$ElementData'
-            WRITE(60, "(A)") '1'
-            WRITE(60, "(5A,I2)") '"Pair ', interactionMatrix(k)%sp_i%name, '-', interactionMatrix(k)%sp_j%name, ' collision ', c
-            WRITE(60, *) 1
-            WRITE(60, *) time
-            WRITE(60, *) 3
-            WRITE(60, *) t
-            WRITE(60, *) 1
-            WRITE(60, *) self%numVols
+            WRITE(title, "(5A,I2)") '"Pair ', interactionMatrix(k)%sp_i%name, '-', interactionMatrix(k)%sp_j%name, ' collision ', c
+            CALL writeGmsh2HeaderElementData(60, title, t, time, 1, self%numVols)
             DO n=1, self%numVols
               WRITE(60, "(I6,I10)") n + numEdges, self%vols(n)%obj%tallyColl(k)%tally(c)
             END DO
-            WRITE(60, "(A)") '$EndElementData'
+            CALL writeGmsh2FooterElementData(60)
+
           END DO
+
         END DO
 
         CLOSE(60)
@@ -175,50 +220,26 @@ MODULE moduleMeshOutputGmsh2
         fileName='OUTPUT_' // tstring// '_EMField.msh'
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (20, file = path // folder // '/' //  fileName)
-        WRITE(20, "(A)") '$MeshFormat'
-        WRITE(20, "(A)") '2.2 0 8'
-        WRITE(20, "(A)") '$EndMeshFormat'
-        WRITE(20, "(A)") '$NodeData'
-        WRITE(20, "(A)") '1'
-        WRITE(20, "(A)") '"Potential (V)"'
-        WRITE(20, *) 1
-        WRITE(20, *) time
-        WRITE(20, *) 3
-        WRITE(20, *) t
-        WRITE(20, *) 1
-        WRITE(20, *) self%numNodes
+
+        CALL writeGmsh2HeaderMesh(20)
+
+        CALL writeGmsh2HeaderNodeData(20, 'Potential (V)', t, time, 1, self%numNodes)
         DO n=1, self%numNodes
           WRITE(20, *) n, self%nodes(n)%obj%emData%phi*Volt_ref
         END DO
-        WRITE(20, "(A)") '$EndNodeData'
+        CALL writeGmsh2FooterNodeData(20)
         
-        WRITE(20, "(A)") '$ElementData'
-        WRITE(20, "(A)") '1'
-        WRITE(20, "(A)") '"Electric Field (V m^-1)"'
-        WRITE(20, *) 1
-        WRITE(20, *) time
-        WRITE(20, *) 3
-        WRITE(20, *) t
-        WRITE(20, *) 3
-        WRITE(20, *) self%numVols
+        CALL writeGmsh2HeaderElementData(20, 'Electric Field (V m^-1)', t, time, 3, self%numVols)
         DO e=1, self%numVols
           WRITE(20, *) e+self%numEdges, self%vols(e)%obj%gatherEF(xi)*EF_ref
         END DO
-        WRITE(20, "(A)") '$EndElementData'
+        CALL writeGmsh2FooterElementData(20)
 
-        WRITE(20, "(A)") '$NodeData'
-        WRITE(20, "(A)") '1'
-        WRITE(20, "(A)") '"Magnetic Field (T)"'
-        WRITE(20, *) 1
-        WRITE(20, *) time
-        WRITE(20, *) 3
-        WRITE(20, *) t
-        WRITE(20, *) 3
-        WRITE(20, *) self%numNodes
+        CALL writeGmsh2HeaderNodeData(20, 'Magnetic Field (T)', t, time, 3, self%numNodes)
         DO n=1, self%numNodes
           WRITE(20, *) n, self%nodes(n)%obj%emData%B * B_ref
         END DO
-        WRITE(20, "(A)") '$EndNodeData'
+        CALL writeGmsh2FooterNodeData(20)
 
         CLOSE(20)
 
@@ -237,70 +258,62 @@ MODULE moduleMeshOutputGmsh2
 
       CLASS(meshParticles), INTENT(in):: self
       INTEGER:: n, i
-      TYPE(outputFormat):: output(1:self%numNodes)
+      TYPE(outputFormat), DIMENSION(1:self%numNodes):: outputMean, outputDeviation
       CHARACTER(:), ALLOCATABLE:: fileName
+      INTEGER:: fileMean=10, fileDeviation=20
 
       DO i = 1, nSpecies
-        fileName= 'Average_mean_OUTPUT_' // species(i)%obj%name // '.msh'
+        fileName= 'Average_mean_' // species(i)%obj%name // '.msh'
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
-        OPEN (60, file = path // folder // '/' //  fileName)
-        WRITE(60, "(A)") '$MeshFormat'
-        WRITE(60, "(A)") '2.2 0 8'
-        WRITE(60, "(A)") '$EndMeshFormat'
-        WRITE(60, "(A)") '$NodeData'
-        WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"' // species(i)%obj%name // ' density (m^-3)"'
-        WRITE(60, *) 1
-        WRITE(60, *) 0.D0
-        WRITE(60, *) 3
-        WRITE(60, *) 0
-        WRITE(60, *) 1
-        WRITE(60, *) self%numNodes
+        OPEN (fileMean, file = path // folder // '/' //  fileName)
+
+        fileName= 'Average_deviation_' // species(i)%obj%name // '.msh'
+        WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
+        OPEN (filedeviation, file = path // folder // '/' //  fileName)
+
+        CALL writeGmsh2HeaderMesh(fileMean)
+        CALL writeGmsh2HeaderMesh(fileDeviation)
+
+        CALL writeGmsh2HeaderNodeData(fileMean,      species(i)%obj%name // ' density, mean (m^-3)', 0, 0.D0, 1, self%numNodes)
+        CALL writeGmsh2HeaderNodeData(fileDeviation, species(i)%obj%name // ' density, sd (m^-3)', 0, 0.D0, 1, self%numNodes)
         DO n=1, self%numNodes
-          CALL calculateOutput(averageScheme%mean(n)%output(i), output(n), self%nodes(n)%obj%v, species(i)%obj)
-          WRITE(60, "(I6,ES20.6E3)") n, output(n)%density
+          CALL calculateOutput(averageScheme(n)%mean%output(i),      outputMean(n),      self%nodes(n)%obj%v, species(i)%obj)
+          WRITE(fileMean,      "(I6,ES20.6E3)") n, outputMean(n)%density
+          CALL calculateOutput(averageScheme(n)%deviation%output(i), outputDeviation(n), self%nodes(n)%obj%v, species(i)%obj)
+          WRITE(fileDeviation, "(I6,ES20.6E3)") n, outputDeviation(n)%density
         END DO
-        WRITE(60, "(A)") '$EndNodeData'
-        WRITE(60, "(A)") '$NodeData'
-        WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"' // species(i)%obj%name // ' velocity (m s^-1)"'
-        WRITE(60, *) 1
-        WRITE(60, *) 0.D0
-        WRITE(60, *) 3
-        WRITE(60, *) 0
-        WRITE(60, *) 3
-        WRITE(60, *) self%numNodes
+        CALL writeGmsh2FooterNodeData(fileMean)
+        CALL writeGmsh2FooterNodeData(fileDeviation)
+
+        CALL writeGmsh2HeaderNodeData(fileMean,      species(i)%obj%name // ' velocity, mean (m s^-1)', 0, 0.D0, 3, self%numNodes)
+        CALL writeGmsh2HeaderNodeData(fileDeviation, species(i)%obj%name // ' velocity, sd (m s^-1)', 0, 0.D0, 3, self%numNodes)
         DO n=1, self%numNodes
-          WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%velocity
+          WRITE(fileMean,      "(I6,3(ES20.6E3))") n, outputMean(n)%velocity
+          WRITE(fileDeviation, "(I6,3(ES20.6E3))") n, outputDeviation(n)%velocity
         END DO
-        WRITE(60, "(A)") '$EndNodeData'
-        WRITE(60, "(A)") '$NodeData'
-        WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"' // species(i)%obj%name // ' pressure (Pa)"'
-        WRITE(60, *) 1
-        WRITE(60, *) 0.D0
-        WRITE(60, *) 3
-        WRITE(60, *) 0
-        WRITE(60, *) 1
-        WRITE(60, *) self%numNodes
+        CALL writeGmsh2FooterNodeData(fileMean)
+        CALL writeGmsh2FooterNodeData(fileDeviation)
+
+        CALL writeGmsh2HeaderNodeData(fileMean,      species(i)%obj%name // ' Pressure, mean (Pa)', 0, 0.D0, 1, self%numNodes)
+        CALL writeGmsh2HeaderNodeData(fileDeviation, species(i)%obj%name // ' Pressure, sd (Pa)', 0, 0.D0, 1, self%numNodes)
         DO n=1, self%numNodes
-          WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%pressure
+          WRITE(fileMean,      "(I6,3(ES20.6E3))") n, outputMean(n)%pressure
+          WRITE(fileDeviation, "(I6,3(ES20.6E3))") n, outputDeviation(n)%pressure
         END DO
-        WRITE(60, "(A)") '$EndNodeData'
-        WRITE(60, "(A)") '$NodeData'
-        WRITE(60, "(A)") '1'
-        WRITE(60, "(A)") '"' // species(i)%obj%name // ' temperature (K)"'
-        WRITE(60, *) 1
-        WRITE(60, *) 0.D0
-        WRITE(60, *) 3
-        WRITE(60, *) 0
-        WRITE(60, *) 1
-        WRITE(60, *) self%numNodes
+        CALL writeGmsh2FooterNodeData(fileMean)
+        CALL writeGmsh2FooterNodeData(fileDeviation)
+
+        CALL writeGmsh2HeaderNodeData(fileMean,      species(i)%obj%name // ' Temperature, mean (K)', 0, 0.D0, 1, self%numNodes)
+        CALL writeGmsh2HeaderNodeData(fileDeviation, species(i)%obj%name // ' Temperature, sd (K)', 0, 0.D0, 1, self%numNodes)
         DO n=1, self%numNodes
-          WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%temperature
+          WRITE(fileMean,      "(I6,3(ES20.6E3))") n, outputMean(n)%temperature
+          WRITE(fileDeviation, "(I6,3(ES20.6E3))") n, outputDeviation(n)%temperature
         END DO
-        WRITE(60, "(A)") '$EndNodeData'
-        CLOSE (60)
+        CALL writeGmsh2FooterNodeData(fileMean)
+        CALL writeGmsh2FooterNodeData(fileDeviation)
+
+        CLOSE (fileMean)
+        CLOSE(fileDeviation)
 
       END DO
 
diff --git a/src/modules/moduleAverage.f90 b/src/modules/moduleAverage.f90
index bbea577..8d705d5 100644
--- a/src/modules/moduleAverage.f90
+++ b/src/modules/moduleAverage.f90
@@ -9,60 +9,63 @@ MODULE moduleAverage
 
   !Generic type for average scheme
   TYPE, PUBLIC:: averageGeneric
-    INTEGER:: tStart = 1 !Starting iteartion for average scheme
-    TYPE(averageData), ALLOCATABLE:: mean(:)
-    TYPE(averageData), ALLOCATABLE:: deviation(:)
+    TYPE(averageData):: mean
+    TYPE(averageData):: deviation
     CONTAINS
+      PROCEDURE, PASS:: firstAverage
       PROCEDURE, PASS:: updateAverage
 
   END TYPE averageGeneric
 
-  TYPE(averageGeneric):: averageScheme
+  TYPE(averageGeneric), ALLOCATABLE:: averageScheme(:)
 
   !Logical to determine if average scheme must be used
   LOGICAL:: useAverage = .FALSE.
+  INTEGER:: tAverageStart = 1 !Starting iteartion for average scheme
 
   CONTAINS
-    !Based on Welford's online algorithm
-    SUBROUTINE updateAverage(self, t)
-      USE moduleMesh
-      USE moduleSpecies
+    PURE SUBROUTINE firstAverage(self, output)
       USE moduleOutput
       IMPLICIT NONE
 
       CLASS(averageGeneric), INTENT(inout):: self
-      INTEGER, INTENT(in):: t
-      INTEGER:: tAverage
-      INTEGER:: n, s
-      TYPE(averageData):: newAverage
+      TYPE(outputNode), INTENT(in):: output(:)
 
-      tAverage = t - self%tStart
+      !Copy current data as mean
+      self%mean%output(:) = output(:)
 
-      IF (tAverage == 1) THEN
-        !First iteration in which average scheme is used
-        DO n = 1, mesh%numNodes
-          !Copy current data as mean
-          self%mean(n)%output(:) = mesh%nodes(n)%obj%output(:)
+      !Set deviation at 0
+      self%deviation%output(:) = 0.D0
 
-        END DO
+    END SUBROUTINE firstAverage
 
-      ELSEIF (tAverage > 1) THEN
-        ALLOCATE(newAverage%output(1:nSpecies))
 
-        !Normal average step
-        DO n = 1, mesh%numNodes
-          DO s = 1, nSpecies
-            newAverage%output(s) =  self%mean(n)%output(s) + (mesh%nodes(n)%obj%output(s) - self%mean(n)%output(s))/tAverage
+    !Based on Welford's online algorithm
+    SUBROUTINE updateAverage(self, output, tAverage)
+      USE moduleOutput
+      USE moduleSpecies, ONLY: nSpecies
+      IMPLICIT NONE
 
-          END DO
+      CLASS(averageGeneric), INTENT(inout):: self
+      TYPE(outputNode), INTENT(in):: output(:)
+      INTEGER, INTENT(in):: tAverage
+      TYPE(averageData):: newMean, newDeviation
 
-          self%mean(n)%output(:) = newAverage%output(:)
+      ALLOCATE(newMean%output(1:nSpecies))
+      ALLOCATE(newDeviation%output(1:nSpecies))
 
-        END DO
+      newMean%output(:) =  self%mean%output(:) + (output(:) - self%mean%output(:))/tAverage
 
-        DEALLOCATE(newAverage%output)
+      newDeviation%output(:) = self%deviation%output(:) + ((output(:) - self%mean%output(:)) * &
+                                                           (output(:) - newMean%output(:))   - &
+                                                           self%deviation%output(:))/tAverage
 
-      END IF
+      self%mean%output(:) = newMean%output(:)
+
+      self%deviation%output(:) = newDeviation%output(:)
+
+      DEALLOCATE(newMean%output)
+      DEALLOCATE(newDeviation%output)
         
     END SUBROUTINE updateAverage
 
diff --git a/src/modules/moduleInput.f90 b/src/modules/moduleInput.f90
index 3463f9e..348edf3 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/moduleInput.f90
@@ -1203,12 +1203,15 @@ MODULE moduleInput
         CALL config%get('average.startTime', tStart, found)
 
         IF (found) THEN
-          averageScheme%tStart = INT(tStart / tauMin)
+          tAverageStart = INT(tStart / tauMin)
 
         END IF
-        ALLOCATE(averageScheme%mean(1:mesh%numNodes))
+
+        ALLOCATE(averageScheme(1:mesh%numNodes))
+
         DO n = 1, mesh%numNodes
-          ALLOCATE(averageScheme%mean(n)%output(1:nSpecies))
+          ALLOCATE(averageScheme(n)%mean%output(1:nSpecies))
+          ALLOCATE(averageScheme(n)%deviation%output(1:nSpecies))
 
         END DO
 
diff --git a/src/modules/moduleOutput.f90 b/src/modules/moduleOutput.f90
index 9cb23a7..18fbb7f 100644
--- a/src/modules/moduleOutput.f90
+++ b/src/modules/moduleOutput.f90
@@ -6,14 +6,17 @@ MODULE moduleOutput
   TYPE, PUBLIC:: outputNode
     REAL(8):: den = 0.D0, mom(1:3) = 0.D0, tensorS(1:3,1:3) = 0.D0
     CONTAINS
-      PROCEDURE, PASS(self), PRIVATE:: copyOutputNode
-      PROCEDURE, PASS(self), PRIVATE:: addOutputNode
-      PROCEDURE, PASS(self), PRIVATE:: subOutputNode
-      PROCEDURE, PASS(self), PRIVATE:: divOutputNode_int
-      GENERIC, PUBLIC :: ASSIGNMENT(=) => copyOutputNode
-      GENERIC, PUBLIC :: OPERATOR(+) => addOutputNode
-      GENERIC, PUBLIC :: OPERATOR(-) => subOutputNode
-      GENERIC, PUBLIC :: OPERATOR(/) => divOutputNode_int
+      PROCEDURE, PASS(self), PRIVATE:: outputNode_equal_outputNode
+      PROCEDURE, PASS(self), PRIVATE:: outputNode_equal_real
+      PROCEDURE, PASS(self), PRIVATE:: outputNode_add_outputNode
+      PROCEDURE, PASS(self), PRIVATE:: outputNode_sub_outputNode
+      PROCEDURE, PASS(self), PRIVATE:: outputNode_mul_outputNode
+      PROCEDURE, PASS(self), PRIVATE:: outputNode_div_int
+      GENERIC, PUBLIC :: ASSIGNMENT(=) => outputNode_equal_outputNode, outputNode_equal_real
+      GENERIC, PUBLIC :: OPERATOR(+)   => outputNode_add_outputNode
+      GENERIC, PUBLIC :: OPERATOR(-)   => outputNode_sub_outputNode
+      GENERIC, PUBLIC :: OPERATOR(*)   => outputNode_mul_outputNode
+      GENERIC, PUBLIC :: OPERATOR(/)   => outputNode_div_int
 
   END TYPE
 
@@ -42,7 +45,7 @@ MODULE moduleOutput
   LOGICAL:: emOutput   = .FALSE.
 
   CONTAINS
-    PURE SUBROUTINE copyOutputNode(self, from)
+    PURE SUBROUTINE outputNode_equal_outputNode(self, from)
       IMPLICIT NONE
 
       CLASS(outputNode), INTENT(inout):: self
@@ -52,9 +55,21 @@ MODULE moduleOutput
       self%mom     = from%mom
       self%tensorS = from%tensorS
 
-    END SUBROUTINE copyOutputNode
+    END SUBROUTINE outputNode_equal_outputNode
 
-    PURE FUNCTION addOutputNode(self, that) RESULT(total)
+    PURE ELEMENTAL SUBROUTINE outputNode_equal_real(self, from)
+      IMPLICIT NONE
+
+      CLASS(outputNode), INTENT(inout):: self
+      REAL(8), INTENT(in):: from
+
+      self%den     = from
+      self%mom     = from
+      self%tensorS = from
+
+    END SUBROUTINE outputNode_equal_real
+
+    PURE ELEMENTAL FUNCTION outputNode_add_outputNode(self, that) RESULT(total)
       IMPLICIT NONE
 
       CLASS(outputNode), INTENT(in):: self
@@ -65,9 +80,9 @@ MODULE moduleOutput
       total%mom     = self%mom     + that%mom
       total%tensorS = self%tensorS + that%tensorS
 
-    END FUNCTION addOutputNode
+    END FUNCTION outputNode_add_outputNode
 
-    PURE FUNCTION subOutputNode(self, that) RESULT(total)
+    PURE ELEMENTAL FUNCTION outputNode_sub_outputNode(self, that) RESULT(total)
       IMPLICIT NONE
 
       CLASS(outputNode), INTENT(in):: self
@@ -78,9 +93,22 @@ MODULE moduleOutput
       total%mom     = self%mom     - that%mom
       total%tensorS = self%tensorS - that%tensorS
 
-    END FUNCTION subOutputNode
+    END FUNCTION outputNode_sub_outputNode
 
-    PURE FUNCTION divOutputNode_int(self, that) RESULT(total)
+    PURE ELEMENTAL FUNCTION outputNode_mul_outputNode(self, that) RESULT(total)
+      IMPLICIT NONE
+
+      CLASS(outputNode), INTENT(in):: self
+      CLASS(outputNode), INTENT(in):: that
+      TYPE(outputNode):: total
+
+      total%den     = self%den     * that%den
+      total%mom     = self%mom     * that%mom
+      total%tensorS = self%tensorS * that%tensorS
+
+    END FUNCTION outputNode_mul_outputNode
+
+    PURE ELEMENTAL FUNCTION outputNode_div_int(self, that) RESULT(total)
       IMPLICIT NONE
 
       CLASS(outputNode), INTENT(in):: self
@@ -91,7 +119,7 @@ MODULE moduleOutput
       total%mom     = self%mom     / REAL(that)
       total%tensorS = self%tensorS / REAL(that)
 
-    END FUNCTION divOutputNode_int
+    END FUNCTION outputNode_div_int
 
     SUBROUTINE calculateOutput(rawValues, formatValues, nodeVol, speciesIn)
       USE moduleConstParam
diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index 4d0ec0d..be78420 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -828,12 +828,29 @@ MODULE moduleSolver
 
     SUBROUTINE doAverage(t)
       USE moduleAverage
+      USE moduleMesh
       IMPLICIT NONE
 
       INTEGER, INTENT(in):: t
+      INTEGER:: tAverage, n
+
 
       IF (useAverage) THEN
-        CALL averageScheme%updateAverage(t)
+        tAverage = t - tAverageStart
+
+        IF (tAverage == 1) THEN
+          !First iteration in which average scheme is used
+          DO n = 1, mesh%numNodes
+            CALL averageScheme(n)%firstAverage(mesh%nodes(n)%obj%output)
+
+          END DO
+        ELSEIF (tAverage > 1) THEN
+          DO n = 1, mesh%numNodes
+            CALL averageScheme(n)%updateAverage(mesh%nodes(n)%obj%output, tAverage)
+
+          END DO
+
+        END IF
 
       END IF
 

From cab07447b590e734567ba6e33db14ea187ef5873 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 16 Dec 2022 19:27:10 +0100
Subject: [PATCH 061/203] Averge scheme documented

Documentation of the average scheme for species properties.
---
 doc/user-manual/bibliography.bib     |  11 +++++++++++
 doc/user-manual/fpakc_UserManual.pdf | Bin 174638 -> 181016 bytes
 doc/user-manual/fpakc_UserManual.tex |  28 +++++++++++++++++++++++++--
 3 files changed, 37 insertions(+), 2 deletions(-)

diff --git a/doc/user-manual/bibliography.bib b/doc/user-manual/bibliography.bib
index 0ef1811..878b7ee 100644
--- a/doc/user-manual/bibliography.bib
+++ b/doc/user-manual/bibliography.bib
@@ -51,4 +51,15 @@
   howpublished = {\url{https://gmsh.info/}},
 }
 
+@Article{welford1962note,
+  author    = {Welford, BP},
+  journal   = {Technometrics},
+  title     = {Note on a method for calculating corrected sums of squares and products},
+  year      = {1962},
+  number    = {3},
+  pages     = {419--420},
+  volume    = {4},
+  publisher = {Taylor \& Francis},
+}
+
 @Comment{jabref-meta: databaseType:bibtex;}
diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index b41f809..e5c0d4f 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -1,4 +1,4 @@
-\documentclass[10pt,a4paper,oneside]{book}
+\documentclass[10pt,a4paper,twoside]{book}
 \usepackage[latin1]{inputenc}
 \usepackage{amsmath}
 \usepackage{amsfonts}
@@ -22,6 +22,7 @@
     Author   = {Jorge Gonzalez}
   }
 }
+\usepackage[margin=1in]{geometry} % Reduces margins of the document
 % Allows breaking of URL in bibliography.
 \setcounter{biburllcpenalty}{7000}
 \setcounter{biburlucpenalty}{8000}
@@ -260,6 +261,18 @@
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Electromagnetic field}
       WIP.
+    
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+    \section{Average scheme}
+      Particle-in-cell codes has an intrinsic statistical noise associated with them.
+      Although this can be reduced by increasing the number of particles, this also increases the CPU requirements of the case.
+      
+      It is quite common that most cases reach a quasi-steady state after a number of iterations and time-average results can be obtained after to improve analysis, plotting and restarting the case using these time-average results as new species backgrounds.
+      Although this is possible to do once the simulation is finished with post-processing tools, this is limited to the amount of iterations printed.
+      
+      \Gls{fpakc} implements a simple average scheme that, after a start time provided by the user, scores a mean and standard deviation of all the main species properties, and the electromagnetic field.
+      This scheme is based on the Welford's online algorithm~\cite{welford1962note}.
+      The averaged data is written in the same format as the input mesh at the end of the simulation.
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  
   \chapter{Installation}
@@ -642,7 +655,7 @@ make
           \item \textbf{initialTime}: Real.
                                       Units of $\unit{s}$.
                                       Initial simulation time.
-                                      If no value is provided, the initial time is set to $\unit[0]{s}$.
+                                      If no value is provided, the initial time is set to $\unit[0.0]{s}$.
           \item \textbf{pusher}: Character.
                                  Array dimension 'number of species'.
                                  Indicates the type of pusher used for each species:
@@ -684,6 +697,17 @@ make
                                                             File must be located at \textbf{output.path}.
                                   \end{itemize}
         \end{itemize}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+      \subsection{average}
+        This object determines the use of an average scheme.
+        If this object exists in the input file, average will be written at the end of the simulation.
+        Acceptable values are:
+        \begin{itemize}
+          \item \textbf{startTime}: Real.
+                                    Units in $\unit{s}$.
+                                    Simulation physical time in which average scheme will start to compute the mean and standard validation.
+                                    If no value is provided, the initial time is set to $\unit[0.0]{s}$.
+        \end{itemize}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
       \subsection{interactions}\label{ssec:input_interactions}
         This object determine the different interactions among species.

From dd1fca3fee5dad0bf31e7a93ef333cd5da335aa8 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Tue, 20 Dec 2022 15:51:43 +0100
Subject: [PATCH 062/203] Fix for node volume

An issue in the node volume calculation in cylindrical coordinates was
found. This was causing wrong conservation of current. Still to test
with ALPHIE_Grid case.

Still to check triangular element.
Still to theck 1D radial geometry
---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90        | 15 +++++++++++++--
 .../mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90    | 10 ++++++----
 2 files changed, 19 insertions(+), 6 deletions(-)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 0a6b7f4..0ac01f3 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -249,7 +249,7 @@ MODULE moduleMesh2DCyl
       dr  = self%r(2) - self%r(1)
       dz  = self%z(2) - self%z(1)
       IF (dr /= 0.D0) THEN
-        r(2) = dr*DSQRT(rnd) + self%r(1)
+        r(2) = dr * DSQRT(rnd) + self%r(1)
         r(1) = dz * (r(2) - self%r(1))/dr + self%z(1)
 
       ELSE
@@ -320,7 +320,18 @@ MODULE moduleMesh2DCyl
       fPsi = self%fPsi(xi)
       r = DOT_PRODUCT(fPsi,self%r)
       self%volume  =      r*detJ
-      self%arNodes = fPsi*r*detJ
+      xi = (/-5.D-1, -5.D-1, 0.D0/)
+      r = DOT_PRODUCT(self%fPsi(xi),self%r)
+      self%arNodes(1) = fPsi(1)*r*detJ
+      xi = (/ 5.D-1, -5.D-1, 0.D0/)
+      r = DOT_PRODUCT(self%fPsi(xi),self%r)
+      self%arNodes(2) = fPsi(2)*r*detJ
+      xi = (/ 5.D-1,  5.D-1, 0.D0/)
+      r = DOT_PRODUCT(self%fPsi(xi),self%r)
+      self%arNodes(3) = fPsi(3)*r*detJ
+      xi = (/-5.D-1,  5.D-1, 0.D0/)
+      r = DOT_PRODUCT(self%fPsi(xi),self%r)
+      self%arNodes(4) = fPsi(4)*r*detJ
 
     END SUBROUTINE areaQuad
 
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index 2dcb7f6..7eade3e 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -151,8 +151,9 @@ MODULE moduleMeshOutputGmsh2
       INTEGER:: n
       REAL(8):: time
       CHARACTER(:), ALLOCATABLE:: fileName
-      CHARACTER (LEN=iterationDigits):: tstring
+      CHARACTER (LEN=iterationDigits):: tString
       CHARACTER(:), ALLOCATABLE:: title
+      CHARACTER (LEN=2):: cString
 
       SELECT TYPE(self)
       TYPE IS(meshParticles)
@@ -168,9 +169,9 @@ MODULE moduleMeshOutputGmsh2
 
       IF (collOutput) THEN
         time = DBLE(t)*tauMin*ti_ref
-        WRITE(tstring, iterationFormat) t
+        WRITE(tString, iterationFormat) t
 
-        fileName='OUTPUT_' // tstring// '_Collisions.msh'
+        fileName='OUTPUT_' // tString// '_Collisions.msh'
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (60, file = path // folder // '/' //  fileName)
 
@@ -178,7 +179,8 @@ MODULE moduleMeshOutputGmsh2
 
         DO k = 1, nCollPairs
           DO c = 1, interactionMatrix(k)%amount
-            WRITE(title, "(5A,I2)") '"Pair ', interactionMatrix(k)%sp_i%name, '-', interactionMatrix(k)%sp_j%name, ' collision ', c
+            WRITE(cString, "(I2)") c
+            title = '"Pair ' // interactionMatrix(k)%sp_i%name // '-' // interactionMatrix(k)%sp_j%name // ' collision ' // cString
             CALL writeGmsh2HeaderElementData(60, title, t, time, 1, self%numVols)
             DO n=1, self%numVols
               WRITE(60, "(I6,I10)") n + numEdges, self%vols(n)%obj%tallyColl(k)%tally(c)

From e9c86b4678ba9447c0f7cab1f683f4273147e5ce Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 24 Dec 2022 11:30:20 +0100
Subject: [PATCH 063/203] Modification of Weighting scheme

The weighting scheme has been modified so that particles are splitted
without modifying the weight.

I have to look a bit more into this.
---
 src/modules/moduleSolver.f90 | 22 ++++++++--------------
 1 file changed, 8 insertions(+), 14 deletions(-)

diff --git a/src/modules/moduleSolver.f90 b/src/modules/moduleSolver.f90
index be78420..d0b2d01 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/moduleSolver.f90
@@ -660,24 +660,18 @@ MODULE moduleSolver
       TYPE(particle), INTENT(inout):: part
       CLASS(meshVol), POINTER, INTENT(in):: volOld
       CLASS(meshVol), POINTER, INTENT(inout):: volNew
-      REAL(8):: fractionVolume, fractionWeight
-      INTEGER:: nSplit
+      REAL(8):: fractionVolume, pSplit
 
-      !If particle has change cell, call Weighting scheme
-      IF (volOld%n /= volNew%n) THEN
+      !If particle changes volume to smaller cell
+      IF (volOld%volume > volNew%volume) THEN
         fractionVolume = volOld%volume/volNew%volume
 
-        part%weight = part%weight * fractionVolume
+        !Calculate probability of splitting particle
+        pSplit = 1.D0 - DEXP(-fractionVolume)
 
-        fractionWeight = part%weight / part%species%weight
-
-        IF (fractionWeight >= 2.D0) THEN
-          nSplit = FLOOR(fractionWeight)
-          CALL splitParticle(part, nSplit, volNew)
-
-        ELSEIF (part%weight < 1.D0) THEN
-          !Particle has lost statistical meaning and will be terminated
-          part%n_in = .FALSE.
+        IF (random() < pSplit THEN
+          !Split particle in two
+          CALL splitParticle(part, 2, volNew)
 
         END IF
 

From a8bea6102f362b62d83fc323fc118d412e8e0329 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 24 Dec 2022 11:41:12 +0100
Subject: [PATCH 064/203] Final commit for volume nodes

1D Rad is fixed.

Still there might be an issue with the triangles in 2D Cyl.
---
 src/modules/mesh/1DRad/moduleMesh1DRad.f90 | 11 +++++++++--
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 |  6 +++++-
 2 files changed, 14 insertions(+), 3 deletions(-)

diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 57619ee..660a313 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -260,10 +260,17 @@ MODULE moduleMesh1DRad
       Xii = 0.D0
       fPsi = self%fPsi(Xii)
       detJ = self%detJac(Xii)
+      !Computes total volume of the cell
       r    = DOT_PRODUCT(fPsi, self%r)
       l = 2.D0*detJ
-      self%volume  =      r*l
-      self%arNodes = fPsi*r*l
+      self%volume  = r*l
+      !Computes volume per node
+      xi = (/-5.D-1,  0.D0, 0.D0/)
+      r = DOT_PRODUCT(self%fPsi(xi),self%r)
+      self%arNodes(1) = fPsi(1)*r*l
+      xi = (/ 5.D-1,  0.D0, 0.D0/)
+      r = DOT_PRODUCT(self%fPsi(xi),self%r)
+      self%arNodes(2) = fPsi(2)*r*l
 
     END SUBROUTINE areaRad
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 0ac01f3..c576c71 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -318,8 +318,10 @@ MODULE moduleMesh2DCyl
       xi = 0.D0
       detJ = self%detJac(xi)*PI8 !4*2*pi
       fPsi = self%fPsi(xi)
+      !Computes total volume of the cell
       r = DOT_PRODUCT(fPsi,self%r)
-      self%volume  =      r*detJ
+      self%volume  = r*detJ
+      !Computes volume per node
       xi = (/-5.D-1, -5.D-1, 0.D0/)
       r = DOT_PRODUCT(self%fPsi(xi),self%r)
       self%arNodes(1) = fPsi(1)*r*detJ
@@ -712,8 +714,10 @@ MODULE moduleMesh2DCyl
       xi = (/1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
       detJ  = self%detJac(xi)*PI !2PI*1/2
       fPsi  = self%fPsi(xi)
+      !Computes total volume of the cell
       r = DOT_PRODUCT(fPsi,self%r)
       self%volume  =      r*detJ
+      !Computes volume per node
       self%arNodes = fPsi*r*detJ
 
     END SUBROUTINE areaTria

From d9a18695647f4b84d3237ff05dbb39717f6320f8 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 24 Dec 2022 12:59:23 +0100
Subject: [PATCH 065/203] Reorganization of solver

I started grouping similar modules in subfolders to ease the expansion
process.
---
 src/makefile                                  |   6 +-
 src/modules/makefile                          |  21 +-
 src/modules/mesh/1DRad/moduleMesh1DRad.f90    |   8 +-
 src/modules/mesh/makefile                     |   3 +
 src/modules/output/makefile                   |   7 +
 src/modules/{ => output}/moduleAverage.f90    |   0
 src/modules/{ => output}/moduleOutput.f90     |   0
 src/modules/solver/electromagnetic/makefile   |   8 +
 .../{ => solver/electromagnetic}/moduleEM.f90 |  46 +++
 src/modules/solver/makefile                   |  13 +
 src/modules/{ => solver}/moduleSolver.f90     | 285 +-----------------
 src/modules/solver/pusher/makefile            |   4 +
 src/modules/solver/pusher/modulePusher.f90    | 237 +++++++++++++++
 13 files changed, 341 insertions(+), 297 deletions(-)
 create mode 100644 src/modules/output/makefile
 rename src/modules/{ => output}/moduleAverage.f90 (100%)
 rename src/modules/{ => output}/moduleOutput.f90 (100%)
 create mode 100644 src/modules/solver/electromagnetic/makefile
 rename src/modules/{ => solver/electromagnetic}/moduleEM.f90 (73%)
 create mode 100644 src/modules/solver/makefile
 rename src/modules/{ => solver}/moduleSolver.f90 (64%)
 create mode 100644 src/modules/solver/pusher/makefile
 create mode 100644 src/modules/solver/pusher/modulePusher.f90

diff --git a/src/makefile b/src/makefile
index 24ad089..2a421f8 100644
--- a/src/makefile
+++ b/src/makefile
@@ -1,4 +1,4 @@
-OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/moduleCompTime.o $(OBJDIR)/moduleSolver.o \
+OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/moduleCompTime.o \
 			  	$(OBJDIR)/moduleSpecies.o $(OBJDIR)/moduleInject.o $(OBJDIR)/moduleInput.o \
 			  	$(OBJDIR)/moduleErrors.o $(OBJDIR)/moduleList.o $(OBJDIR)/moduleOutput.o \
 			  	$(OBJDIR)/moduleBoundary.o $(OBJDIR)/moduleCaseParam.o $(OBJDIR)/moduleRefParam.o \
@@ -12,7 +12,9 @@ OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/module
 			  	$(OBJDIR)/moduleMesh2DCart.o \
           $(OBJDIR)/moduleMesh1DRad.o  \
           $(OBJDIR)/moduleMesh1DCart.o \
-          $(OBJDIR)/moduleMesh0D.o
+          $(OBJDIR)/moduleMesh0D.o     \
+          $(OBJDIR)/moduleSolver.o     \
+					$(OBJDIR)/modulePusher.o
 
 
 all: $(OUTPUT)
diff --git a/src/modules/makefile b/src/modules/makefile
index f1545dc..5b6aa11 100644
--- a/src/modules/makefile
+++ b/src/modules/makefile
@@ -1,19 +1,24 @@
 
 OBJS = moduleCaseParam.o moduleCompTime.o moduleList.o \
-		   moduleOutput.o moduleInput.o moduleSolver.o \
+		   output.o moduleInput.o solver.o \
 			 moduleCollisions.o moduleTable.o moduleParallel.o \
-			 moduleEM.o moduleRandom.o moduleMath.o \
-			 moduleProbe.o
+			 moduleRandom.o moduleMath.o moduleProbe.o
 
 all: $(OBJS)
 
-mesh.o: moduleCollisions.o moduleBoundary.o moduleAverage.o
+output.o: moduleMath.o moduleRefParam.o
+	$(MAKE) -C output all
+
+mesh.o: moduleCollisions.o moduleBoundary.o output.o
 	$(MAKE) -C mesh all
 
+solver.o: moduleSpecies.o moduleProbe.o moduleRandom.o output.o mesh.o
+	$(MAKE) -C solver all
+
 moduleCollisions.o: moduleList.o moduleMath.o moduleRandom.o moduleTable.o moduleSpecies.o moduleRefParam.o moduleConstParam.o moduleCollisions.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleInput.o: moduleParallel.o moduleSolver.o moduleInject.o moduleInput.f90
+moduleInput.o: moduleParallel.o solver.o moduleInject.o moduleInput.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
 moduleInject.o: moduleInject.f90
@@ -22,12 +27,6 @@ moduleInject.o: moduleInject.f90
 moduleList.o: moduleConstParam.o moduleErrors.o moduleCaseParam.o moduleSpecies.o moduleList.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleOutput.o: moduleMath.o moduleRefParam.o moduleOutput.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
-moduleSolver.o: moduleProbe.o moduleEM.o moduleAverage.o moduleSolver.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
 moduleProbe.o: mesh.o moduleProbe.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 660a313..b8edfdd 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -265,11 +265,11 @@ MODULE moduleMesh1DRad
       l = 2.D0*detJ
       self%volume  = r*l
       !Computes volume per node
-      xi = (/-5.D-1,  0.D0, 0.D0/)
-      r = DOT_PRODUCT(self%fPsi(xi),self%r)
+      Xii = (/-5.D-1,  0.D0, 0.D0/)
+      r = DOT_PRODUCT(self%fPsi(Xii),self%r)
       self%arNodes(1) = fPsi(1)*r*l
-      xi = (/ 5.D-1,  0.D0, 0.D0/)
-      r = DOT_PRODUCT(self%fPsi(xi),self%r)
+      Xii = (/ 5.D-1,  0.D0, 0.D0/)
+      r = DOT_PRODUCT(self%fPsi(Xii),self%r)
       self%arNodes(2) = fPsi(2)*r*l
 
     END SUBROUTINE areaRad
diff --git a/src/modules/mesh/makefile b/src/modules/mesh/makefile
index a013878..7c66c3b 100644
--- a/src/modules/mesh/makefile
+++ b/src/modules/mesh/makefile
@@ -26,3 +26,6 @@ moduleMeshBoundary.o: moduleMesh.o moduleMeshBoundary.f90
 
 inout.o: 3DCart.o 2DCyl.o 2DCart.o 1DRad.o 1DCart.o 0D.o
 	$(MAKE) -C inout all
+
+%.o: %.f90
+	$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@
diff --git a/src/modules/output/makefile b/src/modules/output/makefile
new file mode 100644
index 0000000..df42742
--- /dev/null
+++ b/src/modules/output/makefile
@@ -0,0 +1,7 @@
+all: moduleAverage.o moduleOutput.o
+
+moduleAverage.o: moduleOutput.o moduleAverage.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
+%.o: %.f90
+	$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@
diff --git a/src/modules/moduleAverage.f90 b/src/modules/output/moduleAverage.f90
similarity index 100%
rename from src/modules/moduleAverage.f90
rename to src/modules/output/moduleAverage.f90
diff --git a/src/modules/moduleOutput.f90 b/src/modules/output/moduleOutput.f90
similarity index 100%
rename from src/modules/moduleOutput.f90
rename to src/modules/output/moduleOutput.f90
diff --git a/src/modules/solver/electromagnetic/makefile b/src/modules/solver/electromagnetic/makefile
new file mode 100644
index 0000000..e4dd2fa
--- /dev/null
+++ b/src/modules/solver/electromagnetic/makefile
@@ -0,0 +1,8 @@
+all: moduleEM.o
+
+moduleEM.o: moduleEM.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
+%.o: %.f90
+	$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@
+
diff --git a/src/modules/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
similarity index 73%
rename from src/modules/moduleEM.f90
rename to src/modules/solver/electromagnetic/moduleEM.f90
index ce91858..ae73ebc 100644
--- a/src/modules/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -19,6 +19,7 @@ MODULE moduleEM
   REAL(8), ALLOCATABLE:: qSpecies(:)
 
   CONTAINS
+    !Apply boundary conditions to the K matrix for Poisson's equation
     SUBROUTINE apply(self, edge)
       USE moduleMesh
       IMPLICIT NONE
@@ -79,6 +80,7 @@ MODULE moduleEM
 
     END FUNCTION gatherMagnField
 
+    !Assemble the source vector based on the charge density to solve Poisson's equation
     SUBROUTINE assembleSourceVector(vectorF)
       USE moduleMesh
       USE moduleRefParam
@@ -142,4 +144,48 @@ MODULE moduleEM
 
     END SUBROUTINE assembleSourceVector
 
+    !Solving the Poisson equation for electrostatic potential
+    SUBROUTINE solveElecField()
+      USE moduleMesh
+      USE moduleErrors
+      IMPLICIT NONE
+
+      INTEGER, SAVE:: INFO
+      INTEGER:: n
+      REAL(8), ALLOCATABLE, SAVE:: tempF(:)
+      EXTERNAL:: dgetrs
+
+      !$OMP SINGLE
+      ALLOCATE(tempF(1:mesh%numNodes))
+      !$OMP END SINGLE
+
+      CALL assembleSourceVector(tempF)
+
+      !$OMP SINGLE
+      CALL dgetrs('N', mesh%numNodes, 1, mesh%K, mesh%numNodes, &
+                              mesh%IPIV, tempF,  mesh%numNodes, info)
+      !$OMP END SINGLE
+
+      IF (info == 0) THEN
+        !Suscessful resolution of Poission equation
+        !$OMP DO
+        DO n = 1, mesh%numNodes
+          mesh%nodes(n)%obj%emData%phi = tempF(n)
+
+        END DO
+        !$OMP END DO
+
+      ELSE
+        !$OMP SINGLE
+        CALL criticalError('Poisson equation failed', 'solveElecField')
+        !$OMP END SINGLE
+
+      END IF
+
+      !$OMP SINGLE
+      DEALLOCATE(tempF)
+      !$OMP END SINGLE
+
+    END SUBROUTINE solveElecField
+
 END MODULE moduleEM
diff --git a/src/modules/solver/makefile b/src/modules/solver/makefile
new file mode 100644
index 0000000..d50bdc8
--- /dev/null
+++ b/src/modules/solver/makefile
@@ -0,0 +1,13 @@
+all: moduleSolver.o electromagnetic.o pusher.o
+
+electromagnetic.o:
+	$(MAKE) -C electromagnetic all
+
+pusher.o:
+	$(MAKE) -C pusher all
+
+moduleSolver.o: electromagnetic.o pusher.o moduleSolver.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
+%.o: %.f90
+	$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@
diff --git a/src/modules/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
similarity index 64%
rename from src/modules/moduleSolver.f90
rename to src/modules/solver/moduleSolver.f90
index d0b2d01..58a7a71 100644
--- a/src/modules/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -62,6 +62,7 @@ MODULE moduleSolver
     !Init Pusher
     SUBROUTINE initPusher(self, pusherType, tau, tauSp)
       USE moduleErrors
+      USE modulePusher
       USE moduleMesh, ONLY: mesh
       IMPLICIT NONE
 
@@ -128,6 +129,7 @@ MODULE moduleSolver
     END SUBROUTINE initPusher
 
     SUBROUTINE initEM(self, EMType)
+      USE moduleEM
       IMPLICIT NONE
 
       CLASS(solverGeneric), INTENT(inout):: self
@@ -184,239 +186,6 @@ MODULE moduleSolver
 
     END SUBROUTINE doPushes
 
-    !Push neutral particles in cartesian coordinates
-    PURE SUBROUTINE pushCartNeutral(part, tauIn)
-      USE moduleSPecies
-      IMPLICIT NONE
-
-      TYPE(particle), INTENT(inout):: part
-      REAL(8), INTENT(in):: tauIn
-
-      part%r = part%r + part%v*tauIn
-
-    END SUBROUTINE pushCartNeutral
-
-    PURE SUBROUTINE pushCartElectrostatic(part, tauIn)
-      USE moduleSPecies
-      USE moduleEM
-      IMPLICIT NONE
-
-      TYPE(particle), INTENT(inout):: part
-      REAL(8), INTENT(in):: tauIn
-      REAL(8):: qmEFt(1:3)
-
-      !Get the electric field at particle position
-      qmEFt = part%species%qm*gatherElecField(part)*tauIn
-
-      !Update velocity
-      part%v = part%v + qmEFt
-
-      !Update position
-      part%r = part%r + part%v*tauIn
-
-    END SUBROUTINE pushCartElectrostatic
-
-    PURE SUBROUTINE pushCartElectromagnetic(part, tauIn)
-      USE moduleSPecies
-      USE moduleEM
-      USE moduleMath
-      IMPLICIT NONE
-
-      TYPE(particle), INTENT(inout):: part
-      REAL(8), INTENT(in):: tauIn
-      REAL(8):: tauInHalf
-      REAL(8):: qmEFt(1:3)
-      REAL(8):: B(1:3), BNorm
-      REAL(8):: fn
-      REAL(8):: v_minus(1:3), v_prime(1:3), v_plus(1:3)
-
-      tauInHalf = tauIn *0.5D0
-      !Half of the force o f the electric field
-      qmEFt = part%species%qm*gatherElecField(part)*tauInHalf
-
-      !Half step for electrostatic
-      v_minus = part%v + qmEFt
-
-      !Full step rotation
-      B = gatherMagnField(part)
-      BNorm = NORM2(B)
-      IF (BNorm > 0.D0) THEN
-        fn = DTAN(part%species%qm * tauInHalf*BNorm) / BNorm
-        v_prime = v_minus + fn * crossProduct(v_minus, B)
-        v_plus  = v_minus + 2.D0 * fn / (1.D0 + fn**2 * B**2)*crossProduct(v_prime, B)
-
-      END IF
-
-      !Half step for electrostatic
-      part%v = v_plus + qmEFt
-
-      !Update position
-      part%r = part%r + part%v*tauIn
-
-    END SUBROUTINE pushCartElectromagnetic
-
-    !Push one particle. Boris pusher for 2D Cyl Neutral particle
-    PURE SUBROUTINE push2DCylNeutral(part, tauIn)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      TYPE(particle), INTENT(inout):: part
-      REAL(8), INTENT(in):: tauIn
-      TYPE(particle):: part_temp
-      REAL(8):: x_new, y_new, r, sin_alpha, cos_alpha
-      REAL(8):: v_p_oh_star(2:3)
-
-      part_temp = part
-      !z
-      part_temp%v(1) = part%v(1)
-      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
-      !r,theta
-      v_p_oh_star(2) = part%v(2)
-      x_new = part%r(2) + v_p_oh_star(2)*tauIn
-      v_p_oh_star(3) = part%v(3)
-      y_new =             v_p_oh_star(3)*tauIn
-      r = DSQRT(x_new**2+y_new**2)
-      part_temp%r(2) = r
-      IF (r > 0.D0) THEN
-        sin_alpha = y_new/r
-        cos_alpha = x_new/r
-      ELSE
-        sin_alpha = 0.D0
-        cos_alpha = 1.D0
-      END IF
-      part_temp%v(2) =  cos_alpha*v_p_oh_star(2)+sin_alpha*v_p_oh_star(3)
-      part_temp%v(3) = -sin_alpha*v_p_oh_star(2)+cos_alpha*v_p_oh_star(3)
-
-      !Copy temporal particle to particle
-      part=part_temp
-
-    END SUBROUTINE push2DCylNeutral
-
-    !Push one particle. Boris pusher for 2D Cyl Electrostatic particle
-    PURE SUBROUTINE push2DCylElectrostatic(part, tauIn)
-      USE moduleSpecies
-      USE moduleEM
-      IMPLICIT NONE
-
-      TYPE(particle), INTENT(inout):: part
-      REAL(8), INTENT(in):: tauIn
-      REAL(8):: v_p_oh_star(2:3)
-      TYPE(particle):: part_temp
-      REAL(8):: x_new, y_new, r, sin_alpha, cos_alpha
-      REAL(8):: qmEFt(1:3)!charge*tauIn*EF/mass
-
-      part_temp = part
-      !Get electric field at particle position
-      qmEFt = part_temp%species%qm*gatherElecField(part_temp)*tauIn
-      !z
-      part_temp%v(1) = part%v(1) + qmEFt(1)
-      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
-      !r,theta
-      v_p_oh_star(2) = part%v(2) + qmEFt(2)
-      x_new = part%r(2) + v_p_oh_star(2)*tauIn
-      v_p_oh_star(3) = part%v(3) + qmEFt(3)
-      y_new =             v_p_oh_star(3)*tauIn
-      r = DSQRT(x_new**2+y_new**2)
-      part_temp%r(2) = r
-      IF (r > 0.D0) THEN
-        sin_alpha = y_new/r
-        cos_alpha = x_new/r
-      ELSE
-        sin_alpha = 0.D0
-        cos_alpha = 1.D0
-      END IF
-      part_temp%v(2) =  cos_alpha*v_p_oh_star(2)+sin_alpha*v_p_oh_star(3)
-      part_temp%v(3) = -sin_alpha*v_p_oh_star(2)+cos_alpha*v_p_oh_star(3)
-
-      !Copy temporal particle to particle
-      part=part_temp
-
-    END SUBROUTINE push2DCylElectrostatic
-
-    !Push one particle. Boris pusher for 1D Radial Neutral particle
-    PURE SUBROUTINE push1DRadNeutral(part, tauIn)
-      USE moduleSpecies
-      USE moduleEM
-      IMPLICIT NONE
-
-      TYPE(particle), INTENT(inout):: part
-      REAL(8), INTENT(in):: tauIn
-      REAL(8):: v_p_oh_star(1:2)
-      TYPE(particle):: part_temp
-      REAL(8):: x_new, y_new, r, sin_alpha, cos_alpha
-
-      part_temp = part
-      !r,theta
-      v_p_oh_star(1) = part%v(1)
-      x_new = part%r(1) + v_p_oh_star(1)*tauIn
-      v_p_oh_star(2) = part%v(2)
-      y_new =             v_p_oh_star(2)*tauIn
-      r = DSQRT(x_new**2+y_new**2)
-      part_temp%r(1) = r
-      IF (r > 0.D0) THEN
-        sin_alpha = y_new/r
-        cos_alpha = x_new/r
-      ELSE
-        sin_alpha = 0.D0
-        cos_alpha = 1.D0
-      END IF
-      part_temp%v(1) =  cos_alpha*v_p_oh_star(1)+sin_alpha*v_p_oh_star(2)
-      part_temp%v(2) = -sin_alpha*v_p_oh_star(1)+cos_alpha*v_p_oh_star(2)
-
-      !Copy temporal particle to particle
-      part=part_temp
-
-    END SUBROUTINE push1DRadNeutral
-
-    !Push one particle. Boris pusher for 1D Radial Electrostatic particle
-    PURE SUBROUTINE push1DRadElectrostatic(part, tauIn)
-      USE moduleSpecies
-      USE moduleEM
-      IMPLICIT NONE
-
-      TYPE(particle), INTENT(inout):: part
-      REAL(8), INTENT(in):: tauIn
-      REAL(8):: v_p_oh_star(1:2)
-      TYPE(particle):: part_temp
-      REAL(8):: x_new, y_new, r, sin_alpha, cos_alpha
-      REAL(8):: qmEFt(1:3)!charge*tauIn*EF/mass
-
-      part_temp = part
-      !Get electric field at particle position
-      qmEFt = part_temp%species%qm*gatherElecField(part_temp)*tauMin
-      !r,theta
-      v_p_oh_star(1) = part%v(1) + qmEFt(1)
-      x_new = part%r(1) + v_p_oh_star(1)*tauIn
-      v_p_oh_star(2) = part%v(2) + qmEFt(2)
-      y_new =             v_p_oh_star(2)*tauIn
-      r = DSQRT(x_new**2+y_new**2)
-      part_temp%r(1) = r
-      IF (r > 0.D0) THEN
-        sin_alpha = y_new/r
-        cos_alpha = x_new/r
-      ELSE
-        sin_alpha = 0.D0
-        cos_alpha = 1.D0
-      END IF
-      part_temp%v(1) =  cos_alpha*v_p_oh_star(1)+sin_alpha*v_p_oh_star(2)
-      part_temp%v(2) = -sin_alpha*v_p_oh_star(1)+cos_alpha*v_p_oh_star(2)
-
-      !Copy temporal particle to particle
-      part=part_temp
-
-    END SUBROUTINE push1DRadElectrostatic
-
-    !Dummy pusher for 0D geometry
-    PURE SUBROUTINE push0D(part, tauIn)
-      USE moduleSpecies
-      USE moduleEM
-      IMPLICIT NONE
-
-      TYPE(particle), INTENT(inout):: part
-      REAL(8), INTENT(in):: tauIn
-
-    END SUBROUTINE push0D
-
     !Takes the particles from a list and put them into an array
     !nStart indicates the last fill index in the array
     SUBROUTINE resetList(partList, partArray, nStart)
@@ -606,55 +375,11 @@ MODULE moduleSolver
 
     END SUBROUTINE doEMField
 
-    !Solving the Poisson equation for electrostatic potential
-    SUBROUTINE solveElecField()
-      USE moduleEM
-      USE moduleMesh
-      USE moduleErrors
-      IMPLICIT NONE
-
-      INTEGER, SAVE:: INFO
-      INTEGER:: n
-      REAL(8), ALLOCATABLE, SAVE:: tempF(:)
-      EXTERNAL:: dgetrs
-
-      !$OMP SINGLE
-      ALLOCATE(tempF(1:mesh%numNodes))
-      !$OMP END SINGLE
-
-      CALL assembleSourceVector(tempF)
-
-      !$OMP SINGLE
-      CALL dgetrs('N', mesh%numNodes, 1, mesh%K, mesh%numNodes, &
-                              mesh%IPIV, tempF,  mesh%numNodes, info)
-      !$OMP END SINGLE
-
-      IF (info == 0) THEN
-        !Suscessful resolution of Poission equation
-        !$OMP DO
-        DO n = 1, mesh%numNodes
-          mesh%nodes(n)%obj%emData%phi = tempF(n)
-
-        END DO
-        !$OMP END DO
-
-      ELSE
-        !$OMP SINGLE
-        CALL criticalError('Poisson equation failed', 'solveElecField')
-        !$OMP END SINGLE
-
-      END IF
-
-      !$OMP SINGLE
-      DEALLOCATE(tempF)
-      !$OMP END SINGLE
-
-    END SUBROUTINE solveElecField
-
-    !Modify particle weight as a function of cell volume and splits particle
+    !Split particles as a function of cell volume and splits particle
     SUBROUTINE volumeWScheme(part, volOld, volNew)
       USE moduleSpecies
       USE moduleMesh
+      USE moduleRandom
       IMPLICIT NONE
 
       TYPE(particle), INTENT(inout):: part
@@ -669,7 +394,7 @@ MODULE moduleSolver
         !Calculate probability of splitting particle
         pSplit = 1.D0 - DEXP(-fractionVolume)
 
-        IF (random() < pSplit THEN
+        IF (random() < pSplit) THEN
           !Split particle in two
           CALL splitParticle(part, 2, volNew)
 
diff --git a/src/modules/solver/pusher/makefile b/src/modules/solver/pusher/makefile
new file mode 100644
index 0000000..bf574d5
--- /dev/null
+++ b/src/modules/solver/pusher/makefile
@@ -0,0 +1,4 @@
+all: modulePusher.o
+
+%.o: %.f90
+	$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@
diff --git a/src/modules/solver/pusher/modulePusher.f90 b/src/modules/solver/pusher/modulePusher.f90
new file mode 100644
index 0000000..69fcaab
--- /dev/null
+++ b/src/modules/solver/pusher/modulePusher.f90
@@ -0,0 +1,237 @@
+MODULE modulePusher
+
+  CONTAINS
+    !Push neutral particles in cartesian coordinates
+    PURE SUBROUTINE pushCartNeutral(part, tauIn)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+
+      part%r = part%r + part%v*tauIn
+
+    END SUBROUTINE pushCartNeutral
+
+    PURE SUBROUTINE pushCartElectrostatic(part, tauIn)
+      USE moduleSPecies
+      USE moduleEM
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+      REAL(8):: qmEFt(1:3)
+
+      !Get the electric field at particle position
+      qmEFt = part%species%qm*gatherElecField(part)*tauIn
+
+      !Update velocity
+      part%v = part%v + qmEFt
+
+      !Update position
+      part%r = part%r + part%v*tauIn
+
+    END SUBROUTINE pushCartElectrostatic
+
+    PURE SUBROUTINE pushCartElectromagnetic(part, tauIn)
+      USE moduleSPecies
+      USE moduleEM
+      USE moduleMath
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+      REAL(8):: tauInHalf
+      REAL(8):: qmEFt(1:3)
+      REAL(8):: B(1:3), BNorm
+      REAL(8):: fn
+      REAL(8):: v_minus(1:3), v_prime(1:3), v_plus(1:3)
+
+      tauInHalf = tauIn *0.5D0
+      !Half of the force o f the electric field
+      qmEFt = part%species%qm*gatherElecField(part)*tauInHalf
+
+      !Half step for electrostatic
+      v_minus = part%v + qmEFt
+
+      !Full step rotation
+      B = gatherMagnField(part)
+      BNorm = NORM2(B)
+      IF (BNorm > 0.D0) THEN
+        fn = DTAN(part%species%qm * tauInHalf*BNorm) / BNorm
+        v_prime = v_minus + fn * crossProduct(v_minus, B)
+        v_plus  = v_minus + 2.D0 * fn / (1.D0 + fn**2 * B**2)*crossProduct(v_prime, B)
+
+      END IF
+
+      !Half step for electrostatic
+      part%v = v_plus + qmEFt
+
+      !Update position
+      part%r = part%r + part%v*tauIn
+
+    END SUBROUTINE pushCartElectromagnetic
+
+    !Push one particle. Boris pusher for 2D Cyl Neutral particle
+    PURE SUBROUTINE push2DCylNeutral(part, tauIn)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+      TYPE(particle):: part_temp
+      REAL(8):: x_new, y_new, r, sin_alpha, cos_alpha
+      REAL(8):: v_p_oh_star(2:3)
+
+      part_temp = part
+      !z
+      part_temp%v(1) = part%v(1)
+      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
+      !r,theta
+      v_p_oh_star(2) = part%v(2)
+      x_new = part%r(2) + v_p_oh_star(2)*tauIn
+      v_p_oh_star(3) = part%v(3)
+      y_new =             v_p_oh_star(3)*tauIn
+      r = DSQRT(x_new**2+y_new**2)
+      part_temp%r(2) = r
+      IF (r > 0.D0) THEN
+        sin_alpha = y_new/r
+        cos_alpha = x_new/r
+      ELSE
+        sin_alpha = 0.D0
+        cos_alpha = 1.D0
+      END IF
+      part_temp%v(2) =  cos_alpha*v_p_oh_star(2)+sin_alpha*v_p_oh_star(3)
+      part_temp%v(3) = -sin_alpha*v_p_oh_star(2)+cos_alpha*v_p_oh_star(3)
+
+      !Copy temporal particle to particle
+      part=part_temp
+
+    END SUBROUTINE push2DCylNeutral
+
+    !Push one particle. Boris pusher for 2D Cyl Electrostatic particle
+    PURE SUBROUTINE push2DCylElectrostatic(part, tauIn)
+      USE moduleSpecies
+      USE moduleEM
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+      REAL(8):: v_p_oh_star(2:3)
+      TYPE(particle):: part_temp
+      REAL(8):: x_new, y_new, r, sin_alpha, cos_alpha
+      REAL(8):: qmEFt(1:3)!charge*tauIn*EF/mass
+
+      part_temp = part
+      !Get electric field at particle position
+      qmEFt = part_temp%species%qm*gatherElecField(part_temp)*tauIn
+      !z
+      part_temp%v(1) = part%v(1) + qmEFt(1)
+      part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
+      !r,theta
+      v_p_oh_star(2) = part%v(2) + qmEFt(2)
+      x_new = part%r(2) + v_p_oh_star(2)*tauIn
+      v_p_oh_star(3) = part%v(3) + qmEFt(3)
+      y_new =             v_p_oh_star(3)*tauIn
+      r = DSQRT(x_new**2+y_new**2)
+      part_temp%r(2) = r
+      IF (r > 0.D0) THEN
+        sin_alpha = y_new/r
+        cos_alpha = x_new/r
+      ELSE
+        sin_alpha = 0.D0
+        cos_alpha = 1.D0
+      END IF
+      part_temp%v(2) =  cos_alpha*v_p_oh_star(2)+sin_alpha*v_p_oh_star(3)
+      part_temp%v(3) = -sin_alpha*v_p_oh_star(2)+cos_alpha*v_p_oh_star(3)
+
+      !Copy temporal particle to particle
+      part=part_temp
+
+    END SUBROUTINE push2DCylElectrostatic
+
+    !Push one particle. Boris pusher for 1D Radial Neutral particle
+    PURE SUBROUTINE push1DRadNeutral(part, tauIn)
+      USE moduleSpecies
+      USE moduleEM
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+      REAL(8):: v_p_oh_star(1:2)
+      TYPE(particle):: part_temp
+      REAL(8):: x_new, y_new, r, sin_alpha, cos_alpha
+
+      part_temp = part
+      !r,theta
+      v_p_oh_star(1) = part%v(1)
+      x_new = part%r(1) + v_p_oh_star(1)*tauIn
+      v_p_oh_star(2) = part%v(2)
+      y_new =             v_p_oh_star(2)*tauIn
+      r = DSQRT(x_new**2+y_new**2)
+      part_temp%r(1) = r
+      IF (r > 0.D0) THEN
+        sin_alpha = y_new/r
+        cos_alpha = x_new/r
+      ELSE
+        sin_alpha = 0.D0
+        cos_alpha = 1.D0
+      END IF
+      part_temp%v(1) =  cos_alpha*v_p_oh_star(1)+sin_alpha*v_p_oh_star(2)
+      part_temp%v(2) = -sin_alpha*v_p_oh_star(1)+cos_alpha*v_p_oh_star(2)
+
+      !Copy temporal particle to particle
+      part=part_temp
+
+    END SUBROUTINE push1DRadNeutral
+
+    !Push one particle. Boris pusher for 1D Radial Electrostatic particle
+    PURE SUBROUTINE push1DRadElectrostatic(part, tauIn)
+      USE moduleSpecies
+      USE moduleEM
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+      REAL(8):: v_p_oh_star(1:2)
+      TYPE(particle):: part_temp
+      REAL(8):: x_new, y_new, r, sin_alpha, cos_alpha
+      REAL(8):: qmEFt(1:3)!charge*tauIn*EF/mass
+
+      part_temp = part
+      !Get electric field at particle position
+      qmEFt = part_temp%species%qm*gatherElecField(part_temp)*tauMin
+      !r,theta
+      v_p_oh_star(1) = part%v(1) + qmEFt(1)
+      x_new = part%r(1) + v_p_oh_star(1)*tauIn
+      v_p_oh_star(2) = part%v(2) + qmEFt(2)
+      y_new =             v_p_oh_star(2)*tauIn
+      r = DSQRT(x_new**2+y_new**2)
+      part_temp%r(1) = r
+      IF (r > 0.D0) THEN
+        sin_alpha = y_new/r
+        cos_alpha = x_new/r
+      ELSE
+        sin_alpha = 0.D0
+        cos_alpha = 1.D0
+      END IF
+      part_temp%v(1) =  cos_alpha*v_p_oh_star(1)+sin_alpha*v_p_oh_star(2)
+      part_temp%v(2) = -sin_alpha*v_p_oh_star(1)+cos_alpha*v_p_oh_star(2)
+
+      !Copy temporal particle to particle
+      part=part_temp
+
+    END SUBROUTINE push1DRadElectrostatic
+
+    !Dummy pusher for 0D geometry
+    PURE SUBROUTINE push0D(part, tauIn)
+      USE moduleSpecies
+      USE moduleEM
+      IMPLICIT NONE
+
+      TYPE(particle), INTENT(inout):: part
+      REAL(8), INTENT(in):: tauIn
+
+    END SUBROUTINE push0D
+
+END MODULE modulePusher

From 9484502d0befa738a242ba2fdcf0828f63104c92 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 24 Dec 2022 13:26:10 +0100
Subject: [PATCH 066/203] Most of modules organized

Most of the modules are organized in subfolders.

Maybe some big re-organization is needed in the future, but for now I am
happy.
---
 src/modules/common/makefile                   | 11 +++++++
 src/modules/{ => common}/moduleCaseParam.f90  |  0
 src/modules/{ => common}/moduleCompTime.f90   |  4 +++
 src/modules/{ => common}/moduleConstParam.f90 |  0
 src/modules/{ => common}/moduleErrors.f90     |  0
 src/modules/{ => common}/moduleMath.f90       |  0
 src/modules/{ => common}/moduleParallel.f90   |  0
 src/modules/{ => common}/moduleRandom.f90     |  0
 src/modules/{ => common}/moduleRefParam.f90   |  0
 src/modules/{ => common}/moduleTable.f90      |  0
 src/modules/init/makefile                     |  5 +++
 src/modules/{ => init}/moduleInput.f90        |  1 -
 src/modules/makefile                          | 31 ++++++++++---------
 13 files changed, 37 insertions(+), 15 deletions(-)
 create mode 100644 src/modules/common/makefile
 rename src/modules/{ => common}/moduleCaseParam.f90 (100%)
 rename src/modules/{ => common}/moduleCompTime.f90 (91%)
 rename src/modules/{ => common}/moduleConstParam.f90 (100%)
 rename src/modules/{ => common}/moduleErrors.f90 (100%)
 rename src/modules/{ => common}/moduleMath.f90 (100%)
 rename src/modules/{ => common}/moduleParallel.f90 (100%)
 rename src/modules/{ => common}/moduleRandom.f90 (100%)
 rename src/modules/{ => common}/moduleRefParam.f90 (100%)
 rename src/modules/{ => common}/moduleTable.f90 (100%)
 create mode 100644 src/modules/init/makefile
 rename src/modules/{ => init}/moduleInput.f90 (99%)

diff --git a/src/modules/common/makefile b/src/modules/common/makefile
new file mode 100644
index 0000000..a57871b
--- /dev/null
+++ b/src/modules/common/makefile
@@ -0,0 +1,11 @@
+OBJS = moduleCompTime.o moduleCaseParam.o moduleConstParam.o \
+			 moduleErrors.o moduleMath.o moduleParallel.o \
+			 moduleRandom.o moduleRefParam.o moduleTable.o
+
+all: $(OBJS)
+
+moduleTable.o: moduleErrors.o moduleTable.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
+%.o: %.f90
+	$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@
diff --git a/src/modules/moduleCaseParam.f90 b/src/modules/common/moduleCaseParam.f90
similarity index 100%
rename from src/modules/moduleCaseParam.f90
rename to src/modules/common/moduleCaseParam.f90
diff --git a/src/modules/moduleCompTime.f90 b/src/modules/common/moduleCompTime.f90
similarity index 91%
rename from src/modules/moduleCompTime.f90
rename to src/modules/common/moduleCompTime.f90
index d0a6755..46310f0 100644
--- a/src/modules/moduleCompTime.f90
+++ b/src/modules/common/moduleCompTime.f90
@@ -1,5 +1,9 @@
 !Information to calculate computation time
 MODULE moduleCompTime
+  IMPLICIT NONE
+
+  PUBLIC
+
   REAL(8):: tStep    = 0.D0
   REAL(8):: tPush    = 0.D0
   REAL(8):: tReset   = 0.D0
diff --git a/src/modules/moduleConstParam.f90 b/src/modules/common/moduleConstParam.f90
similarity index 100%
rename from src/modules/moduleConstParam.f90
rename to src/modules/common/moduleConstParam.f90
diff --git a/src/modules/moduleErrors.f90 b/src/modules/common/moduleErrors.f90
similarity index 100%
rename from src/modules/moduleErrors.f90
rename to src/modules/common/moduleErrors.f90
diff --git a/src/modules/moduleMath.f90 b/src/modules/common/moduleMath.f90
similarity index 100%
rename from src/modules/moduleMath.f90
rename to src/modules/common/moduleMath.f90
diff --git a/src/modules/moduleParallel.f90 b/src/modules/common/moduleParallel.f90
similarity index 100%
rename from src/modules/moduleParallel.f90
rename to src/modules/common/moduleParallel.f90
diff --git a/src/modules/moduleRandom.f90 b/src/modules/common/moduleRandom.f90
similarity index 100%
rename from src/modules/moduleRandom.f90
rename to src/modules/common/moduleRandom.f90
diff --git a/src/modules/moduleRefParam.f90 b/src/modules/common/moduleRefParam.f90
similarity index 100%
rename from src/modules/moduleRefParam.f90
rename to src/modules/common/moduleRefParam.f90
diff --git a/src/modules/moduleTable.f90 b/src/modules/common/moduleTable.f90
similarity index 100%
rename from src/modules/moduleTable.f90
rename to src/modules/common/moduleTable.f90
diff --git a/src/modules/init/makefile b/src/modules/init/makefile
new file mode 100644
index 0000000..c035f7e
--- /dev/null
+++ b/src/modules/init/makefile
@@ -0,0 +1,5 @@
+all: moduleInput.o
+
+%.o: %.f90
+	$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@
+
diff --git a/src/modules/moduleInput.f90 b/src/modules/init/moduleInput.f90
similarity index 99%
rename from src/modules/moduleInput.f90
rename to src/modules/init/moduleInput.f90
index 348edf3..2523b3b 100644
--- a/src/modules/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -9,7 +9,6 @@ MODULE moduleInput
       USE json_module
       USE moduleErrors
       USE moduleBoundary
-      USE moduleInject
       USE moduleOutput
       USE moduleMesh
       IMPLICIT NONE
diff --git a/src/modules/makefile b/src/modules/makefile
index 5b6aa11..254d015 100644
--- a/src/modules/makefile
+++ b/src/modules/makefile
@@ -1,37 +1,40 @@
-
-OBJS = moduleCaseParam.o moduleCompTime.o moduleList.o \
-		   output.o moduleInput.o solver.o \
-			 moduleCollisions.o moduleTable.o moduleParallel.o \
-			 moduleRandom.o moduleMath.o moduleProbe.o
+OBJS = common.o output.o mesh.o solver.o init.o \
+			 moduleBoundary.o moduleCollisions.o moduleInject.o \
+			 moduleList.o moduleProbe.o \
+			 moduleSpecies.o
 
 all: $(OBJS)
 
-output.o: moduleMath.o moduleRefParam.o
+common.o:
+	$(MAKE) -C common all
+
+output.o: moduleSpecies.o common.o
 	$(MAKE) -C output all
 
 mesh.o: moduleCollisions.o moduleBoundary.o output.o
 	$(MAKE) -C mesh all
 
-solver.o: moduleSpecies.o moduleProbe.o moduleRandom.o output.o mesh.o
+solver.o: moduleSpecies.o moduleProbe.o common.o output.o mesh.o
 	$(MAKE) -C solver all
 
-moduleCollisions.o: moduleList.o moduleMath.o moduleRandom.o moduleTable.o moduleSpecies.o moduleRefParam.o moduleConstParam.o moduleCollisions.f90
+init.o: common.o solver.o moduleInject.o
+	$(MAKE) -C init all
+
+moduleBoundary.o: common.o moduleBoundary.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleInput.o: moduleParallel.o solver.o moduleInject.o moduleInput.f90
+moduleCollisions.o: moduleList.o moduleSpecies.o common.o moduleCollisions.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleInject.o: moduleInject.f90
-	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
-
-moduleList.o: moduleConstParam.o moduleErrors.o moduleCaseParam.o moduleSpecies.o moduleList.f90
+moduleList.o: common.o moduleSpecies.o moduleList.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
 moduleProbe.o: mesh.o moduleProbe.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
-moduleBoundary.o: moduleTable.o moduleBoundary.f90
+moduleSpecies.o: common.o moduleSpecies.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
 %.o: %.f90
 	$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@
+

From 905d3f94a58143359ae118b85c405463c25ab056 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Thu, 29 Dec 2022 19:32:38 +0100
Subject: [PATCH 067/203] Trying to fix weighting scheme

Now particles can be split to increase statistics when they enter a
smaller cell. However, this only has an effect for collisions.

Still, I have to rethink a lot about this feature.
---
 doc/user-manual/fpakc_UserManual.pdf | Bin 181016 -> 180981 bytes
 doc/user-manual/fpakc_UserManual.tex |   5 +++--
 src/modules/solver/moduleSolver.f90  |   5 +++--
 3 files changed, 6 insertions(+), 4 deletions(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index 66aba8b627f80119f5f78f25fd22176c034d96bb..0302caf0bab2667c1bd94d4932950b9b72d0c24a 100644
GIT binary patch
delta 17550
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index e5c0d4f..cbd1573 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -177,9 +177,10 @@
     \section{Variable Weighting Scheme\label{sec:weightingScheme}}
       One of the issues in particle simulations, specially for axial-symmetrical cases, is that due to the disparate volume of cells, specially close to the axis, the statistics in some cells is usually poor.
       To try to fix that, the possibility to include a Variable Weighting Scheme in the simulations is available in \Gls{fpakc}.
-      These schemes detect when a particle change cells and modify its weight accordingly.
-      To avoid particles having a larger weight than the rest, particle can be split in multiple particles if weight become too large.
+      These schemes detect when a particle change cells and split it if necessary to improve statistics.
       The use of a Variable Weighting Scheme is defined by the user in the input file.
+      
+      Beware that this can increase the number of particles in the simulation and increase computational time.
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Interaction between species}\label{ssec:collisions}
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index 58a7a71..88f7bf8 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -388,11 +388,12 @@ MODULE moduleSolver
       REAL(8):: fractionVolume, pSplit
 
       !If particle changes volume to smaller cell
-      IF (volOld%volume > volNew%volume) THEN
+      IF (volOld%volume > volNew%volume .AND. &
+          part%weight >= part%species%weight*1.0D-1) THEN
         fractionVolume = volOld%volume/volNew%volume
 
         !Calculate probability of splitting particle
-        pSplit = 1.D0 - DEXP(-fractionVolume)
+        pSplit = 1.D0 - DEXP(-fractionVolume*1.0D-1)
 
         IF (random() < pSplit) THEN
           !Split particle in two

From 0677684f8527bb1bec24cfb9a369039dec88ccd9 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 31 Dec 2022 10:46:25 +0100
Subject: [PATCH 068/203] Adjusting weights for collisions

Ionization and recombination collisions have been modified to have the
right products accounting for the possibility that primary electron and
target particle have different weight.
---
 src/modules/moduleCollisions.f90 | 93 ++++++++++++++++++++++++--------
 1 file changed, 70 insertions(+), 23 deletions(-)

diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index 3c241c1..702b54a 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -305,7 +305,7 @@ MODULE moduleCollisions
       REAL(8):: rMass, eRel
       TYPE(particle), POINTER:: electron => NULL(), neutral => NULL()
       REAL(8), DIMENSION(1:3):: vChange
-      TYPE(particle), POINTER:: newElectron
+      TYPE(particle), POINTER:: newElectron => NULL(), remainingNeutral => NULL()
 
       rMass = reducedMass(part_i%weight*part_i%species%m, part_j%weight*part_j%species%m)
       eRel = rMass*vRel**2
@@ -324,6 +324,39 @@ MODULE moduleCollisions
 
         END IF
 
+        !Exchange of velocity between particles
+        vChange = self%deltaV*randomDirectionVHS()
+        
+        !Energy is loss by the primary electron
+        electron%v = electron%v - vChange
+
+        !Creates a new electron from ionization
+        ALLOCATE(newElectron)
+
+        !Copy basic information from primary electron
+        newElectron = electron
+
+        !Secondary electorn gains energy from ionization
+        newElectron%v       =  vChange
+
+        !Correct the weight of the particles
+        IF (electron%weight >= neutral%weight) THEN
+          !If primary electron is hevier than neutral, reduce weight to secondary electron
+          newElectron%weight = neutral%weight
+
+        ELSEIF (electron%weight < neutral%weight) THEN
+          !If primary electron is ligther than neutral, change weight of neutral and create new neutral
+          ALLOCATE(remainingNeutral)
+          PRINT *, "ionize"
+
+          remainingNeutral = neutral
+
+          remainingNeutral%weight = neutral%weight - electron%weight
+
+          neutral%weight = electron%weight
+
+        END IF
+
         !Ionize neutral particle
         SELECT TYPE(sp => neutral%species)
         TYPE IS(speciesNeutral)
@@ -335,27 +368,13 @@ MODULE moduleCollisions
 
         END SELECT
 
-        !Exchange of velocity between particles
-        vChange = self%deltaV*randomDirectionVHS()
-        
-        !Energy is loss by the primary electron
-        electron%v = electron%v - vChange
-
-        !Creates a new electron from ionization
-        ALLOCATE(newElectron)
-        newElectron%species => electron%species
-        !Secondary electorn gains energy from ionization
-        newElectron%v       =  vChange
-        newElectron%r       =  neutral%r
-        newElectron%xi      =  neutral%xi
-        newElectron%n_in    =  .TRUE.
-        newElectron%vol     =  neutral%vol
-        newElectron%volColl =  neutral%volColl
-        newElectron%weight  =  neutral%weight
-
-        !Adds new electron to list of new particles from collisions
+        !Adds new particles to the list
         CALL OMP_SET_LOCK(lockCollisions)
         CALL partCollisions%add(newElectron)
+        IF (ASSOCIATED(remainingNeutral)) THEN
+          CALL partCollisions%add(remainingNeutral)
+
+        END IF
         CALL OMP_UNSET_LOCK(lockCollisions)
 
       END IF
@@ -399,7 +418,8 @@ MODULE moduleCollisions
           collision%electron => sp
 
         CLASS DEFAULT
-          CALL criticalError("Species " // sp%name // " chosen for ionization is not a charged species", 'initBinaryIonization')
+          CALL criticalError("Species " // sp%name // " chosen for recombination is not a charged species", &
+                             'initBinaryRecombination')
 
         END SELECT
 
@@ -422,6 +442,7 @@ MODULE moduleCollisions
       TYPE(particle), POINTER:: electron => NULL(), ion => NULL()
       REAL(8):: sigmaVrel
       REAL(8), DIMENSION(1:3):: vp_i
+      TYPE(particle), POINTER:: remainingIon => NULL()
 
       IF    (ASSOCIATED(part_i%species, self%electron)) THEN
         electron => part_i
@@ -440,8 +461,27 @@ MODULE moduleCollisions
       !TODO: This energy should be transformed into photons
       vp_i = ion%v*     (1.D0 -  (vRel + self%deltaV)/NORM2(ion%v))
 
-      !Remove electron from simulation
-      electron%n_in = .FALSE.
+      IF (electron%weight > ion%weight) THEN
+        !Reduce weight of primary electron but particle continues
+        electron%weight = electron%weight - ion%weight
+
+      ELSE
+        !Remove electron from simulation
+        electron%n_in = .FALSE.
+
+        !There is some ion remaining
+        IF (electron%weight < ion%weight) THEN
+          ALLOCATE(remainingIon)
+
+          remainingIon = ion
+
+          remainingIon%weight = ion%weight - electron%weight
+
+          ion%weight = electron%weight
+
+        END IF
+
+      END IF
 
       !Neutralize ion particle
       SELECT TYPE(sp => ion%species)
@@ -453,6 +493,13 @@ MODULE moduleCollisions
 
       END SELECT
 
+      !Adds new particles to the list
+      IF (ASSOCIATED(remainingIon)) THEN
+        CALL OMP_SET_LOCK(lockCollisions)
+        CALL partCollisions%add(remainingIon)
+        CALL OMP_UNSET_LOCK(lockCollisions)
+      END IF
+
     END SUBROUTINE collideBinaryRecombination
 
     !RESONANT CHARGE EXCHANGE

From 8199a228c8380c30db73c303fd183f32e4bc87a1 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 31 Dec 2022 11:22:02 +0100
Subject: [PATCH 069/203] Locks for particle lists are now inside the type.

The lock of a particle list is no longer an external variable, it is now
part of the type.

New procedures have been added to set and unset the lock.
---
 src/modules/init/moduleInput.f90        |  8 +++++--
 src/modules/mesh/moduleMeshBoundary.f90 |  4 ++--
 src/modules/moduleCollisions.f90        |  9 ++++----
 src/modules/moduleList.f90              | 30 ++++++++++++++++++++-----
 src/modules/solver/moduleSolver.f90     |  4 ++--
 5 files changed, 39 insertions(+), 16 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 2523b3b..ac40c3b 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -612,7 +612,7 @@ MODULE moduleInput
       nPartOld = 0
 
       !Initialize the lock for the non-analogue (NA) list of particles
-      CALL OMP_INIT_LOCK(lockWScheme)
+      CALL OMP_INIT_LOCK(partWScheme%lock)
 
     END SUBROUTINE readSpecies
 
@@ -676,7 +676,7 @@ MODULE moduleInput
           CALL config%get('interactions.folderCollisions', pathCollisions, found)
 
           !Inits lock for list of particles
-          CALL OMP_INIT_LOCK(lockCollisions)
+          CALL OMP_INIT_LOCK(partCollisions%lock)
 
           CALL config%info('interactions.collisions', found, n_children = nPairs)
           DO i = 1, nPairs
@@ -770,6 +770,7 @@ MODULE moduleInput
       USE moduleErrors
       USE moduleSpecies
       USE moduleRefParam
+      USE moduleList, ONLY: partSurfaces
       USE json_module
       IMPLICIT NONE
 
@@ -862,6 +863,9 @@ MODULE moduleInput
 
       END DO
 
+      !Init the list of particles from surfaces
+      CALL OMP_INIT_LOCK(partSurfaces%lock)
+
     END SUBROUTINE readBoundary
 
     !Read the geometry (mesh) for the case
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index c5f3fc3..2e15c5c 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -169,10 +169,10 @@ MODULE moduleMeshBoundary
             newIon%n_in      = .TRUE.
 
             !Add particles to list
-            CALL OMP_SET_LOCK(lockSurfaces)
+            CALL partSurfaces%setLock()
             CALL partSurfaces%add(newElectron)
             CALL partSurfaces%add(newIon)
-            CALL OMP_UNSET_LOCK(lockSurfaces)
+            CALL partSurfaces%unsetLock()
 
             !Electron loses energy due to ionization
             eRel = eRel - bound%eThreshold
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index 702b54a..ba1edfd 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -347,7 +347,6 @@ MODULE moduleCollisions
         ELSEIF (electron%weight < neutral%weight) THEN
           !If primary electron is ligther than neutral, change weight of neutral and create new neutral
           ALLOCATE(remainingNeutral)
-          PRINT *, "ionize"
 
           remainingNeutral = neutral
 
@@ -369,13 +368,13 @@ MODULE moduleCollisions
         END SELECT
 
         !Adds new particles to the list
-        CALL OMP_SET_LOCK(lockCollisions)
+        CALL partCollisions%setLock()
         CALL partCollisions%add(newElectron)
         IF (ASSOCIATED(remainingNeutral)) THEN
           CALL partCollisions%add(remainingNeutral)
 
         END IF
-        CALL OMP_UNSET_LOCK(lockCollisions)
+        CALL partCollisions%unsetLock()
 
       END IF
 
@@ -495,9 +494,9 @@ MODULE moduleCollisions
 
       !Adds new particles to the list
       IF (ASSOCIATED(remainingIon)) THEN
-        CALL OMP_SET_LOCK(lockCollisions)
+        CALL partCollisions%setLock()
         CALL partCollisions%add(remainingIon)
-        CALL OMP_UNSET_LOCK(lockCollisions)
+        CALL partCollisions%unsetLock()
       END IF
 
     END SUBROUTINE collideBinaryRecombination
diff --git a/src/modules/moduleList.f90 b/src/modules/moduleList.f90
index cf27388..b040c80 100644
--- a/src/modules/moduleList.f90
+++ b/src/modules/moduleList.f90
@@ -13,19 +13,19 @@ MODULE moduleList
     INTEGER:: amount = 0
     TYPE(lNode),POINTER:: head => NULL()
     TYPE(lNode),POINTER:: tail => NULL()
+    INTEGER(KIND=OMP_LOCK_KIND):: lock
     CONTAINS
       PROCEDURE,PASS:: add => addToList
       PROCEDURE,PASS:: convert2Array
       PROCEDURE,PASS:: erase => eraseList
+      PROCEDURE,PASS:: setLock
+      PROCEDURE,PASS:: unsetLock
 
   END TYPE listNode
 
   TYPE(listNode):: partWScheme !Particles comming from the nonAnalogue scheme
-  INTEGER(KIND=OMP_LOCK_KIND):: lockWScheme !Lock for the NA list of particles
   TYPE(listNode):: partCollisions !Particles created in collisional process
-  INTEGER(KIND=OMP_LOCK_KIND):: lockCollisions !Lock for the NA list of particles
   TYPE(listNode):: partSurfaces !Particles created in surface interactions
-  INTEGER(KIND=OMP_LOCK_KIND):: lockSurfaces !Lock for the NA list of particles
   TYPE(listNode):: partInitial !Initial distribution of particles
 
   TYPE pointerArray
@@ -80,8 +80,10 @@ MODULE moduleList
     END FUNCTION convert2Array
 
     !Erase list
-    SUBROUTINE eraseList(self)
-      CLASS(listNode):: self
+    PURE SUBROUTINE eraseList(self)
+      IMPLICIT NONE
+
+      CLASS(listNode), INTENT(inout):: self
       TYPE(lNode),POINTER:: current, next
       
       current => self%head
@@ -95,4 +97,22 @@ MODULE moduleList
       self%amount = 0
     END SUBROUTINE eraseList
 
+    SUBROUTINE setLock(self)
+      USE OMP_LIB
+      IMPLICIT NONE
+
+      CLASS(listNode):: self
+      CALL OMP_SET_LOCK(self%lock)
+
+    END SUBROUTINE setLock
+
+    SUBROUTINE unsetLock(self)
+      USE OMP_LIB
+      IMPLICIT NONE
+
+      CLASS(listNode):: self
+      CALL OMP_UNSET_LOCK(self%lock)
+
+    END SUBROUTINE unsetLock
+
 END MODULE moduleList
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index 88f7bf8..135b08f 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -434,9 +434,9 @@ MODULE moduleSolver
         !Copy data from original particle
         newPart = part
         !Add particle to list of new particles from weighting scheme
-        CALL OMP_SET_LOCK(lockWScheme)
+        CALL partWScheme%setLock()
         CALL partWScheme%add(newPart)
-        CALL OMP_UNSET_LOCK(lockWScheme)
+        CALL partWScheme%unsetLock()
         !Add particle to cell list
         CALL OMP_SET_lock(vol%lock)
         sp = part%species%n

From 0db76083ec1b9c49592818ed9b5c493644b51714 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 1 Jan 2023 12:12:06 +0100
Subject: [PATCH 070/203] fPsi no longer allocates memory

I noticed that phy2logquad had a lot of overhead. Trying to reducing it
by simplifying calls to fPsi, dPsi and such.

The function for fPsi has been made so no memory is allocated and works
under the assumption that the input array has the right size (1:numNodes)
---
 src/modules/init/moduleInput.f90             |   6 +-
 src/modules/mesh/0D/moduleMesh0D.f90         |   7 +-
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 |  54 ++--
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   |  68 ++--
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 323 +++++++++----------
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   | 107 +++---
 src/modules/mesh/3DCart/moduleMesh3DCart.f90 | 237 +++++++-------
 src/modules/mesh/moduleMesh.f90              |  15 +-
 8 files changed, 408 insertions(+), 409 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index ac40c3b..aaf4b08 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -361,14 +361,14 @@ MODULE moduleInput
             !Density at centroid of cell
             nodes = mesh%vols(e)%obj%getNodes()
             nNodes = SIZE(nodes)
-            fPsi = mesh%vols(e)%obj%fPsi((/0.D0, 0.D0, 0.D0/))
+            ALLOCATE(fPsi(1:nNodes))
+            CALL mesh%vols(e)%obj%fPsi((/0.D0, 0.D0, 0.D0/), fPsi)
             ALLOCATE(source(1:nNodes))
             DO j = 1, nNodes
               source(j) = density(nodes(j))
 
             END DO
             densityCen = DOT_PRODUCT(fPsi, source)
-            DEALLOCATE(fPsi)
 
             !Calculate number of particles
             nNewPart = INT(densityCen * (mesh%vols(e)%obj%volume*Vol_ref) / species(sp)%obj%weight)
@@ -380,7 +380,7 @@ MODULE moduleInput
               partNew%r       =  mesh%vols(e)%obj%randPos()
               partNew%xi      =  mesh%vols(e)%obj%phy2log(partNew%r)
               !Get mean velocity at particle position
-              fPsi            =  mesh%vols(e)%obj%fPsi(partNew%xi)
+              CALL mesh%vols(e)%obj%fPsi(partNew%xi, fPsi)
               DO j = 1, nNodes
                 source(j) = velocity(nodes(j), 1)
 
diff --git a/src/modules/mesh/0D/moduleMesh0D.f90 b/src/modules/mesh/0D/moduleMesh0D.f90
index 8e8072d..0a14520 100644
--- a/src/modules/mesh/0D/moduleMesh0D.f90
+++ b/src/modules/mesh/0D/moduleMesh0D.f90
@@ -106,14 +106,13 @@ MODULE moduleMesh0D
 
     END FUNCTION randPos0D
 
-    PURE FUNCTION fPsi0D(xi) RESULT(fPsi)
+    PURE SUBROUTINE fPsi0D(xi, fPsi)
       REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
+      REAL(8), INTENT(out):: fPsi(:)
 
-      ALLOCATE(fPsi(1:1))
       fPsi = 1.D0
 
-    END FUNCTION fPsi0D
+    END SUBROUTINE fPsi0D
 
     PURE FUNCTION gatherEF0D(self, xi) RESULT(EF)
       IMPLICIT NONE
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 0a846d9..3380cf0 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -230,13 +230,13 @@ MODULE moduleMesh1DCart
 
       CLASS(meshVol1DCartSegm), INTENT(in):: self
       REAL(8):: r(1:3)
-      REAL(8):: xii(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8), ALLOCATABLE:: fPsi(:)
 
-      xii(1)   = random(-1.D0, 1.D0)
-      xii(2:3) = 0.D0
+      Xi(1)   = random(-1.D0, 1.D0)
+      Xi(2:3) = 0.D0
 
-      fPsi = self%fPsi(xii)
+      CALL self%fPsi(Xi, fPsi)
       r(1) = DOT_PRODUCT(fPsi, self%x)
 
     END FUNCTION randPos1DCartSeg
@@ -249,36 +249,34 @@ MODULE moduleMesh1DCart
       REAL(8):: l !element length
       REAL(8):: fPsi(1:2)
       REAL(8):: detJ
-      REAL(8):: Xii(1:3)
+      REAL(8):: Xi(1:3)
 
       self%volume  = 0.D0
       self%arNodes = 0.D0
       !1 point Gauss integral
-      Xii = 0.D0
-      fPsi = self%fPsi(Xii)
-      detJ = self%detJac(Xii)
+      Xi = 0.D0
+      CALL self%fPsi(Xi, fPsi)
+      detJ = self%detJac(Xi)
       l = 2.D0*detJ
       self%volume  =      l
       self%arNodes = fPsi*l
 
     END SUBROUTINE areaSegm
 
-    !Computes element functions at point xii
-    PURE FUNCTION fPsiSegm(xi) RESULT(fPsi)
+    !Computes element functions at point Xi
+    PURE SUBROUTINE fPsiSegm(xi, fPsi)
       IMPLICIT NONE
 
       REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
-
-      ALLOCATE(fPsi(1:2))
+      REAL(8), INTENT(out):: fPsi(:)
 
       fPsi(1) = 1.D0 - xi(1)
       fPsi(2) = 1.D0 + xi(1)
       fPsi    = fPsi * 5.D-1
 
-    END FUNCTION fPsiSegm
+    END SUBROUTINE fPsiSegm
 
-    !Computes element derivative shape function at Xii
+    !Computes element derivative shape function at Xi
     PURE FUNCTION dPsiSegm(xi) RESULT(dPsi)
       IMPLICIT NONE
 
@@ -310,19 +308,19 @@ MODULE moduleMesh1DCart
 
       CLASS(meshVol1DCartSegm), INTENT(in):: self
       REAL(8), ALLOCATABLE:: localK(:,:)
-      REAL(8):: Xii(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: dPsi(1:1, 1:2)
       REAL(8):: invJ(1), detJ
       INTEGER:: l
 
       ALLOCATE(localK(1:2,1:2))
       localK      = 0.D0
-      Xii     = 0.D0
+      Xi     = 0.D0
       DO l = 1, 3
-        xii(1) = corSeg(l)
-        dPsi    = self%dPsi(Xii)
-        detJ    = self%detJac(Xii, dPsi)
-        invJ    = self%invJac(Xii, dPsi)
+        Xi(1) = corSeg(l)
+        dPsi    = self%dPsi(Xi)
+        detJ    = self%detJac(Xi, dPsi)
+        invJ    = self%invJac(Xi, dPsi)
         localK  = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
                                   RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
                            wSeg(l)/detJ
@@ -339,17 +337,17 @@ MODULE moduleMesh1DCart
       REAL(8), ALLOCATABLE:: localF(:)
       REAL(8):: fPsi(1:2)
       REAL(8):: detJ, f
-      REAL(8):: Xii(1:3)
+      REAL(8):: Xi(1:3)
       INTEGER:: l
 
       ALLOCATE(localF(1:2))
       localF = 0.D0
-      Xii    = 0.D0
+      Xi    = 0.D0
 
       DO l = 1, 3
-        xii(1) = corSeg(l)
-        detJ   = self%detJac(Xii)
-        fPsi   = self%fPsi(Xii)
+        Xi(1) = corSeg(l)
+        detJ   = self%detJac(Xi)
+        CALL self%fPsi(Xi, fPsi)
         f      = DOT_PRODUCT(fPsi, source)
         localF = localF + f*fPsi*wSeg(l)*detJ
 
@@ -368,7 +366,7 @@ MODULE moduleMesh1DCart
 
     END FUNCTION insideSegm
 
-    !Gathers EF at position Xii
+    !Gathers EF at position Xi
     PURE FUNCTION gatherEFSegm(self, xi) RESULT(EF)
       IMPLICIT NONE
 
@@ -407,7 +405,7 @@ MODULE moduleMesh1DCart
       MF_Nodes(1:2,3) = (/ self%n1%emData%B(3), &
                            self%n2%emData%B(3) /)
 
-      fPsi  = self%fPsi(xi)
+      CALL self%fPsi(xi, fPsi)
       MF = MATMUL(fPsi, MF_Nodes)
 
     END FUNCTION gatherMFSegm
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index b8edfdd..7b09e5b 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -232,13 +232,13 @@ MODULE moduleMesh1DRad
 
       CLASS(meshVol1DRadSegm), INTENT(in):: self
       REAL(8):: r(1:3)
-      REAL(8):: xii(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8), ALLOCATABLE:: fPsi(:)
 
-      xii(1)   = random(-1.D0, 1.D0)
-      xii(2:3) = 0.D0
+      Xi(1)   = random(-1.D0, 1.D0)
+      Xi(2:3) = 0.D0
 
-      fPsi = self%fPsi(xii)
+      CALL self%fPsi(Xi, fPsi)
       r(1) = DOT_PRODUCT(fPsi, self%r)
 
     END FUNCTION randPos1DRadSeg
@@ -249,47 +249,47 @@ MODULE moduleMesh1DRad
 
       CLASS(meshVol1DRadSegm), INTENT(inout):: self
       REAL(8):: l !element length
-      REAL(8):: fPsi(1:2)
+      REAL(8):: fPsi(1:2), fPsi_node(1:2)
       REAL(8):: r
       REAL(8):: detJ
-      REAL(8):: Xii(1:3)
+      REAL(8):: Xi(1:3)
 
       self%volume  = 0.D0
       self%arNodes = 0.D0
       !1 point Gauss integral
-      Xii = 0.D0
-      fPsi = self%fPsi(Xii)
-      detJ = self%detJac(Xii)
+      Xi = 0.D0
+      CALL self%fPsi(Xi, fPsi)
+      detJ = self%detJac(Xi)
       !Computes total volume of the cell
       r    = DOT_PRODUCT(fPsi, self%r)
       l = 2.D0*detJ
       self%volume  = r*l
       !Computes volume per node
-      Xii = (/-5.D-1,  0.D0, 0.D0/)
-      r = DOT_PRODUCT(self%fPsi(Xii),self%r)
+      Xi = (/-5.D-1,  0.D0, 0.D0/)
+      CALL self%fPsi(Xi, fPsi_node)
+      r = DOT_PRODUCT(fPsi_node,self%r)
       self%arNodes(1) = fPsi(1)*r*l
-      Xii = (/ 5.D-1,  0.D0, 0.D0/)
-      r = DOT_PRODUCT(self%fPsi(Xii),self%r)
+      Xi = (/ 5.D-1,  0.D0, 0.D0/)
+      CALL self%fPsi(Xi, fPsi_node)
+      r = DOT_PRODUCT(fPsi_node,self%r)
       self%arNodes(2) = fPsi(2)*r*l
 
     END SUBROUTINE areaRad
 
-    !Computes element functions at point xii
-    PURE FUNCTION fPsiRad(xi) RESULT(fPsi)
+    !Computes element functions at point Xi
+    PURE SUBROUTINE fPsiRad(xi, fPsi)
       IMPLICIT NONE
 
       REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
-
-      ALLOCATE(fPsi(1:2))
+      REAL(8), INTENT(out):: fPsi(:)
 
       fPsi(1) = 1.D0 - xi(1)
       fPsi(2) = 1.D0 + xi(1)
       fPsi    = fPsi * 5.D-1
 
-    END FUNCTION fPsiRad
+    END SUBROUTINE fPsiRad
 
-    !Computes element derivative shape function at Xii
+    !Computes element derivative shape function at Xi
     PURE FUNCTION dPsiRad(xi) RESULT(dPsi)
       IMPLICIT NONE
 
@@ -322,7 +322,7 @@ MODULE moduleMesh1DRad
 
       CLASS(meshVol1DRadSegm), INTENT(in):: self
       REAL(8), ALLOCATABLE:: localK(:,:)
-      REAL(8):: Xii(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: dPsi(1:1, 1:2)
       REAL(8):: invJ(1), detJ
       REAL(8):: r, fPsi(1:2)
@@ -330,13 +330,13 @@ MODULE moduleMesh1DRad
 
       ALLOCATE(localK(1:2, 1:2))
       localK  = 0.D0
-      Xii     = 0.D0
+      Xi     = 0.D0
       DO l = 1, 3
-        xii(1) = corSeg(l)
-        dPsi    = self%dPsi(Xii)
-        detJ    = self%detJac(Xii, dPsi)
-        invJ    = self%invJac(Xii, dPsi)
-        fPsi    = self%fPsi(Xii)
+        Xi(1) = corSeg(l)
+        dPsi    = self%dPsi(Xi)
+        detJ    = self%detJac(Xi, dPsi)
+        invJ    = self%invJac(Xi, dPsi)
+        CALL self%fPsi(Xi, fPsi)
         r       = DOT_PRODUCT(fPsi, self%r)
         localK  = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
                                   RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
@@ -357,17 +357,17 @@ MODULE moduleMesh1DRad
       REAL(8), ALLOCATABLE:: localF(:)
       REAL(8):: fPsi(1:2)
       REAL(8):: detJ, f, r
-      REAL(8):: Xii(1:3)
+      REAL(8):: Xi(1:3)
       INTEGER:: l
 
       ALLOCATE(localF(1:2))
       localF = 0.D0
-      Xii    = 0.D0
+      Xi    = 0.D0
 
       DO l = 1, 3
-        xii(1) = corSeg(l)
-        detJ   = self%detJac(Xii)
-        fPsi   = self%fPsi(Xii)
+        Xi(1) = corSeg(l)
+        detJ   = self%detJac(Xi)
+        CALL self%fPsi(Xi, fPsi)
         r      = DOT_PRODUCT(fPsi, self%r)
         f      = DOT_PRODUCT(fPsi, source)
         localF = localF + f*fPsi*r*wSeg(l)*detJ
@@ -387,7 +387,7 @@ MODULE moduleMesh1DRad
 
     END FUNCTION insideRad
 
-    !Gathers EF at position Xii
+    !Gathers EF at position Xi
     PURE FUNCTION gatherEFRad(self, xi) RESULT(EF)
       IMPLICIT NONE
 
@@ -426,7 +426,7 @@ MODULE moduleMesh1DRad
       MF_Nodes(1:2,3) = (/ self%n1%emData%B(3), &
                            self%n2%emData%B(3) /)
 
-      fPsi  = self%fPsi(xi)
+      CALL self%fPsi(xi, fPsi)
       MF = MATMUL(fPsi, MF_Nodes)
 
     END FUNCTION gatherMFRad
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index d01c0e4..c57cecc 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -11,8 +11,8 @@ MODULE moduleMesh2DCart
   REAL(8), PARAMETER:: corQuad(1:3) = (/ -DSQRT(3.D0/5.D0), 0.D0,      DSQRT(3.D0/5.D0) /)
   REAL(8), PARAMETER:: wQuad(1:3)   = (/        5.D0/9.D0,  8.D0/9.D0,       5.D0/9.D0  /)
 
-  REAL(8), PARAMETER:: xi1Tria(1:4) = (/   1.D0/3.D0,   1.D0/5.D0,   3.D0/5.D0,   1.D0/5.D0  /)
-  REAL(8), PARAMETER:: xi2Tria(1:4) = (/   1.D0/3.D0,   1.D0/5.D0,   1.D0/5.D0,   3.D0/5.D0  /)
+  REAL(8), PARAMETER:: Xi1Tria(1:4) = (/   1.D0/3.D0,   1.D0/5.D0,   3.D0/5.D0,   1.D0/5.D0  /)
+  REAL(8), PARAMETER:: Xi2Tria(1:4) = (/   1.D0/3.D0,   1.D0/5.D0,   1.D0/5.D0,   3.D0/5.D0  /)
   REAL(8), PARAMETER:: wTria(1:4)   = (/ -27.D0/96.D0, 25.D0/96.D0, 25.D0/96.D0, 25.D0/96.D0 /)
 
   TYPE, PUBLIC, EXTENDS(meshNode):: meshNode2DCart
@@ -47,8 +47,8 @@ MODULE moduleMesh2DCart
   END TYPE meshVol2DCart
 
   ABSTRACT INTERFACE
-    PURE FUNCTION dPsi_interface(xi) RESULT(dPsi)
-      REAL(8), INTENT(in):: xi(1:3)
+    PURE FUNCTION dPsi_interface(Xi) RESULT(dPsi)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
 
     END FUNCTION dPsi_interface
@@ -210,14 +210,14 @@ MODULE moduleMesh2DCart
 
       CLASS(meshVol2DCartQuad), INTENT(in):: self
       REAL(8):: r(1:3)
-      REAL(8):: xii(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8), ALLOCATABLE:: fPsi(:)
 
-      xii(1) = random(-1.D0, 1.D0)
-      xii(2) = random(-1.D0, 1.D0)
-      xii(3) = 0.D0
+      Xi(1) = random(-1.D0, 1.D0)
+      Xi(2) = random(-1.D0, 1.D0)
+      Xi(3) = 0.D0
 
-      fPsi = self%fPsi(xii)
+      CALL self%fPsi(Xi, fPsi)
 
       r(1) = DOT_PRODUCT(fPsi, self%x)
       r(2) = DOT_PRODUCT(fPsi, self%y)
@@ -319,78 +319,77 @@ MODULE moduleMesh2DCart
       IMPLICIT NONE
 
       CLASS(meshVol2DCartQuad), INTENT(inout):: self
-      REAL(8):: xi(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: detJ
       REAL(8):: fPsi(1:4)
 
       self%volume  = 0.D0
       self%arNodes = 0.D0
       !2D 1 point Gauss Quad Integral
-      xi = 0.D0
-      detJ = self%detJac(xi)*4.D0 !4
-      fPsi = self%fPsi(xi)
+      Xi = 0.D0
+      detJ = self%detJac(Xi)*4.D0 !4
+      CALL self%fPsi(Xi, fPsi)
       self%volume  =      detJ
       self%arNodes = fPsi*detJ
 
     END SUBROUTINE areaQuad
 
-    !Computes element functions in point xi
-    PURE FUNCTION fPsiQuad(xi) RESULT(fPsi) 
+    !Computes element functions in point Xi
+    PURE SUBROUTINE fPsiQuad(Xi, fPsi) 
       IMPLICIT NONE
 
-      REAL(8),INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8), INTENT(out):: fPsi(:)
 
-      ALLOCATE(fPsi(1:4))
+      fPsi(1) = (1.D0-Xi(1)) * (1.D0-Xi(2))
+      fPsi(2) = (1.D0+Xi(1)) * (1.D0-Xi(2))
+      fPsi(3) = (1.D0+Xi(1)) * (1.D0+Xi(2))
+      fPsi(4) = (1.D0-Xi(1)) * (1.D0+Xi(2))
 
-      fPsi(1) = (1.D0-xi(1))*(1.D0-xi(2))
-      fPsi(2) = (1.D0+xi(1))*(1.D0-xi(2))
-      fPsi(3) = (1.D0+xi(1))*(1.D0+xi(2))
-      fPsi(4) = (1.D0-xi(1))*(1.D0+xi(2))
       fPsi    = fPsi*0.25D0
 
-    END FUNCTION fPsiQuad
+    END SUBROUTINE fPsiQuad
 
-    !Derivative element function at coordinates xi
-    PURE FUNCTION dPsiQuad(xi) RESULT(dPsi)
+    !Derivative element function at coordinates Xi
+    PURE FUNCTION dPsiQuad(Xi) RESULT(dPsi)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
 
       ALLOCATE(dPsi(1:2,1:4))
 
-      dPsi(1,:) = dPsiQuadXi1(xi(2))
-      dPsi(2,:) = dPsiQuadXi2(xi(1))
+      dPsi(1,:) = dPsiQuadXi1(Xi(2))
+      dPsi(2,:) = dPsiQuadXi2(Xi(1))
 
     END FUNCTION dPsiQuad
 
-    !Derivative element function (xi1)
-    PURE FUNCTION dPsiQuadXi1(xi2) RESULT(dPsiXi1) 
+    !Derivative element function (Xi1)
+    PURE FUNCTION dPsiQuadXi1(Xi2) RESULT(dPsiXi1) 
       IMPLICIT NONE
 
-      REAL(8),INTENT(in):: xi2
+      REAL(8),INTENT(in):: Xi2
       REAL(8):: dPsiXi1(1:4)
 
-      dPsiXi1(1) = -(1.D0-xi2)
-      dPsiXi1(2) =  (1.D0-xi2)
-      dPsiXi1(3) =  (1.D0+xi2)
-      dPsiXi1(4) = -(1.D0+xi2)
+      dPsiXi1(1) = -(1.D0-Xi2)
+      dPsiXi1(2) =  (1.D0-Xi2)
+      dPsiXi1(3) =  (1.D0+Xi2)
+      dPsiXi1(4) = -(1.D0+Xi2)
       dPsiXi1    = dPsiXi1*0.25D0
       
     END FUNCTION dPsiQuadXi1
 
-    !Derivative element function (xi2)
-    PURE FUNCTION dPsiQuadXi2(xi1) RESULT(dPsiXi2) 
+    !Derivative element function (Xi2)
+    PURE FUNCTION dPsiQuadXi2(Xi1) RESULT(dPsiXi2) 
       IMPLICIT NONE
 
-      REAL(8),INTENT(in):: xi1
+      REAL(8),INTENT(in):: Xi1
       REAL(8):: dPsiXi2(1:4)
 
-      dPsiXi2(1) = -(1.D0-xi1)
-      dPsiXi2(2) = -(1.D0+xi1)
-      dPsiXi2(3) =  (1.D0+xi1)
-      dPsiXi2(4) =  (1.D0-xi1)
+      dPsiXi2(1) = -(1.D0-Xi1)
+      dPsiXi2(2) = -(1.D0+Xi1)
+      dPsiXi2(3) =  (1.D0+Xi1)
+      dPsiXi2(4) =  (1.D0-Xi1)
       dPsiXi2    = dPsiXi2*0.25D0
 
     END FUNCTION dPsiQuadXi2
@@ -415,24 +414,24 @@ MODULE moduleMesh2DCart
 
       CLASS(meshVol2DCartQuad), INTENT(in):: self
       REAL(8), ALLOCATABLE:: localK(:,:)
-      REAL(8):: xi(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4), dPsi(1:2,1:4)
       REAL(8):: invJ(1:2,1:2), detJ
       INTEGER:: l, m
 
       ALLOCATE(localK(1:4, 1:4))
       localK=0.D0
-      xi=0.D0
+      Xi=0.D0
       !Start 2D Gauss Quad Integral
       DO l=1, 3
-        xi(2) = corQuad(l)
-        dPsi(1,:) = self%dPsiXi1(xi(2))
+        Xi(2) = corQuad(l)
+        dPsi(1,:) = self%dPsiXi1(Xi(2))
         DO m = 1, 3
-          xi(1)     = corQuad(m)
-          dPsi(2,:) = self%dPsiXi2(xi(1))
-          fPsi      = self%fPsi(xi)
-          detJ      = self%detJac(xi,dPsi)
-          invJ      = self%invJac(xi,dPsi)
+          Xi(1)     = corQuad(m)
+          dPsi(2,:) = self%dPsiXi2(Xi(1))
+          CALL self%fPsi(Xi, fPsi)
+          detJ      = self%detJac(Xi,dPsi)
+          invJ      = self%invJac(Xi,dPsi)
           localK    = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wQuad(l)*wQuad(m)/detJ
 
         END DO
@@ -447,20 +446,20 @@ MODULE moduleMesh2DCart
       CLASS(meshVol2DCartQuad), INTENT(in):: self
       REAL(8), INTENT(in):: source(1:)
       REAL(8), ALLOCATABLE:: localF(:)
-      REAL(8):: xi(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4)
       REAL(8):: detJ, f
       INTEGER:: l, m
 
       ALLOCATE(localF(1:4))
       localF = 0.D0
-      xi     = 0.D0
+      Xi     = 0.D0
       DO l=1, 3
-        xi(1) = corQuad(l)
+        Xi(1) = corQuad(l)
         DO m = 1, 3
-          xi(2)  = corQuad(m)
-          detJ   = self%detJac(xi)
-          fPsi   = self%fPsi(xi)
+          Xi(2)  = corQuad(m)
+          detJ   = self%detJac(Xi)
+          CALL self%fPsi(Xi, fPsi)
           f      = DOT_PRODUCT(fPsi,source)
           localF = localF + f*fPsi*wQuad(l)*wQuad(m)*detJ
 
@@ -470,23 +469,23 @@ MODULE moduleMesh2DCart
     END FUNCTION elemFQuad
 
     !Checks if a particle is inside a quad element
-    PURE FUNCTION insideQuad(xi) RESULT(ins)
+    PURE FUNCTION insideQuad(Xi) RESULT(ins)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       LOGICAL:: ins
 
-      ins = (xi(1) >= -1.D0 .AND. xi(1) <= 1.D0) .AND. &
-            (xi(2) >= -1.D0 .AND. xi(2) <= 1.D0)
+      ins = (Xi(1) >= -1.D0 .AND. Xi(1) <= 1.D0) .AND. &
+            (Xi(2) >= -1.D0 .AND. Xi(2) <= 1.D0)
 
     END FUNCTION insideQuad
 
-    !Gathers the electric field at position xi
-    PURE FUNCTION gatherEFQuad(self,xi) RESULT(EF)
+    !Gathers the electric field at position Xi
+    PURE FUNCTION gatherEFQuad(self,Xi) RESULT(EF)
       IMPLICIT NONE
 
       CLASS(meshVol2DCartQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8):: dPsi(1:2,1:4)
       REAL(8):: dPsiR(1:2,1:4)!Derivative of shpae functions in global coordinates
       REAL(8):: invJ(1:2,1:2), detJ
@@ -498,9 +497,9 @@ MODULE moduleMesh2DCart
               self%n3%emData%phi, &
               self%n4%emData%phi /)
 
-      dPsi  =  self%dPsi(xi)
-      detJ  =  self%detJac(xi,dPsi)
-      invJ  =  self%invJac(xi,dPsi)
+      dPsi  =  self%dPsi(Xi)
+      detJ  =  self%detJac(Xi,dPsi)
+      invJ  =  self%invJac(Xi,dPsi)
       dPsiR =  MATMUL(invJ, dPsi)/detJ
       EF(1) = -DOT_PRODUCT(dPsiR(1,:), phi)
       EF(2) = -DOT_PRODUCT(dPsiR(2,:), phi)
@@ -508,11 +507,11 @@ MODULE moduleMesh2DCart
 
     END FUNCTION gatherEFQuad
 
-    PURE FUNCTION gatherMFQuad(self,xi) RESULT(MF)
+    PURE FUNCTION gatherMFQuad(self,Xi) RESULT(MF)
       IMPLICIT NONE
 
       CLASS(meshVol2DCartQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8):: fPsi(1:4)
       REAL(8):: MF_Nodes(1:4,1:3)
       REAL(8):: MF(1:3)
@@ -530,7 +529,7 @@ MODULE moduleMesh2DCart
                           self%n3%emData%B(3), &
                           self%n4%emData%B(3) /)
 
-      fPsi  =  self%fPsi(xi)
+      CALL self%fPsi(Xi, fPsi)
       MF = MATMUL(fPsi(:), MF_Nodes)
 
     END FUNCTION gatherMFQuad
@@ -548,47 +547,47 @@ MODULE moduleMesh2DCart
     END FUNCTION getNodesQuad
 
     !Transforms physical coordinates to element coordinates
-    PURE FUNCTION phy2logQuad(self,r) RESULT(xN) 
+    PURE FUNCTION phy2logQuad(self,r) RESULT(XiN) 
       IMPLICIT NONE
 
       CLASS(meshVol2DCartQuad), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
-      REAL(8):: xN(1:3)
-      REAL(8):: xO(1:3), detJ, invJ(1:2,1:2), f(1:2)
+      REAL(8):: XiN(1:3)
+      REAL(8):: XiO(1:3), detJ, invJ(1:2,1:2), f(1:2)
       REAL(8):: dPsi(1:2,1:4), fPsi(1:4)
       REAL(8):: conv
 
       !Iterative newton method to transform coordinates
       conv=1.D0
-      xO=0.D0
+      XiO=0.D0
 
       DO WHILE(conv>1.D-4)
-        dPsi = self%dPsi(xO)
-        invJ = self%invJac(xO, dPsi)
-        fPsi = self%fPsi(xO)
+        dPsi = self%dPsi(XiO)
+        invJ = self%invJac(XiO, dPsi)
+        CALL self%fPsi(XiO, fPsi)
         f(1) = DOT_PRODUCT(fPsi,self%x)-r(1)
         f(2) = DOT_PRODUCT(fPsi,self%y)-r(2)
-        detJ = self%detJac(xO,dPsi)
-        xN(1:2)=xO(1:2) - MATMUL(invJ, f)/detJ
-        conv=MAXVAL(DABS(xN-xO),1)
-        xO=xN
+        detJ = self%detJac(XiO,dPsi)
+        XiN(1:2)=XiO(1:2) - MATMUL(invJ, f)/detJ
+        conv=MAXVAL(DABS(XiN-XiO),1)
+        XiO=XiN
 
       END DO
 
     END FUNCTION phy2logQuad
 
-    !Gets the next element for a logical position xi
-    SUBROUTINE nextElementQuad(self, xi, nextElement)
+    !Gets the next element for a logical position Xi
+    SUBROUTINE nextElementQuad(self, Xi, nextElement)
       IMPLICIT NONE
 
       CLASS(meshVol2DCartQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       CLASS(meshElement), POINTER, INTENT(out):: nextElement
-      REAL(8):: xiArray(1:4)
+      REAL(8):: XiArray(1:4)
       INTEGER:: nextInt
 
-      xiArray = (/ -xi(2), xi(1), xi(2), -xi(1) /)
-      nextInt = MAXLOC(xiArray,1)
+      XiArray = (/ -Xi(2), Xi(1), Xi(2), -Xi(1) /)
+      nextInt = MAXLOC(XiArray,1)
       !Selects the higher value of directions and searches in that direction
       NULLIFY(nextElement)
       SELECT CASE (nextInt)
@@ -649,14 +648,14 @@ MODULE moduleMesh2DCart
 
       CLASS(meshVol2DCartTria), INTENT(in):: self
       REAL(8):: r(1:3)
-      REAL(8):: xii(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
+      REAL(8):: Xi(1:3)
+      REAL(8):: fPsi(1:3)
 
-      xii(1) = random( 0.D0, 1.D0)
-      xii(2) = random( 0.D0, 1.D0 - xii(1))
-      xii(3) = 0.D0
+      Xi(1) = random( 0.D0, 1.D0)
+      Xi(2) = random( 0.D0, 1.D0 - Xi(1))
+      Xi(3) = 0.D0
 
-      fPsi = self%fPsi(xii)
+      CALL self%fPsi(Xi, fPsi)
 
       r(1) = DOT_PRODUCT(fPsi, self%x)
       r(2) = DOT_PRODUCT(fPsi, self%y)
@@ -669,55 +668,53 @@ MODULE moduleMesh2DCart
       IMPLICIT NONE
 
       CLASS(meshVol2DCartTria), INTENT(inout):: self
-      REAL(8):: xi(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: detJ
       REAL(8):: fPsi(1:3)
 
       self%volume  = 0.D0
       self%arNodes = 0.D0
       !2D 1 point Gauss Quad Integral
-      xi = (/1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
-      detJ  = self%detJac(xi)/2.D0 
-      fPsi  = self%fPsi(xi)
+      Xi = (/1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
+      detJ  = self%detJac(Xi)/2.D0 
+      CALL self%fPsi(Xi, fPsi)
       self%volume  =      detJ
       self%arNodes = fPsi*detJ
 
     END SUBROUTINE areaTria
 
     !Shape functions for triangular element
-    PURE FUNCTION fPsiTria(xi) RESULT(fPsi)
+    PURE SUBROUTINE fPsiTria(Xi, fPsi)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8), INTENT(out):: fPsi(:)
 
-      ALLOCATE(fPsi(1:3))
+      fPsi(1) = 1.D0 - Xi(1) - Xi(2)
+      fPsi(2) =        Xi(1)
+      fPsi(3) =                Xi(2)
 
-      fPsi(1) = 1.D0 - xi(1) - xi(2)
-      fPsi(2) =        xi(1)
-      fPsi(3) =                xi(2)
+    END SUBROUTINE fPsiTria
 
-    END FUNCTION fPsiTria
-
-    !Derivative element function at coordinates xi
-    PURE FUNCTION dPsiTria(xi) RESULT(dPsi)
+    !Derivative element function at coordinates Xi
+    PURE FUNCTION dPsiTria(Xi) RESULT(dPsi)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
 
       ALLOCATE(dPsi(1:2,1:3))
 
-      dPsi(1,:) = dPsiTriaXi1(xi(2))
-      dPsi(2,:) = dPsiTriaXi2(xi(1))
+      dPsi(1,:) = dPsiTriaXi1(Xi(2))
+      dPsi(2,:) = dPsiTriaXi2(Xi(1))
 
     END FUNCTION dPsiTria
 
-    !Derivative element function (xi1)
-    PURE FUNCTION dPsiTriaXi1(xi2) RESULT(dPsiXi1)
+    !Derivative element function (Xi1)
+    PURE FUNCTION dPsiTriaXi1(Xi2) RESULT(dPsiXi1)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi2
+      REAL(8), INTENT(in):: Xi2
       REAL(8):: dPsiXi1(1:3)
 
       dPsiXi1(1) = -1.D0
@@ -726,11 +723,11 @@ MODULE moduleMesh2DCart
 
     END FUNCTION dPsiTriaXi1
 
-    !Derivative element function (xi1)
-    PURE FUNCTION dPsiTriaXi2(xi1) RESULT(dPsiXi2)
+    !Derivative element function (Xi1)
+    PURE FUNCTION dPsiTriaXi2(Xi1) RESULT(dPsiXi2)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi1
+      REAL(8), INTENT(in):: Xi1
       REAL(8):: dPsiXi2(1:3)
 
       dPsiXi2(1) = -1.D0
@@ -759,22 +756,22 @@ MODULE moduleMesh2DCart
 
       CLASS(meshVol2DCartTria), INTENT(in):: self
       REAL(8), ALLOCATABLE:: localK(:,:)
-      REAL(8):: xi(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:3), dPsi(1:2,1:3)
       REAL(8):: invJ(1:2,1:2), detJ
       INTEGER:: l
 
       ALLOCATE(localK(1:4, 1:4))
       localK=0.D0
-      xi=0.D0
+      Xi=0.D0
       !Start 2D Gauss Quad Integral
       DO l=1, 4
-        xi(1)  = xi1Tria(l)
-        xi(2)  = xi2Tria(l)
-        dPsi   = self%dPsi(xi)
-        detJ   = self%detJac(xi,dPsi)
-        invJ   = self%invJac(xi,dPsi)
-        fPsi   = self%fPsi(xi)
+        Xi(1)  = Xi1Tria(l)
+        Xi(2)  = Xi2Tria(l)
+        dPsi   = self%dPsi(Xi)
+        detJ   = self%detJac(Xi,dPsi)
+        invJ   = self%invJac(Xi,dPsi)
+        CALL self%fPsi(Xi, fPsi)
         localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wTria(l)/detJ
 
       END DO
@@ -789,19 +786,19 @@ MODULE moduleMesh2DCart
       REAL(8), INTENT(in):: source(1:)
       REAL(8), ALLOCATABLE:: localF(:)
       REAL(8):: fPsi(1:3)
-      REAL(8):: xi(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: detJ, f
       INTEGER:: l
 
       ALLOCATE(localF(1:3))
       localF = 0.D0
-      xi     = 0.D0
+      Xi     = 0.D0
       !Start 2D Gauss Quad Integral
       DO l=1, 4
-        xi(1)  = xi1Tria(l)
-        xi(2)  = xi2Tria(l)
-        detJ   = self%detJac(xi)
-        fPsi   = self%fPsi(xi)
+        Xi(1)  = Xi1Tria(l)
+        Xi(2)  = Xi2Tria(l)
+        detJ   = self%detJac(Xi)
+        CALL self%fPsi(Xi, fPsi)
         f      = DOT_PRODUCT(fPsi,source)
         localF = localF + f*fPsi*wTria(l)*detJ
 
@@ -809,24 +806,24 @@ MODULE moduleMesh2DCart
 
     END FUNCTION elemFTria
 
-    PURE FUNCTION insideTria(xi) RESULT(ins)
+    PURE FUNCTION insideTria(Xi) RESULT(ins)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       LOGICAL:: ins
 
-      ins =        xi(1)         >= 0.D0 .AND. &
-                           xi(2) >= 0.D0 .AND. &
-            1.D0 - xi(1) - xi(2) >= 0.D0
+      ins =        Xi(1)         >= 0.D0 .AND. &
+                           Xi(2) >= 0.D0 .AND. &
+            1.D0 - Xi(1) - Xi(2) >= 0.D0
 
     END FUNCTION insideTria
 
-    !Gathers the electric field at position xi
-    PURE FUNCTION gatherEFTria(self,xi) RESULT(EF)
+    !Gathers the electric field at position Xi
+    PURE FUNCTION gatherEFTria(self,Xi) RESULT(EF)
       IMPLICIT NONE
 
       CLASS(meshVol2DCartTria), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8):: dPsi(1:2,1:3)
       REAL(8):: dPsiR(1:2,1:3)!Derivative of shpae functions in global coordinates
       REAL(8):: invJ(1:2,1:2), detJ
@@ -837,9 +834,9 @@ MODULE moduleMesh2DCart
               self%n2%emData%phi, &
               self%n3%emData%phi /)
 
-      dPsi  =  self%dPsi(xi)
-      detJ  =  self%detJac(xi,dPsi)
-      invJ  =  self%invJac(xi,dPsi)
+      dPsi  =  self%dPsi(Xi)
+      detJ  =  self%detJac(Xi,dPsi)
+      invJ  =  self%invJac(Xi,dPsi)
       dPsiR =  MATMUL(invJ, dPsi)/detJ
       EF(1) = -DOT_PRODUCT(dPsiR(1,:), phi)
       EF(2) = -DOT_PRODUCT(dPsiR(2,:), phi)
@@ -847,11 +844,11 @@ MODULE moduleMesh2DCart
 
     END FUNCTION gatherEFTria
 
-    PURE FUNCTION gatherMFTria(self,xi) RESULT(MF)
+    PURE FUNCTION gatherMFTria(self,Xi) RESULT(MF)
       IMPLICIT NONE
 
       CLASS(meshVol2DCartTria), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8):: fPsi(1:3)
       REAL(8):: MF_Nodes(1:3,1:3)
       REAL(8):: MF(1:3)
@@ -866,7 +863,7 @@ MODULE moduleMesh2DCart
                           self%n2%emData%B(3), &
                           self%n3%emData%B(3) /)
 
-      fPsi  =  self%fPsi(xi)
+      CALL self%fPsi(Xi, fPsi)
       MF = MATMUL(fPsi, MF_Nodes)
 
     END FUNCTION gatherMFTria
@@ -884,37 +881,37 @@ MODULE moduleMesh2DCart
     END FUNCTION getNodesTria
 
     !Transforms physical coordinates to element coordinates
-    PURE FUNCTION phy2logTria(self,r) RESULT(xi)
+    PURE FUNCTION phy2logTria(self,r) RESULT(Xi)
       IMPLICIT NONE
 
       CLASS(meshVol2DCartTria), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
-      REAL(8):: xi(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: invJ(1:2,1:2), detJ
       REAL(8):: deltaR(1:2)
       REAL(8):: dPsi(1:2,1:3)
 
       !Direct method to convert coordinates
-      xi      = 0.D0 !Irrelevant, required for input
+      Xi      = 0.D0 !Irrelevant, required for input
       deltaR  = (/ r(1) - self%x(1), r(2) - self%y(1) /)
-      dPsi    = self%dPsi(xi)
-      invJ    = self%invJac(xi, dPsi)
-      detJ    = self%detJac(xi, dPsi)
-      xi(1:2) = MATMUL(invJ,deltaR)/detJ
+      dPsi    = self%dPsi(Xi)
+      invJ    = self%invJac(Xi, dPsi)
+      detJ    = self%detJac(Xi, dPsi)
+      Xi(1:2) = MATMUL(invJ,deltaR)/detJ
 
     END FUNCTION phy2logTria
 
-    SUBROUTINE nextElementTria(self, xi, nextElement)
+    SUBROUTINE nextElementTria(self, Xi, nextElement)
       IMPLICIT NONE
 
       CLASS(meshVol2DCartTria), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       CLASS(meshElement), POINTER, INTENT(out):: nextElement
-      REAL(8):: xiArray(1:3)
+      REAL(8):: XiArray(1:3)
       INTEGER:: nextInt
 
-      xiArray = (/ xi(2), 1.D0-xi(1)-xi(2), xi(1) /)
-      nextInt = MINLOC(xiArray,1)
+      XiArray = (/ Xi(2), 1.D0-Xi(1)-Xi(2), Xi(1) /)
+      nextInt = MINLOC(XiArray,1)
       NULLIFY(nextElement)
       SELECT CASE (nextInt)
       CASE (1)
@@ -929,11 +926,11 @@ MODULE moduleMesh2DCart
 
     !COMMON FUNCTIONS FOR CARTESIAN VOLUME ELEMENTS IN 2D
     !Computes element Jacobian determinant
-    PURE FUNCTION detJ2DCart(self, xi, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ2DCart(self, Xi, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
       CLASS(meshVol2DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
       REAL(8):: dJ
@@ -943,7 +940,7 @@ MODULE moduleMesh2DCart
         dPsi = dPsi_in
 
       ELSE
-        dPsi = self%dPsi(xi)
+        dPsi = self%dPsi(Xi)
 
       END IF
 
@@ -953,11 +950,11 @@ MODULE moduleMesh2DCart
     END FUNCTION detJ2DCart
 
     !Computes element Jacobian inverse matrix (without determinant)
-    PURE FUNCTION invJ2DCart(self,xi,dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ2DCart(self,Xi,dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
       CLASS(meshVol2DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
       REAL(8):: dx(1:2), dy(1:2)
@@ -967,7 +964,7 @@ MODULE moduleMesh2DCart
         dPsi=dPsi_in
 
       ELSE
-        dPsi = self%dPsi(xi)
+        dPsi = self%dPsi(Xi)
 
       END IF
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index c576c71..2869cb3 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -310,49 +310,52 @@ MODULE moduleMesh2DCyl
       CLASS(meshVol2DCylQuad), INTENT(inout):: self
       REAL(8):: r, xi(1:3)
       REAL(8):: detJ
-      REAL(8):: fPsi(1:4)
+      REAL(8):: fPsi(1:4), fPsi_node(1:4)
 
       self%volume  = 0.D0
       self%arNodes = 0.D0
       !2D 1 point Gauss Quad Integral
       xi = 0.D0
       detJ = self%detJac(xi)*PI8 !4*2*pi
-      fPsi = self%fPsi(xi)
+      CALL self%fPsi(xi, fPsi)
       !Computes total volume of the cell
       r = DOT_PRODUCT(fPsi,self%r)
       self%volume  = r*detJ
       !Computes volume per node
       xi = (/-5.D-1, -5.D-1, 0.D0/)
-      r = DOT_PRODUCT(self%fPsi(xi),self%r)
+      CALL self%fPsi(xi, fPsi_node)
+      r = DOT_PRODUCT(fPsi_node,self%r)
       self%arNodes(1) = fPsi(1)*r*detJ
       xi = (/ 5.D-1, -5.D-1, 0.D0/)
-      r = DOT_PRODUCT(self%fPsi(xi),self%r)
+      CALL self%fPsi(xi, fPsi_node)
+      r = DOT_PRODUCT(fPsi_node,self%r)
       self%arNodes(2) = fPsi(2)*r*detJ
       xi = (/ 5.D-1,  5.D-1, 0.D0/)
-      r = DOT_PRODUCT(self%fPsi(xi),self%r)
+      CALL self%fPsi(xi, fPsi_node)
+      r = DOT_PRODUCT(fPsi_node,self%r)
       self%arNodes(3) = fPsi(3)*r*detJ
       xi = (/-5.D-1,  5.D-1, 0.D0/)
-      r = DOT_PRODUCT(self%fPsi(xi),self%r)
+      CALL self%fPsi(xi, fPsi_node)
+      r = DOT_PRODUCT(fPsi_node,self%r)
       self%arNodes(4) = fPsi(4)*r*detJ
 
     END SUBROUTINE areaQuad
 
     !Computes element functions in point xi
-    PURE FUNCTION fPsiQuad(xi) RESULT(fPsi) 
+    PURE SUBROUTINE fPsiQuad(xi, fPsi)
       IMPLICIT NONE
 
-      REAL(8),INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
+      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(out):: fPsi(:)
 
-      ALLOCATE(fPsi(1:4))
+      fPsi(1) = (1.D0-xi(1)) * (1.D0-xi(2))
+      fPsi(2) = (1.D0+xi(1)) * (1.D0-xi(2))
+      fPsi(3) = (1.D0+xi(1)) * (1.D0+xi(2))
+      fPsi(4) = (1.D0-xi(1)) * (1.D0+xi(2))
 
-      fPsi(1) = (1.D0-xi(1))*(1.D0-xi(2))
-      fPsi(2) = (1.D0+xi(1))*(1.D0-xi(2))
-      fPsi(3) = (1.D0+xi(1))*(1.D0+xi(2))
-      fPsi(4) = (1.D0-xi(1))*(1.D0+xi(2))
       fPsi    = fPsi*0.25D0
 
-    END FUNCTION fPsiQuad
+    END SUBROUTINE fPsiQuad
 
     !Derivative element function at coordinates xi
     PURE FUNCTION dPsiQuad(xi) RESULT(dPsi)
@@ -375,10 +378,11 @@ MODULE moduleMesh2DCyl
       REAL(8),INTENT(in):: xi2
       REAL(8):: dPsiXi1(1:4)
 
-      dPsiXi1(1) = -(1.D0-xi2)
-      dPsiXi1(2) =  (1.D0-xi2)
-      dPsiXi1(3) =  (1.D0+xi2)
-      dPsiXi1(4) = -(1.D0+xi2)
+      dPsiXi1(1) = -(1.D0 - xi2)
+      dPsiXi1(2) =  (1.D0 - xi2)
+      dPsiXi1(3) =  (1.D0 + xi2)
+      dPsiXi1(4) = -(1.D0 + xi2)
+
       dPsiXi1    = dPsiXi1*0.25D0
       
     END FUNCTION dPsiQuadXi1
@@ -390,11 +394,12 @@ MODULE moduleMesh2DCyl
       REAL(8),INTENT(in):: xi1
       REAL(8):: dPsiXi2(1:4)
 
-      dPsiXi2(1) = -(1.D0-xi1)
-      dPsiXi2(2) = -(1.D0+xi1)
-      dPsiXi2(3) =  (1.D0+xi1)
-      dPsiXi2(4) =  (1.D0-xi1)
-      dPsiXi2    = dPsiXi2*0.25D0
+      dPsiXi2(1) = -(1.D0 - xi1)
+      dPsiXi2(2) = -(1.D0 + xi1)
+      dPsiXi2(3) =  (1.D0 + xi1)
+      dPsiXi2(4) =  (1.D0 - xi1)
+
+      dPsiXi2    = dPsiXi2 * 0.25D0
 
     END FUNCTION dPsiQuadXi2
 
@@ -427,7 +432,7 @@ MODULE moduleMesh2DCyl
       xii(2) = random(-1.D0, 1.D0)
       xii(3) = 0.D0
 
-      fPsi = self%fPsi(xii)
+      CALL self%fPsi(xii, fPsi)
 
       r(1) = DOT_PRODUCT(fPsi, self%z)
       r(2) = DOT_PRODUCT(fPsi, self%r)
@@ -457,7 +462,7 @@ MODULE moduleMesh2DCyl
         DO m = 1, 3
           xi(1)     = corQuad(m)
           dPsi(2,:) = self%dPsiXi2(xi(1))
-          fPsi      = self%fPsi(xi)
+          CALL self%fPsi(xi, fPsi)
           detJ      = self%detJac(xi,dPsi)
           invJ      = self%invJac(xi,dPsi)
           r         = DOT_PRODUCT(fPsi,self%r)
@@ -492,7 +497,7 @@ MODULE moduleMesh2DCyl
         DO m = 1, 3
           xi(2)  = corQuad(m)
           detJ   = self%detJac(xi)
-          fPsi   = self%fPsi(xi)
+          CALL self%fPsi(xi, fPsi)
           r      = DOT_PRODUCT(fPsi,self%r)
           f      = DOT_PRODUCT(fPsi,source)
           localF = localF + r*f*fPsi*wQuad(l)*wQuad(m)*detJ
@@ -564,7 +569,7 @@ MODULE moduleMesh2DCyl
                           self%n3%emData%B(3), &
                           self%n4%emData%B(3) /)
 
-      fPsi  =  self%fPsi(xi)
+      CALL self%fPsi(xi, fPsi)
       MF = MATMUL(fPsi(:), MF_Nodes)
 
     END FUNCTION gatherMFQuad
@@ -582,30 +587,30 @@ MODULE moduleMesh2DCyl
     END FUNCTION getNodesQuad
 
     !Transforms physical coordinates to element coordinates
-    PURE FUNCTION phy2logQuad(self,r) RESULT(xN) 
+    PURE FUNCTION phy2logQuad(self,r) RESULT(XiN) 
       IMPLICIT NONE
 
       CLASS(meshVol2DCylQuad), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
-      REAL(8):: xN(1:3)
-      REAL(8):: xO(1:3), detJ, invJ(1:2,1:2), f(1:2)
+      REAL(8):: XiN(1:3)
+      REAL(8):: XiO(1:3), detJ, invJ(1:2,1:2), f(1:2)
       REAL(8):: dPsi(1:2,1:4), fPsi(1:4)
       REAL(8):: conv
 
       !Iterative newton method to transform coordinates
       conv=1.D0
-      xO=0.D0
+      XiO=0.D0
 
-      DO WHILE(conv>1.D-4)
-        dPsi = self%dPsi(xO)
-        invJ = self%invJac(xO, dPsi)
-        fPsi = self%fPsi(xO)
-        f(1) = DOT_PRODUCT(fPsi,self%z)-r(1)
-        f(2) = DOT_PRODUCT(fPsi,self%r)-r(2)
-        detJ = self%detJac(xO,dPsi)
-        xN(1:2)=xO(1:2) - MATMUL(invJ, f)/detJ
-        conv=MAXVAL(DABS(xN-xO),1)
-        xO=xN
+      DO WHILE(conv>1.D-3)
+        CALL self%fPsi(XiO, fPsi)
+        f = (/ DOT_PRODUCT(fPsi,self%z)-r(1), &
+               DOT_PRODUCT(fPsi,self%r)-r(2) /)
+        dPsi = self%dPsi(XiO)
+        invJ = self%invJac(XiO, dPsi)
+        detJ = self%detJac(XiO,dPsi)
+        XiN(1:2)=XiO(1:2) - MATMUL(invJ, f)/detJ
+        conv=MAXVAL(DABS(XiN-XiO),1)
+        XiO=XiN
 
       END DO
 
@@ -690,7 +695,7 @@ MODULE moduleMesh2DCyl
       xii(2) = random( 0.D0, 1.D0 - xii(1))
       xii(3) = 0.D0
 
-      fPsi = self%fPsi(xii)
+      CALL self%fPsi(xii, fPsi)
 
       r(1) = DOT_PRODUCT(fPsi, self%z)
       r(2) = DOT_PRODUCT(fPsi, self%r)
@@ -713,7 +718,7 @@ MODULE moduleMesh2DCyl
       !2D 1 point Gauss Quad Integral
       xi = (/1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
       detJ  = self%detJac(xi)*PI !2PI*1/2
-      fPsi  = self%fPsi(xi)
+      CALL self%fPsi(xi, fPsi)
       !Computes total volume of the cell
       r = DOT_PRODUCT(fPsi,self%r)
       self%volume  =      r*detJ
@@ -723,19 +728,17 @@ MODULE moduleMesh2DCyl
     END SUBROUTINE areaTria
 
     !Shape functions for triangular element
-    PURE FUNCTION fPsiTria(xi) RESULT(fPsi)
+    PURE SUBROUTINE fPsiTria(xi, fPsi)
       IMPLICIT NONE
 
       REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
-
-      ALLOCATE(fPsi(1:3))
+      REAL(8), INTENT(out):: fPsi(:)
 
       fPsi(1) = 1.D0 - xi(1) - xi(2)
       fPsi(2) =        xi(1)
       fPsi(3) =                xi(2)
 
-    END FUNCTION fPsiTria
+    END SUBROUTINE fPsiTria
 
     !Derivative element function at coordinates xi
     PURE FUNCTION dPsiTria(xi) RESULT(dPsi)
@@ -813,7 +816,7 @@ MODULE moduleMesh2DCyl
         dPsi   = self%dPsi(xi)
         detJ   = self%detJac(xi,dPsi)
         invJ   = self%invJac(xi,dPsi)
-        fPsi   = self%fPsi(xi)
+        CALL self%fPsi(xi, fPsi)
         r      = DOT_PRODUCT(fPsi,self%r)
         localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*r*wTria(l)/detJ
 
@@ -843,7 +846,7 @@ MODULE moduleMesh2DCyl
         xi(1)  = xi1Tria(l)
         xi(2)  = xi2Tria(l)
         detJ   = self%detJac(xi)
-        fPsi   = self%fPsi(xi)
+        CALL self%fPsi(xi, fPsi)
         r      = DOT_PRODUCT(fPsi,self%r)
         f      = DOT_PRODUCT(fPsi,source)
         localF = localF + r*f*fPsi*wTria(l)*detJ
@@ -910,7 +913,7 @@ MODULE moduleMesh2DCyl
                           self%n2%emData%B(3), &
                           self%n3%emData%B(3) /)
 
-      fPsi  =  self%fPsi(xi)
+      CALL self%fPsi(xi, fPsi)
       MF = MATMUL(fPsi, MF_Nodes)
 
     END FUNCTION gatherMFTria
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 0add18a..4b29c16 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -41,8 +41,8 @@ MODULE moduleMesh3DCart
   END TYPE meshVol3DCart
 
   ABSTRACT INTERFACE
-    PURE FUNCTION dPsi_interface(xii) RESULT(dPsi)
-      REAL(8), INTENT(in):: xii(1:3)
+    PURE FUNCTION dPsi_interface(Xi) RESULT(dPsi)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
 
     END FUNCTION dPsi_interface
@@ -71,8 +71,8 @@ MODULE moduleMesh3DCart
       PROCEDURE, PASS::   calcVol     => volumeTetra
       PROCEDURE, NOPASS:: fPsi        => fPsiTetra
       PROCEDURE, NOPASS:: dPsi        => dPsiTetra
-      PROCEDURE, NOPASS:: dPsiXi1     => dPsiTetraXii1
-      PROCEDURE, NOPASS:: dPsiXi2     => dPsiTetraXii2
+      PROCEDURE, NOPASS:: dPsiXi1     => dPsiTetraXi1
+      PROCEDURE, NOPASS:: dPsiXi2     => dPsiTetraXi2
       PROCEDURE, PASS::   partialDer  => partialDerTetra
       PROCEDURE, PASS::   elemK       => elemKTetra
       PROCEDURE, PASS::   elemF       => elemFTetra
@@ -213,14 +213,14 @@ MODULE moduleMesh3DCart
 
       CLASS(meshEdge3DCartTria), INTENT(in):: self
       REAL(8):: r(1:3)
-      REAL(8):: xii(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:3)
 
-      xii(1) = random( 0.D0, 1.D0)
-      xii(2) = random( 0.D0, 1.D0 - xii(1))
-      xii(3) = 0.D0
+      Xi(1) = random( 0.D0, 1.D0)
+      Xi(2) = random( 0.D0, 1.D0 - Xi(1))
+      Xi(3) = 0.D0
 
-      fPsi = self%fPsi(xii)
+      fPsi = self%fPsi(Xi)
       r = (/DOT_PRODUCT(fPsi, self%x), &
             DOT_PRODUCT(fPsi, self%y), &
             DOT_PRODUCT(fPsi, self%z)/)
@@ -228,17 +228,17 @@ MODULE moduleMesh3DCart
     END FUNCTION randPosEdgeTria
 
     !Shape functions for triangular surface
-    PURE FUNCTION fPsiEdgeTria(xii) RESULT(fPsi)
+    PURE FUNCTION fPsiEdgeTria(Xi) RESULT(fPsi)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xii(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), ALLOCATABLE:: fPsi(:)
 
       ALLOCATE(fPsi(1:3))
 
-      fPsi(1) = 1.D0 - xii(1) - xii(2)
-      fPsi(2) =        xii(1)
-      fPsi(3) =                 xii(2)
+      fPsi(1) = 1.D0 - Xi(1) - Xi(2)
+      fPsi(2) =        Xi(1)
+      fPsi(3) =                 Xi(2)
 
     END FUNCTION fPsiEdgeTria
 
@@ -254,6 +254,7 @@ MODULE moduleMesh3DCart
       INTEGER, INTENT(in):: p(:)
       TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3, r4 !Positions of each node
+      REAL(8):: Xi(1:3), fPsi(1:4)
       REAL(8):: volNodes(1:4) !Volume of each node
 
       self%n  = n
@@ -274,8 +275,9 @@ MODULE moduleMesh3DCart
       CALL self%calcVol()
 
       !Assign proportional volume to each node
-      !TODO: Review this to apply to all elements in the future
-      volNodes = self%fPsi((/0.25D0, 0.25D0, 0.25D0/))*self%volume
+      Xi = (/0.25D0, 0.25D0, 0.25D0/)
+      CALL self%fPsi(Xi, fPsi)
+      volNodes = fPsi*self%volume
       self%n1%v = self%n1%v + volNodes(1)
       self%n2%v = self%n2%v + volNodes(2)
       self%n3%v = self%n3%v + volNodes(3)
@@ -295,19 +297,18 @@ MODULE moduleMesh3DCart
 
       CLASS(meshVol3DCartTetra), INTENT(in):: self
       REAL(8):: r(1:3)
-      REAL(8):: xii(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
+      REAL(8):: Xi(1:3)
+      REAL(8):: fPsi(1:4)
 
-      xii(1) = random( 0.D0, 1.D0)
-      xii(2) = random( 0.D0, 1.D0 - xii(1))
-      xii(3) = random( 0.D0, 1.D0 - xii(1) - xii(2))
+      Xi(1) = random( 0.D0, 1.D0)
+      Xi(2) = random( 0.D0, 1.D0 - Xi(1))
+      Xi(3) = random( 0.D0, 1.D0 - Xi(1) - Xi(2))
 
-      ALLOCATE(fPsi(1:4))
-      fPsi = self%fPsi(xii)
+      CALL self%fPsi(Xi, fPsi)
 
-      r(1) = DOT_PRODUCT(fPsi, self%x)
-      r(2) = DOT_PRODUCT(fPsi, self%y)
-      r(3) = DOT_PRODUCT(fPsi, self%z)
+      r = (/ DOT_PRODUCT(fPsi, self%x), &
+             DOT_PRODUCT(fPsi, self%y), &
+             DOT_PRODUCT(fPsi, self%z) /)
 
     END FUNCTION randPosVolTetra
 
@@ -316,83 +317,81 @@ MODULE moduleMesh3DCart
       IMPLICIT NONE
 
       CLASS(meshVol3DCartTetra), INTENT(inout):: self
-      REAL(8):: xii(1:3)
+      REAL(8):: Xi(1:3)
 
       self%volume = 0.D0
-      xii = (/0.25D0, 0.25D0, 0.25D0/)
-      self%volume = self%detJac(xii)
+      Xi = (/0.25D0, 0.25D0, 0.25D0/)
+      self%volume = self%detJac(Xi)
 
     END SUBROUTINE volumeTetra
 
-    !Computes element functions in point xii
-    PURE FUNCTION fPsiTetra(xi) RESULT(fPsi)
+    !Computes element functions in point Xi
+    PURE SUBROUTINE fPsiTetra(Xi, fPsi)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8), INTENT(out):: fPsi(:)
 
-      ALLOCATE(fPsi(1:4))
+      fPsi(1) = 1.D0 - Xi(1) - Xi(2) - Xi(3)
+      fPsi(2) =        Xi(1)
+      fPsi(3) =                Xi(2)
+      fPsi(4) =                        Xi(3)
 
-      fPsi(1) = 1.D0 - xi(1) - xi(2) - xi(3)
-      fPsi(2) =        xi(1)
-      fPsi(3) =                xi(2)
-      fPsi(4) =                        xi(3)
+    END SUBROUTINE fPsiTetra
 
-    END FUNCTION fPsiTetra
-
-    !Derivative element function at coordinates xii
-    PURE FUNCTION dPsiTetra(xii) RESULT(dPsi)
+    !Derivative element function at coordinates Xi
+    PURE FUNCTION dPsiTetra(Xi) RESULT(dPsi)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xii(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
 
       ALLOCATE(dPsi(1:3,1:4))
 
-      dPsi(1,:) = dPsiTetraXii1(xii(2), xii(3))
-      dPsi(2,:) = dPsiTetraXii2(xii(1), xii(3))
-      dPsi(3,:) = dPsiTetraXii3(xii(1), xii(2))
+      dPsi(1,:) = dPsiTetraXi1(Xi(2), Xi(3))
+      dPsi(2,:) = dPsiTetraXi2(Xi(1), Xi(3))
+      dPsi(3,:) = dPsiTetraXi3(Xi(1), Xi(2))
 
     END FUNCTION dPsiTetra
 
-    !Derivative element function respect to xii1
-    PURE FUNCTION dPsiTetraXii1(xii2, xii3) RESULT(dPsiXii1)
+    !Derivative element function respect to Xi1
+    PURE FUNCTION dPsiTetraXi1(Xi2, Xi3) RESULT(dPsiXi1)
       IMPLICIT NONE
-      REAL(8), INTENT(in):: xii2, xii3
-      REAL(8):: dPsiXii1(1:4)
+      REAL(8), INTENT(in):: Xi2, Xi3
+      REAL(8):: dPsiXi1(1:4)
 
-      dPsiXii1(1) = -1.D0
-      dPsiXii1(2) =  1.D0
-      dPsiXii1(3) =  0.D0
-      dPsiXii1(4) =  0.D0
+      dPsiXi1(1) = -1.D0
+      dPsiXi1(2) =  1.D0
+      dPsiXi1(3) =  0.D0
+      dPsiXi1(4) =  0.D0
 
-    END FUNCTION dPsiTetraXii1
+    END FUNCTION dPsiTetraXi1
       
-    !Derivative element function respect to xii2
-    PURE FUNCTION dPsiTetraXii2(xii1, xii3) RESULT(dPsiXii2)
+    !Derivative element function respect to Xi2
+    PURE FUNCTION dPsiTetraXi2(Xi1, Xi3) RESULT(dPsiXi2)
       IMPLICIT NONE
-      REAL(8), INTENT(in):: xii1, xii3
-      REAL(8):: dPsiXii2(1:4)
+      REAL(8), INTENT(in):: Xi1, Xi3
+      REAL(8):: dPsiXi2(1:4)
 
-      dPsiXii2(1) = -1.D0
-      dPsiXii2(2) =  0.D0
-      dPsiXii2(3) =  1.D0
-      dPsiXii2(4) =  0.D0
+      dPsiXi2(1) = -1.D0
+      dPsiXi2(2) =  0.D0
+      dPsiXi2(3) =  1.D0
+      dPsiXi2(4) =  0.D0
 
-    END FUNCTION dPsiTetraXii2
+    END FUNCTION dPsiTetraXi2
       
-    !Derivative element function respect to xii3
-    PURE FUNCTION dPsiTetraXii3(xii1, xii2) RESULT(dPsiXii3)
+    !Derivative element function respect to Xi3
+    PURE FUNCTION dPsiTetraXi3(Xi1, Xi2) RESULT(dPsiXi3)
       IMPLICIT NONE
-      REAL(8), INTENT(in):: xii1, xii2
-      REAL(8):: dPsiXii3(1:4)
+      REAL(8), INTENT(in):: Xi1, Xi2
+      REAL(8):: dPsiXi3(1:4)
 
-      dPsiXii3(1) = -1.D0
-      dPsiXii3(2) =  0.D0
-      dPsiXii3(3) =  0.D0
-      dPsiXii3(4) =  1.D0
+      dPsiXi3(1) = -1.D0
+      dPsiXi3(2) =  0.D0
+      dPsiXi3(3) =  0.D0
+      dPsiXi3(4) =  1.D0
 
-    END FUNCTION dPsiTetraXii3
+    END FUNCTION dPsiTetraXi3
     
     !Computes the derivatives in global coordinates
     PURE SUBROUTINE partialDerTetra(self, dPsi, dx, dy, dz)
@@ -421,19 +420,19 @@ MODULE moduleMesh3DCart
 
       CLASS(meshVol3DCartTetra), INTENT(in):: self
       REAL(8), ALLOCATABLE:: localK(:,:)
-      REAL(8):: xii(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
       REAL(8):: invJ(1:3,1:3), detJ
 
       ALLOCATE(localK(1:4,1:4))
       localK = 0.D0
-      xii    = 0.D0
+      Xi    = 0.D0
       !TODO: One point Gauss integral. Upgrade when possible
-      xii    = (/ 0.25D0, 0.25D0, 0.25D0 /)
-      dPsi   = self%dPsi(xii)
-      detJ   = self%detJac(xii, dPsi)
-      invJ   = self%invJac(xii, dPsi)
-      fPsi   = self%fPsi(xii)
+      Xi    = (/ 0.25D0, 0.25D0, 0.25D0 /)
+      dPsi   = self%dPsi(Xi)
+      detJ   = self%detJac(Xi, dPsi)
+      invJ   = self%invJac(Xi, dPsi)
+      CALL self%fPsi(Xi, fPsi)
       localK = MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*1.D0/detJ
 
     END FUNCTION elemKTetra
@@ -445,40 +444,40 @@ MODULE moduleMesh3DCart
       REAL(8), INTENT(in):: source(1:)
       REAL(8), ALLOCATABLE:: localF(:)
       REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
-      REAL(8):: xii(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: detJ, f
 
       ALLOCATE(localF(1:4))
+
       localF = 0.D0
-      xii    = 0.D0
-      !TODO: One point Gauss integral. Upgrade when possible
-      xii = (/ 0.25D0, 0.25D0, 0.25D0 /)
-      dPsi = self%dPsi(xii)
-      detJ = self%detJac(xii, dPsi)
-      fPsi = self%fPsi(xii)
+      Xi   = 0.D0
+      Xi   = (/ 0.25D0, 0.25D0, 0.25D0 /)
+      dPsi = self%dPsi(Xi)
+      detJ = self%detJac(Xi, dPsi)
+      CALL self%fPsi(Xi, fPsi)
       f    = DOT_PRODUCT(fPsi, source)
       localF = f*fPsi*1.D0*detJ
 
     END FUNCTION elemFTetra
 
-    PURE FUNCTION insideTetra(xi) RESULT(ins)
+    PURE FUNCTION insideTetra(Xi) RESULT(ins)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       LOGICAL:: ins
 
-      ins =        xi(1)                 >= 0.D0 .AND. &
-                           xi(2)         >= 0.D0 .AND. &
-                                   xi(3) >= 0.D0 .AND. &
-            1.D0 - xi(1) - xi(2) - xi(3) >= 0.D0
+      ins =        Xi(1)                 >= 0.D0 .AND. &
+                           Xi(2)         >= 0.D0 .AND. &
+                                   Xi(3) >= 0.D0 .AND. &
+            1.D0 - Xi(1) - Xi(2) - Xi(3) >= 0.D0
       
     END FUNCTION insideTetra
 
-    PURE FUNCTION gatherEFTetra(self, xi) RESULT(EF)
+    PURE FUNCTION gatherEFTetra(self, Xi) RESULT(EF)
       IMPLICIT NONE
 
       CLASS(meshVol3DCartTetra), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8):: dPsi(1:3, 1:4)
       REAL(8):: dPsiR(1:3, 1:4)
       REAL(8):: invJ(1:3, 1:3), detJ
@@ -490,9 +489,9 @@ MODULE moduleMesh3DCart
               self%n3%emData%phi, &
               self%n4%emData%phi /)
 
-      dPsi  = self%dPsi(xi)
-      detJ  = self%detJac(xi, dPsi)
-      invJ  = self%invJac(xi, dPsi)
+      dPsi  = self%dPsi(Xi)
+      detJ  = self%detJac(Xi, dPsi)
+      invJ  = self%invJac(Xi, dPsi)
       dPsiR =  MATMUL(invJ, dPsi)/detJ
       EF(1) = -DOT_PRODUCT(dPsiR(1,:), phi)
       EF(2) = -DOT_PRODUCT(dPsiR(2,:), phi)
@@ -500,11 +499,11 @@ MODULE moduleMesh3DCart
 
     END FUNCTION gatherEFTetra
 
-    PURE FUNCTION gatherMFTetra(self, xi) RESULT(MF)
+    PURE FUNCTION gatherMFTetra(self, Xi) RESULT(MF)
       IMPLICIT NONE
 
       CLASS(meshVol3DCartTetra), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8):: fPsi(1:4)
       REAL(8):: MF_Nodes(1:4,1:3)
       REAL(8):: MF(1:3)
@@ -522,7 +521,7 @@ MODULE moduleMesh3DCart
                           self%n3%emData%B(3), &
                           self%n4%emData%B(3) /)
 
-      fPsi  = self%fPsi(xi)
+      CALL self%fPsi(Xi, fPsi)
       MF = MATMUL(fPsi, MF_Nodes)
 
     END FUNCTION gatherMFTetra
@@ -538,37 +537,37 @@ MODULE moduleMesh3DCart
 
     END FUNCTION getNodesTetra
 
-    PURE FUNCTION phy2logTetra(self,r) RESULT(xi)
+    PURE FUNCTION phy2logTetra(self,r) RESULT(Xi)
       IMPLICIT NONE
 
       CLASS(meshVol3DCartTetra), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
-      REAL(8):: xi(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: invJ(1:3, 1:3), detJ
       REAL(8):: deltaR(1:3)
       REAL(8):: dPsi(1:3, 1:4)
 
-      xi     = 0.D0
+      Xi     = 0.D0
       deltaR = (/r(1) - self%x(1), r(2) - self%y(1), r(3) - self%z(1) /)
-      dPsi   = self%dPsi(xi)
-      invJ   = self%invJac(xi, dPsi)
-      detJ   = self%detJac(xi, dPsi)
-      xi     = MATMUL(invJ, deltaR)/detJ
+      dPsi   = self%dPsi(Xi)
+      invJ   = self%invJac(Xi, dPsi)
+      detJ   = self%detJac(Xi, dPsi)
+      Xi     = MATMUL(invJ, deltaR)/detJ
 
     END FUNCTION phy2logTetra
     
-    SUBROUTINE nextElementTetra(self, xi, nextElement)
+    SUBROUTINE nextElementTetra(self, Xi, nextElement)
       IMPLICIT NONE
 
       CLASS(meshVol3DCartTetra), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       CLASS(meshElement), POINTER, INTENT(out):: nextElement
-      REAL(8):: xiArray(1:4)
+      REAL(8):: XiArray(1:4)
       INTEGER:: nextInt
 
       !TODO: Review when connectivity
-      xiArray = (/ xi(3), 1.D0 - xi(1) - xi(2) - xi(3), xi(2), xi(1) /)
-      nextInt = MINLOC(xiArray, 1)
+      XiArray = (/ Xi(3), 1.D0 - Xi(1) - Xi(2) - Xi(3), Xi(2), Xi(1) /)
+      nextInt = MINLOC(XiArray, 1)
       NULLIFY(nextElement)
       SELECT CASE(nextInt)
       CASE (1)
@@ -585,11 +584,11 @@ MODULE moduleMesh3DCart
 
     !COMMON FUNCTIONS FOR CARTESIAN VOLUME ELEMENTS IN 3D
     !Computes element Jacobian determinant
-    PURE FUNCTION detJ3DCart(self, xi, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ3DCart(self, Xi, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
       CLASS(meshVol3DCart), INTENT(in)::self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:, 1:)
       REAL(8):: dJ
       REAL(8), ALLOCATABLE:: dPsi(:,:)
@@ -599,7 +598,7 @@ MODULE moduleMesh3DCart
         dPsi = dPsi_in
 
       ELSE
-        dPsi = self%dPsi(xi)
+        dPsi = self%dPsi(Xi)
 
       END IF
 
@@ -610,11 +609,11 @@ MODULE moduleMesh3DCart
 
     END FUNCTION detJ3DCart
 
-    PURE FUNCTION invJ3DCart(self,xi,dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ3DCart(self,Xi,dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
       CLASS(meshVol3DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
       REAL(8), ALLOCATABLE:: dPsi(:,:)
       REAL(8), DIMENSION(1:3):: dx, dy, dz
@@ -624,7 +623,7 @@ MODULE moduleMesh3DCart
         dPsi=dPsi_in
 
       ELSE
-        dPsi = self%dPsi(xi)
+        dPsi = self%dPsi(Xi)
 
       END IF
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 05c4b85..11e8bc7 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -211,11 +211,11 @@ MODULE moduleMesh
 
     END FUNCTION getNodesVol_interface
 
-    PURE FUNCTION fPsi_interface(xi) RESULT(fPsi)
+    PURE SUBROUTINE fPsi_interface(xi, fPsi)
       REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
+      REAL(8), INTENT(out):: fPsi(:)
 
-    END FUNCTION fPsi_interface
+    END SUBROUTINE fPsi_interface
 
     PURE FUNCTION elemK_interface(self) RESULT(localK)
       IMPORT:: meshVol
@@ -496,11 +496,14 @@ MODULE moduleMesh
       INTEGER:: i, nNodes
       CLASS(meshNode), POINTER:: node
 
-      fPsi = self%fPsi(part%xi)
-      tensorS = outerProduct(part%v, part%v)
-      sp = part%species%n
       volNodes = self%getNodes()
       nNodes = SIZE(volNodes)
+      ALLOCATE(fPsi(1:nNodes))
+      CALL self%fPsi(part%xi, fPsi)
+
+      tensorS = outerProduct(part%v, part%v)
+
+      sp = part%species%n
       
       DO i = 1, nNodes
         node => mesh%nodes(volNodes(i))%obj

From 2486ef63162bc102e0da11fa1461de0289ba0e85 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Thu, 5 Jan 2023 16:47:13 +0100
Subject: [PATCH 071/203] Reduction in pushing

Reduction in 10-20% of time spend in pushing in 2DCyl thanks to
rewriting fPsi and dPsi.
---
 src/modules/init/moduleInput.f90              |  30 +-
 src/modules/mesh/0D/moduleMesh0D.f90          | 133 ++--
 src/modules/mesh/1DCart/moduleMesh1DCart.f90  | 223 +++---
 src/modules/mesh/1DRad/moduleMesh1DRad.f90    | 223 +++---
 src/modules/mesh/2DCart/moduleMesh2DCart.f90  | 491 ++++++-------
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    | 675 +++++++++---------
 src/modules/mesh/3DCart/moduleMesh3DCart.f90  | 277 ++++---
 .../mesh/inout/0D/moduleMeshInput0D.f90       |   8 +-
 .../mesh/inout/0D/moduleMeshOutput0D.f90      |   2 +-
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 |  24 +-
 .../inout/gmsh2/moduleMeshOutputGmsh2.f90     |  16 +-
 src/modules/mesh/moduleMesh.f90               | 362 ++++++----
 src/modules/mesh/moduleMeshBoundary.f90       |   4 +-
 src/modules/moduleCollisions.f90              |   1 -
 src/modules/moduleInject.f90                  |   4 +-
 .../solver/electromagnetic/moduleEM.f90       |  40 +-
 src/modules/solver/moduleSolver.f90           |  30 +-
 src/modules/solver/pusher/modulePusher.f90    |  26 +-
 18 files changed, 1289 insertions(+), 1280 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index aaf4b08..3ff9e5b 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -337,7 +337,7 @@ MODULE moduleInput
       !Mean velocity and temperature at particle position
       REAL(8):: velocityXi(1:3), temperatureXi
       INTEGER:: nNewPart = 0.D0
-      CLASS(meshVol), POINTER:: vol
+      CLASS(meshCell), POINTER:: vol
       TYPE(particle), POINTER:: partNew
       REAL(8):: vTh
       TYPE(lNode), POINTER:: partCurr, partNext
@@ -356,13 +356,13 @@ MODULE moduleInput
           filename = path // spFile
           CALL mesh%readInitial(sp, filename, density, velocity, temperature)
           !For each volume in the node, create corresponding particles
-          DO e = 1, mesh%numVols
+          DO e = 1, mesh%numCells
             !Scale variables
             !Density at centroid of cell
-            nodes = mesh%vols(e)%obj%getNodes()
-            nNodes = SIZE(nodes)
+            nodes = mesh%cells(e)%obj%getNodes()
+            nNodes = mesh%cells(e)%obj%nNodes
             ALLOCATE(fPsi(1:nNodes))
-            CALL mesh%vols(e)%obj%fPsi((/0.D0, 0.D0, 0.D0/), fPsi)
+            fPsi = mesh%cells(e)%obj%fPsi((/0.D0, 0.D0, 0.D0/))
             ALLOCATE(source(1:nNodes))
             DO j = 1, nNodes
               source(j) = density(nodes(j))
@@ -371,16 +371,16 @@ MODULE moduleInput
             densityCen = DOT_PRODUCT(fPsi, source)
 
             !Calculate number of particles
-            nNewPart = INT(densityCen * (mesh%vols(e)%obj%volume*Vol_ref) / species(sp)%obj%weight)
+            nNewPart = INT(densityCen * (mesh%cells(e)%obj%volume*Vol_ref) / species(sp)%obj%weight)
 
             !Allocate new particles
             DO p = 1, nNewPart
               ALLOCATE(partNew)
               partNew%species => species(sp)%obj
-              partNew%r       =  mesh%vols(e)%obj%randPos()
-              partNew%xi      =  mesh%vols(e)%obj%phy2log(partNew%r)
+              partNew%r       =  mesh%cells(e)%obj%randPos()
+              partNew%xi      =  mesh%cells(e)%obj%phy2log(partNew%r)
               !Get mean velocity at particle position
-              CALL mesh%vols(e)%obj%fPsi(partNew%xi, fPsi)
+              fPsi = mesh%cells(e)%obj%fPsi(partNew%xi)
               DO j = 1, nNodes
                 source(j) = velocity(nodes(j), 1)
 
@@ -426,7 +426,7 @@ MODULE moduleInput
               CALL partInitial%add(partNew)
 
               !Assign particle to list in volume
-              vol => meshforMCC%vols(partNew%volColl)%obj
+              vol => meshforMCC%cells(partNew%volColl)%obj
               CALL OMP_SET_LOCK(vol%lock)
               CALL vol%listPart_in(sp)%add(partNew)
               vol%totalWeight(sp) = vol%totalWeight(sp) + partNew%weight
@@ -643,7 +643,7 @@ MODULE moduleInput
       REAL(8):: energyThreshold, energyBinding
       CHARACTER(:), ALLOCATABLE:: electron
       INTEGER:: e
-      CLASS(meshVol), POINTER:: vol
+      CLASS(meshCell), POINTER:: vol
 
       !Firstly, checks if the object 'interactions' exists
       CALL config%info('interactions', found)
@@ -739,8 +739,8 @@ MODULE moduleInput
           END DO
 
           !Init the required arrays in each volume to account for MCC.
-          DO e = 1, meshForMCC%numVols
-            vol => meshForMCC%vols(e)%obj
+          DO e = 1, meshForMCC%numCells
+            vol => meshForMCC%cells(e)%obj
 
             !Allocate Maximum cross section per collision pair and assign the initial collision rate
             ALLOCATE(vol%sigmaVrelMax(1:nCollPairs))
@@ -930,8 +930,8 @@ MODULE moduleInput
         CALL config%get(object // '.volume', volume, found)
         !Rescale the volumne
         IF (found) THEN
-          mesh%vols(1)%obj%volume = mesh%vols(1)%obj%volume*volume / Vol_ref
-          mesh%nodes(1)%obj%v     = mesh%vols(1)%obj%volume
+          mesh%cells(1)%obj%volume = mesh%cells(1)%obj%volume*volume / Vol_ref
+          mesh%nodes(1)%obj%v     = mesh%cells(1)%obj%volume
 
         END IF
 
diff --git a/src/modules/mesh/0D/moduleMesh0D.f90 b/src/modules/mesh/0D/moduleMesh0D.f90
index 0a14520..a57f244 100644
--- a/src/modules/mesh/0D/moduleMesh0D.f90
+++ b/src/modules/mesh/0D/moduleMesh0D.f90
@@ -11,22 +11,25 @@ MODULE moduleMesh0D
 
   END TYPE meshNode0D
 
-  TYPE, PUBLIC, EXTENDS(meshVol):: meshVol0D
+  TYPE, PUBLIC, EXTENDS(meshCell):: meshCell0D
     CLASS(meshNode), POINTER:: n1
     CONTAINS
-      PROCEDURE, PASS:: init => initVol0D
+      PROCEDURE, PASS:: init => initCell0D
       PROCEDURE, PASS:: getNodes    => getNodes0D
       PROCEDURE, PASS:: randPos     => randPos0D
-      PROCEDURE, NOPASS:: fPsi      => fPsi0D
-      PROCEDURE, PASS:: gatherEF    => gatherEF0D
-      PROCEDURE, PASS:: gatherMF    => gatherMF0D
+      PROCEDURE, PASS:: fPsi      => fPsi0D
+      PROCEDURE, PASS:: dPsi      => dPsi0D
+      PROCEDURE, PASS:: detJac    => detJ0D
+      PROCEDURE, PASS:: invJac    => invJ0D
       PROCEDURE, PASS:: elemK       => elemK0D
       PROCEDURE, PASS:: elemF       => elemF0D
+      PROCEDURE, PASS:: gatherElectricField => gatherEF0D
+      PROCEDURE, PASS:: gatherMagneticField => gatherMF0D
       PROCEDURE, PASS:: phy2log     => phy2log0D
       PROCEDURE, NOPASS:: inside    => inside0D
       PROCEDURE, PASS:: nextElement => nextElement0D
 
-  END TYPE meshVol0D
+  END TYPE meshCell0D
 
   CONTAINS
     !NODE FUNCTIONS
@@ -61,18 +64,20 @@ MODULE moduleMesh0D
 
     !VOLUME FUNCTIONS
     !Inits dummy 0D volume
-    SUBROUTINE initVol0D(self, n, p, nodes)
+    SUBROUTINE initCell0D(self, n, p, nodes)
       USE moduleRefParam
       USE moduleSpecies
       IMPLICIT NONE
 
-      CLASS(meshVol0D), INTENT(out):: self
+      CLASS(meshCell0D), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
       TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
 
       self%n = n
 
+      self%nNodes = SIZE(p)
+
       self%n1 => nodes(p(1))%obj
       self%volume = 1.D0
       self%n1%v = 1.D0
@@ -82,15 +87,13 @@ MODULE moduleMesh0D
       ALLOCATE(self%listPart_in(1:nSpecies))
       ALLOCATE(self%totalWeight(1:nSpecies))
 
-    END SUBROUTINE initVol0D
+    END SUBROUTINE initCell0D
 
     PURE FUNCTION getNodes0D(self) RESULT(n)
       IMPLICIT NONE
 
-      CLASS(meshVol0D), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
-
-      ALLOCATE(n(1:1))
+      CLASS(meshCell0D), INTENT(in):: self
+      INTEGER:: n(1:self%nNodes)
 
       n = self%n1%n
 
@@ -99,50 +102,65 @@ MODULE moduleMesh0D
     FUNCTION randPos0D(self) RESULT(r)
       IMPLICIT NONE
 
-      CLASS(meshVol0D), INTENT(in):: self
+      CLASS(meshCell0D), INTENT(in):: self
       REAL(8):: r(1:3)
 
       r = 0.D0
 
     END FUNCTION randPos0D
 
-    PURE SUBROUTINE fPsi0D(xi, fPsi)
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), INTENT(out):: fPsi(:)
+    PURE FUNCTION fPsi0D(self, Xi) RESULT(fPsi)
+      IMPLICIT NONE
+
+      CLASS(meshCell0D), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: fPsi(1:self%nNodes)
 
       fPsi = 1.D0
 
-    END SUBROUTINE fPsi0D
+    END FUNCTION fPsi0D
 
-    PURE FUNCTION gatherEF0D(self, xi) RESULT(EF)
+    PURE FUNCTION dPsi0D(self, Xi) RESULT(dPsi)
       IMPLICIT NONE
 
-      CLASS(meshVol0D), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: EF(1:3)
+      CLASS(meshCell0D), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: dPsi(1:3,1:self%nNodes)
 
-      EF = 0.D0
+      dPsi = 0.D0
 
-    END FUNCTION gatherEF0D
+    END FUNCTION dPsi0D
 
-    PURE FUNCTION gatherMF0D(self, xi) RESULT(MF)
+    PURE FUNCTION detJ0D(self, Xi, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
-      CLASS(meshVol0D), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: MF(1:3)
+      CLASS(meshCell0D), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      REAL(8):: dJ
 
-      MF = 0.D0
+      dJ = 0.D0
 
-    END FUNCTION gatherMF0D
+    END FUNCTION detJ0D
+
+    PURE FUNCTION invJ0D(self, Xi, dPsi_in) RESULT(invJ)
+      IMPLICIT NONE
+
+      CLASS(meshCell0D), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      REAL(8):: invJ(1:3,1:3)
+
+      invJ = 0.D0
+
+    END FUNCTION invJ0D
 
     PURE FUNCTION elemK0D(self) RESULT(localK)
       IMPLICIT NONE
 
-      CLASS(meshVol0D), INTENT(in):: self
-      REAL(8), ALLOCATABLE:: localK(:,:)
+      CLASS(meshCell0D), INTENT(in):: self
+      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
 
-      ALLOCATE(localK(1:1, 1:1))
       localK = 0.D0
 
     END FUNCTION elemK0D
@@ -150,19 +168,48 @@ MODULE moduleMesh0D
     PURE FUNCTION elemF0D(self, source) RESULT(localF)
       IMPLICIT NONE
 
-      CLASS(meshVol0D), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:)
-      REAL(8), ALLOCATABLE:: localF(:)
+      CLASS(meshCell0D), INTENT(in):: self
+      REAL(8), INTENT(in):: source(1:self%nNodes)
+      REAL(8):: localF(1:self%nNodes)
 
-      ALLOCATE(localF(1:1))
       localF = 0.D0
 
     END FUNCTION elemF0D
 
+    PURE FUNCTION gatherEF0D(self, Xi) RESULT(array)
+      IMPLICIT NONE
+      CLASS(meshCell0D), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+      REAL(8):: phi(1:1)
+
+      phi = (/ self%n1%emData%phi /)
+
+      array = -self%gatherDF(Xi, phi)
+
+    END FUNCTION gatherEF0D
+
+    PURE FUNCTION gatherMF0D(self, Xi) RESULT(array)
+      IMPLICIT NONE
+      CLASS(meshCell0D), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+      REAL(8):: B(1:1,1:3)
+
+      B(:,1) = (/ self%n1%emData%B(1) /)
+
+      B(:,2) = (/ self%n1%emData%B(2) /)
+
+      B(:,3) = (/ self%n1%emData%B(3) /)
+
+      array = self%gatherF(Xi, 3, B)
+
+    END FUNCTION gatherMF0D
+
     PURE FUNCTION phy2log0D(self,r) RESULT(xN) 
       IMPLICIT NONE
 
-      CLASS(meshVol0D), INTENT(in):: self
+      CLASS(meshCell0D), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: xN(1:3)
 
@@ -170,21 +217,21 @@ MODULE moduleMesh0D
 
     END FUNCTION phy2log0D
 
-    PURE FUNCTION inside0D(xi) RESULT(ins)
+    PURE FUNCTION inside0D(Xi) RESULT(ins)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       LOGICAL:: ins
 
       ins = .TRUE.
 
     END FUNCTION inside0D
 
-    SUBROUTINE nextElement0D(self, xi, nextElement)
+    SUBROUTINE nextElement0D(self, Xi, nextElement)
       IMPLICIT NONE
 
-      CLASS(meshVol0D), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      CLASS(meshCell0D), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
       CLASS(meshElement), POINTER, INTENT(out):: nextElement
 
       nextElement => NULL()
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 3380cf0..0f46ba5 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -8,7 +8,7 @@ MODULE moduleMesh1DCart
   IMPLICIT NONE
 
   REAL(8), PARAMETER:: corSeg(1:3) = (/ -DSQRT(3.D0/5.D0), 0.D0,       DSQRT(3.D0/5.D0) /)
-  REAL(8), PARAMETER:: wSeg(1:3)  = (/        5.D0/9.D0 , 8.D0/9.D0,        5.D0/9.D0  /)
+  REAL(8), PARAMETER:: wSeg(1:3)   = (/        5.D0/9.D0 , 8.D0/9.D0,        5.D0/9.D0  /)
 
   TYPE, PUBLIC, EXTENDS(meshNode):: meshNode1DCart
     !Element coordinates
@@ -32,33 +32,26 @@ MODULE moduleMesh1DCart
 
   END TYPE meshEdge1DCart
 
-  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol1DCart
+  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshCell):: meshCell1DCart
     CONTAINS
       PROCEDURE, PASS:: detJac => detJ1DCart
       PROCEDURE, PASS:: invJac => invJ1DCart
-      PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
       PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
   
-  END TYPE meshVol1DCart
+  END TYPE meshCell1DCart
 
   ABSTRACT INTERFACE
-    PURE FUNCTION dPsi_interface(xi) RESULT(dPsi)
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
-
-    END FUNCTION dPsi_interface
-
     PURE SUBROUTINE partialDer_interface(self, dPsi, dx)
-      IMPORT meshVol1DCart
-      CLASS(meshVol1DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:,1:)
+      IMPORT meshCell1DCart
+      CLASS(meshCell1DCart), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1):: dx
 
     END SUBROUTINE partialDer_interface
 
   END INTERFACE
 
-  TYPE, PUBLIC, EXTENDS(meshVol1DCart):: meshVol1DCartSegm
+  TYPE, PUBLIC, EXTENDS(meshCell1DCart):: meshCell1DCartSegm
     !Element coordinates
     REAL(8):: x(1:2)
     !Connectivity to nodes
@@ -67,22 +60,22 @@ MODULE moduleMesh1DCart
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL()
     REAL(8):: arNodes(1:2)
     CONTAINS
-      PROCEDURE, PASS::   init        => initVol1DCartSegm
-      PROCEDURE, PASS::   randPos     => randPos1DCartSeg
+      PROCEDURE, PASS::   init        => initCell1DCartSegm
+      PROCEDURE, PASS::   randPos     => randPos1DCartSegm
       PROCEDURE, PASS::   area        => areaSegm
-      PROCEDURE, NOPASS:: fPsi        => fPsiSegm
-      PROCEDURE, NOPASS:: dPsi        => dPsiSegm
+      PROCEDURE, PASS:: fPsi        => fPsiSegm
+      PROCEDURE, PASS:: dPsi        => dPsiSegm
       PROCEDURE, PASS::   partialDer  => partialDerSegm
       PROCEDURE, PASS::   elemK       => elemKSegm
       PROCEDURE, PASS::   elemF       => elemFSegm
+      PROCEDURE, PASS:: gatherElectricField => gatherEFSegm
+      PROCEDURE, PASS:: gatherMagneticField => gatherMFSegm
       PROCEDURE, NOPASS:: inside      => insideSegm
-      PROCEDURE, PASS::   gatherEF    => gatherEFSegm
-      PROCEDURE, PASS::   gatherMF    => gatherMFSegm
       PROCEDURE, PASS::   getNodes    => getNodesSegm
       PROCEDURE, PASS::   phy2log     => phy2logSegm
       PROCEDURE, PASS::   nextElement => nextElementSegm
 
-  END TYPE meshVol1DCartSegm
+  END TYPE meshCell1DCartSegm
 
   CONTAINS
     !NODE FUNCTIONS
@@ -193,17 +186,18 @@ MODULE moduleMesh1DCart
     !VOLUME FUNCTIONS
     !SEGMENT FUNCTIONS
     !Init segment element
-    SUBROUTINE initVol1DCartSegm(self, n, p, nodes)
+    SUBROUTINE initCell1DCartSegm(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
-      CLASS(meshVol1DCartSegm), INTENT(out):: self
+      CLASS(meshCell1DCartSegm), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
       TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2
 
       self%n = n
+      self%nNodes = SIZE(p)
       self%n1 => nodes(p(1))%obj
       self%n2 => nodes(p(2))%obj
       !Get element coordinates
@@ -221,14 +215,14 @@ MODULE moduleMesh1DCart
       ALLOCATE(self%listPart_in(1:nSpecies))
       ALLOCATE(self%totalWeight(1:nSpecies))
 
-    END SUBROUTINE initVol1DCartSegm
+    END SUBROUTINE initCell1DCartSegm
 
     !Calculates a random position in 1D volume
-    FUNCTION randPos1DCartSeg(self) RESULT(r)
+    FUNCTION randPos1DCartSegm(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
 
-      CLASS(meshVol1DCartSegm), INTENT(in):: self
+      CLASS(meshCell1DCartSegm), INTENT(in):: self
       REAL(8):: r(1:3)
       REAL(8):: Xi(1:3)
       REAL(8), ALLOCATABLE:: fPsi(:)
@@ -236,16 +230,16 @@ MODULE moduleMesh1DCart
       Xi(1)   = random(-1.D0, 1.D0)
       Xi(2:3) = 0.D0
 
-      CALL self%fPsi(Xi, fPsi)
+      fPsi = self%fPsi(Xi)
       r(1) = DOT_PRODUCT(fPsi, self%x)
 
-    END FUNCTION randPos1DCartSeg
+    END FUNCTION randPos1DCartSegm
 
     !Computes element area
     PURE SUBROUTINE areaSegm(self)
       IMPLICIT NONE
 
-      CLASS(meshVol1DCartSegm), INTENT(inout):: self
+      CLASS(meshCell1DCartSegm), INTENT(inout):: self
       REAL(8):: l !element length
       REAL(8):: fPsi(1:2)
       REAL(8):: detJ
@@ -255,7 +249,7 @@ MODULE moduleMesh1DCart
       self%arNodes = 0.D0
       !1 point Gauss integral
       Xi = 0.D0
-      CALL self%fPsi(Xi, fPsi)
+      fPsi = self%fPsi(Xi)
       detJ = self%detJac(Xi)
       l = 2.D0*detJ
       self%volume  =      l
@@ -264,26 +258,29 @@ MODULE moduleMesh1DCart
     END SUBROUTINE areaSegm
 
     !Computes element functions at point Xi
-    PURE SUBROUTINE fPsiSegm(xi, fPsi)
+    PURE FUNCTION fPsiSegm(self, xi) RESULT(fPsi)
       IMPLICIT NONE
 
+      CLASS(meshCell1DCartSegm), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), INTENT(out):: fPsi(:)
+      REAL(8):: fPsi(1:self%nNodes)
 
       fPsi(1) = 1.D0 - xi(1)
       fPsi(2) = 1.D0 + xi(1)
+
       fPsi    = fPsi * 5.D-1
 
-    END SUBROUTINE fPsiSegm
+    END FUNCTION fPsiSegm
 
     !Computes element derivative shape function at Xi
-    PURE FUNCTION dPsiSegm(xi) RESULT(dPsi)
+    PURE FUNCTION dPsiSegm(self, xi) RESULT(dPsi)
       IMPLICIT NONE
 
+      CLASS(meshCell1DCartSegm), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8):: dPsi(1:3,1:self%nNodes)
 
-      ALLOCATE(dPsi(1:1, 1:2))
+      dPsi = 0.D0
 
       dPsi(1, 1) = -5.D-1
       dPsi(1, 2) =  5.D-1
@@ -294,8 +291,8 @@ MODULE moduleMesh1DCart
     PURE SUBROUTINE partialDerSegm(self, dPsi, dx)
       IMPLICIT NONE
 
-      CLASS(meshVol1DCartSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:,1:)
+      CLASS(meshCell1DCartSegm), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1):: dx
 
       dx(1) = DOT_PRODUCT(dPsi(1,:), self%x)
@@ -306,14 +303,13 @@ MODULE moduleMesh1DCart
     PURE FUNCTION elemKSegm(self) RESULT(localK)
       IMPLICIT NONE
 
-      CLASS(meshVol1DCartSegm), INTENT(in):: self
-      REAL(8), ALLOCATABLE:: localK(:,:)
+      CLASS(meshCell1DCartSegm), INTENT(in):: self
+      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
       REAL(8):: Xi(1:3)
-      REAL(8):: dPsi(1:1, 1:2)
-      REAL(8):: invJ(1), detJ
+      REAL(8):: dPsi(1:3, 1:2)
+      REAL(8):: invJ(1:3,1:3), detJ
       INTEGER:: l
 
-      ALLOCATE(localK(1:2,1:2))
       localK      = 0.D0
       Xi     = 0.D0
       DO l = 1, 3
@@ -332,22 +328,21 @@ MODULE moduleMesh1DCart
     PURE FUNCTION elemFSegm(self, source) RESULT(localF)
       IMPLICIT NONE
 
-      CLASS(meshVol1DCartSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:)
-      REAL(8), ALLOCATABLE:: localF(:)
+      CLASS(meshCell1DCartSegm), INTENT(in):: self
+      REAL(8), INTENT(in):: source(1:self%nNodes)
+      REAL(8):: localF(1:self%nNodes)
       REAL(8):: fPsi(1:2)
       REAL(8):: detJ, f
       REAL(8):: Xi(1:3)
       INTEGER:: l
 
-      ALLOCATE(localF(1:2))
       localF = 0.D0
       Xi    = 0.D0
 
       DO l = 1, 3
         Xi(1) = corSeg(l)
         detJ   = self%detJac(Xi)
-        CALL self%fPsi(Xi, fPsi)
+        fPsi = self%fPsi(Xi)
         f      = DOT_PRODUCT(fPsi, source)
         localF = localF + f*fPsi*wSeg(l)*detJ
 
@@ -355,6 +350,40 @@ MODULE moduleMesh1DCart
 
     END FUNCTION elemFSegm
 
+    PURE FUNCTION gatherEFSegm(self, Xi) RESULT(array)
+      IMPLICIT NONE
+      CLASS(meshCell1DCartSegm), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+      REAL(8):: phi(1:2)
+
+      phi = (/ self%n1%emData%phi, &
+               self%n2%emData%phi /)
+
+      array = -self%gatherDF(Xi, phi)
+
+    END FUNCTION gatherEFSegm
+
+    PURE FUNCTION gatherMFSegm(self, Xi) RESULT(array)
+      IMPLICIT NONE
+      CLASS(meshCell1DCartSegm), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+      REAL(8):: B(1:2,1:3)
+
+      B(:,1) = (/ self%n1%emData%B(1), &
+                  self%n2%emData%B(1) /)
+
+      B(:,2) = (/ self%n1%emData%B(2), &
+                  self%n2%emData%B(2) /)
+
+      B(:,3) = (/ self%n1%emData%B(3), &
+                  self%n2%emData%B(3) /)
+
+      array = self%gatherF(Xi, 3, B)
+
+    END FUNCTION gatherMFSegm
+
     PURE FUNCTION insideSegm(xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -366,58 +395,13 @@ MODULE moduleMesh1DCart
 
     END FUNCTION insideSegm
 
-    !Gathers EF at position Xi
-    PURE FUNCTION gatherEFSegm(self, xi) RESULT(EF)
-      IMPLICIT NONE
-
-      CLASS(meshVol1DCartSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: dPsi(1, 1:2)
-      REAL(8):: phi(1:2)
-      REAL(8):: EF(1:3)
-      REAL(8):: invJ
-
-      phi = (/ self%n1%emData%phi, &
-               self%n2%emData%phi /)
-
-      dPsi  =  self%dPsi(xi)
-      invJ  =  self%invJac(xi, dPsi)
-      EF(1) = -DOT_PRODUCT(dPsi(1, :), phi)*invJ
-      EF(2) =  0.D0
-      EF(3) =  0.D0
-
-    END FUNCTION gatherEFSegm
-
-    PURE FUNCTION gatherMFSegm(self, xi) RESULT(MF)
-      IMPLICIT NONE
-
-      CLASS(meshVol1DCartSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: fPsi(1:2)
-      REAL(8):: MF_Nodes(1:2, 1:3)
-      REAL(8):: MF(1:3)
-      REAL(8):: invJ
-
-      MF_Nodes(1:2,1) = (/ self%n1%emData%B(1), &
-                           self%n2%emData%B(1) /)
-      MF_Nodes(1:2,2) = (/ self%n1%emData%B(2), &
-                           self%n2%emData%B(2) /)
-      MF_Nodes(1:2,3) = (/ self%n1%emData%B(3), &
-                           self%n2%emData%B(3) /)
-
-      CALL self%fPsi(xi, fPsi)
-      MF = MATMUL(fPsi, MF_Nodes)
-
-    END FUNCTION gatherMFSegm
-
     !Get nodes from 1D volume
     PURE FUNCTION getNodesSegm(self) RESULT(n)
       IMPLICIT NONE
 
-      CLASS(meshVol1DCartSegm), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
+      CLASS(meshCell1DCartSegm), INTENT(in):: self
+      INTEGER:: n(1:self%nNodes)
 
-      ALLOCATE(n(1:2))
       n = (/ self%n1%n, self%n2%n /)
 
     END FUNCTION getNodesSegm
@@ -425,7 +409,7 @@ MODULE moduleMesh1DCart
     PURE FUNCTION phy2logSegm(self, r) RESULT(xN)
       IMPLICIT NONE
 
-      CLASS(meshVol1DCartSegm), INTENT(in):: self
+      CLASS(meshCell1DCartSegm), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: xN(1:3)
 
@@ -438,7 +422,7 @@ MODULE moduleMesh1DCart
     SUBROUTINE nextElementSegm(self, xi, nextElement)
       IMPLICIT NONE
 
-      CLASS(meshVol1DCartSegm), INTENT(in):: self
+      CLASS(meshCell1DCartSegm), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
       CLASS(meshElement), POINTER, INTENT(out):: nextElement
       
@@ -459,10 +443,10 @@ MODULE moduleMesh1DCart
     PURE FUNCTION detJ1DCart(self, xi, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
-      CLASS(meshVol1DCart), INTENT(in):: self
+      CLASS(meshCell1DCart), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      REAL(8):: dPsi(1:3,1:self%nNodes)
       REAL(8):: dJ
       REAL(8):: dx(1)
 
@@ -483,12 +467,12 @@ MODULE moduleMesh1DCart
     PURE FUNCTION invJ1DCart(self, xi, dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
-      CLASS(meshVol1DCart), INTENT(in):: self
+      CLASS(meshCell1DCart), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      REAL(8):: invJ(1:3,1:3)
+      REAL(8):: dPsi(1:3,1:self%nNodes)
       REAL(8):: dx(1)
-      REAL(8):: invJ
 
       IF (PRESENT(dPsi_in)) THEN
         dPsi = dPsi_in
@@ -498,8 +482,11 @@ MODULE moduleMesh1DCart
 
       END IF
 
+      invJ = 0.D0
+
       CALL self%partialDer(dPsi, dx)
-      invJ = 1.D0/dx(1)
+
+      invJ(1,1) = 1.D0/dx(1)
 
     END FUNCTION invJ1DCart
 
@@ -509,11 +496,11 @@ MODULE moduleMesh1DCart
       CLASS(meshGeneric), INTENT(inout):: self
       INTEGER:: e, et
 
-      DO e = 1, self%numVols
+      DO e = 1, self%numCells
         !Connect Vol-Vol
-        DO et = 1, self%numVols
+        DO et = 1, self%numCells
           IF (e /= et) THEN
-            CALL connectVolVol(self%vols(e)%obj, self%vols(et)%obj)
+            CALL connectVolVol(self%cells(e)%obj, self%cells(et)%obj)
 
           END IF
 
@@ -523,7 +510,7 @@ MODULE moduleMesh1DCart
         TYPE IS(meshParticles)
           !Connect Vol-Edge
           DO et = 1, self%numEdges
-            CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+            CALL connectVolEdge(self%cells(e)%obj, self%edges(et)%obj)
 
           END DO
 
@@ -536,13 +523,13 @@ MODULE moduleMesh1DCart
     SUBROUTINE connectVolVol(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol), INTENT(inout):: elemA
-      CLASS(meshVol), INTENT(inout):: elemB
+      CLASS(meshCell), INTENT(inout):: elemA
+      CLASS(meshCell), INTENT(inout):: elemB
 
         SELECT TYPE(elemA)
-        TYPE IS(meshVol1DCartSegm)
+        TYPE IS(meshCell1DCartSegm)
           SELECT TYPE(elemB)
-          TYPE IS(meshVol1DCartSegm)
+          TYPE IS(meshCell1DCartSegm)
             CALL connectSegmSegm(elemA, elemB)
 
           END SELECT
@@ -554,8 +541,8 @@ MODULE moduleMesh1DCart
     SUBROUTINE connectSegmSegm(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol1DCartSegm), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol1DCartSegm), INTENT(inout), TARGET:: elemB
+      CLASS(meshCell1DCartSegm), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell1DCartSegm), INTENT(inout), TARGET:: elemB
 
       IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
           elemA%n2%n == elemB%n1%n) THEN
@@ -577,11 +564,11 @@ MODULE moduleMesh1DCart
     SUBROUTINE connectVolEdge(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol),  INTENT(inout):: elemA
+      CLASS(meshCell),  INTENT(inout):: elemA
       CLASS(meshEdge), INTENT(inout):: elemB
 
       SELECT TYPE(elemA)
-      TYPE IS (meshVol1DCartSegm)
+      TYPE IS (meshCell1DCartSegm)
         SELECT TYPE(elemB)
         CLASS IS(meshEdge1DCart)
           CALL connectSegmEdge(elemA, elemB)
@@ -595,7 +582,7 @@ MODULE moduleMesh1DCart
     SUBROUTINE connectSegmEdge(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol1DCartSegm), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell1DCartSegm), INTENT(inout), TARGET:: elemA
       CLASS(meshEdge1DCart),    INTENT(inout), TARGET:: elemB
 
       IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 7b09e5b..8ebac17 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -32,34 +32,27 @@ MODULE moduleMesh1DRad
 
   END TYPE meshEdge1DRad
 
-  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol1DRad
+  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshCell):: meshCell1DRad
     CONTAINS
       PROCEDURE, PASS:: detJac => detJ1DRad
       PROCEDURE, PASS:: invJac => invJ1DRad
-      PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
       PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
   
-  END TYPE meshVol1DRad
+  END TYPE meshCell1DRad
 
   ABSTRACT INTERFACE
-    PURE FUNCTION dPsi_interface(xi) RESULT(dPsi)
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
-
-    END FUNCTION dPsi_interface
-
     PURE SUBROUTINE partialDer_interface(self, dPsi, dx)
-      IMPORT meshVol1DRad
+      IMPORT meshCell1DRad
 
-      CLASS(meshVol1DRad), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:,1:)
+      CLASS(meshCell1DRad), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1):: dx
 
     END SUBROUTINE partialDer_interface
 
   END INTERFACE
 
-  TYPE, PUBLIC, EXTENDS(meshVol1DRad):: meshVol1DRadSegm
+  TYPE, PUBLIC, EXTENDS(meshCell1DRad):: meshCell1DRadSegm
     !Element coordinates
     REAL(8):: r(1:2)
     !Connectivity to nodes
@@ -68,22 +61,22 @@ MODULE moduleMesh1DRad
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL()
     REAL(8):: arNodes(1:2)
     CONTAINS
-      PROCEDURE, PASS::   init        => initVol1DRadSegm
+      PROCEDURE, PASS::   init        => initCell1DRadSegm
       PROCEDURE, PASS::   randPos     => randPos1DRadSeg
       PROCEDURE, PASS::   area        => areaRad
-      PROCEDURE, NOPASS:: fPsi        => fPsiRad
-      PROCEDURE, NOPASS:: dPsi        => dPsiRad
+      PROCEDURE, PASS:: fPsi        => fPsiRad
+      PROCEDURE, PASS:: dPsi        => dPsiRad
       PROCEDURE, PASS::   partialDer  => partialDerRad
       PROCEDURE, PASS::   elemK       => elemKRad
       PROCEDURE, PASS::   elemF       => elemFRad
+      PROCEDURE, PASS:: gatherElectricField => gatherEFRad
+      PROCEDURE, PASS:: gatherMagneticField => gatherMFRad
       PROCEDURE, NOPASS:: inside      => insideRad
-      PROCEDURE, PASS::   gatherEF    => gatherEFRad
-      PROCEDURE, PASS::   gatherMF    => gatherMFRad
       PROCEDURE, PASS::   getNodes    => getNodesRad
       PROCEDURE, PASS::   phy2log     => phy2logRad
       PROCEDURE, PASS::   nextElement => nextElementRad
 
-  END TYPE meshVol1DRadSegm
+  END TYPE meshCell1DRadSegm
 
   CONTAINS
     !NODE FUNCTIONS
@@ -195,17 +188,18 @@ MODULE moduleMesh1DRad
     !VOLUME FUNCTIONS
     !SEGMENT FUNCTIONS
     !Init segment element
-    SUBROUTINE initVol1DRadSegm(self, n, p, nodes)
+    SUBROUTINE initCell1DRadSegm(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
-      CLASS(meshVol1DRadSegm), INTENT(out):: self
+      CLASS(meshCell1DRadSegm), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
       TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2
 
       self%n = n
+      self%nNodes = SIZE(p)
       self%n1 => nodes(p(1))%obj
       self%n2 => nodes(p(2))%obj
       !Get element coordinates
@@ -223,22 +217,22 @@ MODULE moduleMesh1DRad
       ALLOCATE(self%listPart_in(1:nSpecies))
       ALLOCATE(self%totalWeight(1:nSpecies))
 
-    END SUBROUTINE initVol1DRadSegm
+    END SUBROUTINE initCell1DRadSegm
 
     !Calculates a random position in 1D volume
     FUNCTION randPos1DRadSeg(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
 
-      CLASS(meshVol1DRadSegm), INTENT(in):: self
+      CLASS(meshCell1DRadSegm), INTENT(in):: self
       REAL(8):: r(1:3)
       REAL(8):: Xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
+      REAL(8):: fPsi(1:2)
 
       Xi(1)   = random(-1.D0, 1.D0)
       Xi(2:3) = 0.D0
 
-      CALL self%fPsi(Xi, fPsi)
+      fPsi = self%fPsi(Xi)
       r(1) = DOT_PRODUCT(fPsi, self%r)
 
     END FUNCTION randPos1DRadSeg
@@ -247,7 +241,7 @@ MODULE moduleMesh1DRad
     PURE SUBROUTINE areaRad(self)
       IMPLICIT NONE
 
-      CLASS(meshVol1DRadSegm), INTENT(inout):: self
+      CLASS(meshCell1DRadSegm), INTENT(inout):: self
       REAL(8):: l !element length
       REAL(8):: fPsi(1:2), fPsi_node(1:2)
       REAL(8):: r
@@ -258,7 +252,7 @@ MODULE moduleMesh1DRad
       self%arNodes = 0.D0
       !1 point Gauss integral
       Xi = 0.D0
-      CALL self%fPsi(Xi, fPsi)
+      fPsi = self%fPsi(Xi)
       detJ = self%detJac(Xi)
       !Computes total volume of the cell
       r    = DOT_PRODUCT(fPsi, self%r)
@@ -266,37 +260,40 @@ MODULE moduleMesh1DRad
       self%volume  = r*l
       !Computes volume per node
       Xi = (/-5.D-1,  0.D0, 0.D0/)
-      CALL self%fPsi(Xi, fPsi_node)
+      fPsi_node = self%fPsi(Xi)
       r = DOT_PRODUCT(fPsi_node,self%r)
       self%arNodes(1) = fPsi(1)*r*l
       Xi = (/ 5.D-1,  0.D0, 0.D0/)
-      CALL self%fPsi(Xi, fPsi_node)
+      fPsi_node = self%fPsi(Xi)
       r = DOT_PRODUCT(fPsi_node,self%r)
       self%arNodes(2) = fPsi(2)*r*l
 
     END SUBROUTINE areaRad
 
     !Computes element functions at point Xi
-    PURE SUBROUTINE fPsiRad(xi, fPsi)
+    PURE FUNCTION fPsiRad(self, xi) RESULT(fPsi)
       IMPLICIT NONE
 
+      CLASS(meshCell1DRadSegm), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), INTENT(out):: fPsi(:)
+      REAL(8):: fPsi(1:self%nNodes)
 
       fPsi(1) = 1.D0 - xi(1)
       fPsi(2) = 1.D0 + xi(1)
+
       fPsi    = fPsi * 5.D-1
 
-    END SUBROUTINE fPsiRad
+    END FUNCTION fPsiRad
 
     !Computes element derivative shape function at Xi
-    PURE FUNCTION dPsiRad(xi) RESULT(dPsi)
+    PURE FUNCTION dPsiRad(self, xi) RESULT(dPsi)
       IMPLICIT NONE
 
+      CLASS(meshCell1DRadSegm), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8):: dPsi(1:3,1:self%nNodes)
 
-      ALLOCATE(dPsi(1:1, 1:2))
+      dPsi = 0.D0
 
       dPsi(1, 1) = -5.D-1
       dPsi(1, 2) =  5.D-1
@@ -307,8 +304,8 @@ MODULE moduleMesh1DRad
     PURE SUBROUTINE partialDerRad(self, dPsi, dx)
       IMPLICIT NONE
 
-      CLASS(meshVol1DRadSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:,1:)
+      CLASS(meshCell1DRadSegm), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1):: dx
 
       dx(1) = DOT_PRODUCT(dPsi(1,:), self%r)
@@ -320,15 +317,14 @@ MODULE moduleMesh1DRad
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
-      CLASS(meshVol1DRadSegm), INTENT(in):: self
-      REAL(8), ALLOCATABLE:: localK(:,:)
+      CLASS(meshCell1DRadSegm), INTENT(in):: self
+      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
       REAL(8):: Xi(1:3)
-      REAL(8):: dPsi(1:1, 1:2)
-      REAL(8):: invJ(1), detJ
+      REAL(8):: dPsi(1:3, 1:2)
+      REAL(8):: invJ(1:3,1:3), detJ
       REAL(8):: r, fPsi(1:2)
       INTEGER:: l
 
-      ALLOCATE(localK(1:2, 1:2))
       localK  = 0.D0
       Xi     = 0.D0
       DO l = 1, 3
@@ -336,7 +332,7 @@ MODULE moduleMesh1DRad
         dPsi    = self%dPsi(Xi)
         detJ    = self%detJac(Xi, dPsi)
         invJ    = self%invJac(Xi, dPsi)
-        CALL self%fPsi(Xi, fPsi)
+        fPsi    = self%fPsi(Xi)
         r       = DOT_PRODUCT(fPsi, self%r)
         localK  = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
                                   RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
@@ -352,22 +348,21 @@ MODULE moduleMesh1DRad
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
-      CLASS(meshVol1DRadSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:)
-      REAL(8), ALLOCATABLE:: localF(:)
+      CLASS(meshCell1DRadSegm), INTENT(in):: self
+      REAL(8), INTENT(in):: source(1:self%nNodes)
+      REAL(8):: localF(1:self%nNodes)
       REAL(8):: fPsi(1:2)
       REAL(8):: detJ, f, r
       REAL(8):: Xi(1:3)
       INTEGER:: l
 
-      ALLOCATE(localF(1:2))
       localF = 0.D0
       Xi    = 0.D0
 
       DO l = 1, 3
         Xi(1) = corSeg(l)
         detJ   = self%detJac(Xi)
-        CALL self%fPsi(Xi, fPsi)
+        fPsi   = self%fPsi(Xi)
         r      = DOT_PRODUCT(fPsi, self%r)
         f      = DOT_PRODUCT(fPsi, source)
         localF = localF + f*fPsi*r*wSeg(l)*detJ
@@ -376,6 +371,40 @@ MODULE moduleMesh1DRad
 
     END FUNCTION elemFRad
 
+    PURE FUNCTION gatherEFRad(self, Xi) RESULT(array)
+      IMPLICIT NONE
+      CLASS(meshCell1DRadSegm), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+      REAL(8):: phi(1:2)
+
+      phi = (/ self%n1%emData%phi, &
+               self%n2%emData%phi /)
+
+      array = -self%gatherDF(Xi, phi)
+
+    END FUNCTION gatherEFRad
+
+    PURE FUNCTION gatherMFRad(self, Xi) RESULT(array)
+      IMPLICIT NONE
+      CLASS(meshCell1DRadSegm), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+      REAL(8):: B(1:2,1:3)
+
+      B(:,1) = (/ self%n1%emData%B(1), &
+                  self%n2%emData%B(1) /)
+
+      B(:,2) = (/ self%n1%emData%B(2), &
+                  self%n2%emData%B(2) /)
+
+      B(:,3) = (/ self%n1%emData%B(3), &
+                  self%n2%emData%B(3) /)
+
+      array = self%gatherF(Xi, 3, B)
+
+    END FUNCTION gatherMFRad
+
     PURE FUNCTION insideRad(xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -387,58 +416,13 @@ MODULE moduleMesh1DRad
 
     END FUNCTION insideRad
 
-    !Gathers EF at position Xi
-    PURE FUNCTION gatherEFRad(self, xi) RESULT(EF)
-      IMPLICIT NONE
-
-      CLASS(meshVol1DRadSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: dPsi(1, 1:2)
-      REAL(8):: phi(1:2)
-      REAL(8):: EF(1:3)
-      REAL(8):: invJ
-
-      phi = (/ self%n1%emData%phi, &
-               self%n2%emData%phi /)
-
-      dPsi  =  self%dPsi(xi)
-      invJ  =  self%invJac(xi, dPsi)
-      EF(1) = -DOT_PRODUCT(dPsi(1, :), phi)*invJ
-      EF(2) =  0.D0
-      EF(3) =  0.D0
-
-    END FUNCTION gatherEFRad
-
-    PURE FUNCTION gatherMFRad(self, xi) RESULT(MF)
-      IMPLICIT NONE
-
-      CLASS(meshVol1DRadSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: fPsi(1:2)
-      REAL(8):: MF_Nodes(1:2, 1:3)
-      REAL(8):: MF(1:3)
-      REAL(8):: invJ
-
-      MF_Nodes(1:2,1) = (/ self%n1%emData%B(1), &
-                           self%n2%emData%B(1) /)
-      MF_Nodes(1:2,2) = (/ self%n1%emData%B(2), &
-                           self%n2%emData%B(2) /)
-      MF_Nodes(1:2,3) = (/ self%n1%emData%B(3), &
-                           self%n2%emData%B(3) /)
-
-      CALL self%fPsi(xi, fPsi)
-      MF = MATMUL(fPsi, MF_Nodes)
-
-    END FUNCTION gatherMFRad
-
     !Get nodes from 1D volume
     PURE FUNCTION getNodesRad(self) RESULT(n)
       IMPLICIT NONE
 
-      CLASS(meshVol1DRadSegm), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
+      CLASS(meshCell1DRadSegm), INTENT(in):: self
+      INTEGER:: n(1:self%nNodes)
 
-      ALLOCATE(n(1:2))
       n = (/ self%n1%n, self%n2%n /)
 
     END FUNCTION getNodesRad
@@ -446,7 +430,7 @@ MODULE moduleMesh1DRad
     PURE FUNCTION phy2logRad(self, r) RESULT(xN)
       IMPLICIT NONE
 
-      CLASS(meshVol1DRadSegm), INTENT(in):: self
+      CLASS(meshCell1DRadSegm), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: xN(1:3)
 
@@ -459,7 +443,7 @@ MODULE moduleMesh1DRad
     SUBROUTINE nextElementRad(self, xi, nextElement)
       IMPLICIT NONE
 
-      CLASS(meshVol1DRadSegm), INTENT(in):: self
+      CLASS(meshCell1DRadSegm), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
       CLASS(meshElement), POINTER, INTENT(out):: nextElement
       
@@ -479,10 +463,10 @@ MODULE moduleMesh1DRad
     PURE FUNCTION detJ1DRad(self, xi, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
-      CLASS(meshVol1DRad), INTENT(in):: self
+      CLASS(meshCell1DRad), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      REAL(8):: dPsi(1:3,1:self%nNodes)
       REAL(8):: dJ
       REAL(8):: dx(1)
 
@@ -503,12 +487,12 @@ MODULE moduleMesh1DRad
     PURE FUNCTION invJ1DRad(self, xi, dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
-      CLASS(meshVol1DRad), INTENT(in):: self
+      CLASS(meshCell1DRad), INTENT(in):: self
       REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      REAL(8):: dPsi(1:3,1:self%nNodes)
       REAL(8):: dx(1)
-      REAL(8):: invJ
+      REAL(8):: invJ(1:3,1:3)
 
       IF (PRESENT(dPsi_in)) THEN
         dPsi = dPsi_in
@@ -518,8 +502,11 @@ MODULE moduleMesh1DRad
 
       END IF
 
+      invJ = 0.D0
+
       CALL self%partialDer(dPsi, dx)
-      invJ = 1.D0/dx(1)
+
+      invJ(1,1) = 1.D0/dx(1)
 
     END FUNCTION invJ1DRad
 
@@ -529,11 +516,11 @@ MODULE moduleMesh1DRad
       CLASS(meshGeneric), INTENT(inout):: self
       INTEGER:: e, et
 
-      DO e = 1, self%numVols
+      DO e = 1, self%numCells
         !Connect Vol-Vol
-        DO et = 1, self%numVols
+        DO et = 1, self%numCells
           IF (e /= et) THEN
-            CALL connectVolVol(self%vols(e)%obj, self%vols(et)%obj)
+            CALL connectVolVol(self%cells(e)%obj, self%cells(et)%obj)
 
           END IF
 
@@ -543,7 +530,7 @@ MODULE moduleMesh1DRad
         TYPE IS(meshParticles)
           !Connect Vol-Edge
           DO et = 1, self%numEdges
-            CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+            CALL connectVolEdge(self%cells(e)%obj, self%edges(et)%obj)
 
           END DO
 
@@ -556,13 +543,13 @@ MODULE moduleMesh1DRad
     SUBROUTINE connectVolVol(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol), INTENT(inout):: elemA
-      CLASS(meshVol), INTENT(inout):: elemB
+      CLASS(meshCell), INTENT(inout):: elemA
+      CLASS(meshCell), INTENT(inout):: elemB
 
         SELECT TYPE(elemA)
-        TYPE IS(meshVol1DRadSegm)
+        TYPE IS(meshCell1DRadSegm)
           SELECT TYPE(elemB)
-          TYPE IS(meshVol1DRadSegm)
+          TYPE IS(meshCell1DRadSegm)
             CALL connectSegmSegm(elemA, elemB)
 
           END SELECT
@@ -574,8 +561,8 @@ MODULE moduleMesh1DRad
     SUBROUTINE connectSegmSegm(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol1DRadSegm), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol1DRadSegm), INTENT(inout), TARGET:: elemB
+      CLASS(meshCell1DRadSegm), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell1DRadSegm), INTENT(inout), TARGET:: elemB
 
       IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
           elemA%n2%n == elemB%n1%n) THEN
@@ -597,11 +584,11 @@ MODULE moduleMesh1DRad
     SUBROUTINE connectVolEdge(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol),  INTENT(inout):: elemA
+      CLASS(meshCell),  INTENT(inout):: elemA
       CLASS(meshEdge), INTENT(inout):: elemB
 
       SELECT TYPE(elemA)
-      TYPE IS (meshVol1DRadSegm)
+      TYPE IS (meshCell1DRadSegm)
         SELECT TYPE(elemB)
         CLASS IS(meshEdge1DRad)
           CALL connectSegmEdge(elemA, elemB)
@@ -615,7 +602,7 @@ MODULE moduleMesh1DRad
     SUBROUTINE connectSegmEdge(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol1DRadSegm), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell1DRadSegm), INTENT(inout), TARGET:: elemA
       CLASS(meshEdge1DRad),    INTENT(inout), TARGET:: elemB
 
       IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index c57cecc..13c5901 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -37,26 +37,19 @@ MODULE moduleMesh2DCart
 
   END TYPE meshEdge2DCart
 
-  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol2DCart
+  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshCell):: meshCell2DCart
     CONTAINS
       PROCEDURE, PASS:: detJac    => detJ2DCart
       PROCEDURE, PASS:: invJac    => invJ2DCart
-      PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
-      PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
+      PROCEDURE(partialDer_interface), DEFERRED, PASS, PRIVATE:: partialDer
 
-  END TYPE meshVol2DCart
+  END TYPE meshCell2DCart
 
   ABSTRACT INTERFACE
-    PURE FUNCTION dPsi_interface(Xi) RESULT(dPsi)
-      REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
-
-    END FUNCTION dPsi_interface
-
     PURE SUBROUTINE partialDer_interface(self, dPsi, dx, dy)
-      IMPORT meshVol2DCart
-      CLASS(meshVol2DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:,1:)
+      IMPORT meshCell2DCart
+      CLASS(meshCell2DCart), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dx, dy
 
     END SUBROUTINE partialDer_interface
@@ -64,7 +57,7 @@ MODULE moduleMesh2DCart
   END INTERFACE
 
   !Quadrilateral volume element
-  TYPE, PUBLIC, EXTENDS(meshVol2DCart):: meshVol2DCartQuad
+  TYPE, PUBLIC, EXTENDS(meshCell2DCart):: meshCell2DCartQuad
     !Element coordinates
     REAL(8):: x(1:4) = 0.D0, y(1:4) = 0.D0
     !Connectivity to nodes
@@ -73,27 +66,27 @@ MODULE moduleMesh2DCart
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
     REAL(8):: arNodes(1:4) = 0.D0
     CONTAINS
-      PROCEDURE, PASS::   init        => initVolQuad2DCart
-      PROCEDURE, PASS::   randPos     => randPosVolQuad
+      PROCEDURE, PASS::   init        => initCellQuad2DCart
+      PROCEDURE, PASS::   randPos     => randPosCellQuad
       PROCEDURE, PASS::   area        => areaQuad
-      PROCEDURE, NOPASS:: fPsi        => fPsiQuad
-      PROCEDURE, NOPASS:: dPsi        => dPsiQuad
-      PROCEDURE, NOPASS:: dPsiXi1     => dPsiQuadXi1
-      PROCEDURE, NOPASS:: dPsiXi2     => dPsiQuadXi2
-      PROCEDURE, PASS::   partialDer  => partialDerQuad
+      PROCEDURE, PASS:: fPsi        => fPsiQuad
+      PROCEDURE, PASS:: dPsi        => dPsiQuad
+      PROCEDURE, NOPASS, PRIVATE:: dPsiXi1     => dPsiQuadXi1
+      PROCEDURE, NOPASS, PRIVATE:: dPsiXi2     => dPsiQuadXi2
+      PROCEDURE, PASS, PRIVATE::   partialDer  => partialDerQuad
       PROCEDURE, PASS::   elemK       => elemKQuad
       PROCEDURE, PASS::   elemF       => elemFQuad
+      PROCEDURE, PASS:: gatherElectricField => gatherEFQuad
+      PROCEDURE, PASS:: gatherMagneticField => gatherMFQuad
       PROCEDURE, NOPASS:: inside      => insideQuad
-      PROCEDURE, PASS::   gatherEF    => gatherEFQuad
-      PROCEDURE, PASS::   gatherMF    => gatherMFQuad
       PROCEDURE, PASS::   getNodes    => getNodesQuad
       PROCEDURE, PASS::   phy2log     => phy2logQuad
       PROCEDURE, PASS::   nextElement => nextElementQuad
 
-  END TYPE meshVol2DCartQuad
+  END TYPE meshCell2DCartQuad
 
   !Triangular volume element
-  TYPE, PUBLIC, EXTENDS(meshVol2DCart):: meshVol2DCartTria
+  TYPE, PUBLIC, EXTENDS(meshCell2DCart):: meshCell2DCartTria
     !Element coordinates
     REAL(8):: x(1:3) = 0.D0, y(1:3) = 0.D0
     !Connectivity to nodes
@@ -103,24 +96,24 @@ MODULE moduleMesh2DCart
     REAL(8):: arNodes(1:3) = 0.D0
 
     CONTAINS
-      PROCEDURE, PASS::   init        => initVolTria2DCart
-      PROCEDURE, PASS::   randPos     => randPosVolTria
+      PROCEDURE, PASS::   init        => initCellTria2DCart
+      PROCEDURE, PASS::   randPos     => randPosCellTria
       PROCEDURE, PASS::   area        => areaTria
-      PROCEDURE, NOPASS:: fPsi        => fPsiTria
-      PROCEDURE, NOPASS:: dPsi        => dPsiTria
+      PROCEDURE, PASS:: fPsi        => fPsiTria
+      PROCEDURE, PASS:: dPsi        => dPsiTria
       PROCEDURE, NOPASS:: dPsiXi1     => dPsiTriaXi1
       PROCEDURE, NOPASS:: dPsiXi2     => dPsiTriaXi2
       PROCEDURE, PASS::   partialDer  => partialDerTria
       PROCEDURE, PASS::   elemK       => elemKTria
       PROCEDURE, PASS::   elemF       => elemFTria
+      PROCEDURE, PASS:: gatherElectricField => gatherEFTria
+      PROCEDURE, PASS:: gatherMagneticField => gatherMFTria
       PROCEDURE, NOPASS:: inside      => insideTria
-      PROCEDURE, PASS::   gatherEF    => gatherEFTria
-      PROCEDURE, PASS::   gatherMF    => gatherMFTria
       PROCEDURE, PASS::   getNodes    => getNodesTria
       PROCEDURE, PASS::   phy2log     => phy2logTria
       PROCEDURE, PASS::   nextElement => nextElementTria
 
-  END TYPE meshVol2DCartTria
+  END TYPE meshCell2DCartTria
 
   CONTAINS
     !NODE FUNCTIONS
@@ -204,26 +197,26 @@ MODULE moduleMesh2DCart
     END SUBROUTINE initEdge2DCart
 
     !Random position in quadrilateral volume
-    FUNCTION randPosVolQuad(self) RESULT(r)
+    FUNCTION randPosCellQuad(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartQuad), INTENT(in):: self
+      CLASS(meshCell2DCartQuad), INTENT(in):: self
       REAL(8):: r(1:3)
       REAL(8):: Xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
+      REAL(8):: fPsi(1:4)
 
       Xi(1) = random(-1.D0, 1.D0)
       Xi(2) = random(-1.D0, 1.D0)
       Xi(3) = 0.D0
 
-      CALL self%fPsi(Xi, fPsi)
+      fPsi = self%fPsi(Xi)
 
       r(1) = DOT_PRODUCT(fPsi, self%x)
       r(2) = DOT_PRODUCT(fPsi, self%y)
       r(3) = 0.D0
 
-    END FUNCTION randposVolQuad
+    END FUNCTION randposCellQuad
 
     !Get nodes from edge
     PURE FUNCTION getNodes2DCart(self) RESULT(n)
@@ -232,7 +225,6 @@ MODULE moduleMesh2DCart
       CLASS(meshEdge2DCart), INTENT(in):: self
       INTEGER, ALLOCATABLE:: n(:)
 
-      ALLOCATE(n(1:2))
       n = (/self%n1%n, self%n2%n /)
 
     END FUNCTION getNodes2DCart
@@ -277,17 +269,18 @@ MODULE moduleMesh2DCart
     !VOLUME FUNCTIONS
     !QUAD FUNCTIONS
     !Inits quadrilateral element
-    SUBROUTINE initVolQuad2DCart(self, n, p, nodes)
+    SUBROUTINE initCellQuad2DCart(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartQuad), INTENT(out):: self
+      CLASS(meshCell2DCartQuad), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
       TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3, r4
 
       self%n  = n
+      self%nNodes = SIZE(p)
       self%n1 => nodes(p(1))%obj
       self%n2 => nodes(p(2))%obj
       self%n3 => nodes(p(3))%obj
@@ -312,13 +305,13 @@ MODULE moduleMesh2DCart
       ALLOCATE(self%listPart_in(1:nSpecies))
       ALLOCATE(self%totalWeight(1:nSpecies))
 
-    END SUBROUTINE initVolQuad2DCart
+    END SUBROUTINE initCellQuad2DCart
 
     !Computes element area
     PURE SUBROUTINE areaQuad(self)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartQuad), INTENT(inout):: self
+      CLASS(meshCell2DCartQuad), INTENT(inout):: self
       REAL(8):: Xi(1:3)
       REAL(8):: detJ
       REAL(8):: fPsi(1:4)
@@ -328,18 +321,19 @@ MODULE moduleMesh2DCart
       !2D 1 point Gauss Quad Integral
       Xi = 0.D0
       detJ = self%detJac(Xi)*4.D0 !4
-      CALL self%fPsi(Xi, fPsi)
+      fPsi = self%fPsi(Xi)
       self%volume  =      detJ
       self%arNodes = fPsi*detJ
 
     END SUBROUTINE areaQuad
 
     !Computes element functions in point Xi
-    PURE SUBROUTINE fPsiQuad(Xi, fPsi) 
+    PURE FUNCTION fPsiQuad(self, Xi) RESULT(fPsi) 
       IMPLICIT NONE
 
+      CLASS(meshCell2DCartQuad), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(out):: fPsi(:)
+      REAL(8):: fPsi(1:self%nNodes)
 
       fPsi(1) = (1.D0-Xi(1)) * (1.D0-Xi(2))
       fPsi(2) = (1.D0+Xi(1)) * (1.D0-Xi(2))
@@ -348,16 +342,17 @@ MODULE moduleMesh2DCart
 
       fPsi    = fPsi*0.25D0
 
-    END SUBROUTINE fPsiQuad
+    END FUNCTION fPsiQuad
 
     !Derivative element function at coordinates Xi
-    PURE FUNCTION dPsiQuad(Xi) RESULT(dPsi)
+    PURE FUNCTION dPsiQuad(self, Xi) RESULT(dPsi)
       IMPLICIT NONE
 
+      CLASS(meshCell2DCartQuad), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8):: dPsi(1:3,1:self%nNodes)
 
-      ALLOCATE(dPsi(1:2,1:4))
+      dPsi = 0.D0
 
       dPsi(1,:) = dPsiQuadXi1(Xi(2))
       dPsi(2,:) = dPsiQuadXi2(Xi(1))
@@ -397,8 +392,8 @@ MODULE moduleMesh2DCart
     PURE SUBROUTINE partialDerQuad(self, dPsi, dx, dy)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:,1:)
+      CLASS(meshCell2DCartQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dx, dy
 
       dx(1) = DOT_PRODUCT(dPsi(1,:),self%x)
@@ -412,14 +407,13 @@ MODULE moduleMesh2DCart
     PURE FUNCTION elemKQuad(self) RESULT(localK)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartQuad), INTENT(in):: self
-      REAL(8), ALLOCATABLE:: localK(:,:)
+      CLASS(meshCell2DCartQuad), INTENT(in):: self
+      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
       REAL(8):: Xi(1:3)
-      REAL(8):: fPsi(1:4), dPsi(1:2,1:4)
-      REAL(8):: invJ(1:2,1:2), detJ
+      REAL(8):: fPsi(1:4), dPsi(1:3,1:4)
+      REAL(8):: invJ(1:3,1:3), detJ
       INTEGER:: l, m
 
-      ALLOCATE(localK(1:4, 1:4))
       localK=0.D0
       Xi=0.D0
       !Start 2D Gauss Quad Integral
@@ -429,7 +423,7 @@ MODULE moduleMesh2DCart
         DO m = 1, 3
           Xi(1)     = corQuad(m)
           dPsi(2,:) = self%dPsiXi2(Xi(1))
-          CALL self%fPsi(Xi, fPsi)
+          fPsi = self%fPsi(Xi)
           detJ      = self%detJac(Xi,dPsi)
           invJ      = self%invJac(Xi,dPsi)
           localK    = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wQuad(l)*wQuad(m)/detJ
@@ -443,15 +437,14 @@ MODULE moduleMesh2DCart
     PURE FUNCTION elemFQuad(self, source) RESULT(localF)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:)
-      REAL(8), ALLOCATABLE:: localF(:)
+      CLASS(meshCell2DCartQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: source(1:self%nNodes)
+      REAL(8):: localF(1:self%nNodes)
       REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4)
       REAL(8):: detJ, f
       INTEGER:: l, m
 
-      ALLOCATE(localF(1:4))
       localF = 0.D0
       Xi     = 0.D0
       DO l=1, 3
@@ -459,7 +452,7 @@ MODULE moduleMesh2DCart
         DO m = 1, 3
           Xi(2)  = corQuad(m)
           detJ   = self%detJac(Xi)
-          CALL self%fPsi(Xi, fPsi)
+          fPsi = self%fPsi(Xi)
           f      = DOT_PRODUCT(fPsi,source)
           localF = localF + f*fPsi*wQuad(l)*wQuad(m)*detJ
 
@@ -468,6 +461,48 @@ MODULE moduleMesh2DCart
 
     END FUNCTION elemFQuad
 
+    PURE FUNCTION gatherEFQuad(self, Xi) RESULT(array)
+      IMPLICIT NONE
+      CLASS(meshCell2DCartQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+      REAL(8):: phi(1:4)
+
+      phi = (/ self%n1%emData%phi, &
+               self%n2%emData%phi, &
+               self%n3%emData%phi, &
+               self%n4%emData%phi /)
+
+      array = -self%gatherDF(Xi, phi)
+
+    END FUNCTION gatherEFQuad
+
+    PURE FUNCTION gatherMFQuad(self, Xi) RESULT(array)
+      IMPLICIT NONE
+      CLASS(meshCell2DCartQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+      REAL(8):: B(1:4,1:3)
+
+      B(:,1) = (/ self%n1%emData%B(1), &
+                  self%n2%emData%B(1), &
+                  self%n3%emData%B(1), &
+                  self%n4%emData%B(1) /)
+
+      B(:,2) = (/ self%n1%emData%B(2), &
+                  self%n2%emData%B(2), &
+                  self%n3%emData%B(2), &
+                  self%n4%emData%B(2) /)
+
+      B(:,3) = (/ self%n1%emData%B(3), &
+                  self%n2%emData%B(3), &
+                  self%n3%emData%B(3), &
+                  self%n4%emData%B(3) /)
+
+      array = self%gatherF(Xi, 3, B)
+
+    END FUNCTION gatherMFQuad
+
     !Checks if a particle is inside a quad element
     PURE FUNCTION insideQuad(Xi) RESULT(ins)
       IMPLICIT NONE
@@ -480,97 +515,42 @@ MODULE moduleMesh2DCart
 
     END FUNCTION insideQuad
 
-    !Gathers the electric field at position Xi
-    PURE FUNCTION gatherEFQuad(self,Xi) RESULT(EF)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCartQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: dPsi(1:2,1:4)
-      REAL(8):: dPsiR(1:2,1:4)!Derivative of shpae functions in global coordinates
-      REAL(8):: invJ(1:2,1:2), detJ
-      REAL(8):: phi(1:4)
-      REAL(8):: EF(1:3)
-
-      phi = (/self%n1%emData%phi, &
-              self%n2%emData%phi, &
-              self%n3%emData%phi, &
-              self%n4%emData%phi /)
-
-      dPsi  =  self%dPsi(Xi)
-      detJ  =  self%detJac(Xi,dPsi)
-      invJ  =  self%invJac(Xi,dPsi)
-      dPsiR =  MATMUL(invJ, dPsi)/detJ
-      EF(1) = -DOT_PRODUCT(dPsiR(1,:), phi)
-      EF(2) = -DOT_PRODUCT(dPsiR(2,:), phi)
-      EF(3) =  0.D0
-
-    END FUNCTION gatherEFQuad
-
-    PURE FUNCTION gatherMFQuad(self,Xi) RESULT(MF)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCartQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: fPsi(1:4)
-      REAL(8):: MF_Nodes(1:4,1:3)
-      REAL(8):: MF(1:3)
-
-      MF_Nodes(1:4,1) = (/self%n1%emData%B(1), &
-                          self%n2%emData%B(1), &
-                          self%n3%emData%B(1), &
-                          self%n4%emData%B(1) /)
-      MF_Nodes(1:4,2) = (/self%n1%emData%B(2), &
-                          self%n2%emData%B(2), &
-                          self%n3%emData%B(2), &
-                          self%n4%emData%B(2) /)
-      MF_Nodes(1:4,3) = (/self%n1%emData%B(3), &
-                          self%n2%emData%B(3), &
-                          self%n3%emData%B(3), &
-                          self%n4%emData%B(3) /)
-
-      CALL self%fPsi(Xi, fPsi)
-      MF = MATMUL(fPsi(:), MF_Nodes)
-
-    END FUNCTION gatherMFQuad
-
     !Gets nodes from quadrilateral element
     PURE FUNCTION getNodesQuad(self) RESULT(n)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartQuad), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
+      CLASS(meshCell2DCartQuad), INTENT(in):: self
+      INTEGER:: n(1:self%nNodes)
 
-      ALLOCATE(n(1:4))
       n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
 
     END FUNCTION getNodesQuad
 
     !Transforms physical coordinates to element coordinates
-    PURE FUNCTION phy2logQuad(self,r) RESULT(XiN) 
+    PURE FUNCTION phy2logQuad(self,r) RESULT(Xi) 
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartQuad), INTENT(in):: self
+      CLASS(meshCell2DCartQuad), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
-      REAL(8):: XiN(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: XiO(1:3), detJ, invJ(1:2,1:2), f(1:2)
-      REAL(8):: dPsi(1:2,1:4), fPsi(1:4)
+      REAL(8):: dPsi(1:3,1:4), fPsi(1:4)
       REAL(8):: conv
 
       !Iterative newton method to transform coordinates
       conv=1.D0
       XiO=0.D0
 
-      DO WHILE(conv>1.D-4)
+      DO WHILE(conv>1.D-3)
         dPsi = self%dPsi(XiO)
         invJ = self%invJac(XiO, dPsi)
-        CALL self%fPsi(XiO, fPsi)
+        fPsi = self%fPsi(XiO)
         f(1) = DOT_PRODUCT(fPsi,self%x)-r(1)
         f(2) = DOT_PRODUCT(fPsi,self%y)-r(2)
         detJ = self%detJac(XiO,dPsi)
-        XiN(1:2)=XiO(1:2) - MATMUL(invJ, f)/detJ
-        conv=MAXVAL(DABS(XiN-XiO),1)
-        XiO=XiN
+        Xi(1:2)=XiO(1:2) - MATMUL(invJ, f)/detJ
+        conv=MAXVAL(DABS(Xi-XiO),1)
+        XiO=Xi
 
       END DO
 
@@ -580,7 +560,7 @@ MODULE moduleMesh2DCart
     SUBROUTINE nextElementQuad(self, Xi, nextElement)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartQuad), INTENT(in):: self
+      CLASS(meshCell2DCartQuad), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       CLASS(meshElement), POINTER, INTENT(out):: nextElement
       REAL(8):: XiArray(1:4)
@@ -605,11 +585,11 @@ MODULE moduleMesh2DCart
 
     !TRIA ELEMENT
     !Init tria element
-    SUBROUTINE initVolTria2DCart(self, n, p, nodes)
+    SUBROUTINE initCellTria2DCart(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartTria), INTENT(out):: self
+      CLASS(meshCell2DCartTria), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
       TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
@@ -618,6 +598,9 @@ MODULE moduleMesh2DCart
       !Assign node index
       self%n = n
 
+      !Assign number of nodes of cell
+      self%nNodes = SIZE(p)
+
       !Assign nodes to element
       self%n1 => nodes(p(1))%obj
       self%n2 => nodes(p(2))%obj
@@ -639,14 +622,14 @@ MODULE moduleMesh2DCart
       ALLOCATE(self%listPart_in(1:nSpecies))
       ALLOCATE(self%totalWeight(1:nSpecies))
 
-    END SUBROUTINE initVolTria2DCart
+    END SUBROUTINE initCellTria2DCart
 
     !Random position in quadrilateral volume
-    FUNCTION randPosVolTria(self) RESULT(r)
+    FUNCTION randPosCellTria(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartTria), INTENT(in):: self
+      CLASS(meshCell2DCartTria), INTENT(in):: self
       REAL(8):: r(1:3)
       REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:3)
@@ -655,19 +638,19 @@ MODULE moduleMesh2DCart
       Xi(2) = random( 0.D0, 1.D0 - Xi(1))
       Xi(3) = 0.D0
 
-      CALL self%fPsi(Xi, fPsi)
+      fPsi = self%fPsi(Xi)
 
       r(1) = DOT_PRODUCT(fPsi, self%x)
       r(2) = DOT_PRODUCT(fPsi, self%y)
       r(3) = 0.D0
 
-    END FUNCTION randposVolTria
+    END FUNCTION randposCellTria
 
     !Calculates area for triangular element
     PURE SUBROUTINE areaTria(self)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartTria), INTENT(inout):: self
+      CLASS(meshCell2DCartTria), INTENT(inout):: self
       REAL(8):: Xi(1:3)
       REAL(8):: detJ
       REAL(8):: fPsi(1:3)
@@ -677,33 +660,35 @@ MODULE moduleMesh2DCart
       !2D 1 point Gauss Quad Integral
       Xi = (/1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
       detJ  = self%detJac(Xi)/2.D0 
-      CALL self%fPsi(Xi, fPsi)
+      fPsi = self%fPsi(Xi)
       self%volume  =      detJ
       self%arNodes = fPsi*detJ
 
     END SUBROUTINE areaTria
 
     !Shape functions for triangular element
-    PURE SUBROUTINE fPsiTria(Xi, fPsi)
+    PURE FUNCTION fPsiTria(self, Xi) RESULT(fPsi)
       IMPLICIT NONE
 
+      CLASS(meshCell2DCartTria), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(out):: fPsi(:)
+      REAL(8):: fPsi(1:self%nNodes)
 
       fPsi(1) = 1.D0 - Xi(1) - Xi(2)
       fPsi(2) =        Xi(1)
       fPsi(3) =                Xi(2)
 
-    END SUBROUTINE fPsiTria
+    END FUNCTION fPsiTria
 
     !Derivative element function at coordinates Xi
-    PURE FUNCTION dPsiTria(Xi) RESULT(dPsi)
+    PURE FUNCTION dPsiTria(self, Xi) RESULT(dPsi)
       IMPLICIT NONE
 
+      CLASS(meshCell2DCartTria), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8):: dPsi(1:3,1:self%nNodes)
 
-      ALLOCATE(dPsi(1:2,1:3))
+      dPsi = 0.D0
 
       dPsi(1,:) = dPsiTriaXi1(Xi(2))
       dPsi(2,:) = dPsiTriaXi2(Xi(1))
@@ -739,8 +724,8 @@ MODULE moduleMesh2DCart
     PURE SUBROUTINE partialDerTria(self, dPsi, dx, dy)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartTria), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:,1:)
+      CLASS(meshCell2DCartTria), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dx, dy
 
       dx(1) = DOT_PRODUCT(dPsi(1,:),self%x)
@@ -754,14 +739,13 @@ MODULE moduleMesh2DCart
     PURE FUNCTION elemKTria(self) RESULT(localK)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartTria), INTENT(in):: self
-      REAL(8), ALLOCATABLE:: localK(:,:)
+      CLASS(meshCell2DCartTria), INTENT(in):: self
+      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
       REAL(8):: Xi(1:3)
-      REAL(8):: fPsi(1:3), dPsi(1:2,1:3)
-      REAL(8):: invJ(1:2,1:2), detJ
+      REAL(8):: fPsi(1:3), dPsi(1:3,1:3)
+      REAL(8):: invJ(1:3,1:3), detJ
       INTEGER:: l
 
-      ALLOCATE(localK(1:4, 1:4))
       localK=0.D0
       Xi=0.D0
       !Start 2D Gauss Quad Integral
@@ -771,7 +755,7 @@ MODULE moduleMesh2DCart
         dPsi   = self%dPsi(Xi)
         detJ   = self%detJac(Xi,dPsi)
         invJ   = self%invJac(Xi,dPsi)
-        CALL self%fPsi(Xi, fPsi)
+        fPsi = self%fPsi(Xi)
         localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wTria(l)/detJ
 
       END DO
@@ -782,15 +766,14 @@ MODULE moduleMesh2DCart
     PURE FUNCTION elemFTria(self, source) RESULT(localF)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartTria), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:)
-      REAL(8), ALLOCATABLE:: localF(:)
+      CLASS(meshCell2DCartTria), INTENT(in):: self
+      REAL(8), INTENT(in):: source(1:self%nNodes)
+      REAL(8):: localF(1:self%nNodes)
       REAL(8):: fPsi(1:3)
       REAL(8):: Xi(1:3)
       REAL(8):: detJ, f
       INTEGER:: l
 
-      ALLOCATE(localF(1:3))
       localF = 0.D0
       Xi     = 0.D0
       !Start 2D Gauss Quad Integral
@@ -798,7 +781,7 @@ MODULE moduleMesh2DCart
         Xi(1)  = Xi1Tria(l)
         Xi(2)  = Xi2Tria(l)
         detJ   = self%detJac(Xi)
-        CALL self%fPsi(Xi, fPsi)
+        fPsi = self%fPsi(Xi)
         f      = DOT_PRODUCT(fPsi,source)
         localF = localF + f*fPsi*wTria(l)*detJ
 
@@ -806,6 +789,44 @@ MODULE moduleMesh2DCart
 
     END FUNCTION elemFTria
 
+    PURE FUNCTION gatherEFTria(self, Xi) RESULT(array)
+      IMPLICIT NONE
+      CLASS(meshCell2DCartTria), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+      REAL(8):: phi(1:3)
+
+      phi = (/ self%n1%emData%phi, &
+               self%n2%emData%phi, &
+               self%n3%emData%phi /)
+
+      array = -self%gatherDF(Xi, phi)
+
+    END FUNCTION gatherEFTria
+
+    PURE FUNCTION gatherMFTria(self, Xi) RESULT(array)
+      IMPLICIT NONE
+      CLASS(meshCell2DCartTria), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+      REAL(8):: B(1:3,1:3)
+
+      B(:,1) = (/ self%n1%emData%B(1), &
+                  self%n2%emData%B(1), &
+                  self%n3%emData%B(1) /)
+
+      B(:,2) = (/ self%n1%emData%B(2), &
+                  self%n2%emData%B(2), &
+                  self%n3%emData%B(2) /)
+
+      B(:,3) = (/ self%n1%emData%B(3), &
+                  self%n2%emData%B(3), &
+                  self%n3%emData%B(3) /)
+
+      array = self%gatherF(Xi, 3, B)
+
+    END FUNCTION gatherMFTria
+
     PURE FUNCTION insideTria(Xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -818,64 +839,13 @@ MODULE moduleMesh2DCart
 
     END FUNCTION insideTria
 
-    !Gathers the electric field at position Xi
-    PURE FUNCTION gatherEFTria(self,Xi) RESULT(EF)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCartTria), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: dPsi(1:2,1:3)
-      REAL(8):: dPsiR(1:2,1:3)!Derivative of shpae functions in global coordinates
-      REAL(8):: invJ(1:2,1:2), detJ
-      REAL(8):: phi(1:3)
-      REAL(8):: EF(1:3)
-
-      phi = (/self%n1%emData%phi, &
-              self%n2%emData%phi, &
-              self%n3%emData%phi /)
-
-      dPsi  =  self%dPsi(Xi)
-      detJ  =  self%detJac(Xi,dPsi)
-      invJ  =  self%invJac(Xi,dPsi)
-      dPsiR =  MATMUL(invJ, dPsi)/detJ
-      EF(1) = -DOT_PRODUCT(dPsiR(1,:), phi)
-      EF(2) = -DOT_PRODUCT(dPsiR(2,:), phi)
-      EF(3) =  0.D0
-
-    END FUNCTION gatherEFTria
-
-    PURE FUNCTION gatherMFTria(self,Xi) RESULT(MF)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCartTria), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: fPsi(1:3)
-      REAL(8):: MF_Nodes(1:3,1:3)
-      REAL(8):: MF(1:3)
-
-      MF_Nodes(1:3,1) = (/self%n1%emData%B(1), &
-                          self%n2%emData%B(1), &
-                          self%n3%emData%B(1) /)
-      MF_Nodes(1:3,2) = (/self%n1%emData%B(2), &
-                          self%n2%emData%B(2), &
-                          self%n3%emData%B(2) /)
-      MF_Nodes(1:3,3) = (/self%n1%emData%B(3), &
-                          self%n2%emData%B(3), &
-                          self%n3%emData%B(3) /)
-
-      CALL self%fPsi(Xi, fPsi)
-      MF = MATMUL(fPsi, MF_Nodes)
-
-    END FUNCTION gatherMFTria
-
     !Gets node indexes from triangular element
     PURE FUNCTION getNodesTria(self) RESULT(n)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartTria), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
+      CLASS(meshCell2DCartTria), INTENT(in):: self
+      INTEGER:: n(1:self%nNodes)
 
-      ALLOCATE(n(1:3))
       n = (/self%n1%n, self%n2%n, self%n3%n /)
 
     END FUNCTION getNodesTria
@@ -884,27 +854,27 @@ MODULE moduleMesh2DCart
     PURE FUNCTION phy2logTria(self,r) RESULT(Xi)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartTria), INTENT(in):: self
+      CLASS(meshCell2DCartTria), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: Xi(1:3)
-      REAL(8):: invJ(1:2,1:2), detJ
-      REAL(8):: deltaR(1:2)
-      REAL(8):: dPsi(1:2,1:3)
+      REAL(8):: invJ(1:3,1:3), detJ
+      REAL(8):: deltaR(1:3)
+      REAL(8):: dPsi(1:3,1:3)
 
       !Direct method to convert coordinates
-      Xi      = 0.D0 !Irrelevant, required for input
-      deltaR  = (/ r(1) - self%x(1), r(2) - self%y(1) /)
-      dPsi    = self%dPsi(Xi)
-      invJ    = self%invJac(Xi, dPsi)
-      detJ    = self%detJac(Xi, dPsi)
-      Xi(1:2) = MATMUL(invJ,deltaR)/detJ
+      Xi     = 0.D0
+      deltaR = (/ r(1) - self%x(1), r(2) - self%y(1), 0.D0 /)
+      dPsi   = self%dPsi(Xi)
+      invJ   = self%invJac(Xi, dPsi)
+      detJ   = self%detJac(Xi, dPsi)
+      Xi     = MATMUL(invJ,deltaR)/detJ
 
     END FUNCTION phy2logTria
 
     SUBROUTINE nextElementTria(self, Xi, nextElement)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartTria), INTENT(in):: self
+      CLASS(meshCell2DCartTria), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       CLASS(meshElement), POINTER, INTENT(out):: nextElement
       REAL(8):: XiArray(1:3)
@@ -929,10 +899,10 @@ MODULE moduleMesh2DCart
     PURE FUNCTION detJ2DCart(self, Xi, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCart), INTENT(in):: self
+      CLASS(meshCell2DCart), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      REAL(8):: dPsi(1:3,1:self%nNodes)
       REAL(8):: dJ
       REAL(8):: dx(1:2), dy(1:2)
 
@@ -953,12 +923,12 @@ MODULE moduleMesh2DCart
     PURE FUNCTION invJ2DCart(self,Xi,dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCart), INTENT(in):: self
+      CLASS(meshCell2DCart), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      REAL(8):: dPsi(1:3,1:self%nNodes)
       REAL(8):: dx(1:2), dy(1:2)
-      REAL(8):: invJ(1:2,1:2)
+      REAL(8):: invJ(1:3,1:3)
 
       IF(PRESENT(dPsi_in)) THEN
         dPsi=dPsi_in
@@ -968,9 +938,12 @@ MODULE moduleMesh2DCart
 
       END IF
 
+      invJ = 0.D0
+
       CALL self%partialDer(dPsi, dx, dy)
-      invJ(1,:) = (/  dy(2), -dx(2) /)
-      invJ(2,:) = (/ -dy(1),  dx(1) /)
+
+      invJ(1,1:2) = (/  dy(2), -dx(2) /)
+      invJ(2,1:2) = (/ -dy(1),  dx(1) /)
 
     END FUNCTION invJ2DCart
 
@@ -980,11 +953,11 @@ MODULE moduleMesh2DCart
       CLASS(meshGeneric), INTENT(inout):: self
       INTEGER:: e, et
 
-      DO e = 1, self%numVols
-        !Connect Vol-Vol
-        DO et = 1, self%numVols
+      DO e = 1, self%numCells
+        !Connect Cell-Cell
+        DO et = 1, self%numCells
           IF (e /= et) THEN
-            CALL connectVolVol(self%vols(e)%obj, self%vols(et)%obj)
+            CALL connectCellCell(self%cells(e)%obj, self%cells(et)%obj)
 
           END IF
 
@@ -992,9 +965,9 @@ MODULE moduleMesh2DCart
 
         SELECT TYPE(self)
         TYPE IS(meshParticles)
-          !Connect Vol-Edge
+          !Connect Cell-Edge
           DO et = 1, self%numEdges
-            CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+            CALL connectCellEdge(self%cells(e)%obj, self%edges(et)%obj)
 
           END DO
 
@@ -1005,34 +978,34 @@ MODULE moduleMesh2DCart
     END SUBROUTINE connectMesh2DCart
 
     !Selects type of elements to build connection
-    SUBROUTINE connectVolVol(elemA, elemB)
+    SUBROUTINE connectCellCell(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol), INTENT(inout):: elemA
-      CLASS(meshVol), INTENT(inout):: elemB
+      CLASS(meshCell), INTENT(inout):: elemA
+      CLASS(meshCell), INTENT(inout):: elemB
 
       SELECT TYPE(elemA)
-      TYPE IS(meshVol2DCartQuad)
+      TYPE IS(meshCell2DCartQuad)
         !Element A is a quadrilateral
         SELECT TYPE(elemB)
-        TYPE IS(meshVol2DCartQuad)
+        TYPE IS(meshCell2DCartQuad)
           !Element B is a quadrilateral
           CALL connectQuadQuad(elemA, elemB)
 
-        TYPE IS(meshVol2DCartTria)
+        TYPE IS(meshCell2DCartTria)
           !Element B is a triangle
           CALL connectQuadTria(elemA, elemB)
 
         END SELECT
 
-      TYPE IS(meshVol2DCartTria)
+      TYPE IS(meshCell2DCartTria)
         !Element A is a Triangle
         SELECT TYPE(elemB)
-        TYPE IS(meshVol2DCartQuad)
+        TYPE IS(meshCell2DCartQuad)
           !Element B is a quadrilateral
           CALL connectQuadTria(elemB, elemA)
 
-        TYPE IS(meshVol2DCartTria)
+        TYPE IS(meshCell2DCartTria)
           !Element B is a triangle
           CALL connectTriaTria(elemA, elemB)
 
@@ -1040,22 +1013,22 @@ MODULE moduleMesh2DCart
 
       END SELECT
 
-    END SUBROUTINE connectVolVol
+    END SUBROUTINE connectCellCell
 
-    SUBROUTINE connectVolEdge(elemA, elemB)
+    SUBROUTINE connectCellEdge(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol),  INTENT(inout):: elemA
+      CLASS(meshCell),  INTENT(inout):: elemA
       CLASS(meshEdge), INTENT(inout):: elemB
 
       SELECT TYPE(elemB)
       CLASS IS(meshEdge2DCart)
         SELECT TYPE(elemA)
-        TYPE IS(meshVol2DCartQuad)
+        TYPE IS(meshCell2DCartQuad)
           !Element A is a quadrilateral
           CALL connectQuadEdge(elemA, elemB)
 
-        TYPE IS(meshVol2DCartTria)
+        TYPE IS(meshCell2DCartTria)
           !Element A is a triangle
           CALL connectTriaEdge(elemA, elemB)
 
@@ -1063,13 +1036,13 @@ MODULE moduleMesh2DCart
 
       END SELECT
 
-    END SUBROUTINE connectVolEdge
+    END SUBROUTINE connectCellEdge
 
     SUBROUTINE connectQuadQuad(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemB
+      CLASS(meshCell2DCartQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell2DCartQuad), INTENT(inout), TARGET:: elemB
 
       !Check direction 1
       IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
@@ -1112,8 +1085,8 @@ MODULE moduleMesh2DCart
     SUBROUTINE connectQuadTria(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemB
+      CLASS(meshCell2DCartQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell2DCartTria), INTENT(inout), TARGET:: elemB
 
       !Check direction 1
       IF (.NOT. ASSOCIATED(elemA%e1)) THEN
@@ -1204,8 +1177,8 @@ MODULE moduleMesh2DCart
     SUBROUTINE connectTriaTria(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemB
+      CLASS(meshCell2DCartTria), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell2DCartTria), INTENT(inout), TARGET:: elemB
 
       !Check direction 1
       IF (.NOT. ASSOCIATED(elemA%e1)) THEN
@@ -1277,7 +1250,7 @@ MODULE moduleMesh2DCart
     SUBROUTINE connectQuadEdge(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell2DCartQuad), INTENT(inout), TARGET:: elemA
       CLASS(meshEdge2DCart),    INTENT(inout), TARGET:: elemB
 
       !Check direction 1
@@ -1361,7 +1334,7 @@ MODULE moduleMesh2DCart
     SUBROUTINE connectTriaEdge(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCartTria), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell2DCartTria), INTENT(inout), TARGET:: elemA
       CLASS(meshEdge2DCart),    INTENT(inout), TARGET:: elemB
 
       !Check direction 1
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 2869cb3..9032d61 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -1,4 +1,4 @@
-!moduleMesh2DCyl: 2D axial symmetric extension of generic mesh from GMSH format.
+!moduleMesh2DCyl: 2D aXial symmetric extension of generic mesh from GMSH format.
 !               x == z
 !               y == r
 !               z == theta (unused)
@@ -11,8 +11,8 @@ MODULE moduleMesh2DCyl
   REAL(8), PARAMETER:: corQuad(1:3) = (/ -DSQRT(3.D0/5.D0), 0.D0,      DSQRT(3.D0/5.D0) /)
   REAL(8), PARAMETER:: wQuad(1:3)   = (/        5.D0/9.D0,  8.D0/9.D0,       5.D0/9.D0  /)
 
-  REAL(8), PARAMETER:: xi1Tria(1:4) = (/   1.D0/3.D0,   1.D0/5.D0,   3.D0/5.D0,   1.D0/5.D0  /)
-  REAL(8), PARAMETER:: xi2Tria(1:4) = (/   1.D0/3.D0,   1.D0/5.D0,   1.D0/5.D0,   3.D0/5.D0  /)
+  REAL(8), PARAMETER:: Xi1Tria(1:4) = (/   1.D0/3.D0,   1.D0/5.D0,   3.D0/5.D0,   1.D0/5.D0  /)
+  REAL(8), PARAMETER:: Xi2Tria(1:4) = (/   1.D0/3.D0,   1.D0/5.D0,   1.D0/5.D0,   3.D0/5.D0  /)
   REAL(8), PARAMETER:: wTria(1:4)   = (/ -27.D0/96.D0, 25.D0/96.D0, 25.D0/96.D0, 25.D0/96.D0 /)
 
   TYPE, PUBLIC, EXTENDS(meshNode):: meshNode2DCyl
@@ -37,26 +37,19 @@ MODULE moduleMesh2DCyl
 
   END TYPE meshEdge2DCyl
 
-  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol2DCyl
+  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshCell):: meshCell2DCyl
     CONTAINS
       PROCEDURE, PASS:: detJac    => detJ2DCyl
       PROCEDURE, PASS:: invJac    => invJ2DCyl
-      PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
-      PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
+      PROCEDURE(partialDer_interface), DEFERRED, PASS, PRIVATE:: partialDer
 
-  END TYPE meshVol2DCyl
+  END TYPE meshCell2DCyl
 
   ABSTRACT INTERFACE
-    PURE FUNCTION dPsi_interface(xi) RESULT(dPsi)
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
-
-    END FUNCTION dPsi_interface
-
     PURE SUBROUTINE partialDer_interface(self, dPsi, dz, dr)
-      IMPORT meshVol2DCyl
-      CLASS(meshVol2DCyl), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:,1:)
+      IMPORT meshCell2DCyl
+      CLASS(meshCell2DCyl), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dz, dr
 
     END SUBROUTINE partialDer_interface
@@ -64,7 +57,7 @@ MODULE moduleMesh2DCyl
   END INTERFACE
 
   !Quadrilateral volume element
-  TYPE, PUBLIC, EXTENDS(meshVol2DCyl):: meshVol2DCylQuad
+  TYPE, PUBLIC, EXTENDS(meshCell2DCyl):: meshCell2DCylQuad
     !Element coordinates
     REAL(8):: r(1:4) = 0.D0, z(1:4) = 0.D0
     !Connectivity to nodes
@@ -74,27 +67,27 @@ MODULE moduleMesh2DCyl
     REAL(8):: arNodes(1:4) = 0.D0
 
     CONTAINS
-      PROCEDURE, PASS::   init        => initVolQuad2DCyl
+      PROCEDURE, PASS::   init        => initCellQuad2DCyl
       PROCEDURE, PASS::   randPos     => randPosVolQuad
       PROCEDURE, PASS::   area        => areaQuad
-      PROCEDURE, NOPASS:: fPsi        => fPsiQuad
-      PROCEDURE, NOPASS:: dPsi        => dPsiQuad
-      PROCEDURE, NOPASS:: dPsiXi1     => dPsiQuadXi1
-      PROCEDURE, NOPASS:: dPsiXi2     => dPsiQuadXi2
-      PROCEDURE, PASS::   partialDer  => partialDerQuad
+      PROCEDURE, PASS::   fPsi        => fPsiQuad
+      PROCEDURE, PASS::   dPsi        => dPsiQuad
+      PROCEDURE, NOPASS, PRIVATE:: dPsiXi1     => dPsiQuadXi1
+      PROCEDURE, NOPASS, PRIVATE:: dPsiXi2     => dPsiQuadXi2
+      PROCEDURE, PASS, PRIVATE::   partialDer  => partialDerQuad
       PROCEDURE, PASS::   elemK       => elemKQuad
       PROCEDURE, PASS::   elemF       => elemFQuad
+      PROCEDURE, PASS:: gatherElectricField => gatherEFQuad
+      PROCEDURE, PASS:: gatherMagneticField => gatherMFQuad
       PROCEDURE, NOPASS:: inside      => insideQuad
-      PROCEDURE, PASS::   gatherEF    => gatherEFQuad
-      PROCEDURE, PASS::   gatherMF    => gatherMFQuad
       PROCEDURE, PASS::   getNodes    => getNodesQuad
       PROCEDURE, PASS::   phy2log     => phy2logQuad
       PROCEDURE, PASS::   nextElement => nextElementQuad
 
-  END TYPE meshVol2DCylQuad
+  END TYPE meshCell2DCylQuad
 
   !Triangular volume element
-  TYPE, PUBLIC, EXTENDS(meshVol2DCyl):: meshVol2DCylTria
+  TYPE, PUBLIC, EXTENDS(meshCell2DCyl):: meshCell2DCylTria
     !Element coordinates
     REAL(8):: r(1:3) = 0.D0, z(1:3) = 0.D0
     !Connectivity to nodes
@@ -104,24 +97,24 @@ MODULE moduleMesh2DCyl
     REAL(8):: arNodes(1:3) = 0.D0
 
     CONTAINS
-      PROCEDURE, PASS::   init        => initVolTria2DCyl
+      PROCEDURE, PASS::   init        => initCellTria2DCyl
       PROCEDURE, PASS::   randPos     => randPosVolTria
       PROCEDURE, PASS::   area        => areaTria
-      PROCEDURE, NOPASS:: fPsi        => fPsiTria
-      PROCEDURE, NOPASS:: dPsi        => dPsiTria
+      PROCEDURE, PASS::   fPsi        => fPsiTria
+      PROCEDURE, PASS::   dPsi        => dPsiTria
       PROCEDURE, NOPASS:: dPsiXi1     => dPsiTriaXi1
       PROCEDURE, NOPASS:: dPsiXi2     => dPsiTriaXi2
-      PROCEDURE, PASS::   partialDer  => partialDerTria
+      PROCEDURE, PASS, PRIVATE::   partialDer  => partialDerTria
       PROCEDURE, PASS::   elemK       => elemKTria
       PROCEDURE, PASS::   elemF       => elemFTria
+      PROCEDURE, PASS:: gatherElectricField => gatherEFTria
+      PROCEDURE, PASS:: gatherMagneticField => gatherMFTria
       PROCEDURE, NOPASS:: inside      => insideTria
-      PROCEDURE, PASS::   gatherEF    => gatherEFTria
-      PROCEDURE, PASS::   gatherMF    => gatherMFTria
       PROCEDURE, PASS::   getNodes    => getNodesTria
       PROCEDURE, PASS::   phy2log     => phy2logTria
       PROCEDURE, PASS::   nextElement => nextElementTria
 
-  END TYPE meshVol2DCylTria
+  END TYPE meshCell2DCylTria
 
   CONTAINS
     !NODE FUNCTIONS
@@ -265,17 +258,18 @@ MODULE moduleMesh2DCyl
     !VOLUME FUNCTIONS
     !QUAD FUNCTIONS
     !Inits quadrilateral element
-    SUBROUTINE initVolQuad2DCyl(self, n, p, nodes)
+    SUBROUTINE initCellQuad2DCyl(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylQuad), INTENT(out):: self
+      CLASS(meshCell2DCylQuad), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
       TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3, r4
 
       self%n  = n
+      self%nNodes = SIZE(p)
       self%n1 => nodes(p(1))%obj
       self%n2 => nodes(p(2))%obj
       self%n3 => nodes(p(3))%obj
@@ -300,104 +294,106 @@ MODULE moduleMesh2DCyl
       ALLOCATE(self%listPart_in(1:nSpecies))
       ALLOCATE(self%totalWeight(1:nSpecies))
 
-    END SUBROUTINE initVolQuad2DCyl
+    END SUBROUTINE initCellQuad2DCyl
 
     !Computes element area
     PURE SUBROUTINE areaQuad(self)
       USE moduleConstParam, ONLY: PI8
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylQuad), INTENT(inout):: self
-      REAL(8):: r, xi(1:3)
+      CLASS(meshCell2DCylQuad), INTENT(inout):: self
+      REAL(8):: r, Xi(1:3)
       REAL(8):: detJ
       REAL(8):: fPsi(1:4), fPsi_node(1:4)
 
       self%volume  = 0.D0
       self%arNodes = 0.D0
       !2D 1 point Gauss Quad Integral
-      xi = 0.D0
-      detJ = self%detJac(xi)*PI8 !4*2*pi
-      CALL self%fPsi(xi, fPsi)
+      Xi = 0.D0
+      detJ = self%detJac(Xi)*PI8 !4*2*pi
+      fPsi = self%fPsi(Xi)
       !Computes total volume of the cell
       r = DOT_PRODUCT(fPsi,self%r)
       self%volume  = r*detJ
       !Computes volume per node
-      xi = (/-5.D-1, -5.D-1, 0.D0/)
-      CALL self%fPsi(xi, fPsi_node)
+      Xi = (/-5.D-1, -5.D-1, 0.D0/)
+      fPsi_node = self%fPsi(Xi)
       r = DOT_PRODUCT(fPsi_node,self%r)
       self%arNodes(1) = fPsi(1)*r*detJ
-      xi = (/ 5.D-1, -5.D-1, 0.D0/)
-      CALL self%fPsi(xi, fPsi_node)
+      Xi = (/ 5.D-1, -5.D-1, 0.D0/)
+      fPsi_node = self%fPsi(Xi)
       r = DOT_PRODUCT(fPsi_node,self%r)
       self%arNodes(2) = fPsi(2)*r*detJ
-      xi = (/ 5.D-1,  5.D-1, 0.D0/)
-      CALL self%fPsi(xi, fPsi_node)
+      Xi = (/ 5.D-1,  5.D-1, 0.D0/)
+      fPsi_node = self%fPsi(Xi)
       r = DOT_PRODUCT(fPsi_node,self%r)
       self%arNodes(3) = fPsi(3)*r*detJ
-      xi = (/-5.D-1,  5.D-1, 0.D0/)
-      CALL self%fPsi(xi, fPsi_node)
+      Xi = (/-5.D-1,  5.D-1, 0.D0/)
+      fPsi_node = self%fPsi(Xi)
       r = DOT_PRODUCT(fPsi_node,self%r)
       self%arNodes(4) = fPsi(4)*r*detJ
 
     END SUBROUTINE areaQuad
 
-    !Computes element functions in point xi
-    PURE SUBROUTINE fPsiQuad(xi, fPsi)
+    !Computes element functions in point Xi
+    PURE FUNCTION fPsiQuad(self, Xi) RESULT(fPsi)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), INTENT(out):: fPsi(:)
+      CLASS(meshCell2DCylQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: fPsi(1:self%nNodes)
 
-      fPsi(1) = (1.D0-xi(1)) * (1.D0-xi(2))
-      fPsi(2) = (1.D0+xi(1)) * (1.D0-xi(2))
-      fPsi(3) = (1.D0+xi(1)) * (1.D0+xi(2))
-      fPsi(4) = (1.D0-xi(1)) * (1.D0+xi(2))
+      fPsi(1) = (1.D0-Xi(1)) * (1.D0-Xi(2))
+      fPsi(2) = (1.D0+Xi(1)) * (1.D0-Xi(2))
+      fPsi(3) = (1.D0+Xi(1)) * (1.D0+Xi(2))
+      fPsi(4) = (1.D0-Xi(1)) * (1.D0+Xi(2))
 
       fPsi    = fPsi*0.25D0
 
-    END SUBROUTINE fPsiQuad
+    END FUNCTION fPsiQuad
 
-    !Derivative element function at coordinates xi
-    PURE FUNCTION dPsiQuad(xi) RESULT(dPsi)
+    !Derivative element function at coordinates Xi
+    PURE FUNCTION dPsiQuad(self, Xi) RESULT(dPsi)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      CLASS(meshCell2DCylQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: dPsi(1:3,1:self%nNodes)
 
-      ALLOCATE(dPsi(1:2,1:4))
+      dPsi = 0.D0
 
-      dPsi(1,:) = dPsiQuadXi1(xi(2))
-      dPsi(2,:) = dPsiQuadXi2(xi(1))
+      dPsi(1,:) = dPsiQuadXi1(Xi(2))
+      dPsi(2,:) = dPsiQuadXi2(Xi(1))
 
     END FUNCTION dPsiQuad
 
-    !Derivative element function (xi1)
-    PURE FUNCTION dPsiQuadXi1(xi2) RESULT(dPsiXi1) 
+    !Derivative element function (Xi1)
+    PURE FUNCTION dPsiQuadXi1(Xi2) RESULT(dPsiXi1) 
       IMPLICIT NONE
 
-      REAL(8),INTENT(in):: xi2
+      REAL(8),INTENT(in):: Xi2
       REAL(8):: dPsiXi1(1:4)
 
-      dPsiXi1(1) = -(1.D0 - xi2)
-      dPsiXi1(2) =  (1.D0 - xi2)
-      dPsiXi1(3) =  (1.D0 + xi2)
-      dPsiXi1(4) = -(1.D0 + xi2)
+      dPsiXi1(1) = -(1.D0 - Xi2)
+      dPsiXi1(2) =  (1.D0 - Xi2)
+      dPsiXi1(3) =  (1.D0 + Xi2)
+      dPsiXi1(4) = -(1.D0 + Xi2)
 
       dPsiXi1    = dPsiXi1*0.25D0
       
     END FUNCTION dPsiQuadXi1
 
-    !Derivative element function (xi2)
-    PURE FUNCTION dPsiQuadXi2(xi1) RESULT(dPsiXi2) 
+    !Derivative element function (Xi2)
+    PURE FUNCTION dPsiQuadXi2(Xi1) RESULT(dPsiXi2) 
       IMPLICIT NONE
 
-      REAL(8),INTENT(in):: xi1
+      REAL(8),INTENT(in):: Xi1
       REAL(8):: dPsiXi2(1:4)
 
-      dPsiXi2(1) = -(1.D0 - xi1)
-      dPsiXi2(2) = -(1.D0 + xi1)
-      dPsiXi2(3) =  (1.D0 + xi1)
-      dPsiXi2(4) =  (1.D0 - xi1)
+      dPsiXi2(1) = -(1.D0 - Xi1)
+      dPsiXi2(2) = -(1.D0 + Xi1)
+      dPsiXi2(3) =  (1.D0 + Xi1)
+      dPsiXi2(4) =  (1.D0 - Xi1)
 
       dPsiXi2    = dPsiXi2 * 0.25D0
 
@@ -407,8 +403,8 @@ MODULE moduleMesh2DCyl
     PURE SUBROUTINE partialDerQuad(self, dPsi, dz, dr)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:,1:)
+      CLASS(meshCell2DCylQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dz, dr
 
       dz(1) = DOT_PRODUCT(dPsi(1,:),self%z)
@@ -423,16 +419,16 @@ MODULE moduleMesh2DCyl
       USE moduleRandom
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylQuad), INTENT(in):: self
+      CLASS(meshCell2DCylQuad), INTENT(in):: self
       REAL(8):: r(1:3)
-      REAL(8):: xii(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
+      REAL(8):: Xi(1:3)
+      REAL(8):: fPsi(1:4)
 
-      xii(1) = random(-1.D0, 1.D0)
-      xii(2) = random(-1.D0, 1.D0)
-      xii(3) = 0.D0
+      Xi(1) = random(-1.D0, 1.D0)
+      Xi(2) = random(-1.D0, 1.D0)
+      Xi(3) = 0.D0
 
-      CALL self%fPsi(xii, fPsi)
+      fPsi = self%fPsi(Xi)
 
       r(1) = DOT_PRODUCT(fPsi, self%z)
       r(2) = DOT_PRODUCT(fPsi, self%r)
@@ -445,26 +441,25 @@ MODULE moduleMesh2DCyl
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylQuad), INTENT(in):: self
-      REAL(8), ALLOCATABLE:: localK(:,:)
-      REAL(8):: r, xi(1:3)
-      REAL(8):: fPsi(1:4), dPsi(1:2,1:4)
-      REAL(8):: invJ(1:2,1:2), detJ
+      CLASS(meshCell2DCylQuad), INTENT(in):: self
+      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
+      REAL(8):: r, Xi(1:3)
+      REAL(8):: fPsi(1:4), dPsi(1:3,1:4)
+      REAL(8):: invJ(1:3,1:3), detJ
       INTEGER:: l, m
 
-      ALLOCATE(localK(1:4, 1:4))
       localK=0.D0
-      xi=0.D0
+      Xi=0.D0
       !Start 2D Gauss Quad Integral
       DO l=1, 3
-        xi(2) = corQuad(l)
-        dPsi(1,:) = self%dPsiXi1(xi(2))
+        Xi(2) = corQuad(l)
+        dPsi(1,:) = self%dPsiXi1(Xi(2))
         DO m = 1, 3
-          xi(1)     = corQuad(m)
-          dPsi(2,:) = self%dPsiXi2(xi(1))
-          CALL self%fPsi(xi, fPsi)
-          detJ      = self%detJac(xi,dPsi)
-          invJ      = self%invJac(xi,dPsi)
+          Xi(1)     = corQuad(m)
+          dPsi(2,:) = self%dPsiXi2(Xi(1))
+          fPsi = self%fPsi(Xi)
+          detJ      = self%detJac(Xi,dPsi)
+          invJ      = self%invJac(Xi,dPsi)
           r         = DOT_PRODUCT(fPsi,self%r)
           localK    = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
                                             MATMUL(invJ,dPsi))* &
@@ -481,23 +476,22 @@ MODULE moduleMesh2DCyl
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:)
-      REAL(8), ALLOCATABLE:: localF(:)
-      REAL(8):: r, xi(1:3)
+      CLASS(meshCell2DCylQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: source(1:self%nNodes)
+      REAL(8):: localF(1:self%nNodes)
+      REAL(8):: r, Xi(1:3)
       REAL(8):: fPsi(1:4)
       REAL(8):: detJ, f
       INTEGER:: l, m
 
-      ALLOCATE(localF(1:4))
       localF = 0.D0
-      xi     = 0.D0
+      Xi     = 0.D0
       DO l=1, 3
-        xi(1) = corQuad(l)
+        Xi(1) = corQuad(l)
         DO m = 1, 3
-          xi(2)  = corQuad(m)
-          detJ   = self%detJac(xi)
-          CALL self%fPsi(xi, fPsi)
+          Xi(2)  = corQuad(m)
+          detJ   = self%detJac(Xi)
+          fPsi = self%fPsi(Xi)
           r      = DOT_PRODUCT(fPsi,self%r)
           f      = DOT_PRODUCT(fPsi,source)
           localF = localF + r*f*fPsi*wQuad(l)*wQuad(m)*detJ
@@ -508,93 +502,80 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION elemFQuad
 
-    !Checks if a particle is inside a quad element
-    PURE FUNCTION insideQuad(xi) RESULT(ins)
+    PURE FUNCTION gatherEFQuad(self, Xi) RESULT(array)
       IMPLICIT NONE
-
-      REAL(8), INTENT(in):: xi(1:3)
-      LOGICAL:: ins
-
-      ins = (xi(1) >= -1.D0 .AND. xi(1) <= 1.D0) .AND. &
-            (xi(2) >= -1.D0 .AND. xi(2) <= 1.D0)
-
-    END FUNCTION insideQuad
-
-    !Gathers the electric field at position xi
-    PURE FUNCTION gatherEFQuad(self,xi) RESULT(EF)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCylQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: dPsi(1:2,1:4)
-      REAL(8):: dPsiR(1:2,1:4)!Derivative of shpae functions in global coordinates
-      REAL(8):: invJ(1:2,1:2), detJ
+      CLASS(meshCell2DCylQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
       REAL(8):: phi(1:4)
-      REAL(8):: EF(1:3)
 
-      phi = (/self%n1%emData%phi, &
-              self%n2%emData%phi, &
-              self%n3%emData%phi, &
-              self%n4%emData%phi /)
+      phi = (/ self%n1%emData%phi, &
+               self%n2%emData%phi, &
+               self%n3%emData%phi, &
+               self%n4%emData%phi /)
 
-      dPsi  =  self%dPsi(xi)
-      detJ  =  self%detJac(xi,dPsi)
-      invJ  =  self%invJac(xi,dPsi)
-      dPsiR =  MATMUL(invJ, dPsi)/detJ
-      EF(1) = -DOT_PRODUCT(dPsiR(1,:), phi)
-      EF(2) = -DOT_PRODUCT(dPsiR(2,:), phi)
-      EF(3) =  0.D0
+      array = -self%gatherDF(Xi, phi)
 
     END FUNCTION gatherEFQuad
 
-    PURE FUNCTION gatherMFQuad(self,xi) RESULT(MF)
+    PURE FUNCTION gatherMFQuad(self, Xi) RESULT(array)
       IMPLICIT NONE
+      CLASS(meshCell2DCylQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+      REAL(8):: B(1:4,1:3)
 
-      CLASS(meshVol2DCylQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: fPsi(1:4)
-      REAL(8):: MF_Nodes(1:4,1:3)
-      REAL(8):: MF(1:3)
+      B(:,1) = (/ self%n1%emData%B(1), &
+                  self%n2%emData%B(1), &
+                  self%n3%emData%B(1), &
+                  self%n4%emData%B(1) /)
 
-      MF_Nodes(1:4,1) = (/self%n1%emData%B(1), &
-                          self%n2%emData%B(1), &
-                          self%n3%emData%B(1), &
-                          self%n4%emData%B(1) /)
-      MF_Nodes(1:4,2) = (/self%n1%emData%B(2), &
-                          self%n2%emData%B(2), &
-                          self%n3%emData%B(2), &
-                          self%n4%emData%B(2) /)
-      MF_Nodes(1:4,3) = (/self%n1%emData%B(3), &
-                          self%n2%emData%B(3), &
-                          self%n3%emData%B(3), &
-                          self%n4%emData%B(3) /)
+      B(:,2) = (/ self%n1%emData%B(2), &
+                  self%n2%emData%B(2), &
+                  self%n3%emData%B(2), &
+                  self%n4%emData%B(2) /)
 
-      CALL self%fPsi(xi, fPsi)
-      MF = MATMUL(fPsi(:), MF_Nodes)
+      B(:,3) = (/ self%n1%emData%B(3), &
+                  self%n2%emData%B(3), &
+                  self%n3%emData%B(3), &
+                  self%n4%emData%B(3) /)
+
+      array = self%gatherF(Xi, 3, B)
 
     END FUNCTION gatherMFQuad
 
+    !Checks if a particle is inside a quad element
+    PURE FUNCTION insideQuad(Xi) RESULT(ins)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: Xi(1:3)
+      LOGICAL:: ins
+
+      ins = (Xi(1) >= -1.D0 .AND. Xi(1) <= 1.D0) .AND. &
+            (Xi(2) >= -1.D0 .AND. Xi(2) <= 1.D0)
+
+    END FUNCTION insideQuad
+
     !Gets nodes from quadrilateral element
     PURE FUNCTION getNodesQuad(self) RESULT(n)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylQuad), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
+      CLASS(meshCell2DCylQuad), INTENT(in):: self
+      INTEGER:: n(1:self%nNodes)
 
-      ALLOCATE(n(1:4))
       n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
 
     END FUNCTION getNodesQuad
 
     !Transforms physical coordinates to element coordinates
-    PURE FUNCTION phy2logQuad(self,r) RESULT(XiN) 
+    PURE FUNCTION phy2logQuad(self,r) RESULT(Xi) 
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylQuad), INTENT(in):: self
+      CLASS(meshCell2DCylQuad), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
-      REAL(8):: XiN(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: XiO(1:3), detJ, invJ(1:2,1:2), f(1:2)
-      REAL(8):: dPsi(1:2,1:4), fPsi(1:4)
+      REAL(8):: dPsi(1:3,1:4), fPsi(1:4)
       REAL(8):: conv
 
       !Iterative newton method to transform coordinates
@@ -602,32 +583,33 @@ MODULE moduleMesh2DCyl
       XiO=0.D0
 
       DO WHILE(conv>1.D-3)
-        CALL self%fPsi(XiO, fPsi)
-        f = (/ DOT_PRODUCT(fPsi,self%z)-r(1), &
-               DOT_PRODUCT(fPsi,self%r)-r(2) /)
         dPsi = self%dPsi(XiO)
         invJ = self%invJac(XiO, dPsi)
-        detJ = self%detJac(XiO,dPsi)
-        XiN(1:2)=XiO(1:2) - MATMUL(invJ, f)/detJ
-        conv=MAXVAL(DABS(XiN-XiO),1)
-        XiO=XiN
+        detJ = self%detJac(XiO, dPsi)
+        fPsi = self%fPsi(XiO)
+        f = (/ DOT_PRODUCT(fPsi,self%z), &
+               DOT_PRODUCT(fPsi,self%r) /)
+        f = f - r(1:2)
+        Xi(1:2) = XiO(1:2) - MATMUL(invJ, f)/detJ
+        conv = MAXVAL(DABS(Xi-XiO),1)
+        XiO = Xi
 
       END DO
 
     END FUNCTION phy2logQuad
 
-    !Gets the next element for a logical position xi
-    SUBROUTINE nextElementQuad(self, xi, nextElement)
+    !Gets the next element for a logical position Xi
+    SUBROUTINE nextElementQuad(self, Xi, nextElement)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      CLASS(meshCell2DCylQuad), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
       CLASS(meshElement), POINTER, INTENT(out):: nextElement
-      REAL(8):: xiArray(1:4)
+      REAL(8):: XiArray(1:4)
       INTEGER:: nextInt
 
-      xiArray = (/ -xi(2), xi(1), xi(2), -xi(1) /)
-      nextInt = MAXLOC(xiArray,1)
+      XiArray = (/ -Xi(2), Xi(1), Xi(2), -Xi(1) /)
+      nextInt = MAXLOC(XiArray,1)
       !Selects the higher value of directions and searches in that direction
       NULLIFY(nextElement)
       SELECT CASE (nextInt)
@@ -645,11 +627,11 @@ MODULE moduleMesh2DCyl
 
     !TRIA ELEMENT
     !Init tria element
-    SUBROUTINE initVolTria2DCyl(self, n, p, nodes)
+    SUBROUTINE initCellTria2DCyl(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylTria), INTENT(out):: self
+      CLASS(meshCell2DCylTria), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
       TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
@@ -658,6 +640,9 @@ MODULE moduleMesh2DCyl
       !Assign node index
       self%n = n
 
+      !Assign nomber of nodes to cell
+      self%nNodes = SIZE(p)
+
       !Assign nodes to element
       self%n1 => nodes(p(1))%obj
       self%n2 => nodes(p(2))%obj
@@ -679,23 +664,23 @@ MODULE moduleMesh2DCyl
       ALLOCATE(self%listPart_in(1:nSpecies))
       ALLOCATE(self%totalWeight(1:nSpecies))
 
-    END SUBROUTINE initVolTria2DCyl
+    END SUBROUTINE initCellTria2DCyl
 
     !Random position in quadrilateral volume
     FUNCTION randPosVolTria(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylTria), INTENT(in):: self
+      CLASS(meshCell2DCylTria), INTENT(in):: self
       REAL(8):: r(1:3)
-      REAL(8):: xii(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
+      REAL(8):: Xi(1:3)
+      REAL(8):: fPsi(1:3)
 
-      xii(1) = random( 0.D0, 1.D0)
-      xii(2) = random( 0.D0, 1.D0 - xii(1))
-      xii(3) = 0.D0
+      Xi(1) = random( 0.D0, 1.D0)
+      Xi(2) = random( 0.D0, 1.D0 - Xi(1))
+      Xi(3) = 0.D0
 
-      CALL self%fPsi(xii, fPsi)
+      fPsi = self%fPsi(Xi)
 
       r(1) = DOT_PRODUCT(fPsi, self%z)
       r(2) = DOT_PRODUCT(fPsi, self%r)
@@ -708,17 +693,17 @@ MODULE moduleMesh2DCyl
       USE moduleConstParam, ONLY: PI
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylTria), INTENT(inout):: self
-      REAL(8):: r, xi(1:3)
+      CLASS(meshCell2DCylTria), INTENT(inout):: self
+      REAL(8):: r, Xi(1:3)
       REAL(8):: detJ
       REAL(8):: fPsi(1:3)
 
       self%volume  = 0.D0
       self%arNodes = 0.D0
       !2D 1 point Gauss Quad Integral
-      xi = (/1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
-      detJ  = self%detJac(xi)*PI !2PI*1/2
-      CALL self%fPsi(xi, fPsi)
+      Xi = (/1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
+      detJ  = self%detJac(Xi)*PI !2PI*1/2
+      fPsi = self%fPsi(Xi)
       !Computes total volume of the cell
       r = DOT_PRODUCT(fPsi,self%r)
       self%volume  =      r*detJ
@@ -728,37 +713,39 @@ MODULE moduleMesh2DCyl
     END SUBROUTINE areaTria
 
     !Shape functions for triangular element
-    PURE SUBROUTINE fPsiTria(xi, fPsi)
+    PURE FUNCTION fPsiTria(self, Xi) RESULT(fPsi)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), INTENT(out):: fPsi(:)
+      CLASS(meshCell2DCylTria), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: fPsi(1:self%nNodes)
 
-      fPsi(1) = 1.D0 - xi(1) - xi(2)
-      fPsi(2) =        xi(1)
-      fPsi(3) =                xi(2)
+      fPsi(1) = 1.D0 - Xi(1) - Xi(2)
+      fPsi(2) =        Xi(1)
+      fPsi(3) =                Xi(2)
 
-    END SUBROUTINE fPsiTria
+    END FUNCTION fPsiTria
 
-    !Derivative element function at coordinates xi
-    PURE FUNCTION dPsiTria(xi) RESULT(dPsi)
+    !Derivative element function at coordinates Xi
+    PURE FUNCTION dPsiTria(self, Xi) RESULT(dPsi)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      CLASS(meshCell2DCylTria), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: dPsi(1:3,1:self%nNodes)
 
-      ALLOCATE(dPsi(1:2,1:3))
+      dPsi = 0.D0
 
-      dPsi(1,:) = dPsiTriaXi1(xi(2))
-      dPsi(2,:) = dPsiTriaXi2(xi(1))
+      dPsi(1,:) = dPsiTriaXi1(Xi(2))
+      dPsi(2,:) = dPsiTriaXi2(Xi(1))
 
     END FUNCTION dPsiTria
 
-    !Derivative element function (xi1)
-    PURE FUNCTION dPsiTriaXi1(xi2) RESULT(dPsiXi1)
+    !Derivative element function (Xi1)
+    PURE FUNCTION dPsiTriaXi1(Xi2) RESULT(dPsiXi1)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi2
+      REAL(8), INTENT(in):: Xi2
       REAL(8):: dPsiXi1(1:3)
 
       dPsiXi1(1) = -1.D0
@@ -767,11 +754,11 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION dPsiTriaXi1
 
-    !Derivative element function (xi1)
-    PURE FUNCTION dPsiTriaXi2(xi1) RESULT(dPsiXi2)
+    !Derivative element function (Xi1)
+    PURE FUNCTION dPsiTriaXi2(Xi1) RESULT(dPsiXi2)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi1
+      REAL(8), INTENT(in):: Xi1
       REAL(8):: dPsiXi2(1:3)
 
       dPsiXi2(1) = -1.D0
@@ -783,8 +770,8 @@ MODULE moduleMesh2DCyl
     PURE SUBROUTINE partialDerTria(self, dPsi, dz, dr)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylTria), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:,1:)
+      CLASS(meshCell2DCylTria), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dz, dr
 
       dz(1) = DOT_PRODUCT(dPsi(1,:),self%z)
@@ -799,24 +786,23 @@ MODULE moduleMesh2DCyl
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylTria), INTENT(in):: self
-      REAL(8), ALLOCATABLE:: localK(:,:)
-      REAL(8):: r, xi(1:3)
-      REAL(8):: fPsi(1:3), dPsi(1:2,1:3)
-      REAL(8):: invJ(1:2,1:2), detJ
+      CLASS(meshCell2DCylTria), INTENT(in):: self
+      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
+      REAL(8):: r, Xi(1:3)
+      REAL(8):: fPsi(1:3), dPsi(1:3,1:3)
+      REAL(8):: invJ(1:3,1:3), detJ
       INTEGER:: l
 
-      ALLOCATE(localK(1:4, 1:4))
       localK=0.D0
-      xi=0.D0
+      Xi=0.D0
       !Start 2D Gauss Quad Integral
       DO l=1, 4
-        xi(1)  = xi1Tria(l)
-        xi(2)  = xi2Tria(l)
-        dPsi   = self%dPsi(xi)
-        detJ   = self%detJac(xi,dPsi)
-        invJ   = self%invJac(xi,dPsi)
-        CALL self%fPsi(xi, fPsi)
+        Xi(1)  = Xi1Tria(l)
+        Xi(2)  = Xi2Tria(l)
+        dPsi   = self%dPsi(Xi)
+        detJ   = self%detJac(Xi,dPsi)
+        invJ   = self%invJac(Xi,dPsi)
+        fPsi   = self%fPsi(Xi)
         r      = DOT_PRODUCT(fPsi,self%r)
         localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*r*wTria(l)/detJ
 
@@ -830,23 +816,22 @@ MODULE moduleMesh2DCyl
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylTria), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:)
-      REAL(8), ALLOCATABLE:: localF(:)
+      CLASS(meshCell2DCylTria), INTENT(in):: self
+      REAL(8), INTENT(in):: source(1:self%nNodes)
+      REAL(8):: localF(1:self%nNodes)
       REAL(8):: fPsi(1:3)
-      REAL(8):: r, xi(1:3)
+      REAL(8):: r, Xi(1:3)
       REAL(8):: detJ, f
       INTEGER:: l
 
-      ALLOCATE(localF(1:3))
       localF = 0.D0
-      xi     = 0.D0
+      Xi     = 0.D0
       !Start 2D Gauss Quad Integral
       DO l=1, 4
-        xi(1)  = xi1Tria(l)
-        xi(2)  = xi2Tria(l)
-        detJ   = self%detJac(xi)
-        CALL self%fPsi(xi, fPsi)
+        Xi(1)  = Xi1Tria(l)
+        Xi(2)  = Xi2Tria(l)
+        detJ   = self%detJac(Xi)
+        fPsi   = self%fPsi(Xi)
         r      = DOT_PRODUCT(fPsi,self%r)
         f      = DOT_PRODUCT(fPsi,source)
         localF = localF + r*f*fPsi*wTria(l)*detJ
@@ -856,112 +841,99 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION elemFTria
 
-    PURE FUNCTION insideTria(xi) RESULT(ins)
+    PURE FUNCTION gatherEFTria(self, Xi) RESULT(array)
       IMPLICIT NONE
-
-      REAL(8), INTENT(in):: xi(1:3)
-      LOGICAL:: ins
-
-      ins =        xi(1)         >= 0.D0 .AND. &
-                           xi(2) >= 0.D0 .AND. &
-            1.D0 - xi(1) - xi(2) >= 0.D0
-
-    END FUNCTION insideTria
-
-    !Gathers the electric field at position xi
-    PURE FUNCTION gatherEFTria(self,xi) RESULT(EF)
-      IMPLICIT NONE
-
-      CLASS(meshVol2DCylTria), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: dPsi(1:2,1:3)
-      REAL(8):: dPsiR(1:2,1:3)!Derivative of shpae functions in global coordinates
-      REAL(8):: invJ(1:2,1:2), detJ
+      CLASS(meshCell2DCylTria), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
       REAL(8):: phi(1:3)
-      REAL(8):: EF(1:3)
 
-      phi = (/self%n1%emData%phi, &
-              self%n2%emData%phi, &
-              self%n3%emData%phi /)
+      phi = (/ self%n1%emData%phi, &
+               self%n2%emData%phi, &
+               self%n3%emData%phi /)
 
-      dPsi  =  self%dPsi(xi)
-      detJ  =  self%detJac(xi,dPsi)
-      invJ  =  self%invJac(xi,dPsi)
-      dPsiR =  MATMUL(invJ, dPsi)/detJ
-      EF(1) = -DOT_PRODUCT(dPsiR(1,:), phi)
-      EF(2) = -DOT_PRODUCT(dPsiR(2,:), phi)
-      EF(3) =  0.D0
+      array = -self%gatherDF(Xi, phi)
 
     END FUNCTION gatherEFTria
 
-    PURE FUNCTION gatherMFTria(self,xi) RESULT(MF)
+    PURE FUNCTION gatherMFTria(self, Xi) RESULT(array)
       IMPLICIT NONE
+      CLASS(meshCell2DCylTria), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+      REAL(8):: B(1:3,1:3)
 
-      CLASS(meshVol2DCylTria), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: fPsi(1:3)
-      REAL(8):: MF_Nodes(1:3,1:3)
-      REAL(8):: MF(1:3)
+      B(:,1) = (/ self%n1%emData%B(1), &
+                  self%n2%emData%B(1), &
+                  self%n3%emData%B(1) /)
 
-      MF_Nodes(1:3,1) = (/self%n1%emData%B(1), &
-                          self%n2%emData%B(1), &
-                          self%n3%emData%B(1) /)
-      MF_Nodes(1:3,2) = (/self%n1%emData%B(2), &
-                          self%n2%emData%B(2), &
-                          self%n3%emData%B(2) /)
-      MF_Nodes(1:3,3) = (/self%n1%emData%B(3), &
-                          self%n2%emData%B(3), &
-                          self%n3%emData%B(3) /)
+      B(:,2) = (/ self%n1%emData%B(2), &
+                  self%n2%emData%B(2), &
+                  self%n3%emData%B(2) /)
 
-      CALL self%fPsi(xi, fPsi)
-      MF = MATMUL(fPsi, MF_Nodes)
+      B(:,3) = (/ self%n1%emData%B(3), &
+                  self%n2%emData%B(3), &
+                  self%n3%emData%B(3) /)
+
+      array = self%gatherF(Xi, 3, B)
 
     END FUNCTION gatherMFTria
 
+    PURE FUNCTION insideTria(Xi) RESULT(ins)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: Xi(1:3)
+      LOGICAL:: ins
+
+      ins =        Xi(1)         >= 0.D0 .AND. &
+                           Xi(2) >= 0.D0 .AND. &
+            1.D0 - Xi(1) - Xi(2) >= 0.D0
+
+    END FUNCTION insideTria
+
     !Gets node indexes from triangular element
     PURE FUNCTION getNodesTria(self) RESULT(n)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylTria), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
+      CLASS(meshCell2DCylTria), INTENT(in):: self
+      INTEGER:: n(1:self%nNodes)
 
-      ALLOCATE(n(1:3))
       n = (/self%n1%n, self%n2%n, self%n3%n /)
 
     END FUNCTION getNodesTria
 
     !Transforms physical coordinates to element coordinates
-    PURE FUNCTION phy2logTria(self,r) RESULT(xi)
+    PURE FUNCTION phy2logTria(self,r) RESULT(Xi)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylTria), INTENT(in):: self
+      CLASS(meshCell2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
-      REAL(8):: xi(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: invJ(1:2,1:2), detJ
       REAL(8):: deltaR(1:2)
-      REAL(8):: dPsi(1:2,1:3)
+      REAL(8):: dPsi(1:3,1:3)
 
       !Direct method to convert coordinates
-      xi      = 0.D0 !Irrelevant, required for input
+      Xi      = 0.D0 !Irrelevant, required for input
       deltaR  = (/ r(1) - self%z(1), r(2) - self%r(1) /)
-      dPsi    = self%dPsi(xi)
-      invJ    = self%invJac(xi, dPsi)
-      detJ    = self%detJac(xi, dPsi)
-      xi(1:2) = MATMUL(invJ,deltaR)/detJ
+      dPsi    = self%dPsi(Xi)
+      invJ    = self%invJac(Xi, dPsi)
+      detJ    = self%detJac(Xi, dPsi)
+      Xi(1:2) = MATMUL(invJ,deltaR)/detJ
 
     END FUNCTION phy2logTria
 
-    SUBROUTINE nextElementTria(self, xi, nextElement)
+    SUBROUTINE nextElementTria(self, Xi, nextElement)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylTria), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      CLASS(meshCell2DCylTria), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
       CLASS(meshElement), POINTER, INTENT(out):: nextElement
-      REAL(8):: xiArray(1:3)
+      REAL(8):: XiArray(1:3)
       INTEGER:: nextInt
 
-      xiArray = (/ xi(2), 1.D0-xi(1)-xi(2), xi(1) /)
-      nextInt = MINLOC(xiArray,1)
+      XiArray = (/ Xi(2), 1.D0-Xi(1)-Xi(2), Xi(1) /)
+      nextInt = MINLOC(XiArray,1)
       NULLIFY(nextElement)
       SELECT CASE (nextInt)
       CASE (1)
@@ -976,21 +948,21 @@ MODULE moduleMesh2DCyl
 
     !COMMON FUNCTIONS FOR CYLINDRICAL VOLUME ELEMENTS
     !Computes element Jacobian determinant
-    PURE FUNCTION detJ2DCyl(self, xi, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ2DCyl(self, Xi, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCyl), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      CLASS(meshCell2DCyl), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
       REAL(8):: dJ
+      REAL(8):: dPsi(1:3,1:self%nNodes)
       REAL(8):: dz(1:2), dr(1:2)
 
       IF(PRESENT(dPsi_in)) THEN
         dPsi = dPsi_in
 
       ELSE
-        dPsi = self%dPsi(xi)
+        dPsi = self%dPsi(Xi)
 
       END IF
 
@@ -1000,27 +972,30 @@ MODULE moduleMesh2DCyl
     END FUNCTION detJ2DCyl
 
     !Computes element Jacobian inverse matrix (without determinant)
-    PURE FUNCTION invJ2DCyl(self,xi,dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ2DCyl(self,Xi,dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCyl), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      CLASS(meshCell2DCyl), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      REAL(8):: invJ(1:3,1:3)
+      REAL(8):: dPsi(1:3,1:self%nNodes)
       REAL(8):: dz(1:2), dr(1:2)
-      REAL(8):: invJ(1:2,1:2)
 
       IF(PRESENT(dPsi_in)) THEN
         dPsi=dPsi_in
 
       ELSE
-        dPsi = self%dPsi(xi)
+        dPsi = self%dPsi(Xi)
 
       END IF
 
+      invJ = 0.D0
+
       CALL self%partialDer(dPsi, dz, dr)
-      invJ(1,:) = (/  dr(2), -dz(2) /)
-      invJ(2,:) = (/ -dr(1),  dz(1) /)
+
+      invJ(1,1:2) = (/  dr(2), -dz(2) /)
+      invJ(2,1:2) = (/ -dr(1),  dz(1) /)
 
     END FUNCTION invJ2DCyl
 
@@ -1030,11 +1005,11 @@ MODULE moduleMesh2DCyl
       CLASS(meshGeneric), INTENT(inout):: self
       INTEGER:: e, et
 
-      DO e = 1, self%numVols
+      DO e = 1, self%numCells
         !Connect Vol-Vol
-        DO et = 1, self%numVols
+        DO et = 1, self%numCells
           IF (e /= et) THEN
-            CALL connectVolVol(self%vols(e)%obj, self%vols(et)%obj)
+            CALL connectVolVol(self%cells(e)%obj, self%cells(et)%obj)
 
           END IF
 
@@ -1044,7 +1019,7 @@ MODULE moduleMesh2DCyl
         TYPE IS(meshParticles)
           !Connect Vol-Edge
           DO et = 1, self%numEdges
-            CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+            CALL connectVolEdge(self%cells(e)%obj, self%edges(et)%obj)
 
           END DO
 
@@ -1058,31 +1033,31 @@ MODULE moduleMesh2DCyl
     SUBROUTINE connectVolVol(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol), INTENT(inout):: elemA
-      CLASS(meshVol), INTENT(inout):: elemB
+      CLASS(meshCell), INTENT(inout):: elemA
+      CLASS(meshCell), INTENT(inout):: elemB
 
       SELECT TYPE(elemA)
-      TYPE IS(meshVol2DCylQuad)
+      TYPE IS(meshCell2DCylQuad)
         !Element A is a quadrilateral
         SELECT TYPE(elemB)
-        TYPE IS(meshVol2DCylQuad)
+        TYPE IS(meshCell2DCylQuad)
           !Element B is a quadrilateral
           CALL connectQuadQuad(elemA, elemB)
 
-        TYPE IS(meshVol2DCylTria)
+        TYPE IS(meshCell2DCylTria)
           !Element B is a triangle
           CALL connectQuadTria(elemA, elemB)
 
         END SELECT
 
-      TYPE IS(meshVol2DCylTria)
+      TYPE IS(meshCell2DCylTria)
         !Element A is a Triangle
         SELECT TYPE(elemB)
-        TYPE IS(meshVol2DCylQuad)
+        TYPE IS(meshCell2DCylQuad)
           !Element B is a quadrilateral
           CALL connectQuadTria(elemB, elemA)
 
-        TYPE IS(meshVol2DCylTria)
+        TYPE IS(meshCell2DCylTria)
           !Element B is a triangle
           CALL connectTriaTria(elemA, elemB)
 
@@ -1095,17 +1070,17 @@ MODULE moduleMesh2DCyl
     SUBROUTINE connectVolEdge(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol),  INTENT(inout):: elemA
+      CLASS(meshCell),  INTENT(inout):: elemA
       CLASS(meshEdge), INTENT(inout):: elemB
 
       SELECT TYPE(elemB)
       CLASS IS(meshEdge2DCyl)
         SELECT TYPE(elemA)
-        TYPE IS(meshVol2DCylQuad)
+        TYPE IS(meshCell2DCylQuad)
           !Element A is a quadrilateral
           CALL connectQuadEdge(elemA, elemB)
 
-        TYPE IS(meshVol2DCylTria)
+        TYPE IS(meshCell2DCylTria)
           !Element A is a triangle
           CALL connectTriaEdge(elemA, elemB)
 
@@ -1118,8 +1093,8 @@ MODULE moduleMesh2DCyl
     SUBROUTINE connectQuadQuad(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemB
+      CLASS(meshCell2DCylQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell2DCylQuad), INTENT(inout), TARGET:: elemB
 
       !Check direction 1
       IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
@@ -1162,8 +1137,8 @@ MODULE moduleMesh2DCyl
     SUBROUTINE connectQuadTria(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemB
+      CLASS(meshCell2DCylQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell2DCylTria), INTENT(inout), TARGET:: elemB
 
       !Check direction 1
       IF (.NOT. ASSOCIATED(elemA%e1)) THEN
@@ -1254,8 +1229,8 @@ MODULE moduleMesh2DCyl
     SUBROUTINE connectTriaTria(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemB
+      CLASS(meshCell2DCylTria), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell2DCylTria), INTENT(inout), TARGET:: elemB
 
       !Check direction 1
       IF (.NOT. ASSOCIATED(elemA%e1)) THEN
@@ -1327,7 +1302,7 @@ MODULE moduleMesh2DCyl
     SUBROUTINE connectQuadEdge(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylQuad), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell2DCylQuad), INTENT(inout), TARGET:: elemA
       CLASS(meshEdge2DCyl),    INTENT(inout), TARGET:: elemB
 
       !Check direction 1
@@ -1411,7 +1386,7 @@ MODULE moduleMesh2DCyl
     SUBROUTINE connectTriaEdge(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol2DCylTria), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell2DCylTria), INTENT(inout), TARGET:: elemA
       CLASS(meshEdge2DCyl),    INTENT(inout), TARGET:: elemB
 
       !Check direction 1
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 4b29c16..9bd6468 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -31,26 +31,19 @@ MODULE moduleMesh3DCart
 
   END TYPE meshEdge3DCartTria
 
-  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol3DCart
+  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshCell):: meshCell3DCart
     CONTAINS
       PROCEDURE, PASS:: detJac => detJ3DCart
       PROCEDURE, PASS:: invJac => invJ3DCart
-      PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
       PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
   
-  END TYPE meshVol3DCart
+  END TYPE meshCell3DCart
 
   ABSTRACT INTERFACE
-    PURE FUNCTION dPsi_interface(Xi) RESULT(dPsi)
-      REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
-
-    END FUNCTION dPsi_interface
-
     PURE SUBROUTINE partialDer_interface(self, dPsi, dx, dy, dz)
-      IMPORT meshVol3DCart
-      CLASS(meshVol3DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:,1:)
+      IMPORT meshCell3DCart
+      CLASS(meshCell3DCart), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1:3):: dx, dy, dz
 
     END SUBROUTINE partialDer_interface
@@ -58,7 +51,7 @@ MODULE moduleMesh3DCart
   END INTERFACE
 
   !Tetrahedron volume element
-  TYPE, PUBLIC, EXTENDS(meshVol3DCart):: meshVol3DCartTetra
+  TYPE, PUBLIC, EXTENDS(meshCell3DCart):: meshCell3DCartTetra
     !Element Coordinates
     REAL(8):: x(1:4) = 0.D0, y(1:4) = 0.D0, z(1:4) = 0.D0
     !Connectivity to nodes
@@ -66,24 +59,24 @@ MODULE moduleMesh3DCart
     !Connectivity to adjacent elements
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
     CONTAINS
-      PROCEDURE, PASS::   init        => initVolTetra3DCart
-      PROCEDURE, PASS::   randPos     => randPosVolTetra
-      PROCEDURE, PASS::   calcVol     => volumeTetra
-      PROCEDURE, NOPASS:: fPsi        => fPsiTetra
-      PROCEDURE, NOPASS:: dPsi        => dPsiTetra
-      PROCEDURE, NOPASS:: dPsiXi1     => dPsiTetraXi1
-      PROCEDURE, NOPASS:: dPsiXi2     => dPsiTetraXi2
+      PROCEDURE, PASS::   init        => initCellTetra3DCart
+      PROCEDURE, PASS::   randPos     => randPosCellTetra
+      PROCEDURE, PASS::   calcCell     => volumeTetra
+      PROCEDURE, PASS:: fPsi        => fPsiTetra
+      PROCEDURE, PASS:: dPsi        => dPsiTetra
+      PROCEDURE, NOPASS, PRIVATE:: dPsiXi1 => dPsiTetraXi1
+      PROCEDURE, NOPASS, PRIVATE:: dPsiXi2 => dPsiTetraXi2
       PROCEDURE, PASS::   partialDer  => partialDerTetra
       PROCEDURE, PASS::   elemK       => elemKTetra
       PROCEDURE, PASS::   elemF       => elemFTetra
+      PROCEDURE, PASS:: gatherElectricField => gatherEFTetra
+      PROCEDURE, PASS:: gatherMagneticField => gatherMFTetra
       PROCEDURE, NOPASS:: inside      => insideTetra
-      PROCEDURE, PASS::   gatherEF    => gatherEFTetra
-      PROCEDURE, PASS::   gatherMF    => gatherMFTetra
       PROCEDURE, PASS::   getNodes    => getNodesTetra
       PROCEDURE, PASS::   phy2log     => phy2logTetra
       PROCEDURE, PASS::   nextElement => nextElementTetra
       
-  END TYPE meshVol3DCartTetra
+  END TYPE meshCell3DCartTetra
 
   CONTAINS
     !NODE FUNCTIONS
@@ -245,19 +238,20 @@ MODULE moduleMesh3DCart
     !VOLUME FUNCTIONS
     !TETRA FUNCTIONS
     !Inits tetrahedron element
-    SUBROUTINE initVolTetra3DCart(self, n, p, nodes)
+    SUBROUTINE initCellTetra3DCart(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
-      CLASS(meshVol3DCartTetra), INTENT(out):: self
+      CLASS(meshCell3DCartTetra), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
       TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3, r4 !Positions of each node
       REAL(8):: Xi(1:3), fPsi(1:4)
-      REAL(8):: volNodes(1:4) !Volume of each node
+      REAL(8):: volNodes(1:4) !Cellume of each node
 
       self%n  = n
+      self%nNodes = SIZE(p)
       self%n1 => nodes(p(1))%obj
       self%n2 => nodes(p(2))%obj
       self%n3 => nodes(p(3))%obj
@@ -272,11 +266,11 @@ MODULE moduleMesh3DCart
       self%z  = (/r1(3), r2(3), r3(3), r4(3)/)
 
       !Computes the element volume
-      CALL self%calcVol()
+      CALL self%calcCell()
 
       !Assign proportional volume to each node
       Xi = (/0.25D0, 0.25D0, 0.25D0/)
-      CALL self%fPsi(Xi, fPsi)
+      fPsi = self%fPsi(Xi)
       volNodes = fPsi*self%volume
       self%n1%v = self%n1%v + volNodes(1)
       self%n2%v = self%n2%v + volNodes(2)
@@ -288,14 +282,14 @@ MODULE moduleMesh3DCart
       ALLOCATE(self%listPart_in(1:nSpecies))
       ALLOCATE(self%totalWeight(1:nSpecies))
 
-    END SUBROUTINE initVolTetra3DCart
+    END SUBROUTINE initCellTetra3DCart
 
     !Random position in volume tetrahedron
-    FUNCTION randPosVolTetra(self) RESULT(r)
+    FUNCTION randPosCellTetra(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
 
-      CLASS(meshVol3DCartTetra), INTENT(in):: self
+      CLASS(meshCell3DCartTetra), INTENT(in):: self
       REAL(8):: r(1:3)
       REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4)
@@ -304,19 +298,19 @@ MODULE moduleMesh3DCart
       Xi(2) = random( 0.D0, 1.D0 - Xi(1))
       Xi(3) = random( 0.D0, 1.D0 - Xi(1) - Xi(2))
 
-      CALL self%fPsi(Xi, fPsi)
+      fPsi = self%fPsi(Xi)
 
       r = (/ DOT_PRODUCT(fPsi, self%x), &
              DOT_PRODUCT(fPsi, self%y), &
              DOT_PRODUCT(fPsi, self%z) /)
 
-    END FUNCTION randPosVolTetra
+    END FUNCTION randPosCellTetra
 
     !Computes the element volume
     PURE SUBROUTINE volumeTetra(self)
       IMPLICIT NONE
 
-      CLASS(meshVol3DCartTetra), INTENT(inout):: self
+      CLASS(meshCell3DCartTetra), INTENT(inout):: self
       REAL(8):: Xi(1:3)
 
       self%volume = 0.D0
@@ -326,27 +320,29 @@ MODULE moduleMesh3DCart
     END SUBROUTINE volumeTetra
 
     !Computes element functions in point Xi
-    PURE SUBROUTINE fPsiTetra(Xi, fPsi)
+    PURE FUNCTION fPsiTetra(self, Xi) RESULT(fPsi)
       IMPLICIT NONE
 
+      CLASS(meshCell3DCartTetra), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(out):: fPsi(:)
+      REAL(8):: fPsi(1:self%nNodes)
 
       fPsi(1) = 1.D0 - Xi(1) - Xi(2) - Xi(3)
       fPsi(2) =        Xi(1)
       fPsi(3) =                Xi(2)
       fPsi(4) =                        Xi(3)
 
-    END SUBROUTINE fPsiTetra
+    END FUNCTION fPsiTetra
 
     !Derivative element function at coordinates Xi
-    PURE FUNCTION dPsiTetra(Xi) RESULT(dPsi)
+    PURE FUNCTION dPsiTetra(self, Xi) RESULT(dPsi)
       IMPLICIT NONE
 
+      CLASS(meshCell3DCartTetra), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8):: dPsi(1:3, 1:self%nNodes)
 
-      ALLOCATE(dPsi(1:3,1:4))
+      dPsi = 0.D0
 
       dPsi(1,:) = dPsiTetraXi1(Xi(2), Xi(3))
       dPsi(2,:) = dPsiTetraXi2(Xi(1), Xi(3))
@@ -397,8 +393,8 @@ MODULE moduleMesh3DCart
     PURE SUBROUTINE partialDerTetra(self, dPsi, dx, dy, dz)
       IMPLICIT NONE
 
-      CLASS(meshVol3DCartTetra), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:, 1:)
+      CLASS(meshCell3DCartTetra), INTENT(in):: self
+      REAL(8), INTENT(in):: dPsi(1:3, 1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1:3):: dx, dy, dz
 
       dx(1) = DOT_PRODUCT(dPsi(1,:), self%x)
@@ -418,13 +414,12 @@ MODULE moduleMesh3DCart
     PURE FUNCTION elemKTetra(self) RESULT(localK)
       IMPLICIT NONE
 
-      CLASS(meshVol3DCartTetra), INTENT(in):: self
-      REAL(8), ALLOCATABLE:: localK(:,:)
+      CLASS(meshCell3DCartTetra), INTENT(in):: self
+      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
       REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
       REAL(8):: invJ(1:3,1:3), detJ
 
-      ALLOCATE(localK(1:4,1:4))
       localK = 0.D0
       Xi    = 0.D0
       !TODO: One point Gauss integral. Upgrade when possible
@@ -432,7 +427,7 @@ MODULE moduleMesh3DCart
       dPsi   = self%dPsi(Xi)
       detJ   = self%detJac(Xi, dPsi)
       invJ   = self%invJac(Xi, dPsi)
-      CALL self%fPsi(Xi, fPsi)
+      fPsi = self%fPsi(Xi)
       localK = MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*1.D0/detJ
 
     END FUNCTION elemKTetra
@@ -440,26 +435,66 @@ MODULE moduleMesh3DCart
     PURE FUNCTION elemFTetra(self, source) RESULT(localF)
       IMPLICIT NONE
 
-      CLASS(meshVol3DCartTetra), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:)
-      REAL(8), ALLOCATABLE:: localF(:)
+      CLASS(meshCell3DCartTetra), INTENT(in):: self
+      REAL(8), INTENT(in):: source(1:self%nNodes)
+      REAL(8):: localF(1:self%nNodes)
       REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
       REAL(8):: Xi(1:3)
       REAL(8):: detJ, f
 
-      ALLOCATE(localF(1:4))
-
       localF = 0.D0
       Xi   = 0.D0
       Xi   = (/ 0.25D0, 0.25D0, 0.25D0 /)
       dPsi = self%dPsi(Xi)
       detJ = self%detJac(Xi, dPsi)
-      CALL self%fPsi(Xi, fPsi)
+      fPsi = self%fPsi(Xi)
       f    = DOT_PRODUCT(fPsi, source)
       localF = f*fPsi*1.D0*detJ
 
     END FUNCTION elemFTetra
 
+    PURE FUNCTION gatherEFTetra(self, Xi) RESULT(array)
+      IMPLICIT NONE
+      CLASS(meshCell3DCartTetra), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+      REAL(8):: phi(1:4)
+
+      phi = (/ self%n1%emData%phi, &
+               self%n2%emData%phi, &
+               self%n3%emData%phi, &
+               self%n4%emData%phi /)
+
+      array = -self%gatherDF(Xi, phi)
+
+    END FUNCTION gatherEFTetra
+
+    PURE FUNCTION gatherMFTetra(self, Xi) RESULT(array)
+      IMPLICIT NONE
+      CLASS(meshCell3DCartTetra), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+      REAL(8):: B(1:4,1:3)
+
+      B(:,1) = (/ self%n1%emData%B(1), &
+                  self%n2%emData%B(1), &
+                  self%n3%emData%B(1), &
+                  self%n4%emData%B(1) /)
+
+      B(:,2) = (/ self%n1%emData%B(2), &
+                  self%n2%emData%B(2), &
+                  self%n3%emData%B(2), &
+                  self%n4%emData%B(2) /)
+
+      B(:,3) = (/ self%n1%emData%B(3), &
+                  self%n2%emData%B(3), &
+                  self%n3%emData%B(3), &
+                  self%n4%emData%B(3) /)
+
+      array = self%gatherF(Xi, 3, B)
+
+    END FUNCTION gatherMFTetra
+
     PURE FUNCTION insideTetra(Xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -473,66 +508,12 @@ MODULE moduleMesh3DCart
       
     END FUNCTION insideTetra
 
-    PURE FUNCTION gatherEFTetra(self, Xi) RESULT(EF)
-      IMPLICIT NONE
-
-      CLASS(meshVol3DCartTetra), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: dPsi(1:3, 1:4)
-      REAL(8):: dPsiR(1:3, 1:4)
-      REAL(8):: invJ(1:3, 1:3), detJ
-      REAL(8):: phi(1:4)
-      REAL(8):: EF(1:3)
-
-      phi = (/self%n1%emData%phi, &
-              self%n2%emData%phi, &
-              self%n3%emData%phi, &
-              self%n4%emData%phi /)
-
-      dPsi  = self%dPsi(Xi)
-      detJ  = self%detJac(Xi, dPsi)
-      invJ  = self%invJac(Xi, dPsi)
-      dPsiR =  MATMUL(invJ, dPsi)/detJ
-      EF(1) = -DOT_PRODUCT(dPsiR(1,:), phi)
-      EF(2) = -DOT_PRODUCT(dPsiR(2,:), phi)
-      EF(3) = -DOT_PRODUCT(dPsiR(3,:), phi)
-
-    END FUNCTION gatherEFTetra
-
-    PURE FUNCTION gatherMFTetra(self, Xi) RESULT(MF)
-      IMPLICIT NONE
-
-      CLASS(meshVol3DCartTetra), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: fPsi(1:4)
-      REAL(8):: MF_Nodes(1:4,1:3)
-      REAL(8):: MF(1:3)
-
-      MF_Nodes(1:4,1) = (/self%n1%emData%B(1), &
-                          self%n2%emData%B(1), &
-                          self%n3%emData%B(1), &
-                          self%n4%emData%B(1) /)
-      MF_Nodes(1:4,2) = (/self%n1%emData%B(2), &
-                          self%n2%emData%B(2), &
-                          self%n3%emData%B(2), &
-                          self%n4%emData%B(2) /)
-      MF_Nodes(1:4,3) = (/self%n1%emData%B(3), &
-                          self%n2%emData%B(3), &
-                          self%n3%emData%B(3), &
-                          self%n4%emData%B(3) /)
-
-      CALL self%fPsi(Xi, fPsi)
-      MF = MATMUL(fPsi, MF_Nodes)
-
-    END FUNCTION gatherMFTetra
-
     PURE FUNCTION getNodesTetra(self) RESULT(n)
       IMPLICIT NONE
 
-      CLASS(meshVol3DCartTetra), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
+      CLASS(meshCell3DCartTetra), INTENT(in):: self
+      INTEGER:: n(1:self%nnodes)
 
-      ALLOCATE(n(1:4))
       n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
 
     END FUNCTION getNodesTetra
@@ -540,7 +521,7 @@ MODULE moduleMesh3DCart
     PURE FUNCTION phy2logTetra(self,r) RESULT(Xi)
       IMPLICIT NONE
 
-      CLASS(meshVol3DCartTetra), INTENT(in):: self
+      CLASS(meshCell3DCartTetra), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: Xi(1:3)
       REAL(8):: invJ(1:3, 1:3), detJ
@@ -559,7 +540,7 @@ MODULE moduleMesh3DCart
     SUBROUTINE nextElementTetra(self, Xi, nextElement)
       IMPLICIT NONE
 
-      CLASS(meshVol3DCartTetra), INTENT(in):: self
+      CLASS(meshCell3DCartTetra), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       CLASS(meshElement), POINTER, INTENT(out):: nextElement
       REAL(8):: XiArray(1:4)
@@ -587,11 +568,11 @@ MODULE moduleMesh3DCart
     PURE FUNCTION detJ3DCart(self, Xi, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
-      CLASS(meshVol3DCart), INTENT(in)::self
+      CLASS(meshCell3DCart), INTENT(in)::self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:, 1:)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3, 1:self%nNodes)
       REAL(8):: dJ
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8):: dPsi(1:3, 1:self%nNodes)
       REAL(8):: dx(1:3), dy(1:3), dz(1:3)
 
       IF (PRESENT(dPsi_in)) THEN
@@ -612,10 +593,10 @@ MODULE moduleMesh3DCart
     PURE FUNCTION invJ3DCart(self,Xi,dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
-      CLASS(meshVol3DCart), INTENT(in):: self
+      CLASS(meshCell3DCart), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
-      REAL(8), ALLOCATABLE:: dPsi(:,:)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3, 1:self%nNodes)
+      REAL(8):: dPsi(1:3, 1:self%nNodes)
       REAL(8), DIMENSION(1:3):: dx, dy, dz
       REAL(8):: invJ(1:3,1:3)
 
@@ -645,17 +626,17 @@ MODULE moduleMesh3DCart
     END FUNCTION invJ3DCart
 
     !Selects type of elements to build connection
-    SUBROUTINE connectVolVol(elemA, elemB)
+    SUBROUTINE connectCellCell(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol), INTENT(inout):: elemA
-      CLASS(meshVol), INTENT(inout):: elemB
+      CLASS(meshCell), INTENT(inout):: elemA
+      CLASS(meshCell), INTENT(inout):: elemB
 
       SELECT TYPE(elemA)
-      TYPE IS(meshVol3DCartTetra)
+      TYPE IS(meshCell3DCartTetra)
         !Element A is a tetrahedron
         SELECT TYPE(elemB)
-        TYPE IS(meshVol3DCartTetra)
+        TYPE IS(meshCell3DCartTetra)
           !Element B is a tetrahedron
           CALL connectTetraTetra(elemA, elemB)
 
@@ -663,18 +644,18 @@ MODULE moduleMesh3DCart
 
       END SELECT
 
-    END SUBROUTINE connectVolVol
+    END SUBROUTINE connectCellCell
 
-    SUBROUTINE connectVolEdge(elemA, elemB)
+    SUBROUTINE connectCellEdge(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol),  INTENT(inout):: elemA
+      CLASS(meshCell),  INTENT(inout):: elemA
       CLASS(meshEdge), INTENT(inout):: elemB
 
       SELECT TYPE(elemB)
       CLASS IS(meshEdge3DCartTria)
         SELECT TYPE(elemA)
-        TYPE IS(meshVol3DCartTetra)
+        TYPE IS(meshCell3DCartTetra)
           !Element A is a tetrahedron
           CALL connectTetraEdge(elemA, elemB)
 
@@ -682,7 +663,7 @@ MODULE moduleMesh3DCart
 
       END SELECT
 
-    END SUBROUTINE connectVolEdge
+    END SUBROUTINE connectCellEdge
 
     SUBROUTINE connectMesh3DCart(self)
       IMPLICIT NONE
@@ -690,11 +671,11 @@ MODULE moduleMesh3DCart
       CLASS(meshGeneric), INTENT(inout):: self
       INTEGER:: e, et
 
-      DO e = 1, self%numVols
-        !Connect Vol-Vol
-        DO et = 1, self%numVols
+      DO e = 1, self%numCells
+        !Connect Cell-Cell
+        DO et = 1, self%numCells
           IF (e /= et) THEN
-            CALL connectVolVol(self%vols(e)%obj, self%vols(et)%obj)
+            CALL connectCellCell(self%cells(e)%obj, self%cells(et)%obj)
 
           END IF
 
@@ -702,9 +683,9 @@ MODULE moduleMesh3DCart
 
         SELECT TYPE(self)
         TYPE IS(meshParticles)
-          !Connect Vol-Edge
+          !Connect Cell-Edge
           DO et = 1, self%numEdges
-            CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
+            CALL connectCellEdge(self%cells(e)%obj, self%edges(et)%obj)
 
           END DO
 
@@ -740,8 +721,8 @@ MODULE moduleMesh3DCart
     SUBROUTINE connectTetraTetra(elemA, elemB)
       IMPLICIT NONE
 
-      CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemA
-      CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemB
+      CLASS(meshCell3DCartTetra), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell3DCartTetra), INTENT(inout), TARGET:: elemB
 
       !Check surface 1
       IF (.NOT. ASSOCIATED(elemA%e1)) THEN
@@ -869,11 +850,11 @@ MODULE moduleMesh3DCart
       USE moduleMath
       IMPLICIT NONE
 
-      CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemA
+      CLASS(meshCell3DCartTetra), INTENT(inout), TARGET:: elemA
       CLASS(meshEdge3DCartTria), INTENT(inout), TARGET:: elemB
       INTEGER:: nodesEdge(1:3)
       REAL(8), DIMENSION(1:3):: vec1, vec2
-      REAL(8):: normVol(1:3)
+      REAL(8):: normCell(1:3)
 
       nodesEdge = (/ elemB%n1%n, elemB%n2%n, elemB%n3%n /)
 
@@ -888,10 +869,10 @@ MODULE moduleMesh3DCart
           vec2 = (/ elemA%x(3) - elemA%x(1), &
                     elemA%y(3) - elemA%y(1), &
                     elemA%z(3) - elemA%z(1) /)
-          normVol = crossProduct(vec1, vec2)
-          normVol = normalize(normVol)
+          normCell = crossProduct(vec1, vec2)
+          normCell = normalize(normCell)
 
-          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
+          IF (DOT_PRODUCT(elemB%normal, normCell) == -1.D0) THEN
 
             elemA%e1 => elemB
             elemB%e1 => elemA
@@ -921,10 +902,10 @@ MODULE moduleMesh3DCart
           vec2 = (/ elemA%x(4) - elemA%x(2), &
                     elemA%y(4) - elemA%y(2), &
                     elemA%z(4) - elemA%z(2) /)
-          normVol = crossProduct(vec1, vec2)
-          normVol = normalize(normVol)
+          normCell = crossProduct(vec1, vec2)
+          normCell = normalize(normCell)
 
-          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
+          IF (DOT_PRODUCT(elemB%normal, normCell) == -1.D0) THEN
 
             elemA%e2 => elemB
             elemB%e1 => elemA
@@ -954,10 +935,10 @@ MODULE moduleMesh3DCart
           vec2 = (/ elemA%x(4) - elemA%x(1), &
                     elemA%y(4) - elemA%y(1), &
                     elemA%z(4) - elemA%z(1) /)
-          normVol = crossProduct(vec1, vec2)
-          normVol = normalize(normVol)
+          normCell = crossProduct(vec1, vec2)
+          normCell = normalize(normCell)
 
-          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
+          IF (DOT_PRODUCT(elemB%normal, normCell) == -1.D0) THEN
 
             elemA%e3 => elemB
             elemB%e1 => elemA
@@ -987,10 +968,10 @@ MODULE moduleMesh3DCart
           vec2 = (/ elemA%x(4) - elemA%x(1), &
                     elemA%y(4) - elemA%y(1), &
                     elemA%z(4) - elemA%z(1) /)
-          normVol = crossProduct(vec1, vec2)
-          normVol = normalize(normVol)
+          normCell = crossProduct(vec1, vec2)
+          normCell = normalize(normCell)
 
-          IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
+          IF (DOT_PRODUCT(elemB%normal, normCell) == -1.D0) THEN
 
             elemA%e4 => elemB
             elemB%e1 => elemA
diff --git a/src/modules/mesh/inout/0D/moduleMeshInput0D.f90 b/src/modules/mesh/inout/0D/moduleMeshInput0D.f90
index 5ac0682..37dbf82 100644
--- a/src/modules/mesh/inout/0D/moduleMeshInput0D.f90
+++ b/src/modules/mesh/inout/0D/moduleMeshInput0D.f90
@@ -41,8 +41,8 @@ MODULE moduleMeshInput0D
       self%numNodes = 1
       ALLOCATE(self%nodes(1:1))
       !Allocates one volume
-      self%numVols = 1
-      ALLOCATE(self%vols(1:1))
+      self%numCells = 1
+      ALLOCATE(self%cells(1:1))
       !Allocates matrix K
       SELECT TYPE(self)
       TYPE IS(meshParticles)
@@ -59,8 +59,8 @@ MODULE moduleMeshInput0D
       CALL self%nodes(1)%obj%init(1, r)
 
       !Creates the volume
-      ALLOCATE(meshVol0D:: self%vols(1)%obj)
-      CALL self%vols(1)%obj%init(1, (/ 1/), self%nodes)
+      ALLOCATE(meshCell0D:: self%cells(1)%obj)
+      CALL self%cells(1)%obj%init(1, (/ 1/), self%nodes)
 
     END SUBROUTINE read0D
 
diff --git a/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90 b/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
index 15045b1..dfe9605 100644
--- a/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
+++ b/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
@@ -57,7 +57,7 @@ MODULE moduleMeshOutput0D
       END IF
       
       OPEN(20, file = path // folder // '/' // fileName, position = 'append', action = 'write')
-      WRITE(20, "(ES20.6E3, 10I20)") REAL(t)*tauMin*ti_ref, (self%vols(1)%obj%tallyColl(k)%tally, k=1,nCollPairs)
+      WRITE(20, "(ES20.6E3, 10I20)") REAL(t)*tauMin*ti_ref, (self%cells(1)%obj%tallyColl(k)%tally, k=1,nCollPairs)
       CLOSE(20)
 
     END SUBROUTINE printColl0D
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index 7832843..aae2216 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -136,7 +136,7 @@ MODULE moduleMeshInputGmsh2
 
         !Substract the number of edges to the total number of elements
         !to obtain the number of volume elements
-        self%numVols = TotalnumElem - self%numEdges
+        self%numCells = TotalnumElem - self%numEdges
         ALLOCATE(self%edges(1:self%numEdges))
         numEdges = self%numEdges
 
@@ -146,13 +146,13 @@ MODULE moduleMeshInputGmsh2
         END DO
 
       TYPE IS(meshCollisions)
-        self%numVols = TotalnumElem
+        self%numCells = TotalnumElem
         numEdges = 0
 
       END SELECT
 
       !Allocates arrays
-      ALLOCATE(self%vols(1:self%numVols))
+      ALLOCATE(self%cells(1:self%numCells))
 
       SELECT TYPE(self)
       TYPE IS(meshParticles)
@@ -232,7 +232,7 @@ MODULE moduleMeshInputGmsh2
       END SELECT
 
       !Read and initialize volumes
-      DO e = 1, self%numVols
+      DO e = 1, self%numCells
         !Reads the volume according to the geometry
         SELECT CASE(self%dimen)
         CASE(3)
@@ -244,7 +244,7 @@ MODULE moduleMeshInputGmsh2
             !Tetrahedron element
             ALLOCATE(p(1:4))
             READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:4)
-            ALLOCATE(meshVol3DCartTetra::  self%vols(e)%obj)
+            ALLOCATE(meshCell3DCartTetra::  self%cells(e)%obj)
 
           END SELECT
 
@@ -259,13 +259,13 @@ MODULE moduleMeshInputGmsh2
               !Triangular element
               ALLOCATE(p(1:3))
               READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:3)
-              ALLOCATE(meshVol2DCylTria:: self%vols(e)%obj)
+              ALLOCATE(meshCell2DCylTria:: self%cells(e)%obj)
 
             CASE (3)
               !Quadrilateral element
               ALLOCATE(p(1:4))
               READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:4)
-              ALLOCATE(meshVol2DCylQuad:: self%vols(e)%obj)
+              ALLOCATE(meshCell2DCylQuad:: self%cells(e)%obj)
 
             END SELECT
 
@@ -278,13 +278,13 @@ MODULE moduleMeshInputGmsh2
               !Triangular element
               ALLOCATE(p(1:3))
               READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:3)
-              ALLOCATE(meshVol2DCartTria:: self%vols(e)%obj)
+              ALLOCATE(meshCell2DCartTria:: self%cells(e)%obj)
 
             CASE (3)
               !Quadrilateral element
               ALLOCATE(p(1:4))
               READ(10,*) n, elemType, eTemp, eTemp, eTemp, p(1:4)
-              ALLOCATE(meshVol2DCartQuad:: self%vols(e)%obj)
+              ALLOCATE(meshCell2DCartQuad:: self%cells(e)%obj)
 
             END SELECT
 
@@ -296,19 +296,19 @@ MODULE moduleMeshInputGmsh2
             ALLOCATE(p(1:2))
 
             READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:2)
-            ALLOCATE(meshVol1DRadSegm:: self%vols(e)%obj)
+            ALLOCATE(meshCell1DRadSegm:: self%cells(e)%obj)
 
           CASE("Cart")
             ALLOCATE(p(1:2))
 
             READ(10, *) n, elemType, eTemp, eTemp, eTemp, p(1:2)
-            ALLOCATE(meshVol1DCartSegm:: self%vols(e)%obj)
+            ALLOCATE(meshCell1DCartSegm:: self%cells(e)%obj)
 
           END SELECT
 
         END SELECT
 
-        CALL self%vols(e)%obj%init(n - numEdges, p, self%nodes)
+        CALL self%cells(e)%obj%init(n - numEdges, p, self%nodes)
         DEALLOCATE(p)
 
       END DO
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index 7eade3e..53485f4 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -181,9 +181,9 @@ MODULE moduleMeshOutputGmsh2
           DO c = 1, interactionMatrix(k)%amount
             WRITE(cString, "(I2)") c
             title = '"Pair ' // interactionMatrix(k)%sp_i%name // '-' // interactionMatrix(k)%sp_j%name // ' collision ' // cString
-            CALL writeGmsh2HeaderElementData(60, title, t, time, 1, self%numVols)
-            DO n=1, self%numVols
-              WRITE(60, "(I6,I10)") n + numEdges, self%vols(n)%obj%tallyColl(k)%tally(c)
+            CALL writeGmsh2HeaderElementData(60, title, t, time, 1, self%numCells)
+            DO n=1, self%numCells
+              WRITE(60, "(I6,I10)") n + numEdges, self%cells(n)%obj%tallyColl(k)%tally(c)
             END DO
             CALL writeGmsh2FooterElementData(60)
 
@@ -211,9 +211,9 @@ MODULE moduleMeshOutputGmsh2
       REAL(8):: time
       CHARACTER(:), ALLOCATABLE:: fileName
       CHARACTER (LEN=iterationDigits):: tstring
-      REAL(8):: xi(1:3)
+      REAL(8):: Xi(1:3)
 
-      xi = (/ 0.D0, 0.D0, 0.D0 /)
+      Xi = (/ 0.D0, 0.D0, 0.D0 /)
 
       IF (emOutput) THEN
         time = DBLE(t)*tauMin*ti_ref
@@ -231,9 +231,9 @@ MODULE moduleMeshOutputGmsh2
         END DO
         CALL writeGmsh2FooterNodeData(20)
         
-        CALL writeGmsh2HeaderElementData(20, 'Electric Field (V m^-1)', t, time, 3, self%numVols)
-        DO e=1, self%numVols
-          WRITE(20, *) e+self%numEdges, self%vols(e)%obj%gatherEF(xi)*EF_ref
+        CALL writeGmsh2HeaderElementData(20, 'Electric Field (V m^-1)', t, time, 3, self%numCells)
+        DO e=1, self%numCells
+          WRITE(20, *) e+self%numEdges, self%cells(e)%obj%gatherElectricField(Xi)*EF_ref
         END DO
         CALL writeGmsh2FooterElementData(20)
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 11e8bc7..d0a03f4 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -66,10 +66,10 @@ MODULE moduleMesh
 
   !Parent of Edge element
   TYPE, PUBLIC, ABSTRACT, EXTENDS(meshElement):: meshEdge
-    !Connectivity to vols
-    CLASS(meshVol), POINTER:: e1 => NULL(), e2 => NULL()
-    !Connectivity to vols in meshColl
-    CLASS(meshVol), POINTER:: eColl => NULL()
+    !Connectivity to cells
+    CLASS(meshCell), POINTER:: e1 => NULL(), e2 => NULL()
+    !Connectivity to cells in meshColl
+    CLASS(meshCell), POINTER:: eColl => NULL()
     !Normal vector
     REAL(8):: normal(1:3)
     !Weight for random injection of particles
@@ -146,8 +146,10 @@ MODULE moduleMesh
 
   END TYPE meshEdgeCont
 
-  !Parent of Volume element
-  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshElement):: meshVol
+  !Parent of cell element
+  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshElement):: meshCell
+    !Number of nodes in the cell
+    INTEGER:: nNodes
     !Maximum collision rate
     REAL(8), ALLOCATABLE:: sigmaVrelMax(:)
     !Arrays for counting number of collisions
@@ -161,114 +163,152 @@ MODULE moduleMesh
     !Total weight of particles inside cell
     REAL(8), ALLOCATABLE:: totalWeight(:)
     CONTAINS
-      PROCEDURE(initVol_interface),     DEFERRED, PASS::   init
-      PROCEDURE(getNodesVol_interface), DEFERRED, PASS::   getNodes
-      PROCEDURE(randPosVol_interface),  DEFERRED, PASS::   randPos
-      PROCEDURE(fPsi_interface),        DEFERRED, NOPASS:: fPsi
-      PROCEDURE,                                  PASS::   scatter
-      PROCEDURE(gatherEF_interface),    DEFERRED, PASS::   gatherEF
-      PROCEDURE(gatherMF_interface),    DEFERRED, PASS::   gatherMF
-      PROCEDURE(elemK_interface),       DEFERRED, PASS::   elemK
-      PROCEDURE(elemF_interface),       DEFERRED, PASS::   elemF
+      !Init the cell
+      PROCEDURE(initCell_interface), DEFERRED, PASS:: init
+      !Get the index of the nodes
+      PROCEDURE(getNodesVol_interface), DEFERRED, PASS:: getNodes
+      !Calculate random position on the cell
+      PROCEDURE(randPosVol_interface), DEFERRED, PASS:: randPos
+      !Obtain functions and values of cell natural functions
+      PROCEDURE(fPsi_interface),   DEFERRED, PASS:: fPsi
+      PROCEDURE(dPsi_interface),   DEFERRED, PASS:: dPsi
+      PROCEDURE(detJac_interface), DEFERRED, PASS:: detJac
+      PROCEDURE(invJac_interface), DEFERRED, PASS:: invJac
+      !Scatter properties of particles on cell nodes
+      PROCEDURE, PASS:: scatter
+      !Gather value and spatial derivative on the nodes at position Xi
+      PROCEDURE, PASS, PRIVATE:: gatherF_scalar
+      PROCEDURE, PASS, PRIVATE:: gatherF_array
+      PROCEDURE, PASS, PRIVATE:: gatherDF_scalar
+      GENERIC:: gatherF  => gatherF_scalar, gatherF_array
+      GENERIC:: gatherDF => gatherDF_scalar
+      !Procedures to get specific values in the node
+      PROCEDURE(gatherArray_interface), DEFERRED, PASS:: gatherElectricField
+      PROCEDURE(gatherArray_interface), DEFERRED, PASS:: gatherMagneticField
+      !Compute K and F to solve PDE on the mesh
+      PROCEDURE(elemK_interface), DEFERRED, PASS:: elemK
+      PROCEDURE(elemF_interface), DEFERRED, PASS:: elemF
+      !Subroutines to find in which cell a particle is located
       PROCEDURE,                                  PASS::   findCell
-      PROCEDURE(phy2log_interface),     DEFERRED, PASS::   phy2log
       PROCEDURE(inside_interface),      DEFERRED, NOPASS:: inside
       PROCEDURE(nextElement_interface), DEFERRED, PASS::   nextElement
+      !Convert physical coordinates (r) into logical coordinates (Xi)
+      PROCEDURE(phy2log_interface), DEFERRED, PASS:: phy2log
 
-  END TYPE meshVol
+  END TYPE meshCell
 
   ABSTRACT INTERFACE
-    SUBROUTINE initVol_interface(self, n, p, nodes)
-      IMPORT:: meshVol
+    SUBROUTINE initCell_interface(self, n, p, nodes)
+      IMPORT:: meshCell
       IMPORT meshNodeCont
-      CLASS(meshVol), INTENT(out):: self
+      CLASS(meshCell), INTENT(out):: self
       INTEGER, INTENT(in):: n
       INTEGER, INTENT(in):: p(:)
       TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
 
-    END SUBROUTINE initVol_interface
-
-    PURE FUNCTION gatherEF_interface(self, xi) RESULT(EF)
-      IMPORT:: meshVol
-      CLASS(meshVol), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: EF(1:3)
-
-    END FUNCTION gatherEF_interface
-
-    PURE FUNCTION gatherMF_interface(self, xi) RESULT(MF)
-      IMPORT:: meshVol
-      CLASS(meshVol), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: MF(1:3)
-
-    END FUNCTION gatherMF_interface
+    END SUBROUTINE initCell_interface
 
     PURE FUNCTION getNodesVol_interface(self) RESULT(n)
-      IMPORT:: meshVol
-      CLASS(meshVol), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
+      IMPORT:: meshCell
+      CLASS(meshCell), INTENT(in):: self
+      INTEGER:: n(1:self%nNodes)
 
     END FUNCTION getNodesVol_interface
 
-    PURE SUBROUTINE fPsi_interface(xi, fPsi)
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8), INTENT(out):: fPsi(:)
+    PURE FUNCTION fPsi_interface(self, Xi) RESULT(fPsi)
+      IMPORT:: meshCell
+      CLASS(meshCell), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: fPsi(1:self%nNodes)
 
-    END SUBROUTINE fPsi_interface
+    END FUNCTION fPsi_interface
+
+    PURE FUNCTION dPsi_interface(self, Xi) RESULT(dPsi)
+      IMPORT:: meshCell
+      CLASS(meshCell), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: dPsi(1:3, 1:self%nNodes)
+
+    END FUNCTION dPsi_interface
+
+    PURE FUNCTION detJac_interface(self, Xi, dPsi_in) RESULT(dJ)
+      IMPORT:: meshCell
+      CLASS(meshCell), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      REAL(8):: dJ
+
+    END FUNCTION detJac_interface
+
+    PURE FUNCTION invJac_interface(self, Xi, dPsi_in) RESULT(invJ)
+      IMPORT:: meshCell
+      CLASS(meshCell), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      REAL(8):: invJ(1:3,1:3)
+
+    END FUNCTION invJac_interface
+
+    PURE FUNCTION gatherArray_interface(self, Xi) RESULT(array)
+      IMPORT:: meshCell
+      CLASS(meshCell), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8):: array(1:3)
+
+    END FUNCTION gatherArray_interface
 
     PURE FUNCTION elemK_interface(self) RESULT(localK)
-      IMPORT:: meshVol
-      CLASS(meshVol), INTENT(in):: self
-      REAL(8), ALLOCATABLE:: localK(:,:)
+      IMPORT:: meshCell
+      CLASS(meshCell), INTENT(in):: self
+      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
 
     END FUNCTION elemK_interface
 
     PURE FUNCTION elemF_interface(self, source) RESULT(localF)
-      IMPORT:: meshVol
-      CLASS(meshVol), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:)
-      REAL(8), ALLOCATABLE:: localF(:)
+      IMPORT:: meshCell
+      CLASS(meshCell), INTENT(in):: self
+      REAL(8), INTENT(in):: source(1:self%nNodes)
+      REAL(8):: localF(1:self%nNodes)
 
     END FUNCTION elemF_interface
 
-    SUBROUTINE nextElement_interface(self, xi, nextElement)
-      IMPORT:: meshVol, meshElement
-      CLASS(meshVol), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+    SUBROUTINE nextElement_interface(self, Xi, nextElement)
+      IMPORT:: meshCell, meshElement
+      CLASS(meshCell), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
       CLASS(meshElement), POINTER, INTENT(out):: nextElement
 
     END SUBROUTINE nextElement_interface
 
-    PURE FUNCTION phy2log_interface(self,r) RESULT(xN) 
-      IMPORT:: meshVol
-      CLASS(meshVol), INTENT(in):: self
+    PURE FUNCTION phy2log_interface(self,r) RESULT(Xi) 
+      IMPORT:: meshCell
+      CLASS(meshCell), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
-      REAL(8):: xN(1:3)
+      REAL(8):: Xi(1:3)
 
     END FUNCTION phy2log_interface
 
-    PURE FUNCTION inside_interface(xi) RESULT(ins)
-      IMPORT:: meshVol
-      REAL(8), INTENT(in):: xi(1:3)
+    PURE FUNCTION inside_interface(Xi) RESULT(ins)
+      IMPORT:: meshCell
+      REAL(8), INTENT(in):: Xi(1:3)
       LOGICAL:: ins
 
     END FUNCTION inside_interface
 
     FUNCTION randPosVol_interface(self) RESULT(r)
-      IMPORT:: meshVol
-      CLASS(meshVol), INTENT(in):: self
+      IMPORT:: meshCell
+      CLASS(meshCell), INTENT(in):: self
       REAL(8):: r(1:3)
 
     END FUNCTION randPosVol_interface
 
   END INTERFACE
 
-  !Containers for volumes in the mesh
-  TYPE:: meshVolCont
-    CLASS(meshVol), ALLOCATABLE:: obj
+  !Containers for cells in the mesh
+  TYPE:: meshCellCont
+    CLASS(meshCell), ALLOCATABLE:: obj
 
-  END TYPE meshVolCont
+  END TYPE meshCellCont
 
   !Generic mesh type
   TYPE, ABSTRACT:: meshGeneric
@@ -277,11 +317,11 @@ MODULE moduleMesh
     !Geometry of the mesh
     CHARACTER(:), ALLOCATABLE:: geometry
     !Number of elements
-    INTEGER:: numNodes, numVols
+    INTEGER:: numNodes, numCells
     !Array of nodes
     TYPE(meshNodeCont), ALLOCATABLE:: nodes(:)
-    !Array of volume elements
-    TYPE(meshVolCont),  ALLOCATABLE:: vols(:)
+    !Array of cell elements
+    TYPE(meshCellCont),  ALLOCATABLE:: cells(:)
     PROCEDURE(readMesh_interface),     POINTER, PASS::   readMesh     => NULL()
     PROCEDURE(readInitial_interface),  POINTER, NOPASS:: readInitial  => NULL()
     PROCEDURE(connectMesh_interface),  POINTER, PASS::   connectMesh  => NULL()
@@ -310,7 +350,7 @@ MODULE moduleMesh
 
     END SUBROUTINE readInitial_interface
 
-    !Connects volume and edges to the mesh
+    !Connects cell and edges to the mesh
     SUBROUTINE connectMesh_interface(self)
       IMPORT meshGeneric
 
@@ -318,7 +358,7 @@ MODULE moduleMesh
 
     END SUBROUTINE connectMesh_interface
 
-    !Prints number of collisions in each volume
+    !Prints number of collisions in each cell
     SUBROUTINE printColl_interface(self, t)
       IMPORT meshGeneric
 
@@ -416,7 +456,7 @@ MODULE moduleMesh
   !Pointer to mesh used for MC collisions
   CLASS(meshGeneric), POINTER:: meshForMCC => NULL()
 
-  !Procedure to find a volume for a particle in meshColl
+  !Procedure to find a cell for a particle in meshColl
   PROCEDURE(findCellColl_interface), POINTER:: findCellColl => NULL()
 
   ABSTRACT INTERFACE
@@ -445,9 +485,9 @@ MODULE moduleMesh
       REAL(8), ALLOCATABLE:: localK(:,:)
       INTEGER:: nNodes, i, j
 
-      DO e = 1, self%numVols
-        n      = self%vols(e)%obj%getNodes()
-        localK = self%vols(e)%obj%elemK()
+      DO e = 1, self%numCells
+        n      = self%cells(e)%obj%getNodes()
+        localK = self%cells(e)%obj%elemK()
         nNodes = SIZE(n)
 
         DO i = 1, nNodes
@@ -480,33 +520,84 @@ MODULE moduleMesh
 
     END SUBROUTINE resetOutput
 
-    !Scatters particle properties into vol nodes
+    !Gather the value of valNodes (scalar) at position Xi
+    PURE FUNCTION gatherF_scalar(self, Xi, valNodes) RESULT(f)
+      IMPLICIT NONE
+
+      CLASS(meshCell), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8), INTENT(in):: valNodes(1:self%nNodes)
+      REAL(8):: f
+      REAL(8):: fPsi(1:self%nNodes)
+
+      fPsi = self%fPsi(Xi)
+      f = DOT_PRODUCT(fPsi, valNodes)
+
+    END FUNCTION gatherF_scalar
+
+    !Gather the value of valNodes (array) at position Xi
+    PURE FUNCTION gatherF_array(self, Xi, n, valNodes) RESULT(f)
+      IMPLICIT NONE
+
+      CLASS(meshCell), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      INTEGER, INTENT(in):: n
+      REAL(8), INTENT(in):: valNodes(1:self%nNodes, 1:n)
+      REAL(8):: f(1:n)
+      REAL(8):: fPsi(1:self%nNodes)
+
+      fPsi = self%fPsi(Xi)
+      f = MATMUL(fPsi, valNodes)
+
+    END FUNCTION gatherF_array
+
+    !Gather the spatial derivative of valNodes (scalar) at position Xi
+    PURE FUNCTION gatherDF_scalar(self, Xi, valNodes) RESULT(df)
+      IMPLICIT NONE
+
+      CLASS(meshCell), INTENT(in):: self
+      REAL(8), INTENT(in):: Xi(1:3)
+      REAL(8), INTENT(in):: valNodes(1:self%nNodes)
+      REAL(8):: df(1:3)
+      REAL(8):: dPsi(1:3, 1:self%nNodes)
+      REAL(8):: dPsiR(1:3, 1:self%nNodes)
+      REAL(8):: invJ(1:3, 1:3), detJ
+
+      dPsi  = self%dPsi(Xi)
+      detJ  = self%detJac(Xi, dPsi)
+      invJ  = self%invJac(Xi, dPsi)
+      dPsiR =  MATMUL(invJ, dPsi)/detJ
+      df    = (/ DOT_PRODUCT(dPsiR(1,:), valNodes), &
+                 DOT_PRODUCT(dPsiR(2,:), valNodes), &
+                 DOT_PRODUCT(dPsiR(3,:), valNodes) /)
+
+    END FUNCTION gatherDF_scalar
+
+    !Scatters particle properties into cell nodes
     SUBROUTINE scatter(self, part)
       USE moduleMath
       USE moduleSpecies
       USE OMP_LIB
       IMPLICIT NONE
 
-      CLASS(meshVol), INTENT(inout):: self
+      CLASS(meshCell), INTENT(inout):: self
       CLASS(particle), INTENT(in):: part
-      REAL(8), ALLOCATABLE:: fPsi(:)
-      INTEGER, ALLOCATABLE:: volNodes(:)
+      REAL(8):: fPsi(1:self%nNodes)
+      INTEGER:: cellNodes(1:self%nNodes)
       REAL(8):: tensorS(1:3, 1:3)
       INTEGER:: sp
-      INTEGER:: i, nNodes
+      INTEGER:: i
       CLASS(meshNode), POINTER:: node
 
-      volNodes = self%getNodes()
-      nNodes = SIZE(volNodes)
-      ALLOCATE(fPsi(1:nNodes))
-      CALL self%fPsi(part%xi, fPsi)
+      cellNodes = self%getNodes()
+      fPsi = self%fPsi(part%Xi)
 
       tensorS = outerProduct(part%v, part%v)
 
       sp = part%species%n
       
-      DO i = 1, nNodes
-        node => mesh%nodes(volNodes(i))%obj
+      DO i = 1, self%nNodes
+        node => mesh%nodes(cellNodes(i))%obj
         CALL OMP_SET_LOCK(node%lock)
         node%output(sp)%den          = node%output(sp)%den          + part%weight*fPsi(i)
         node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*fPsi(i)*part%v(:)
@@ -524,18 +615,18 @@ MODULE moduleMesh
       USE OMP_LIB
       IMPLICIT NONE
 
-      CLASS(meshVol), INTENT(inout):: self
+      CLASS(meshCell), INTENT(inout):: self
       CLASS(particle), INTENT(inout), TARGET:: part
-      CLASS(meshVol), OPTIONAL, INTENT(in):: oldCell
-      REAL(8):: xi(1:3)
+      CLASS(meshCell), OPTIONAL, INTENT(in):: oldCell
+      REAL(8):: Xi(1:3)
       CLASS(meshElement), POINTER:: nextElement
       INTEGER:: sp
 
-      xi = self%phy2log(part%r)
+      Xi = self%phy2log(part%r)
       !Checks if particle is inside 'self' cell
-      IF (self%inside(xi)) THEN
+      IF (self%inside(Xi)) THEN
         part%vol  = self%n
-        part%xi   = xi
+        part%Xi   = Xi
         part%n_in = .TRUE.
         !Assign particle to listPart_in
         CALL OMP_SET_LOCK(self%lock)
@@ -546,10 +637,10 @@ MODULE moduleMesh
 
       ELSE
         !If not, searches for a neighbour and repeats the process.
-        CALL self%nextElement(xi, nextElement)
+        CALL self%nextElement(Xi, nextElement)
         !Defines the next step
         SELECT TYPE(nextElement)
-        CLASS IS(meshVol)
+        CLASS IS(meshCell)
           !Particle moved to new cell, repeat find procedure
           CALL nextElement%findCell(part, self)
 
@@ -598,31 +689,31 @@ MODULE moduleMesh
 
       TYPE(particle), INTENT(inout):: part
       LOGICAL:: found
-      CLASS(meshVol), POINTER:: vol
-      REAL(8), DIMENSION(1:3):: xii
+      CLASS(meshCell), POINTER:: cell
+      REAL(8), DIMENSION(1:3):: Xi
       CLASS(meshElement), POINTER:: nextElement
       INTEGER:: sp
 
       found = .FALSE.
       
-      vol => meshColl%vols(part%volColl)%obj
+      cell => meshColl%cells(part%volColl)%obj
       DO WHILE(.NOT. found)
-        xii = vol%phy2log(part%r)
-        IF (vol%inside(xii)) THEN
-          part%volColl = vol%n
-          CALL OMP_SET_LOCK(vol%lock)
+        Xi = cell%phy2log(part%r)
+        IF (cell%inside(Xi)) THEN
+          part%volColl = cell%n
+          CALL OMP_SET_LOCK(cell%lock)
           sp = part%species%n
-          CALL vol%listPart_in(sp)%add(part)
-          vol%totalWeight(sp) = vol%totalWeight(sp) + part%weight
-          CALL OMP_UNSET_LOCK(vol%lock)
+          CALL cell%listPart_in(sp)%add(part)
+          cell%totalWeight(sp) = cell%totalWeight(sp) + part%weight
+          CALL OMP_UNSET_LOCK(cell%lock)
           found = .TRUE.
 
         ELSE
-          CALL vol%nextElement(xii, nextElement)
+          CALL cell%nextElement(Xi, nextElement)
           SELECT TYPE(nextElement)
-          CLASS IS(meshVol)
+          CLASS IS(meshCell)
             !Try next element
-            vol => nextElement
+            cell => nextElement
 
           CLASS DEFAULT
             !Should never happend, but just in case, stops loops
@@ -647,15 +738,15 @@ MODULE moduleMesh
       REAL(8), DIMENSION(1:3), INTENT(in):: r
       INTEGER:: nVol
       INTEGER:: e
-      REAL(8), DIMENSION(1:3):: xii
+      REAL(8), DIMENSION(1:3):: Xi
 
       !Inits RESULT
       nVol = 0
 
-      DO e = 1, self%numVols
-        xii = self%vols(e)%obj%phy2log(r)
-        IF(self%vols(e)%obj%inside(xii)) THEN
-          nVol = self%vols(e)%obj%n
+      DO e = 1, self%numCells
+        Xi = self%cells(e)%obj%phy2log(r)
+        IF(self%cells(e)%obj%inside(Xi)) THEN
+          nVol = self%cells(e)%obj%n
           EXIT
 
         END IF
@@ -678,7 +769,7 @@ MODULE moduleMesh
       CLASS(meshGeneric), INTENT(inout), TARGET:: self
       INTEGER, INTENT(in):: t
       INTEGER:: e
-      CLASS(meshVol), POINTER:: vol
+      CLASS(meshCell), POINTER:: cell
       INTEGER:: k, i, j
       INTEGER:: nPart_i, nPart_j, nPart!Number of particles inside the cell
       REAL(8):: pMax !Maximum probability of collision
@@ -689,21 +780,22 @@ MODULE moduleMesh
       REAL(8):: vRel, rMass, eRel
       REAL(8):: sigmaVrelTotal
       REAL(8), ALLOCATABLE:: sigmaVrel(:), probabilityColl(:)
-      REAL(8):: rnd !Random number for collision
+      REAL(8):: rnd_real !Random number for collision
+      INTEGER:: rnd_int  !Random number for collision
 
       IF (MOD(t, everyColl) == 0) THEN
         !Collisions need to be performed in this iteration
         !$OMP DO SCHEDULE(DYNAMIC) PRIVATE(part_i, part_j, partTemp_i, partTemp_j)
-        DO e=1, self%numVols
+        DO e=1, self%numCells
 
-          vol => self%vols(e)%obj
+          cell => self%cells(e)%obj
 
           !TODO: Simplify this, to many sublevels
           !Iterate over the number of pairs
           DO k = 1, nCollPairs
             !Reset tally of collisions
             IF (collOutput) THEN
-              vol%tallyColl(k)%tally = 0
+              cell%tallyColl(k)%tally = 0
 
             END IF
 
@@ -713,8 +805,8 @@ MODULE moduleMesh
               j = interactionMatrix(k)%sp_j%n
 
               !Number of particles per species in the collision pair
-              nPart_i = vol%listPart_in(i)%amount
-              nPart_j = vol%listPart_in(j)%amount
+              nPart_i = cell%listPart_in(i)%amount
+              nPart_j = cell%listPart_in(j)%amount
 
               IF (nPart_i > 0 .AND. nPart_j > 0) THEN
                 !Total number of particles for the collision pair
@@ -724,15 +816,15 @@ MODULE moduleMesh
                 nColl = 0
 
                 !Probability of collision for pair i-j
-                pMax = (vol%totalWeight(i) + vol%totalWeight(j))*vol%sigmaVrelMax(k)*tauColl/vol%volume
+                pMax = (cell%totalWeight(i) + cell%totalWeight(j))*cell%sigmaVrelMax(k)*tauColl/cell%volume
 
                 !Number of collisions in the cell
                 nColl = NINT(REAL(nPart)*pMax*0.5D0)
 
                 !Converts the list of particles to an array for easy access
                 IF (nColl > 0) THEN
-                  partTemp_i = vol%listPart_in(i)%convert2Array()
-                  partTemp_j = vol%listPart_in(j)%convert2Array()
+                  partTemp_i = cell%listPart_in(i)%convert2Array()
+                  partTemp_j = cell%listPart_in(j)%convert2Array()
 
                 END IF
 
@@ -740,10 +832,10 @@ MODULE moduleMesh
                   !Select random particles
                   part_i => NULL()
                   part_j => NULL()
-                  rnd = random(1, nPart_i)
-                  part_i => partTemp_i(rnd)%part
-                  rnd = random(1, nPart_j)
-                  part_j => partTemp_j(rnd)%part
+                  rnd_int = random(1, nPart_i)
+                  part_i => partTemp_i(rnd_int)%part
+                  rnd_int = random(1, nPart_j)
+                  part_j => partTemp_j(rnd_int)%part
                   !If they are the same particle, skip
                   !TODO: Maybe try to improve this
                   IF (ASSOCIATED(part_i, part_j)) THEN
@@ -767,32 +859,32 @@ MODULE moduleMesh
                   CALL interactionMatrix(k)%getSigmaVrel(vRel, eRel, sigmaVrelTotal, sigmaVrel)
 
                   !Update maximum sigma*v_rel
-                  IF (sigmaVrelTotal > vol%sigmaVrelMax(k)) THEN
-                    vol%sigmaVrelMax(k) = sigmaVrelTotal
+                  IF (sigmaVrelTotal > cell%sigmaVrelMax(k)) THEN
+                    cell%sigmaVrelMax(k) = sigmaVrelTotal
 
                   END IF
 
                   ALLOCATE(probabilityColl(0:interactionMatrix(k)%amount))
                   probabilityColl = 0.0
                   DO c = 1, interactionMatrix(k)%amount
-                    probabilityColl(c) = sigmaVrel(c)/vol%sigmaVrelMax(k) + SUM(probabilityColl(0:c-1))
+                    probabilityColl(c) = sigmaVrel(c)/cell%sigmaVrelMax(k) + SUM(probabilityColl(0:c-1))
 
                   END DO
 
                   !Selects random number between 0 and 1
-                  rnd = random()
+                  rnd_real = random()
 
                   !If the random number is below the total probability of collision, collide particles
-                  IF (rnd < sigmaVrelTotal / vol%sigmaVrelMax(k)) THEN
+                  IF (rnd_real < sigmaVrelTotal / cell%sigmaVrelMax(k)) THEN
 
                     !Loop over collisions
                     DO c = 1, interactionMatrix(k)%amount
-                      IF (rnd <= probabilityColl(c)) THEN
+                      IF (rnd_real <= probabilityColl(c)) THEN
                         CALL interactionMatrix(k)%collisions(c)%obj%collide(part_i, part_j, vRel)
 
                         !If collisions are gonna be output, count the collision
                         IF (collOutput) THEN
-                          vol%tallyColl(k)%tally(c) = vol%tallyColl(k)%tally(c) + 1
+                          cell%tallyColl(k)%tally(c) = cell%tallyColl(k)%tally(c) + 1
 
                         END IF
 
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 2e15c5c..cc5d78c 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -1,4 +1,4 @@
-!moduleMeshBoundary: Boundary functions
+!moduleMeshBoundary: Boundary functions for the mesh edges
 MODULE moduleMeshBoundary
   USE moduleMesh
 
@@ -159,7 +159,7 @@ MODULE moduleMeshBoundary
             newElectron%vol = part%vol
             newIon%vol      = part%vol
 
-            newElectron%xi = mesh%vols(part%vol)%obj%phy2log(newElectron%r)
+            newElectron%xi = mesh%cells(part%vol)%obj%phy2log(newElectron%r)
             newIon%xi      = newElectron%xi
 
             newElectron%weight = part%weight
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index ba1edfd..224bfbb 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -439,7 +439,6 @@ MODULE moduleCollisions
       REAL(8), INTENT(in):: vRel
       TYPE(particle), INTENT(inout), TARGET:: part_i, part_j
       TYPE(particle), POINTER:: electron => NULL(), ion => NULL()
-      REAL(8):: sigmaVrel
       REAL(8), DIMENSION(1:3):: vp_i
       TYPE(particle), POINTER:: remainingIon => NULL()
 
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 6b8c7a0..050ad52 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -132,7 +132,7 @@ MODULE moduleInject
           IF (doubleMesh) THEN
             nVolColl = findCellBrute(meshColl, mesh%edges(e)%obj%randPos())
             IF (nVolColl > 0) THEN
-              mesh%edges(e)%obj%eColl => meshColl%vols(nVolColl)%obj
+              mesh%edges(e)%obj%eColl => meshColl%cells(nVolColl)%obj
 
             ELSE
               CALL criticalError("No connection between edge and meshColl", "initInject")
@@ -305,7 +305,7 @@ MODULE moduleInject
                           self%v(3)%obj%randomVel() /)
 
         !Obtain natural coordinates of particle in cell
-        partInj(n)%xi = mesh%vols(partInj(n)%vol)%obj%phy2log(partInj(n)%r)
+        partInj(n)%Xi = mesh%cells(partInj(n)%vol)%obj%phy2log(partInj(n)%r)
         !Push new particle with the minimum time step
         CALL solver%pusher(sp)%pushParticle(partInj(n), tau(sp))
         !Assign cell to new particle
diff --git a/src/modules/solver/electromagnetic/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
index ae73ebc..55eb618 100644
--- a/src/modules/solver/electromagnetic/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -46,40 +46,6 @@ MODULE moduleEM
 
     END SUBROUTINE
 
-    PURE FUNCTION gatherElecField(part) RESULT(elField)
-      USE moduleSpecies
-      USE moduleMesh
-      IMPLICIT NONE
-
-      TYPE(particle), INTENT(in):: part
-      REAl(8):: xi(1:3) !Logical coordinates of particle in element
-      REAL(8):: elField(1:3)
-
-      elField = 0.D0
-
-      xi  = part%xi
-
-      elField = mesh%vols(part%vol)%obj%gatherEF(xi)
-
-    END FUNCTION gatherElecField
-
-    PURE FUNCTION gatherMagnField(part) RESULT(BField)
-      USE moduleSpecies
-      USE moduleMesh
-      IMPLICIT NONE
-
-      TYPE(particle), INTENT(in):: part
-      REAl(8):: xi(1:3) !Logical coordinates of particle in element
-      REAL(8):: BField(1:3)
-
-      BField = 0.D0
-
-      xi  = part%xi
-
-      BField = mesh%vols(part%vol)%obj%gatherMF(xi)
-
-    END FUNCTION gatherMagnField
-
     !Assemble the source vector based on the charge density to solve Poisson's equation
     SUBROUTINE assembleSourceVector(vectorF)
       USE moduleMesh
@@ -99,8 +65,8 @@ MODULE moduleEM
       !$OMP END SINGLE
 
       !$OMP DO REDUCTION(+:vectorF)
-      DO e = 1, mesh%numVols
-        nodes  = mesh%vols(e)%obj%getNodes()
+      DO e = 1, mesh%numCells
+        nodes  = mesh%cells(e)%obj%getNodes()
         nNodes = SIZE(nodes)
         !Calculates charge density (rho) in element nodes
         ALLOCATE(rho(1:nNodes))
@@ -113,7 +79,7 @@ MODULE moduleEM
         END DO
 
         !Calculates local F vector
-        localF = mesh%vols(e)%obj%elemF(rho)
+        localF = mesh%cells(e)%obj%elemF(rho)
 
         !Assign local F to global F
         DO i = 1, nNodes
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index 135b08f..6962075 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -49,8 +49,8 @@ MODULE moduleSolver
       IMPLICIT NONE
 
       TYPE(particle), INTENT(inout):: part
-      CLASS(meshVol), POINTER, INTENT(in):: volOld
-      CLASS(meshVol), POINTER, INTENT(inout):: volNew
+      CLASS(meshCell), POINTER, INTENT(in):: volOld
+      CLASS(meshCell), POINTER, INTENT(inout):: volNew
 
     END SUBROUTINE weightingScheme_interface
 
@@ -314,10 +314,10 @@ MODULE moduleSolver
       !$OMP SECTION
       !Erase the list of particles inside the cell if particles have been pushed
       DO s = 1, nSpecies
-        DO e = 1, mesh%numVols
+        DO e = 1, mesh%numCells
           IF (solver%pusher(s)%pushSpecies) THEN 
-            CALL mesh%vols(e)%obj%listPart_in(s)%erase()
-            mesh%vols(e)%obj%totalWeight(s) = 0.D0
+            CALL mesh%cells(e)%obj%listPart_in(s)%erase()
+            mesh%cells(e)%obj%totalWeight(s) = 0.D0
 
           END IF
 
@@ -328,10 +328,10 @@ MODULE moduleSolver
       !$OMP SECTION
       !Erase the list of particles inside the cell in coll mesh
       DO s = 1, nSpecies
-        DO e = 1, meshColl%numVols
+        DO e = 1, meshColl%numCells
           IF (solver%pusher(s)%pushSpecies) THEN 
-            CALL meshColl%vols(e)%obj%listPart_in(s)%erase()
-            meshColl%vols(e)%obj%totalWeight(s) = 0.D0
+            CALL meshColl%cells(e)%obj%listPart_in(s)%erase()
+            meshColl%cells(e)%obj%totalWeight(s) = 0.D0
 
           END IF
 
@@ -358,7 +358,7 @@ MODULE moduleSolver
       !Loops over the particles to scatter them
       !$OMP DO
       DO n = 1, nPartOld
-        CALL mesh%vols(partOld(n)%vol)%obj%scatter(partOld(n))
+        CALL mesh%cells(partOld(n)%vol)%obj%scatter(partOld(n))
 
       END DO
       !$OMP END DO
@@ -383,8 +383,8 @@ MODULE moduleSolver
       IMPLICIT NONE
 
       TYPE(particle), INTENT(inout):: part
-      CLASS(meshVol), POINTER, INTENT(in):: volOld
-      CLASS(meshVol), POINTER, INTENT(inout):: volNew
+      CLASS(meshCell), POINTER, INTENT(in):: volOld
+      CLASS(meshCell), POINTER, INTENT(inout):: volNew
       REAL(8):: fractionVolume, pSplit
 
       !If particle changes volume to smaller cell
@@ -416,7 +416,7 @@ MODULE moduleSolver
 
       TYPE(particle), INTENT(inout):: part
       INTEGER, INTENT(in):: nSplit
-      CLASS(meshVol), INTENT(inout):: vol
+      CLASS(meshCell), INTENT(inout):: vol
       REAL(8):: newWeight
       TYPE(particle), POINTER:: newPart
       INTEGER:: p
@@ -454,15 +454,15 @@ MODULE moduleSolver
 
       CLASS(solverGeneric), INTENT(in):: self
       TYPE(particle), INTENT(inout):: part
-      CLASS(meshVol), POINTER:: volOld, volNew
+      CLASS(meshCell), POINTER:: volOld, volNew
 
       !Assume that particle is outside the domain
       part%n_in = .FALSE.
 
-      volOld => mesh%vols(part%vol)%obj
+      volOld => mesh%cells(part%vol)%obj
       CALL volOld%findCell(part)
       CALL findCellColl(part)
-      volNew => mesh%vols(part%vol)%obj
+      volNew => mesh%cells(part%vol)%obj
       !Call the NA shcme
       IF (ASSOCIATED(self%weightingScheme)) THEN
         CALL self%weightingScheme(part, volOld, volNew)
diff --git a/src/modules/solver/pusher/modulePusher.f90 b/src/modules/solver/pusher/modulePusher.f90
index 69fcaab..c2aa46a 100644
--- a/src/modules/solver/pusher/modulePusher.f90
+++ b/src/modules/solver/pusher/modulePusher.f90
@@ -15,7 +15,7 @@ MODULE modulePusher
 
     PURE SUBROUTINE pushCartElectrostatic(part, tauIn)
       USE moduleSPecies
-      USE moduleEM
+      USE moduleMesh
       IMPLICIT NONE
 
       TYPE(particle), INTENT(inout):: part
@@ -23,7 +23,8 @@ MODULE modulePusher
       REAL(8):: qmEFt(1:3)
 
       !Get the electric field at particle position
-      qmEFt = part%species%qm*gatherElecField(part)*tauIn
+      qmEFT = mesh%cells(part%vol)%obj%gatherElectricField(part%Xi)
+      qmEFt = qmEFt*part%species%qm*tauMin
 
       !Update velocity
       part%v = part%v + qmEFt
@@ -34,8 +35,8 @@ MODULE modulePusher
     END SUBROUTINE pushCartElectrostatic
 
     PURE SUBROUTINE pushCartElectromagnetic(part, tauIn)
-      USE moduleSPecies
-      USE moduleEM
+      USE moduleSpecies
+      USE moduleMesh
       USE moduleMath
       IMPLICIT NONE
 
@@ -49,13 +50,14 @@ MODULE modulePusher
 
       tauInHalf = tauIn *0.5D0
       !Half of the force o f the electric field
-      qmEFt = part%species%qm*gatherElecField(part)*tauInHalf
+      qmEFT = mesh%cells(part%vol)%obj%gatherElectricField(part%Xi)
+      qmEFt = qmEFt*part%species%qm*tauInHalf
 
       !Half step for electrostatic
       v_minus = part%v + qmEFt
 
       !Full step rotation
-      B = gatherMagnField(part)
+      B = mesh%cells(part%vol)%obj%gatherMagneticField(part%Xi)
       BNorm = NORM2(B)
       IF (BNorm > 0.D0) THEN
         fn = DTAN(part%species%qm * tauInHalf*BNorm) / BNorm
@@ -112,7 +114,7 @@ MODULE modulePusher
     !Push one particle. Boris pusher for 2D Cyl Electrostatic particle
     PURE SUBROUTINE push2DCylElectrostatic(part, tauIn)
       USE moduleSpecies
-      USE moduleEM
+      USE moduleMesh
       IMPLICIT NONE
 
       TYPE(particle), INTENT(inout):: part
@@ -124,7 +126,8 @@ MODULE modulePusher
 
       part_temp = part
       !Get electric field at particle position
-      qmEFt = part_temp%species%qm*gatherElecField(part_temp)*tauIn
+      qmEFT = mesh%cells(part_temp%vol)%obj%gatherElectricField(part_temp%Xi)
+      qmEFt = qmEFt*part_temp%species%qm*tauMin
       !z
       part_temp%v(1) = part%v(1) + qmEFt(1)
       part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
@@ -153,7 +156,6 @@ MODULE modulePusher
     !Push one particle. Boris pusher for 1D Radial Neutral particle
     PURE SUBROUTINE push1DRadNeutral(part, tauIn)
       USE moduleSpecies
-      USE moduleEM
       IMPLICIT NONE
 
       TYPE(particle), INTENT(inout):: part
@@ -188,7 +190,7 @@ MODULE modulePusher
     !Push one particle. Boris pusher for 1D Radial Electrostatic particle
     PURE SUBROUTINE push1DRadElectrostatic(part, tauIn)
       USE moduleSpecies
-      USE moduleEM
+      USE moduleMesh
       IMPLICIT NONE
 
       TYPE(particle), INTENT(inout):: part
@@ -200,7 +202,8 @@ MODULE modulePusher
 
       part_temp = part
       !Get electric field at particle position
-      qmEFt = part_temp%species%qm*gatherElecField(part_temp)*tauMin
+      qmEFT = mesh%cells(part_temp%vol)%obj%gatherElectricField(part_temp%Xi)
+      qmEFt = qmEFt*part_temp%species%qm*tauMin
       !r,theta
       v_p_oh_star(1) = part%v(1) + qmEFt(1)
       x_new = part%r(1) + v_p_oh_star(1)*tauIn
@@ -226,7 +229,6 @@ MODULE modulePusher
     !Dummy pusher for 0D geometry
     PURE SUBROUTINE push0D(part, tauIn)
       USE moduleSpecies
-      USE moduleEM
       IMPLICIT NONE
 
       TYPE(particle), INTENT(inout):: part

From 26bd73597dacfb93332a93f55f08c2cbdfea8f6e Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Thu, 5 Jan 2023 18:47:33 +0100
Subject: [PATCH 072/203] Small improvement for 2DCyl

Nothing important, but overhead in dPsi has been reduced.
---
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 199 +++++++-----------
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   | 203 +++++++------------
 2 files changed, 153 insertions(+), 249 deletions(-)

diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 13c5901..e7c6e6f 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -65,14 +65,13 @@ MODULE moduleMesh2DCart
     !Connectivity to adjacent elements
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
     REAL(8):: arNodes(1:4) = 0.D0
+
     CONTAINS
       PROCEDURE, PASS::   init        => initCellQuad2DCart
       PROCEDURE, PASS::   randPos     => randPosCellQuad
       PROCEDURE, PASS::   area        => areaQuad
-      PROCEDURE, PASS:: fPsi        => fPsiQuad
-      PROCEDURE, PASS:: dPsi        => dPsiQuad
-      PROCEDURE, NOPASS, PRIVATE:: dPsiXi1     => dPsiQuadXi1
-      PROCEDURE, NOPASS, PRIVATE:: dPsiXi2     => dPsiQuadXi2
+      PROCEDURE, PASS::   fPsi        => fPsiQuad
+      PROCEDURE, PASS::   dPsi        => dPsiQuad
       PROCEDURE, PASS, PRIVATE::   partialDer  => partialDerQuad
       PROCEDURE, PASS::   elemK       => elemKQuad
       PROCEDURE, PASS::   elemF       => elemFQuad
@@ -99,11 +98,9 @@ MODULE moduleMesh2DCart
       PROCEDURE, PASS::   init        => initCellTria2DCart
       PROCEDURE, PASS::   randPos     => randPosCellTria
       PROCEDURE, PASS::   area        => areaTria
-      PROCEDURE, PASS:: fPsi        => fPsiTria
-      PROCEDURE, PASS:: dPsi        => dPsiTria
-      PROCEDURE, NOPASS:: dPsiXi1     => dPsiTriaXi1
-      PROCEDURE, NOPASS:: dPsiXi2     => dPsiTriaXi2
-      PROCEDURE, PASS::   partialDer  => partialDerTria
+      PROCEDURE, PASS::   fPsi        => fPsiTria
+      PROCEDURE, PASS::   dPsi        => dPsiTria
+      PROCEDURE, PASS, PRIVATE::   partialDer  => partialDerTria
       PROCEDURE, PASS::   elemK       => elemKTria
       PROCEDURE, PASS::   elemF       => elemFTria
       PROCEDURE, PASS:: gatherElectricField => gatherEFTria
@@ -196,28 +193,6 @@ MODULE moduleMesh2DCart
 
     END SUBROUTINE initEdge2DCart
 
-    !Random position in quadrilateral volume
-    FUNCTION randPosCellQuad(self) RESULT(r)
-      USE moduleRandom
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCartQuad), INTENT(in):: self
-      REAL(8):: r(1:3)
-      REAL(8):: Xi(1:3)
-      REAL(8):: fPsi(1:4)
-
-      Xi(1) = random(-1.D0, 1.D0)
-      Xi(2) = random(-1.D0, 1.D0)
-      Xi(3) = 0.D0
-
-      fPsi = self%fPsi(Xi)
-
-      r(1) = DOT_PRODUCT(fPsi, self%x)
-      r(2) = DOT_PRODUCT(fPsi, self%y)
-      r(3) = 0.D0
-
-    END FUNCTION randposCellQuad
-
     !Get nodes from edge
     PURE FUNCTION getNodes2DCart(self) RESULT(n)
       IMPLICIT NONE
@@ -225,6 +200,7 @@ MODULE moduleMesh2DCart
       CLASS(meshEdge2DCart), INTENT(in):: self
       INTEGER, ALLOCATABLE:: n(:)
 
+      ALLOCATE(n(1:2))
       n = (/self%n1%n, self%n2%n /)
 
     END FUNCTION getNodes2DCart
@@ -354,41 +330,21 @@ MODULE moduleMesh2DCart
 
       dPsi = 0.D0
 
-      dPsi(1,:) = dPsiQuadXi1(Xi(2))
-      dPsi(2,:) = dPsiQuadXi2(Xi(1))
+      dPsi(1,:) = (/ -(1.D0 - Xi(2)), &
+                      (1.D0 - Xi(2)), &
+                      (1.D0 + Xi(2)), &
+                     -(1.D0 + Xi(2)) /)
+
+      dPsi(2,:) = (/ -(1.D0 - Xi(1)), &
+                     -(1.D0 + Xi(1)), &
+                      (1.D0 + Xi(1)), &
+                      (1.D0 - Xi(1)) /)
+
+      dPsi = dPsi * 0.25D0
 
     END FUNCTION dPsiQuad
 
-    !Derivative element function (Xi1)
-    PURE FUNCTION dPsiQuadXi1(Xi2) RESULT(dPsiXi1) 
-      IMPLICIT NONE
-
-      REAL(8),INTENT(in):: Xi2
-      REAL(8):: dPsiXi1(1:4)
-
-      dPsiXi1(1) = -(1.D0-Xi2)
-      dPsiXi1(2) =  (1.D0-Xi2)
-      dPsiXi1(3) =  (1.D0+Xi2)
-      dPsiXi1(4) = -(1.D0+Xi2)
-      dPsiXi1    = dPsiXi1*0.25D0
-      
-    END FUNCTION dPsiQuadXi1
-
-    !Derivative element function (Xi2)
-    PURE FUNCTION dPsiQuadXi2(Xi1) RESULT(dPsiXi2) 
-      IMPLICIT NONE
-
-      REAL(8),INTENT(in):: Xi1
-      REAL(8):: dPsiXi2(1:4)
-
-      dPsiXi2(1) = -(1.D0-Xi1)
-      dPsiXi2(2) = -(1.D0+Xi1)
-      dPsiXi2(3) =  (1.D0+Xi1)
-      dPsiXi2(4) =  (1.D0-Xi1)
-      dPsiXi2    = dPsiXi2*0.25D0
-
-    END FUNCTION dPsiQuadXi2
-
+    !Partial derivative in global coordinates
     PURE SUBROUTINE partialDerQuad(self, dPsi, dx, dy)
       IMPLICIT NONE
 
@@ -396,13 +352,35 @@ MODULE moduleMesh2DCart
       REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dx, dy
 
-      dx(1) = DOT_PRODUCT(dPsi(1,:),self%x)
-      dx(2) = DOT_PRODUCT(dPsi(2,:),self%x)
-      dy(1) = DOT_PRODUCT(dPsi(1,:),self%y)
-      dy(2) = DOT_PRODUCT(dPsi(2,:),self%y)
+      dx = (/ DOT_PRODUCT(dPsi(1,1:4),self%x(1:4)), &
+              DOT_PRODUCT(dPsi(2,1:4),self%x(1:4)) /)
+      dy = (/ DOT_PRODUCT(dPsi(1,1:4),self%y(1:4)), &
+              DOT_PRODUCT(dPsi(2,1:4),self%y(1:4)) /)
 
     END SUBROUTINE partialDerQuad
 
+    !Random position in quadrilateral volume
+    FUNCTION randPosCellQuad(self) RESULT(r)
+      USE moduleRandom
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCartQuad), INTENT(in):: self
+      REAL(8):: r(1:3)
+      REAL(8):: Xi(1:3)
+      REAL(8):: fPsi(1:4)
+
+      Xi(1) = random(-1.D0, 1.D0)
+      Xi(2) = random(-1.D0, 1.D0)
+      Xi(3) = 0.D0
+
+      fPsi = self%fPsi(Xi)
+
+      r(1) = DOT_PRODUCT(fPsi, self%x)
+      r(2) = DOT_PRODUCT(fPsi, self%y)
+      r(3) = 0.D0
+
+    END FUNCTION randPosCellQuad
+
     !Computes element local stiffness matrix
     PURE FUNCTION elemKQuad(self) RESULT(localK)
       IMPLICIT NONE
@@ -419,14 +397,15 @@ MODULE moduleMesh2DCart
       !Start 2D Gauss Quad Integral
       DO l=1, 3
         Xi(2) = corQuad(l)
-        dPsi(1,:) = self%dPsiXi1(Xi(2))
         DO m = 1, 3
-          Xi(1)     = corQuad(m)
-          dPsi(2,:) = self%dPsiXi2(Xi(1))
-          fPsi = self%fPsi(Xi)
-          detJ      = self%detJac(Xi,dPsi)
-          invJ      = self%invJac(Xi,dPsi)
-          localK    = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wQuad(l)*wQuad(m)/detJ
+          Xi(1)  = corQuad(m)
+          fPsi   = self%fPsi(Xi)
+          dPsi   = self%dPsi(Xi)
+          detJ   = self%detJac(Xi,dPsi)
+          invJ   = self%invJac(Xi,dPsi)
+          localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
+                                             MATMUL(invJ,dPsi))* &
+                            wQuad(l)*wQuad(m)/detJ
 
         END DO
       END DO
@@ -533,24 +512,25 @@ MODULE moduleMesh2DCart
       CLASS(meshCell2DCartQuad), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: Xi(1:3)
-      REAL(8):: XiO(1:3), detJ, invJ(1:2,1:2), f(1:2)
+      REAL(8):: XiO(1:3), detJ, invJ(1:3,1:3), f(1:3)
       REAL(8):: dPsi(1:3,1:4), fPsi(1:4)
       REAL(8):: conv
 
       !Iterative newton method to transform coordinates
-      conv=1.D0
-      XiO=0.D0
+      conv = 1.D0
+      XiO  = 0.D0
 
-      DO WHILE(conv>1.D-3)
+      DO WHILE(conv > 1.D-3)
         dPsi = self%dPsi(XiO)
         invJ = self%invJac(XiO, dPsi)
         fPsi = self%fPsi(XiO)
-        f(1) = DOT_PRODUCT(fPsi,self%x)-r(1)
-        f(2) = DOT_PRODUCT(fPsi,self%y)-r(2)
-        detJ = self%detJac(XiO,dPsi)
-        Xi(1:2)=XiO(1:2) - MATMUL(invJ, f)/detJ
-        conv=MAXVAL(DABS(Xi-XiO),1)
-        XiO=Xi
+        f = (/ DOT_PRODUCT(fPsi,self%x), &
+               DOT_PRODUCT(fPsi,self%y), &
+               0.D0 /)
+        f = f - r
+        Xi = XiO - MATMUL(invJ, f)/detJ
+        conv = MAXVAL(DABS(Xi-XiO),1)
+        XiO = Xi
 
       END DO
 
@@ -644,7 +624,7 @@ MODULE moduleMesh2DCart
       r(2) = DOT_PRODUCT(fPsi, self%y)
       r(3) = 0.D0
 
-    END FUNCTION randposCellTria
+    END FUNCTION randPosCellTria
 
     !Calculates area for triangular element
     PURE SUBROUTINE areaTria(self)
@@ -690,37 +670,11 @@ MODULE moduleMesh2DCart
 
       dPsi = 0.D0
 
-      dPsi(1,:) = dPsiTriaXi1(Xi(2))
-      dPsi(2,:) = dPsiTriaXi2(Xi(1))
+      dPsi(1,:) = (/ -1.D0, 1.D0, 0.D0 /)
+      dPsi(2,:) = (/ -1.D0, 0.D0, 1.D0 /)
 
     END FUNCTION dPsiTria
 
-    !Derivative element function (Xi1)
-    PURE FUNCTION dPsiTriaXi1(Xi2) RESULT(dPsiXi1)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(in):: Xi2
-      REAL(8):: dPsiXi1(1:3)
-
-      dPsiXi1(1) = -1.D0
-      dPsiXi1(2) =  1.D0
-      dPsiXi1(3) =  0.D0
-
-    END FUNCTION dPsiTriaXi1
-
-    !Derivative element function (Xi1)
-    PURE FUNCTION dPsiTriaXi2(Xi1) RESULT(dPsiXi2)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(in):: Xi1
-      REAL(8):: dPsiXi2(1:3)
-
-      dPsiXi2(1) = -1.D0
-      dPsiXi2(2) =  0.D0
-      dPsiXi2(3) =  1.D0
-
-    END FUNCTION dPsiTriaXi2
-
     PURE SUBROUTINE partialDerTria(self, dPsi, dx, dy)
       IMPLICIT NONE
 
@@ -728,10 +682,10 @@ MODULE moduleMesh2DCart
       REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dx, dy
 
-      dx(1) = DOT_PRODUCT(dPsi(1,:),self%x)
-      dx(2) = DOT_PRODUCT(dPsi(2,:),self%x)
-      dy(1) = DOT_PRODUCT(dPsi(1,:),self%y)
-      dy(2) = DOT_PRODUCT(dPsi(2,:),self%y)
+      dx = (/ DOT_PRODUCT(dPsi(1,:),self%x), &
+              DOT_PRODUCT(dPsi(2,:),self%x) /)
+      dy = (/ DOT_PRODUCT(dPsi(1,:),self%y), &
+              DOT_PRODUCT(dPsi(2,:),self%y) /)
 
     END SUBROUTINE partialDerTria
 
@@ -755,7 +709,7 @@ MODULE moduleMesh2DCart
         dPsi   = self%dPsi(Xi)
         detJ   = self%detJac(Xi,dPsi)
         invJ   = self%invJac(Xi,dPsi)
-        fPsi = self%fPsi(Xi)
+        fPsi   = self%fPsi(Xi)
         localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wTria(l)/detJ
 
       END DO
@@ -781,7 +735,7 @@ MODULE moduleMesh2DCart
         Xi(1)  = Xi1Tria(l)
         Xi(2)  = Xi2Tria(l)
         detJ   = self%detJac(Xi)
-        fPsi = self%fPsi(Xi)
+        fPsi   = self%fPsi(Xi)
         f      = DOT_PRODUCT(fPsi,source)
         localF = localF + f*fPsi*wTria(l)*detJ
 
@@ -902,8 +856,8 @@ MODULE moduleMesh2DCart
       CLASS(meshCell2DCart), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
-      REAL(8):: dPsi(1:3,1:self%nNodes)
       REAL(8):: dJ
+      REAL(8):: dPsi(1:3,1:self%nNodes)
       REAL(8):: dx(1:2), dy(1:2)
 
       IF(PRESENT(dPsi_in)) THEN
@@ -915,6 +869,7 @@ MODULE moduleMesh2DCart
       END IF
 
       CALL self%partialDer(dPsi, dx, dy)
+
       dJ = dx(1)*dy(2)-dx(2)*dy(1)
 
     END FUNCTION detJ2DCart
@@ -926,9 +881,9 @@ MODULE moduleMesh2DCart
       CLASS(meshCell2DCart), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      REAL(8):: invJ(1:3,1:3)
       REAL(8):: dPsi(1:3,1:self%nNodes)
       REAL(8):: dx(1:2), dy(1:2)
-      REAL(8):: invJ(1:3,1:3)
 
       IF(PRESENT(dPsi_in)) THEN
         dPsi=dPsi_in
@@ -1351,7 +1306,7 @@ MODULE moduleMesh2DCart
 
           !Revers the normal to point inside the domain
           elemB%normal = - elemB%normal
-          
+
         END IF
 
       END IF
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 9032d61..6a47027 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -68,12 +68,10 @@ MODULE moduleMesh2DCyl
 
     CONTAINS
       PROCEDURE, PASS::   init        => initCellQuad2DCyl
-      PROCEDURE, PASS::   randPos     => randPosVolQuad
+      PROCEDURE, PASS::   randPos     => randPosCellQuad
       PROCEDURE, PASS::   area        => areaQuad
       PROCEDURE, PASS::   fPsi        => fPsiQuad
       PROCEDURE, PASS::   dPsi        => dPsiQuad
-      PROCEDURE, NOPASS, PRIVATE:: dPsiXi1     => dPsiQuadXi1
-      PROCEDURE, NOPASS, PRIVATE:: dPsiXi2     => dPsiQuadXi2
       PROCEDURE, PASS, PRIVATE::   partialDer  => partialDerQuad
       PROCEDURE, PASS::   elemK       => elemKQuad
       PROCEDURE, PASS::   elemF       => elemFQuad
@@ -98,12 +96,10 @@ MODULE moduleMesh2DCyl
 
     CONTAINS
       PROCEDURE, PASS::   init        => initCellTria2DCyl
-      PROCEDURE, PASS::   randPos     => randPosVolTria
+      PROCEDURE, PASS::   randPos     => randPosCellTria
       PROCEDURE, PASS::   area        => areaTria
       PROCEDURE, PASS::   fPsi        => fPsiTria
       PROCEDURE, PASS::   dPsi        => dPsiTria
-      PROCEDURE, NOPASS:: dPsiXi1     => dPsiTriaXi1
-      PROCEDURE, NOPASS:: dPsiXi2     => dPsiTriaXi2
       PROCEDURE, PASS, PRIVATE::   partialDer  => partialDerTria
       PROCEDURE, PASS::   elemK       => elemKTria
       PROCEDURE, PASS::   elemF       => elemFTria
@@ -183,6 +179,7 @@ MODULE moduleMesh2DCyl
                          self%z(2)-self%z(1) , &
                          0.D0 /)
       self%normal = self%normal/NORM2(self%normal)
+
       !Boundary index
       self%boundary => boundary(bt)
       ALLOCATE(self%fboundary(1:nSpecies))
@@ -210,7 +207,6 @@ MODULE moduleMesh2DCyl
     END FUNCTION getNodes2DCyl
 
     PURE FUNCTION intersection2DCylEdge(self, r0) RESULT(r)
-      USE moduleMath
       IMPLICIT NONE
 
       CLASS(meshEdge2DCyl), INTENT(in):: self
@@ -317,20 +313,16 @@ MODULE moduleMesh2DCyl
       self%volume  = r*detJ
       !Computes volume per node
       Xi = (/-5.D-1, -5.D-1, 0.D0/)
-      fPsi_node = self%fPsi(Xi)
-      r = DOT_PRODUCT(fPsi_node,self%r)
+      r = self%gatherF(Xi, self%r)
       self%arNodes(1) = fPsi(1)*r*detJ
       Xi = (/ 5.D-1, -5.D-1, 0.D0/)
-      fPsi_node = self%fPsi(Xi)
-      r = DOT_PRODUCT(fPsi_node,self%r)
+      r = self%gatherF(Xi, self%r)
       self%arNodes(2) = fPsi(2)*r*detJ
       Xi = (/ 5.D-1,  5.D-1, 0.D0/)
-      fPsi_node = self%fPsi(Xi)
-      r = DOT_PRODUCT(fPsi_node,self%r)
+      r = self%gatherF(Xi, self%r)
       self%arNodes(3) = fPsi(3)*r*detJ
       Xi = (/-5.D-1,  5.D-1, 0.D0/)
-      fPsi_node = self%fPsi(Xi)
-      r = DOT_PRODUCT(fPsi_node,self%r)
+      r = self%gatherF(Xi, self%r)
       self%arNodes(4) = fPsi(4)*r*detJ
 
     END SUBROUTINE areaQuad
@@ -362,43 +354,20 @@ MODULE moduleMesh2DCyl
 
       dPsi = 0.D0
 
-      dPsi(1,:) = dPsiQuadXi1(Xi(2))
-      dPsi(2,:) = dPsiQuadXi2(Xi(1))
+      dPsi(1,:) = (/ -(1.D0 - Xi(2)), &
+                      (1.D0 - Xi(2)), &
+                      (1.D0 + Xi(2)), &
+                     -(1.D0 + Xi(2)) /)
+
+      dPsi(2,:) = (/ -(1.D0 - Xi(1)), &
+                     -(1.D0 + Xi(1)), &
+                      (1.D0 + Xi(1)), &
+                      (1.D0 - Xi(1)) /)
+
+      dPsi = dPsi * 0.25D0
 
     END FUNCTION dPsiQuad
 
-    !Derivative element function (Xi1)
-    PURE FUNCTION dPsiQuadXi1(Xi2) RESULT(dPsiXi1) 
-      IMPLICIT NONE
-
-      REAL(8),INTENT(in):: Xi2
-      REAL(8):: dPsiXi1(1:4)
-
-      dPsiXi1(1) = -(1.D0 - Xi2)
-      dPsiXi1(2) =  (1.D0 - Xi2)
-      dPsiXi1(3) =  (1.D0 + Xi2)
-      dPsiXi1(4) = -(1.D0 + Xi2)
-
-      dPsiXi1    = dPsiXi1*0.25D0
-      
-    END FUNCTION dPsiQuadXi1
-
-    !Derivative element function (Xi2)
-    PURE FUNCTION dPsiQuadXi2(Xi1) RESULT(dPsiXi2) 
-      IMPLICIT NONE
-
-      REAL(8),INTENT(in):: Xi1
-      REAL(8):: dPsiXi2(1:4)
-
-      dPsiXi2(1) = -(1.D0 - Xi1)
-      dPsiXi2(2) = -(1.D0 + Xi1)
-      dPsiXi2(3) =  (1.D0 + Xi1)
-      dPsiXi2(4) =  (1.D0 - Xi1)
-
-      dPsiXi2    = dPsiXi2 * 0.25D0
-
-    END FUNCTION dPsiQuadXi2
-
     !Partial derivative in global coordinates
     PURE SUBROUTINE partialDerQuad(self, dPsi, dz, dr)
       IMPLICIT NONE
@@ -407,15 +376,15 @@ MODULE moduleMesh2DCyl
       REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dz, dr
 
-      dz(1) = DOT_PRODUCT(dPsi(1,:),self%z)
-      dz(2) = DOT_PRODUCT(dPsi(2,:),self%z)
-      dr(1) = DOT_PRODUCT(dPsi(1,:),self%r)
-      dr(2) = DOT_PRODUCT(dPsi(2,:),self%r)
+      dz = (/ DOT_PRODUCT(dPsi(1,1:4),self%z(1:4)), &
+              DOT_PRODUCT(dPsi(2,1:4),self%z(1:4)) /)
+      dr = (/ DOT_PRODUCT(dPsi(1,1:4),self%r(1:4)), &
+              DOT_PRODUCT(dPsi(2,1:4),self%r(1:4)) /)
 
     END SUBROUTINE partialDerQuad
 
     !Random position in quadrilateral volume
-    FUNCTION randPosVolQuad(self) RESULT(r)
+    FUNCTION randPosCellQuad(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
 
@@ -434,7 +403,7 @@ MODULE moduleMesh2DCyl
       r(2) = DOT_PRODUCT(fPsi, self%r)
       r(3) = 0.D0
 
-    END FUNCTION randposVolQuad
+    END FUNCTION randPosCellQuad
 
     !Computes element local stiffness matrix
     PURE FUNCTION elemKQuad(self) RESULT(localK)
@@ -443,8 +412,9 @@ MODULE moduleMesh2DCyl
 
       CLASS(meshCell2DCylQuad), INTENT(in):: self
       REAL(8):: localK(1:self%nNodes,1:self%nNodes)
-      REAL(8):: r, Xi(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4), dPsi(1:3,1:4)
+      REAL(8):: r
       REAL(8):: invJ(1:3,1:3), detJ
       INTEGER:: l, m
 
@@ -453,17 +423,16 @@ MODULE moduleMesh2DCyl
       !Start 2D Gauss Quad Integral
       DO l=1, 3
         Xi(2) = corQuad(l)
-        dPsi(1,:) = self%dPsiXi1(Xi(2))
         DO m = 1, 3
-          Xi(1)     = corQuad(m)
-          dPsi(2,:) = self%dPsiXi2(Xi(1))
-          fPsi = self%fPsi(Xi)
-          detJ      = self%detJac(Xi,dPsi)
-          invJ      = self%invJac(Xi,dPsi)
-          r         = DOT_PRODUCT(fPsi,self%r)
-          localK    = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
-                                            MATMUL(invJ,dPsi))* &
-                           r*wQuad(l)*wQuad(m)/detJ
+          Xi(1)  = corQuad(m)
+          fPsi   = self%fPsi(Xi)
+          dPsi   = self%dPsi(Xi)
+          detJ   = self%detJac(Xi,dPsi)
+          invJ   = self%invJac(Xi,dPsi)
+          r      = DOT_PRODUCT(fPsi,self%r)
+          localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
+                                             MATMUL(invJ,dPsi))* &
+                            r*wQuad(l)*wQuad(m)/detJ
 
         END DO
       END DO
@@ -479,8 +448,9 @@ MODULE moduleMesh2DCyl
       CLASS(meshCell2DCylQuad), INTENT(in):: self
       REAL(8), INTENT(in):: source(1:self%nNodes)
       REAL(8):: localF(1:self%nNodes)
-      REAL(8):: r, Xi(1:3)
+      REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4)
+      REAL(8):: r
       REAL(8):: detJ, f
       INTEGER:: l, m
 
@@ -574,23 +544,24 @@ MODULE moduleMesh2DCyl
       CLASS(meshCell2DCylQuad), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: Xi(1:3)
-      REAL(8):: XiO(1:3), detJ, invJ(1:2,1:2), f(1:2)
+      REAL(8):: XiO(1:3), detJ, invJ(1:3,1:3), f(1:3)
       REAL(8):: dPsi(1:3,1:4), fPsi(1:4)
       REAL(8):: conv
 
       !Iterative newton method to transform coordinates
-      conv=1.D0
-      XiO=0.D0
+      conv = 1.D0
+      XiO  = 0.D0
 
-      DO WHILE(conv>1.D-3)
+      DO WHILE(conv > 1.D-3)
         dPsi = self%dPsi(XiO)
         invJ = self%invJac(XiO, dPsi)
         detJ = self%detJac(XiO, dPsi)
         fPsi = self%fPsi(XiO)
         f = (/ DOT_PRODUCT(fPsi,self%z), &
-               DOT_PRODUCT(fPsi,self%r) /)
-        f = f - r(1:2)
-        Xi(1:2) = XiO(1:2) - MATMUL(invJ, f)/detJ
+               DOT_PRODUCT(fPsi,self%r), &
+               0.D0 /)
+        f = f - r
+        Xi = XiO - MATMUL(invJ, f)/detJ
         conv = MAXVAL(DABS(Xi-XiO),1)
         XiO = Xi
 
@@ -667,7 +638,7 @@ MODULE moduleMesh2DCyl
     END SUBROUTINE initCellTria2DCyl
 
     !Random position in quadrilateral volume
-    FUNCTION randPosVolTria(self) RESULT(r)
+    FUNCTION randPosCellTria(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
 
@@ -686,7 +657,7 @@ MODULE moduleMesh2DCyl
       r(2) = DOT_PRODUCT(fPsi, self%r)
       r(3) = 0.D0
 
-    END FUNCTION randposVolTria
+    END FUNCTION randPosCellTria
 
     !Calculates area for triangular element
     PURE SUBROUTINE areaTria(self)
@@ -694,7 +665,8 @@ MODULE moduleMesh2DCyl
       IMPLICIT NONE
 
       CLASS(meshCell2DCylTria), INTENT(inout):: self
-      REAL(8):: r, Xi(1:3)
+      REAL(8):: Xi(1:3)
+      REAL(8):: r
       REAL(8):: detJ
       REAL(8):: fPsi(1:3)
 
@@ -736,37 +708,11 @@ MODULE moduleMesh2DCyl
 
       dPsi = 0.D0
 
-      dPsi(1,:) = dPsiTriaXi1(Xi(2))
-      dPsi(2,:) = dPsiTriaXi2(Xi(1))
+      dPsi(1,:) = (/ -1.D0, 1.D0, 0.D0 /)
+      dPsi(2,:) = (/ -1.D0, 0.D0, 1.D0 /)
 
     END FUNCTION dPsiTria
 
-    !Derivative element function (Xi1)
-    PURE FUNCTION dPsiTriaXi1(Xi2) RESULT(dPsiXi1)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(in):: Xi2
-      REAL(8):: dPsiXi1(1:3)
-
-      dPsiXi1(1) = -1.D0
-      dPsiXi1(2) =  1.D0
-      dPsiXi1(3) =  0.D0
-
-    END FUNCTION dPsiTriaXi1
-
-    !Derivative element function (Xi1)
-    PURE FUNCTION dPsiTriaXi2(Xi1) RESULT(dPsiXi2)
-      IMPLICIT NONE
-
-      REAL(8), INTENT(in):: Xi1
-      REAL(8):: dPsiXi2(1:3)
-
-      dPsiXi2(1) = -1.D0
-      dPsiXi2(2) =  0.D0
-      dPsiXi2(3) =  1.D0
-
-    END FUNCTION dPsiTriaXi2
-
     PURE SUBROUTINE partialDerTria(self, dPsi, dz, dr)
       IMPLICIT NONE
 
@@ -774,10 +720,10 @@ MODULE moduleMesh2DCyl
       REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dz, dr
 
-      dz(1) = DOT_PRODUCT(dPsi(1,:),self%z)
-      dz(2) = DOT_PRODUCT(dPsi(2,:),self%z)
-      dr(1) = DOT_PRODUCT(dPsi(1,:),self%r)
-      dr(2) = DOT_PRODUCT(dPsi(2,:),self%r)
+      dz = (/ DOT_PRODUCT(dPsi(1,:),self%z), &
+              DOT_PRODUCT(dPsi(2,:),self%z) /)
+      dr = (/ DOT_PRODUCT(dPsi(1,:),self%r), &
+              DOT_PRODUCT(dPsi(2,:),self%r) /)
 
     END SUBROUTINE partialDerTria
 
@@ -788,7 +734,8 @@ MODULE moduleMesh2DCyl
 
       CLASS(meshCell2DCylTria), INTENT(in):: self
       REAL(8):: localK(1:self%nNodes,1:self%nNodes)
-      REAL(8):: r, Xi(1:3)
+      REAL(8):: Xi(1:3)
+      REAL(8):: r
       REAL(8):: fPsi(1:3), dPsi(1:3,1:3)
       REAL(8):: invJ(1:3,1:3), detJ
       INTEGER:: l
@@ -820,7 +767,8 @@ MODULE moduleMesh2DCyl
       REAL(8), INTENT(in):: source(1:self%nNodes)
       REAL(8):: localF(1:self%nNodes)
       REAL(8):: fPsi(1:3)
-      REAL(8):: r, Xi(1:3)
+      REAL(8):: Xi(1:3)
+      REAL(8):: r
       REAL(8):: detJ, f
       INTEGER:: l
 
@@ -909,17 +857,17 @@ MODULE moduleMesh2DCyl
       CLASS(meshCell2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: Xi(1:3)
-      REAL(8):: invJ(1:2,1:2), detJ
-      REAL(8):: deltaR(1:2)
+      REAL(8):: invJ(1:3,1:3), detJ
+      REAL(8):: deltaR(1:3)
       REAL(8):: dPsi(1:3,1:3)
 
       !Direct method to convert coordinates
-      Xi      = 0.D0 !Irrelevant, required for input
-      deltaR  = (/ r(1) - self%z(1), r(2) - self%r(1) /)
-      dPsi    = self%dPsi(Xi)
-      invJ    = self%invJac(Xi, dPsi)
-      detJ    = self%detJac(Xi, dPsi)
-      Xi(1:2) = MATMUL(invJ,deltaR)/detJ
+      Xi     = 0.D0
+      deltaR = (/ r(1) - self%z(1), r(2) - self%r(1), 0.D0 /)
+      dPsi   = self%dPsi(Xi)
+      invJ   = self%invJac(Xi, dPsi)
+      detJ   = self%detJac(Xi, dPsi)
+      Xi     = MATMUL(invJ,deltaR)/detJ
 
     END FUNCTION phy2logTria
 
@@ -967,6 +915,7 @@ MODULE moduleMesh2DCyl
       END IF
 
       CALL self%partialDer(dPsi, dz, dr)
+
       dJ = dz(1)*dr(2)-dz(2)*dr(1)
 
     END FUNCTION detJ2DCyl
@@ -1006,10 +955,10 @@ MODULE moduleMesh2DCyl
       INTEGER:: e, et
 
       DO e = 1, self%numCells
-        !Connect Vol-Vol
+        !Connect Cell-Cell
         DO et = 1, self%numCells
           IF (e /= et) THEN
-            CALL connectVolVol(self%cells(e)%obj, self%cells(et)%obj)
+            CALL connectCellCell(self%cells(e)%obj, self%cells(et)%obj)
 
           END IF
 
@@ -1017,9 +966,9 @@ MODULE moduleMesh2DCyl
 
         SELECT TYPE(self)
         TYPE IS(meshParticles)
-          !Connect Vol-Edge
+          !Connect Cell-Edge
           DO et = 1, self%numEdges
-            CALL connectVolEdge(self%cells(e)%obj, self%edges(et)%obj)
+            CALL connectCellEdge(self%cells(e)%obj, self%edges(et)%obj)
 
           END DO
 
@@ -1030,7 +979,7 @@ MODULE moduleMesh2DCyl
     END SUBROUTINE connectMesh2DCyl
 
     !Selects type of elements to build connection
-    SUBROUTINE connectVolVol(elemA, elemB)
+    SUBROUTINE connectCellCell(elemA, elemB)
       IMPLICIT NONE
 
       CLASS(meshCell), INTENT(inout):: elemA
@@ -1065,9 +1014,9 @@ MODULE moduleMesh2DCyl
 
       END SELECT
 
-    END SUBROUTINE connectVolVol
+    END SUBROUTINE connectCellCell
 
-    SUBROUTINE connectVolEdge(elemA, elemB)
+    SUBROUTINE connectCellEdge(elemA, elemB)
       IMPLICIT NONE
 
       CLASS(meshCell),  INTENT(inout):: elemA
@@ -1088,7 +1037,7 @@ MODULE moduleMesh2DCyl
 
       END SELECT
 
-    END SUBROUTINE connectVolEdge
+    END SUBROUTINE connectCellEdge
 
     SUBROUTINE connectQuadQuad(elemA, elemB)
       IMPLICIT NONE

From 6f24b5f1f6690e457fa6f3890b0d591a7606485a Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Thu, 5 Jan 2023 20:32:45 +0100
Subject: [PATCH 073/203] Small changes before trying something big

I think that creating arrays with self%nNodes takes a lot of time.
I'm trying now to pass the number of nodes as argument.
---
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 2 +-
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   | 2 +-
 src/modules/moduleList.f90                   | 3 +++
 3 files changed, 5 insertions(+), 2 deletions(-)

diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index e7c6e6f..b3f65e4 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -520,7 +520,7 @@ MODULE moduleMesh2DCart
       conv = 1.D0
       XiO  = 0.D0
 
-      DO WHILE(conv > 1.D-3)
+      DO WHILE(conv > 1.D-2)
         dPsi = self%dPsi(XiO)
         invJ = self%invJac(XiO, dPsi)
         fPsi = self%fPsi(XiO)
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 6a47027..8f1ee5f 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -552,7 +552,7 @@ MODULE moduleMesh2DCyl
       conv = 1.D0
       XiO  = 0.D0
 
-      DO WHILE(conv > 1.D-3)
+      DO WHILE(conv > 1.D-2)
         dPsi = self%dPsi(XiO)
         invJ = self%invJac(XiO, dPsi)
         detJ = self%detJac(XiO, dPsi)
diff --git a/src/modules/moduleList.f90 b/src/modules/moduleList.f90
index b040c80..b1dafdc 100644
--- a/src/modules/moduleList.f90
+++ b/src/modules/moduleList.f90
@@ -92,9 +92,12 @@ MODULE moduleList
         DEALLOCATE(current)
         current => next
       END DO
+
       IF (ASSOCIATED(self%head)) NULLIFY(self%head)
       IF (ASSOCIATED(self%tail)) NULLIFY(self%tail)
+
       self%amount = 0
+
     END SUBROUTINE eraseList
 
     SUBROUTINE setLock(self)

From 15d64f3e68f683d01de9c4a07cd2e5654169ab08 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Thu, 5 Jan 2023 21:22:13 +0100
Subject: [PATCH 074/203] Passing nNodes as argument

It seems that this improves results as passing the size of the arrays as
an argument is better than getting it from self.
---
 src/modules/init/moduleInput.f90             |  4 +-
 src/modules/mesh/0D/moduleMesh0D.f90         | 10 ++-
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 | 56 +++++++-------
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   | 78 ++++++++++----------
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 50 +++++++------
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   | 58 ++++++++-------
 src/modules/mesh/3DCart/moduleMesh3DCart.f90 | 28 +++----
 src/modules/mesh/moduleMesh.f90              | 18 +++--
 8 files changed, 159 insertions(+), 143 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 3ff9e5b..1a439cc 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -362,7 +362,7 @@ MODULE moduleInput
             nodes = mesh%cells(e)%obj%getNodes()
             nNodes = mesh%cells(e)%obj%nNodes
             ALLOCATE(fPsi(1:nNodes))
-            fPsi = mesh%cells(e)%obj%fPsi((/0.D0, 0.D0, 0.D0/))
+            fPsi = mesh%cells(e)%obj%fPsi((/0.D0, 0.D0, 0.D0/), nNodes)
             ALLOCATE(source(1:nNodes))
             DO j = 1, nNodes
               source(j) = density(nodes(j))
@@ -380,7 +380,7 @@ MODULE moduleInput
               partNew%r       =  mesh%cells(e)%obj%randPos()
               partNew%xi      =  mesh%cells(e)%obj%phy2log(partNew%r)
               !Get mean velocity at particle position
-              fPsi = mesh%cells(e)%obj%fPsi(partNew%xi)
+              fPsi = mesh%cells(e)%obj%fPsi(partNew%xi, nNodes)
               DO j = 1, nNodes
                 source(j) = velocity(nodes(j), 1)
 
diff --git a/src/modules/mesh/0D/moduleMesh0D.f90 b/src/modules/mesh/0D/moduleMesh0D.f90
index a57f244..65b13a3 100644
--- a/src/modules/mesh/0D/moduleMesh0D.f90
+++ b/src/modules/mesh/0D/moduleMesh0D.f90
@@ -109,23 +109,25 @@ MODULE moduleMesh0D
 
     END FUNCTION randPos0D
 
-    PURE FUNCTION fPsi0D(self, Xi) RESULT(fPsi)
+    PURE FUNCTION fPsi0D(self, Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
       CLASS(meshCell0D), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: fPsi(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: fPsi(1:nNodes)
 
       fPsi = 1.D0
 
     END FUNCTION fPsi0D
 
-    PURE FUNCTION dPsi0D(self, Xi) RESULT(dPsi)
+    PURE FUNCTION dPsi0D(self, Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
       CLASS(meshCell0D), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: dPsi(1:3,1:nNodes)
 
       dPsi = 0.D0
 
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 0f46ba5..982c703 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -230,7 +230,7 @@ MODULE moduleMesh1DCart
       Xi(1)   = random(-1.D0, 1.D0)
       Xi(2:3) = 0.D0
 
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 2)
       r(1) = DOT_PRODUCT(fPsi, self%x)
 
     END FUNCTION randPos1DCartSegm
@@ -249,7 +249,7 @@ MODULE moduleMesh1DCart
       self%arNodes = 0.D0
       !1 point Gauss integral
       Xi = 0.D0
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 2)
       detJ = self%detJac(Xi)
       l = 2.D0*detJ
       self%volume  =      l
@@ -258,27 +258,29 @@ MODULE moduleMesh1DCart
     END SUBROUTINE areaSegm
 
     !Computes element functions at point Xi
-    PURE FUNCTION fPsiSegm(self, xi) RESULT(fPsi)
+    PURE FUNCTION fPsiSegm(self, Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
       CLASS(meshCell1DCartSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: fPsi(1:self%nNodes)
+      REAL(8), INTENT(in):: Xi(1:3)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: fPsi(1:nNodes)
 
-      fPsi(1) = 1.D0 - xi(1)
-      fPsi(2) = 1.D0 + xi(1)
+      fPsi(1) = 1.D0 - Xi(1)
+      fPsi(2) = 1.D0 + Xi(1)
 
       fPsi    = fPsi * 5.D-1
 
     END FUNCTION fPsiSegm
 
     !Computes element derivative shape function at Xi
-    PURE FUNCTION dPsiSegm(self, xi) RESULT(dPsi)
+    PURE FUNCTION dPsiSegm(self, Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
       CLASS(meshCell1DCartSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      REAL(8), INTENT(in):: Xi(1:3)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: dPsi(1:3,1:nNodes)
 
       dPsi = 0.D0
 
@@ -314,7 +316,7 @@ MODULE moduleMesh1DCart
       Xi     = 0.D0
       DO l = 1, 3
         Xi(1) = corSeg(l)
-        dPsi    = self%dPsi(Xi)
+        dPsi    = self%dPsi(Xi, 2)
         detJ    = self%detJac(Xi, dPsi)
         invJ    = self%invJac(Xi, dPsi)
         localK  = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
@@ -342,7 +344,7 @@ MODULE moduleMesh1DCart
       DO l = 1, 3
         Xi(1) = corSeg(l)
         detJ   = self%detJac(Xi)
-        fPsi = self%fPsi(Xi)
+        fPsi = self%fPsi(Xi, 2)
         f      = DOT_PRODUCT(fPsi, source)
         localF = localF + f*fPsi*wSeg(l)*detJ
 
@@ -384,14 +386,14 @@ MODULE moduleMesh1DCart
 
     END FUNCTION gatherMFSegm
 
-    PURE FUNCTION insideSegm(xi) RESULT(ins)
+    PURE FUNCTION insideSegm(Xi) RESULT(ins)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       LOGICAL:: ins
 
-      ins = xi(1) >=-1.D0 .AND. &
-            xi(1) <= 1.D0
+      ins = Xi(1) >=-1.D0 .AND. &
+            Xi(1) <= 1.D0
 
     END FUNCTION insideSegm
 
@@ -418,19 +420,19 @@ MODULE moduleMesh1DCart
 
     END FUNCTION phy2logSegm
 
-    !Get next element for a logical position xi
-    SUBROUTINE nextElementSegm(self, xi, nextElement)
+    !Get next element for a logical position Xi
+    SUBROUTINE nextElementSegm(self, Xi, nextElement)
       IMPLICIT NONE
 
       CLASS(meshCell1DCartSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       CLASS(meshElement), POINTER, INTENT(out):: nextElement
       
       NULLIFY(nextElement)
-      IF     (xi(1) < -1.D0) THEN
+      IF     (Xi(1) < -1.D0) THEN
         nextElement => self%e2
 
-      ELSEIF (xi(1) >  1.D0) THEN
+      ELSEIF (Xi(1) >  1.D0) THEN
         nextElement => self%e1
 
       END IF
@@ -440,11 +442,11 @@ MODULE moduleMesh1DCart
     !COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
     !Calculates a random position in 1D volume
     !Computes the element Jacobian determinant
-    PURE FUNCTION detJ1DCart(self, xi, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ1DCart(self, Xi, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
       CLASS(meshCell1DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
       REAL(8):: dPsi(1:3,1:self%nNodes)
       REAL(8):: dJ
@@ -454,7 +456,7 @@ MODULE moduleMesh1DCart
         dPsi = dPsi_in
 
       ELSE
-        dPsi = self%dPsi(xi)
+        dPsi = self%dPsi(Xi, 2)
 
       END IF
 
@@ -464,11 +466,11 @@ MODULE moduleMesh1DCart
     END FUNCTION detJ1DCart
 
     !Computes the invers Jacobian
-    PURE FUNCTION invJ1DCart(self, xi, dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ1DCart(self, Xi, dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
       CLASS(meshCell1DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
       REAL(8):: invJ(1:3,1:3)
       REAL(8):: dPsi(1:3,1:self%nNodes)
@@ -478,7 +480,7 @@ MODULE moduleMesh1DCart
         dPsi = dPsi_in
 
       ELSE
-        dPsi = self%dPsi(xi)
+        dPsi = self%dPsi(Xi, 2)
 
       END IF
 
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 8ebac17..1ce7836 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -232,7 +232,7 @@ MODULE moduleMesh1DRad
       Xi(1)   = random(-1.D0, 1.D0)
       Xi(2:3) = 0.D0
 
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 2)
       r(1) = DOT_PRODUCT(fPsi, self%r)
 
     END FUNCTION randPos1DRadSeg
@@ -252,7 +252,7 @@ MODULE moduleMesh1DRad
       self%arNodes = 0.D0
       !1 point Gauss integral
       Xi = 0.D0
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 2)
       detJ = self%detJac(Xi)
       !Computes total volume of the cell
       r    = DOT_PRODUCT(fPsi, self%r)
@@ -260,38 +260,38 @@ MODULE moduleMesh1DRad
       self%volume  = r*l
       !Computes volume per node
       Xi = (/-5.D-1,  0.D0, 0.D0/)
-      fPsi_node = self%fPsi(Xi)
-      r = DOT_PRODUCT(fPsi_node,self%r)
+      r = self%gatherF(Xi, self%r)
       self%arNodes(1) = fPsi(1)*r*l
       Xi = (/ 5.D-1,  0.D0, 0.D0/)
-      fPsi_node = self%fPsi(Xi)
-      r = DOT_PRODUCT(fPsi_node,self%r)
+      r = self%gatherF(Xi, self%r)
       self%arNodes(2) = fPsi(2)*r*l
 
     END SUBROUTINE areaRad
 
     !Computes element functions at point Xi
-    PURE FUNCTION fPsiRad(self, xi) RESULT(fPsi)
+    PURE FUNCTION fPsiRad(self, Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
       CLASS(meshCell1DRadSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: fPsi(1:self%nNodes)
+      REAL(8), INTENT(in):: Xi(1:3)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: fPsi(1:nNodes)
 
-      fPsi(1) = 1.D0 - xi(1)
-      fPsi(2) = 1.D0 + xi(1)
+      fPsi(1) = 1.D0 - Xi(1)
+      fPsi(2) = 1.D0 + Xi(1)
 
       fPsi    = fPsi * 5.D-1
 
     END FUNCTION fPsiRad
 
     !Computes element derivative shape function at Xi
-    PURE FUNCTION dPsiRad(self, xi) RESULT(dPsi)
+    PURE FUNCTION dPsiRad(self, Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
       CLASS(meshCell1DRadSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      REAL(8), INTENT(in):: Xi(1:3)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: dPsi(1:3,1:nNodes)
 
       dPsi = 0.D0
 
@@ -328,15 +328,15 @@ MODULE moduleMesh1DRad
       localK  = 0.D0
       Xi     = 0.D0
       DO l = 1, 3
-        Xi(1) = corSeg(l)
-        dPsi    = self%dPsi(Xi)
-        detJ    = self%detJac(Xi, dPsi)
-        invJ    = self%invJac(Xi, dPsi)
-        fPsi    = self%fPsi(Xi)
-        r       = DOT_PRODUCT(fPsi, self%r)
-        localK  = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
-                                  RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
-                           r*wSeg(l)/detJ
+        Xi(1)  = corSeg(l)
+        dPsi   = self%dPsi(Xi, 2)
+        detJ   = self%detJac(Xi, dPsi)
+        invJ   = self%invJac(Xi, dPsi)
+        fPsi   = self%fPsi(Xi, 2)
+        r      = DOT_PRODUCT(fPsi, self%r)
+        localK = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
+                                 RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
+                          r*wSeg(l)/detJ
 
       END DO
 
@@ -362,7 +362,7 @@ MODULE moduleMesh1DRad
       DO l = 1, 3
         Xi(1) = corSeg(l)
         detJ   = self%detJac(Xi)
-        fPsi   = self%fPsi(Xi)
+        fPsi   = self%fPsi(Xi, 2)
         r      = DOT_PRODUCT(fPsi, self%r)
         f      = DOT_PRODUCT(fPsi, source)
         localF = localF + f*fPsi*r*wSeg(l)*detJ
@@ -405,14 +405,14 @@ MODULE moduleMesh1DRad
 
     END FUNCTION gatherMFRad
 
-    PURE FUNCTION insideRad(xi) RESULT(ins)
+    PURE FUNCTION insideRad(Xi) RESULT(ins)
       IMPLICIT NONE
 
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       LOGICAL:: ins
 
-      ins = xi(1) >=-1.D0 .AND. &
-            xi(1) <= 1.D0
+      ins = Xi(1) >=-1.D0 .AND. &
+            Xi(1) <= 1.D0
 
     END FUNCTION insideRad
 
@@ -439,19 +439,19 @@ MODULE moduleMesh1DRad
 
     END FUNCTION phy2logRad
 
-    !Get next element for a logical position xi
-    SUBROUTINE nextElementRad(self, xi, nextElement)
+    !Get next element for a logical position Xi
+    SUBROUTINE nextElementRad(self, Xi, nextElement)
       IMPLICIT NONE
 
       CLASS(meshCell1DRadSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       CLASS(meshElement), POINTER, INTENT(out):: nextElement
       
       NULLIFY(nextElement)
-      IF     (xi(1) < -1.D0) THEN
+      IF     (Xi(1) < -1.D0) THEN
         nextElement => self%e2
 
-      ELSEIF (xi(1) >  1.D0) THEN
+      ELSEIF (Xi(1) >  1.D0) THEN
         nextElement => self%e1
 
       END IF
@@ -460,11 +460,11 @@ MODULE moduleMesh1DRad
 
     !COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
     !Computes the element Jacobian determinant
-    PURE FUNCTION detJ1DRad(self, xi, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ1DRad(self, Xi, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
       CLASS(meshCell1DRad), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
       REAL(8):: dPsi(1:3,1:self%nNodes)
       REAL(8):: dJ
@@ -474,7 +474,7 @@ MODULE moduleMesh1DRad
         dPsi = dPsi_in
 
       ELSE
-        dPsi = self%dPsi(xi)
+        dPsi = self%dPsi(Xi, 2)
 
       END IF
 
@@ -484,11 +484,11 @@ MODULE moduleMesh1DRad
     END FUNCTION detJ1DRad
 
     !Computes the invers Jacobian
-    PURE FUNCTION invJ1DRad(self, xi, dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ1DRad(self, Xi, dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
       CLASS(meshCell1DRad), INTENT(in):: self
-      REAL(8), INTENT(in):: xi(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
       REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
       REAL(8):: dPsi(1:3,1:self%nNodes)
       REAL(8):: dx(1)
@@ -498,7 +498,7 @@ MODULE moduleMesh1DRad
         dPsi = dPsi_in
 
       ELSE
-        dPsi = self%dPsi(xi)
+        dPsi = self%dPsi(Xi, 2)
 
       END IF
 
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index b3f65e4..649b8fb 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -297,19 +297,20 @@ MODULE moduleMesh2DCart
       !2D 1 point Gauss Quad Integral
       Xi = 0.D0
       detJ = self%detJac(Xi)*4.D0 !4
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 4)
       self%volume  =      detJ
       self%arNodes = fPsi*detJ
 
     END SUBROUTINE areaQuad
 
     !Computes element functions in point Xi
-    PURE FUNCTION fPsiQuad(self, Xi) RESULT(fPsi) 
+    PURE FUNCTION fPsiQuad(self, Xi, nNodes) RESULT(fPsi) 
       IMPLICIT NONE
 
       CLASS(meshCell2DCartQuad), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: fPsi(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: fPsi(1:nNodes)
 
       fPsi(1) = (1.D0-Xi(1)) * (1.D0-Xi(2))
       fPsi(2) = (1.D0+Xi(1)) * (1.D0-Xi(2))
@@ -321,12 +322,13 @@ MODULE moduleMesh2DCart
     END FUNCTION fPsiQuad
 
     !Derivative element function at coordinates Xi
-    PURE FUNCTION dPsiQuad(self, Xi) RESULT(dPsi)
+    PURE FUNCTION dPsiQuad(self, Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartQuad), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: dPsi(1:3,1:nNodes)
 
       dPsi = 0.D0
 
@@ -373,7 +375,7 @@ MODULE moduleMesh2DCart
       Xi(2) = random(-1.D0, 1.D0)
       Xi(3) = 0.D0
 
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 4)
 
       r(1) = DOT_PRODUCT(fPsi, self%x)
       r(2) = DOT_PRODUCT(fPsi, self%y)
@@ -399,8 +401,8 @@ MODULE moduleMesh2DCart
         Xi(2) = corQuad(l)
         DO m = 1, 3
           Xi(1)  = corQuad(m)
-          fPsi   = self%fPsi(Xi)
-          dPsi   = self%dPsi(Xi)
+          fPsi   = self%fPsi(Xi, 4)
+          dPsi   = self%dPsi(Xi, 4)
           detJ   = self%detJac(Xi,dPsi)
           invJ   = self%invJac(Xi,dPsi)
           localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
@@ -431,7 +433,7 @@ MODULE moduleMesh2DCart
         DO m = 1, 3
           Xi(2)  = corQuad(m)
           detJ   = self%detJac(Xi)
-          fPsi = self%fPsi(Xi)
+          fPsi = self%fPsi(Xi, 4)
           f      = DOT_PRODUCT(fPsi,source)
           localF = localF + f*fPsi*wQuad(l)*wQuad(m)*detJ
 
@@ -521,9 +523,9 @@ MODULE moduleMesh2DCart
       XiO  = 0.D0
 
       DO WHILE(conv > 1.D-2)
-        dPsi = self%dPsi(XiO)
+        dPsi = self%dPsi(XiO, 4)
         invJ = self%invJac(XiO, dPsi)
-        fPsi = self%fPsi(XiO)
+        fPsi = self%fPsi(XiO, 4)
         f = (/ DOT_PRODUCT(fPsi,self%x), &
                DOT_PRODUCT(fPsi,self%y), &
                0.D0 /)
@@ -618,7 +620,7 @@ MODULE moduleMesh2DCart
       Xi(2) = random( 0.D0, 1.D0 - Xi(1))
       Xi(3) = 0.D0
 
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 4)
 
       r(1) = DOT_PRODUCT(fPsi, self%x)
       r(2) = DOT_PRODUCT(fPsi, self%y)
@@ -640,19 +642,20 @@ MODULE moduleMesh2DCart
       !2D 1 point Gauss Quad Integral
       Xi = (/1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
       detJ  = self%detJac(Xi)/2.D0 
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 4)
       self%volume  =      detJ
       self%arNodes = fPsi*detJ
 
     END SUBROUTINE areaTria
 
     !Shape functions for triangular element
-    PURE FUNCTION fPsiTria(self, Xi) RESULT(fPsi)
+    PURE FUNCTION fPsiTria(self, Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartTria), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: fPsi(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: fPsi(1:nNodes)
 
       fPsi(1) = 1.D0 - Xi(1) - Xi(2)
       fPsi(2) =        Xi(1)
@@ -661,12 +664,13 @@ MODULE moduleMesh2DCart
     END FUNCTION fPsiTria
 
     !Derivative element function at coordinates Xi
-    PURE FUNCTION dPsiTria(self, Xi) RESULT(dPsi)
+    PURE FUNCTION dPsiTria(self, Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartTria), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: dPsi(1:3,1:nNodes)
 
       dPsi = 0.D0
 
@@ -706,10 +710,10 @@ MODULE moduleMesh2DCart
       DO l=1, 4
         Xi(1)  = Xi1Tria(l)
         Xi(2)  = Xi2Tria(l)
-        dPsi   = self%dPsi(Xi)
+        dPsi   = self%dPsi(Xi, 4)
         detJ   = self%detJac(Xi,dPsi)
         invJ   = self%invJac(Xi,dPsi)
-        fPsi   = self%fPsi(Xi)
+        fPsi   = self%fPsi(Xi, 4)
         localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wTria(l)/detJ
 
       END DO
@@ -735,7 +739,7 @@ MODULE moduleMesh2DCart
         Xi(1)  = Xi1Tria(l)
         Xi(2)  = Xi2Tria(l)
         detJ   = self%detJac(Xi)
-        fPsi   = self%fPsi(Xi)
+        fPsi   = self%fPsi(Xi, 4)
         f      = DOT_PRODUCT(fPsi,source)
         localF = localF + f*fPsi*wTria(l)*detJ
 
@@ -818,7 +822,7 @@ MODULE moduleMesh2DCart
       !Direct method to convert coordinates
       Xi     = 0.D0
       deltaR = (/ r(1) - self%x(1), r(2) - self%y(1), 0.D0 /)
-      dPsi   = self%dPsi(Xi)
+      dPsi   = self%dPsi(Xi, 4)
       invJ   = self%invJac(Xi, dPsi)
       detJ   = self%detJac(Xi, dPsi)
       Xi     = MATMUL(invJ,deltaR)/detJ
@@ -864,7 +868,7 @@ MODULE moduleMesh2DCart
         dPsi = dPsi_in
 
       ELSE
-        dPsi = self%dPsi(Xi)
+        dPsi = self%dPsi(Xi, 4)
 
       END IF
 
@@ -889,7 +893,7 @@ MODULE moduleMesh2DCart
         dPsi=dPsi_in
 
       ELSE
-        dPsi = self%dPsi(Xi)
+        dPsi = self%dPsi(Xi, 4)
 
       END IF
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 8f1ee5f..adf5d4f 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -307,7 +307,7 @@ MODULE moduleMesh2DCyl
       !2D 1 point Gauss Quad Integral
       Xi = 0.D0
       detJ = self%detJac(Xi)*PI8 !4*2*pi
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 4)
       !Computes total volume of the cell
       r = DOT_PRODUCT(fPsi,self%r)
       self%volume  = r*detJ
@@ -328,29 +328,31 @@ MODULE moduleMesh2DCyl
     END SUBROUTINE areaQuad
 
     !Computes element functions in point Xi
-    PURE FUNCTION fPsiQuad(self, Xi) RESULT(fPsi)
+    PURE FUNCTION fPsiQuad(self, Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: fPsi(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: fPsi(1:nNodes)
 
-      fPsi(1) = (1.D0-Xi(1)) * (1.D0-Xi(2))
-      fPsi(2) = (1.D0+Xi(1)) * (1.D0-Xi(2))
-      fPsi(3) = (1.D0+Xi(1)) * (1.D0+Xi(2))
-      fPsi(4) = (1.D0-Xi(1)) * (1.D0+Xi(2))
+      fPsi = (/ (1.D0-Xi(1)) * (1.D0-Xi(2)), &
+                (1.D0+Xi(1)) * (1.D0-Xi(2)), &
+                (1.D0+Xi(1)) * (1.D0+Xi(2)), &
+                (1.D0-Xi(1)) * (1.D0+Xi(2)) /)
 
       fPsi    = fPsi*0.25D0
 
     END FUNCTION fPsiQuad
 
     !Derivative element function at coordinates Xi
-    PURE FUNCTION dPsiQuad(self, Xi) RESULT(dPsi)
+    PURE FUNCTION dPsiQuad(self, Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: dPsi(1:3,1:nNodes)
 
       dPsi = 0.D0
 
@@ -397,7 +399,7 @@ MODULE moduleMesh2DCyl
       Xi(2) = random(-1.D0, 1.D0)
       Xi(3) = 0.D0
 
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 4)
 
       r(1) = DOT_PRODUCT(fPsi, self%z)
       r(2) = DOT_PRODUCT(fPsi, self%r)
@@ -425,8 +427,8 @@ MODULE moduleMesh2DCyl
         Xi(2) = corQuad(l)
         DO m = 1, 3
           Xi(1)  = corQuad(m)
-          fPsi   = self%fPsi(Xi)
-          dPsi   = self%dPsi(Xi)
+          fPsi   = self%fPsi(Xi, 4)
+          dPsi   = self%dPsi(Xi, 4)
           detJ   = self%detJac(Xi,dPsi)
           invJ   = self%invJac(Xi,dPsi)
           r      = DOT_PRODUCT(fPsi,self%r)
@@ -461,7 +463,7 @@ MODULE moduleMesh2DCyl
         DO m = 1, 3
           Xi(2)  = corQuad(m)
           detJ   = self%detJac(Xi)
-          fPsi = self%fPsi(Xi)
+          fPsi = self%fPsi(Xi, 4)
           r      = DOT_PRODUCT(fPsi,self%r)
           f      = DOT_PRODUCT(fPsi,source)
           localF = localF + r*f*fPsi*wQuad(l)*wQuad(m)*detJ
@@ -553,10 +555,10 @@ MODULE moduleMesh2DCyl
       XiO  = 0.D0
 
       DO WHILE(conv > 1.D-2)
-        dPsi = self%dPsi(XiO)
+        dPsi = self%dPsi(XiO, 4)
         invJ = self%invJac(XiO, dPsi)
         detJ = self%detJac(XiO, dPsi)
-        fPsi = self%fPsi(XiO)
+        fPsi = self%fPsi(XiO, 4)
         f = (/ DOT_PRODUCT(fPsi,self%z), &
                DOT_PRODUCT(fPsi,self%r), &
                0.D0 /)
@@ -651,7 +653,7 @@ MODULE moduleMesh2DCyl
       Xi(2) = random( 0.D0, 1.D0 - Xi(1))
       Xi(3) = 0.D0
 
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 4)
 
       r(1) = DOT_PRODUCT(fPsi, self%z)
       r(2) = DOT_PRODUCT(fPsi, self%r)
@@ -675,7 +677,7 @@ MODULE moduleMesh2DCyl
       !2D 1 point Gauss Quad Integral
       Xi = (/1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
       detJ  = self%detJac(Xi)*PI !2PI*1/2
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 4)
       !Computes total volume of the cell
       r = DOT_PRODUCT(fPsi,self%r)
       self%volume  =      r*detJ
@@ -685,12 +687,13 @@ MODULE moduleMesh2DCyl
     END SUBROUTINE areaTria
 
     !Shape functions for triangular element
-    PURE FUNCTION fPsiTria(self, Xi) RESULT(fPsi)
+    PURE FUNCTION fPsiTria(self, Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
       CLASS(meshCell2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: fPsi(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: fPsi(1:nNodes)
 
       fPsi(1) = 1.D0 - Xi(1) - Xi(2)
       fPsi(2) =        Xi(1)
@@ -699,12 +702,13 @@ MODULE moduleMesh2DCyl
     END FUNCTION fPsiTria
 
     !Derivative element function at coordinates Xi
-    PURE FUNCTION dPsiTria(self, Xi) RESULT(dPsi)
+    PURE FUNCTION dPsiTria(self, Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
       CLASS(meshCell2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: dPsi(1:3,1:nNodes)
 
       dPsi = 0.D0
 
@@ -746,10 +750,10 @@ MODULE moduleMesh2DCyl
       DO l=1, 4
         Xi(1)  = Xi1Tria(l)
         Xi(2)  = Xi2Tria(l)
-        dPsi   = self%dPsi(Xi)
+        dPsi   = self%dPsi(Xi, 4)
         detJ   = self%detJac(Xi,dPsi)
         invJ   = self%invJac(Xi,dPsi)
-        fPsi   = self%fPsi(Xi)
+        fPsi   = self%fPsi(Xi, 4)
         r      = DOT_PRODUCT(fPsi,self%r)
         localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*r*wTria(l)/detJ
 
@@ -779,7 +783,7 @@ MODULE moduleMesh2DCyl
         Xi(1)  = Xi1Tria(l)
         Xi(2)  = Xi2Tria(l)
         detJ   = self%detJac(Xi)
-        fPsi   = self%fPsi(Xi)
+        fPsi   = self%fPsi(Xi, 4)
         r      = DOT_PRODUCT(fPsi,self%r)
         f      = DOT_PRODUCT(fPsi,source)
         localF = localF + r*f*fPsi*wTria(l)*detJ
@@ -864,7 +868,7 @@ MODULE moduleMesh2DCyl
       !Direct method to convert coordinates
       Xi     = 0.D0
       deltaR = (/ r(1) - self%z(1), r(2) - self%r(1), 0.D0 /)
-      dPsi   = self%dPsi(Xi)
+      dPsi   = self%dPsi(Xi, 4)
       invJ   = self%invJac(Xi, dPsi)
       detJ   = self%detJac(Xi, dPsi)
       Xi     = MATMUL(invJ,deltaR)/detJ
@@ -910,7 +914,7 @@ MODULE moduleMesh2DCyl
         dPsi = dPsi_in
 
       ELSE
-        dPsi = self%dPsi(Xi)
+        dPsi = self%dPsi(Xi, 4)
 
       END IF
 
@@ -935,7 +939,7 @@ MODULE moduleMesh2DCyl
         dPsi=dPsi_in
 
       ELSE
-        dPsi = self%dPsi(Xi)
+        dPsi = self%dPsi(Xi, 4)
 
       END IF
 
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 9bd6468..3018989 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -270,7 +270,7 @@ MODULE moduleMesh3DCart
 
       !Assign proportional volume to each node
       Xi = (/0.25D0, 0.25D0, 0.25D0/)
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 4)
       volNodes = fPsi*self%volume
       self%n1%v = self%n1%v + volNodes(1)
       self%n2%v = self%n2%v + volNodes(2)
@@ -298,7 +298,7 @@ MODULE moduleMesh3DCart
       Xi(2) = random( 0.D0, 1.D0 - Xi(1))
       Xi(3) = random( 0.D0, 1.D0 - Xi(1) - Xi(2))
 
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 4)
 
       r = (/ DOT_PRODUCT(fPsi, self%x), &
              DOT_PRODUCT(fPsi, self%y), &
@@ -320,12 +320,13 @@ MODULE moduleMesh3DCart
     END SUBROUTINE volumeTetra
 
     !Computes element functions in point Xi
-    PURE FUNCTION fPsiTetra(self, Xi) RESULT(fPsi)
+    PURE FUNCTION fPsiTetra(self, Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
       CLASS(meshCell3DCartTetra), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: fPsi(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: fPsi(1:nNodes)
 
       fPsi(1) = 1.D0 - Xi(1) - Xi(2) - Xi(3)
       fPsi(2) =        Xi(1)
@@ -335,12 +336,13 @@ MODULE moduleMesh3DCart
     END FUNCTION fPsiTetra
 
     !Derivative element function at coordinates Xi
-    PURE FUNCTION dPsiTetra(self, Xi) RESULT(dPsi)
+    PURE FUNCTION dPsiTetra(self, Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
       CLASS(meshCell3DCartTetra), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: dPsi(1:3, 1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: dPsi(1:3, 1:nNodes)
 
       dPsi = 0.D0
 
@@ -424,10 +426,10 @@ MODULE moduleMesh3DCart
       Xi    = 0.D0
       !TODO: One point Gauss integral. Upgrade when possible
       Xi    = (/ 0.25D0, 0.25D0, 0.25D0 /)
-      dPsi   = self%dPsi(Xi)
+      dPsi   = self%dPsi(Xi, 4)
       detJ   = self%detJac(Xi, dPsi)
       invJ   = self%invJac(Xi, dPsi)
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 4)
       localK = MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*1.D0/detJ
 
     END FUNCTION elemKTetra
@@ -445,9 +447,9 @@ MODULE moduleMesh3DCart
       localF = 0.D0
       Xi   = 0.D0
       Xi   = (/ 0.25D0, 0.25D0, 0.25D0 /)
-      dPsi = self%dPsi(Xi)
+      dPsi = self%dPsi(Xi, 4)
       detJ = self%detJac(Xi, dPsi)
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, 4)
       f    = DOT_PRODUCT(fPsi, source)
       localF = f*fPsi*1.D0*detJ
 
@@ -530,7 +532,7 @@ MODULE moduleMesh3DCart
 
       Xi     = 0.D0
       deltaR = (/r(1) - self%x(1), r(2) - self%y(1), r(3) - self%z(1) /)
-      dPsi   = self%dPsi(Xi)
+      dPsi   = self%dPsi(Xi, 4)
       invJ   = self%invJac(Xi, dPsi)
       detJ   = self%detJac(Xi, dPsi)
       Xi     = MATMUL(invJ, deltaR)/detJ
@@ -579,7 +581,7 @@ MODULE moduleMesh3DCart
         dPsi = dPsi_in
 
       ELSE
-        dPsi = self%dPsi(Xi)
+        dPsi = self%dPsi(Xi, 4)
 
       END IF
 
@@ -604,7 +606,7 @@ MODULE moduleMesh3DCart
         dPsi=dPsi_in
 
       ELSE
-        dPsi = self%dPsi(Xi)
+        dPsi = self%dPsi(Xi, 4)
 
       END IF
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index d0a03f4..aeba4ba 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -215,19 +215,21 @@ MODULE moduleMesh
 
     END FUNCTION getNodesVol_interface
 
-    PURE FUNCTION fPsi_interface(self, Xi) RESULT(fPsi)
+    PURE FUNCTION fPsi_interface(self, Xi, nNodes) RESULT(fPsi)
       IMPORT:: meshCell
       CLASS(meshCell), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: fPsi(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: fPsi(1:nNodes)
 
     END FUNCTION fPsi_interface
 
-    PURE FUNCTION dPsi_interface(self, Xi) RESULT(dPsi)
+    PURE FUNCTION dPsi_interface(self, Xi, nNodes) RESULT(dPsi)
       IMPORT:: meshCell
       CLASS(meshCell), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8):: dPsi(1:3, 1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: dPsi(1:3, 1:nNodes)
 
     END FUNCTION dPsi_interface
 
@@ -530,7 +532,7 @@ MODULE moduleMesh
       REAL(8):: f
       REAL(8):: fPsi(1:self%nNodes)
 
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, self%nNodes)
       f = DOT_PRODUCT(fPsi, valNodes)
 
     END FUNCTION gatherF_scalar
@@ -546,7 +548,7 @@ MODULE moduleMesh
       REAL(8):: f(1:n)
       REAL(8):: fPsi(1:self%nNodes)
 
-      fPsi = self%fPsi(Xi)
+      fPsi = self%fPsi(Xi, self%nNodes)
       f = MATMUL(fPsi, valNodes)
 
     END FUNCTION gatherF_array
@@ -563,7 +565,7 @@ MODULE moduleMesh
       REAL(8):: dPsiR(1:3, 1:self%nNodes)
       REAL(8):: invJ(1:3, 1:3), detJ
 
-      dPsi  = self%dPsi(Xi)
+      dPsi  = self%dPsi(Xi, self%nNodes)
       detJ  = self%detJac(Xi, dPsi)
       invJ  = self%invJac(Xi, dPsi)
       dPsiR =  MATMUL(invJ, dPsi)/detJ
@@ -590,7 +592,7 @@ MODULE moduleMesh
       CLASS(meshNode), POINTER:: node
 
       cellNodes = self%getNodes()
-      fPsi = self%fPsi(part%Xi)
+      fPsi = self%fPsi(part%Xi, self%nNodes)
 
       tensorS = outerProduct(part%v, part%v)
 

From 7f6afd6a874a0a8ceaa6bf0c9417ccee64fcc797 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Thu, 5 Jan 2023 22:43:51 +0100
Subject: [PATCH 075/203] Mark_1

First thing that I am kinda happy with.

Still some things to improve but at least push is good.
---
 src/modules/init/moduleInput.f90              |   2 +-
 src/modules/mesh/0D/moduleMesh0D.f90          |  31 +++--
 src/modules/mesh/1DCart/moduleMesh1DCart.f90  |  64 +++++-----
 src/modules/mesh/1DRad/moduleMesh1DRad.f90    |  68 +++++-----
 src/modules/mesh/2DCart/moduleMesh2DCart.f90  | 115 +++++++++--------
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    | 118 ++++++++++--------
 src/modules/mesh/3DCart/moduleMesh3DCart.f90  |  74 ++++++-----
 src/modules/mesh/moduleMesh.f90               | 102 ++++++++-------
 src/modules/mesh/moduleMeshBoundary.f90       |   4 +-
 .../solver/electromagnetic/moduleEM.f90       |  12 +-
 src/modules/solver/moduleSolver.f90           |   4 +-
 11 files changed, 336 insertions(+), 258 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 1a439cc..0f409fb 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -359,8 +359,8 @@ MODULE moduleInput
           DO e = 1, mesh%numCells
             !Scale variables
             !Density at centroid of cell
-            nodes = mesh%cells(e)%obj%getNodes()
             nNodes = mesh%cells(e)%obj%nNodes
+            nodes = mesh%cells(e)%obj%getNodes(nNodes)
             ALLOCATE(fPsi(1:nNodes))
             fPsi = mesh%cells(e)%obj%fPsi((/0.D0, 0.D0, 0.D0/), nNodes)
             ALLOCATE(source(1:nNodes))
diff --git a/src/modules/mesh/0D/moduleMesh0D.f90 b/src/modules/mesh/0D/moduleMesh0D.f90
index 65b13a3..5f89f20 100644
--- a/src/modules/mesh/0D/moduleMesh0D.f90
+++ b/src/modules/mesh/0D/moduleMesh0D.f90
@@ -89,11 +89,12 @@ MODULE moduleMesh0D
 
     END SUBROUTINE initCell0D
 
-    PURE FUNCTION getNodes0D(self) RESULT(n)
+    PURE FUNCTION getNodes0D(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshCell0D), INTENT(in):: self
-      INTEGER:: n(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
       n = self%n1%n
 
@@ -133,46 +134,50 @@ MODULE moduleMesh0D
 
     END FUNCTION dPsi0D
 
-    PURE FUNCTION detJ0D(self, Xi, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ0D(self, Xi, nNodes, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
       CLASS(meshCell0D), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
       REAL(8):: dJ
 
       dJ = 0.D0
 
     END FUNCTION detJ0D
 
-    PURE FUNCTION invJ0D(self, Xi, dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ0D(self, Xi, nNodes, dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
       CLASS(meshCell0D), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
       REAL(8):: invJ(1:3,1:3)
 
       invJ = 0.D0
 
     END FUNCTION invJ0D
 
-    PURE FUNCTION elemK0D(self) RESULT(localK)
+    PURE FUNCTION elemK0D(self, nNodes) RESULT(localK)
       IMPLICIT NONE
 
       CLASS(meshCell0D), INTENT(in):: self
-      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
 
       localK = 0.D0
 
     END FUNCTION elemK0D
 
-    PURE FUNCTION elemF0D(self, source) RESULT(localF)
+    PURE FUNCTION elemF0D(self, nNodes, source) RESULT(localF)
       IMPLICIT NONE
 
       CLASS(meshCell0D), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:self%nNodes)
-      REAL(8):: localF(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
 
       localF = 0.D0
 
@@ -187,7 +192,7 @@ MODULE moduleMesh0D
 
       phi = (/ self%n1%emData%phi /)
 
-      array = -self%gatherDF(Xi, phi)
+      array = -self%gatherDF(Xi, 1, phi)
 
     END FUNCTION gatherEF0D
 
@@ -204,7 +209,7 @@ MODULE moduleMesh0D
 
       B(:,3) = (/ self%n1%emData%B(3) /)
 
-      array = self%gatherF(Xi, 3, B)
+      array = self%gatherF(Xi, 1, B)
 
     END FUNCTION gatherMF0D
 
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 982c703..56d1b65 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -41,10 +41,11 @@ MODULE moduleMesh1DCart
   END TYPE meshCell1DCart
 
   ABSTRACT INTERFACE
-    PURE SUBROUTINE partialDer_interface(self, dPsi, dx)
+    PURE SUBROUTINE partialDer_interface(self, nNodes, dPsi, dx)
       IMPORT meshCell1DCart
       CLASS(meshCell1DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
       REAL(8), INTENT(out), DIMENSION(1):: dx
 
     END SUBROUTINE partialDer_interface
@@ -129,6 +130,7 @@ MODULE moduleMesh1DCart
       INTEGER:: s
 
       self%n = n
+      self%nNodes = SIZE(p)
       self%n1 => mesh%nodes(p(1))%obj
       !Get element coordinates
       r1 = self%n1%getCoordinates()
@@ -152,13 +154,13 @@ MODULE moduleMesh1DCart
     END SUBROUTINE initEdge1DCart
 
     !Get nodes from edge
-    PURE FUNCTION getNodes1DCart(self) RESULT(n)
+    PURE FUNCTION getNodes1DCart(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshEdge1DCart), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
-      ALLOCATE(n(1))
       n = (/ self%n1%n /)
 
     END FUNCTION getNodes1DCart
@@ -250,7 +252,7 @@ MODULE moduleMesh1DCart
       !1 point Gauss integral
       Xi = 0.D0
       fPsi = self%fPsi(Xi, 2)
-      detJ = self%detJac(Xi)
+      detJ = self%detJac(Xi, 2)
       l = 2.D0*detJ
       self%volume  =      l
       self%arNodes = fPsi*l
@@ -290,11 +292,12 @@ MODULE moduleMesh1DCart
     END FUNCTION dPsiSegm
 
     !Computes partial derivatives of coordinates
-    PURE SUBROUTINE partialDerSegm(self, dPsi, dx)
+    PURE SUBROUTINE partialDerSegm(self, nNodes, dPsi, dx)
       IMPLICIT NONE
 
       CLASS(meshCell1DCartSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
       REAL(8), INTENT(out), DIMENSION(1):: dx
 
       dx(1) = DOT_PRODUCT(dPsi(1,:), self%x)
@@ -302,11 +305,12 @@ MODULE moduleMesh1DCart
     END SUBROUTINE partialDerSegm
 
     !Computes local stiffness matrix
-    PURE FUNCTION elemKSegm(self) RESULT(localK)
+    PURE FUNCTION elemKSegm(self, nNodes) RESULT(localK)
       IMPLICIT NONE
 
       CLASS(meshCell1DCartSegm), INTENT(in):: self
-      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
       REAL(8):: Xi(1:3)
       REAL(8):: dPsi(1:3, 1:2)
       REAL(8):: invJ(1:3,1:3), detJ
@@ -317,8 +321,8 @@ MODULE moduleMesh1DCart
       DO l = 1, 3
         Xi(1) = corSeg(l)
         dPsi    = self%dPsi(Xi, 2)
-        detJ    = self%detJac(Xi, dPsi)
-        invJ    = self%invJac(Xi, dPsi)
+        detJ    = self%detJac(Xi, 2, dPsi)
+        invJ    = self%invJac(Xi, 2, dPsi)
         localK  = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
                                   RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
                            wSeg(l)/detJ
@@ -327,12 +331,13 @@ MODULE moduleMesh1DCart
 
     END FUNCTION elemKSegm
 
-    PURE FUNCTION elemFSegm(self, source) RESULT(localF)
+    PURE FUNCTION elemFSegm(self, nNodes, source) RESULT(localF)
       IMPLICIT NONE
 
       CLASS(meshCell1DCartSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:self%nNodes)
-      REAL(8):: localF(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
       REAL(8):: fPsi(1:2)
       REAL(8):: detJ, f
       REAL(8):: Xi(1:3)
@@ -343,7 +348,7 @@ MODULE moduleMesh1DCart
 
       DO l = 1, 3
         Xi(1) = corSeg(l)
-        detJ   = self%detJac(Xi)
+        detJ   = self%detJac(Xi, 2)
         fPsi = self%fPsi(Xi, 2)
         f      = DOT_PRODUCT(fPsi, source)
         localF = localF + f*fPsi*wSeg(l)*detJ
@@ -362,7 +367,7 @@ MODULE moduleMesh1DCart
       phi = (/ self%n1%emData%phi, &
                self%n2%emData%phi /)
 
-      array = -self%gatherDF(Xi, phi)
+      array = -self%gatherDF(Xi, 2, phi)
 
     END FUNCTION gatherEFSegm
 
@@ -382,7 +387,7 @@ MODULE moduleMesh1DCart
       B(:,3) = (/ self%n1%emData%B(3), &
                   self%n2%emData%B(3) /)
 
-      array = self%gatherF(Xi, 3, B)
+      array = self%gatherF(Xi, 2, B)
 
     END FUNCTION gatherMFSegm
 
@@ -398,11 +403,12 @@ MODULE moduleMesh1DCart
     END FUNCTION insideSegm
 
     !Get nodes from 1D volume
-    PURE FUNCTION getNodesSegm(self) RESULT(n)
+    PURE FUNCTION getNodesSegm(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshCell1DCartSegm), INTENT(in):: self
-      INTEGER:: n(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
       n = (/ self%n1%n, self%n2%n /)
 
@@ -442,13 +448,14 @@ MODULE moduleMesh1DCart
     !COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
     !Calculates a random position in 1D volume
     !Computes the element Jacobian determinant
-    PURE FUNCTION detJ1DCart(self, Xi, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ1DCart(self, Xi, nNodes, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
       CLASS(meshCell1DCart), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
+      REAL(8):: dPsi(1:3,1:nNodes)
       REAL(8):: dJ
       REAL(8):: dx(1)
 
@@ -460,20 +467,21 @@ MODULE moduleMesh1DCart
 
       END IF
 
-      CALL self%partialDer(dPsi, dx)
+      CALL self%partialDer(2, dPsi, dx)
       dJ = dx(1)
 
     END FUNCTION detJ1DCart
 
     !Computes the invers Jacobian
-    PURE FUNCTION invJ1DCart(self, Xi, dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ1DCart(self, Xi, nNodes, dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
       CLASS(meshCell1DCart), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
       REAL(8):: invJ(1:3,1:3)
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      REAL(8):: dPsi(1:3,1:nNodes)
       REAL(8):: dx(1)
 
       IF (PRESENT(dPsi_in)) THEN
@@ -486,7 +494,7 @@ MODULE moduleMesh1DCart
 
       invJ = 0.D0
 
-      CALL self%partialDer(dPsi, dx)
+      CALL self%partialDer(2, dPsi, dx)
 
       invJ(1,1) = 1.D0/dx(1)
 
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 1ce7836..8b441be 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -41,11 +41,12 @@ MODULE moduleMesh1DRad
   END TYPE meshCell1DRad
 
   ABSTRACT INTERFACE
-    PURE SUBROUTINE partialDer_interface(self, dPsi, dx)
+    PURE SUBROUTINE partialDer_interface(self, nNodes, dPsi, dx)
       IMPORT meshCell1DRad
 
       CLASS(meshCell1DRad), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
       REAL(8), INTENT(out), DIMENSION(1):: dx
 
     END SUBROUTINE partialDer_interface
@@ -130,6 +131,7 @@ MODULE moduleMesh1DRad
       INTEGER:: s
 
       self%n = n
+      self%nNodes = SIZE(p)
       self%n1 => mesh%nodes(p(1))%obj
       !Get element coordinates
       r1 = self%n1%getCoordinates()
@@ -154,13 +156,13 @@ MODULE moduleMesh1DRad
     END SUBROUTINE initEdge1DRad
 
     !Get nodes from edge
-    PURE FUNCTION getNodes1DRad(self) RESULT(n)
+    PURE FUNCTION getNodes1DRad(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshEdge1DRad), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
-      ALLOCATE(n(1))
       n = (/ self%n1%n /)
 
     END FUNCTION getNodes1DRad
@@ -253,17 +255,17 @@ MODULE moduleMesh1DRad
       !1 point Gauss integral
       Xi = 0.D0
       fPsi = self%fPsi(Xi, 2)
-      detJ = self%detJac(Xi)
+      detJ = self%detJac(Xi, 2)
       !Computes total volume of the cell
       r    = DOT_PRODUCT(fPsi, self%r)
       l = 2.D0*detJ
       self%volume  = r*l
       !Computes volume per node
       Xi = (/-5.D-1,  0.D0, 0.D0/)
-      r = self%gatherF(Xi, self%r)
+      r = self%gatherF(Xi, 2, self%r)
       self%arNodes(1) = fPsi(1)*r*l
       Xi = (/ 5.D-1,  0.D0, 0.D0/)
-      r = self%gatherF(Xi, self%r)
+      r = self%gatherF(Xi, 2, self%r)
       self%arNodes(2) = fPsi(2)*r*l
 
     END SUBROUTINE areaRad
@@ -301,11 +303,12 @@ MODULE moduleMesh1DRad
     END FUNCTION dPsiRad
 
     !Computes partial derivatives of coordinates
-    PURE SUBROUTINE partialDerRad(self, dPsi, dx)
+    PURE SUBROUTINE partialDerRad(self, nNodes, dPsi, dx)
       IMPLICIT NONE
 
       CLASS(meshCell1DRadSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
       REAL(8), INTENT(out), DIMENSION(1):: dx
 
       dx(1) = DOT_PRODUCT(dPsi(1,:), self%r)
@@ -313,12 +316,13 @@ MODULE moduleMesh1DRad
     END SUBROUTINE partialDerRad
 
     !Computes local stiffness matrix
-    PURE FUNCTION elemKRad(self) RESULT(localK)
+    PURE FUNCTION elemKRad(self, nNodes) RESULT(localK)
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
       CLASS(meshCell1DRadSegm), INTENT(in):: self
-      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
       REAL(8):: Xi(1:3)
       REAL(8):: dPsi(1:3, 1:2)
       REAL(8):: invJ(1:3,1:3), detJ
@@ -330,8 +334,8 @@ MODULE moduleMesh1DRad
       DO l = 1, 3
         Xi(1)  = corSeg(l)
         dPsi   = self%dPsi(Xi, 2)
-        detJ   = self%detJac(Xi, dPsi)
-        invJ   = self%invJac(Xi, dPsi)
+        detJ   = self%detJac(Xi, 2, dPsi)
+        invJ   = self%invJac(Xi, 2, dPsi)
         fPsi   = self%fPsi(Xi, 2)
         r      = DOT_PRODUCT(fPsi, self%r)
         localK = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
@@ -344,13 +348,14 @@ MODULE moduleMesh1DRad
 
     END FUNCTION elemKRad
 
-    PURE FUNCTION elemFRad(self, source) RESULT(localF)
+    PURE FUNCTION elemFRad(self, nNodes, source) RESULT(localF)
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
       CLASS(meshCell1DRadSegm), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:self%nNodes)
-      REAL(8):: localF(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
       REAL(8):: fPsi(1:2)
       REAL(8):: detJ, f, r
       REAL(8):: Xi(1:3)
@@ -361,7 +366,7 @@ MODULE moduleMesh1DRad
 
       DO l = 1, 3
         Xi(1) = corSeg(l)
-        detJ   = self%detJac(Xi)
+        detJ   = self%detJac(Xi, 2)
         fPsi   = self%fPsi(Xi, 2)
         r      = DOT_PRODUCT(fPsi, self%r)
         f      = DOT_PRODUCT(fPsi, source)
@@ -381,7 +386,7 @@ MODULE moduleMesh1DRad
       phi = (/ self%n1%emData%phi, &
                self%n2%emData%phi /)
 
-      array = -self%gatherDF(Xi, phi)
+      array = -self%gatherDF(Xi, 2, phi)
 
     END FUNCTION gatherEFRad
 
@@ -401,7 +406,7 @@ MODULE moduleMesh1DRad
       B(:,3) = (/ self%n1%emData%B(3), &
                   self%n2%emData%B(3) /)
 
-      array = self%gatherF(Xi, 3, B)
+      array = self%gatherF(Xi, 2, B)
 
     END FUNCTION gatherMFRad
 
@@ -417,11 +422,12 @@ MODULE moduleMesh1DRad
     END FUNCTION insideRad
 
     !Get nodes from 1D volume
-    PURE FUNCTION getNodesRad(self) RESULT(n)
+    PURE FUNCTION getNodesRad(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshCell1DRadSegm), INTENT(in):: self
-      INTEGER:: n(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
       n = (/ self%n1%n, self%n2%n /)
 
@@ -460,13 +466,14 @@ MODULE moduleMesh1DRad
 
     !COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
     !Computes the element Jacobian determinant
-    PURE FUNCTION detJ1DRad(self, Xi, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ1DRad(self, Xi, nNodes, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
       CLASS(meshCell1DRad), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
+      REAL(8):: dPsi(1:3,1:nNodes)
       REAL(8):: dJ
       REAL(8):: dx(1)
 
@@ -478,19 +485,20 @@ MODULE moduleMesh1DRad
 
       END IF
 
-      CALL self%partialDer(dPsi, dx)
+      CALL self%partialDer(nNodes, dPsi, dx)
       dJ = dx(1)
 
     END FUNCTION detJ1DRad
 
     !Computes the invers Jacobian
-    PURE FUNCTION invJ1DRad(self, Xi, dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ1DRad(self, Xi, nNodes, dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
       CLASS(meshCell1DRad), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
+      REAL(8):: dPsi(1:3,1:nNodes)
       REAL(8):: dx(1)
       REAL(8):: invJ(1:3,1:3)
 
@@ -504,7 +512,7 @@ MODULE moduleMesh1DRad
 
       invJ = 0.D0
 
-      CALL self%partialDer(dPsi, dx)
+      CALL self%partialDer(nNodes, dPsi, dx)
 
       invJ(1,1) = 1.D0/dx(1)
 
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 649b8fb..2ccde7d 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -46,10 +46,11 @@ MODULE moduleMesh2DCart
   END TYPE meshCell2DCart
 
   ABSTRACT INTERFACE
-    PURE SUBROUTINE partialDer_interface(self, dPsi, dx, dy)
+    PURE SUBROUTINE partialDer_interface(self, nNodes, dPsi, dx, dy)
       IMPORT meshCell2DCart
       CLASS(meshCell2DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dx, dy
 
     END SUBROUTINE partialDer_interface
@@ -166,6 +167,7 @@ MODULE moduleMesh2DCart
       INTEGER:: s
 
       self%n  = n
+      self%nNodes = SIZE(p)
       self%n1 => mesh%nodes(p(1))%obj
       self%n2 => mesh%nodes(p(2))%obj
       !Get element coordinates
@@ -194,13 +196,13 @@ MODULE moduleMesh2DCart
     END SUBROUTINE initEdge2DCart
 
     !Get nodes from edge
-    PURE FUNCTION getNodes2DCart(self) RESULT(n)
+    PURE FUNCTION getNodes2DCart(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshEdge2DCart), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
-      ALLOCATE(n(1:2))
       n = (/self%n1%n, self%n2%n /)
 
     END FUNCTION getNodes2DCart
@@ -255,8 +257,13 @@ MODULE moduleMesh2DCart
       TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3, r4
 
+      !Assign node index
       self%n  = n
+
+      !Assign number of nodes of cell
       self%nNodes = SIZE(p)
+
+      !Assign nodes to element
       self%n1 => nodes(p(1))%obj
       self%n2 => nodes(p(2))%obj
       self%n3 => nodes(p(3))%obj
@@ -296,7 +303,7 @@ MODULE moduleMesh2DCart
       self%arNodes = 0.D0
       !2D 1 point Gauss Quad Integral
       Xi = 0.D0
-      detJ = self%detJac(Xi)*4.D0 !4
+      detJ = self%detJac(Xi, 4)*4.D0 !4
       fPsi = self%fPsi(Xi, 4)
       self%volume  =      detJ
       self%arNodes = fPsi*detJ
@@ -347,11 +354,12 @@ MODULE moduleMesh2DCart
     END FUNCTION dPsiQuad
 
     !Partial derivative in global coordinates
-    PURE SUBROUTINE partialDerQuad(self, dPsi, dx, dy)
+    PURE SUBROUTINE partialDerQuad(self, nNodes, dPsi, dx, dy)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dx, dy
 
       dx = (/ DOT_PRODUCT(dPsi(1,1:4),self%x(1:4)), &
@@ -384,11 +392,12 @@ MODULE moduleMesh2DCart
     END FUNCTION randPosCellQuad
 
     !Computes element local stiffness matrix
-    PURE FUNCTION elemKQuad(self) RESULT(localK)
+    PURE FUNCTION elemKQuad(self, nNodes) RESULT(localK)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartQuad), INTENT(in):: self
-      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
       REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4), dPsi(1:3,1:4)
       REAL(8):: invJ(1:3,1:3), detJ
@@ -403,8 +412,8 @@ MODULE moduleMesh2DCart
           Xi(1)  = corQuad(m)
           fPsi   = self%fPsi(Xi, 4)
           dPsi   = self%dPsi(Xi, 4)
-          detJ   = self%detJac(Xi,dPsi)
-          invJ   = self%invJac(Xi,dPsi)
+          detJ   = self%detJac(Xi, 4, dPsi)
+          invJ   = self%invJac(Xi, 4, dPsi)
           localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
                                              MATMUL(invJ,dPsi))* &
                             wQuad(l)*wQuad(m)/detJ
@@ -415,12 +424,13 @@ MODULE moduleMesh2DCart
     END FUNCTION elemKQuad
 
     !Computes the local source vector for a force f
-    PURE FUNCTION elemFQuad(self, source) RESULT(localF)
+    PURE FUNCTION elemFQuad(self, nNodes, source) RESULT(localF)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:self%nNodes)
-      REAL(8):: localF(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
       REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4)
       REAL(8):: detJ, f
@@ -432,7 +442,7 @@ MODULE moduleMesh2DCart
         Xi(1) = corQuad(l)
         DO m = 1, 3
           Xi(2)  = corQuad(m)
-          detJ   = self%detJac(Xi)
+          detJ   = self%detJac(Xi, 4)
           fPsi = self%fPsi(Xi, 4)
           f      = DOT_PRODUCT(fPsi,source)
           localF = localF + f*fPsi*wQuad(l)*wQuad(m)*detJ
@@ -454,7 +464,7 @@ MODULE moduleMesh2DCart
                self%n3%emData%phi, &
                self%n4%emData%phi /)
 
-      array = -self%gatherDF(Xi, phi)
+      array = -self%gatherDF(Xi, 4, phi)
 
     END FUNCTION gatherEFQuad
 
@@ -480,7 +490,7 @@ MODULE moduleMesh2DCart
                   self%n3%emData%B(3), &
                   self%n4%emData%B(3) /)
 
-      array = self%gatherF(Xi, 3, B)
+      array = self%gatherF(Xi, 4, B)
 
     END FUNCTION gatherMFQuad
 
@@ -497,11 +507,12 @@ MODULE moduleMesh2DCart
     END FUNCTION insideQuad
 
     !Gets nodes from quadrilateral element
-    PURE FUNCTION getNodesQuad(self) RESULT(n)
+    PURE FUNCTION getNodesQuad(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartQuad), INTENT(in):: self
-      INTEGER:: n(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
       n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
 
@@ -524,7 +535,7 @@ MODULE moduleMesh2DCart
 
       DO WHILE(conv > 1.D-2)
         dPsi = self%dPsi(XiO, 4)
-        invJ = self%invJac(XiO, dPsi)
+        invJ = self%invJac(XiO, 4, dPsi)
         fPsi = self%fPsi(XiO, 4)
         f = (/ DOT_PRODUCT(fPsi,self%x), &
                DOT_PRODUCT(fPsi,self%y), &
@@ -641,7 +652,7 @@ MODULE moduleMesh2DCart
       self%arNodes = 0.D0
       !2D 1 point Gauss Quad Integral
       Xi = (/1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
-      detJ  = self%detJac(Xi)/2.D0 
+      detJ  = self%detJac(Xi, 4)/2.D0 
       fPsi = self%fPsi(Xi, 4)
       self%volume  =      detJ
       self%arNodes = fPsi*detJ
@@ -679,11 +690,12 @@ MODULE moduleMesh2DCart
 
     END FUNCTION dPsiTria
 
-    PURE SUBROUTINE partialDerTria(self, dPsi, dx, dy)
+    PURE SUBROUTINE partialDerTria(self, nNodes, dPsi, dx, dy)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartTria), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dx, dy
 
       dx = (/ DOT_PRODUCT(dPsi(1,:),self%x), &
@@ -694,11 +706,12 @@ MODULE moduleMesh2DCart
     END SUBROUTINE partialDerTria
 
     !Computes element local stiffness matrix
-    PURE FUNCTION elemKTria(self) RESULT(localK)
+    PURE FUNCTION elemKTria(self, nNodes) RESULT(localK)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartTria), INTENT(in):: self
-      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
       REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:3), dPsi(1:3,1:3)
       REAL(8):: invJ(1:3,1:3), detJ
@@ -710,10 +723,10 @@ MODULE moduleMesh2DCart
       DO l=1, 4
         Xi(1)  = Xi1Tria(l)
         Xi(2)  = Xi2Tria(l)
-        dPsi   = self%dPsi(Xi, 4)
-        detJ   = self%detJac(Xi,dPsi)
-        invJ   = self%invJac(Xi,dPsi)
-        fPsi   = self%fPsi(Xi, 4)
+        dPsi   = self%dPsi(Xi, 3)
+        detJ   = self%detJac(Xi, 3, dPsi)
+        invJ   = self%invJac(Xi, 3, dPsi)
+        fPsi   = self%fPsi(Xi, 3)
         localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wTria(l)/detJ
 
       END DO
@@ -721,12 +734,13 @@ MODULE moduleMesh2DCart
     END FUNCTION elemKTria
 
     !Computes element local source vector
-    PURE FUNCTION elemFTria(self, source) RESULT(localF)
+    PURE FUNCTION elemFTria(self, nNodes, source) RESULT(localF)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartTria), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:self%nNodes)
-      REAL(8):: localF(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
       REAL(8):: fPsi(1:3)
       REAL(8):: Xi(1:3)
       REAL(8):: detJ, f
@@ -738,8 +752,8 @@ MODULE moduleMesh2DCart
       DO l=1, 4
         Xi(1)  = Xi1Tria(l)
         Xi(2)  = Xi2Tria(l)
-        detJ   = self%detJac(Xi)
-        fPsi   = self%fPsi(Xi, 4)
+        detJ   = self%detJac(Xi, 3)
+        fPsi   = self%fPsi(Xi, 3)
         f      = DOT_PRODUCT(fPsi,source)
         localF = localF + f*fPsi*wTria(l)*detJ
 
@@ -758,7 +772,7 @@ MODULE moduleMesh2DCart
                self%n2%emData%phi, &
                self%n3%emData%phi /)
 
-      array = -self%gatherDF(Xi, phi)
+      array = -self%gatherDF(Xi, 3, phi)
 
     END FUNCTION gatherEFTria
 
@@ -798,11 +812,12 @@ MODULE moduleMesh2DCart
     END FUNCTION insideTria
 
     !Gets node indexes from triangular element
-    PURE FUNCTION getNodesTria(self) RESULT(n)
+    PURE FUNCTION getNodesTria(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartTria), INTENT(in):: self
-      INTEGER:: n(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
       n = (/self%n1%n, self%n2%n, self%n3%n /)
 
@@ -822,9 +837,9 @@ MODULE moduleMesh2DCart
       !Direct method to convert coordinates
       Xi     = 0.D0
       deltaR = (/ r(1) - self%x(1), r(2) - self%y(1), 0.D0 /)
-      dPsi   = self%dPsi(Xi, 4)
-      invJ   = self%invJac(Xi, dPsi)
-      detJ   = self%detJac(Xi, dPsi)
+      dPsi   = self%dPsi(Xi, 3)
+      invJ   = self%invJac(Xi, 3, dPsi)
+      detJ   = self%detJac(Xi, 3, dPsi)
       Xi     = MATMUL(invJ,deltaR)/detJ
 
     END FUNCTION phy2logTria
@@ -854,14 +869,15 @@ MODULE moduleMesh2DCart
 
     !COMMON FUNCTIONS FOR CARTESIAN VOLUME ELEMENTS IN 2D
     !Computes element Jacobian determinant
-    PURE FUNCTION detJ2DCart(self, Xi, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ2DCart(self, Xi, nNodes, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
       CLASS(meshCell2DCart), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
       REAL(8):: dJ
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      REAL(8):: dPsi(1:3,1:nNodes)
       REAL(8):: dx(1:2), dy(1:2)
 
       IF(PRESENT(dPsi_in)) THEN
@@ -872,21 +888,22 @@ MODULE moduleMesh2DCart
 
       END IF
 
-      CALL self%partialDer(dPsi, dx, dy)
+      CALL self%partialDer(nNodes, dPsi, dx, dy)
 
       dJ = dx(1)*dy(2)-dx(2)*dy(1)
 
     END FUNCTION detJ2DCart
 
     !Computes element Jacobian inverse matrix (without determinant)
-    PURE FUNCTION invJ2DCart(self,Xi,dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ2DCart(self, Xi, nNodes, dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
       CLASS(meshCell2DCart), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
       REAL(8):: invJ(1:3,1:3)
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      REAL(8):: dPsi(1:3,1:nNodes)
       REAL(8):: dx(1:2), dy(1:2)
 
       IF(PRESENT(dPsi_in)) THEN
@@ -899,7 +916,7 @@ MODULE moduleMesh2DCart
 
       invJ = 0.D0
 
-      CALL self%partialDer(dPsi, dx, dy)
+      CALL self%partialDer(nNodes, dPsi, dx, dy)
 
       invJ(1,1:2) = (/  dy(2), -dx(2) /)
       invJ(2,1:2) = (/ -dy(1),  dx(1) /)
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index adf5d4f..d33fbbf 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -46,10 +46,11 @@ MODULE moduleMesh2DCyl
   END TYPE meshCell2DCyl
 
   ABSTRACT INTERFACE
-    PURE SUBROUTINE partialDer_interface(self, dPsi, dz, dr)
+    PURE SUBROUTINE partialDer_interface(self, nNodes, dPsi, dz, dr)
       IMPORT meshCell2DCyl
       CLASS(meshCell2DCyl), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dz, dr
 
     END SUBROUTINE partialDer_interface
@@ -166,6 +167,7 @@ MODULE moduleMesh2DCyl
       INTEGER:: s
 
       self%n  = n
+      self%nNodes = SIZE(p)
       self%n1 => mesh%nodes(p(1))%obj
       self%n2 => mesh%nodes(p(2))%obj
       !Get element coordinates
@@ -195,13 +197,13 @@ MODULE moduleMesh2DCyl
     END SUBROUTINE initEdge2DCyl
 
     !Get nodes from edge
-    PURE FUNCTION getNodes2DCyl(self) RESULT(n)
+    PURE FUNCTION getNodes2DCyl(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshEdge2DCyl), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
-      ALLOCATE(n(1:2))
       n = (/self%n1%n, self%n2%n /)
 
     END FUNCTION getNodes2DCyl
@@ -306,23 +308,23 @@ MODULE moduleMesh2DCyl
       self%arNodes = 0.D0
       !2D 1 point Gauss Quad Integral
       Xi = 0.D0
-      detJ = self%detJac(Xi)*PI8 !4*2*pi
+      detJ = self%detJac(Xi, 4)*PI8 !4*2*pi
       fPsi = self%fPsi(Xi, 4)
       !Computes total volume of the cell
       r = DOT_PRODUCT(fPsi,self%r)
       self%volume  = r*detJ
       !Computes volume per node
       Xi = (/-5.D-1, -5.D-1, 0.D0/)
-      r = self%gatherF(Xi, self%r)
+      r = self%gatherF(Xi, 4, self%r)
       self%arNodes(1) = fPsi(1)*r*detJ
       Xi = (/ 5.D-1, -5.D-1, 0.D0/)
-      r = self%gatherF(Xi, self%r)
+      r = self%gatherF(Xi, 4, self%r)
       self%arNodes(2) = fPsi(2)*r*detJ
       Xi = (/ 5.D-1,  5.D-1, 0.D0/)
-      r = self%gatherF(Xi, self%r)
+      r = self%gatherF(Xi, 4, self%r)
       self%arNodes(3) = fPsi(3)*r*detJ
       Xi = (/-5.D-1,  5.D-1, 0.D0/)
-      r = self%gatherF(Xi, self%r)
+      r = self%gatherF(Xi, 4, self%r)
       self%arNodes(4) = fPsi(4)*r*detJ
 
     END SUBROUTINE areaQuad
@@ -371,11 +373,12 @@ MODULE moduleMesh2DCyl
     END FUNCTION dPsiQuad
 
     !Partial derivative in global coordinates
-    PURE SUBROUTINE partialDerQuad(self, dPsi, dz, dr)
+    PURE SUBROUTINE partialDerQuad(self, nNodes, dPsi, dz, dr)
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dz, dr
 
       dz = (/ DOT_PRODUCT(dPsi(1,1:4),self%z(1:4)), &
@@ -408,12 +411,13 @@ MODULE moduleMesh2DCyl
     END FUNCTION randPosCellQuad
 
     !Computes element local stiffness matrix
-    PURE FUNCTION elemKQuad(self) RESULT(localK)
+    PURE FUNCTION elemKQuad(self, nNodes) RESULT(localK)
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(in):: self
-      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
       REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4), dPsi(1:3,1:4)
       REAL(8):: r
@@ -429,8 +433,8 @@ MODULE moduleMesh2DCyl
           Xi(1)  = corQuad(m)
           fPsi   = self%fPsi(Xi, 4)
           dPsi   = self%dPsi(Xi, 4)
-          detJ   = self%detJac(Xi,dPsi)
-          invJ   = self%invJac(Xi,dPsi)
+          detJ   = self%detJac(Xi, 4, dPsi)
+          invJ   = self%invJac(Xi, 4, dPsi)
           r      = DOT_PRODUCT(fPsi,self%r)
           localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
                                              MATMUL(invJ,dPsi))* &
@@ -443,13 +447,14 @@ MODULE moduleMesh2DCyl
     END FUNCTION elemKQuad
 
     !Computes the local source vector for a force f
-    PURE FUNCTION elemFQuad(self, source) RESULT(localF)
+    PURE FUNCTION elemFQuad(self, nNodes, source) RESULT(localF)
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:self%nNodes)
-      REAL(8):: localF(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
       REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4)
       REAL(8):: r
@@ -462,7 +467,7 @@ MODULE moduleMesh2DCyl
         Xi(1) = corQuad(l)
         DO m = 1, 3
           Xi(2)  = corQuad(m)
-          detJ   = self%detJac(Xi)
+          detJ   = self%detJac(Xi, 4)
           fPsi = self%fPsi(Xi, 4)
           r      = DOT_PRODUCT(fPsi,self%r)
           f      = DOT_PRODUCT(fPsi,source)
@@ -486,7 +491,7 @@ MODULE moduleMesh2DCyl
                self%n3%emData%phi, &
                self%n4%emData%phi /)
 
-      array = -self%gatherDF(Xi, phi)
+      array = -self%gatherDF(Xi, 4, phi)
 
     END FUNCTION gatherEFQuad
 
@@ -512,7 +517,7 @@ MODULE moduleMesh2DCyl
                   self%n3%emData%B(3), &
                   self%n4%emData%B(3) /)
 
-      array = self%gatherF(Xi, 3, B)
+      array = self%gatherF(Xi, 4, B)
 
     END FUNCTION gatherMFQuad
 
@@ -529,11 +534,12 @@ MODULE moduleMesh2DCyl
     END FUNCTION insideQuad
 
     !Gets nodes from quadrilateral element
-    PURE FUNCTION getNodesQuad(self) RESULT(n)
+    PURE FUNCTION getNodesQuad(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(in):: self
-      INTEGER:: n(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
       n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
 
@@ -556,8 +562,8 @@ MODULE moduleMesh2DCyl
 
       DO WHILE(conv > 1.D-2)
         dPsi = self%dPsi(XiO, 4)
-        invJ = self%invJac(XiO, dPsi)
-        detJ = self%detJac(XiO, dPsi)
+        invJ = self%invJac(XiO, 4, dPsi)
+        detJ = self%detJac(XiO, 4, dPsi)
         fPsi = self%fPsi(XiO, 4)
         f = (/ DOT_PRODUCT(fPsi,self%z), &
                DOT_PRODUCT(fPsi,self%r), &
@@ -676,7 +682,7 @@ MODULE moduleMesh2DCyl
       self%arNodes = 0.D0
       !2D 1 point Gauss Quad Integral
       Xi = (/1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
-      detJ  = self%detJac(Xi)*PI !2PI*1/2
+      detJ  = self%detJac(Xi, 3)*PI !2PI*1/2
       fPsi = self%fPsi(Xi, 4)
       !Computes total volume of the cell
       r = DOT_PRODUCT(fPsi,self%r)
@@ -717,11 +723,12 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION dPsiTria
 
-    PURE SUBROUTINE partialDerTria(self, dPsi, dz, dr)
+    PURE SUBROUTINE partialDerTria(self, nNodes, dPsi, dz, dr)
       IMPLICIT NONE
 
       CLASS(meshCell2DCylTria), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
       REAL(8), INTENT(out), DIMENSION(1:2):: dz, dr
 
       dz = (/ DOT_PRODUCT(dPsi(1,:),self%z), &
@@ -732,12 +739,13 @@ MODULE moduleMesh2DCyl
     END SUBROUTINE partialDerTria
 
     !Computes element local stiffness matrix
-    PURE FUNCTION elemKTria(self) RESULT(localK)
+    PURE FUNCTION elemKTria(self, nNodes) RESULT(localK)
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
       CLASS(meshCell2DCylTria), INTENT(in):: self
-      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
       REAL(8):: Xi(1:3)
       REAL(8):: r
       REAL(8):: fPsi(1:3), dPsi(1:3,1:3)
@@ -751,8 +759,8 @@ MODULE moduleMesh2DCyl
         Xi(1)  = Xi1Tria(l)
         Xi(2)  = Xi2Tria(l)
         dPsi   = self%dPsi(Xi, 4)
-        detJ   = self%detJac(Xi,dPsi)
-        invJ   = self%invJac(Xi,dPsi)
+        detJ   = self%detJac(Xi, 3, dPsi)
+        invJ   = self%invJac(Xi, 3, dPsi)
         fPsi   = self%fPsi(Xi, 4)
         r      = DOT_PRODUCT(fPsi,self%r)
         localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*r*wTria(l)/detJ
@@ -763,13 +771,14 @@ MODULE moduleMesh2DCyl
     END FUNCTION elemKTria
 
     !Computes element local source vector
-    PURE FUNCTION elemFTria(self, source) RESULT(localF)
+    PURE FUNCTION elemFTria(self, nNodes, source) RESULT(localF)
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
 
       CLASS(meshCell2DCylTria), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:self%nNodes)
-      REAL(8):: localF(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
       REAL(8):: fPsi(1:3)
       REAL(8):: Xi(1:3)
       REAL(8):: r
@@ -782,8 +791,8 @@ MODULE moduleMesh2DCyl
       DO l=1, 4
         Xi(1)  = Xi1Tria(l)
         Xi(2)  = Xi2Tria(l)
-        detJ   = self%detJac(Xi)
-        fPsi   = self%fPsi(Xi, 4)
+        detJ   = self%detJac(Xi, 3)
+        fPsi   = self%fPsi(Xi, 3)
         r      = DOT_PRODUCT(fPsi,self%r)
         f      = DOT_PRODUCT(fPsi,source)
         localF = localF + r*f*fPsi*wTria(l)*detJ
@@ -804,7 +813,7 @@ MODULE moduleMesh2DCyl
                self%n2%emData%phi, &
                self%n3%emData%phi /)
 
-      array = -self%gatherDF(Xi, phi)
+      array = -self%gatherDF(Xi, 4, phi)
 
     END FUNCTION gatherEFTria
 
@@ -844,11 +853,12 @@ MODULE moduleMesh2DCyl
     END FUNCTION insideTria
 
     !Gets node indexes from triangular element
-    PURE FUNCTION getNodesTria(self) RESULT(n)
+    PURE FUNCTION getNodesTria(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshCell2DCylTria), INTENT(in):: self
-      INTEGER:: n(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
       n = (/self%n1%n, self%n2%n, self%n3%n /)
 
@@ -868,9 +878,9 @@ MODULE moduleMesh2DCyl
       !Direct method to convert coordinates
       Xi     = 0.D0
       deltaR = (/ r(1) - self%z(1), r(2) - self%r(1), 0.D0 /)
-      dPsi   = self%dPsi(Xi, 4)
-      invJ   = self%invJac(Xi, dPsi)
-      detJ   = self%detJac(Xi, dPsi)
+      dPsi   = self%dPsi(Xi, 3)
+      invJ   = self%invJac(Xi, 3,  dPsi)
+      detJ   = self%detJac(Xi, 3,  dPsi)
       Xi     = MATMUL(invJ,deltaR)/detJ
 
     END FUNCTION phy2logTria
@@ -900,39 +910,41 @@ MODULE moduleMesh2DCyl
 
     !COMMON FUNCTIONS FOR CYLINDRICAL VOLUME ELEMENTS
     !Computes element Jacobian determinant
-    PURE FUNCTION detJ2DCyl(self, Xi, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ2DCyl(self, Xi, nNodes, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
       CLASS(meshCell2DCyl), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
       REAL(8):: dJ
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      REAL(8):: dPsi(1:3,1:nNodes)
       REAL(8):: dz(1:2), dr(1:2)
 
       IF(PRESENT(dPsi_in)) THEN
         dPsi = dPsi_in
 
       ELSE
-        dPsi = self%dPsi(Xi, 4)
+        dPsi = self%dPsi(Xi, nNodes)
 
       END IF
 
-      CALL self%partialDer(dPsi, dz, dr)
+      CALL self%partialDer(nNodes, dPsi, dz, dr)
 
       dJ = dz(1)*dr(2)-dz(2)*dr(1)
 
     END FUNCTION detJ2DCyl
 
     !Computes element Jacobian inverse matrix (without determinant)
-    PURE FUNCTION invJ2DCyl(self,Xi,dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ2DCyl(self, Xi, nNodes, dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
       CLASS(meshCell2DCyl), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
       REAL(8):: invJ(1:3,1:3)
-      REAL(8):: dPsi(1:3,1:self%nNodes)
+      REAL(8):: dPsi(1:3,1:nNodes)
       REAL(8):: dz(1:2), dr(1:2)
 
       IF(PRESENT(dPsi_in)) THEN
@@ -945,7 +957,7 @@ MODULE moduleMesh2DCyl
 
       invJ = 0.D0
 
-      CALL self%partialDer(dPsi, dz, dr)
+      CALL self%partialDer(nNodes, dPsi, dz, dr)
 
       invJ(1,1:2) = (/  dr(2), -dz(2) /)
       invJ(2,1:2) = (/ -dr(1),  dz(1) /)
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 3018989..705587a 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -40,10 +40,11 @@ MODULE moduleMesh3DCart
   END TYPE meshCell3DCart
 
   ABSTRACT INTERFACE
-    PURE SUBROUTINE partialDer_interface(self, dPsi, dx, dy, dz)
+    PURE SUBROUTINE partialDer_interface(self, nNodes, dPsi, dx, dy, dz)
       IMPORT meshCell3DCart
       CLASS(meshCell3DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
       REAL(8), INTENT(out), DIMENSION(1:3):: dx, dy, dz
 
     END SUBROUTINE partialDer_interface
@@ -59,7 +60,7 @@ MODULE moduleMesh3DCart
     !Connectivity to adjacent elements
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
     CONTAINS
-      PROCEDURE, PASS::   init        => initCellTetra3DCart
+      PROCEDURE, PASS::   init        => initCellTetra
       PROCEDURE, PASS::   randPos     => randPosCellTetra
       PROCEDURE, PASS::   calcCell     => volumeTetra
       PROCEDURE, PASS:: fPsi        => fPsiTetra
@@ -135,6 +136,7 @@ MODULE moduleMesh3DCart
       INTEGER:: s
 
       self%n = n
+      self%nNodes = SIZE(p)
       self%n1 => mesh%nodes(p(1))%obj
       self%n2 => mesh%nodes(p(2))%obj
       self%n3 => mesh%nodes(p(3))%obj
@@ -170,13 +172,13 @@ MODULE moduleMesh3DCart
     END SUBROUTINE initEdge3DCartTria
 
     !Get nodes from surface
-    PURE FUNCTION getNodes3DCartTria(self) RESULT(n)
+    PURE FUNCTION getNodes3DCartTria(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshEdge3DCartTria), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
-      ALLOCATE(n(1:3))
       n = (/self%n1%n, self%n2%n, self%n3%n/)
 
     END FUNCTION getNodes3DCartTria
@@ -238,7 +240,7 @@ MODULE moduleMesh3DCart
     !VOLUME FUNCTIONS
     !TETRA FUNCTIONS
     !Inits tetrahedron element
-    SUBROUTINE initCellTetra3DCart(self, n, p, nodes)
+    SUBROUTINE initCellTetra(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
 
@@ -282,7 +284,7 @@ MODULE moduleMesh3DCart
       ALLOCATE(self%listPart_in(1:nSpecies))
       ALLOCATE(self%totalWeight(1:nSpecies))
 
-    END SUBROUTINE initCellTetra3DCart
+    END SUBROUTINE initCellTetra
 
     !Random position in volume tetrahedron
     FUNCTION randPosCellTetra(self) RESULT(r)
@@ -315,7 +317,7 @@ MODULE moduleMesh3DCart
 
       self%volume = 0.D0
       Xi = (/0.25D0, 0.25D0, 0.25D0/)
-      self%volume = self%detJac(Xi)
+      self%volume = self%detJac(Xi, 4)
 
     END SUBROUTINE volumeTetra
 
@@ -392,11 +394,12 @@ MODULE moduleMesh3DCart
     END FUNCTION dPsiTetraXi3
     
     !Computes the derivatives in global coordinates
-    PURE SUBROUTINE partialDerTetra(self, dPsi, dx, dy, dz)
+    PURE SUBROUTINE partialDerTetra(self, nNodes, dPsi, dx, dy, dz)
       IMPLICIT NONE
 
       CLASS(meshCell3DCartTetra), INTENT(in):: self
-      REAL(8), INTENT(in):: dPsi(1:3, 1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: dPsi(1:3, 1:nNodes)
       REAL(8), INTENT(out), DIMENSION(1:3):: dx, dy, dz
 
       dx(1) = DOT_PRODUCT(dPsi(1,:), self%x)
@@ -413,11 +416,12 @@ MODULE moduleMesh3DCart
 
     END SUBROUTINE partialDerTetra
 
-    PURE FUNCTION elemKTetra(self) RESULT(localK)
+    PURE FUNCTION elemKTetra(self, nNodes) RESULT(localK)
       IMPLICIT NONE
 
       CLASS(meshCell3DCartTetra), INTENT(in):: self
-      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
       REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
       REAL(8):: invJ(1:3,1:3), detJ
@@ -427,19 +431,20 @@ MODULE moduleMesh3DCart
       !TODO: One point Gauss integral. Upgrade when possible
       Xi    = (/ 0.25D0, 0.25D0, 0.25D0 /)
       dPsi   = self%dPsi(Xi, 4)
-      detJ   = self%detJac(Xi, dPsi)
-      invJ   = self%invJac(Xi, dPsi)
+      detJ   = self%detJac(Xi, 4, dPsi)
+      invJ   = self%invJac(Xi, 4, dPsi)
       fPsi = self%fPsi(Xi, 4)
       localK = MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*1.D0/detJ
 
     END FUNCTION elemKTetra
 
-    PURE FUNCTION elemFTetra(self, source) RESULT(localF)
+    PURE FUNCTION elemFTetra(self, nNodes, source) RESULT(localF)
       IMPLICIT NONE
 
       CLASS(meshCell3DCartTetra), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:self%nNodes)
-      REAL(8):: localF(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
       REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
       REAL(8):: Xi(1:3)
       REAL(8):: detJ, f
@@ -448,7 +453,7 @@ MODULE moduleMesh3DCart
       Xi   = 0.D0
       Xi   = (/ 0.25D0, 0.25D0, 0.25D0 /)
       dPsi = self%dPsi(Xi, 4)
-      detJ = self%detJac(Xi, dPsi)
+      detJ = self%detJac(Xi, 4, dPsi)
       fPsi = self%fPsi(Xi, 4)
       f    = DOT_PRODUCT(fPsi, source)
       localF = f*fPsi*1.D0*detJ
@@ -467,7 +472,7 @@ MODULE moduleMesh3DCart
                self%n3%emData%phi, &
                self%n4%emData%phi /)
 
-      array = -self%gatherDF(Xi, phi)
+      array = -self%gatherDF(Xi, 4, phi)
 
     END FUNCTION gatherEFTetra
 
@@ -493,7 +498,7 @@ MODULE moduleMesh3DCart
                   self%n3%emData%B(3), &
                   self%n4%emData%B(3) /)
 
-      array = self%gatherF(Xi, 3, B)
+      array = self%gatherF(Xi, 4, B)
 
     END FUNCTION gatherMFTetra
 
@@ -510,11 +515,12 @@ MODULE moduleMesh3DCart
       
     END FUNCTION insideTetra
 
-    PURE FUNCTION getNodesTetra(self) RESULT(n)
+    PURE FUNCTION getNodesTetra(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshCell3DCartTetra), INTENT(in):: self
-      INTEGER:: n(1:self%nnodes)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
       n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
 
@@ -533,8 +539,8 @@ MODULE moduleMesh3DCart
       Xi     = 0.D0
       deltaR = (/r(1) - self%x(1), r(2) - self%y(1), r(3) - self%z(1) /)
       dPsi   = self%dPsi(Xi, 4)
-      invJ   = self%invJac(Xi, dPsi)
-      detJ   = self%detJac(Xi, dPsi)
+      invJ   = self%invJac(Xi, 4, dPsi)
+      detJ   = self%detJac(Xi, 4, dPsi)
       Xi     = MATMUL(invJ, deltaR)/detJ
 
     END FUNCTION phy2logTetra
@@ -567,14 +573,15 @@ MODULE moduleMesh3DCart
 
     !COMMON FUNCTIONS FOR CARTESIAN VOLUME ELEMENTS IN 3D
     !Computes element Jacobian determinant
-    PURE FUNCTION detJ3DCart(self, Xi, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ3DCart(self, Xi, nNodes, dPsi_in) RESULT(dJ)
       IMPLICIT NONE
 
       CLASS(meshCell3DCart), INTENT(in)::self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3, 1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3, 1:nNodes)
       REAL(8):: dJ
-      REAL(8):: dPsi(1:3, 1:self%nNodes)
+      REAL(8):: dPsi(1:3, 1:nNodes)
       REAL(8):: dx(1:3), dy(1:3), dz(1:3)
 
       IF (PRESENT(dPsi_in)) THEN
@@ -585,20 +592,21 @@ MODULE moduleMesh3DCart
 
       END IF
 
-      CALL self%partialDer(dPsi, dx, dy, dz)
+      CALL self%partialDer(nNodes, dPsi, dx, dy, dz)
       dJ =   dx(1)*(dy(2)*dz(3) - dy(3)*dz(2)) &
            - dx(2)*(dy(1)*dz(3) - dy(3)*dz(1)) &
            + dx(3)*(dy(1)*dz(2) - dy(2)*dz(1))
 
     END FUNCTION detJ3DCart
 
-    PURE FUNCTION invJ3DCart(self,Xi,dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ3DCart(self, Xi, nNodes, dPsi_in) RESULT(invJ)
       IMPLICIT NONE
 
       CLASS(meshCell3DCart), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3, 1:self%nNodes)
-      REAL(8):: dPsi(1:3, 1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3, 1:nNodes)
+      REAL(8):: dPsi(1:3, 1:nNodes)
       REAL(8), DIMENSION(1:3):: dx, dy, dz
       REAL(8):: invJ(1:3,1:3)
 
@@ -610,7 +618,7 @@ MODULE moduleMesh3DCart
 
       END IF
 
-      CALL self%partialDer(dPsi, dx, dy, dz)
+      CALL self%partialDer(nNodes, dPsi, dx, dy, dz)
       invJ(1,1) =  (dy(2)*dz(3) - dy(3)*dz(2))
       invJ(1,2) = -(dy(1)*dz(3) - dy(3)*dz(1))
       invJ(1,3) =  (dy(1)*dz(2) - dy(2)*dz(1))
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index aeba4ba..6561850 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -66,6 +66,8 @@ MODULE moduleMesh
 
   !Parent of Edge element
   TYPE, PUBLIC, ABSTRACT, EXTENDS(meshElement):: meshEdge
+    !Nomber of nodes in the edge
+    INTEGER:: nNodes
     !Connectivity to cells
     CLASS(meshCell), POINTER:: e1 => NULL(), e2 => NULL()
     !Connectivity to cells in meshColl
@@ -102,10 +104,11 @@ MODULE moduleMesh
     END SUBROUTINE initEdge_interface
 
     !Get nodes index from node
-    PURE FUNCTION getNodesEdge_interface(self) RESULT(n)
+    PURE FUNCTION getNodesEdge_interface(self, nNodes) RESULT(n)
       IMPORT:: meshEdge
       CLASS(meshEdge), INTENT(in):: self
-      INTEGER, ALLOCATABLE:: n(:)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
     END FUNCTION getNodesEdge_interface
 
@@ -166,7 +169,7 @@ MODULE moduleMesh
       !Init the cell
       PROCEDURE(initCell_interface), DEFERRED, PASS:: init
       !Get the index of the nodes
-      PROCEDURE(getNodesVol_interface), DEFERRED, PASS:: getNodes
+      PROCEDURE(getNodesCell_interface), DEFERRED, PASS:: getNodes
       !Calculate random position on the cell
       PROCEDURE(randPosVol_interface), DEFERRED, PASS:: randPos
       !Obtain functions and values of cell natural functions
@@ -208,12 +211,13 @@ MODULE moduleMesh
 
     END SUBROUTINE initCell_interface
 
-    PURE FUNCTION getNodesVol_interface(self) RESULT(n)
+    PURE FUNCTION getNodesCell_interface(self, nNodes) RESULT(n)
       IMPORT:: meshCell
       CLASS(meshCell), INTENT(in):: self
-      INTEGER:: n(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
 
-    END FUNCTION getNodesVol_interface
+    END FUNCTION getNodesCell_interface
 
     PURE FUNCTION fPsi_interface(self, Xi, nNodes) RESULT(fPsi)
       IMPORT:: meshCell
@@ -233,20 +237,22 @@ MODULE moduleMesh
 
     END FUNCTION dPsi_interface
 
-    PURE FUNCTION detJac_interface(self, Xi, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJac_interface(self, Xi, nNodes, dPsi_in) RESULT(dJ)
       IMPORT:: meshCell
       CLASS(meshCell), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
       REAL(8):: dJ
 
     END FUNCTION detJac_interface
 
-    PURE FUNCTION invJac_interface(self, Xi, dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJac_interface(self, Xi, nNodes, dPsi_in) RESULT(invJ)
       IMPORT:: meshCell
       CLASS(meshCell), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
       REAL(8):: invJ(1:3,1:3)
 
     END FUNCTION invJac_interface
@@ -259,18 +265,20 @@ MODULE moduleMesh
 
     END FUNCTION gatherArray_interface
 
-    PURE FUNCTION elemK_interface(self) RESULT(localK)
+    PURE FUNCTION elemK_interface(self, nNodes) RESULT(localK)
       IMPORT:: meshCell
       CLASS(meshCell), INTENT(in):: self
-      REAL(8):: localK(1:self%nNodes,1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
 
     END FUNCTION elemK_interface
 
-    PURE FUNCTION elemF_interface(self, source) RESULT(localF)
+    PURE FUNCTION elemF_interface(self, nNodes, source) RESULT(localF)
       IMPORT:: meshCell
       CLASS(meshCell), INTENT(in):: self
-      REAL(8), INTENT(in):: source(1:self%nNodes)
-      REAL(8):: localF(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
 
     END FUNCTION elemF_interface
 
@@ -478,19 +486,22 @@ MODULE moduleMesh
 
   CONTAINS
     !Constructs the global K matrix
-    SUBROUTINE constructGlobalK(self)
+    PURE SUBROUTINE constructGlobalK(self)
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(inout):: self
       INTEGER:: e
+      INTEGER:: nNodes
       INTEGER, ALLOCATABLE:: n(:)
       REAL(8), ALLOCATABLE:: localK(:,:)
-      INTEGER:: nNodes, i, j
+      INTEGER:: i, j
 
       DO e = 1, self%numCells
-        n      = self%cells(e)%obj%getNodes()
-        localK = self%cells(e)%obj%elemK()
-        nNodes = SIZE(n)
+        nNodes = self%cells(e)%obj%nNodes
+        ALLOCATE(n(1:nNodes))
+        ALLOCATE(localK(1:nNodes, 1:nNodes))
+        n      = self%cells(e)%obj%getNodes(nNodes)
+        localK = self%cells(e)%obj%elemK(nNodes)
 
         DO i = 1, nNodes
           DO j = 1, nNodes
@@ -499,6 +510,8 @@ MODULE moduleMesh
           END DO
 
         END DO
+        
+        DEALLOCATE(n, localK)
 
       END DO
 
@@ -523,51 +536,53 @@ MODULE moduleMesh
     END SUBROUTINE resetOutput
 
     !Gather the value of valNodes (scalar) at position Xi
-    PURE FUNCTION gatherF_scalar(self, Xi, valNodes) RESULT(f)
+    PURE FUNCTION gatherF_scalar(self, Xi, nNodes, valNodes) RESULT(f)
       IMPLICIT NONE
 
       CLASS(meshCell), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in):: valNodes(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: valNodes(1:nNodes)
       REAL(8):: f
-      REAL(8):: fPsi(1:self%nNodes)
+      REAL(8):: fPsi(1:nNodes)
 
-      fPsi = self%fPsi(Xi, self%nNodes)
+      fPsi = self%fPsi(Xi, nNodes)
       f = DOT_PRODUCT(fPsi, valNodes)
 
     END FUNCTION gatherF_scalar
 
     !Gather the value of valNodes (array) at position Xi
-    PURE FUNCTION gatherF_array(self, Xi, n, valNodes) RESULT(f)
+    PURE FUNCTION gatherF_array(self, Xi, nNodes, valNodes) RESULT(f)
       IMPLICIT NONE
 
       CLASS(meshCell), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: n
-      REAL(8), INTENT(in):: valNodes(1:self%nNodes, 1:n)
-      REAL(8):: f(1:n)
-      REAL(8):: fPsi(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: valNodes(1:nNodes, 1:3)
+      REAL(8):: f(1:3)
+      REAL(8):: fPsi(1:nNodes)
 
-      fPsi = self%fPsi(Xi, self%nNodes)
+      fPsi = self%fPsi(Xi, nNodes)
       f = MATMUL(fPsi, valNodes)
 
     END FUNCTION gatherF_array
 
     !Gather the spatial derivative of valNodes (scalar) at position Xi
-    PURE FUNCTION gatherDF_scalar(self, Xi, valNodes) RESULT(df)
+    PURE FUNCTION gatherDF_scalar(self, Xi, nNodes, valNodes) RESULT(df)
       IMPLICIT NONE
 
       CLASS(meshCell), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), INTENT(in):: valNodes(1:self%nNodes)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: valNodes(1:nNodes)
       REAL(8):: df(1:3)
-      REAL(8):: dPsi(1:3, 1:self%nNodes)
-      REAL(8):: dPsiR(1:3, 1:self%nNodes)
+      REAL(8):: dPsi(1:3, 1:nNodes)
+      REAL(8):: dPsiR(1:3, 1:nNodes)
       REAL(8):: invJ(1:3, 1:3), detJ
 
-      dPsi  = self%dPsi(Xi, self%nNodes)
-      detJ  = self%detJac(Xi, dPsi)
-      invJ  = self%invJac(Xi, dPsi)
+      dPsi  = self%dPsi(Xi, nNodes)
+      detJ  = self%detJac(Xi, nNodes, dPsi)
+      invJ  = self%invJac(Xi, nNodes, dPsi)
       dPsiR =  MATMUL(invJ, dPsi)/detJ
       df    = (/ DOT_PRODUCT(dPsiR(1,:), valNodes), &
                  DOT_PRODUCT(dPsiR(2,:), valNodes), &
@@ -576,29 +591,30 @@ MODULE moduleMesh
     END FUNCTION gatherDF_scalar
 
     !Scatters particle properties into cell nodes
-    SUBROUTINE scatter(self, part)
+    SUBROUTINE scatter(self, nNodes, part)
       USE moduleMath
       USE moduleSpecies
       USE OMP_LIB
       IMPLICIT NONE
 
       CLASS(meshCell), INTENT(inout):: self
+      INTEGER, INTENT(in):: nNodes
       CLASS(particle), INTENT(in):: part
-      REAL(8):: fPsi(1:self%nNodes)
-      INTEGER:: cellNodes(1:self%nNodes)
+      REAL(8):: fPsi(1:nNodes)
+      INTEGER:: cellNodes(1:nNodes)
       REAL(8):: tensorS(1:3, 1:3)
       INTEGER:: sp
       INTEGER:: i
       CLASS(meshNode), POINTER:: node
 
-      cellNodes = self%getNodes()
-      fPsi = self%fPsi(part%Xi, self%nNodes)
+      cellNodes = self%getNodes(nNodes)
+      fPsi = self%fPsi(part%Xi, nNodes)
 
       tensorS = outerProduct(part%v, part%v)
 
       sp = part%species%n
       
-      DO i = 1, self%nNodes
+      DO i = 1, nNodes
         node => mesh%nodes(cellNodes(i))%obj
         CALL OMP_SET_LOCK(node%lock)
         node%output(sp)%den          = node%output(sp)%den          + part%weight*fPsi(i)
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index cc5d78c..713c091 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -55,10 +55,10 @@ MODULE moduleMeshBoundary
 
       !Scatter particle in associated volume
       IF (ASSOCIATED(edge%e1)) THEN
-        CALL edge%e1%scatter(part)
+        CALL edge%e1%scatter(edge%e1%nNodes, part)
 
       ELSE
-        CALL edge%e2%scatter(part)
+        CALL edge%e2%scatter(edge%e2%nNodes, part)
 
       END IF
 
diff --git a/src/modules/solver/electromagnetic/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
index 55eb618..bdf6b03 100644
--- a/src/modules/solver/electromagnetic/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -26,12 +26,14 @@ MODULE moduleEM
 
       CLASS(boundaryEM), INTENT(in):: self
       CLASS(meshEdge):: edge
+      INTEGER:: nNodes
       INTEGER, ALLOCATABLE:: nodes(:)
       INTEGER:: n
 
-      nodes = edge%getNodes()
+      nNodes = edge%nNodes
+      nodes = edge%getNodes(nNodes)
 
-      DO n = 1, SIZE(nodes)
+      DO n = 1, nNodes
         SELECT CASE(self%typeEM)
         CASE ("dirichlet")
           mesh%K(nodes(n), :)        = 0.D0
@@ -66,8 +68,8 @@ MODULE moduleEM
 
       !$OMP DO REDUCTION(+:vectorF)
       DO e = 1, mesh%numCells
-        nodes  = mesh%cells(e)%obj%getNodes()
-        nNodes = SIZE(nodes)
+        nNodes = mesh%cells(e)%obj%nNodes
+        nodes  = mesh%cells(e)%obj%getNodes(nNodes)
         !Calculates charge density (rho) in element nodes
         ALLOCATE(rho(1:nNodes))
         rho = 0.D0
@@ -79,7 +81,7 @@ MODULE moduleEM
         END DO
 
         !Calculates local F vector
-        localF = mesh%cells(e)%obj%elemF(rho)
+        localF = mesh%cells(e)%obj%elemF(nNodes, rho)
 
         !Assign local F to global F
         DO i = 1, nNodes
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index 6962075..02932c9 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -354,11 +354,13 @@ MODULE moduleSolver
       IMPLICIT NONE
 
       INTEGER:: n
+      CLASS(meshCell), POINTER:: cell
 
       !Loops over the particles to scatter them
       !$OMP DO
       DO n = 1, nPartOld
-        CALL mesh%cells(partOld(n)%vol)%obj%scatter(partOld(n))
+        cell => mesh%cells(partOld(n)%vol)%obj
+        CALL cell%scatter(cell%nNodes, partOld(n))
 
       END DO
       !$OMP END DO

From ba272de4e3c711e0a13706283ebcf1c6ae96a464 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 6 Jan 2023 12:16:54 +0100
Subject: [PATCH 076/203] DOES NOT COMPILE: Break

Small break of changing functions.
Still some geometries to change.
---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   | 747 +++++++++----------
 src/modules/mesh/3DCart/moduleMesh3DCart.f90 | 370 ++++-----
 src/modules/mesh/moduleMesh.f90              | 152 ++--
 3 files changed, 589 insertions(+), 680 deletions(-)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index d33fbbf..1e8c79d 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -19,7 +19,8 @@ MODULE moduleMesh2DCyl
     !Element coordinates
     REAL(8):: r = 0.D0, z = 0.D0
     CONTAINS
-      PROCEDURE, PASS:: init => initNode2DCyl
+      !meshNode DEFERRED PROCEDURES
+      PROCEDURE, PASS:: init           => initNode2DCyl
       PROCEDURE, PASS:: getCoordinates => getCoord2DCyl
 
   END TYPE meshNode2DCyl
@@ -30,35 +31,16 @@ MODULE moduleMesh2DCyl
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL()
     CONTAINS
-      PROCEDURE, PASS:: init     => initEdge2DCyl
-      PROCEDURE, PASS:: getNodes => getNodes2DCyl
+      !meshEdge DEFERRED PROCEDURES
+      PROCEDURE, PASS:: init         => initEdge2DCyl
+      PROCEDURE, PASS:: getNodes     => getNodes2DCyl
       PROCEDURE, PASS:: intersection => intersection2DCylEdge
-      PROCEDURE, PASS:: randPos  => randPosEdge
+      PROCEDURE, PASS:: randPos      => randPosEdge
 
   END TYPE meshEdge2DCyl
 
-  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshCell):: meshCell2DCyl
-    CONTAINS
-      PROCEDURE, PASS:: detJac    => detJ2DCyl
-      PROCEDURE, PASS:: invJac    => invJ2DCyl
-      PROCEDURE(partialDer_interface), DEFERRED, PASS, PRIVATE:: partialDer
-
-  END TYPE meshCell2DCyl
-
-  ABSTRACT INTERFACE
-    PURE SUBROUTINE partialDer_interface(self, nNodes, dPsi, dz, dr)
-      IMPORT meshCell2DCyl
-      CLASS(meshCell2DCyl), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
-      REAL(8), INTENT(out), DIMENSION(1:2):: dz, dr
-
-    END SUBROUTINE partialDer_interface
-
-  END INTERFACE
-
   !Quadrilateral volume element
-  TYPE, PUBLIC, EXTENDS(meshCell2DCyl):: meshCell2DCylQuad
+  TYPE, PUBLIC, EXTENDS(meshCell):: meshCell2DCylQuad
     !Element coordinates
     REAL(8):: r(1:4) = 0.D0, z(1:4) = 0.D0
     !Connectivity to nodes
@@ -68,25 +50,29 @@ MODULE moduleMesh2DCyl
     REAL(8):: arNodes(1:4) = 0.D0
 
     CONTAINS
-      PROCEDURE, PASS::   init        => initCellQuad2DCyl
-      PROCEDURE, PASS::   randPos     => randPosCellQuad
-      PROCEDURE, PASS::   area        => areaQuad
-      PROCEDURE, PASS::   fPsi        => fPsiQuad
-      PROCEDURE, PASS::   dPsi        => dPsiQuad
-      PROCEDURE, PASS, PRIVATE::   partialDer  => partialDerQuad
-      PROCEDURE, PASS::   elemK       => elemKQuad
-      PROCEDURE, PASS::   elemF       => elemFQuad
-      PROCEDURE, PASS:: gatherElectricField => gatherEFQuad
-      PROCEDURE, PASS:: gatherMagneticField => gatherMFQuad
-      PROCEDURE, NOPASS:: inside      => insideQuad
-      PROCEDURE, PASS::   getNodes    => getNodesQuad
-      PROCEDURE, PASS::   phy2log     => phy2logQuad
-      PROCEDURE, PASS::   nextElement => nextElementQuad
+      !meshCell DEFERRED PROCEDURES
+      PROCEDURE, PASS::   init                => initCellQuad2DCyl
+      PROCEDURE, PASS::   getNodes            => getNodesQuad
+      PROCEDURE, PASS::   randPos             => randPosCellQuad
+      PROCEDURE, NOPASS:: fPsi                => fPsiQuad
+      PROCEDURE, NOPASS:: dPsi                => dPsiQuad
+      PROCEDURE, PASS::   partialDer          => partialDerQuad
+      PROCEDURE, NOPASS:: detJac              => detJ2DCyl
+      PROCEDURE, NOPASS:: invJac              => invJ2DCyl
+      PROCEDURE, PASS::   gatherElectricField => gatherEFQuad
+      PROCEDURE, PASS::   gatherMagneticField => gatherMFQuad
+      PROCEDURE, PASS::   elemK               => elemKQuad
+      PROCEDURE, PASS::   elemF               => elemFQuad
+      PROCEDURE, NOPASS:: inside              => insideQuad
+      PROCEDURE, PASS::   phy2log             => phy2logQuad
+      PROCEDURE, PASS::   neighbourElement    => neighbourElementQuad
+      !PARTICLUAR PROCEDURES
+      PROCEDURE, PASS::   area                => areaQuad
 
   END TYPE meshCell2DCylQuad
 
   !Triangular volume element
-  TYPE, PUBLIC, EXTENDS(meshCell2DCyl):: meshCell2DCylTria
+  TYPE, PUBLIC, EXTENDS(meshCell):: meshCell2DCylTria
     !Element coordinates
     REAL(8):: r(1:3) = 0.D0, z(1:3) = 0.D0
     !Connectivity to nodes
@@ -96,20 +82,24 @@ MODULE moduleMesh2DCyl
     REAL(8):: arNodes(1:3) = 0.D0
 
     CONTAINS
-      PROCEDURE, PASS::   init        => initCellTria2DCyl
-      PROCEDURE, PASS::   randPos     => randPosCellTria
-      PROCEDURE, PASS::   area        => areaTria
-      PROCEDURE, PASS::   fPsi        => fPsiTria
-      PROCEDURE, PASS::   dPsi        => dPsiTria
-      PROCEDURE, PASS, PRIVATE::   partialDer  => partialDerTria
-      PROCEDURE, PASS::   elemK       => elemKTria
-      PROCEDURE, PASS::   elemF       => elemFTria
-      PROCEDURE, PASS:: gatherElectricField => gatherEFTria
-      PROCEDURE, PASS:: gatherMagneticField => gatherMFTria
-      PROCEDURE, NOPASS:: inside      => insideTria
-      PROCEDURE, PASS::   getNodes    => getNodesTria
-      PROCEDURE, PASS::   phy2log     => phy2logTria
-      PROCEDURE, PASS::   nextElement => nextElementTria
+      !meshCell DEFERRED PROCEDURES
+      PROCEDURE, PASS::   init                => initCellTria2DCyl
+      PROCEDURE, PASS::   getNodes            => getNodesTria
+      PROCEDURE, PASS::   randPos             => randPosCellTria
+      PROCEDURE, NOPASS:: fPsi                => fPsiTria
+      PROCEDURE, NOPASS:: dPsi                => dPsiTria
+      PROCEDURE, PASS::   partialDer          => partialDerTria
+      PROCEDURE, NOPASS:: detJac              => detJ2DCyl
+      PROCEDURE, NOPASS:: invJac              => invJ2DCyl
+      PROCEDURE, PASS::   gatherElectricField => gatherEFTria
+      PROCEDURE, PASS::   gatherMagneticField => gatherMFTria
+      PROCEDURE, PASS::   elemK               => elemKTria
+      PROCEDURE, PASS::   elemF               => elemFTria
+      PROCEDURE, NOPASS:: inside              => insideTria
+      PROCEDURE, PASS::   phy2log             => phy2logTria
+      PROCEDURE, PASS::   neighbourElement    => neighbourElementTria
+      !PARTICULAR PROCEDURES
+      PROCEDURE, PASS::   area                => areaTria
 
   END TYPE meshCell2DCylTria
 
@@ -294,99 +284,17 @@ MODULE moduleMesh2DCyl
 
     END SUBROUTINE initCellQuad2DCyl
 
-    !Computes element area
-    PURE SUBROUTINE areaQuad(self)
-      USE moduleConstParam, ONLY: PI8
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCylQuad), INTENT(inout):: self
-      REAL(8):: r, Xi(1:3)
-      REAL(8):: detJ
-      REAL(8):: fPsi(1:4), fPsi_node(1:4)
-
-      self%volume  = 0.D0
-      self%arNodes = 0.D0
-      !2D 1 point Gauss Quad Integral
-      Xi = 0.D0
-      detJ = self%detJac(Xi, 4)*PI8 !4*2*pi
-      fPsi = self%fPsi(Xi, 4)
-      !Computes total volume of the cell
-      r = DOT_PRODUCT(fPsi,self%r)
-      self%volume  = r*detJ
-      !Computes volume per node
-      Xi = (/-5.D-1, -5.D-1, 0.D0/)
-      r = self%gatherF(Xi, 4, self%r)
-      self%arNodes(1) = fPsi(1)*r*detJ
-      Xi = (/ 5.D-1, -5.D-1, 0.D0/)
-      r = self%gatherF(Xi, 4, self%r)
-      self%arNodes(2) = fPsi(2)*r*detJ
-      Xi = (/ 5.D-1,  5.D-1, 0.D0/)
-      r = self%gatherF(Xi, 4, self%r)
-      self%arNodes(3) = fPsi(3)*r*detJ
-      Xi = (/-5.D-1,  5.D-1, 0.D0/)
-      r = self%gatherF(Xi, 4, self%r)
-      self%arNodes(4) = fPsi(4)*r*detJ
-
-    END SUBROUTINE areaQuad
-
-    !Computes element functions in point Xi
-    PURE FUNCTION fPsiQuad(self, Xi, nNodes) RESULT(fPsi)
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCylQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8):: fPsi(1:nNodes)
-
-      fPsi = (/ (1.D0-Xi(1)) * (1.D0-Xi(2)), &
-                (1.D0+Xi(1)) * (1.D0-Xi(2)), &
-                (1.D0+Xi(1)) * (1.D0+Xi(2)), &
-                (1.D0-Xi(1)) * (1.D0+Xi(2)) /)
-
-      fPsi    = fPsi*0.25D0
-
-    END FUNCTION fPsiQuad
-
-    !Derivative element function at coordinates Xi
-    PURE FUNCTION dPsiQuad(self, Xi, nNodes) RESULT(dPsi)
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCylQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8):: dPsi(1:3,1:nNodes)
-
-      dPsi = 0.D0
-
-      dPsi(1,:) = (/ -(1.D0 - Xi(2)), &
-                      (1.D0 - Xi(2)), &
-                      (1.D0 + Xi(2)), &
-                     -(1.D0 + Xi(2)) /)
-
-      dPsi(2,:) = (/ -(1.D0 - Xi(1)), &
-                     -(1.D0 + Xi(1)), &
-                      (1.D0 + Xi(1)), &
-                      (1.D0 - Xi(1)) /)
-
-      dPsi = dPsi * 0.25D0
-
-    END FUNCTION dPsiQuad
-
-    !Partial derivative in global coordinates
-    PURE SUBROUTINE partialDerQuad(self, nNodes, dPsi, dz, dr)
+    !Gets nodes from quadrilateral element
+    PURE FUNCTION getNodesQuad(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(in):: self
       INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
-      REAL(8), INTENT(out), DIMENSION(1:2):: dz, dr
+      INTEGER:: n(1:nNodes)
 
-      dz = (/ DOT_PRODUCT(dPsi(1,1:4),self%z(1:4)), &
-              DOT_PRODUCT(dPsi(2,1:4),self%z(1:4)) /)
-      dr = (/ DOT_PRODUCT(dPsi(1,1:4),self%r(1:4)), &
-              DOT_PRODUCT(dPsi(2,1:4),self%r(1:4)) /)
+      n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
 
-    END SUBROUTINE partialDerQuad
+    END FUNCTION getNodesQuad
 
     !Random position in quadrilateral volume
     FUNCTION randPosCellQuad(self) RESULT(r)
@@ -410,74 +318,64 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION randPosCellQuad
 
-    !Computes element local stiffness matrix
-    PURE FUNCTION elemKQuad(self, nNodes) RESULT(localK)
-      USE moduleConstParam, ONLY: PI2
+    !Computes element functions in point Xi
+    PURE FUNCTION fPsiQuad(Xi, nNodes) RESULT(fPsi)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: Xi(1:3)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: fPsi(1:nNodes)
+
+      fPsi = (/ (1.D0-Xi(1)) * (1.D0-Xi(2)), &
+                (1.D0+Xi(1)) * (1.D0-Xi(2)), &
+                (1.D0+Xi(1)) * (1.D0+Xi(2)), &
+                (1.D0-Xi(1)) * (1.D0+Xi(2)) /)
+
+      fPsi    = fPsi*0.25D0
+
+    END FUNCTION fPsiQuad
+
+    !Derivative element function at coordinates Xi
+    PURE FUNCTION dPsiQuad(Xi, nNodes) RESULT(dPsi)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: Xi(1:3)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: dPsi(1:3,1:nNodes)
+
+      dPsi = 0.D0
+
+      dPsi(1,:) = (/ -(1.D0 - Xi(2)), &
+                      (1.D0 - Xi(2)), &
+                      (1.D0 + Xi(2)), &
+                     -(1.D0 + Xi(2)) /)
+
+      dPsi(2,:) = (/ -(1.D0 - Xi(1)), &
+                     -(1.D0 + Xi(1)), &
+                      (1.D0 + Xi(1)), &
+                      (1.D0 - Xi(1)) /)
+
+      dPsi = dPsi * 0.25D0
+
+    END FUNCTION dPsiQuad
+
+    !Partial derivative in global coordinates
+    PURE FUNCTION partialDerQuad(self, nNodes, dPsi) RESULT(pDer)
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(in):: self
       INTEGER, INTENT(in):: nNodes
-      REAL(8):: localK(1:nNodes,1:nNodes)
-      REAL(8):: Xi(1:3)
-      REAL(8):: fPsi(1:4), dPsi(1:3,1:4)
-      REAL(8):: r
-      REAL(8):: invJ(1:3,1:3), detJ
-      INTEGER:: l, m
+      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
+      REAL(8):: pDer(1:3, 1:3)
 
-      localK=0.D0
-      Xi=0.D0
-      !Start 2D Gauss Quad Integral
-      DO l=1, 3
-        Xi(2) = corQuad(l)
-        DO m = 1, 3
-          Xi(1)  = corQuad(m)
-          fPsi   = self%fPsi(Xi, 4)
-          dPsi   = self%dPsi(Xi, 4)
-          detJ   = self%detJac(Xi, 4, dPsi)
-          invJ   = self%invJac(Xi, 4, dPsi)
-          r      = DOT_PRODUCT(fPsi,self%r)
-          localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
-                                             MATMUL(invJ,dPsi))* &
-                            r*wQuad(l)*wQuad(m)/detJ
+      pDer = 0.D0
 
-        END DO
-      END DO
-      localK = localK*PI2
+      pDer(1, 1:2) = (/ DOT_PRODUCT(dPsi(1,1:4),self%z(1:4)), &
+                        DOT_PRODUCT(dPsi(2,1:4),self%z(1:4)) /)
+      pDer(2, 1:2) = (/ DOT_PRODUCT(dPsi(1,1:4),self%r(1:4)), &
+                        DOT_PRODUCT(dPsi(2,1:4),self%r(1:4)) /)
 
-    END FUNCTION elemKQuad
-
-    !Computes the local source vector for a force f
-    PURE FUNCTION elemFQuad(self, nNodes, source) RESULT(localF)
-      USE moduleConstParam, ONLY: PI2
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCylQuad), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in):: source(1:nNodes)
-      REAL(8):: localF(1:nNodes)
-      REAL(8):: Xi(1:3)
-      REAL(8):: fPsi(1:4)
-      REAL(8):: r
-      REAL(8):: detJ, f
-      INTEGER:: l, m
-
-      localF = 0.D0
-      Xi     = 0.D0
-      DO l=1, 3
-        Xi(1) = corQuad(l)
-        DO m = 1, 3
-          Xi(2)  = corQuad(m)
-          detJ   = self%detJac(Xi, 4)
-          fPsi = self%fPsi(Xi, 4)
-          r      = DOT_PRODUCT(fPsi,self%r)
-          f      = DOT_PRODUCT(fPsi,source)
-          localF = localF + r*f*fPsi*wQuad(l)*wQuad(m)*detJ
-
-         END DO
-      END DO
-      localF = localF*PI2
-
-    END FUNCTION elemFQuad
+    END FUNCTION partialDerQuad
 
     PURE FUNCTION gatherEFQuad(self, Xi) RESULT(array)
       IMPLICIT NONE
@@ -521,6 +419,80 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION gatherMFQuad
 
+    !Computes element local stiffness matrix
+    PURE FUNCTION elemKQuad(self, nNodes) RESULT(localK)
+      USE moduleConstParam, ONLY: PI2
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCylQuad), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
+      REAL(8):: Xi(1:3)
+      REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
+      REAL(8):: pDer(1:3, 1:3)
+      REAL(8):: r
+      REAL(8):: invJ(1:3,1:3), detJ
+      INTEGER:: l, m
+
+      localK=0.D0
+      Xi=0.D0
+      !Start 2D Gauss Quad Integral
+      DO l=1, 3
+        Xi(2) = corQuad(l)
+        DO m = 1, 3
+          Xi(1)  = corQuad(m)
+          dPsi   = self%dPsi(Xi, 4)
+          pDer   = self%partialDer(4, dPsi)
+          detJ   = self%detJac(pDer)
+          invJ   = self%invJac(pDer)
+          fPsi   = self%fPsi(Xi, 4)
+          r      = DOT_PRODUCT(fPsi,self%r)
+          localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
+                                             MATMUL(invJ,dPsi))* &
+                            r*wQuad(l)*wQuad(m)/detJ
+
+        END DO
+      END DO
+      localK = localK*PI2
+
+    END FUNCTION elemKQuad
+
+    !Computes the local source vector for a force f
+    PURE FUNCTION elemFQuad(self, nNodes, source) RESULT(localF)
+      USE moduleConstParam, ONLY: PI2
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCylQuad), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
+      REAL(8):: Xi(1:3)
+      REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
+      REAL(8):: pDer(1:3, 1:3)
+      REAL(8):: r
+      REAL(8):: detJ, f
+      INTEGER:: l, m
+
+      localF = 0.D0
+      Xi     = 0.D0
+      DO l=1, 3
+        Xi(1) = corQuad(l)
+        DO m = 1, 3
+          Xi(2)  = corQuad(m)
+          dPsi   = self%dPsi(Xi, 4)
+          pDer   = self%partialDer(4, dPsi)
+          detJ   = self%detJac(pDer)
+          fPsi = self%fPsi(Xi, 4)
+          r      = DOT_PRODUCT(fPsi,self%r)
+          f      = DOT_PRODUCT(fPsi,source)
+          localF = localF + r*f*fPsi*wQuad(l)*wQuad(m)*detJ
+
+         END DO
+      END DO
+      localF = localF*PI2
+
+    END FUNCTION elemFQuad
+
     !Checks if a particle is inside a quad element
     PURE FUNCTION insideQuad(Xi) RESULT(ins)
       IMPLICIT NONE
@@ -533,18 +505,6 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION insideQuad
 
-    !Gets nodes from quadrilateral element
-    PURE FUNCTION getNodesQuad(self, nNodes) RESULT(n)
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCylQuad), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      INTEGER:: n(1:nNodes)
-
-      n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
-
-    END FUNCTION getNodesQuad
-
     !Transforms physical coordinates to element coordinates
     PURE FUNCTION phy2logQuad(self,r) RESULT(Xi) 
       IMPLICIT NONE
@@ -554,6 +514,7 @@ MODULE moduleMesh2DCyl
       REAL(8):: Xi(1:3)
       REAL(8):: XiO(1:3), detJ, invJ(1:3,1:3), f(1:3)
       REAL(8):: dPsi(1:3,1:4), fPsi(1:4)
+      REAL(8):: pDer(1:3, 1:3)
       REAL(8):: conv
 
       !Iterative newton method to transform coordinates
@@ -562,8 +523,9 @@ MODULE moduleMesh2DCyl
 
       DO WHILE(conv > 1.D-2)
         dPsi = self%dPsi(XiO, 4)
-        invJ = self%invJac(XiO, 4, dPsi)
-        detJ = self%detJac(XiO, 4, dPsi)
+        pDer = self%partialDer(4, dPsi)
+        detJ = self%detJac(pDer)
+        invJ = self%invJac(pDer)
         fPsi = self%fPsi(XiO, 4)
         f = (/ DOT_PRODUCT(fPsi,self%z), &
                DOT_PRODUCT(fPsi,self%r), &
@@ -578,31 +540,69 @@ MODULE moduleMesh2DCyl
     END FUNCTION phy2logQuad
 
     !Gets the next element for a logical position Xi
-    SUBROUTINE nextElementQuad(self, Xi, nextElement)
+    SUBROUTINE neighbourElementQuad(self, Xi, neighbourElement)
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      CLASS(meshElement), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: neighbourElement
       REAL(8):: XiArray(1:4)
       INTEGER:: nextInt
 
       XiArray = (/ -Xi(2), Xi(1), Xi(2), -Xi(1) /)
       nextInt = MAXLOC(XiArray,1)
       !Selects the higher value of directions and searches in that direction
-      NULLIFY(nextElement)
+      NULLIFY(neighbourElement)
       SELECT CASE (nextInt)
       CASE (1)
-        nextElement => self%e1
+        neighbourElement => self%e1
       CASE (2)
-        nextElement => self%e2
+        neighbourElement => self%e2
       CASE (3)
-        nextElement => self%e3
+        neighbourElement => self%e3
       CASE (4)
-        nextElement => self%e4
+        neighbourElement => self%e4
       END SELECT
 
-    END SUBROUTINE nextElementQuad
+    END SUBROUTINE neighbourElementQuad
+
+    !Computes element area
+    PURE SUBROUTINE areaQuad(self)
+      USE moduleConstParam, ONLY: PI8
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCylQuad), INTENT(inout):: self
+      REAL(8):: r, Xi(1:3)
+      REAL(8):: detJ
+      REAL(8):: fPsi(1:4)
+      REAL(8):: dPsi(1:3, 1:4), pDer(1:3, 1:3)
+
+      self%volume  = 0.D0
+      self%arNodes = 0.D0
+      !2D 1 point Gauss Quad Integral
+      Xi = 0.D0
+      dPsi = self%dPsi(Xi, 4)
+      pDer = self%partialDer(4, dPsi)
+      detJ = self%detJac(pDer)*PI8 !4*2*pi
+      fPsi = self%fPsi(Xi, 4)
+      !Computes total volume of the cell
+      r = DOT_PRODUCT(fPsi,self%r)
+      self%volume  = r*detJ
+      !Computes volume per node
+      Xi = (/-5.D-1, -5.D-1, 0.D0/)
+      r = self%gatherF(Xi, 4, self%r)
+      self%arNodes(1) = fPsi(1)*r*detJ
+      Xi = (/ 5.D-1, -5.D-1, 0.D0/)
+      r = self%gatherF(Xi, 4, self%r)
+      self%arNodes(2) = fPsi(2)*r*detJ
+      Xi = (/ 5.D-1,  5.D-1, 0.D0/)
+      r = self%gatherF(Xi, 4, self%r)
+      self%arNodes(3) = fPsi(3)*r*detJ
+      Xi = (/-5.D-1,  5.D-1, 0.D0/)
+      r = self%gatherF(Xi, 4, self%r)
+      self%arNodes(4) = fPsi(4)*r*detJ
+
+    END SUBROUTINE areaQuad
 
     !TRIA ELEMENT
     !Init tria element
@@ -645,6 +645,18 @@ MODULE moduleMesh2DCyl
 
     END SUBROUTINE initCellTria2DCyl
 
+    !Gets node indexes from triangular element
+    PURE FUNCTION getNodesTria(self, nNodes) RESULT(n)
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCylTria), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
+
+      n = (/self%n1%n, self%n2%n, self%n3%n /)
+
+    END FUNCTION getNodesTria
+
     !Random position in quadrilateral volume
     FUNCTION randPosCellTria(self) RESULT(r)
       USE moduleRandom
@@ -667,36 +679,10 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION randPosCellTria
 
-    !Calculates area for triangular element
-    PURE SUBROUTINE areaTria(self)
-      USE moduleConstParam, ONLY: PI
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCylTria), INTENT(inout):: self
-      REAL(8):: Xi(1:3)
-      REAL(8):: r
-      REAL(8):: detJ
-      REAL(8):: fPsi(1:3)
-
-      self%volume  = 0.D0
-      self%arNodes = 0.D0
-      !2D 1 point Gauss Quad Integral
-      Xi = (/1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
-      detJ  = self%detJac(Xi, 3)*PI !2PI*1/2
-      fPsi = self%fPsi(Xi, 4)
-      !Computes total volume of the cell
-      r = DOT_PRODUCT(fPsi,self%r)
-      self%volume  =      r*detJ
-      !Computes volume per node
-      self%arNodes = fPsi*r*detJ
-
-    END SUBROUTINE areaTria
-
     !Shape functions for triangular element
-    PURE FUNCTION fPsiTria(self, Xi, nNodes) RESULT(fPsi)
+    PURE FUNCTION fPsiTria(Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
-      CLASS(meshCell2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
       REAL(8):: fPsi(1:nNodes)
@@ -708,10 +694,9 @@ MODULE moduleMesh2DCyl
     END FUNCTION fPsiTria
 
     !Derivative element function at coordinates Xi
-    PURE FUNCTION dPsiTria(self, Xi, nNodes) RESULT(dPsi)
+    PURE FUNCTION dPsiTria(Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
-      CLASS(meshCell2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
       REAL(8):: dPsi(1:3,1:nNodes)
@@ -723,84 +708,22 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION dPsiTria
 
-    PURE SUBROUTINE partialDerTria(self, nNodes, dPsi, dz, dr)
+    PURE FUNCTION partialDerTria(self, nNodes, dPsi) RESULT(pDer)
       IMPLICIT NONE
 
       CLASS(meshCell2DCylTria), INTENT(in):: self
       INTEGER, INTENT(in):: nNodes
       REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
-      REAL(8), INTENT(out), DIMENSION(1:2):: dz, dr
+      REAL(8):: pDer(1:3, 1:3)
 
-      dz = (/ DOT_PRODUCT(dPsi(1,:),self%z), &
-              DOT_PRODUCT(dPsi(2,:),self%z) /)
-      dr = (/ DOT_PRODUCT(dPsi(1,:),self%r), &
-              DOT_PRODUCT(dPsi(2,:),self%r) /)
+      pDer = 0.D0
 
-    END SUBROUTINE partialDerTria
+      pDer(1, 1:2) = (/ DOT_PRODUCT(dPsi(1,1:3),self%z(1:3)), &
+                        DOT_PRODUCT(dPsi(2,1:3),self%z(1:3)) /)
+      pDer(2, 1:2) = (/ DOT_PRODUCT(dPsi(1,1:3),self%r(1:3)), &
+                        DOT_PRODUCT(dPsi(2,1:3),self%r(1:3)) /)
 
-    !Computes element local stiffness matrix
-    PURE FUNCTION elemKTria(self, nNodes) RESULT(localK)
-      USE moduleConstParam, ONLY: PI2
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCylTria), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8):: localK(1:nNodes,1:nNodes)
-      REAL(8):: Xi(1:3)
-      REAL(8):: r
-      REAL(8):: fPsi(1:3), dPsi(1:3,1:3)
-      REAL(8):: invJ(1:3,1:3), detJ
-      INTEGER:: l
-
-      localK=0.D0
-      Xi=0.D0
-      !Start 2D Gauss Quad Integral
-      DO l=1, 4
-        Xi(1)  = Xi1Tria(l)
-        Xi(2)  = Xi2Tria(l)
-        dPsi   = self%dPsi(Xi, 4)
-        detJ   = self%detJac(Xi, 3, dPsi)
-        invJ   = self%invJac(Xi, 3, dPsi)
-        fPsi   = self%fPsi(Xi, 4)
-        r      = DOT_PRODUCT(fPsi,self%r)
-        localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*r*wTria(l)/detJ
-
-      END DO
-      localK = localK*PI2
-
-    END FUNCTION elemKTria
-
-    !Computes element local source vector
-    PURE FUNCTION elemFTria(self, nNodes, source) RESULT(localF)
-      USE moduleConstParam, ONLY: PI2
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCylTria), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in):: source(1:nNodes)
-      REAL(8):: localF(1:nNodes)
-      REAL(8):: fPsi(1:3)
-      REAL(8):: Xi(1:3)
-      REAL(8):: r
-      REAL(8):: detJ, f
-      INTEGER:: l
-
-      localF = 0.D0
-      Xi     = 0.D0
-      !Start 2D Gauss Quad Integral
-      DO l=1, 4
-        Xi(1)  = Xi1Tria(l)
-        Xi(2)  = Xi2Tria(l)
-        detJ   = self%detJac(Xi, 3)
-        fPsi   = self%fPsi(Xi, 3)
-        r      = DOT_PRODUCT(fPsi,self%r)
-        f      = DOT_PRODUCT(fPsi,source)
-        localF = localF + r*f*fPsi*wTria(l)*detJ
-
-      END DO
-      localF = localF*PI2
-
-    END FUNCTION elemFTria
+    END FUNCTION partialDerTria
 
     PURE FUNCTION gatherEFTria(self, Xi) RESULT(array)
       IMPLICIT NONE
@@ -840,6 +763,75 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION gatherMFTria
 
+    !Computes element local stiffness matrix
+    PURE FUNCTION elemKTria(self, nNodes) RESULT(localK)
+      USE moduleConstParam, ONLY: PI2
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCylTria), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
+      REAL(8):: Xi(1:3)
+      REAL(8):: r
+      REAL(8):: fPsi(1:3), dPsi(1:3,1:3)
+      REAL(8):: pDer(1:3, 1:3)
+      REAL(8):: invJ(1:3,1:3), detJ
+      INTEGER:: l
+
+      localK=0.D0
+      Xi=0.D0
+      !Start 2D Gauss Quad Integral
+      DO l=1, 4
+        Xi(1)  = Xi1Tria(l)
+        Xi(2)  = Xi2Tria(l)
+        dPsi   = self%dPsi(Xi, 3)
+        pDer   = self%partialDer(3, dPsi)
+        detJ   = self%detJac(pDer)
+        invJ   = self%invJac(pDer)
+        fPsi   = self%fPsi(Xi, 3)
+        r      = DOT_PRODUCT(fPsi,self%r)
+        localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*r*wTria(l)/detJ
+
+      END DO
+      localK = localK*PI2
+
+    END FUNCTION elemKTria
+
+    !Computes element local source vector
+    PURE FUNCTION elemFTria(self, nNodes, source) RESULT(localF)
+      USE moduleConstParam, ONLY: PI2
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCylTria), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
+      REAL(8):: fPsi(1:3)
+      REAL(8):: dPsi(1:3, 1:3), pDer(1:3, 1:3)
+      REAL(8):: Xi(1:3)
+      REAL(8):: r
+      REAL(8):: detJ, f
+      INTEGER:: l
+
+      localF = 0.D0
+      Xi     = 0.D0
+      !Start 2D Gauss Quad Integral
+      DO l=1, 4
+        Xi(1)  = Xi1Tria(l)
+        Xi(2)  = Xi2Tria(l)
+        dPsi   = self%dPsi(Xi, 3)
+        pDer   = self%partialDer(3, dPsi)
+        detJ   = self%detJac(pDer)
+        fPsi   = self%fPsi(Xi, 3)
+        r      = DOT_PRODUCT(fPsi,self%r)
+        f      = DOT_PRODUCT(fPsi,source)
+        localF = localF + r*f*fPsi*wTria(l)*detJ
+
+      END DO
+      localF = localF*PI2
+
+    END FUNCTION elemFTria
+
     PURE FUNCTION insideTria(Xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -852,18 +844,6 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION insideTria
 
-    !Gets node indexes from triangular element
-    PURE FUNCTION getNodesTria(self, nNodes) RESULT(n)
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCylTria), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      INTEGER:: n(1:nNodes)
-
-      n = (/self%n1%n, self%n2%n, self%n3%n /)
-
-    END FUNCTION getNodesTria
-
     !Transforms physical coordinates to element coordinates
     PURE FUNCTION phy2logTria(self,r) RESULT(Xi)
       IMPLICIT NONE
@@ -871,96 +851,97 @@ MODULE moduleMesh2DCyl
       CLASS(meshCell2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: Xi(1:3)
-      REAL(8):: invJ(1:3,1:3), detJ
       REAL(8):: deltaR(1:3)
-      REAL(8):: dPsi(1:3,1:3)
+      REAL(8):: dPsi(1:3, 1:3)
+      REAL(8):: pDer(1:3, 1:3)
+      REAL(8):: invJ(1:3,  1:3), detJ
 
       !Direct method to convert coordinates
       Xi     = 0.D0
       deltaR = (/ r(1) - self%z(1), r(2) - self%r(1), 0.D0 /)
       dPsi   = self%dPsi(Xi, 3)
-      invJ   = self%invJac(Xi, 3,  dPsi)
-      detJ   = self%detJac(Xi, 3,  dPsi)
+      pDer   = self%partialDer(3, dPsi)
+      invJ   = self%invJac(pDer)
+      detJ   = self%detJac(pDer)
       Xi     = MATMUL(invJ,deltaR)/detJ
 
     END FUNCTION phy2logTria
 
-    SUBROUTINE nextElementTria(self, Xi, nextElement)
+    SUBROUTINE neighbourElementTria(self, Xi, neighbourElement)
       IMPLICIT NONE
 
       CLASS(meshCell2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      CLASS(meshElement), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: neighbourElement
       REAL(8):: XiArray(1:3)
       INTEGER:: nextInt
 
       XiArray = (/ Xi(2), 1.D0-Xi(1)-Xi(2), Xi(1) /)
       nextInt = MINLOC(XiArray,1)
-      NULLIFY(nextElement)
+      NULLIFY(neighbourElement)
       SELECT CASE (nextInt)
       CASE (1)
-        nextElement => self%e1
+        neighbourElement => self%e1
       CASE (2)
-        nextElement => self%e2
+        neighbourElement => self%e2
       CASE (3)
-        nextElement => self%e3
+        neighbourElement => self%e3
       END SELECT
 
-    END SUBROUTINE nextElementTria
+    END SUBROUTINE neighbourElementTria
+
+    !Calculates area for triangular element
+    PURE SUBROUTINE areaTria(self)
+      USE moduleConstParam, ONLY: PI
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCylTria), INTENT(inout):: self
+      REAL(8):: Xi(1:3)
+      REAL(8):: r
+      REAL(8):: dPsi(1:3, 1:3), pDer(1:3, 1:3)
+      REAL(8):: detJ
+      REAL(8):: fPsi(1:3)
+
+      self%volume  = 0.D0
+      self%arNodes = 0.D0
+      !2D 1 point Gauss Quad Integral
+      Xi = (/ 1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
+      dPsi = self%dPsi(Xi, 3)
+      pDer = self%partialDer(3, dPsi)
+      detJ = self%detJac(pDer)*PI !2PI*1/2
+      fPsi = self%fPsi(Xi, 4)
+      !Computes total volume of the cell
+      r = DOT_PRODUCT(fPsi,self%r)
+      self%volume  =      r*detJ
+      !Computes volume per node
+      self%arNodes = fPsi*r*detJ
+
+    END SUBROUTINE areaTria
 
     !COMMON FUNCTIONS FOR CYLINDRICAL VOLUME ELEMENTS
     !Computes element Jacobian determinant
-    PURE FUNCTION detJ2DCyl(self, Xi, nNodes, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ2DCyl(pDer) RESULT(dJ)
       IMPLICIT NONE
 
-      CLASS(meshCell2DCyl), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
+      REAL(8), INTENT(in):: pDer(1:3, 1:3)
       REAL(8):: dJ
-      REAL(8):: dPsi(1:3,1:nNodes)
-      REAL(8):: dz(1:2), dr(1:2)
 
-      IF(PRESENT(dPsi_in)) THEN
-        dPsi = dPsi_in
-
-      ELSE
-        dPsi = self%dPsi(Xi, nNodes)
-
-      END IF
-
-      CALL self%partialDer(nNodes, dPsi, dz, dr)
-
-      dJ = dz(1)*dr(2)-dz(2)*dr(1)
+      dJ = pDer(1,1)*pDer(2,2)-pDer(1,2)*pDer(2,1)
 
     END FUNCTION detJ2DCyl
 
     !Computes element Jacobian inverse matrix (without determinant)
-    PURE FUNCTION invJ2DCyl(self, Xi, nNodes, dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ2DCyl(pDer) RESULT(invJ)
       IMPLICIT NONE
 
-      CLASS(meshCell2DCyl), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
+      REAL(8), INTENT(in):: pDer(1:3, 1:3)
       REAL(8):: invJ(1:3,1:3)
-      REAL(8):: dPsi(1:3,1:nNodes)
-      REAL(8):: dz(1:2), dr(1:2)
-
-      IF(PRESENT(dPsi_in)) THEN
-        dPsi=dPsi_in
-
-      ELSE
-        dPsi = self%dPsi(Xi, 4)
-
-      END IF
 
       invJ = 0.D0
 
-      CALL self%partialDer(nNodes, dPsi, dz, dr)
-
-      invJ(1,1:2) = (/  dr(2), -dz(2) /)
-      invJ(2,1:2) = (/ -dr(1),  dz(1) /)
+      invJ(1,1:2) = (/  pDer(2,2), -pDer(1,2) /)
+      invJ(2,1:2) = (/ -pDer(2,1),  pDer(1,1) /)
+      invJ(3,3)   = 1.D0
 
     END FUNCTION invJ2DCyl
 
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 705587a..a2c849d 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -11,6 +11,7 @@ MODULE moduleMesh3DCart
     !Element coordinates
     REAL(8):: x, y, z
     CONTAINS
+      !meshNode DEFERRED PROCEDURES
       PROCEDURE, PASS:: init           => initNode3DCart
       PROCEDURE, PASS:: getCoordinates => getCoord3DCart
 
@@ -23,36 +24,18 @@ MODULE moduleMesh3DCart
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL()
     CONTAINS
+      !meshEdge DEFERRED PROCEDURES
       PROCEDURE, PASS::   init         => initEdge3DCartTria
       PROCEDURE, PASS::   getNodes     => getNodes3DCartTria
       PROCEDURE, PASS::   intersection => intersection3DCartTria
       PROCEDURE, PASS::   randPos      => randPosEdgeTria
+      !PARTICULAR PROCEDURES
       PROCEDURE, NOPASS:: fPsi         => fPsiEdgeTria
 
   END TYPE meshEdge3DCartTria
 
-  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshCell):: meshCell3DCart
-    CONTAINS
-      PROCEDURE, PASS:: detJac => detJ3DCart
-      PROCEDURE, PASS:: invJac => invJ3DCart
-      PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
-  
-  END TYPE meshCell3DCart
-
-  ABSTRACT INTERFACE
-    PURE SUBROUTINE partialDer_interface(self, nNodes, dPsi, dx, dy, dz)
-      IMPORT meshCell3DCart
-      CLASS(meshCell3DCart), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
-      REAL(8), INTENT(out), DIMENSION(1:3):: dx, dy, dz
-
-    END SUBROUTINE partialDer_interface
-
-  END INTERFACE
-
   !Tetrahedron volume element
-  TYPE, PUBLIC, EXTENDS(meshCell3DCart):: meshCell3DCartTetra
+  TYPE, PUBLIC, EXTENDS(meshCell):: meshCell3DCartTetra
     !Element Coordinates
     REAL(8):: x(1:4) = 0.D0, y(1:4) = 0.D0, z(1:4) = 0.D0
     !Connectivity to nodes
@@ -60,22 +43,24 @@ MODULE moduleMesh3DCart
     !Connectivity to adjacent elements
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
     CONTAINS
-      PROCEDURE, PASS::   init        => initCellTetra
-      PROCEDURE, PASS::   randPos     => randPosCellTetra
-      PROCEDURE, PASS::   calcCell     => volumeTetra
-      PROCEDURE, PASS:: fPsi        => fPsiTetra
-      PROCEDURE, PASS:: dPsi        => dPsiTetra
-      PROCEDURE, NOPASS, PRIVATE:: dPsiXi1 => dPsiTetraXi1
-      PROCEDURE, NOPASS, PRIVATE:: dPsiXi2 => dPsiTetraXi2
-      PROCEDURE, PASS::   partialDer  => partialDerTetra
-      PROCEDURE, PASS::   elemK       => elemKTetra
-      PROCEDURE, PASS::   elemF       => elemFTetra
-      PROCEDURE, PASS:: gatherElectricField => gatherEFTetra
-      PROCEDURE, PASS:: gatherMagneticField => gatherMFTetra
-      PROCEDURE, NOPASS:: inside      => insideTetra
-      PROCEDURE, PASS::   getNodes    => getNodesTetra
-      PROCEDURE, PASS::   phy2log     => phy2logTetra
-      PROCEDURE, PASS::   nextElement => nextElementTetra
+      !meshCell DEFERRED PROCEDURES
+      PROCEDURE, PASS::   init                => initCellTetra
+      PROCEDURE, PASS::   getNodes            => getNodesTetra
+      PROCEDURE, PASS::   randPos             => randPosCellTetra
+      PROCEDURE, NOPASS:: fPsi                => fPsiTetra
+      PROCEDURE, NOPASS:: dPsi                => dPsiTetra
+      PROCEDURE, PASS::   partialDer          => partialDerTetra
+      PROCEDURE, NOPASS:: detJac              => detJ3DCart
+      PROCEDURE, NOPASS:: invJac              => invJ3DCart
+      PROCEDURE, PASS::   gatherElectricField => gatherEFTetra
+      PROCEDURE, PASS::   gatherMagneticField => gatherMFTetra
+      PROCEDURE, PASS::   elemK               => elemKTetra
+      PROCEDURE, PASS::   elemF               => elemFTetra
+      PROCEDURE, NOPASS:: inside              => insideTetra
+      PROCEDURE, PASS::   phy2log             => phy2logTetra
+      PROCEDURE, PASS::   neighbourElement    => neighbourElementTetra
+      !PARTICULAR PROCEDURES
+      PROCEDURE, PASS::   calcVol             => volumeTetra
       
   END TYPE meshCell3DCartTetra
 
@@ -227,13 +212,11 @@ MODULE moduleMesh3DCart
       IMPLICIT NONE
 
       REAL(8), INTENT(in):: Xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
-
-      ALLOCATE(fPsi(1:3))
+      REAL(8):: fPsi(1:3)
 
       fPsi(1) = 1.D0 - Xi(1) - Xi(2)
       fPsi(2) =        Xi(1)
-      fPsi(3) =                 Xi(2)
+      fPsi(3) =                Xi(2)
 
     END FUNCTION fPsiEdgeTria
 
@@ -268,7 +251,7 @@ MODULE moduleMesh3DCart
       self%z  = (/r1(3), r2(3), r3(3), r4(3)/)
 
       !Computes the element volume
-      CALL self%calcCell()
+      CALL self%calcVol()
 
       !Assign proportional volume to each node
       Xi = (/0.25D0, 0.25D0, 0.25D0/)
@@ -286,6 +269,17 @@ MODULE moduleMesh3DCart
 
     END SUBROUTINE initCellTetra
 
+    PURE FUNCTION getNodesTetra(self, nNodes) RESULT(n)
+      IMPLICIT NONE
+
+      CLASS(meshCell3DCartTetra), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
+
+      n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
+
+    END FUNCTION getNodesTetra
+
     !Random position in volume tetrahedron
     FUNCTION randPosCellTetra(self) RESULT(r)
       USE moduleRandom
@@ -308,24 +302,10 @@ MODULE moduleMesh3DCart
 
     END FUNCTION randPosCellTetra
 
-    !Computes the element volume
-    PURE SUBROUTINE volumeTetra(self)
-      IMPLICIT NONE
-
-      CLASS(meshCell3DCartTetra), INTENT(inout):: self
-      REAL(8):: Xi(1:3)
-
-      self%volume = 0.D0
-      Xi = (/0.25D0, 0.25D0, 0.25D0/)
-      self%volume = self%detJac(Xi, 4)
-
-    END SUBROUTINE volumeTetra
-
     !Computes element functions in point Xi
-    PURE FUNCTION fPsiTetra(self, Xi, nNodes) RESULT(fPsi)
+    PURE FUNCTION fPsiTetra(Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
-      CLASS(meshCell3DCartTetra), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
       REAL(8):: fPsi(1:nNodes)
@@ -338,127 +318,45 @@ MODULE moduleMesh3DCart
     END FUNCTION fPsiTetra
 
     !Derivative element function at coordinates Xi
-    PURE FUNCTION dPsiTetra(self, Xi, nNodes) RESULT(dPsi)
+    PURE FUNCTION dPsiTetra(Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
-      CLASS(meshCell3DCartTetra), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
       REAL(8):: dPsi(1:3, 1:nNodes)
 
       dPsi = 0.D0
 
-      dPsi(1,:) = dPsiTetraXi1(Xi(2), Xi(3))
-      dPsi(2,:) = dPsiTetraXi2(Xi(1), Xi(3))
-      dPsi(3,:) = dPsiTetraXi3(Xi(1), Xi(2))
+      dPsi(1,1:4) = (/ -1.D0, 1.D0, 0.D0, 0.D0 /)
+      dPsi(2,1:4) = (/ -1.D0, 0.D0, 1.D0, 0.D0 /)
+      dPsi(3,1:4) = (/ -1.D0, 0.D0, 0.D0, 1.D0 /)
 
     END FUNCTION dPsiTetra
 
-    !Derivative element function respect to Xi1
-    PURE FUNCTION dPsiTetraXi1(Xi2, Xi3) RESULT(dPsiXi1)
-      IMPLICIT NONE
-      REAL(8), INTENT(in):: Xi2, Xi3
-      REAL(8):: dPsiXi1(1:4)
-
-      dPsiXi1(1) = -1.D0
-      dPsiXi1(2) =  1.D0
-      dPsiXi1(3) =  0.D0
-      dPsiXi1(4) =  0.D0
-
-    END FUNCTION dPsiTetraXi1
-      
-    !Derivative element function respect to Xi2
-    PURE FUNCTION dPsiTetraXi2(Xi1, Xi3) RESULT(dPsiXi2)
-      IMPLICIT NONE
-      REAL(8), INTENT(in):: Xi1, Xi3
-      REAL(8):: dPsiXi2(1:4)
-
-      dPsiXi2(1) = -1.D0
-      dPsiXi2(2) =  0.D0
-      dPsiXi2(3) =  1.D0
-      dPsiXi2(4) =  0.D0
-
-    END FUNCTION dPsiTetraXi2
-      
-    !Derivative element function respect to Xi3
-    PURE FUNCTION dPsiTetraXi3(Xi1, Xi2) RESULT(dPsiXi3)
-      IMPLICIT NONE
-      REAL(8), INTENT(in):: Xi1, Xi2
-      REAL(8):: dPsiXi3(1:4)
-
-      dPsiXi3(1) = -1.D0
-      dPsiXi3(2) =  0.D0
-      dPsiXi3(3) =  0.D0
-      dPsiXi3(4) =  1.D0
-
-    END FUNCTION dPsiTetraXi3
-    
     !Computes the derivatives in global coordinates
-    PURE SUBROUTINE partialDerTetra(self, nNodes, dPsi, dx, dy, dz)
+    PURE FUNCTION partialDerTetra(self, nNodes, dPsi) RESULT(pDer)
       IMPLICIT NONE
 
       CLASS(meshCell3DCartTetra), INTENT(in):: self
       INTEGER, INTENT(in):: nNodes
       REAL(8), INTENT(in):: dPsi(1:3, 1:nNodes)
-      REAL(8), INTENT(out), DIMENSION(1:3):: dx, dy, dz
+      REAL(8):: pDer(1:3, 1:3)
 
-      dx(1) = DOT_PRODUCT(dPsi(1,:), self%x)
-      dx(2) = DOT_PRODUCT(dPsi(2,:), self%x)
-      dx(3) = DOT_PRODUCT(dPsi(3,:), self%x)
+      pDer = 0.D0
 
-      dy(1) = DOT_PRODUCT(dPsi(1,:), self%y)
-      dy(2) = DOT_PRODUCT(dPsi(2,:), self%y)
-      dy(3) = DOT_PRODUCT(dPsi(3,:), self%y)
+      pDer(1, 1:3) = (/ DOT_PRODUCT(dPsi(1,1:4), self%x(1:4)), &
+                        DOT_PRODUCT(dPsi(2,1:4), self%x(1:4)), &
+                        DOT_PRODUCT(dPsi(3,1:4), self%x(1:4)) /)
 
-      dz(1) = DOT_PRODUCT(dPsi(1,:), self%z)
-      dz(2) = DOT_PRODUCT(dPsi(2,:), self%z)
-      dz(3) = DOT_PRODUCT(dPsi(3,:), self%z)
+      pDer(2, 1:3) = (/ DOT_PRODUCT(dPsi(1,1:4), self%y(1:4)), &
+                        DOT_PRODUCT(dPsi(2,1:4), self%y(1:4)), &
+                        DOT_PRODUCT(dPsi(3,1:4), self%y(1:4)) /)
 
-    END SUBROUTINE partialDerTetra
+      pDer(3, 1:3) = (/ DOT_PRODUCT(dPsi(1,1:4), self%z(1:4)), &
+                        DOT_PRODUCT(dPsi(2,1:4), self%z(1:4)), &
+                        DOT_PRODUCT(dPsi(3,1:4), self%z(1:4)) /)
 
-    PURE FUNCTION elemKTetra(self, nNodes) RESULT(localK)
-      IMPLICIT NONE
-
-      CLASS(meshCell3DCartTetra), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8):: localK(1:nNodes,1:nNodes)
-      REAL(8):: Xi(1:3)
-      REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
-      REAL(8):: invJ(1:3,1:3), detJ
-
-      localK = 0.D0
-      Xi    = 0.D0
-      !TODO: One point Gauss integral. Upgrade when possible
-      Xi    = (/ 0.25D0, 0.25D0, 0.25D0 /)
-      dPsi   = self%dPsi(Xi, 4)
-      detJ   = self%detJac(Xi, 4, dPsi)
-      invJ   = self%invJac(Xi, 4, dPsi)
-      fPsi = self%fPsi(Xi, 4)
-      localK = MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*1.D0/detJ
-
-    END FUNCTION elemKTetra
-
-    PURE FUNCTION elemFTetra(self, nNodes, source) RESULT(localF)
-      IMPLICIT NONE
-
-      CLASS(meshCell3DCartTetra), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in):: source(1:nNodes)
-      REAL(8):: localF(1:nNodes)
-      REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
-      REAL(8):: Xi(1:3)
-      REAL(8):: detJ, f
-
-      localF = 0.D0
-      Xi   = 0.D0
-      Xi   = (/ 0.25D0, 0.25D0, 0.25D0 /)
-      dPsi = self%dPsi(Xi, 4)
-      detJ = self%detJac(Xi, 4, dPsi)
-      fPsi = self%fPsi(Xi, 4)
-      f    = DOT_PRODUCT(fPsi, source)
-      localF = f*fPsi*1.D0*detJ
-
-    END FUNCTION elemFTetra
+    END FUNCTION partialDerTetra
 
     PURE FUNCTION gatherEFTetra(self, Xi) RESULT(array)
       IMPLICIT NONE
@@ -502,6 +400,54 @@ MODULE moduleMesh3DCart
 
     END FUNCTION gatherMFTetra
 
+    PURE FUNCTION elemKTetra(self, nNodes) RESULT(localK)
+      IMPLICIT NONE
+
+      CLASS(meshCell3DCartTetra), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
+      REAL(8):: Xi(1:3)
+      REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
+      REAL(8):: pDer(1:3, 1:3)
+      REAL(8):: invJ(1:3,1:3), detJ
+
+      localK = 0.D0
+      Xi    = 0.D0
+      !TODO: One point Gauss integral. Upgrade when possible
+      Xi     = (/ 0.25D0, 0.25D0, 0.25D0 /)
+      dPsi   = self%dPsi(Xi, 4)
+      pDer   = self%partialDer(4, dPsi)
+      detJ   = self%detJac(pDer)
+      invJ   = self%invJac(pDer)
+      fPsi = self%fPsi(Xi, 4)
+      localK = MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*1.D0/detJ
+
+    END FUNCTION elemKTetra
+
+    PURE FUNCTION elemFTetra(self, nNodes, source) RESULT(localF)
+      IMPLICIT NONE
+
+      CLASS(meshCell3DCartTetra), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
+      REAL(8):: Xi(1:3)
+      REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
+      REAL(8):: pDer(1:3, 1:3)
+      REAL(8):: detJ, f
+
+      localF = 0.D0
+      Xi   = 0.D0
+      Xi   = (/ 0.25D0, 0.25D0, 0.25D0 /)
+      dPsi = self%dPsi(Xi, 4)
+      pDer = self%partialDer(4, dPsi)
+      detJ = self%detJac(pDer)
+      fPsi = self%fPsi(Xi, 4)
+      f    = DOT_PRODUCT(fPsi, source)
+      localF = f*fPsi*1.D0*detJ
+
+    END FUNCTION elemFTetra
+
     PURE FUNCTION insideTetra(Xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -515,121 +461,101 @@ MODULE moduleMesh3DCart
       
     END FUNCTION insideTetra
 
-    PURE FUNCTION getNodesTetra(self, nNodes) RESULT(n)
-      IMPLICIT NONE
-
-      CLASS(meshCell3DCartTetra), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      INTEGER:: n(1:nNodes)
-
-      n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
-
-    END FUNCTION getNodesTetra
-
     PURE FUNCTION phy2logTetra(self,r) RESULT(Xi)
       IMPLICIT NONE
 
       CLASS(meshCell3DCartTetra), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: Xi(1:3)
+      REAL(8):: dPsi(1:3, 1:4)
+      REAL(8):: pDer(1:3, 1:3)
       REAL(8):: invJ(1:3, 1:3), detJ
       REAL(8):: deltaR(1:3)
-      REAL(8):: dPsi(1:3, 1:4)
 
       Xi     = 0.D0
       deltaR = (/r(1) - self%x(1), r(2) - self%y(1), r(3) - self%z(1) /)
       dPsi   = self%dPsi(Xi, 4)
-      invJ   = self%invJac(Xi, 4, dPsi)
-      detJ   = self%detJac(Xi, 4, dPsi)
+      pDer   = self%partialDer(4, dPsi)
+      invJ   = self%invJac(pDer)
+      detJ   = self%detJac(pDer)
       Xi     = MATMUL(invJ, deltaR)/detJ
 
     END FUNCTION phy2logTetra
     
-    SUBROUTINE nextElementTetra(self, Xi, nextElement)
+    SUBROUTINE neighbourElementTetra(self, Xi, neighbourElement)
       IMPLICIT NONE
 
       CLASS(meshCell3DCartTetra), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      CLASS(meshElement), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: neighbourElement
       REAL(8):: XiArray(1:4)
       INTEGER:: nextInt
 
       !TODO: Review when connectivity
       XiArray = (/ Xi(3), 1.D0 - Xi(1) - Xi(2) - Xi(3), Xi(2), Xi(1) /)
       nextInt = MINLOC(XiArray, 1)
-      NULLIFY(nextElement)
+      NULLIFY(neighbourElement)
       SELECT CASE(nextInt)
       CASE (1)
-        nextElement => self%e1
+        neighbourElement => self%e1
       CASE (2)
-        nextElement => self%e2
+        neighbourElement => self%e2
       CASE (3)
-        nextElement => self%e3
+        neighbourElement => self%e3
       CASE (4)
-        nextElement => self%e4
+        neighbourElement => self%e4
       END SELECT
 
-    END SUBROUTINE nextElementTetra
+    END SUBROUTINE neighbourElementTetra
+
+    !Computes the element volume
+    PURE SUBROUTINE volumeTetra(self)
+      IMPLICIT NONE
+
+      CLASS(meshCell3DCartTetra), INTENT(inout):: self
+      REAL(8):: Xi(1:3)
+      REAL(8):: dPsi(1:3, 1:4)
+      REAL(8):: pDer(1:3, 1:3)
+
+      self%volume = 0.D0
+      Xi = (/0.25D0, 0.25D0, 0.25D0/)
+      dPsi = self%dPsi(Xi, 4)
+      pDer = self%partialDer(4, dPsi)
+      self%volume = self%detJac(pDer)
+
+    END SUBROUTINE volumeTetra
 
     !COMMON FUNCTIONS FOR CARTESIAN VOLUME ELEMENTS IN 3D
     !Computes element Jacobian determinant
-    PURE FUNCTION detJ3DCart(self, Xi, nNodes, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ3DCart(pDer) RESULT(dJ)
       IMPLICIT NONE
 
-      CLASS(meshCell3DCart), INTENT(in)::self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3, 1:nNodes)
+      REAL(8), INTENT(in):: pDer(1:3, 1:3)
       REAL(8):: dJ
-      REAL(8):: dPsi(1:3, 1:nNodes)
-      REAL(8):: dx(1:3), dy(1:3), dz(1:3)
 
-      IF (PRESENT(dPsi_in)) THEN
-        dPsi = dPsi_in
-
-      ELSE
-        dPsi = self%dPsi(Xi, 4)
-
-      END IF
-
-      CALL self%partialDer(nNodes, dPsi, dx, dy, dz)
-      dJ =   dx(1)*(dy(2)*dz(3) - dy(3)*dz(2)) &
-           - dx(2)*(dy(1)*dz(3) - dy(3)*dz(1)) &
-           + dx(3)*(dy(1)*dz(2) - dy(2)*dz(1))
+      dJ =   pDer(1,1)*(pDer(2,2)*pDer(3,3) - pDer(2,3)*pDer(3,2)) &
+           - pDer(1,2)*(pDer(2,1)*pDer(3,3) - pDer(2,3)*pDer(3,1)) &
+           + pDer(1,3)*(pDer(2,1)*pDer(3,2) - pDer(2,2)*pDer(3,1))
 
     END FUNCTION detJ3DCart
 
-    PURE FUNCTION invJ3DCart(self, Xi, nNodes, dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ3DCart(pDer) RESULT(invJ)
       IMPLICIT NONE
 
-      CLASS(meshCell3DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3, 1:nNodes)
-      REAL(8):: dPsi(1:3, 1:nNodes)
-      REAL(8), DIMENSION(1:3):: dx, dy, dz
+      REAL(8), INTENT(in):: pDer(1:3, 1:3)
       REAL(8):: invJ(1:3,1:3)
 
-      IF(PRESENT(dPsi_in)) THEN
-        dPsi=dPsi_in
+      invJ(1,1:3) =  (/ (pDer(2,2)*pDer(3,3) - pDer(2,3)*pDer(3,2)), &
+                       -(pDer(2,1)*pDer(3,3) - pDer(2,3)*pDer(3,1)), &
+                        (pDer(2,1)*pDer(3,2) - pDer(2,2)*pDer(3,1)) /)
 
-      ELSE
-        dPsi = self%dPsi(Xi, 4)
+      invJ(2,1:3) = (/ -(pDer(1,2)*pDer(3,3) - pDer(1,3)*pDer(3,2)), &
+                        (pDer(1,1)*pDer(3,3) - pDer(1,3)*pDer(3,1)), &
+                       -(pDer(1,1)*pDer(3,2) - pDer(1,2)*pDer(3,1)) /)
 
-      END IF
-
-      CALL self%partialDer(nNodes, dPsi, dx, dy, dz)
-      invJ(1,1) =  (dy(2)*dz(3) - dy(3)*dz(2))
-      invJ(1,2) = -(dy(1)*dz(3) - dy(3)*dz(1))
-      invJ(1,3) =  (dy(1)*dz(2) - dy(2)*dz(1))
-
-      invJ(2,1) = -(dx(2)*dz(3) - dx(3)*dz(2))
-      invJ(2,2) =  (dx(1)*dz(3) - dx(3)*dz(1))
-      invJ(2,3) = -(dx(1)*dz(2) - dx(2)*dz(1))
-
-      invJ(3,1) =  (dx(2)*dy(3) - dx(3)*dy(2))
-      invJ(3,2) = -(dx(1)*dy(3) - dx(3)*dy(1))
-      invJ(3,3) =  (dx(1)*dy(2) - dx(2)*dy(1))
+      invJ(3,1:3) =  (/ (pDer(1,2)*pDer(2,3) - pDer(1,3)*pDer(2,2)), &
+                       -(pDer(1,1)*pDer(2,3) - pDer(1,3)*pDer(2,1)), &
+                        (pDer(1,1)*pDer(2,2) - pDer(1,2)*pDer(2,1)) /)
 
       invJ = TRANSPOSE(invJ)
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 6561850..97ce691 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -24,8 +24,10 @@ MODULE moduleMesh
     !Lock indicator for scattering
     INTEGER(KIND=OMP_LOCK_KIND):: lock
     CONTAINS
+      !DEFERED PROCEDURES
       PROCEDURE(initNode_interface),    DEFERRED, PASS:: init
       PROCEDURE(getCoord_interface),    DEFERRED, PASS:: getCoordinates
+      !GENERIC PROCEDURES
       PROCEDURE,                                  PASS:: resetOutput
 
   END TYPE meshNode
@@ -83,6 +85,7 @@ MODULE moduleMesh
     !Physical surface for the edge
     INTEGER:: physicalSurface
     CONTAINS
+      !DEFERED PROCEDURES
       PROCEDURE(initEdge_interface),         DEFERRED, PASS:: init
       PROCEDURE(getNodesEdge_interface),     DEFERRED, PASS:: getNodes
       PROCEDURE(intersectionEdge_interface), DEFERRED, PASS:: intersection
@@ -166,37 +169,41 @@ MODULE moduleMesh
     !Total weight of particles inside cell
     REAL(8), ALLOCATABLE:: totalWeight(:)
     CONTAINS
+      !DEFERRED PROCEDURES
       !Init the cell
-      PROCEDURE(initCell_interface), DEFERRED, PASS:: init
+      PROCEDURE(initCell_interface),         DEFERRED, PASS::   init
       !Get the index of the nodes
-      PROCEDURE(getNodesCell_interface), DEFERRED, PASS:: getNodes
+      PROCEDURE(getNodesCell_interface),     DEFERRED, PASS::   getNodes
       !Calculate random position on the cell
-      PROCEDURE(randPosVol_interface), DEFERRED, PASS:: randPos
+      PROCEDURE(randPosCell_interface),      DEFERRED, PASS::   randPos
       !Obtain functions and values of cell natural functions
-      PROCEDURE(fPsi_interface),   DEFERRED, PASS:: fPsi
-      PROCEDURE(dPsi_interface),   DEFERRED, PASS:: dPsi
-      PROCEDURE(detJac_interface), DEFERRED, PASS:: detJac
-      PROCEDURE(invJac_interface), DEFERRED, PASS:: invJac
+      PROCEDURE(fPsi_interface),             DEFERRED, NOPASS:: fPsi
+      PROCEDURE(dPsi_interface),             DEFERRED, NOPASS:: dPsi
+      PROCEDURE(partialDer_interface),       DEFERRED, PASS::   partialDer
+      PROCEDURE(detJac_interface),           DEFERRED, NOPASS:: detJac
+      PROCEDURE(invJac_interface),           DEFERRED, NOPASS:: invJac
+      !Procedures to get specific values in the node
+      PROCEDURE(gatherArray_interface),      DEFERRED, PASS::   gatherElectricField
+      PROCEDURE(gatherArray_interface),      DEFERRED, PASS::   gatherMagneticField
+      !Compute K and F to solve PDE on the mesh
+      PROCEDURE(elemK_interface),            DEFERRED, PASS::   elemK
+      PROCEDURE(elemF_interface),            DEFERRED, PASS::   elemF
+      !Check if particle is inside the cell
+      PROCEDURE(inside_interface),           DEFERRED, NOPASS:: inside
+      !Convert physical coordinates (r) into logical coordinates (Xi)
+      PROCEDURE(phy2log_interface),          DEFERRED, PASS::   phy2log
+      !Returns the neighbour element based on particle position outside the cell
+      PROCEDURE(neighbourElement_interface), DEFERRED, PASS::   neighbourElement
       !Scatter properties of particles on cell nodes
       PROCEDURE, PASS:: scatter
+      !Subroutine to find in which cell a particle is located
+      PROCEDURE, PASS:: findCell
       !Gather value and spatial derivative on the nodes at position Xi
       PROCEDURE, PASS, PRIVATE:: gatherF_scalar
       PROCEDURE, PASS, PRIVATE:: gatherF_array
       PROCEDURE, PASS, PRIVATE:: gatherDF_scalar
       GENERIC:: gatherF  => gatherF_scalar, gatherF_array
       GENERIC:: gatherDF => gatherDF_scalar
-      !Procedures to get specific values in the node
-      PROCEDURE(gatherArray_interface), DEFERRED, PASS:: gatherElectricField
-      PROCEDURE(gatherArray_interface), DEFERRED, PASS:: gatherMagneticField
-      !Compute K and F to solve PDE on the mesh
-      PROCEDURE(elemK_interface), DEFERRED, PASS:: elemK
-      PROCEDURE(elemF_interface), DEFERRED, PASS:: elemF
-      !Subroutines to find in which cell a particle is located
-      PROCEDURE,                                  PASS::   findCell
-      PROCEDURE(inside_interface),      DEFERRED, NOPASS:: inside
-      PROCEDURE(nextElement_interface), DEFERRED, PASS::   nextElement
-      !Convert physical coordinates (r) into logical coordinates (Xi)
-      PROCEDURE(phy2log_interface), DEFERRED, PASS:: phy2log
 
   END TYPE meshCell
 
@@ -219,40 +226,44 @@ MODULE moduleMesh
 
     END FUNCTION getNodesCell_interface
 
-    PURE FUNCTION fPsi_interface(self, Xi, nNodes) RESULT(fPsi)
+    FUNCTION randPosCell_interface(self) RESULT(r)
       IMPORT:: meshCell
       CLASS(meshCell), INTENT(in):: self
+      REAL(8):: r(1:3)
+
+    END FUNCTION randPosCell_interface
+
+    PURE FUNCTION fPsi_interface(Xi, nNodes) RESULT(fPsi)
       REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
       REAL(8):: fPsi(1:nNodes)
 
     END FUNCTION fPsi_interface
 
-    PURE FUNCTION dPsi_interface(self, Xi, nNodes) RESULT(dPsi)
-      IMPORT:: meshCell
-      CLASS(meshCell), INTENT(in):: self
+    PURE FUNCTION dPsi_interface(Xi, nNodes) RESULT(dPsi)
       REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
       REAL(8):: dPsi(1:3, 1:nNodes)
 
     END FUNCTION dPsi_interface
 
-    PURE FUNCTION detJac_interface(self, Xi, nNodes, dPsi_in) RESULT(dJ)
+    PURE FUNCTION partialDer_interface(self, nNodes, dPsi) RESULT(pDer)
       IMPORT:: meshCell
       CLASS(meshCell), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
+      REAL(8), INTENT(in):: dPsi(1:3, 1:nNodes)
+      REAL(8):: pDer(1:3, 1:3)
+
+    END FUNCTION partialDer_interface
+
+    PURE FUNCTION detJac_interface(pDer) RESULT(dJ)
+      REAL(8), INTENT(in):: pDer(1:3,1:3)
       REAL(8):: dJ
 
     END FUNCTION detJac_interface
 
-    PURE FUNCTION invJac_interface(self, Xi, nNodes, dPsi_in) RESULT(invJ)
-      IMPORT:: meshCell
-      CLASS(meshCell), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
+    PURE FUNCTION invJac_interface(pDer) RESULT(invJ)
+      REAL(8), INTENT(in):: pDer(1:3,1:3)
       REAL(8):: invJ(1:3,1:3)
 
     END FUNCTION invJac_interface
@@ -282,13 +293,12 @@ MODULE moduleMesh
 
     END FUNCTION elemF_interface
 
-    SUBROUTINE nextElement_interface(self, Xi, nextElement)
-      IMPORT:: meshCell, meshElement
-      CLASS(meshCell), INTENT(in):: self
+    PURE FUNCTION inside_interface(Xi) RESULT(ins)
+      IMPORT:: meshCell
       REAL(8), INTENT(in):: Xi(1:3)
-      CLASS(meshElement), POINTER, INTENT(out):: nextElement
+      LOGICAL:: ins
 
-    END SUBROUTINE nextElement_interface
+    END FUNCTION inside_interface
 
     PURE FUNCTION phy2log_interface(self,r) RESULT(Xi) 
       IMPORT:: meshCell
@@ -298,19 +308,13 @@ MODULE moduleMesh
 
     END FUNCTION phy2log_interface
 
-    PURE FUNCTION inside_interface(Xi) RESULT(ins)
-      IMPORT:: meshCell
-      REAL(8), INTENT(in):: Xi(1:3)
-      LOGICAL:: ins
-
-    END FUNCTION inside_interface
-
-    FUNCTION randPosVol_interface(self) RESULT(r)
-      IMPORT:: meshCell
+    SUBROUTINE neighbourElement_interface(self, Xi, neighbourElement)
+      IMPORT:: meshCell, meshElement
       CLASS(meshCell), INTENT(in):: self
-      REAL(8):: r(1:3)
+      REAL(8), INTENT(in):: Xi(1:3)
+      CLASS(meshElement), POINTER, INTENT(out):: neighbourElement
 
-    END FUNCTION randPosVol_interface
+    END SUBROUTINE neighbourElement_interface
 
   END INTERFACE
 
@@ -332,11 +336,13 @@ MODULE moduleMesh
     TYPE(meshNodeCont), ALLOCATABLE:: nodes(:)
     !Array of cell elements
     TYPE(meshCellCont),  ALLOCATABLE:: cells(:)
+    !PROCEDURES SPECIFIC OF FILE TYPE
     PROCEDURE(readMesh_interface),     POINTER, PASS::   readMesh     => NULL()
     PROCEDURE(readInitial_interface),  POINTER, NOPASS:: readInitial  => NULL()
     PROCEDURE(connectMesh_interface),  POINTER, PASS::   connectMesh  => NULL()
     PROCEDURE(printColl_interface),    POINTER, PASS::   printColl    => NULL()
     CONTAINS
+      !GENERIC PROCEDURES
       PROCEDURE, PASS:: doCollisions
 
   END TYPE meshGeneric
@@ -345,7 +351,6 @@ MODULE moduleMesh
     !Reads the mesh from a file
     SUBROUTINE readMesh_interface(self, filename)
       IMPORT meshGeneric
-
       CLASS(meshGeneric), INTENT(inout):: self
       CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
 
@@ -363,7 +368,6 @@ MODULE moduleMesh
     !Connects cell and edges to the mesh
     SUBROUTINE connectMesh_interface(self)
       IMPORT meshGeneric
-
       CLASS(meshGeneric), INTENT(inout):: self
 
     END SUBROUTINE connectMesh_interface
@@ -371,7 +375,6 @@ MODULE moduleMesh
     !Prints number of collisions in each cell
     SUBROUTINE printColl_interface(self, t)
       IMPORT meshGeneric
-
       CLASS(meshGeneric), INTENT(inout):: self
       INTEGER, INTENT(in):: t
 
@@ -388,28 +391,21 @@ MODULE moduleMesh
     REAL(8), ALLOCATABLE, DIMENSION(:,:):: K 
     !Permutation matrix for P L U factorization
     INTEGER, ALLOCATABLE, DIMENSION(:,:):: IPIV
+    !PROCEDURES SPECIFIC OF FILE TYPE
     PROCEDURE(printOutput_interface),  POINTER, PASS:: printOutput  => NULL()
     PROCEDURE(printEM_interface),      POINTER, PASS:: printEM      => NULL()
     PROCEDURE(doCoulomb_interface),    POINTER, PASS:: doCoulomb    => NULL()
     PROCEDURE(printAverage_interface), POINTER, PASS:: printAverage => NULL()
     CONTAINS
+      !GENERIC PROCEDURES
       PROCEDURE, PASS:: constructGlobalK
 
   END TYPE meshParticles
 
   ABSTRACT INTERFACE
-    !Perform Coulomb Scattering
-    SUBROUTINE doCoulomb_interface(self)
-      IMPORT meshParticles
-
-      CLASS(meshParticles), INTENT(inout):: self
-
-    END SUBROUTINE doCoulomb_interface
-    
     !Prints Species data
     SUBROUTINE printOutput_interface(self, t)
       IMPORT meshParticles
-
       CLASS(meshParticles), INTENT(in):: self
       INTEGER, INTENT(in):: t
 
@@ -418,21 +414,25 @@ MODULE moduleMesh
     !Prints EM info
     SUBROUTINE printEM_interface(self, t)
       IMPORT meshParticles
-
       CLASS(meshParticles), INTENT(in):: self
       INTEGER, INTENT(in):: t
 
     END SUBROUTINE printEM_interface
 
+    !Perform Coulomb Scattering
+    SUBROUTINE doCoulomb_interface(self)
+      IMPORT meshParticles
+      CLASS(meshParticles), INTENT(inout):: self
+
+    END SUBROUTINE doCoulomb_interface
+    
     !Prints average values
     SUBROUTINE printAverage_interface(self)
       IMPORT meshParticles
-
       CLASS(meshParticles), INTENT(in):: self
 
     END SUBROUTINE printAverage_interface
 
-
   END INTERFACE
 
   TYPE(meshParticles), TARGET:: mesh
@@ -440,6 +440,7 @@ MODULE moduleMesh
   !Collision (MCC) mesh
   TYPE, EXTENDS(meshGeneric):: meshCollisions
     CONTAINS
+      !GENERIC PROCEDURES
 
   END TYPE meshCollisions
 
@@ -448,7 +449,6 @@ MODULE moduleMesh
   ABSTRACT INTERFACE
     SUBROUTINE readMeshColl_interface(self, filename)
       IMPORT meshCollisions
-
       CLASS(meshCollisions), INTENT(inout):: self
       CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
 
@@ -577,12 +577,14 @@ MODULE moduleMesh
       REAL(8), INTENT(in):: valNodes(1:nNodes)
       REAL(8):: df(1:3)
       REAL(8):: dPsi(1:3, 1:nNodes)
+      REAL(8):: pDer(1:3,1:3)
       REAL(8):: dPsiR(1:3, 1:nNodes)
       REAL(8):: invJ(1:3, 1:3), detJ
 
       dPsi  = self%dPsi(Xi, nNodes)
-      detJ  = self%detJac(Xi, nNodes, dPsi)
-      invJ  = self%invJac(Xi, nNodes, dPsi)
+      pDer  = self%partialDer(nNodes, dPsi)
+      detJ  = self%detJac(pDer)
+      invJ  = self%invJac(pDer)
       dPsiR =  MATMUL(invJ, dPsi)/detJ
       df    = (/ DOT_PRODUCT(dPsiR(1,:), valNodes), &
                  DOT_PRODUCT(dPsiR(2,:), valNodes), &
@@ -637,7 +639,7 @@ MODULE moduleMesh
       CLASS(particle), INTENT(inout), TARGET:: part
       CLASS(meshCell), OPTIONAL, INTENT(in):: oldCell
       REAL(8):: Xi(1:3)
-      CLASS(meshElement), POINTER:: nextElement
+      CLASS(meshElement), POINTER:: neighbourElement
       INTEGER:: sp
 
       Xi = self%phy2log(part%r)
@@ -655,16 +657,16 @@ MODULE moduleMesh
 
       ELSE
         !If not, searches for a neighbour and repeats the process.
-        CALL self%nextElement(Xi, nextElement)
+        CALL self%neighbourElement(Xi, neighbourElement)
         !Defines the next step
-        SELECT TYPE(nextElement)
+        SELECT TYPE(neighbourElement)
         CLASS IS(meshCell)
           !Particle moved to new cell, repeat find procedure
-          CALL nextElement%findCell(part, self)
+          CALL neighbourElement%findCell(part, self)
 
         CLASS IS (meshEdge)
           !Particle encountered a surface, apply boundary
-          CALL nextElement%fBoundary(part%species%n)%apply(nextElement,part)
+          CALL neighbourElement%fBoundary(part%species%n)%apply(neighbourElement,part)
 
           !If particle is still inside the domain, call findCell
           IF (part%n_in) THEN 
@@ -709,7 +711,7 @@ MODULE moduleMesh
       LOGICAL:: found
       CLASS(meshCell), POINTER:: cell
       REAL(8), DIMENSION(1:3):: Xi
-      CLASS(meshElement), POINTER:: nextElement
+      CLASS(meshElement), POINTER:: neighbourElement
       INTEGER:: sp
 
       found = .FALSE.
@@ -727,11 +729,11 @@ MODULE moduleMesh
           found = .TRUE.
 
         ELSE
-          CALL cell%nextElement(Xi, nextElement)
-          SELECT TYPE(nextElement)
+          CALL cell%neighbourElement(Xi, neighbourElement)
+          SELECT TYPE(neighbourElement)
           CLASS IS(meshCell)
             !Try next element
-            cell => nextElement
+            cell => neighbourElement
 
           CLASS DEFAULT
             !Should never happend, but just in case, stops loops

From 7b7a5c45caacf7ca06ce6b5644609f2041589701 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 6 Jan 2023 15:18:04 +0100
Subject: [PATCH 077/203] Small improvement

Very small improvement in performance.

Still, partialDer takes too long to compute.
Trying to find ways to improve it.
---
 src/modules/mesh/0D/moduleMesh0D.f90         |  93 +--
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 | 356 +++++-----
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   | 412 ++++++-----
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 686 +++++++++----------
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   |  74 +-
 src/modules/mesh/3DCart/moduleMesh3DCart.f90 |   4 +-
 6 files changed, 788 insertions(+), 837 deletions(-)

diff --git a/src/modules/mesh/0D/moduleMesh0D.f90 b/src/modules/mesh/0D/moduleMesh0D.f90
index 5f89f20..133ae8e 100644
--- a/src/modules/mesh/0D/moduleMesh0D.f90
+++ b/src/modules/mesh/0D/moduleMesh0D.f90
@@ -6,7 +6,8 @@ MODULE moduleMesh0D
   TYPE, PUBLIC, EXTENDS(meshNode):: meshNode0D
     INTEGER:: n1
     CONTAINS
-      PROCEDURE, PASS:: init => initNode0D
+      !meshNode DEFERRED PROCEDURES
+      PROCEDURE, PASS:: init           => initNode0D
       PROCEDURE, PASS:: getCoordinates => getCoord0D
 
   END TYPE meshNode0D
@@ -14,20 +15,21 @@ MODULE moduleMesh0D
   TYPE, PUBLIC, EXTENDS(meshCell):: meshCell0D
     CLASS(meshNode), POINTER:: n1
     CONTAINS
-      PROCEDURE, PASS:: init => initCell0D
-      PROCEDURE, PASS:: getNodes    => getNodes0D
-      PROCEDURE, PASS:: randPos     => randPos0D
-      PROCEDURE, PASS:: fPsi      => fPsi0D
-      PROCEDURE, PASS:: dPsi      => dPsi0D
-      PROCEDURE, PASS:: detJac    => detJ0D
-      PROCEDURE, PASS:: invJac    => invJ0D
-      PROCEDURE, PASS:: elemK       => elemK0D
-      PROCEDURE, PASS:: elemF       => elemF0D
-      PROCEDURE, PASS:: gatherElectricField => gatherEF0D
-      PROCEDURE, PASS:: gatherMagneticField => gatherMF0D
-      PROCEDURE, PASS:: phy2log     => phy2log0D
-      PROCEDURE, NOPASS:: inside    => inside0D
-      PROCEDURE, PASS:: nextElement => nextElement0D
+      PROCEDURE, PASS::   init                => initCell0D
+      PROCEDURE, PASS::   getNodes            => getNodes0D
+      PROCEDURE, PASS::   randPos             => randPos0D
+      PROCEDURE, NOPASS:: fPsi                => fPsi0D
+      PROCEDURE, NOPASS:: dPsi                => dPsi0D
+      PROCEDURE, PASS::   partialDer          => partialDer0D
+      PROCEDURE, NOPASS:: detJac              => detJ0D
+      PROCEDURE, NOPASS:: invJac              => invJ0D
+      PROCEDURE, PASS::   gatherElectricField => gatherEF0D
+      PROCEDURE, PASS::   gatherMagneticField => gatherMF0D
+      PROCEDURE, PASS::   elemK               => elemK0D
+      PROCEDURE, PASS::   elemF               => elemF0D
+      PROCEDURE, PASS::   phy2log             => phy2log0D
+      PROCEDURE, NOPASS:: inside              => inside0D
+      PROCEDURE, PASS::   neighbourElement    => neighbourElement0D
 
   END TYPE meshCell0D
 
@@ -89,6 +91,7 @@ MODULE moduleMesh0D
 
     END SUBROUTINE initCell0D
 
+    !Get the nodes of the volume
     PURE FUNCTION getNodes0D(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
@@ -100,6 +103,7 @@ MODULE moduleMesh0D
 
     END FUNCTION getNodes0D
 
+    !Calculate random position inside the volume
     FUNCTION randPos0D(self) RESULT(r)
       IMPLICIT NONE
 
@@ -110,10 +114,9 @@ MODULE moduleMesh0D
 
     END FUNCTION randPos0D
 
-    PURE FUNCTION fPsi0D(self, Xi, nNodes) RESULT(fPsi)
+    PURE FUNCTION fPsi0D(Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
-      CLASS(meshCell0D), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
       REAL(8):: fPsi(1:nNodes)
@@ -122,10 +125,9 @@ MODULE moduleMesh0D
 
     END FUNCTION fPsi0D
 
-    PURE FUNCTION dPsi0D(self, Xi, nNodes) RESULT(dPsi)
+    PURE FUNCTION dPsi0D(Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
-      CLASS(meshCell0D), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
       REAL(8):: dPsi(1:3,1:nNodes)
@@ -134,31 +136,17 @@ MODULE moduleMesh0D
 
     END FUNCTION dPsi0D
 
-    PURE FUNCTION detJ0D(self, Xi, nNodes, dPsi_in) RESULT(dJ)
+    PURE FUNCTION partialDer0D(self, nNodes, dPsi) RESULT(pDer)
       IMPLICIT NONE
 
       CLASS(meshCell0D), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
-      REAL(8):: dJ
+      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
+      REAL(8):: pDer(1:3, 1:3)
 
-      dJ = 0.D0
+      pDer = 0.D0
 
-    END FUNCTION detJ0D
-
-    PURE FUNCTION invJ0D(self, Xi, nNodes, dPsi_in) RESULT(invJ)
-      IMPLICIT NONE
-
-      CLASS(meshCell0D), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
-      REAL(8):: invJ(1:3,1:3)
-
-      invJ = 0.D0
-
-    END FUNCTION invJ0D
+    END FUNCTION partialDer0D
 
     PURE FUNCTION elemK0D(self, nNodes) RESULT(localK)
       IMPLICIT NONE
@@ -234,15 +222,36 @@ MODULE moduleMesh0D
 
     END FUNCTION inside0D
 
-    SUBROUTINE nextElement0D(self, Xi, nextElement)
+    SUBROUTINE neighbourElement0D(self, Xi, neighbourElement)
       IMPLICIT NONE
 
       CLASS(meshCell0D), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      CLASS(meshElement), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: neighbourElement
 
-      nextElement => NULL()
+      neighbourElement => NULL()
 
-    END SUBROUTINE nextElement0D
+    END SUBROUTINE neighbourElement0D
+
+    !COMMON FUNCTIONS
+    PURE FUNCTION detJ0D(pDer) RESULT(dJ)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: pDer(1:3, 1:3)
+      REAL(8):: dJ
+
+      dJ = 0.D0
+
+    END FUNCTION detJ0D
+
+    PURE FUNCTION invJ0D(pDer) RESULT(invJ)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: pDer(1:3, 1:3)
+      REAL(8):: invJ(1:3,1:3)
+
+      invJ = 0.D0
+
+    END FUNCTION invJ0D
 
 END MODULE moduleMesh0D
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 56d1b65..6a43ca1 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -14,7 +14,8 @@ MODULE moduleMesh1DCart
     !Element coordinates
     REAL(8):: x = 0.D0
     CONTAINS
-      PROCEDURE, PASS:: init => initNode1DCart
+      !meshNode DEFERRED PROCEDURES
+      PROCEDURE, PASS:: init           => initNode1DCart
       PROCEDURE, PASS:: getCoordinates => getCoord1DCart
 
   END TYPE meshNode1DCart
@@ -25,6 +26,7 @@ MODULE moduleMesh1DCart
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL()
     CONTAINS
+      !meshEdge DEFERRED PROCEDURES
       PROCEDURE, PASS:: init         => initEdge1DCart
       PROCEDURE, PASS:: getNodes     => getNodes1DCart
       PROCEDURE, PASS:: intersection => intersection1DCart
@@ -32,27 +34,7 @@ MODULE moduleMesh1DCart
 
   END TYPE meshEdge1DCart
 
-  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshCell):: meshCell1DCart
-    CONTAINS
-      PROCEDURE, PASS:: detJac => detJ1DCart
-      PROCEDURE, PASS:: invJac => invJ1DCart
-      PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
-  
-  END TYPE meshCell1DCart
-
-  ABSTRACT INTERFACE
-    PURE SUBROUTINE partialDer_interface(self, nNodes, dPsi, dx)
-      IMPORT meshCell1DCart
-      CLASS(meshCell1DCart), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
-      REAL(8), INTENT(out), DIMENSION(1):: dx
-
-    END SUBROUTINE partialDer_interface
-
-  END INTERFACE
-
-  TYPE, PUBLIC, EXTENDS(meshCell1DCart):: meshCell1DCartSegm
+  TYPE, PUBLIC, EXTENDS(meshCell):: meshCell1DCartSegm
     !Element coordinates
     REAL(8):: x(1:2)
     !Connectivity to nodes
@@ -61,20 +43,24 @@ MODULE moduleMesh1DCart
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL()
     REAL(8):: arNodes(1:2)
     CONTAINS
-      PROCEDURE, PASS::   init        => initCell1DCartSegm
-      PROCEDURE, PASS::   randPos     => randPos1DCartSegm
-      PROCEDURE, PASS::   area        => areaSegm
-      PROCEDURE, PASS:: fPsi        => fPsiSegm
-      PROCEDURE, PASS:: dPsi        => dPsiSegm
-      PROCEDURE, PASS::   partialDer  => partialDerSegm
-      PROCEDURE, PASS::   elemK       => elemKSegm
-      PROCEDURE, PASS::   elemF       => elemFSegm
-      PROCEDURE, PASS:: gatherElectricField => gatherEFSegm
-      PROCEDURE, PASS:: gatherMagneticField => gatherMFSegm
-      PROCEDURE, NOPASS:: inside      => insideSegm
-      PROCEDURE, PASS::   getNodes    => getNodesSegm
-      PROCEDURE, PASS::   phy2log     => phy2logSegm
-      PROCEDURE, PASS::   nextElement => nextElementSegm
+      !meshCell DEFERRED PROCEDURES
+      PROCEDURE, PASS::   init                => initCell1DCartSegm
+      PROCEDURE, PASS::   getNodes            => getNodesSegm
+      PROCEDURE, PASS::   randPos             => randPos1DCartSegm
+      PROCEDURE, NOPASS:: fPsi                => fPsiSegm
+      PROCEDURE, NOPASS:: dPsi                => dPsiSegm
+      PROCEDURE, PASS::   partialDer          => partialDerSegm
+      PROCEDURE, NOPASS:: detJac              => detJ1DCart
+      PROCEDURE, NOPASS:: invJac              => invJ1DCart
+      PROCEDURE, PASS::   gatherElectricField => gatherEFSegm
+      PROCEDURE, PASS::   gatherMagneticField => gatherMFSegm
+      PROCEDURE, PASS::   elemK               => elemKSegm
+      PROCEDURE, PASS::   elemF               => elemFSegm
+      PROCEDURE, NOPASS:: inside              => insideSegm
+      PROCEDURE, PASS::   phy2log             => phy2logSegm
+      PROCEDURE, PASS::   neighbourElement    => neighbourElementSegm
+      !PARTICLUAR PROCEDURES
+      PROCEDURE, PASS, PRIVATE:: area => areaSegm
 
   END TYPE meshCell1DCartSegm
 
@@ -219,7 +205,19 @@ MODULE moduleMesh1DCart
 
     END SUBROUTINE initCell1DCartSegm
 
-    !Calculates a random position in 1D volume
+    !Get nodes from 1D volume
+    PURE FUNCTION getNodesSegm(self, nNodes) RESULT(n)
+      IMPLICIT NONE
+
+      CLASS(meshCell1DCartSegm), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
+
+      n = (/ self%n1%n, self%n2%n /)
+
+    END FUNCTION getNodesSegm
+
+    !Random position in 1D volume
     FUNCTION randPos1DCartSegm(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
@@ -227,135 +225,63 @@ MODULE moduleMesh1DCart
       CLASS(meshCell1DCartSegm), INTENT(in):: self
       REAL(8):: r(1:3)
       REAL(8):: Xi(1:3)
-      REAL(8), ALLOCATABLE:: fPsi(:)
+      REAL(8):: fPsi(1:2)
 
-      Xi(1)   = random(-1.D0, 1.D0)
-      Xi(2:3) = 0.D0
+      Xi    = 0.D0
+      Xi(1) = random(-1.D0, 1.D0)
 
       fPsi = self%fPsi(Xi, 2)
+
+      r    = 0.D0
       r(1) = DOT_PRODUCT(fPsi, self%x)
 
     END FUNCTION randPos1DCartSegm
 
-    !Computes element area
-    PURE SUBROUTINE areaSegm(self)
-      IMPLICIT NONE
-
-      CLASS(meshCell1DCartSegm), INTENT(inout):: self
-      REAL(8):: l !element length
-      REAL(8):: fPsi(1:2)
-      REAL(8):: detJ
-      REAL(8):: Xi(1:3)
-
-      self%volume  = 0.D0
-      self%arNodes = 0.D0
-      !1 point Gauss integral
-      Xi = 0.D0
-      fPsi = self%fPsi(Xi, 2)
-      detJ = self%detJac(Xi, 2)
-      l = 2.D0*detJ
-      self%volume  =      l
-      self%arNodes = fPsi*l
-
-    END SUBROUTINE areaSegm
-
     !Computes element functions at point Xi
-    PURE FUNCTION fPsiSegm(self, Xi, nNodes) RESULT(fPsi)
+    PURE FUNCTION fPsiSegm(Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
-      CLASS(meshCell1DCartSegm), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
       REAL(8):: fPsi(1:nNodes)
 
-      fPsi(1) = 1.D0 - Xi(1)
-      fPsi(2) = 1.D0 + Xi(1)
+      fPsi = (/ 1.D0 - Xi(1), &
+                1.D0 + Xi(1) /)
 
-      fPsi    = fPsi * 5.D-1
+      fPsi    = fPsi * 0.50D0
 
     END FUNCTION fPsiSegm
 
-    !Computes element derivative shape function at Xi
-    PURE FUNCTION dPsiSegm(self, Xi, nNodes) RESULT(dPsi)
+    !Derivative element function at coordinates Xi
+    PURE FUNCTION dPsiSegm(Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
-      CLASS(meshCell1DCartSegm), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
       REAL(8):: dPsi(1:3,1:nNodes)
 
       dPsi = 0.D0
 
-      dPsi(1, 1) = -5.D-1
-      dPsi(1, 2) =  5.D-1
+      dPsi(1, 1:2) = (/ -5.D-1, 5.D-1 /)
 
     END FUNCTION dPsiSegm
 
-    !Computes partial derivatives of coordinates
-    PURE SUBROUTINE partialDerSegm(self, nNodes, dPsi, dx)
+    !Partial derivative in global coordinates
+    PURE FUNCTION partialDerSegm(self, nNodes, dPsi) RESULT(pDer)
       IMPLICIT NONE
 
       CLASS(meshCell1DCartSegm), INTENT(in):: self
       INTEGER, INTENT(in):: nNodes
       REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
-      REAL(8), INTENT(out), DIMENSION(1):: dx
+      REAL(8):: pDer(1:3, 1:3)
 
-      dx(1) = DOT_PRODUCT(dPsi(1,:), self%x)
+      pDer = 0.D0
 
-    END SUBROUTINE partialDerSegm
+      pDer(1,1) = DOT_PRODUCT(dPsi(1,1:2), self%x(1:2))
+      pDer(2,2) = 1.D0
+      pDer(3,3) = 1.D0
 
-    !Computes local stiffness matrix
-    PURE FUNCTION elemKSegm(self, nNodes) RESULT(localK)
-      IMPLICIT NONE
-
-      CLASS(meshCell1DCartSegm), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8):: localK(1:nNodes,1:nNodes)
-      REAL(8):: Xi(1:3)
-      REAL(8):: dPsi(1:3, 1:2)
-      REAL(8):: invJ(1:3,1:3), detJ
-      INTEGER:: l
-
-      localK      = 0.D0
-      Xi     = 0.D0
-      DO l = 1, 3
-        Xi(1) = corSeg(l)
-        dPsi    = self%dPsi(Xi, 2)
-        detJ    = self%detJac(Xi, 2, dPsi)
-        invJ    = self%invJac(Xi, 2, dPsi)
-        localK  = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
-                                  RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
-                           wSeg(l)/detJ
-
-      END DO
-
-    END FUNCTION elemKSegm
-
-    PURE FUNCTION elemFSegm(self, nNodes, source) RESULT(localF)
-      IMPLICIT NONE
-
-      CLASS(meshCell1DCartSegm), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in):: source(1:nNodes)
-      REAL(8):: localF(1:nNodes)
-      REAL(8):: fPsi(1:2)
-      REAL(8):: detJ, f
-      REAL(8):: Xi(1:3)
-      INTEGER:: l
-
-      localF = 0.D0
-      Xi    = 0.D0
-
-      DO l = 1, 3
-        Xi(1) = corSeg(l)
-        detJ   = self%detJac(Xi, 2)
-        fPsi = self%fPsi(Xi, 2)
-        f      = DOT_PRODUCT(fPsi, source)
-        localF = localF + f*fPsi*wSeg(l)*detJ
-
-      END DO
-
-    END FUNCTION elemFSegm
+    END FUNCTION partialDerSegm
 
     PURE FUNCTION gatherEFSegm(self, Xi) RESULT(array)
       IMPLICIT NONE
@@ -391,6 +317,68 @@ MODULE moduleMesh1DCart
 
     END FUNCTION gatherMFSegm
 
+    !Computes element local stiffness matrix
+    PURE FUNCTION elemKSegm(self, nNodes) RESULT(localK)
+      IMPLICIT NONE
+
+      CLASS(meshCell1DCartSegm), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
+      REAL(8):: Xi(1:3)
+      REAL(8):: dPsi(1:3, 1:2)
+      REAL(8):: pDer(1:3, 1:3)
+      REAL(8):: invJ(1:3,1:3), detJ
+      INTEGER:: l
+
+      localK = 0.D0
+
+      Xi = 0.D0
+      !Start 1D Gauss Quad Integral
+      DO l = 1, 3
+        Xi(1)  = corSeg(l)
+        dPsi   = self%dPsi(Xi, 2)
+        pDer   = self%partialDer(2, dPsi)
+        detJ   = self%detJac(pDer)
+        invJ   = self%invJac(pDer)
+        localK = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
+                                 RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
+                          wSeg(l)/detJ
+
+      END DO
+
+    END FUNCTION elemKSegm
+
+    !Computes the local source vector for a force f
+    PURE FUNCTION elemFSegm(self, nNodes, source) RESULT(localF)
+      IMPLICIT NONE
+
+      CLASS(meshCell1DCartSegm), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
+      REAL(8):: fPsi(1:2)
+      REAL(8):: dPsi(1:3, 1:2), pDer(1:3, 1:3)
+      REAL(8):: Xi(1:3)
+      REAL(8):: detJ, f
+      INTEGER:: l
+
+      localF = 0.D0
+
+      Xi = 0.D0
+      !Start 1D Gauss Quad Integral
+      DO l = 1, 3
+        Xi(1) = corSeg(l)
+        dPsi   = self%dPsi(Xi, 2)
+        pDer   = self%partialDer(2, dPsi)
+        detJ   = self%detJac(pDer)
+        fPsi   = self%fPsi(Xi, 2)
+        f      = DOT_PRODUCT(fPsi, source)
+        localF = localF + f*fPsi*wSeg(l)*detJ
+
+      END DO
+
+    END FUNCTION elemFSegm
+
     PURE FUNCTION insideSegm(Xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -402,101 +390,87 @@ MODULE moduleMesh1DCart
 
     END FUNCTION insideSegm
 
-    !Get nodes from 1D volume
-    PURE FUNCTION getNodesSegm(self, nNodes) RESULT(n)
-      IMPLICIT NONE
-
-      CLASS(meshCell1DCartSegm), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      INTEGER:: n(1:nNodes)
-
-      n = (/ self%n1%n, self%n2%n /)
-
-    END FUNCTION getNodesSegm
-
-    PURE FUNCTION phy2logSegm(self, r) RESULT(xN)
+    PURE FUNCTION phy2logSegm(self, r) RESULT(Xi)
       IMPLICIT NONE
 
       CLASS(meshCell1DCartSegm), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
-      REAL(8):: xN(1:3)
+      REAL(8):: Xi(1:3)
 
-      xN = 0.D0
-      xN(1) = 2.D0*(r(1) - self%x(1))/(self%x(2) - self%x(1)) - 1.D0
+      Xi = 0.D0
+
+      Xi(1) = 2.D0*(r(1) - self%x(1))/(self%x(2) - self%x(1)) - 1.D0
 
     END FUNCTION phy2logSegm
 
-    !Get next element for a logical position Xi
-    SUBROUTINE nextElementSegm(self, Xi, nextElement)
+    !Get the next element for a logical position Xi
+    SUBROUTINE neighbourElementSegm(self, Xi, neighbourElement)
       IMPLICIT NONE
 
       CLASS(meshCell1DCartSegm), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      CLASS(meshElement), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: neighbourElement
       
-      NULLIFY(nextElement)
+      NULLIFY(neighbourElement)
       IF     (Xi(1) < -1.D0) THEN
-        nextElement => self%e2
+        neighbourElement => self%e2
 
       ELSEIF (Xi(1) >  1.D0) THEN
-        nextElement => self%e1
+        neighbourElement => self%e1
 
       END IF
 
-    END SUBROUTINE nextElementSegm
+    END SUBROUTINE neighbourElementSegm
 
-    !COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
-    !Calculates a random position in 1D volume
-    !Computes the element Jacobian determinant
-    PURE FUNCTION detJ1DCart(self, Xi, nNodes, dPsi_in) RESULT(dJ)
+    !Computes element area
+    PURE SUBROUTINE areaSegm(self)
       IMPLICIT NONE
 
-      CLASS(meshCell1DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
-      REAL(8):: dPsi(1:3,1:nNodes)
+      CLASS(meshCell1DCartSegm), INTENT(inout):: self
+      REAL(8):: Xi(1:3)
+      REAL(8):: dPsi(1:3, 1:2), pDer(1:3, 1:3)
+      REAL(8):: detJ
+      REAL(8):: fPsi(1:2)
+
+      self%volume  = 0.D0
+      self%arNodes = 0.D0
+      !1D 1 point Gauss Quad Integral
+      Xi = 0.D0
+      dPsi = self%dPsi(Xi, 2)
+      pDer = self%partialDer(2, dPsi)
+      detJ = self%detJac(pDer)
+      fPsi = self%fPsi(Xi, 2)
+      !Computes total volume of the cell
+      self%volume  = detJ*2.D0
+      !Computes volume per node
+      self%arNodes = fPsi*self%volume
+
+    END SUBROUTINE areaSegm
+
+    !COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
+    !Computes element Jacobian determinant
+    PURE FUNCTION detJ1DCart(pDer) RESULT(dJ)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: pDer(1:3, 1:3)
       REAL(8):: dJ
-      REAL(8):: dx(1)
 
-      IF (PRESENT(dPsi_in)) THEN
-        dPsi = dPsi_in
-
-      ELSE
-        dPsi = self%dPsi(Xi, 2)
-
-      END IF
-
-      CALL self%partialDer(2, dPsi, dx)
-      dJ = dx(1)
+      dJ = pDer(1, 1)
 
     END FUNCTION detJ1DCart
 
-    !Computes the invers Jacobian
-    PURE FUNCTION invJ1DCart(self, Xi, nNodes, dPsi_in) RESULT(invJ)
+    !Computes element Jacobian inverse matrix (without determinant)
+    PURE FUNCTION invJ1DCart(pDer) RESULT(invJ)
       IMPLICIT NONE
 
-      CLASS(meshCell1DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
+      REAL(8), INTENT(in):: pDer(1:3, 1:3)
       REAL(8):: invJ(1:3,1:3)
-      REAL(8):: dPsi(1:3,1:nNodes)
-      REAL(8):: dx(1)
-
-      IF (PRESENT(dPsi_in)) THEN
-        dPsi = dPsi_in
-
-      ELSE
-        dPsi = self%dPsi(Xi, 2)
-
-      END IF
 
       invJ = 0.D0
 
-      CALL self%partialDer(2, dPsi, dx)
-
-      invJ(1,1) = 1.D0/dx(1)
+      invJ(1, 1) = 1.D0/pDer(1, 1)
+      invJ(2, 2) = 1.D0
+      invJ(3, 3) = 1.D0
 
     END FUNCTION invJ1DCart
 
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 8b441be..8230901 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -8,13 +8,14 @@ MODULE moduleMesh1DRad
   IMPLICIT NONE
 
   REAL(8), PARAMETER:: corSeg(1:3) = (/ -DSQRT(3.D0/5.D0), 0.D0,       DSQRT(3.D0/5.D0) /)
-  REAL(8), PARAMETER:: wSeg(1:3)  = (/        5.D0/9.D0 , 8.D0/9.D0,        5.D0/9.D0  /)
+  REAL(8), PARAMETER:: wSeg(1:3)   = (/        5.D0/9.D0 , 8.D0/9.D0,        5.D0/9.D0  /)
 
   TYPE, PUBLIC, EXTENDS(meshNode):: meshNode1DRad
     !Element coordinates
     REAL(8):: r = 0.D0
     CONTAINS
-      PROCEDURE, PASS:: init => initNode1DRad
+      !meshNode DEFERRED PROCEDURES
+      PROCEDURE, PASS:: init           => initNode1DRad
       PROCEDURE, PASS:: getCoordinates => getCoord1DRad
 
   END TYPE meshNode1DRad
@@ -25,6 +26,7 @@ MODULE moduleMesh1DRad
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL()
     CONTAINS
+      !meshEdge DEFERRED PROCEDURES
       PROCEDURE, PASS:: init         => initEdge1DRad
       PROCEDURE, PASS:: getNodes     => getNodes1DRad
       PROCEDURE, PASS:: intersection => intersection1DRad
@@ -32,28 +34,7 @@ MODULE moduleMesh1DRad
 
   END TYPE meshEdge1DRad
 
-  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshCell):: meshCell1DRad
-    CONTAINS
-      PROCEDURE, PASS:: detJac => detJ1DRad
-      PROCEDURE, PASS:: invJac => invJ1DRad
-      PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
-  
-  END TYPE meshCell1DRad
-
-  ABSTRACT INTERFACE
-    PURE SUBROUTINE partialDer_interface(self, nNodes, dPsi, dx)
-      IMPORT meshCell1DRad
-
-      CLASS(meshCell1DRad), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
-      REAL(8), INTENT(out), DIMENSION(1):: dx
-
-    END SUBROUTINE partialDer_interface
-
-  END INTERFACE
-
-  TYPE, PUBLIC, EXTENDS(meshCell1DRad):: meshCell1DRadSegm
+  TYPE, PUBLIC, EXTENDS(meshCell):: meshCell1DRadSegm
     !Element coordinates
     REAL(8):: r(1:2)
     !Connectivity to nodes
@@ -62,20 +43,24 @@ MODULE moduleMesh1DRad
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL()
     REAL(8):: arNodes(1:2)
     CONTAINS
-      PROCEDURE, PASS::   init        => initCell1DRadSegm
-      PROCEDURE, PASS::   randPos     => randPos1DRadSeg
-      PROCEDURE, PASS::   area        => areaRad
-      PROCEDURE, PASS:: fPsi        => fPsiRad
-      PROCEDURE, PASS:: dPsi        => dPsiRad
-      PROCEDURE, PASS::   partialDer  => partialDerRad
-      PROCEDURE, PASS::   elemK       => elemKRad
-      PROCEDURE, PASS::   elemF       => elemFRad
-      PROCEDURE, PASS:: gatherElectricField => gatherEFRad
-      PROCEDURE, PASS:: gatherMagneticField => gatherMFRad
-      PROCEDURE, NOPASS:: inside      => insideRad
-      PROCEDURE, PASS::   getNodes    => getNodesRad
-      PROCEDURE, PASS::   phy2log     => phy2logRad
-      PROCEDURE, PASS::   nextElement => nextElementRad
+      !meshCell DEFERRED PROCEDURES
+      PROCEDURE, PASS::   init                => initCell1DRadSegm
+      PROCEDURE, PASS::   getNodes            => getNodesSegm
+      PROCEDURE, PASS::   randPos             => randPos1DRadSegm
+      PROCEDURE, NOPASS:: fPsi                => fPsiSegm
+      PROCEDURE, NOPASS:: dPsi                => dPsiSegm
+      PROCEDURE, PASS::   partialDer          => partialDerSegm
+      PROCEDURE, NOPASS:: detJac              => detJ1DRad
+      PROCEDURE, NOPASS:: invJac              => invJ1DRad
+      PROCEDURE, PASS::   gatherElectricField => gatherEFSegm
+      PROCEDURE, PASS::   gatherMagneticField => gatherMFSegm
+      PROCEDURE, PASS::   elemK               => elemKSegm
+      PROCEDURE, PASS::   elemF               => elemFSegm
+      PROCEDURE, NOPASS:: inside              => insideSegm
+      PROCEDURE, PASS::   phy2log             => phy2logSegm
+      PROCEDURE, PASS::   neighbourElement    => neighbourElementSegm
+      !PARTICLUAR PROCEDURES
+      PROCEDURE, PASS, PRIVATE:: area => areaSegm
 
   END TYPE meshCell1DRadSegm
 
@@ -139,7 +124,6 @@ MODULE moduleMesh1DRad
       self%r = r1(1)
 
       self%normal = (/ 1.D0, 0.D0, 0.D0 /)
-      self%normal = self%normal/NORM2(self%normal)
 
       !Boundary index
       self%boundary => boundary(bt)
@@ -221,8 +205,20 @@ MODULE moduleMesh1DRad
 
     END SUBROUTINE initCell1DRadSegm
 
-    !Calculates a random position in 1D volume
-    FUNCTION randPos1DRadSeg(self) RESULT(r)
+    !Get nodes from 1D volume
+    PURE FUNCTION getNodesSegm(self, nNodes) RESULT(n)
+      IMPLICIT NONE
+
+      CLASS(meshCell1DRadSegm), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
+
+      n = (/ self%n1%n, self%n2%n /)
+
+    END FUNCTION getNodesSegm
+
+    !Random position in 1D volume
+    FUNCTION randPos1DRadSegm(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
 
@@ -231,152 +227,63 @@ MODULE moduleMesh1DRad
       REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:2)
 
-      Xi(1)   = random(-1.D0, 1.D0)
-      Xi(2:3) = 0.D0
+      Xi    = 0.D0
+      Xi(1) = random(-1.D0, 1.D0)
 
       fPsi = self%fPsi(Xi, 2)
+
+      r    = 0.D0
       r(1) = DOT_PRODUCT(fPsi, self%r)
 
-    END FUNCTION randPos1DRadSeg
-
-    !Computes element area
-    PURE SUBROUTINE areaRad(self)
-      IMPLICIT NONE
-
-      CLASS(meshCell1DRadSegm), INTENT(inout):: self
-      REAL(8):: l !element length
-      REAL(8):: fPsi(1:2), fPsi_node(1:2)
-      REAL(8):: r
-      REAL(8):: detJ
-      REAL(8):: Xi(1:3)
-
-      self%volume  = 0.D0
-      self%arNodes = 0.D0
-      !1 point Gauss integral
-      Xi = 0.D0
-      fPsi = self%fPsi(Xi, 2)
-      detJ = self%detJac(Xi, 2)
-      !Computes total volume of the cell
-      r    = DOT_PRODUCT(fPsi, self%r)
-      l = 2.D0*detJ
-      self%volume  = r*l
-      !Computes volume per node
-      Xi = (/-5.D-1,  0.D0, 0.D0/)
-      r = self%gatherF(Xi, 2, self%r)
-      self%arNodes(1) = fPsi(1)*r*l
-      Xi = (/ 5.D-1,  0.D0, 0.D0/)
-      r = self%gatherF(Xi, 2, self%r)
-      self%arNodes(2) = fPsi(2)*r*l
-
-    END SUBROUTINE areaRad
+    END FUNCTION randPos1DRadSegm
 
     !Computes element functions at point Xi
-    PURE FUNCTION fPsiRad(self, Xi, nNodes) RESULT(fPsi)
+    PURE FUNCTION fPsiSegm(Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
-      CLASS(meshCell1DRadSegm), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
       REAL(8):: fPsi(1:nNodes)
 
-      fPsi(1) = 1.D0 - Xi(1)
-      fPsi(2) = 1.D0 + Xi(1)
+      fPsi = (/ 1.D0 - Xi(1), &
+                1.D0 + Xi(1) /)
 
-      fPsi    = fPsi * 5.D-1
+      fPsi    = fPsi * 0.50D0
 
-    END FUNCTION fPsiRad
+    END FUNCTION fPsiSegm
 
-    !Computes element derivative shape function at Xi
-    PURE FUNCTION dPsiRad(self, Xi, nNodes) RESULT(dPsi)
+    !Derivative element function at coordinates Xi
+    PURE FUNCTION dPsiSegm(Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
-      CLASS(meshCell1DRadSegm), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
       REAL(8):: dPsi(1:3,1:nNodes)
 
       dPsi = 0.D0
 
-      dPsi(1, 1) = -5.D-1
-      dPsi(1, 2) =  5.D-1
+      dPsi(1, 1:2) = (/ -5.D-1, 5.D-1 /)
 
-    END FUNCTION dPsiRad
+    END FUNCTION dPsiSegm
 
-    !Computes partial derivatives of coordinates
-    PURE SUBROUTINE partialDerRad(self, nNodes, dPsi, dx)
+    !Partial derivative in global coordinates
+    PURE FUNCTION partialDerSegm(self, nNodes, dPsi) RESULT(pDer)
       IMPLICIT NONE
 
       CLASS(meshCell1DRadSegm), INTENT(in):: self
       INTEGER, INTENT(in):: nNodes
       REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
-      REAL(8), INTENT(out), DIMENSION(1):: dx
+      REAL(8):: pDer(1:3, 1:3)
 
-      dx(1) = DOT_PRODUCT(dPsi(1,:), self%r)
+      pDer = 0.D0
 
-    END SUBROUTINE partialDerRad
+      pDer(1,1) = DOT_PRODUCT(dPsi(1,1:2), self%r(1:2))
+      pDer(2,2) = 1.D0
+      pDer(3,3) = 1.D0
 
-    !Computes local stiffness matrix
-    PURE FUNCTION elemKRad(self, nNodes) RESULT(localK)
-      USE moduleConstParam, ONLY: PI2
-      IMPLICIT NONE
+    END FUNCTION partialDerSegm
 
-      CLASS(meshCell1DRadSegm), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8):: localK(1:nNodes,1:nNodes)
-      REAL(8):: Xi(1:3)
-      REAL(8):: dPsi(1:3, 1:2)
-      REAL(8):: invJ(1:3,1:3), detJ
-      REAL(8):: r, fPsi(1:2)
-      INTEGER:: l
-
-      localK  = 0.D0
-      Xi     = 0.D0
-      DO l = 1, 3
-        Xi(1)  = corSeg(l)
-        dPsi   = self%dPsi(Xi, 2)
-        detJ   = self%detJac(Xi, 2, dPsi)
-        invJ   = self%invJac(Xi, 2, dPsi)
-        fPsi   = self%fPsi(Xi, 2)
-        r      = DOT_PRODUCT(fPsi, self%r)
-        localK = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
-                                 RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
-                          r*wSeg(l)/detJ
-
-      END DO
-
-      localK = localK*PI2
-
-    END FUNCTION elemKRad
-
-    PURE FUNCTION elemFRad(self, nNodes, source) RESULT(localF)
-      USE moduleConstParam, ONLY: PI2
-      IMPLICIT NONE
-
-      CLASS(meshCell1DRadSegm), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in):: source(1:nNodes)
-      REAL(8):: localF(1:nNodes)
-      REAL(8):: fPsi(1:2)
-      REAL(8):: detJ, f, r
-      REAL(8):: Xi(1:3)
-      INTEGER:: l
-
-      localF = 0.D0
-      Xi    = 0.D0
-
-      DO l = 1, 3
-        Xi(1) = corSeg(l)
-        detJ   = self%detJac(Xi, 2)
-        fPsi   = self%fPsi(Xi, 2)
-        r      = DOT_PRODUCT(fPsi, self%r)
-        f      = DOT_PRODUCT(fPsi, source)
-        localF = localF + f*fPsi*r*wSeg(l)*detJ
-
-      END DO
-
-    END FUNCTION elemFRad
-
-    PURE FUNCTION gatherEFRad(self, Xi) RESULT(array)
+    PURE FUNCTION gatherEFSegm(self, Xi) RESULT(array)
       IMPLICIT NONE
       CLASS(meshCell1DRadSegm), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
@@ -388,9 +295,9 @@ MODULE moduleMesh1DRad
 
       array = -self%gatherDF(Xi, 2, phi)
 
-    END FUNCTION gatherEFRad
+    END FUNCTION gatherEFSegm
 
-    PURE FUNCTION gatherMFRad(self, Xi) RESULT(array)
+    PURE FUNCTION gatherMFSegm(self, Xi) RESULT(array)
       IMPLICIT NONE
       CLASS(meshCell1DRadSegm), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
@@ -408,9 +315,79 @@ MODULE moduleMesh1DRad
 
       array = self%gatherF(Xi, 2, B)
 
-    END FUNCTION gatherMFRad
+    END FUNCTION gatherMFSegm
 
-    PURE FUNCTION insideRad(Xi) RESULT(ins)
+    !Computes element local stiffness matrix
+    PURE FUNCTION elemKSegm(self, nNodes) RESULT(localK)
+      USE moduleConstParam, ONLY: PI2
+      IMPLICIT NONE
+
+      CLASS(meshCell1DRadSegm), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
+      REAL(8):: Xi(1:3)
+      REAL(8):: dPsi(1:3, 1:2)
+      REAL(8):: pDer(1:3, 1:3)
+      REAL(8):: r
+      REAL(8):: invJ(1:3,1:3), detJ
+      INTEGER:: l
+
+      localK = 0.D0
+
+      Xi = 0.D0
+      !Start 1D Gauss Quad Integral
+      DO l = 1, 3
+        Xi(1)  = corSeg(l)
+        dPsi   = self%dPsi(Xi, 2)
+        pDer   = self%partialDer(2, dPsi)
+        detJ   = self%detJac(pDer)
+        invJ   = self%invJac(pDer)
+        r      = self%gatherF(Xi, 4, self%r)
+        localK = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
+                                 RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
+                          r*wSeg(l)/detJ
+
+      END DO
+      localK = localK*PI2
+
+    END FUNCTION elemKSegm
+
+    !Computes the local source vector for a force f
+    PURE FUNCTION elemFSegm(self, nNodes, source) RESULT(localF)
+      USE moduleConstParam, ONLY: PI2
+      IMPLICIT NONE
+
+      CLASS(meshCell1DRadSegm), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
+      REAL(8):: fPsi(1:2)
+      REAL(8):: dPsi(1:3, 1:2), pDer(1:3, 1:3)
+      REAL(8):: Xi(1:3)
+      REAL(8):: detJ, f
+      REAL(8):: r
+      INTEGER:: l
+
+      localF = 0.D0
+
+      Xi = 0.D0
+      !Start 1D Gauss Quad Integral
+      DO l = 1, 3
+        Xi(1) = corSeg(l)
+        dPsi   = self%dPsi(Xi, 2)
+        pDer   = self%partialDer(2, dPsi)
+        detJ   = self%detJac(pDer)
+        fPsi   = self%fPsi(Xi, 2)
+        r      = DOT_PRODUCT(fPsi, self%r)
+        f      = DOT_PRODUCT(fPsi, source)
+        localF = localF + r*f*fPsi*wSeg(l)*detJ
+
+      END DO
+      localF = localF*PI2
+
+    END FUNCTION elemFSegm
+
+    PURE FUNCTION insideSegm(Xi) RESULT(ins)
       IMPLICIT NONE
 
       REAL(8), INTENT(in):: Xi(1:3)
@@ -419,102 +396,97 @@ MODULE moduleMesh1DRad
       ins = Xi(1) >=-1.D0 .AND. &
             Xi(1) <= 1.D0
 
-    END FUNCTION insideRad
+    END FUNCTION insideSegm
 
-    !Get nodes from 1D volume
-    PURE FUNCTION getNodesRad(self, nNodes) RESULT(n)
-      IMPLICIT NONE
-
-      CLASS(meshCell1DRadSegm), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      INTEGER:: n(1:nNodes)
-
-      n = (/ self%n1%n, self%n2%n /)
-
-    END FUNCTION getNodesRad
-
-    PURE FUNCTION phy2logRad(self, r) RESULT(xN)
+    PURE FUNCTION phy2logSegm(self, r) RESULT(Xi)
       IMPLICIT NONE
 
       CLASS(meshCell1DRadSegm), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
-      REAL(8):: xN(1:3)
+      REAL(8):: Xi(1:3)
 
-      xN = 0.D0
-      xN(1) = 2.D0*(r(1) - self%r(1))/(self%r(2) - self%r(1)) - 1.D0
+      Xi = 0.D0
 
-    END FUNCTION phy2logRad
+      Xi(1) = 2.D0*(r(1) - self%r(1))/(self%r(2) - self%r(1)) - 1.D0
 
-    !Get next element for a logical position Xi
-    SUBROUTINE nextElementRad(self, Xi, nextElement)
+    END FUNCTION phy2logSegm
+
+    !Get the next element for a logical position Xi
+    SUBROUTINE neighbourElementSegm(self, Xi, neighbourElement)
       IMPLICIT NONE
 
       CLASS(meshCell1DRadSegm), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      CLASS(meshElement), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: neighbourElement
       
-      NULLIFY(nextElement)
+      NULLIFY(neighbourElement)
       IF     (Xi(1) < -1.D0) THEN
-        nextElement => self%e2
+        neighbourElement => self%e2
 
       ELSEIF (Xi(1) >  1.D0) THEN
-        nextElement => self%e1
+        neighbourElement => self%e1
 
       END IF
 
-    END SUBROUTINE nextElementRad
+    END SUBROUTINE neighbourElementSegm
 
-    !COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
-    !Computes the element Jacobian determinant
-    PURE FUNCTION detJ1DRad(self, Xi, nNodes, dPsi_in) RESULT(dJ)
+    !Computes element area
+    PURE SUBROUTINE areaSegm(self)
+      USE moduleConstParam, ONLY: PI
       IMPLICIT NONE
 
-      CLASS(meshCell1DRad), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
-      REAL(8):: dPsi(1:3,1:nNodes)
+      CLASS(meshCell1DRadSegm), INTENT(inout):: self
+      REAL(8):: Xi(1:3)
+      REAL(8):: dPsi(1:3, 1:2), pDer(1:3, 1:3)
+      REAL(8):: detJ
+      REAL(8):: fPsi(1:2)
+      REAL(8):: r
+
+      self%volume  = 0.D0
+      self%arNodes = 0.D0
+      !1D 1 point Gauss Quad Integral
+      Xi = 0.D0
+      dPsi = self%dPsi(Xi, 2)
+      pDer = self%partialDer(2, dPsi)
+      detJ = self%detJac(pDer)
+      fPsi = self%fPsi(Xi, 2)
+      !Computes total volume of the cell
+      r = DOT_PRODUCT(fPsi, self%r)
+      self%volume  = r*detJ*2.D0*PI !2PI
+      !Computes volume per node
+      Xi = (/-5.D-1,  0.D0, 0.D0/)
+      r = self%gatherF(Xi, 2, self%r)
+      self%arNodes(1) = fPsi(1)*self%volume
+      Xi = (/ 5.D-1,  0.D0, 0.D0/)
+      r = self%gatherF(Xi, 2, self%r)
+      self%arNodes(2) = fPsi(2)*self%volume
+
+    END SUBROUTINE areaSegm
+
+    !COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
+    !Computes element Jacobian determinant
+    PURE FUNCTION detJ1DRad(pDer) RESULT(dJ)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: pDer(1:3, 1:3)
       REAL(8):: dJ
-      REAL(8):: dx(1)
 
-      IF (PRESENT(dPsi_in)) THEN
-        dPsi = dPsi_in
-
-      ELSE
-        dPsi = self%dPsi(Xi, 2)
-
-      END IF
-
-      CALL self%partialDer(nNodes, dPsi, dx)
-      dJ = dx(1)
+      dJ = pDer(1, 1)
 
     END FUNCTION detJ1DRad
 
-    !Computes the invers Jacobian
-    PURE FUNCTION invJ1DRad(self, Xi, nNodes, dPsi_in) RESULT(invJ)
+    !Computes element Jacobian inverse matrix (without determinant)
+    PURE FUNCTION invJ1DRad(pDer) RESULT(invJ)
       IMPLICIT NONE
 
-      CLASS(meshCell1DRad), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
-      REAL(8):: dPsi(1:3,1:nNodes)
-      REAL(8):: dx(1)
+      REAL(8), INTENT(in):: pDer(1:3, 1:3)
       REAL(8):: invJ(1:3,1:3)
 
-      IF (PRESENT(dPsi_in)) THEN
-        dPsi = dPsi_in
-
-      ELSE
-        dPsi = self%dPsi(Xi, 2)
-
-      END IF
-
       invJ = 0.D0
 
-      CALL self%partialDer(nNodes, dPsi, dx)
-
-      invJ(1,1) = 1.D0/dx(1)
+      invJ(1, 1) = 1.D0/pDer(1, 1)
+      invJ(2, 2) = 1.D0
+      invJ(3, 3) = 1.D0
 
     END FUNCTION invJ1DRad
 
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 2ccde7d..eab1266 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -19,7 +19,8 @@ MODULE moduleMesh2DCart
     !Element coordinates
     REAL(8):: x = 0.D0, y = 0.D0
     CONTAINS
-      PROCEDURE, PASS:: init => initNode2DCart
+      !meshNode DEFERRED PROCEDURES
+      PROCEDURE, PASS:: init           => initNode2DCart
       PROCEDURE, PASS:: getCoordinates => getCoord2DCart
 
   END TYPE meshNode2DCart
@@ -30,35 +31,16 @@ MODULE moduleMesh2DCart
     !Connectivity to nodes
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL()
     CONTAINS
-      PROCEDURE, PASS:: init     => initEdge2DCart
-      PROCEDURE, PASS:: getNodes => getNodes2DCart
+      !meshEdge DEFERRED PROCEDURES
+      PROCEDURE, PASS:: init         => initEdge2DCart
+      PROCEDURE, PASS:: getNodes     => getNodes2DCart
       PROCEDURE, PASS:: intersection => intersection2DCartEdge
-      PROCEDURE, PASS:: randPos  => randPosEdge
+      PROCEDURE, PASS:: randPos      => randPosEdge
 
   END TYPE meshEdge2DCart
 
-  TYPE, PUBLIC, ABSTRACT, EXTENDS(meshCell):: meshCell2DCart
-    CONTAINS
-      PROCEDURE, PASS:: detJac    => detJ2DCart
-      PROCEDURE, PASS:: invJac    => invJ2DCart
-      PROCEDURE(partialDer_interface), DEFERRED, PASS, PRIVATE:: partialDer
-
-  END TYPE meshCell2DCart
-
-  ABSTRACT INTERFACE
-    PURE SUBROUTINE partialDer_interface(self, nNodes, dPsi, dx, dy)
-      IMPORT meshCell2DCart
-      CLASS(meshCell2DCart), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
-      REAL(8), INTENT(out), DIMENSION(1:2):: dx, dy
-
-    END SUBROUTINE partialDer_interface
-
-  END INTERFACE
-
   !Quadrilateral volume element
-  TYPE, PUBLIC, EXTENDS(meshCell2DCart):: meshCell2DCartQuad
+  TYPE, PUBLIC, EXTENDS(meshCell):: meshCell2DCartQuad
     !Element coordinates
     REAL(8):: x(1:4) = 0.D0, y(1:4) = 0.D0
     !Connectivity to nodes
@@ -68,25 +50,29 @@ MODULE moduleMesh2DCart
     REAL(8):: arNodes(1:4) = 0.D0
 
     CONTAINS
-      PROCEDURE, PASS::   init        => initCellQuad2DCart
-      PROCEDURE, PASS::   randPos     => randPosCellQuad
-      PROCEDURE, PASS::   area        => areaQuad
-      PROCEDURE, PASS::   fPsi        => fPsiQuad
-      PROCEDURE, PASS::   dPsi        => dPsiQuad
-      PROCEDURE, PASS, PRIVATE::   partialDer  => partialDerQuad
-      PROCEDURE, PASS::   elemK       => elemKQuad
-      PROCEDURE, PASS::   elemF       => elemFQuad
-      PROCEDURE, PASS:: gatherElectricField => gatherEFQuad
-      PROCEDURE, PASS:: gatherMagneticField => gatherMFQuad
-      PROCEDURE, NOPASS:: inside      => insideQuad
-      PROCEDURE, PASS::   getNodes    => getNodesQuad
-      PROCEDURE, PASS::   phy2log     => phy2logQuad
-      PROCEDURE, PASS::   nextElement => nextElementQuad
+      !meshCell DEFERRED PROCEDURES
+      PROCEDURE, PASS::   init                => initCellQuad2DCart
+      PROCEDURE, PASS::   getNodes            => getNodesQuad
+      PROCEDURE, PASS::   randPos             => randPosCellQuad
+      PROCEDURE, NOPASS:: fPsi                => fPsiQuad
+      PROCEDURE, NOPASS:: dPsi                => dPsiQuad
+      PROCEDURE, PASS::   partialDer          => partialDerQuad
+      PROCEDURE, NOPASS:: detJac              => detJ2DCart
+      PROCEDURE, NOPASS:: invJac              => invJ2DCart
+      PROCEDURE, PASS::   gatherElectricField => gatherEFQuad
+      PROCEDURE, PASS::   gatherMagneticField => gatherMFQuad
+      PROCEDURE, PASS::   elemK               => elemKQuad
+      PROCEDURE, PASS::   elemF               => elemFQuad
+      PROCEDURE, NOPASS:: inside              => insideQuad
+      PROCEDURE, PASS::   phy2log             => phy2logQuad
+      PROCEDURE, PASS::   neighbourElement    => neighbourElementQuad
+      !PARTICLUAR PROCEDURES
+      PROCEDURE, PASS, PRIVATE:: area => areaQuad
 
   END TYPE meshCell2DCartQuad
 
   !Triangular volume element
-  TYPE, PUBLIC, EXTENDS(meshCell2DCart):: meshCell2DCartTria
+  TYPE, PUBLIC, EXTENDS(meshCell):: meshCell2DCartTria
     !Element coordinates
     REAL(8):: x(1:3) = 0.D0, y(1:3) = 0.D0
     !Connectivity to nodes
@@ -96,20 +82,24 @@ MODULE moduleMesh2DCart
     REAL(8):: arNodes(1:3) = 0.D0
 
     CONTAINS
-      PROCEDURE, PASS::   init        => initCellTria2DCart
-      PROCEDURE, PASS::   randPos     => randPosCellTria
-      PROCEDURE, PASS::   area        => areaTria
-      PROCEDURE, PASS::   fPsi        => fPsiTria
-      PROCEDURE, PASS::   dPsi        => dPsiTria
-      PROCEDURE, PASS, PRIVATE::   partialDer  => partialDerTria
-      PROCEDURE, PASS::   elemK       => elemKTria
-      PROCEDURE, PASS::   elemF       => elemFTria
-      PROCEDURE, PASS:: gatherElectricField => gatherEFTria
-      PROCEDURE, PASS:: gatherMagneticField => gatherMFTria
-      PROCEDURE, NOPASS:: inside      => insideTria
-      PROCEDURE, PASS::   getNodes    => getNodesTria
-      PROCEDURE, PASS::   phy2log     => phy2logTria
-      PROCEDURE, PASS::   nextElement => nextElementTria
+      !meshCell DEFERRED PROCEDURES
+      PROCEDURE, PASS::   init                => initCellTria2DCart
+      PROCEDURE, PASS::   getNodes            => getNodesTria
+      PROCEDURE, PASS::   randPos             => randPosCellTria
+      PROCEDURE, NOPASS:: fPsi                => fPsiTria
+      PROCEDURE, NOPASS:: dPsi                => dPsiTria
+      PROCEDURE, PASS::   partialDer          => partialDerTria
+      PROCEDURE, NOPASS:: detJac              => detJ2DCart
+      PROCEDURE, NOPASS:: invJac              => invJ2DCart
+      PROCEDURE, PASS::   gatherElectricField => gatherEFTria
+      PROCEDURE, PASS::   gatherMagneticField => gatherMFTria
+      PROCEDURE, PASS::   elemK               => elemKTria
+      PROCEDURE, PASS::   elemF               => elemFTria
+      PROCEDURE, NOPASS:: inside              => insideTria
+      PROCEDURE, PASS::   phy2log             => phy2logTria
+      PROCEDURE, PASS::   neighbourElement    => neighbourElementTria
+      !PARTICULAR PROCEDURES
+      PROCEDURE, PASS, PRIVATE:: area => areaTria
 
   END TYPE meshCell2DCartTria
 
@@ -175,6 +165,7 @@ MODULE moduleMesh2DCart
       r2 = self%n2%getCoordinates()
       self%x  = (/r1(1), r2(1)/)
       self%y  = (/r1(2), r2(2)/)
+      self%weight = 1.D0
       !Normal vector
       self%normal = (/ -(self%y(2)-self%y(1)), &
                          self%x(2)-self%x(1) , &
@@ -290,84 +281,17 @@ MODULE moduleMesh2DCart
 
     END SUBROUTINE initCellQuad2DCart
 
-    !Computes element area
-    PURE SUBROUTINE areaQuad(self)
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCartQuad), INTENT(inout):: self
-      REAL(8):: Xi(1:3)
-      REAL(8):: detJ
-      REAL(8):: fPsi(1:4)
-
-      self%volume  = 0.D0
-      self%arNodes = 0.D0
-      !2D 1 point Gauss Quad Integral
-      Xi = 0.D0
-      detJ = self%detJac(Xi, 4)*4.D0 !4
-      fPsi = self%fPsi(Xi, 4)
-      self%volume  =      detJ
-      self%arNodes = fPsi*detJ
-
-    END SUBROUTINE areaQuad
-
-    !Computes element functions in point Xi
-    PURE FUNCTION fPsiQuad(self, Xi, nNodes) RESULT(fPsi) 
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCartQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8):: fPsi(1:nNodes)
-
-      fPsi(1) = (1.D0-Xi(1)) * (1.D0-Xi(2))
-      fPsi(2) = (1.D0+Xi(1)) * (1.D0-Xi(2))
-      fPsi(3) = (1.D0+Xi(1)) * (1.D0+Xi(2))
-      fPsi(4) = (1.D0-Xi(1)) * (1.D0+Xi(2))
-
-      fPsi    = fPsi*0.25D0
-
-    END FUNCTION fPsiQuad
-
-    !Derivative element function at coordinates Xi
-    PURE FUNCTION dPsiQuad(self, Xi, nNodes) RESULT(dPsi)
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCartQuad), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8):: dPsi(1:3,1:nNodes)
-
-      dPsi = 0.D0
-
-      dPsi(1,:) = (/ -(1.D0 - Xi(2)), &
-                      (1.D0 - Xi(2)), &
-                      (1.D0 + Xi(2)), &
-                     -(1.D0 + Xi(2)) /)
-
-      dPsi(2,:) = (/ -(1.D0 - Xi(1)), &
-                     -(1.D0 + Xi(1)), &
-                      (1.D0 + Xi(1)), &
-                      (1.D0 - Xi(1)) /)
-
-      dPsi = dPsi * 0.25D0
-
-    END FUNCTION dPsiQuad
-
-    !Partial derivative in global coordinates
-    PURE SUBROUTINE partialDerQuad(self, nNodes, dPsi, dx, dy)
+    !Get nodes from quadrilateral element
+    PURE FUNCTION getNodesQuad(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartQuad), INTENT(in):: self
       INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
-      REAL(8), INTENT(out), DIMENSION(1:2):: dx, dy
+      INTEGER:: n(1:nNodes)
 
-      dx = (/ DOT_PRODUCT(dPsi(1,1:4),self%x(1:4)), &
-              DOT_PRODUCT(dPsi(2,1:4),self%x(1:4)) /)
-      dy = (/ DOT_PRODUCT(dPsi(1,1:4),self%y(1:4)), &
-              DOT_PRODUCT(dPsi(2,1:4),self%y(1:4)) /)
+      n = (/ self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
 
-    END SUBROUTINE partialDerQuad
+    END FUNCTION getNodesQuad
 
     !Random position in quadrilateral volume
     FUNCTION randPosCellQuad(self) RESULT(r)
@@ -379,78 +303,77 @@ MODULE moduleMesh2DCart
       REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4)
 
+      Xi    = 0.D0
       Xi(1) = random(-1.D0, 1.D0)
       Xi(2) = random(-1.D0, 1.D0)
-      Xi(3) = 0.D0
 
       fPsi = self%fPsi(Xi, 4)
 
+      r    = 0.D0
       r(1) = DOT_PRODUCT(fPsi, self%x)
       r(2) = DOT_PRODUCT(fPsi, self%y)
-      r(3) = 0.D0
 
     END FUNCTION randPosCellQuad
 
-    !Computes element local stiffness matrix
-    PURE FUNCTION elemKQuad(self, nNodes) RESULT(localK)
+    !Computes element functions in point Xi
+    PURE FUNCTION fPsiQuad(Xi, nNodes) RESULT(fPsi)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: Xi(1:3)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: fPsi(1:nNodes)
+
+      fPsi = (/ (1.D0-Xi(1)) * (1.D0-Xi(2)), &
+                (1.D0+Xi(1)) * (1.D0-Xi(2)), &
+                (1.D0+Xi(1)) * (1.D0+Xi(2)), &
+                (1.D0-Xi(1)) * (1.D0+Xi(2)) /)
+
+      fPsi    = fPsi * 0.25D0
+
+    END FUNCTION fPsiQuad
+
+    !Derivative element function at coordinates Xi
+    PURE FUNCTION dPsiQuad(Xi, nNodes) RESULT(dPsi)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: Xi(1:3)
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: dPsi(1:3,1:nNodes)
+
+      dPsi = 0.D0
+
+      dPsi(1, 1:4) = (/ -(1.D0 - Xi(2)), &
+                         (1.D0 - Xi(2)), &
+                         (1.D0 + Xi(2)), &
+                        -(1.D0 + Xi(2)) /)
+
+      dPsi(2, 1:4) = (/ -(1.D0 - Xi(1)), &
+                        -(1.D0 + Xi(1)), &
+                         (1.D0 + Xi(1)), &
+                         (1.D0 - Xi(1)) /)
+
+      dPsi = dPsi * 0.25D0
+
+    END FUNCTION dPsiQuad
+
+    !Partial derivative in global coordinates
+    PURE FUNCTION partialDerQuad(self, nNodes, dPsi) RESULT(pDer)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartQuad), INTENT(in):: self
       INTEGER, INTENT(in):: nNodes
-      REAL(8):: localK(1:nNodes,1:nNodes)
-      REAL(8):: Xi(1:3)
-      REAL(8):: fPsi(1:4), dPsi(1:3,1:4)
-      REAL(8):: invJ(1:3,1:3), detJ
-      INTEGER:: l, m
+      REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
+      REAL(8):: pDer(1:3, 1:3)
 
-      localK=0.D0
-      Xi=0.D0
-      !Start 2D Gauss Quad Integral
-      DO l=1, 3
-        Xi(2) = corQuad(l)
-        DO m = 1, 3
-          Xi(1)  = corQuad(m)
-          fPsi   = self%fPsi(Xi, 4)
-          dPsi   = self%dPsi(Xi, 4)
-          detJ   = self%detJac(Xi, 4, dPsi)
-          invJ   = self%invJac(Xi, 4, dPsi)
-          localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
-                                             MATMUL(invJ,dPsi))* &
-                            wQuad(l)*wQuad(m)/detJ
+      pDer = 0.D0
 
-        END DO
-      END DO
+      pDer(1, 1:2) = (/ DOT_PRODUCT(dPsi(1,1:4),self%x(1:4)), &
+                        DOT_PRODUCT(dPsi(2,1:4),self%x(1:4)) /)
+      pDer(2, 1:2) = (/ DOT_PRODUCT(dPsi(1,1:4),self%y(1:4)), &
+                        DOT_PRODUCT(dPsi(2,1:4),self%y(1:4)) /)
+      pDer(3,3) = 1.D0
 
-    END FUNCTION elemKQuad
-
-    !Computes the local source vector for a force f
-    PURE FUNCTION elemFQuad(self, nNodes, source) RESULT(localF)
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCartQuad), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in):: source(1:nNodes)
-      REAL(8):: localF(1:nNodes)
-      REAL(8):: Xi(1:3)
-      REAL(8):: fPsi(1:4)
-      REAL(8):: detJ, f
-      INTEGER:: l, m
-
-      localF = 0.D0
-      Xi     = 0.D0
-      DO l=1, 3
-        Xi(1) = corQuad(l)
-        DO m = 1, 3
-          Xi(2)  = corQuad(m)
-          detJ   = self%detJac(Xi, 4)
-          fPsi = self%fPsi(Xi, 4)
-          f      = DOT_PRODUCT(fPsi,source)
-          localF = localF + f*fPsi*wQuad(l)*wQuad(m)*detJ
-
-         END DO
-      END DO
-
-    END FUNCTION elemFQuad
+    END FUNCTION partialDerQuad
 
     PURE FUNCTION gatherEFQuad(self, Xi) RESULT(array)
       IMPLICIT NONE
@@ -494,6 +417,75 @@ MODULE moduleMesh2DCart
 
     END FUNCTION gatherMFQuad
 
+    !Computes element local stiffness matrix
+    PURE FUNCTION elemKQuad(self, nNodes) RESULT(localK)
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCartQuad), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
+      REAL(8):: Xi(1:3)
+      REAL(8):: dPsi(1:3, 1:4)
+      REAL(8):: pDer(1:3, 1:3)
+      REAL(8):: r
+      REAL(8):: invJ(1:3,1:3), detJ
+      INTEGER:: l, m
+
+      localK = 0.D0
+
+      Xi = 0.D0
+      !Start 2D Gauss Quad Integral
+      DO l = 1, 3
+        Xi(2) = corQuad(l)
+        DO m = 1, 3
+          Xi(1)  = corQuad(m)
+          dPsi   = self%dPsi(Xi, 4)
+          pDer   = self%partialDer(4, dPsi)
+          detJ   = self%detJac(pDer)
+          invJ   = self%invJac(pDer)
+          localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
+                                             MATMUL(invJ,dPsi))* &
+                            wQuad(l)*wQuad(m)/detJ
+
+        END DO
+      END DO
+
+    END FUNCTION elemKQuad
+
+    !Computes the local source vector for a force f
+    PURE FUNCTION elemFQuad(self, nNodes, source) RESULT(localF)
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCartQuad), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
+      REAL(8):: Xi(1:3)
+      REAL(8):: fPsi(1:4)
+      REAL(8):: dPsi(1:3, 1:4)
+      REAL(8):: pDer(1:3, 1:3)
+      REAL(8):: detJ, f
+      INTEGER:: l, m
+
+      localF = 0.D0
+
+      Xi = 0.D0
+      DO l = 1, 3
+        Xi(1) = corQuad(l)
+        DO m = 1, 3
+          Xi(2)  = corQuad(m)
+          dPsi   = self%dPsi(Xi, 4)
+          pDer   = self%partialDer(4, dPsi)
+          detJ   = self%detJac(pDer)
+          fPsi = self%fPsi(Xi, 4)
+          f      = DOT_PRODUCT(fPsi,source)
+          localF = localF + f*fPsi*wQuad(l)*wQuad(m)*detJ
+
+         END DO
+      END DO
+
+    END FUNCTION elemFQuad
+
     !Checks if a particle is inside a quad element
     PURE FUNCTION insideQuad(Xi) RESULT(ins)
       IMPLICIT NONE
@@ -506,18 +498,6 @@ MODULE moduleMesh2DCart
 
     END FUNCTION insideQuad
 
-    !Gets nodes from quadrilateral element
-    PURE FUNCTION getNodesQuad(self, nNodes) RESULT(n)
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCartQuad), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      INTEGER:: n(1:nNodes)
-
-      n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
-
-    END FUNCTION getNodesQuad
-
     !Transforms physical coordinates to element coordinates
     PURE FUNCTION phy2logQuad(self,r) RESULT(Xi) 
       IMPLICIT NONE
@@ -527,6 +507,7 @@ MODULE moduleMesh2DCart
       REAL(8):: Xi(1:3)
       REAL(8):: XiO(1:3), detJ, invJ(1:3,1:3), f(1:3)
       REAL(8):: dPsi(1:3,1:4), fPsi(1:4)
+      REAL(8):: pDer(1:3, 1:3)
       REAL(8):: conv
 
       !Iterative newton method to transform coordinates
@@ -535,7 +516,9 @@ MODULE moduleMesh2DCart
 
       DO WHILE(conv > 1.D-2)
         dPsi = self%dPsi(XiO, 4)
-        invJ = self%invJac(XiO, 4, dPsi)
+        pDer = self%partialDer(4, dPsi)
+        detJ = self%detJac(pDer)
+        invJ = self%invJac(pDer)
         fPsi = self%fPsi(XiO, 4)
         f = (/ DOT_PRODUCT(fPsi,self%x), &
                DOT_PRODUCT(fPsi,self%y), &
@@ -550,31 +533,56 @@ MODULE moduleMesh2DCart
     END FUNCTION phy2logQuad
 
     !Gets the next element for a logical position Xi
-    SUBROUTINE nextElementQuad(self, Xi, nextElement)
+    SUBROUTINE neighbourElementQuad(self, Xi, neighbourElement)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartQuad), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      CLASS(meshElement), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: neighbourElement
       REAL(8):: XiArray(1:4)
       INTEGER:: nextInt
 
       XiArray = (/ -Xi(2), Xi(1), Xi(2), -Xi(1) /)
       nextInt = MAXLOC(XiArray,1)
       !Selects the higher value of directions and searches in that direction
-      NULLIFY(nextElement)
+      NULLIFY(neighbourElement)
       SELECT CASE (nextInt)
       CASE (1)
-        nextElement => self%e1
+        neighbourElement => self%e1
       CASE (2)
-        nextElement => self%e2
+        neighbourElement => self%e2
       CASE (3)
-        nextElement => self%e3
+        neighbourElement => self%e3
       CASE (4)
-        nextElement => self%e4
+        neighbourElement => self%e4
       END SELECT
 
-    END SUBROUTINE nextElementQuad
+    END SUBROUTINE neighbourElementQuad
+
+    !Computes element area
+    PURE SUBROUTINE areaQuad(self)
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCartQuad), INTENT(inout):: self
+      REAL(8):: Xi(1:3)
+      REAL(8):: detJ
+      REAL(8):: fPsi(1:4)
+      REAL(8):: dPsi(1:3, 1:4), pDer(1:3, 1:3)
+
+      self%volume  = 0.D0
+      self%arNodes = 0.D0
+      !2D 1 point Gauss Quad Integral
+      Xi = 0.D0
+      dPsi = self%dPsi(Xi, 4)
+      pDer = self%partialDer(4, dPsi)
+      detJ = self%detJac(pDer)
+      fPsi = self%fPsi(Xi, 4)
+      !Computes total volume of the cell
+      self%volume  =      detJ
+      !Computes volume per node
+      self%arNodes = fPsi*detJ
+
+    END SUBROUTINE areaQuad
 
     !TRIA ELEMENT
     !Init tria element
@@ -617,6 +625,18 @@ MODULE moduleMesh2DCart
 
     END SUBROUTINE initCellTria2DCart
 
+    !Gets node indexes from triangular element
+    PURE FUNCTION getNodesTria(self, nNodes) RESULT(n)
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCartTria), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      INTEGER:: n(1:nNodes)
+
+      n = (/self%n1%n, self%n2%n, self%n3%n /)
+
+    END FUNCTION getNodesTria
+
     !Random position in quadrilateral volume
     FUNCTION randPosCellTria(self) RESULT(r)
       USE moduleRandom
@@ -639,31 +659,10 @@ MODULE moduleMesh2DCart
 
     END FUNCTION randPosCellTria
 
-    !Calculates area for triangular element
-    PURE SUBROUTINE areaTria(self)
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCartTria), INTENT(inout):: self
-      REAL(8):: Xi(1:3)
-      REAL(8):: detJ
-      REAL(8):: fPsi(1:3)
-
-      self%volume  = 0.D0
-      self%arNodes = 0.D0
-      !2D 1 point Gauss Quad Integral
-      Xi = (/1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
-      detJ  = self%detJac(Xi, 4)/2.D0 
-      fPsi = self%fPsi(Xi, 4)
-      self%volume  =      detJ
-      self%arNodes = fPsi*detJ
-
-    END SUBROUTINE areaTria
-
     !Shape functions for triangular element
-    PURE FUNCTION fPsiTria(self, Xi, nNodes) RESULT(fPsi)
+    PURE FUNCTION fPsiTria(Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
-      CLASS(meshCell2DCartTria), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
       REAL(8):: fPsi(1:nNodes)
@@ -675,10 +674,9 @@ MODULE moduleMesh2DCart
     END FUNCTION fPsiTria
 
     !Derivative element function at coordinates Xi
-    PURE FUNCTION dPsiTria(self, Xi, nNodes) RESULT(dPsi)
+    PURE FUNCTION dPsiTria(Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
-      CLASS(meshCell2DCartTria), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
       INTEGER, INTENT(in):: nNodes
       REAL(8):: dPsi(1:3,1:nNodes)
@@ -690,76 +688,22 @@ MODULE moduleMesh2DCart
 
     END FUNCTION dPsiTria
 
-    PURE SUBROUTINE partialDerTria(self, nNodes, dPsi, dx, dy)
+    PURE FUNCTION partialDerTria(self, nNodes, dPsi) RESULT(pDer)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartTria), INTENT(in):: self
       INTEGER, INTENT(in):: nNodes
       REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
-      REAL(8), INTENT(out), DIMENSION(1:2):: dx, dy
+      REAL(8):: pDer(1:3, 1:3)
 
-      dx = (/ DOT_PRODUCT(dPsi(1,:),self%x), &
-              DOT_PRODUCT(dPsi(2,:),self%x) /)
-      dy = (/ DOT_PRODUCT(dPsi(1,:),self%y), &
-              DOT_PRODUCT(dPsi(2,:),self%y) /)
+      pDer = 0.D0
 
-    END SUBROUTINE partialDerTria
+      pDer(1, 1:2) = (/ DOT_PRODUCT(dPsi(1,1:3),self%x(1:3)), &
+                        DOT_PRODUCT(dPsi(2,1:3),self%x(1:3)) /)
+      pDer(2, 1:2) = (/ DOT_PRODUCT(dPsi(1,1:3),self%y(1:3)), &
+                        DOT_PRODUCT(dPsi(2,1:3),self%y(1:3)) /)
 
-    !Computes element local stiffness matrix
-    PURE FUNCTION elemKTria(self, nNodes) RESULT(localK)
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCartTria), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8):: localK(1:nNodes,1:nNodes)
-      REAL(8):: Xi(1:3)
-      REAL(8):: fPsi(1:3), dPsi(1:3,1:3)
-      REAL(8):: invJ(1:3,1:3), detJ
-      INTEGER:: l
-
-      localK=0.D0
-      Xi=0.D0
-      !Start 2D Gauss Quad Integral
-      DO l=1, 4
-        Xi(1)  = Xi1Tria(l)
-        Xi(2)  = Xi2Tria(l)
-        dPsi   = self%dPsi(Xi, 3)
-        detJ   = self%detJac(Xi, 3, dPsi)
-        invJ   = self%invJac(Xi, 3, dPsi)
-        fPsi   = self%fPsi(Xi, 3)
-        localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wTria(l)/detJ
-
-      END DO
-
-    END FUNCTION elemKTria
-
-    !Computes element local source vector
-    PURE FUNCTION elemFTria(self, nNodes, source) RESULT(localF)
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCartTria), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in):: source(1:nNodes)
-      REAL(8):: localF(1:nNodes)
-      REAL(8):: fPsi(1:3)
-      REAL(8):: Xi(1:3)
-      REAL(8):: detJ, f
-      INTEGER:: l
-
-      localF = 0.D0
-      Xi     = 0.D0
-      !Start 2D Gauss Quad Integral
-      DO l=1, 4
-        Xi(1)  = Xi1Tria(l)
-        Xi(2)  = Xi2Tria(l)
-        detJ   = self%detJac(Xi, 3)
-        fPsi   = self%fPsi(Xi, 3)
-        f      = DOT_PRODUCT(fPsi,source)
-        localF = localF + f*fPsi*wTria(l)*detJ
-
-      END DO
-
-    END FUNCTION elemFTria
+    END FUNCTION partialDerTria
 
     PURE FUNCTION gatherEFTria(self, Xi) RESULT(array)
       IMPLICIT NONE
@@ -799,6 +743,66 @@ MODULE moduleMesh2DCart
 
     END FUNCTION gatherMFTria
 
+    !Computes element local stiffness matrix
+    PURE FUNCTION elemKTria(self, nNodes) RESULT(localK)
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCartTria), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      REAL(8):: localK(1:nNodes,1:nNodes)
+      REAL(8):: Xi(1:3)
+      REAL(8):: dPsi(1:3,1:3)
+      REAL(8):: pDer(1:3, 1:3)
+      REAL(8):: invJ(1:3,1:3), detJ
+      INTEGER:: l
+
+      localK=0.D0
+      Xi=0.D0
+      !Start 2D Gauss Quad Integral
+      DO l=1, 4
+        Xi(1)  = Xi1Tria(l)
+        Xi(2)  = Xi2Tria(l)
+        dPsi   = self%dPsi(Xi, 3)
+        pDer   = self%partialDer(3, dPsi)
+        detJ   = self%detJac(pDer)
+        invJ   = self%invJac(pDer)
+        localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wTria(l)/detJ
+
+      END DO
+
+    END FUNCTION elemKTria
+
+    !Computes element local source vector
+    PURE FUNCTION elemFTria(self, nNodes, source) RESULT(localF)
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCartTria), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes
+      REAL(8), INTENT(in):: source(1:nNodes)
+      REAL(8):: localF(1:nNodes)
+      REAL(8):: fPsi(1:3)
+      REAL(8):: dPsi(1:3, 1:3), pDer(1:3, 1:3)
+      REAL(8):: Xi(1:3)
+      REAL(8):: detJ, f
+      INTEGER:: l
+
+      localF = 0.D0
+      Xi     = 0.D0
+      !Start 2D Gauss Quad Integral
+      DO l=1, 4
+        Xi(1)  = Xi1Tria(l)
+        Xi(2)  = Xi2Tria(l)
+        dPsi   = self%dPsi(Xi, 3)
+        pDer   = self%partialDer(3, dPsi)
+        detJ   = self%detJac(pDer)
+        fPsi   = self%fPsi(Xi, 3)
+        f      = DOT_PRODUCT(fPsi,source)
+        localF = localF + f*fPsi*wTria(l)*detJ
+
+      END DO
+
+    END FUNCTION elemFTria
+
     PURE FUNCTION insideTria(Xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -811,18 +815,6 @@ MODULE moduleMesh2DCart
 
     END FUNCTION insideTria
 
-    !Gets node indexes from triangular element
-    PURE FUNCTION getNodesTria(self, nNodes) RESULT(n)
-      IMPLICIT NONE
-
-      CLASS(meshCell2DCartTria), INTENT(in):: self
-      INTEGER, INTENT(in):: nNodes
-      INTEGER:: n(1:nNodes)
-
-      n = (/self%n1%n, self%n2%n, self%n3%n /)
-
-    END FUNCTION getNodesTria
-
     !Transforms physical coordinates to element coordinates
     PURE FUNCTION phy2logTria(self,r) RESULT(Xi)
       IMPLICIT NONE
@@ -830,96 +822,94 @@ MODULE moduleMesh2DCart
       CLASS(meshCell2DCartTria), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: Xi(1:3)
-      REAL(8):: invJ(1:3,1:3), detJ
       REAL(8):: deltaR(1:3)
-      REAL(8):: dPsi(1:3,1:3)
+      REAL(8):: dPsi(1:3, 1:3)
+      REAL(8):: pDer(1:3, 1:3)
+      REAL(8):: invJ(1:3,  1:3), detJ
 
       !Direct method to convert coordinates
       Xi     = 0.D0
       deltaR = (/ r(1) - self%x(1), r(2) - self%y(1), 0.D0 /)
       dPsi   = self%dPsi(Xi, 3)
-      invJ   = self%invJac(Xi, 3, dPsi)
-      detJ   = self%detJac(Xi, 3, dPsi)
+      pDer   = self%partialDer(3, dPsi)
+      invJ   = self%invJac(pDer)
+      detJ   = self%detJac(pDer)
       Xi     = MATMUL(invJ,deltaR)/detJ
 
     END FUNCTION phy2logTria
 
-    SUBROUTINE nextElementTria(self, Xi, nextElement)
+    SUBROUTINE neighbourElementTria(self, Xi, neighbourElement)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartTria), INTENT(in):: self
       REAL(8), INTENT(in):: Xi(1:3)
-      CLASS(meshElement), POINTER, INTENT(out):: nextElement
+      CLASS(meshElement), POINTER, INTENT(out):: neighbourElement
       REAL(8):: XiArray(1:3)
       INTEGER:: nextInt
 
       XiArray = (/ Xi(2), 1.D0-Xi(1)-Xi(2), Xi(1) /)
       nextInt = MINLOC(XiArray,1)
-      NULLIFY(nextElement)
+      NULLIFY(neighbourElement)
       SELECT CASE (nextInt)
       CASE (1)
-        nextElement => self%e1
+        neighbourElement => self%e1
       CASE (2)
-        nextElement => self%e2
+        neighbourElement => self%e2
       CASE (3)
-        nextElement => self%e3
+        neighbourElement => self%e3
       END SELECT
 
-    END SUBROUTINE nextElementTria
+    END SUBROUTINE neighbourElementTria
+
+    !Calculates area for triangular element
+    PURE SUBROUTINE areaTria(self)
+      IMPLICIT NONE
+
+      CLASS(meshCell2DCartTria), INTENT(inout):: self
+      REAL(8):: Xi(1:3)
+      REAL(8):: dPsi(1:3, 1:3), pDer(1:3, 1:3)
+      REAL(8):: detJ
+      REAL(8):: fPsi(1:3)
+
+      self%volume  = 0.D0
+      self%arNodes = 0.D0
+      !2D 1 point Gauss Quad Integral
+      Xi = (/ 1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
+      dPsi = self%dPsi(Xi, 3)
+      pDer = self%partialDer(3, dPsi)
+      detJ = self%detJac(pDer)
+      fPsi = self%fPsi(Xi, 4)
+      !Computes total volume of the cell
+      self%volume  =      detJ
+      !Computes volume per node
+      self%arNodes = fPsi*detJ
+
+    END SUBROUTINE areaTria
 
     !COMMON FUNCTIONS FOR CARTESIAN VOLUME ELEMENTS IN 2D
     !Computes element Jacobian determinant
-    PURE FUNCTION detJ2DCart(self, Xi, nNodes, dPsi_in) RESULT(dJ)
+    PURE FUNCTION detJ2DCart(pDer) RESULT(dJ)
       IMPLICIT NONE
 
-      CLASS(meshCell2DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
+      REAL(8), INTENT(in):: pDer(1:3, 1:3)
       REAL(8):: dJ
-      REAL(8):: dPsi(1:3,1:nNodes)
-      REAL(8):: dx(1:2), dy(1:2)
 
-      IF(PRESENT(dPsi_in)) THEN
-        dPsi = dPsi_in
-
-      ELSE
-        dPsi = self%dPsi(Xi, 4)
-
-      END IF
-
-      CALL self%partialDer(nNodes, dPsi, dx, dy)
-
-      dJ = dx(1)*dy(2)-dx(2)*dy(1)
+      dJ = pDer(1,1)*pDer(2,2)-pDer(1,2)*pDer(2,1)
 
     END FUNCTION detJ2DCart
 
     !Computes element Jacobian inverse matrix (without determinant)
-    PURE FUNCTION invJ2DCart(self, Xi, nNodes, dPsi_in) RESULT(invJ)
+    PURE FUNCTION invJ2DCart(pDer) RESULT(invJ)
       IMPLICIT NONE
 
-      CLASS(meshCell2DCart), INTENT(in):: self
-      REAL(8), INTENT(in):: Xi(1:3)
-      INTEGER, INTENT(in):: nNodes
-      REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
+      REAL(8), INTENT(in):: pDer(1:3, 1:3)
       REAL(8):: invJ(1:3,1:3)
-      REAL(8):: dPsi(1:3,1:nNodes)
-      REAL(8):: dx(1:2), dy(1:2)
-
-      IF(PRESENT(dPsi_in)) THEN
-        dPsi=dPsi_in
-
-      ELSE
-        dPsi = self%dPsi(Xi, 4)
-
-      END IF
 
       invJ = 0.D0
 
-      CALL self%partialDer(nNodes, dPsi, dx, dy)
-
-      invJ(1,1:2) = (/  dy(2), -dx(2) /)
-      invJ(2,1:2) = (/ -dy(1),  dx(1) /)
+      invJ(1, 1:2) = (/  pDer(2,2), -pDer(1,2) /)
+      invJ(2, 1:2) = (/ -pDer(2,1),  pDer(1,1) /)
+      invJ(3, 3)   = 1.D0
 
     END FUNCTION invJ2DCart
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 1e8c79d..d9a7f32 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -67,7 +67,7 @@ MODULE moduleMesh2DCyl
       PROCEDURE, PASS::   phy2log             => phy2logQuad
       PROCEDURE, PASS::   neighbourElement    => neighbourElementQuad
       !PARTICLUAR PROCEDURES
-      PROCEDURE, PASS::   area                => areaQuad
+      PROCEDURE, PASS, PRIVATE:: area => areaQuad
 
   END TYPE meshCell2DCylQuad
 
@@ -99,7 +99,7 @@ MODULE moduleMesh2DCyl
       PROCEDURE, PASS::   phy2log             => phy2logTria
       PROCEDURE, PASS::   neighbourElement    => neighbourElementTria
       !PARTICULAR PROCEDURES
-      PROCEDURE, PASS::   area                => areaTria
+      PROCEDURE, PASS, PRIVATE:: area => areaTria
 
   END TYPE meshCell2DCylTria
 
@@ -256,8 +256,13 @@ MODULE moduleMesh2DCyl
       TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3, r4
 
+      !Assign node index
       self%n  = n
+
+      !Assign number of nodes of cell
       self%nNodes = SIZE(p)
+
+      !Assign nodes to element
       self%n1 => nodes(p(1))%obj
       self%n2 => nodes(p(2))%obj
       self%n3 => nodes(p(3))%obj
@@ -428,7 +433,7 @@ MODULE moduleMesh2DCyl
       INTEGER, INTENT(in):: nNodes
       REAL(8):: localK(1:nNodes,1:nNodes)
       REAL(8):: Xi(1:3)
-      REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
+      REAL(8):: dPsi(1:3, 1:4)
       REAL(8):: pDer(1:3, 1:3)
       REAL(8):: r
       REAL(8):: invJ(1:3,1:3), detJ
@@ -445,8 +450,7 @@ MODULE moduleMesh2DCyl
           pDer   = self%partialDer(4, dPsi)
           detJ   = self%detJac(pDer)
           invJ   = self%invJac(pDer)
-          fPsi   = self%fPsi(Xi, 4)
-          r      = DOT_PRODUCT(fPsi,self%r)
+          r      = self%gatherF(Xi, 4, self%r)
           localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
                                              MATMUL(invJ,dPsi))* &
                             r*wQuad(l)*wQuad(m)/detJ
@@ -467,7 +471,8 @@ MODULE moduleMesh2DCyl
       REAL(8), INTENT(in):: source(1:nNodes)
       REAL(8):: localF(1:nNodes)
       REAL(8):: Xi(1:3)
-      REAL(8):: fPsi(1:4), dPsi(1:3, 1:4)
+      REAL(8):: fPsi(1:4)
+      REAL(8):: dPsi(1:3, 1:4)
       REAL(8):: pDer(1:3, 1:3)
       REAL(8):: r
       REAL(8):: detJ, f
@@ -483,7 +488,7 @@ MODULE moduleMesh2DCyl
           pDer   = self%partialDer(4, dPsi)
           detJ   = self%detJac(pDer)
           fPsi = self%fPsi(Xi, 4)
-          r      = DOT_PRODUCT(fPsi,self%r)
+          r      = DOT_PRODUCT(fPsi, self%r)
           f      = DOT_PRODUCT(fPsi,source)
           localF = localF + r*f*fPsi*wQuad(l)*wQuad(m)*detJ
 
@@ -539,7 +544,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION phy2logQuad
 
-    !Gets the next element for a logical position Xi
+    !Get the next element for a logical position Xi
     SUBROUTINE neighbourElementQuad(self, Xi, neighbourElement)
       IMPLICIT NONE
 
@@ -572,7 +577,8 @@ MODULE moduleMesh2DCyl
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(inout):: self
-      REAL(8):: r, Xi(1:3)
+      REAL(8):: Xi(1:3)
+      REAL(8):: r
       REAL(8):: detJ
       REAL(8):: fPsi(1:4)
       REAL(8):: dPsi(1:3, 1:4), pDer(1:3, 1:3)
@@ -583,24 +589,24 @@ MODULE moduleMesh2DCyl
       Xi = 0.D0
       dPsi = self%dPsi(Xi, 4)
       pDer = self%partialDer(4, dPsi)
-      detJ = self%detJac(pDer)*PI8 !4*2*pi
+      detJ = self%detJac(pDer)
       fPsi = self%fPsi(Xi, 4)
       !Computes total volume of the cell
       r = DOT_PRODUCT(fPsi,self%r)
-      self%volume  = r*detJ
+      self%volume  = r*detJ*PI8 !4*2*pi
       !Computes volume per node
       Xi = (/-5.D-1, -5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
-      self%arNodes(1) = fPsi(1)*r*detJ
+      self%arNodes(1) = fPsi(1)*self%volume
       Xi = (/ 5.D-1, -5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
-      self%arNodes(2) = fPsi(2)*r*detJ
+      self%arNodes(2) = fPsi(2)*self%volume
       Xi = (/ 5.D-1,  5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
-      self%arNodes(3) = fPsi(3)*r*detJ
+      self%arNodes(3) = fPsi(3)*self%volume
       Xi = (/-5.D-1,  5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
-      self%arNodes(4) = fPsi(4)*r*detJ
+      self%arNodes(4) = fPsi(4)*self%volume
 
     END SUBROUTINE areaQuad
 
@@ -619,7 +625,7 @@ MODULE moduleMesh2DCyl
       !Assign node index
       self%n = n
 
-      !Assign nomber of nodes to cell
+      !Assign number of nodes of cell
       self%nNodes = SIZE(p)
 
       !Assign nodes to element
@@ -736,7 +742,7 @@ MODULE moduleMesh2DCyl
                self%n2%emData%phi, &
                self%n3%emData%phi /)
 
-      array = -self%gatherDF(Xi, 4, phi)
+      array = -self%gatherDF(Xi, 3, phi)
 
     END FUNCTION gatherEFTria
 
@@ -772,8 +778,8 @@ MODULE moduleMesh2DCyl
       INTEGER, INTENT(in):: nNodes
       REAL(8):: localK(1:nNodes,1:nNodes)
       REAL(8):: Xi(1:3)
+      REAL(8):: dPsi(1:3,1:3)
       REAL(8):: r
-      REAL(8):: fPsi(1:3), dPsi(1:3,1:3)
       REAL(8):: pDer(1:3, 1:3)
       REAL(8):: invJ(1:3,1:3), detJ
       INTEGER:: l
@@ -788,8 +794,7 @@ MODULE moduleMesh2DCyl
         pDer   = self%partialDer(3, dPsi)
         detJ   = self%detJac(pDer)
         invJ   = self%invJac(pDer)
-        fPsi   = self%fPsi(Xi, 3)
-        r      = DOT_PRODUCT(fPsi,self%r)
+        r      = self%gatherF(Xi, 3, self%r)
         localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*r*wTria(l)/detJ
 
       END DO
@@ -809,22 +814,23 @@ MODULE moduleMesh2DCyl
       REAL(8):: fPsi(1:3)
       REAL(8):: dPsi(1:3, 1:3), pDer(1:3, 1:3)
       REAL(8):: Xi(1:3)
-      REAL(8):: r
       REAL(8):: detJ, f
+      REAL(8):: r
       INTEGER:: l
 
       localF = 0.D0
-      Xi     = 0.D0
+
+      Xi = 0.D0
       !Start 2D Gauss Quad Integral
-      DO l=1, 4
+      DO l = 1, 4
         Xi(1)  = Xi1Tria(l)
         Xi(2)  = Xi2Tria(l)
         dPsi   = self%dPsi(Xi, 3)
         pDer   = self%partialDer(3, dPsi)
         detJ   = self%detJac(pDer)
         fPsi   = self%fPsi(Xi, 3)
-        r      = DOT_PRODUCT(fPsi,self%r)
-        f      = DOT_PRODUCT(fPsi,source)
+        r      = DOT_PRODUCT(fPsi, self%r)
+        f      = DOT_PRODUCT(fPsi, source)
         localF = localF + r*f*fPsi*wTria(l)*detJ
 
       END DO
@@ -897,10 +903,10 @@ MODULE moduleMesh2DCyl
 
       CLASS(meshCell2DCylTria), INTENT(inout):: self
       REAL(8):: Xi(1:3)
-      REAL(8):: r
       REAL(8):: dPsi(1:3, 1:3), pDer(1:3, 1:3)
       REAL(8):: detJ
       REAL(8):: fPsi(1:3)
+      REAL(8):: r
 
       self%volume  = 0.D0
       self%arNodes = 0.D0
@@ -908,13 +914,13 @@ MODULE moduleMesh2DCyl
       Xi = (/ 1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
       dPsi = self%dPsi(Xi, 3)
       pDer = self%partialDer(3, dPsi)
-      detJ = self%detJac(pDer)*PI !2PI*1/2
-      fPsi = self%fPsi(Xi, 4)
+      detJ = self%detJac(pDer)
+      fPsi = self%fPsi(Xi, 3)
       !Computes total volume of the cell
-      r = DOT_PRODUCT(fPsi,self%r)
-      self%volume  =      r*detJ
+      r = DOT_PRODUCT(fPsi, self%r)
+      self%volume  = r*detJ*PI !2PI*1/2
       !Computes volume per node
-      self%arNodes = fPsi*r*detJ
+      self%arNodes = fPsi*self%volume
 
     END SUBROUTINE areaTria
 
@@ -939,9 +945,9 @@ MODULE moduleMesh2DCyl
 
       invJ = 0.D0
 
-      invJ(1,1:2) = (/  pDer(2,2), -pDer(1,2) /)
-      invJ(2,1:2) = (/ -pDer(2,1),  pDer(1,1) /)
-      invJ(3,3)   = 1.D0
+      invJ(1, 1:2) = (/  pDer(2,2), -pDer(1,2) /)
+      invJ(2, 1:2) = (/ -pDer(2,1),  pDer(1,1) /)
+      invJ(3, 3)   = 1.D0
 
     END FUNCTION invJ2DCyl
 
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index a2c849d..34474cd 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -30,7 +30,7 @@ MODULE moduleMesh3DCart
       PROCEDURE, PASS::   intersection => intersection3DCartTria
       PROCEDURE, PASS::   randPos      => randPosEdgeTria
       !PARTICULAR PROCEDURES
-      PROCEDURE, NOPASS:: fPsi         => fPsiEdgeTria
+      PROCEDURE, NOPASS, PRIVATE:: fPsi => fPsiEdgeTria
 
   END TYPE meshEdge3DCartTria
 
@@ -60,7 +60,7 @@ MODULE moduleMesh3DCart
       PROCEDURE, PASS::   phy2log             => phy2logTetra
       PROCEDURE, PASS::   neighbourElement    => neighbourElementTetra
       !PARTICULAR PROCEDURES
-      PROCEDURE, PASS::   calcVol             => volumeTetra
+      PROCEDURE, PASS, PRIVATE:: calcVol => volumeTetra
       
   END TYPE meshCell3DCartTetra
 

From 746c5bea09a07aee8e59973590e4999c80830be2 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 6 Jan 2023 21:02:54 +0100
Subject: [PATCH 078/203] First step of performance improvement

Finalysing first step of performance improvement focusing on reducing
iteration CPU time by improving calculation of basic element functions,
which took a lot of the CPU time
---
 src/modules/common/moduleConstParam.f90       |   3 +-
 src/modules/init/moduleInput.f90              |   8 +-
 src/modules/mesh/1DCart/moduleMesh1DCart.f90  |  41 +++---
 src/modules/mesh/1DRad/moduleMesh1DRad.f90    |  46 +++---
 src/modules/mesh/2DCart/moduleMesh2DCart.f90  | 121 +++++++--------
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    | 139 +++++++++---------
 src/modules/mesh/3DCart/moduleMesh3DCart.f90  | 131 +++++++++--------
 .../mesh/inout/0D/moduleMeshInput0D.f90       |   3 +-
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 |   3 +-
 src/modules/mesh/moduleMesh.f90               |   3 +-
 src/modules/mesh/moduleMeshBoundary.f90       |   4 +-
 src/modules/moduleCollisions.f90              |   8 +-
 src/modules/moduleSpecies.f90                 |   2 +-
 13 files changed, 260 insertions(+), 252 deletions(-)

diff --git a/src/modules/common/moduleConstParam.f90 b/src/modules/common/moduleConstParam.f90
index cb12a23..58a3cc8 100644
--- a/src/modules/common/moduleConstParam.f90
+++ b/src/modules/common/moduleConstParam.f90
@@ -6,7 +6,8 @@ MODULE moduleConstParam
 
   REAL(8), PARAMETER:: PI  = 4.D0*DATAN(1.D0) !number pi
   REAL(8), PARAMETER:: PI2 = 2.D0*PI !2*pi
-  REAL(8), PARAMETER:: PI8 = 8.D0*PI !2*pi
+  REAL(8), PARAMETER:: PI4 = 4.D0*PI !4*pi
+  REAL(8), PARAMETER:: PI8 = 8.D0*PI !8*pi
   REAL(8), PARAMETER:: sccm2atomPerS = 4.5D17 !sccm to atom s^-1
   REAL(8), PARAMETER:: qe = 1.60217662D-19 !Elementary charge
   REAL(8), PARAMETER:: kb = 1.38064852D-23 !Boltzmann constants SI
diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 0f409fb..ff2cc4b 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -354,7 +354,7 @@ MODULE moduleInput
           CALL config%get(object // '.file', spFile, found)
           !Reads node values at the nodes
           filename = path // spFile
-          CALL mesh%readInitial(sp, filename, density, velocity, temperature)
+          CALL mesh%readInitial(filename, density, velocity, temperature)
           !For each volume in the node, create corresponding particles
           DO e = 1, mesh%numCells
             !Scale variables
@@ -378,9 +378,9 @@ MODULE moduleInput
               ALLOCATE(partNew)
               partNew%species => species(sp)%obj
               partNew%r       =  mesh%cells(e)%obj%randPos()
-              partNew%xi      =  mesh%cells(e)%obj%phy2log(partNew%r)
+              partNew%Xi      =  mesh%cells(e)%obj%phy2log(partNew%r)
               !Get mean velocity at particle position
-              fPsi = mesh%cells(e)%obj%fPsi(partNew%xi, nNodes)
+              fPsi = mesh%cells(e)%obj%fPsi(partNew%Xi, nNodes)
               DO j = 1, nNodes
                 source(j) = velocity(nodes(j), 1)
 
@@ -645,7 +645,7 @@ MODULE moduleInput
       INTEGER:: e
       CLASS(meshCell), POINTER:: vol
 
-      !Firstly, checks if the object 'interactions' exists
+      !Firstly, check if the object 'interactions' exists
       CALL config%info('interactions', found)
       IF (found) THEN
         !Checks if MC collisions have been defined
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 6a43ca1..82f43c2 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -41,7 +41,6 @@ MODULE moduleMesh1DCart
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL()
     !Connectivity to adjacent elements
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL()
-    REAL(8):: arNodes(1:2)
     CONTAINS
       !meshCell DEFERRED PROCEDURES
       PROCEDURE, PASS::   init                => initCell1DCartSegm
@@ -60,7 +59,7 @@ MODULE moduleMesh1DCart
       PROCEDURE, PASS::   phy2log             => phy2logSegm
       PROCEDURE, PASS::   neighbourElement    => neighbourElementSegm
       !PARTICLUAR PROCEDURES
-      PROCEDURE, PASS, PRIVATE:: area => areaSegm
+      PROCEDURE, PASS, PRIVATE:: vol => volumeSegm
 
   END TYPE meshCell1DCartSegm
 
@@ -100,7 +99,7 @@ MODULE moduleMesh1DCart
     END FUNCTION getCoord1DCart
 
     !EDGE FUNCTIONS
-    !Inits edge element
+    !Init edge element
     SUBROUTINE initEdge1DCart(self, n, p, bt, physicalSurface)
       USE moduleSpecies
       USE moduleBoundary
@@ -133,7 +132,7 @@ MODULE moduleMesh1DCart
         CALL pointBoundaryFunction(self, s)
 
       END DO
-      
+
       !Physical Surface
       self%physicalSurface = physicalSurface
 
@@ -162,7 +161,7 @@ MODULE moduleMesh1DCart
 
     END FUNCTION intersection1DCart
 
-    !Calculates a 'random' position in edge
+    !Calculate a 'random' position in edge
     FUNCTION randPosEdge(self) RESULT(r)
       CLASS(meshEdge1DCart), INTENT(in):: self
       REAL(8):: r(1:3)
@@ -173,7 +172,7 @@ MODULE moduleMesh1DCart
 
     !VOLUME FUNCTIONS
     !SEGMENT FUNCTIONS
-    !Init segment element
+    !Init element
     SUBROUTINE initCell1DCartSegm(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
@@ -194,9 +193,7 @@ MODULE moduleMesh1DCart
       self%x = (/ r1(1), r2(1) /)
 
       !Assign node volume
-      CALL self%area()
-      self%n1%v = self%n1%v + self%arNodes(1)
-      self%n2%v = self%n2%v + self%arNodes(2)
+      CALL self%vol()
 
       CALL OMP_INIT_LOCK(self%lock)
 
@@ -237,7 +234,7 @@ MODULE moduleMesh1DCart
 
     END FUNCTION randPos1DCartSegm
 
-    !Computes element functions at point Xi
+    !Compute element functions at point Xi
     PURE FUNCTION fPsiSegm(Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
@@ -317,7 +314,7 @@ MODULE moduleMesh1DCart
 
     END FUNCTION gatherMFSegm
 
-    !Computes element local stiffness matrix
+    !Compute element local stiffness matrix
     PURE FUNCTION elemKSegm(self, nNodes) RESULT(localK)
       IMPLICIT NONE
 
@@ -348,7 +345,7 @@ MODULE moduleMesh1DCart
 
     END FUNCTION elemKSegm
 
-    !Computes the local source vector for a force f
+    !Compute the local source vector for a force f
     PURE FUNCTION elemFSegm(self, nNodes, source) RESULT(localF)
       IMPLICIT NONE
 
@@ -422,8 +419,8 @@ MODULE moduleMesh1DCart
 
     END SUBROUTINE neighbourElementSegm
 
-    !Computes element area
-    PURE SUBROUTINE areaSegm(self)
+    !Compute element vol
+    PURE SUBROUTINE volumeSegm(self)
       IMPLICIT NONE
 
       CLASS(meshCell1DCartSegm), INTENT(inout):: self
@@ -433,22 +430,22 @@ MODULE moduleMesh1DCart
       REAL(8):: fPsi(1:2)
 
       self%volume  = 0.D0
-      self%arNodes = 0.D0
       !1D 1 point Gauss Quad Integral
       Xi = 0.D0
       dPsi = self%dPsi(Xi, 2)
       pDer = self%partialDer(2, dPsi)
       detJ = self%detJac(pDer)
       fPsi = self%fPsi(Xi, 2)
-      !Computes total volume of the cell
+      !Compute total volume of the cell
       self%volume  = detJ*2.D0
-      !Computes volume per node
-      self%arNodes = fPsi*self%volume
+      !Compute volume per node
+      self%n1%v = self%n1%v + fPsi(1)*self%volume
+      self%n2%v = self%n2%v + fPsi(2)*self%volume
 
-    END SUBROUTINE areaSegm
+    END SUBROUTINE volumeSegm
 
     !COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
-    !Computes element Jacobian determinant
+    !Compute element Jacobian determinant
     PURE FUNCTION detJ1DCart(pDer) RESULT(dJ)
       IMPLICIT NONE
 
@@ -459,7 +456,7 @@ MODULE moduleMesh1DCart
 
     END FUNCTION detJ1DCart
 
-    !Computes element Jacobian inverse matrix (without determinant)
+    !Compute element Jacobian inverse matrix (without determinant)
     PURE FUNCTION invJ1DCart(pDer) RESULT(invJ)
       IMPLICIT NONE
 
@@ -575,7 +572,7 @@ MODULE moduleMesh1DCart
         elemA%e1 => elemB
         elemB%e2 => elemA
  
-        !Revers the normal to point inside the domain
+        !Rever the normal to point inside the domain
         elemB%normal = - elemB%normal
 
       END IF
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 8230901..c8ff414 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -41,7 +41,6 @@ MODULE moduleMesh1DRad
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL()
     !Connectivity to adjacent elements
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL()
-    REAL(8):: arNodes(1:2)
     CONTAINS
       !meshCell DEFERRED PROCEDURES
       PROCEDURE, PASS::   init                => initCell1DRadSegm
@@ -60,7 +59,7 @@ MODULE moduleMesh1DRad
       PROCEDURE, PASS::   phy2log             => phy2logSegm
       PROCEDURE, PASS::   neighbourElement    => neighbourElementSegm
       !PARTICLUAR PROCEDURES
-      PROCEDURE, PASS, PRIVATE:: area => areaSegm
+      PROCEDURE, PASS, PRIVATE:: vol => volumeSegm
 
   END TYPE meshCell1DRadSegm
 
@@ -82,7 +81,7 @@ MODULE moduleMesh1DRad
       !Node volume, to be determined in mesh
       self%v = 0.D0
 
-      !Allocates output
+      !Allocate output
       ALLOCATE(self%output(1:nSpecies))
 
       CALL OMP_INIT_LOCK(self%lock)
@@ -100,7 +99,7 @@ MODULE moduleMesh1DRad
     END FUNCTION getCoord1DRad
 
     !EDGE FUNCTIONS
-    !Inits edge element
+    !Init edge element
     SUBROUTINE initEdge1DRad(self, n, p, bt, physicalSurface)
       USE moduleSpecies
       USE moduleBoundary
@@ -162,7 +161,7 @@ MODULE moduleMesh1DRad
 
     END FUNCTION intersection1DRad
 
-    !Calculates a 'random' position in edge
+    !Calculate a 'random' position in edge
     FUNCTION randPos1DRad(self) RESULT(r)
       CLASS(meshEdge1DRad), INTENT(in):: self
       REAL(8):: r(1:3)
@@ -173,7 +172,7 @@ MODULE moduleMesh1DRad
 
     !VOLUME FUNCTIONS
     !SEGMENT FUNCTIONS
-    !Init segment element
+    !Init element
     SUBROUTINE initCell1DRadSegm(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
@@ -194,9 +193,7 @@ MODULE moduleMesh1DRad
       self%r = (/ r1(1), r2(1) /)
 
       !Assign node volume
-      CALL self%area()
-      self%n1%v = self%n1%v + self%arNodes(1)
-      self%n2%v = self%n2%v + self%arNodes(2)
+      CALL self%vol()
 
       CALL OMP_INIT_LOCK(self%lock)
 
@@ -237,7 +234,7 @@ MODULE moduleMesh1DRad
 
     END FUNCTION randPos1DRadSegm
 
-    !Computes element functions at point Xi
+    !Compute element functions at point Xi
     PURE FUNCTION fPsiSegm(Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
@@ -317,7 +314,7 @@ MODULE moduleMesh1DRad
 
     END FUNCTION gatherMFSegm
 
-    !Computes element local stiffness matrix
+    !Compute element local stiffness matrix
     PURE FUNCTION elemKSegm(self, nNodes) RESULT(localK)
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
@@ -352,7 +349,7 @@ MODULE moduleMesh1DRad
 
     END FUNCTION elemKSegm
 
-    !Computes the local source vector for a force f
+    !Compute the local source vector for a force f
     PURE FUNCTION elemFSegm(self, nNodes, source) RESULT(localF)
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
@@ -430,9 +427,9 @@ MODULE moduleMesh1DRad
 
     END SUBROUTINE neighbourElementSegm
 
-    !Computes element area
-    PURE SUBROUTINE areaSegm(self)
-      USE moduleConstParam, ONLY: PI
+    !Compute element vol
+    PURE SUBROUTINE volumeSegm(self)
+      USE moduleConstParam, ONLY: PI4
       IMPLICIT NONE
 
       CLASS(meshCell1DRadSegm), INTENT(inout):: self
@@ -443,28 +440,27 @@ MODULE moduleMesh1DRad
       REAL(8):: r
 
       self%volume  = 0.D0
-      self%arNodes = 0.D0
       !1D 1 point Gauss Quad Integral
       Xi = 0.D0
       dPsi = self%dPsi(Xi, 2)
       pDer = self%partialDer(2, dPsi)
       detJ = self%detJac(pDer)
       fPsi = self%fPsi(Xi, 2)
-      !Computes total volume of the cell
       r = DOT_PRODUCT(fPsi, self%r)
-      self%volume  = r*detJ*2.D0*PI !2PI
-      !Computes volume per node
+      !Compute total volume of the cell
+      self%volume  = r*detJ*PI4 !2*2PI
+      !Compute volume per node
       Xi = (/-5.D-1,  0.D0, 0.D0/)
       r = self%gatherF(Xi, 2, self%r)
-      self%arNodes(1) = fPsi(1)*self%volume
+      self%n1%v = self%n1%v + fPsi(1)*r*detJ*PI4
       Xi = (/ 5.D-1,  0.D0, 0.D0/)
       r = self%gatherF(Xi, 2, self%r)
-      self%arNodes(2) = fPsi(2)*self%volume
+      self%n2%v = self%n2%v + fPsi(2)*r*detJ*PI4
 
-    END SUBROUTINE areaSegm
+    END SUBROUTINE volumeSegm
 
     !COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
-    !Computes element Jacobian determinant
+    !Compute element Jacobian determinant
     PURE FUNCTION detJ1DRad(pDer) RESULT(dJ)
       IMPLICIT NONE
 
@@ -475,7 +471,7 @@ MODULE moduleMesh1DRad
 
     END FUNCTION detJ1DRad
 
-    !Computes element Jacobian inverse matrix (without determinant)
+    !Compute element Jacobian inverse matrix (without determinant)
     PURE FUNCTION invJ1DRad(pDer) RESULT(invJ)
       IMPLICIT NONE
 
@@ -591,7 +587,7 @@ MODULE moduleMesh1DRad
         elemA%e1 => elemB
         elemB%e2 => elemA
 
-        !Revers the normal to point inside the domain
+        !Rever the normal to point inside the domain
         elemB%normal = - elemB%normal
 
       END IF
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index eab1266..cba0cdf 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -47,7 +47,6 @@ MODULE moduleMesh2DCart
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL(), n4 => NULL()
     !Connectivity to adjacent elements
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
-    REAL(8):: arNodes(1:4) = 0.D0
 
     CONTAINS
       !meshCell DEFERRED PROCEDURES
@@ -67,7 +66,7 @@ MODULE moduleMesh2DCart
       PROCEDURE, PASS::   phy2log             => phy2logQuad
       PROCEDURE, PASS::   neighbourElement    => neighbourElementQuad
       !PARTICLUAR PROCEDURES
-      PROCEDURE, PASS, PRIVATE:: area => areaQuad
+      PROCEDURE, PASS, PRIVATE:: vol => volumeQuad
 
   END TYPE meshCell2DCartQuad
 
@@ -79,7 +78,6 @@ MODULE moduleMesh2DCart
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL()
     !Connectivity to adjacent elements
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL()
-    REAL(8):: arNodes(1:3) = 0.D0
 
     CONTAINS
       !meshCell DEFERRED PROCEDURES
@@ -99,7 +97,7 @@ MODULE moduleMesh2DCart
       PROCEDURE, PASS::   phy2log             => phy2logTria
       PROCEDURE, PASS::   neighbourElement    => neighbourElementTria
       !PARTICULAR PROCEDURES
-      PROCEDURE, PASS, PRIVATE:: area => areaTria
+      PROCEDURE, PASS, PRIVATE:: vol => volumeTria
 
   END TYPE meshCell2DCartTria
 
@@ -141,7 +139,7 @@ MODULE moduleMesh2DCart
     END FUNCTION getCoord2DCart
 
     !EDGE FUNCTIONS
-    !Inits edge element
+    !Init edge element
     SUBROUTINE initEdge2DCart(self, n, p, bt, physicalSurface)
       USE moduleSpecies
       USE moduleBoundary
@@ -198,6 +196,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION getNodes2DCart
 
+    !Calculate intersection between position and edge
     PURE FUNCTION intersection2DCartEdge(self, r0) RESULT(r)
       IMPLICIT NONE
 
@@ -216,7 +215,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION intersection2DCartEdge
 
-    !Calculates a random position in edge
+    !Calculate a random position in edge
     FUNCTION randPosEdge(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
@@ -237,7 +236,7 @@ MODULE moduleMesh2DCart
 
     !VOLUME FUNCTIONS
     !QUAD FUNCTIONS
-    !Inits quadrilateral element
+    !Init element
     SUBROUTINE initCellQuad2DCart(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
@@ -268,11 +267,7 @@ MODULE moduleMesh2DCart
       self%y  = (/r1(2), r2(2), r3(2), r4(2)/)
 
       !Assign node volume
-      CALL self%area()
-      self%n1%v = self%n1%v + self%arNodes(1)
-      self%n2%v = self%n2%v + self%arNodes(2)
-      self%n3%v = self%n3%v + self%arNodes(3)
-      self%n4%v = self%n4%v + self%arNodes(4)
+      CALL self%vol()
 
       CALL OMP_INIT_LOCK(self%lock)
 
@@ -303,19 +298,19 @@ MODULE moduleMesh2DCart
       REAL(8):: Xi(1:3)
       REAL(8):: fPsi(1:4)
 
-      Xi    = 0.D0
       Xi(1) = random(-1.D0, 1.D0)
       Xi(2) = random(-1.D0, 1.D0)
+      Xi(3) = 0.D0
 
       fPsi = self%fPsi(Xi, 4)
 
-      r    = 0.D0
       r(1) = DOT_PRODUCT(fPsi, self%x)
       r(2) = DOT_PRODUCT(fPsi, self%y)
+      r(3) = 0.D0
 
     END FUNCTION randPosCellQuad
 
-    !Computes element functions in point Xi
+    !Compute element functions in point Xi
     PURE FUNCTION fPsiQuad(Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
@@ -323,10 +318,10 @@ MODULE moduleMesh2DCart
       INTEGER, INTENT(in):: nNodes
       REAL(8):: fPsi(1:nNodes)
 
-      fPsi = (/ (1.D0-Xi(1)) * (1.D0-Xi(2)), &
-                (1.D0+Xi(1)) * (1.D0-Xi(2)), &
-                (1.D0+Xi(1)) * (1.D0+Xi(2)), &
-                (1.D0-Xi(1)) * (1.D0+Xi(2)) /)
+      fPsi = (/ (1.D0 - Xi(1)) * (1.D0 - Xi(2)), &
+                (1.D0 + Xi(1)) * (1.D0 - Xi(2)), &
+                (1.D0 + Xi(1)) * (1.D0 + Xi(2)), &
+                (1.D0 - Xi(1)) * (1.D0 + Xi(2)) /)
 
       fPsi    = fPsi * 0.25D0
 
@@ -417,7 +412,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION gatherMFQuad
 
-    !Computes element local stiffness matrix
+    !Compute element local stiffness matrix
     PURE FUNCTION elemKQuad(self, nNodes) RESULT(localK)
       IMPLICIT NONE
 
@@ -427,7 +422,6 @@ MODULE moduleMesh2DCart
       REAL(8):: Xi(1:3)
       REAL(8):: dPsi(1:3, 1:4)
       REAL(8):: pDer(1:3, 1:3)
-      REAL(8):: r
       REAL(8):: invJ(1:3,1:3), detJ
       INTEGER:: l, m
 
@@ -478,7 +472,7 @@ MODULE moduleMesh2DCart
           pDer   = self%partialDer(4, dPsi)
           detJ   = self%detJac(pDer)
           fPsi = self%fPsi(Xi, 4)
-          f      = DOT_PRODUCT(fPsi,source)
+          f      = DOT_PRODUCT(fPsi, source)
           localF = localF + f*fPsi*wQuad(l)*wQuad(m)*detJ
 
          END DO
@@ -486,7 +480,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION elemFQuad
 
-    !Checks if a particle is inside a quad element
+    !Check if Xi is inside the element
     PURE FUNCTION insideQuad(Xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -498,7 +492,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION insideQuad
 
-    !Transforms physical coordinates to element coordinates
+    !Transform physical coordinates to element coordinates
     PURE FUNCTION phy2logQuad(self,r) RESULT(Xi) 
       IMPLICIT NONE
 
@@ -532,7 +526,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION phy2logQuad
 
-    !Gets the next element for a logical position Xi
+    !Get the neighbour element for a logical position Xi
     SUBROUTINE neighbourElementQuad(self, Xi, neighbourElement)
       IMPLICIT NONE
 
@@ -544,7 +538,7 @@ MODULE moduleMesh2DCart
 
       XiArray = (/ -Xi(2), Xi(1), Xi(2), -Xi(1) /)
       nextInt = MAXLOC(XiArray,1)
-      !Selects the higher value of directions and searches in that direction
+      !Select the higher value of directions and searches in that direction
       NULLIFY(neighbourElement)
       SELECT CASE (nextInt)
       CASE (1)
@@ -559,8 +553,8 @@ MODULE moduleMesh2DCart
 
     END SUBROUTINE neighbourElementQuad
 
-    !Computes element area
-    PURE SUBROUTINE areaQuad(self)
+    !Compute element volume
+    PURE SUBROUTINE volumeQuad(self)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartQuad), INTENT(inout):: self
@@ -570,22 +564,24 @@ MODULE moduleMesh2DCart
       REAL(8):: dPsi(1:3, 1:4), pDer(1:3, 1:3)
 
       self%volume  = 0.D0
-      self%arNodes = 0.D0
       !2D 1 point Gauss Quad Integral
       Xi = 0.D0
       dPsi = self%dPsi(Xi, 4)
       pDer = self%partialDer(4, dPsi)
       detJ = self%detJac(pDer)
       fPsi = self%fPsi(Xi, 4)
-      !Computes total volume of the cell
-      self%volume  =      detJ
-      !Computes volume per node
-      self%arNodes = fPsi*detJ
+      !Compute total volume of the cell
+      self%volume  = detJ*4.D0
+      !Compute volume per node
+      self%n1%v = self%n1%v + fPsi(1)*self%volume
+      self%n2%v = self%n2%v + fPsi(2)*self%volume
+      self%n3%v = self%n3%v + fPsi(3)*self%volume
+      self%n4%v = self%n4%v + fPsi(4)*self%volume
 
-    END SUBROUTINE areaQuad
+    END SUBROUTINE volumeQuad
 
-    !TRIA ELEMENT
-    !Init tria element
+    !TRIA FUNCTIONS
+    !Init element
     SUBROUTINE initCellTria2DCart(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
@@ -613,10 +609,7 @@ MODULE moduleMesh2DCart
       self%x  = (/r1(1), r2(1), r3(1)/)
       self%y  = (/r1(2), r2(2), r3(2)/)
       !Assign node volume
-      CALL self%area()
-      self%n1%v = self%n1%v + self%arNodes(1)
-      self%n2%v = self%n2%v + self%arNodes(2)
-      self%n3%v = self%n3%v + self%arNodes(3)
+      CALL self%vol()
 
       CALL OMP_INIT_LOCK(self%lock)
 
@@ -625,7 +618,7 @@ MODULE moduleMesh2DCart
 
     END SUBROUTINE initCellTria2DCart
 
-    !Gets node indexes from triangular element
+    !Random position in cell
     PURE FUNCTION getNodesTria(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
@@ -637,7 +630,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION getNodesTria
 
-    !Random position in quadrilateral volume
+    !Random position in cell
     FUNCTION randPosCellTria(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
@@ -659,7 +652,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION randPosCellTria
 
-    !Shape functions for triangular element
+    !Compute element functions in point Xi
     PURE FUNCTION fPsiTria(Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
@@ -673,7 +666,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION fPsiTria
 
-    !Derivative element function at coordinates Xi
+    !Compute element derivative functions in point Xi
     PURE FUNCTION dPsiTria(Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
@@ -688,6 +681,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION dPsiTria
 
+    !Compute the derivatives in global coordinates
     PURE FUNCTION partialDerTria(self, nNodes, dPsi) RESULT(pDer)
       IMPLICIT NONE
 
@@ -705,6 +699,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION partialDerTria
 
+    !Gather electric field at position Xi
     PURE FUNCTION gatherEFTria(self, Xi) RESULT(array)
       IMPLICIT NONE
       CLASS(meshCell2DCartTria), INTENT(in):: self
@@ -720,6 +715,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION gatherEFTria
 
+    !Gather magnetic field at position Xi
     PURE FUNCTION gatherMFTria(self, Xi) RESULT(array)
       IMPLICIT NONE
       CLASS(meshCell2DCartTria), INTENT(in):: self
@@ -743,7 +739,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION gatherMFTria
 
-    !Computes element local stiffness matrix
+    !Compute cell local stiffness matrix
     PURE FUNCTION elemKTria(self, nNodes) RESULT(localK)
       IMPLICIT NONE
 
@@ -756,7 +752,8 @@ MODULE moduleMesh2DCart
       REAL(8):: invJ(1:3,1:3), detJ
       INTEGER:: l
 
-      localK=0.D0
+      localK = 0.D0
+
       Xi=0.D0
       !Start 2D Gauss Quad Integral
       DO l=1, 4
@@ -772,7 +769,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION elemKTria
 
-    !Computes element local source vector
+    !Compute element local source vector
     PURE FUNCTION elemFTria(self, nNodes, source) RESULT(localF)
       IMPLICIT NONE
 
@@ -787,22 +784,24 @@ MODULE moduleMesh2DCart
       INTEGER:: l
 
       localF = 0.D0
-      Xi     = 0.D0
+
+      Xi = 0.D0
       !Start 2D Gauss Quad Integral
-      DO l=1, 4
+      DO l = 1, 4
         Xi(1)  = Xi1Tria(l)
         Xi(2)  = Xi2Tria(l)
         dPsi   = self%dPsi(Xi, 3)
         pDer   = self%partialDer(3, dPsi)
         detJ   = self%detJac(pDer)
         fPsi   = self%fPsi(Xi, 3)
-        f      = DOT_PRODUCT(fPsi,source)
+        f      = DOT_PRODUCT(fPsi, source)
         localF = localF + f*fPsi*wTria(l)*detJ
 
       END DO
 
     END FUNCTION elemFTria
 
+    !Check if Xi is inside the element
     PURE FUNCTION insideTria(Xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -815,7 +814,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION insideTria
 
-    !Transforms physical coordinates to element coordinates
+    !Transform physical coordinates to element coordinates
     PURE FUNCTION phy2logTria(self,r) RESULT(Xi)
       IMPLICIT NONE
 
@@ -838,6 +837,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION phy2logTria
 
+    !Get the neighbour cell for a logical position Xi
     SUBROUTINE neighbourElementTria(self, Xi, neighbourElement)
       IMPLICIT NONE
 
@@ -861,8 +861,8 @@ MODULE moduleMesh2DCart
 
     END SUBROUTINE neighbourElementTria
 
-    !Calculates area for triangular element
-    PURE SUBROUTINE areaTria(self)
+    !Calculate volume for triangular element
+    PURE SUBROUTINE volumeTria(self)
       IMPLICIT NONE
 
       CLASS(meshCell2DCartTria), INTENT(inout):: self
@@ -872,22 +872,23 @@ MODULE moduleMesh2DCart
       REAL(8):: fPsi(1:3)
 
       self%volume  = 0.D0
-      self%arNodes = 0.D0
       !2D 1 point Gauss Quad Integral
       Xi = (/ 1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
       dPsi = self%dPsi(Xi, 3)
       pDer = self%partialDer(3, dPsi)
       detJ = self%detJac(pDer)
-      fPsi = self%fPsi(Xi, 4)
+      fPsi = self%fPsi(Xi, 3)
       !Computes total volume of the cell
-      self%volume  =      detJ
+      self%volume  = detJ
       !Computes volume per node
-      self%arNodes = fPsi*detJ
+      self%n1%v = self%n1%v + fPsi(1)*self%volume
+      self%n2%v = self%n2%v + fPsi(2)*self%volume
+      self%n3%v = self%n3%v + fPsi(3)*self%volume
 
-    END SUBROUTINE areaTria
+    END SUBROUTINE volumeTria
 
     !COMMON FUNCTIONS FOR CARTESIAN VOLUME ELEMENTS IN 2D
-    !Computes element Jacobian determinant
+    !Compute element Jacobian determinant
     PURE FUNCTION detJ2DCart(pDer) RESULT(dJ)
       IMPLICIT NONE
 
@@ -898,7 +899,7 @@ MODULE moduleMesh2DCart
 
     END FUNCTION detJ2DCart
 
-    !Computes element Jacobian inverse matrix (without determinant)
+    !Compute element Jacobian inverse matrix (without determinant)
     PURE FUNCTION invJ2DCart(pDer) RESULT(invJ)
       IMPLICIT NONE
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index d9a7f32..c2b0674 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -47,7 +47,6 @@ MODULE moduleMesh2DCyl
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL(), n4 => NULL()
     !Connectivity to adjacent elements
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
-    REAL(8):: arNodes(1:4) = 0.D0
 
     CONTAINS
       !meshCell DEFERRED PROCEDURES
@@ -67,7 +66,7 @@ MODULE moduleMesh2DCyl
       PROCEDURE, PASS::   phy2log             => phy2logQuad
       PROCEDURE, PASS::   neighbourElement    => neighbourElementQuad
       !PARTICLUAR PROCEDURES
-      PROCEDURE, PASS, PRIVATE:: area => areaQuad
+      PROCEDURE, PASS, PRIVATE:: vol => volumeQuad
 
   END TYPE meshCell2DCylQuad
 
@@ -79,7 +78,6 @@ MODULE moduleMesh2DCyl
     CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL()
     !Connectivity to adjacent elements
     CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL()
-    REAL(8):: arNodes(1:3) = 0.D0
 
     CONTAINS
       !meshCell DEFERRED PROCEDURES
@@ -99,13 +97,13 @@ MODULE moduleMesh2DCyl
       PROCEDURE, PASS::   phy2log             => phy2logTria
       PROCEDURE, PASS::   neighbourElement    => neighbourElementTria
       !PARTICULAR PROCEDURES
-      PROCEDURE, PASS, PRIVATE:: area => areaTria
+      PROCEDURE, PASS, PRIVATE:: vol => volumeTria
 
   END TYPE meshCell2DCylTria
 
   CONTAINS
     !NODE FUNCTIONS
-    !Inits node element
+    !Init node element
     SUBROUTINE initNode2DCyl(self, n, r)
       USE moduleSpecies
       USE moduleRefParam
@@ -141,7 +139,7 @@ MODULE moduleMesh2DCyl
     END FUNCTION getCoord2DCyl
 
     !EDGE FUNCTIONS
-    !Inits edge element
+    !Init edge element
     SUBROUTINE initEdge2DCyl(self, n, p, bt, physicalSurface)
       USE moduleSpecies
       USE moduleBoundary
@@ -198,6 +196,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION getNodes2DCyl
 
+    !Calculate intersection between position and edge
     PURE FUNCTION intersection2DCylEdge(self, r0) RESULT(r)
       IMPLICIT NONE
 
@@ -216,15 +215,15 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION intersection2DCylEdge
 
-    !Calculates a random position in edge
+    !Calculate a random position in edge
     FUNCTION randPosEdge(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
 
       CLASS(meshEdge2DCyl), INTENT(in):: self
       REAL(8):: rnd
-      REAL(8):: dr, dz
       REAL(8):: r(1:3)
+      REAL(8):: dr, dz
 
       rnd = random()
       dr  = self%r(2) - self%r(1)
@@ -245,7 +244,7 @@ MODULE moduleMesh2DCyl
 
     !VOLUME FUNCTIONS
     !QUAD FUNCTIONS
-    !Inits quadrilateral element
+    !Init element
     SUBROUTINE initCellQuad2DCyl(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
@@ -276,11 +275,7 @@ MODULE moduleMesh2DCyl
       self%r  = (/r1(2), r2(2), r3(2), r4(2)/)
 
       !Assign node volume
-      CALL self%area()
-      self%n1%v = self%n1%v + self%arNodes(1)
-      self%n2%v = self%n2%v + self%arNodes(2)
-      self%n3%v = self%n3%v + self%arNodes(3)
-      self%n4%v = self%n4%v + self%arNodes(4)
+      CALL self%vol()
 
       CALL OMP_INIT_LOCK(self%lock)
 
@@ -289,7 +284,7 @@ MODULE moduleMesh2DCyl
 
     END SUBROUTINE initCellQuad2DCyl
 
-    !Gets nodes from quadrilateral element
+    !Get nodes from quadrilateral element
     PURE FUNCTION getNodesQuad(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
@@ -297,7 +292,7 @@ MODULE moduleMesh2DCyl
       INTEGER, INTENT(in):: nNodes
       INTEGER:: n(1:nNodes)
 
-      n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
+      n = (/ self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
 
     END FUNCTION getNodesQuad
 
@@ -331,12 +326,12 @@ MODULE moduleMesh2DCyl
       INTEGER, INTENT(in):: nNodes
       REAL(8):: fPsi(1:nNodes)
 
-      fPsi = (/ (1.D0-Xi(1)) * (1.D0-Xi(2)), &
-                (1.D0+Xi(1)) * (1.D0-Xi(2)), &
-                (1.D0+Xi(1)) * (1.D0+Xi(2)), &
-                (1.D0-Xi(1)) * (1.D0+Xi(2)) /)
+      fPsi = (/ (1.D0 - Xi(1)) * (1.D0 - Xi(2)), &
+                (1.D0 + Xi(1)) * (1.D0 - Xi(2)), &
+                (1.D0 + Xi(1)) * (1.D0 + Xi(2)), &
+                (1.D0 - Xi(1)) * (1.D0 + Xi(2)) /)
 
-      fPsi    = fPsi*0.25D0
+      fPsi    = fPsi * 0.25D0
 
     END FUNCTION fPsiQuad
 
@@ -350,15 +345,15 @@ MODULE moduleMesh2DCyl
 
       dPsi = 0.D0
 
-      dPsi(1,:) = (/ -(1.D0 - Xi(2)), &
-                      (1.D0 - Xi(2)), &
-                      (1.D0 + Xi(2)), &
-                     -(1.D0 + Xi(2)) /)
+      dPsi(1, 1:4) = (/ -(1.D0 - Xi(2)), &
+                         (1.D0 - Xi(2)), &
+                         (1.D0 + Xi(2)), &
+                        -(1.D0 + Xi(2)) /)
 
-      dPsi(2,:) = (/ -(1.D0 - Xi(1)), &
-                     -(1.D0 + Xi(1)), &
-                      (1.D0 + Xi(1)), &
-                      (1.D0 - Xi(1)) /)
+      dPsi(2, 1:4) = (/ -(1.D0 - Xi(1)), &
+                        -(1.D0 + Xi(1)), &
+                         (1.D0 + Xi(1)), &
+                         (1.D0 - Xi(1)) /)
 
       dPsi = dPsi * 0.25D0
 
@@ -379,6 +374,7 @@ MODULE moduleMesh2DCyl
                         DOT_PRODUCT(dPsi(2,1:4),self%z(1:4)) /)
       pDer(2, 1:2) = (/ DOT_PRODUCT(dPsi(1,1:4),self%r(1:4)), &
                         DOT_PRODUCT(dPsi(2,1:4),self%r(1:4)) /)
+      pDer(3,3) = 1.D0
 
     END FUNCTION partialDerQuad
 
@@ -439,10 +435,11 @@ MODULE moduleMesh2DCyl
       REAL(8):: invJ(1:3,1:3), detJ
       INTEGER:: l, m
 
-      localK=0.D0
-      Xi=0.D0
+      localK = 0.D0
+
+      Xi = 0.D0
       !Start 2D Gauss Quad Integral
-      DO l=1, 3
+      DO l = 1, 3
         Xi(2) = corQuad(l)
         DO m = 1, 3
           Xi(1)  = corQuad(m)
@@ -479,8 +476,9 @@ MODULE moduleMesh2DCyl
       INTEGER:: l, m
 
       localF = 0.D0
-      Xi     = 0.D0
-      DO l=1, 3
+
+      Xi = 0.D0
+      DO l = 1, 3
         Xi(1) = corQuad(l)
         DO m = 1, 3
           Xi(2)  = corQuad(m)
@@ -489,7 +487,7 @@ MODULE moduleMesh2DCyl
           detJ   = self%detJac(pDer)
           fPsi = self%fPsi(Xi, 4)
           r      = DOT_PRODUCT(fPsi, self%r)
-          f      = DOT_PRODUCT(fPsi,source)
+          f      = DOT_PRODUCT(fPsi, source)
           localF = localF + r*f*fPsi*wQuad(l)*wQuad(m)*detJ
 
          END DO
@@ -498,7 +496,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION elemFQuad
 
-    !Checks if a particle is inside a quad element
+    !Checks if Xi is inside the element
     PURE FUNCTION insideQuad(Xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -510,7 +508,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION insideQuad
 
-    !Transforms physical coordinates to element coordinates
+    !Transform physical coordinates to element coordinates
     PURE FUNCTION phy2logQuad(self,r) RESULT(Xi) 
       IMPLICIT NONE
 
@@ -544,7 +542,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION phy2logQuad
 
-    !Get the next element for a logical position Xi
+    !Get the neighbour element for a logical position Xi
     SUBROUTINE neighbourElementQuad(self, Xi, neighbourElement)
       IMPLICIT NONE
 
@@ -571,8 +569,8 @@ MODULE moduleMesh2DCyl
 
     END SUBROUTINE neighbourElementQuad
 
-    !Computes element area
-    PURE SUBROUTINE areaQuad(self)
+    !Compute element volume
+    PURE SUBROUTINE volumeQuad(self)
       USE moduleConstParam, ONLY: PI8
       IMPLICIT NONE
 
@@ -584,34 +582,33 @@ MODULE moduleMesh2DCyl
       REAL(8):: dPsi(1:3, 1:4), pDer(1:3, 1:3)
 
       self%volume  = 0.D0
-      self%arNodes = 0.D0
       !2D 1 point Gauss Quad Integral
       Xi = 0.D0
       dPsi = self%dPsi(Xi, 4)
       pDer = self%partialDer(4, dPsi)
       detJ = self%detJac(pDer)
       fPsi = self%fPsi(Xi, 4)
-      !Computes total volume of the cell
       r = DOT_PRODUCT(fPsi,self%r)
+      !Computes total volume of the cell
       self%volume  = r*detJ*PI8 !4*2*pi
       !Computes volume per node
       Xi = (/-5.D-1, -5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
-      self%arNodes(1) = fPsi(1)*self%volume
+      self%n1%v = self%n1%v + fPsi(1)*r*detJ*PI8
       Xi = (/ 5.D-1, -5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
-      self%arNodes(2) = fPsi(2)*self%volume
+      self%n2%v = self%n2%v + fPsi(2)*r*detJ*PI8
       Xi = (/ 5.D-1,  5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
-      self%arNodes(3) = fPsi(3)*self%volume
+      self%n3%v = self%n3%v + fPsi(3)*r*detJ*PI8
       Xi = (/-5.D-1,  5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
-      self%arNodes(4) = fPsi(4)*self%volume
+      self%n4%v = self%n4%v + fPsi(4)*r*detJ*PI8
 
-    END SUBROUTINE areaQuad
+    END SUBROUTINE volumeQuad
 
-    !TRIA ELEMENT
-    !Init tria element
+    !TRIA FUNCTIONS
+    !Init element
     SUBROUTINE initCellTria2DCyl(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
@@ -639,10 +636,7 @@ MODULE moduleMesh2DCyl
       self%z  = (/r1(1), r2(1), r3(1)/)
       self%r  = (/r1(2), r2(2), r3(2)/)
       !Assign node volume
-      CALL self%area()
-      self%n1%v = self%n1%v + self%arNodes(1)
-      self%n2%v = self%n2%v + self%arNodes(2)
-      self%n3%v = self%n3%v + self%arNodes(3)
+      CALL self%vol()
 
       CALL OMP_INIT_LOCK(self%lock)
 
@@ -651,7 +645,7 @@ MODULE moduleMesh2DCyl
 
     END SUBROUTINE initCellTria2DCyl
 
-    !Gets node indexes from triangular element
+    !Random position in cell
     PURE FUNCTION getNodesTria(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
@@ -663,7 +657,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION getNodesTria
 
-    !Random position in quadrilateral volume
+    !Random position in cell
     FUNCTION randPosCellTria(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
@@ -685,7 +679,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION randPosCellTria
 
-    !Shape functions for triangular element
+    !Compute element functions in point Xi
     PURE FUNCTION fPsiTria(Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
@@ -699,7 +693,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION fPsiTria
 
-    !Derivative element function at coordinates Xi
+    !Compute element derivative functions in point Xi
     PURE FUNCTION dPsiTria(Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
@@ -714,6 +708,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION dPsiTria
 
+    !Compute the derivatives in global coordinates
     PURE FUNCTION partialDerTria(self, nNodes, dPsi) RESULT(pDer)
       IMPLICIT NONE
 
@@ -731,6 +726,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION partialDerTria
 
+    !Gather electric field at position Xi
     PURE FUNCTION gatherEFTria(self, Xi) RESULT(array)
       IMPLICIT NONE
       CLASS(meshCell2DCylTria), INTENT(in):: self
@@ -746,6 +742,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION gatherEFTria
 
+    !Gather magnetic field at position Xi
     PURE FUNCTION gatherMFTria(self, Xi) RESULT(array)
       IMPLICIT NONE
       CLASS(meshCell2DCylTria), INTENT(in):: self
@@ -769,7 +766,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION gatherMFTria
 
-    !Computes element local stiffness matrix
+    !Compute cell local stiffness matrix
     PURE FUNCTION elemKTria(self, nNodes) RESULT(localK)
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
@@ -784,7 +781,8 @@ MODULE moduleMesh2DCyl
       REAL(8):: invJ(1:3,1:3), detJ
       INTEGER:: l
 
-      localK=0.D0
+      localK = 0.D0
+
       Xi=0.D0
       !Start 2D Gauss Quad Integral
       DO l=1, 4
@@ -802,7 +800,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION elemKTria
 
-    !Computes element local source vector
+    !Compute element local source vector
     PURE FUNCTION elemFTria(self, nNodes, source) RESULT(localF)
       USE moduleConstParam, ONLY: PI2
       IMPLICIT NONE
@@ -838,6 +836,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION elemFTria
 
+    !Check if Xi is inside the element
     PURE FUNCTION insideTria(Xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -850,7 +849,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION insideTria
 
-    !Transforms physical coordinates to element coordinates
+    !Transform physical coordinates to element coordinates
     PURE FUNCTION phy2logTria(self,r) RESULT(Xi)
       IMPLICIT NONE
 
@@ -873,6 +872,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION phy2logTria
 
+    !Get the neighbour cell for a logical position Xi
     SUBROUTINE neighbourElementTria(self, Xi, neighbourElement)
       IMPLICIT NONE
 
@@ -896,8 +896,8 @@ MODULE moduleMesh2DCyl
 
     END SUBROUTINE neighbourElementTria
 
-    !Calculates area for triangular element
-    PURE SUBROUTINE areaTria(self)
+    !Calculate volume for triangular element
+    PURE SUBROUTINE volumeTria(self)
       USE moduleConstParam, ONLY: PI
       IMPLICIT NONE
 
@@ -909,23 +909,24 @@ MODULE moduleMesh2DCyl
       REAL(8):: r
 
       self%volume  = 0.D0
-      self%arNodes = 0.D0
       !2D 1 point Gauss Quad Integral
       Xi = (/ 1.D0/3.D0, 1.D0/3.D0, 0.D0 /)
       dPsi = self%dPsi(Xi, 3)
       pDer = self%partialDer(3, dPsi)
       detJ = self%detJac(pDer)
       fPsi = self%fPsi(Xi, 3)
-      !Computes total volume of the cell
       r = DOT_PRODUCT(fPsi, self%r)
+      !Computes total volume of the cell
       self%volume  = r*detJ*PI !2PI*1/2
       !Computes volume per node
-      self%arNodes = fPsi*self%volume
+      self%n1%v = self%n1%v + fPsi(1)*self%volume
+      self%n2%v = self%n2%v + fPsi(2)*self%volume
+      self%n3%v = self%n3%v + fPsi(3)*self%volume
 
-    END SUBROUTINE areaTria
+    END SUBROUTINE volumeTria
 
     !COMMON FUNCTIONS FOR CYLINDRICAL VOLUME ELEMENTS
-    !Computes element Jacobian determinant
+    !Compute element Jacobian determinant
     PURE FUNCTION detJ2DCyl(pDer) RESULT(dJ)
       IMPLICIT NONE
 
@@ -936,7 +937,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION detJ2DCyl
 
-    !Computes element Jacobian inverse matrix (without determinant)
+    !Compute element Jacobian inverse matrix (without determinant)
     PURE FUNCTION invJ2DCyl(pDer) RESULT(invJ)
       IMPLICIT NONE
 
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index 34474cd..fcd4647 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -60,13 +60,13 @@ MODULE moduleMesh3DCart
       PROCEDURE, PASS::   phy2log             => phy2logTetra
       PROCEDURE, PASS::   neighbourElement    => neighbourElementTetra
       !PARTICULAR PROCEDURES
-      PROCEDURE, PASS, PRIVATE:: calcVol => volumeTetra
+      PROCEDURE, PASS, PRIVATE:: vol => volumeTetra
       
   END TYPE meshCell3DCartTetra
 
   CONTAINS
     !NODE FUNCTIONS
-    !Inits node element
+    !Init node element
     SUBROUTINE initNode3DCart(self, n, r)
       USE moduleSpecies
       USE moduleRefParam
@@ -102,8 +102,8 @@ MODULE moduleMesh3DCart
 
     END FUNCTION getCoord3DCart
 
-    !SURFACE FUNCTIONS
-    !Inits surface element
+    !EDGE FUNCTIONS
+    !Init surface element
     SUBROUTINE initEdge3DCartTria(self, n, p, bt, physicalSurface)
       USE moduleSpecies
       USE moduleBoundary
@@ -168,6 +168,7 @@ MODULE moduleMesh3DCart
 
     END FUNCTION getNodes3DCartTria
 
+    !Calculate intersection between position and edge
     PURE FUNCTION intersection3DCartTria(self, r0) RESULT(r)
       IMPLICIT NONE
 
@@ -186,7 +187,7 @@ MODULE moduleMesh3DCart
 
     END FUNCTION intersection3DCartTria
 
-    !Calculates a random position in the surface
+    !Calculate a random position in the surface
     FUNCTION randPosEdgeTria(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
@@ -222,7 +223,7 @@ MODULE moduleMesh3DCart
 
     !VOLUME FUNCTIONS
     !TETRA FUNCTIONS
-    !Inits tetrahedron element
+    !Init element
     SUBROUTINE initCellTetra(self, n, p, nodes)
       USE moduleRefParam
       IMPLICIT NONE
@@ -232,11 +233,14 @@ MODULE moduleMesh3DCart
       INTEGER, INTENT(in):: p(:)
       TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
       REAL(8), DIMENSION(1:3):: r1, r2, r3, r4 !Positions of each node
-      REAL(8):: Xi(1:3), fPsi(1:4)
-      REAL(8):: volNodes(1:4) !Cellume of each node
 
+      !Assign node index
       self%n  = n
+
+      !Assign number of nodes of cell
       self%nNodes = SIZE(p)
+
+      !Assign nodes to element
       self%n1 => nodes(p(1))%obj
       self%n2 => nodes(p(2))%obj
       self%n3 => nodes(p(3))%obj
@@ -251,16 +255,7 @@ MODULE moduleMesh3DCart
       self%z  = (/r1(3), r2(3), r3(3), r4(3)/)
 
       !Computes the element volume
-      CALL self%calcVol()
-
-      !Assign proportional volume to each node
-      Xi = (/0.25D0, 0.25D0, 0.25D0/)
-      fPsi = self%fPsi(Xi, 4)
-      volNodes = fPsi*self%volume
-      self%n1%v = self%n1%v + volNodes(1)
-      self%n2%v = self%n2%v + volNodes(2)
-      self%n3%v = self%n3%v + volNodes(3)
-      self%n4%v = self%n4%v + volNodes(4)
+      CALL self%vol()
 
       CALL OMP_INIT_LOCK(self%lock)
 
@@ -269,6 +264,7 @@ MODULE moduleMesh3DCart
 
     END SUBROUTINE initCellTetra
 
+    !Gets node indexes from cell
     PURE FUNCTION getNodesTetra(self, nNodes) RESULT(n)
       IMPLICIT NONE
 
@@ -280,7 +276,7 @@ MODULE moduleMesh3DCart
 
     END FUNCTION getNodesTetra
 
-    !Random position in volume tetrahedron
+    !Random position in cell
     FUNCTION randPosCellTetra(self) RESULT(r)
       USE moduleRandom
       IMPLICIT NONE
@@ -302,7 +298,7 @@ MODULE moduleMesh3DCart
 
     END FUNCTION randPosCellTetra
 
-    !Computes element functions in point Xi
+    !Compute element functions in point Xi
     PURE FUNCTION fPsiTetra(Xi, nNodes) RESULT(fPsi)
       IMPLICIT NONE
 
@@ -317,7 +313,7 @@ MODULE moduleMesh3DCart
 
     END FUNCTION fPsiTetra
 
-    !Derivative element function at coordinates Xi
+    !Compute element derivative functions in point Xi
     PURE FUNCTION dPsiTetra(Xi, nNodes) RESULT(dPsi)
       IMPLICIT NONE
 
@@ -333,7 +329,7 @@ MODULE moduleMesh3DCart
 
     END FUNCTION dPsiTetra
 
-    !Computes the derivatives in global coordinates
+    !Compute the derivatives in global coordinates
     PURE FUNCTION partialDerTetra(self, nNodes, dPsi) RESULT(pDer)
       IMPLICIT NONE
 
@@ -358,6 +354,7 @@ MODULE moduleMesh3DCart
 
     END FUNCTION partialDerTetra
 
+    !Gather electric field at position Xi
     PURE FUNCTION gatherEFTetra(self, Xi) RESULT(array)
       IMPLICIT NONE
       CLASS(meshCell3DCartTetra), INTENT(in):: self
@@ -374,6 +371,7 @@ MODULE moduleMesh3DCart
 
     END FUNCTION gatherEFTetra
 
+    !Gather magnetic field at position Xi
     PURE FUNCTION gatherMFTetra(self, Xi) RESULT(array)
       IMPLICIT NONE
       CLASS(meshCell3DCartTetra), INTENT(in):: self
@@ -400,6 +398,7 @@ MODULE moduleMesh3DCart
 
     END FUNCTION gatherMFTetra
 
+    !Compute cell local stiffness matrix
     PURE FUNCTION elemKTetra(self, nNodes) RESULT(localK)
       IMPLICIT NONE
 
@@ -424,6 +423,7 @@ MODULE moduleMesh3DCart
 
     END FUNCTION elemKTetra
 
+    !Compute element local source vector
     PURE FUNCTION elemFTetra(self, nNodes, source) RESULT(localF)
       IMPLICIT NONE
 
@@ -448,6 +448,7 @@ MODULE moduleMesh3DCart
 
     END FUNCTION elemFTetra
 
+    !Check if Xi is inside the element
     PURE FUNCTION insideTetra(Xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -461,6 +462,7 @@ MODULE moduleMesh3DCart
       
     END FUNCTION insideTetra
 
+    !Transform physical coordinates to element coordinates
     PURE FUNCTION phy2logTetra(self,r) RESULT(Xi)
       IMPLICIT NONE
 
@@ -472,6 +474,7 @@ MODULE moduleMesh3DCart
       REAL(8):: invJ(1:3, 1:3), detJ
       REAL(8):: deltaR(1:3)
 
+      !Direct method to convert coordinates
       Xi     = 0.D0
       deltaR = (/r(1) - self%x(1), r(2) - self%y(1), r(3) - self%z(1) /)
       dPsi   = self%dPsi(Xi, 4)
@@ -482,6 +485,7 @@ MODULE moduleMesh3DCart
 
     END FUNCTION phy2logTetra
     
+    !Get the neighbour cell for a logical position Xi
     SUBROUTINE neighbourElementTetra(self, Xi, neighbourElement)
       IMPLICIT NONE
 
@@ -508,25 +512,35 @@ MODULE moduleMesh3DCart
 
     END SUBROUTINE neighbourElementTetra
 
-    !Computes the element volume
+    !Calculate volume for triangular element
     PURE SUBROUTINE volumeTetra(self)
       IMPLICIT NONE
 
       CLASS(meshCell3DCartTetra), INTENT(inout):: self
       REAL(8):: Xi(1:3)
-      REAL(8):: dPsi(1:3, 1:4)
-      REAL(8):: pDer(1:3, 1:3)
+      REAL(8):: detJ
+      REAL(8):: fPsi(1:4)
+      REAL(8):: dPsi(1:3, 1:4), pDer(1:3, 1:3)
 
       self%volume = 0.D0
+      !2D 1 point Gauss Quad Integral
       Xi = (/0.25D0, 0.25D0, 0.25D0/)
       dPsi = self%dPsi(Xi, 4)
       pDer = self%partialDer(4, dPsi)
-      self%volume = self%detJac(pDer)
+      detJ = self%detJac(pDer)
+      !Computes total volume of the cell
+      self%volume = detJ
+      !Computes volume per node
+      fPsi = self%fPsi(Xi, 4)
+      self%n1%v = self%n1%v + fPsi(1)*self%volume
+      self%n2%v = self%n2%v + fPsi(2)*self%volume
+      self%n3%v = self%n3%v + fPsi(3)*self%volume
+      self%n4%v = self%n4%v + fPsi(4)*self%volume
 
     END SUBROUTINE volumeTetra
 
     !COMMON FUNCTIONS FOR CARTESIAN VOLUME ELEMENTS IN 3D
-    !Computes element Jacobian determinant
+    !Compute element Jacobian determinant
     PURE FUNCTION detJ3DCart(pDer) RESULT(dJ)
       IMPLICIT NONE
 
@@ -539,6 +553,7 @@ MODULE moduleMesh3DCart
 
     END FUNCTION detJ3DCart
 
+    !Compute element Jacobian inverse matrix (without determinant)
     PURE FUNCTION invJ3DCart(pDer) RESULT(invJ)
       IMPLICIT NONE
 
@@ -561,7 +576,37 @@ MODULE moduleMesh3DCart
 
     END FUNCTION invJ3DCart
 
-    !Selects type of elements to build connection
+    SUBROUTINE connectMesh3DCart(self)
+      IMPLICIT NONE
+
+      CLASS(meshGeneric), INTENT(inout):: self
+      INTEGER:: e, et
+
+      DO e = 1, self%numCells
+        !Connect Cell-Cell
+        DO et = 1, self%numCells
+          IF (e /= et) THEN
+            CALL connectCellCell(self%cells(e)%obj, self%cells(et)%obj)
+
+          END IF
+
+        END DO
+
+        SELECT TYPE(self)
+        TYPE IS(meshParticles)
+          !Connect Cell-Edge
+          DO et = 1, self%numEdges
+            CALL connectCellEdge(self%cells(e)%obj, self%edges(et)%obj)
+
+          END DO
+
+        END SELECT
+
+      END DO
+
+    END SUBROUTINE connectMesh3DCart
+
+    !Select type of elements to build connection
     SUBROUTINE connectCellCell(elemA, elemB)
       IMPLICIT NONE
 
@@ -601,36 +646,6 @@ MODULE moduleMesh3DCart
 
     END SUBROUTINE connectCellEdge
 
-    SUBROUTINE connectMesh3DCart(self)
-      IMPLICIT NONE
-
-      CLASS(meshGeneric), INTENT(inout):: self
-      INTEGER:: e, et
-
-      DO e = 1, self%numCells
-        !Connect Cell-Cell
-        DO et = 1, self%numCells
-          IF (e /= et) THEN
-            CALL connectCellCell(self%cells(e)%obj, self%cells(et)%obj)
-
-          END IF
-
-        END DO
-
-        SELECT TYPE(self)
-        TYPE IS(meshParticles)
-          !Connect Cell-Edge
-          DO et = 1, self%numEdges
-            CALL connectCellEdge(self%cells(e)%obj, self%edges(et)%obj)
-
-          END DO
-
-        END SELECT
-
-      END DO
-
-    END SUBROUTINE connectMesh3DCart
-
     !Checks if two sets of nodes are coincidend in any order
     PURE FUNCTION coincidentNodes(nodesA, nodesB) RESULT(coincident)
       IMPLICIT NONE
diff --git a/src/modules/mesh/inout/0D/moduleMeshInput0D.f90 b/src/modules/mesh/inout/0D/moduleMeshInput0D.f90
index 37dbf82..d968ba3 100644
--- a/src/modules/mesh/inout/0D/moduleMeshInput0D.f90
+++ b/src/modules/mesh/inout/0D/moduleMeshInput0D.f90
@@ -64,10 +64,9 @@ MODULE moduleMeshInput0D
 
     END SUBROUTINE read0D
 
-    SUBROUTINE readInitial0D(sp, filename, density, velocity, temperature)
+    SUBROUTINE readInitial0D(filename, density, velocity, temperature)
       IMPLICIT NONE
 
-      INTEGER, INTENT(in):: sp
       CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
       REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: density
       REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:,:):: velocity
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index aae2216..ae1fe05 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -321,10 +321,9 @@ MODULE moduleMeshInputGmsh2
     END SUBROUTINE readGmsh2
 
     !Reads the initial information from an output file for an species
-    SUBROUTINE readInitialGmsh2(sp, filename, density, velocity, temperature)
+    SUBROUTINE readInitialGmsh2(filename, density, velocity, temperature)
       IMPLICIT NONE
 
-      INTEGER, INTENT(in):: sp
       CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
       REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: density
       REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:,:):: velocity
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 97ce691..f15f880 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -356,8 +356,7 @@ MODULE moduleMesh
 
     END SUBROUTINE readMesh_interface
 
-    SUBROUTINE readInitial_interface(sp, filename, density, velocity, temperature)
-      INTEGER, INTENT(in):: sp
+    SUBROUTINE readInitial_interface(filename, density, velocity, temperature)
       CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
       REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: density
       REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:,:):: velocity
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 713c091..517835e 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -159,8 +159,8 @@ MODULE moduleMeshBoundary
             newElectron%vol = part%vol
             newIon%vol      = part%vol
 
-            newElectron%xi = mesh%cells(part%vol)%obj%phy2log(newElectron%r)
-            newIon%xi      = newElectron%xi
+            newElectron%Xi = mesh%cells(part%vol)%obj%phy2log(newElectron%r)
+            newIon%Xi      = newElectron%Xi
 
             newElectron%weight = part%weight
             newIon%weight      = newElectron%weight
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index 224bfbb..ccca930 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -111,13 +111,13 @@ MODULE moduleCollisions
       IMPLICIT NONE
 
       REAL(8):: n(1:3)
-      REAL(8):: cosXii, sinXii, eps
+      REAL(8):: cosXi, sinXi, eps
 
-      cosXii = random(-1.D0, 1.D0)
-      sinXii = DSQRT(1.D0 - cosXii**2)
+      cosXi = random(-1.D0, 1.D0)
+      sinXi = DSQRT(1.D0 - cosXi**2)
       eps    = random(0.D0, PI2)
 
-      n = (/ cosXii, sinXii*DCOS(eps), sinXii*DSIN(eps) /)
+      n = (/ cosXi, sinXi*DCOS(eps), sinXi*DSIN(eps) /)
 
     END FUNCTION randomDirectionVHS
 
diff --git a/src/modules/moduleSpecies.f90 b/src/modules/moduleSpecies.f90
index d19ff28..ca7858c 100644
--- a/src/modules/moduleSpecies.f90
+++ b/src/modules/moduleSpecies.f90
@@ -40,7 +40,7 @@ MODULE moduleSpecies
     CLASS(speciesGeneric), POINTER:: species !Pointer to species associated with this particle
     INTEGER:: vol !Index of element in which the particle is located
     INTEGER:: volColl !Index of element in which the particle is located in the Collision Mesh
-    REAL(8):: xi(1:3) !Logical coordinates of particle in element e_p.
+    REAL(8):: Xi(1:3) !Logical coordinates of particle in element e_p.
     LOGICAL:: n_in !Flag that indicates if a particle is in the domain
     REAL(8):: weight=0.D0 !weight of particle
 

From 600480f5d53c4ce441a3080f956e1a6f1ab9246c Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 6 Jan 2023 21:37:26 +0100
Subject: [PATCH 079/203] Reduce overhead of probes

I noticed that doProbes was causing some overhead even if no probes were
being used. Now it should be fixed.
---
 src/modules/solver/moduleSolver.f90 | 15 ++++++++++++---
 1 file changed, 12 insertions(+), 3 deletions(-)

diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index 02932c9..af0a177 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -204,7 +204,10 @@ MODULE moduleSolver
       DO n = 1, partList%amount
        partNext => partCurr%next
        partArray(nStart + n) = partCurr%part
-       CALL doProbes(partArray(nStart+n))
+       IF (nProbes > 0) THEN
+         CALL doProbes(partArray(nStart+n))
+
+       END IF
        DEALLOCATE(partCurr)
        partCurr => partNext
 
@@ -270,7 +273,10 @@ MODULE moduleSolver
         IF (partInj(n)%n_in) THEN
           nn = nn + 1
           partOld(nn) = partInj(n)
-          CALL doProbes(partOld(nn))
+          IF (nProbes > 0) THEN
+            CALL doProbes(partOld(nn))
+
+          END IF
 
         END IF
 
@@ -283,7 +289,10 @@ MODULE moduleSolver
         IF (partTemp(n)%n_in) THEN
           nn = nn + 1
           partOld(nn) = partTemp(n)
-          CALL doProbes(partOld(nn))
+          IF (nProbes > 0) THEN
+            CALL doProbes(partOld(nn))
+
+          END IF
 
         END IF
 

From 22dff9ed6967d8c24353331952e59eb869b8d97e Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 6 Jan 2023 22:36:55 +0100
Subject: [PATCH 080/203] Small style correction

---
 src/modules/solver/moduleSolver.f90 | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index af0a177..4ee6e7d 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -473,9 +473,9 @@ MODULE moduleSolver
       volOld => mesh%cells(part%vol)%obj
       CALL volOld%findCell(part)
       CALL findCellColl(part)
-      volNew => mesh%cells(part%vol)%obj
       !Call the NA shcme
       IF (ASSOCIATED(self%weightingScheme)) THEN
+        volNew => mesh%cells(part%vol)%obj
         CALL self%weightingScheme(part, volOld, volNew)
 
       END IF

From 1c5b887a6d7b0221efd7fcceb072330406f0d7f4 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 7 Jan 2023 10:47:18 +0100
Subject: [PATCH 081/203] Small bugfix when testing examples

While testing the examples distributed with the code, a few errors were
found and fixed, mostly related with the K matrix in 1D geometry and
reading values from initial conditions for species.
---
 runs/1D_Cathode/inputRad.json                |  4 +-
 src/modules/init/moduleInput.f90             | 47 +++++++-------------
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 |  6 +--
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   |  8 ++--
 4 files changed, 25 insertions(+), 40 deletions(-)

diff --git a/runs/1D_Cathode/inputRad.json b/runs/1D_Cathode/inputRad.json
index 34a09ce..824c0a8 100644
--- a/runs/1D_Cathode/inputRad.json
+++ b/runs/1D_Cathode/inputRad.json
@@ -31,10 +31,10 @@
                                                 ]}
   ],
   "boundaryEM": [
-    {"name": "Cathode",  "type": "dirichlet", "potential":  0.0, "physicalSurface": 1}
+    {"name": "Cathode",  "type": "dirichlet", "potential": 0.0, "physicalSurface": 1}
   ],
   "inject": [
-    {"name": "Plasma Cat e",     "species": "Electron", "flow":  2.64e-2, "units": "A", "v": 180000.0,   "T": [ 2300.0,  2300.0,  2300.0],
+    {"name": "Plasma Cat e",     "species": "Electron", "flow":  2.64e-5, "units": "A", "v": 180000.0,   "T": [ 2300.0,  2300.0,  2300.0],
                                  "velDist": ["Maxwellian", "Maxwellian", "Maxwellian"],     "n": [ 1, 0, 0], "physicalSurface": 1}
   ],
   "solver": {
diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index ff2cc4b..60f33ec 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -331,7 +331,8 @@ MODULE moduleInput
       REAL(8), ALLOCATABLE, DIMENSION(:,:):: velocity
       INTEGER, ALLOCATABLE, DIMENSION(:):: nodes
       INTEGER:: nNodes
-      REAL(8), ALLOCATABLE, DIMENSION(:):: source, fPsi
+      REAL(8), ALLOCATABLE, DIMENSION(:)::   sourceScalar
+      REAL(8), ALLOCATABLE, DIMENSION(:,:):: sourceArray
       !Density at the volume centroid
       REAL(8):: densityCen
       !Mean velocity and temperature at particle position
@@ -361,14 +362,10 @@ MODULE moduleInput
             !Density at centroid of cell
             nNodes = mesh%cells(e)%obj%nNodes
             nodes = mesh%cells(e)%obj%getNodes(nNodes)
-            ALLOCATE(fPsi(1:nNodes))
-            fPsi = mesh%cells(e)%obj%fPsi((/0.D0, 0.D0, 0.D0/), nNodes)
-            ALLOCATE(source(1:nNodes))
-            DO j = 1, nNodes
-              source(j) = density(nodes(j))
-
-            END DO
-            densityCen = DOT_PRODUCT(fPsi, source)
+            ALLOCATE(sourceScalar(1:nNodes))
+            ALLOCATE(sourceArray(1:nNodes, 1:3))
+            sourceScalar = density(nodes)
+            densityCen = mesh%cells(e)%obj%gatherF((/ 0.D0, 0.D0, 0.D0 /), nNodes, sourceScalar)
 
             !Calculate number of particles
             nNewPart = INT(densityCen * (mesh%cells(e)%obj%volume*Vol_ref) / species(sp)%obj%weight)
@@ -380,37 +377,23 @@ MODULE moduleInput
               partNew%r       =  mesh%cells(e)%obj%randPos()
               partNew%Xi      =  mesh%cells(e)%obj%phy2log(partNew%r)
               !Get mean velocity at particle position
-              fPsi = mesh%cells(e)%obj%fPsi(partNew%Xi, nNodes)
-              DO j = 1, nNodes
-                source(j) = velocity(nodes(j), 1)
-
-              END DO
-              velocityXi(1) = DOT_PRODUCT(fPsi, source)
-              DO j = 1, nNodes
-                source(j) = velocity(nodes(j), 2)
-
-              END DO
-              velocityXi(2) = DOT_PRODUCT(fPsi, source)
-              DO j = 1, nNodes
-                source(j) = velocity(nodes(j), 3)
-
-              END DO
-              velocityXi(3) = DOT_PRODUCT(fPsi, source)
+              sourceArray(:,1) = velocity((nodes), 1)
+              sourceArray(:,2) = velocity((nodes), 2)
+              sourceArray(:,3) = velocity((nodes), 3)
 
+              velocityXi = mesh%cells(e)%obj%gatherF(partNew%Xi, nNodes, sourceArray)
               velocityXi = velocityXi / v_ref
 
               !Get temperature at particle position
-              DO j = 1, nNodes
-                source(j) = temperature(nodes(j))
-
-              END DO
-              temperatureXi = DOT_PRODUCT(fPsi, source)
+              sourceScalar = temperature(nodes)
+              temperatureXi = mesh%cells(e)%obj%gatherF(partNew%Xi, nNodes, sourceScalar)
               temperatureXi = temperatureXi / T_ref
 
               vTh = DSQRT(temperatureXi / species(sp)%obj%m)
               partNew%v(1)    = velocityXi(1) + vTh*randomMaxwellian()
               partNew%v(2)    = velocityXi(2) + vTh*randomMaxwellian()
               partNew%v(3)    = velocityXi(3) + vTh*randomMaxwellian()
+
               partNew%vol     = e
               IF (doubleMesh) THEN
                 partNew%volColl = findCellBrute(meshColl, partNew%r)
@@ -419,7 +402,9 @@ MODULE moduleInput
                 partNew%volColl = partNew%vol
 
               END IF
+
               partNew%n_in   = .TRUE.
+
               partNew%weight = species(sp)%obj%weight
 
               !Assign particle to temporal list of particles
@@ -434,7 +419,7 @@ MODULE moduleInput
 
             END DO
 
-            DEALLOCATE(source)
+            DEALLOCATE(sourceScalar, sourceArray)
 
           END DO
 
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 82f43c2..2f8b7b8 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -324,7 +324,7 @@ MODULE moduleMesh1DCart
       REAL(8):: Xi(1:3)
       REAL(8):: dPsi(1:3, 1:2)
       REAL(8):: pDer(1:3, 1:3)
-      REAL(8):: invJ(1:3,1:3), detJ
+      REAL(8):: invJ(1:3, 1:3), detJ
       INTEGER:: l
 
       localK = 0.D0
@@ -337,8 +337,8 @@ MODULE moduleMesh1DCart
         pDer   = self%partialDer(2, dPsi)
         detJ   = self%detJac(pDer)
         invJ   = self%invJac(pDer)
-        localK = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
-                                 RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
+        localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
+                                           MATMUL(invJ,dPsi))* &
                           wSeg(l)/detJ
 
       END DO
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index c8ff414..81a8864 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -326,7 +326,7 @@ MODULE moduleMesh1DRad
       REAL(8):: dPsi(1:3, 1:2)
       REAL(8):: pDer(1:3, 1:3)
       REAL(8):: r
-      REAL(8):: invJ(1:3,1:3), detJ
+      REAL(8):: invJ(1:3, 1:3), detJ
       INTEGER:: l
 
       localK = 0.D0
@@ -339,9 +339,9 @@ MODULE moduleMesh1DRad
         pDer   = self%partialDer(2, dPsi)
         detJ   = self%detJac(pDer)
         invJ   = self%invJac(pDer)
-        r      = self%gatherF(Xi, 4, self%r)
-        localK = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
-                                 RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
+        r      = self%gatherF(Xi, 2, self%r)
+        localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)), &
+                                           MATMUL(invJ,dPsi))* &
                           r*wSeg(l)/detJ
 
       END DO

From 7ce1b7a4dd446919d6b5686d80493dab334a487d Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 7 Jan 2023 12:12:37 +0100
Subject: [PATCH 082/203] Reducing overhead when no collisions are present

Particles are added to lists only if there are MCC collisions. Hopefully
this will reduce overhead when OpenMP is used and no collisions are
active.
---
 src/fpakc.f90                                | 10 ++-
 src/modules/init/moduleInput.f90             | 37 +++++----
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 | 22 +++---
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   | 22 +++---
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 |  8 +-
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   |  8 +-
 src/modules/mesh/3DCart/moduleMesh3DCart.f90 |  4 +-
 src/modules/mesh/moduleMesh.f90              | 38 ++++++----
 src/modules/mesh/moduleMeshBoundary.f90      |  6 +-
 src/modules/moduleInject.f90                 |  8 +-
 src/modules/moduleSpecies.f90                |  4 +-
 src/modules/solver/moduleSolver.f90          | 79 +++++++++++---------
 src/modules/solver/pusher/modulePusher.f90   | 10 +--
 13 files changed, 142 insertions(+), 114 deletions(-)

diff --git a/src/fpakc.f90 b/src/fpakc.f90
index 1224f53..3a8a033 100644
--- a/src/fpakc.f90
+++ b/src/fpakc.f90
@@ -74,7 +74,10 @@ PROGRAM fpakc
     tColl = omp_get_wtime()
     !$OMP END SINGLE
 
-    IF (ASSOCIATED(meshForMCC)) CALL meshForMCC%doCollisions(t)
+    IF (doMCC) THEN
+      CALL meshForMCC%doCollisions(t)
+
+    END IF
 
     !$OMP SINGLE
     tColl = omp_get_wtime() - tColl
@@ -83,7 +86,10 @@ PROGRAM fpakc
     tCoul = omp_get_wTime()
     !$OMP END SINGLE
 
-    IF (ASSOCIATED(mesh%doCoulomb)) CALL mesh%doCoulomb()
+    IF (ASSOCIATED(mesh%doCoulomb)) THEN
+      CALL mesh%doCoulomb()
+
+    END IF
 
     !$OMP SINGLE
     tCoul = omp_get_wTime() - tCoul
diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 60f33ec..81ababd 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -338,7 +338,7 @@ MODULE moduleInput
       !Mean velocity and temperature at particle position
       REAL(8):: velocityXi(1:3), temperatureXi
       INTEGER:: nNewPart = 0.D0
-      CLASS(meshCell), POINTER:: vol
+      CLASS(meshCell), POINTER:: cell
       TYPE(particle), POINTER:: partNew
       REAL(8):: vTh
       TYPE(lNode), POINTER:: partCurr, partNext
@@ -394,12 +394,12 @@ MODULE moduleInput
               partNew%v(2)    = velocityXi(2) + vTh*randomMaxwellian()
               partNew%v(3)    = velocityXi(3) + vTh*randomMaxwellian()
 
-              partNew%vol     = e
+              partNew%cell    = e
               IF (doubleMesh) THEN
-                partNew%volColl = findCellBrute(meshColl, partNew%r)
+                partNew%cellColl = findCellBrute(meshColl, partNew%r)
 
               ELSE
-                partNew%volColl = partNew%vol
+                partNew%cellColl = partNew%cell
 
               END IF
 
@@ -411,11 +411,14 @@ MODULE moduleInput
               CALL partInitial%add(partNew)
 
               !Assign particle to list in volume
-              vol => meshforMCC%cells(partNew%volColl)%obj
-              CALL OMP_SET_LOCK(vol%lock)
-              CALL vol%listPart_in(sp)%add(partNew)
-              vol%totalWeight(sp) = vol%totalWeight(sp) + partNew%weight
-              CALL OMP_UNSET_LOCK(vol%lock)
+              IF (doMCC) THEN
+                cell => meshforMCC%cells(partNew%cellColl)%obj
+                CALL OMP_SET_LOCK(cell%lock)
+                CALL cell%listPart_in(sp)%add(partNew)
+                cell%totalWeight(sp) = cell%totalWeight(sp) + partNew%weight
+                CALL OMP_UNSET_LOCK(cell%lock)
+
+              END IF
 
             END DO
 
@@ -628,7 +631,7 @@ MODULE moduleInput
       REAL(8):: energyThreshold, energyBinding
       CHARACTER(:), ALLOCATABLE:: electron
       INTEGER:: e
-      CLASS(meshCell), POINTER:: vol
+      CLASS(meshCell), POINTER:: cell
 
       !Firstly, check if the object 'interactions' exists
       CALL config%info('interactions', found)
@@ -725,17 +728,17 @@ MODULE moduleInput
 
           !Init the required arrays in each volume to account for MCC.
           DO e = 1, meshForMCC%numCells
-            vol => meshForMCC%cells(e)%obj
+            cell => meshForMCC%cells(e)%obj
 
             !Allocate Maximum cross section per collision pair and assign the initial collision rate
-            ALLOCATE(vol%sigmaVrelMax(1:nCollPairs))
-            vol%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
+            ALLOCATE(cell%sigmaVrelMax(1:nCollPairs))
+            cell%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
 
             IF (collOutput) THEN
-              ALLOCATE(vol%tallyColl(1:nCollPairs))
+              ALLOCATE(cell%tallyColl(1:nCollPairs))
               DO k = 1, nCollPairs
-                ALLOCATE(vol%tallyColl(k)%tally(1:interactionmatrix(k)%amount))
-                vol%tallyColl(k)%tally = 0
+                ALLOCATE(cell%tallyColl(k)%tally(1:interactionmatrix(k)%amount))
+                cell%tallyColl(k)%tally = 0
 
               END DO
 
@@ -892,6 +895,8 @@ MODULE moduleInput
 
       END IF
 
+      doMCC = ASSOCIATED(meshForMCC)
+
       !Get the dimension of the geometry
       CALL config%get(object // '.dimension', mesh%dimen, found)
       IF (.NOT. found) THEN
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 2f8b7b8..269f157 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -59,7 +59,7 @@ MODULE moduleMesh1DCart
       PROCEDURE, PASS::   phy2log             => phy2logSegm
       PROCEDURE, PASS::   neighbourElement    => neighbourElementSegm
       !PARTICLUAR PROCEDURES
-      PROCEDURE, PASS, PRIVATE:: vol => volumeSegm
+      PROCEDURE, PASS, PRIVATE:: calculateVolume => volumeSegm
 
   END TYPE meshCell1DCartSegm
 
@@ -193,7 +193,7 @@ MODULE moduleMesh1DCart
       self%x = (/ r1(1), r2(1) /)
 
       !Assign node volume
-      CALL self%vol()
+      CALL self%calculateVolume()
 
       CALL OMP_INIT_LOCK(self%lock)
 
@@ -419,7 +419,7 @@ MODULE moduleMesh1DCart
 
     END SUBROUTINE neighbourElementSegm
 
-    !Compute element vol
+    !Compute element volume
     PURE SUBROUTINE volumeSegm(self)
       IMPLICIT NONE
 
@@ -478,10 +478,10 @@ MODULE moduleMesh1DCart
       INTEGER:: e, et
 
       DO e = 1, self%numCells
-        !Connect Vol-Vol
+        !Connect Cell-Cell
         DO et = 1, self%numCells
           IF (e /= et) THEN
-            CALL connectVolVol(self%cells(e)%obj, self%cells(et)%obj)
+            CALL connectCellCell(self%cells(e)%obj, self%cells(et)%obj)
 
           END IF
 
@@ -489,9 +489,9 @@ MODULE moduleMesh1DCart
 
         SELECT TYPE(self)
         TYPE IS(meshParticles)
-          !Connect Vol-Edge
+          !Connect Cell-Edge
           DO et = 1, self%numEdges
-            CALL connectVolEdge(self%cells(e)%obj, self%edges(et)%obj)
+            CALL connectCellEdge(self%cells(e)%obj, self%edges(et)%obj)
 
           END DO
 
@@ -501,7 +501,7 @@ MODULE moduleMesh1DCart
 
     END SUBROUTINE connectMesh1DCart
 
-    SUBROUTINE connectVolVol(elemA, elemB)
+    SUBROUTINE connectCellCell(elemA, elemB)
       IMPLICIT NONE
 
       CLASS(meshCell), INTENT(inout):: elemA
@@ -517,7 +517,7 @@ MODULE moduleMesh1DCart
 
         END SELECT
 
-    END SUBROUTINE connectVolVol
+    END SUBROUTINE connectCellCell
 
     SUBROUTINE connectSegmSegm(elemA, elemB)
       IMPLICIT NONE
@@ -542,7 +542,7 @@ MODULE moduleMesh1DCart
 
     END SUBROUTINE connectSegmSegm
 
-    SUBROUTINE connectVolEdge(elemA, elemB)
+    SUBROUTINE connectCellEdge(elemA, elemB)
       IMPLICIT NONE
 
       CLASS(meshCell),  INTENT(inout):: elemA
@@ -558,7 +558,7 @@ MODULE moduleMesh1DCart
 
       END SELECT
 
-    END SUBROUTINE connectVolEdge
+    END SUBROUTINE connectCellEdge
 
     SUBROUTINE connectSegmEdge(elemA, elemB)
       IMPLICIT NONE
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index 81a8864..d998267 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -59,7 +59,7 @@ MODULE moduleMesh1DRad
       PROCEDURE, PASS::   phy2log             => phy2logSegm
       PROCEDURE, PASS::   neighbourElement    => neighbourElementSegm
       !PARTICLUAR PROCEDURES
-      PROCEDURE, PASS, PRIVATE:: vol => volumeSegm
+      PROCEDURE, PASS, PRIVATE:: calculateVolume => volumeSegm
 
   END TYPE meshCell1DRadSegm
 
@@ -193,7 +193,7 @@ MODULE moduleMesh1DRad
       self%r = (/ r1(1), r2(1) /)
 
       !Assign node volume
-      CALL self%vol()
+      CALL self%calculateVolume()
 
       CALL OMP_INIT_LOCK(self%lock)
 
@@ -427,7 +427,7 @@ MODULE moduleMesh1DRad
 
     END SUBROUTINE neighbourElementSegm
 
-    !Compute element vol
+    !Compute element volume
     PURE SUBROUTINE volumeSegm(self)
       USE moduleConstParam, ONLY: PI4
       IMPLICIT NONE
@@ -493,10 +493,10 @@ MODULE moduleMesh1DRad
       INTEGER:: e, et
 
       DO e = 1, self%numCells
-        !Connect Vol-Vol
+        !Connect Cell-Cell
         DO et = 1, self%numCells
           IF (e /= et) THEN
-            CALL connectVolVol(self%cells(e)%obj, self%cells(et)%obj)
+            CALL connectCellCell(self%cells(e)%obj, self%cells(et)%obj)
 
           END IF
 
@@ -504,9 +504,9 @@ MODULE moduleMesh1DRad
 
         SELECT TYPE(self)
         TYPE IS(meshParticles)
-          !Connect Vol-Edge
+          !Connect Cell-Edge
           DO et = 1, self%numEdges
-            CALL connectVolEdge(self%cells(e)%obj, self%edges(et)%obj)
+            CALL connectCellEdge(self%cells(e)%obj, self%edges(et)%obj)
 
           END DO
 
@@ -516,7 +516,7 @@ MODULE moduleMesh1DRad
 
     END SUBROUTINE connectMesh1DRad
 
-    SUBROUTINE connectVolVol(elemA, elemB)
+    SUBROUTINE connectCellCell(elemA, elemB)
       IMPLICIT NONE
 
       CLASS(meshCell), INTENT(inout):: elemA
@@ -532,7 +532,7 @@ MODULE moduleMesh1DRad
 
         END SELECT
 
-    END SUBROUTINE connectVolVol
+    END SUBROUTINE connectCellCell
 
     SUBROUTINE connectSegmSegm(elemA, elemB)
       IMPLICIT NONE
@@ -557,7 +557,7 @@ MODULE moduleMesh1DRad
 
     END SUBROUTINE connectSegmSegm
 
-    SUBROUTINE connectVolEdge(elemA, elemB)
+    SUBROUTINE connectCellEdge(elemA, elemB)
       IMPLICIT NONE
 
       CLASS(meshCell),  INTENT(inout):: elemA
@@ -573,7 +573,7 @@ MODULE moduleMesh1DRad
 
       END SELECT
 
-    END SUBROUTINE connectVolEdge
+    END SUBROUTINE connectCellEdge
 
     SUBROUTINE connectSegmEdge(elemA, elemB)
       IMPLICIT NONE
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index cba0cdf..c02078a 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -66,7 +66,7 @@ MODULE moduleMesh2DCart
       PROCEDURE, PASS::   phy2log             => phy2logQuad
       PROCEDURE, PASS::   neighbourElement    => neighbourElementQuad
       !PARTICLUAR PROCEDURES
-      PROCEDURE, PASS, PRIVATE:: vol => volumeQuad
+      PROCEDURE, PASS, PRIVATE:: calculateVolume => volumeQuad
 
   END TYPE meshCell2DCartQuad
 
@@ -97,7 +97,7 @@ MODULE moduleMesh2DCart
       PROCEDURE, PASS::   phy2log             => phy2logTria
       PROCEDURE, PASS::   neighbourElement    => neighbourElementTria
       !PARTICULAR PROCEDURES
-      PROCEDURE, PASS, PRIVATE:: vol => volumeTria
+      PROCEDURE, PASS, PRIVATE:: calculateVolume => volumeTria
 
   END TYPE meshCell2DCartTria
 
@@ -267,7 +267,7 @@ MODULE moduleMesh2DCart
       self%y  = (/r1(2), r2(2), r3(2), r4(2)/)
 
       !Assign node volume
-      CALL self%vol()
+      CALL self%calculateVolume()
 
       CALL OMP_INIT_LOCK(self%lock)
 
@@ -609,7 +609,7 @@ MODULE moduleMesh2DCart
       self%x  = (/r1(1), r2(1), r3(1)/)
       self%y  = (/r1(2), r2(2), r3(2)/)
       !Assign node volume
-      CALL self%vol()
+      CALL self%calculateVolume()
 
       CALL OMP_INIT_LOCK(self%lock)
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index c2b0674..307f71c 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -66,7 +66,7 @@ MODULE moduleMesh2DCyl
       PROCEDURE, PASS::   phy2log             => phy2logQuad
       PROCEDURE, PASS::   neighbourElement    => neighbourElementQuad
       !PARTICLUAR PROCEDURES
-      PROCEDURE, PASS, PRIVATE:: vol => volumeQuad
+      PROCEDURE, PASS, PRIVATE:: calculateVolume => volumeQuad
 
   END TYPE meshCell2DCylQuad
 
@@ -97,7 +97,7 @@ MODULE moduleMesh2DCyl
       PROCEDURE, PASS::   phy2log             => phy2logTria
       PROCEDURE, PASS::   neighbourElement    => neighbourElementTria
       !PARTICULAR PROCEDURES
-      PROCEDURE, PASS, PRIVATE:: vol => volumeTria
+      PROCEDURE, PASS, PRIVATE:: calculateVolume => volumeTria
 
   END TYPE meshCell2DCylTria
 
@@ -275,7 +275,7 @@ MODULE moduleMesh2DCyl
       self%r  = (/r1(2), r2(2), r3(2), r4(2)/)
 
       !Assign node volume
-      CALL self%vol()
+      CALL self%calculateVolume()
 
       CALL OMP_INIT_LOCK(self%lock)
 
@@ -636,7 +636,7 @@ MODULE moduleMesh2DCyl
       self%z  = (/r1(1), r2(1), r3(1)/)
       self%r  = (/r1(2), r2(2), r3(2)/)
       !Assign node volume
-      CALL self%vol()
+      CALL self%calculateVolume()
 
       CALL OMP_INIT_LOCK(self%lock)
 
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index fcd4647..c451689 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -60,7 +60,7 @@ MODULE moduleMesh3DCart
       PROCEDURE, PASS::   phy2log             => phy2logTetra
       PROCEDURE, PASS::   neighbourElement    => neighbourElementTetra
       !PARTICULAR PROCEDURES
-      PROCEDURE, PASS, PRIVATE:: vol => volumeTetra
+      PROCEDURE, PASS, PRIVATE:: calculateVolume => volumeTetra
       
   END TYPE meshCell3DCartTetra
 
@@ -255,7 +255,7 @@ MODULE moduleMesh3DCart
       self%z  = (/r1(3), r2(3), r3(3), r4(3)/)
 
       !Computes the element volume
-      CALL self%vol()
+      CALL self%calculateVolume()
 
       CALL OMP_INIT_LOCK(self%lock)
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index f15f880..7482842 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -480,6 +480,8 @@ MODULE moduleMesh
 
   !Logical to indicate if an specific mesh for MC Collisions is used
   LOGICAL:: doubleMesh
+  !Logical to indicate if MCC collisions are performed
+  LOGICAL:: doMCC
   !Complete path for the two meshes
   CHARACTER(:), ALLOCATABLE:: pathMeshColl, pathMeshParticle
 
@@ -644,15 +646,18 @@ MODULE moduleMesh
       Xi = self%phy2log(part%r)
       !Checks if particle is inside 'self' cell
       IF (self%inside(Xi)) THEN
-        part%vol  = self%n
+        part%cell = self%n
         part%Xi   = Xi
         part%n_in = .TRUE.
         !Assign particle to listPart_in
-        CALL OMP_SET_LOCK(self%lock)
-        sp = part%species%n
-        CALL self%listPart_in(sp)%add(part)
-        self%totalWeight(sp) = self%totalWeight(sp) + part%weight
-        CALL OMP_UNSET_LOCK(self%lock)
+        IF (doMCC) THEN
+          CALL OMP_SET_LOCK(self%lock)
+          sp = part%species%n
+          CALL self%listPart_in(sp)%add(part)
+          self%totalWeight(sp) = self%totalWeight(sp) + part%weight
+          CALL OMP_UNSET_LOCK(self%lock)
+
+        END IF
 
       ELSE
         !If not, searches for a neighbour and repeats the process.
@@ -688,14 +693,14 @@ MODULE moduleMesh
 
     END SUBROUTINE findCell
 
-    !If Coll and Particle are the same, simply copy the part%vol into part%volColl
+    !If Coll and Particle are the same, simply copy the part%cell into part%cellColl
     SUBROUTINE findCellSameMesh(part)
       USE moduleSpecies
       IMPLICIT NONE
 
       TYPE(particle), INTENT(inout):: part
 
-      part%volColl = part%vol
+      part%cellColl = part%cell
 
     END SUBROUTINE findCellSameMesh
 
@@ -715,16 +720,19 @@ MODULE moduleMesh
 
       found = .FALSE.
       
-      cell => meshColl%cells(part%volColl)%obj
+      cell => meshColl%cells(part%cellColl)%obj
       DO WHILE(.NOT. found)
         Xi = cell%phy2log(part%r)
         IF (cell%inside(Xi)) THEN
-          part%volColl = cell%n
-          CALL OMP_SET_LOCK(cell%lock)
-          sp = part%species%n
-          CALL cell%listPart_in(sp)%add(part)
-          cell%totalWeight(sp) = cell%totalWeight(sp) + part%weight
-          CALL OMP_UNSET_LOCK(cell%lock)
+          part%cellColl = cell%n
+          IF (doMCC) THEN
+            CALL OMP_SET_LOCK(cell%lock)
+            sp = part%species%n
+            CALL cell%listPart_in(sp)%add(part)
+            cell%totalWeight(sp) = cell%totalWeight(sp) + part%weight
+            CALL OMP_UNSET_LOCK(cell%lock)
+
+          END IF
           found = .TRUE.
 
         ELSE
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 517835e..6120111 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -156,10 +156,10 @@ MODULE moduleMeshBoundary
             newElectron%r = edge%randPos()
             newIon%r      = newElectron%r
 
-            newElectron%vol = part%vol
-            newIon%vol      = part%vol
+            newElectron%cell = part%cell
+            newIon%cell      = part%cell
 
-            newElectron%Xi = mesh%cells(part%vol)%obj%phy2log(newElectron%r)
+            newElectron%Xi = mesh%cells(part%cell)%obj%phy2log(newElectron%r)
             newIon%Xi      = newElectron%Xi
 
             newElectron%weight = part%weight
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 050ad52..daa3846 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -285,16 +285,16 @@ MODULE moduleInject
         partInj(n)%r = randomEdge%randPos()
         !Volume associated to the edge:
         IF (ASSOCIATED(randomEdge%e1)) THEN
-          partInj(n)%vol = randomEdge%e1%n
+          partInj(n)%cell = randomEdge%e1%n
 
         ELSEIF (ASSOCIATED(randomEdge%e2)) THEN
-          partInj(n)%vol = randomEdge%e2%n
+          partInj(n)%cell = randomEdge%e2%n
 
         ELSE
           CALL criticalError("No Volume associated to edge", 'addParticles') 
 
         END IF
-        partInj(n)%volColl = randomEdge%eColl%n
+        partInj(n)%cellColl = randomEdge%eColl%n
         sp = self%species%n
 
         !Assign particle type
@@ -305,7 +305,7 @@ MODULE moduleInject
                           self%v(3)%obj%randomVel() /)
 
         !Obtain natural coordinates of particle in cell
-        partInj(n)%Xi = mesh%cells(partInj(n)%vol)%obj%phy2log(partInj(n)%r)
+        partInj(n)%Xi = mesh%cells(partInj(n)%cell)%obj%phy2log(partInj(n)%r)
         !Push new particle with the minimum time step
         CALL solver%pusher(sp)%pushParticle(partInj(n), tau(sp))
         !Assign cell to new particle
diff --git a/src/modules/moduleSpecies.f90 b/src/modules/moduleSpecies.f90
index ca7858c..ab08f08 100644
--- a/src/modules/moduleSpecies.f90
+++ b/src/modules/moduleSpecies.f90
@@ -38,8 +38,8 @@ MODULE moduleSpecies
     REAL(8):: r(1:3) !Position
     REAL(8):: v(1:3) !Velocity
     CLASS(speciesGeneric), POINTER:: species !Pointer to species associated with this particle
-    INTEGER:: vol !Index of element in which the particle is located
-    INTEGER:: volColl !Index of element in which the particle is located in the Collision Mesh
+    INTEGER:: cell !Index of element in which the particle is located
+    INTEGER:: cellColl !Index of element in which the particle is located in the Collision Mesh
     REAL(8):: Xi(1:3) !Logical coordinates of particle in element e_p.
     LOGICAL:: n_in !Flag that indicates if a particle is in the domain
     REAL(8):: weight=0.D0 !weight of particle
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index 4ee6e7d..e557495 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -43,14 +43,14 @@ MODULE moduleSolver
     END SUBROUTINE solveEM_interface
 
     !Apply nonAnalogue scheme to a particle
-    SUBROUTINE weightingScheme_interface(part, volOld, volNew)
+    SUBROUTINE weightingScheme_interface(part, cellOld, cellNew)
       USE moduleSpecies
       USE moduleMesh
       IMPLICIT NONE
 
       TYPE(particle), INTENT(inout):: part
-      CLASS(meshCell), POINTER, INTENT(in):: volOld
-      CLASS(meshCell), POINTER, INTENT(inout):: volNew
+      CLASS(meshCell), POINTER, INTENT(in):: cellOld
+      CLASS(meshCell), POINTER, INTENT(inout):: cellNew
 
     END SUBROUTINE weightingScheme_interface
 
@@ -322,31 +322,37 @@ MODULE moduleSolver
 
       !$OMP SECTION
       !Erase the list of particles inside the cell if particles have been pushed
-      DO s = 1, nSpecies
-        DO e = 1, mesh%numCells
-          IF (solver%pusher(s)%pushSpecies) THEN 
-            CALL mesh%cells(e)%obj%listPart_in(s)%erase()
-            mesh%cells(e)%obj%totalWeight(s) = 0.D0
+      IF (doMCC) THEN
+        DO s = 1, nSpecies
+          DO e = 1, mesh%numCells
+            IF (solver%pusher(s)%pushSpecies) THEN 
+              CALL mesh%cells(e)%obj%listPart_in(s)%erase()
+              mesh%cells(e)%obj%totalWeight(s) = 0.D0
 
-          END IF
+            END IF
+
+          END DO
 
         END DO
 
-      END DO
+      END IF
 
       !$OMP SECTION
       !Erase the list of particles inside the cell in coll mesh
-      DO s = 1, nSpecies
-        DO e = 1, meshColl%numCells
-          IF (solver%pusher(s)%pushSpecies) THEN 
-            CALL meshColl%cells(e)%obj%listPart_in(s)%erase()
-            meshColl%cells(e)%obj%totalWeight(s) = 0.D0
+      IF (doubleMesh) THEN
+        DO s = 1, nSpecies
+          DO e = 1, meshColl%numCells
+            IF (solver%pusher(s)%pushSpecies) THEN 
+              CALL meshColl%cells(e)%obj%listPart_in(s)%erase()
+              meshColl%cells(e)%obj%totalWeight(s) = 0.D0
 
-          END IF
+            END IF
+
+          END DO
 
         END DO
-
-      END DO
+      
+      END IF
 
       !$OMP END SECTIONS
 
@@ -368,7 +374,7 @@ MODULE moduleSolver
       !Loops over the particles to scatter them
       !$OMP DO
       DO n = 1, nPartOld
-        cell => mesh%cells(partOld(n)%vol)%obj
+        cell => mesh%cells(partOld(n)%cell)%obj
         CALL cell%scatter(cell%nNodes, partOld(n))
 
       END DO
@@ -387,28 +393,28 @@ MODULE moduleSolver
     END SUBROUTINE doEMField
 
     !Split particles as a function of cell volume and splits particle
-    SUBROUTINE volumeWScheme(part, volOld, volNew)
+    SUBROUTINE volumeWScheme(part, cellOld, cellNew)
       USE moduleSpecies
       USE moduleMesh
       USE moduleRandom
       IMPLICIT NONE
 
       TYPE(particle), INTENT(inout):: part
-      CLASS(meshCell), POINTER, INTENT(in):: volOld
-      CLASS(meshCell), POINTER, INTENT(inout):: volNew
+      CLASS(meshCell), POINTER, INTENT(in):: cellOld
+      CLASS(meshCell), POINTER, INTENT(inout):: cellNew
       REAL(8):: fractionVolume, pSplit
 
       !If particle changes volume to smaller cell
-      IF (volOld%volume > volNew%volume .AND. &
+      IF (cellOld%volume > cellNew%volume .AND. &
           part%weight >= part%species%weight*1.0D-1) THEN
-        fractionVolume = volOld%volume/volNew%volume
+        fractionVolume = cellOld%volume/cellNew%volume
 
         !Calculate probability of splitting particle
         pSplit = 1.D0 - DEXP(-fractionVolume*1.0D-1)
 
         IF (random() < pSplit) THEN
           !Split particle in two
-          CALL splitParticle(part, 2, volNew)
+          CALL splitParticle(part, 2, cellNew)
 
         END IF
 
@@ -418,7 +424,7 @@ MODULE moduleSolver
 
     !Subroutine to split the particle 'part' into a number 'nSplit' of particles.
     !'nSplit-1' particles are added to the partNAScheme list
-    SUBROUTINE splitParticle(part, nSplit, vol)
+    SUBROUTINE splitParticle(part, nSplit, cell)
       USE moduleSpecies
       USE moduleList
       USE moduleMesh
@@ -427,7 +433,7 @@ MODULE moduleSolver
 
       TYPE(particle), INTENT(inout):: part
       INTEGER, INTENT(in):: nSplit
-      CLASS(meshCell), INTENT(inout):: vol
+      CLASS(meshCell), INTENT(inout):: cell
       REAL(8):: newWeight
       TYPE(particle), POINTER:: newPart
       INTEGER:: p
@@ -449,10 +455,13 @@ MODULE moduleSolver
         CALL partWScheme%add(newPart)
         CALL partWScheme%unsetLock()
         !Add particle to cell list
-        CALL OMP_SET_lock(vol%lock)
         sp = part%species%n
-        CALL vol%listPart_in(sp)%add(newPart)
-        CALL OMP_UNSET_lock(vol%lock)
+        IF (doMCC) THEN
+          CALL OMP_SET_lock(cell%lock)
+          CALL cell%listPart_in(sp)%add(newPart)
+          CALL OMP_UNSET_lock(cell%lock)
+
+        END IF
 
       END DO
 
@@ -465,18 +474,18 @@ MODULE moduleSolver
 
       CLASS(solverGeneric), INTENT(in):: self
       TYPE(particle), INTENT(inout):: part
-      CLASS(meshCell), POINTER:: volOld, volNew
+      CLASS(meshCell), POINTER:: cellOld, cellNew
 
       !Assume that particle is outside the domain
       part%n_in = .FALSE.
 
-      volOld => mesh%cells(part%vol)%obj
-      CALL volOld%findCell(part)
+      cellOld => mesh%cells(part%cell)%obj
+      CALL cellOld%findCell(part)
       CALL findCellColl(part)
       !Call the NA shcme
       IF (ASSOCIATED(self%weightingScheme)) THEN
-        volNew => mesh%cells(part%vol)%obj
-        CALL self%weightingScheme(part, volOld, volNew)
+        cellNew => mesh%cells(part%cell)%obj
+        CALL self%weightingScheme(part, cellOld, cellNew)
 
       END IF
 
diff --git a/src/modules/solver/pusher/modulePusher.f90 b/src/modules/solver/pusher/modulePusher.f90
index c2aa46a..bc02912 100644
--- a/src/modules/solver/pusher/modulePusher.f90
+++ b/src/modules/solver/pusher/modulePusher.f90
@@ -23,7 +23,7 @@ MODULE modulePusher
       REAL(8):: qmEFt(1:3)
 
       !Get the electric field at particle position
-      qmEFT = mesh%cells(part%vol)%obj%gatherElectricField(part%Xi)
+      qmEFT = mesh%cells(part%cell)%obj%gatherElectricField(part%Xi)
       qmEFt = qmEFt*part%species%qm*tauMin
 
       !Update velocity
@@ -50,14 +50,14 @@ MODULE modulePusher
 
       tauInHalf = tauIn *0.5D0
       !Half of the force o f the electric field
-      qmEFT = mesh%cells(part%vol)%obj%gatherElectricField(part%Xi)
+      qmEFT = mesh%cells(part%cell)%obj%gatherElectricField(part%Xi)
       qmEFt = qmEFt*part%species%qm*tauInHalf
 
       !Half step for electrostatic
       v_minus = part%v + qmEFt
 
       !Full step rotation
-      B = mesh%cells(part%vol)%obj%gatherMagneticField(part%Xi)
+      B = mesh%cells(part%cell)%obj%gatherMagneticField(part%Xi)
       BNorm = NORM2(B)
       IF (BNorm > 0.D0) THEN
         fn = DTAN(part%species%qm * tauInHalf*BNorm) / BNorm
@@ -126,7 +126,7 @@ MODULE modulePusher
 
       part_temp = part
       !Get electric field at particle position
-      qmEFT = mesh%cells(part_temp%vol)%obj%gatherElectricField(part_temp%Xi)
+      qmEFT = mesh%cells(part_temp%cell)%obj%gatherElectricField(part_temp%Xi)
       qmEFt = qmEFt*part_temp%species%qm*tauMin
       !z
       part_temp%v(1) = part%v(1) + qmEFt(1)
@@ -202,7 +202,7 @@ MODULE modulePusher
 
       part_temp = part
       !Get electric field at particle position
-      qmEFT = mesh%cells(part_temp%vol)%obj%gatherElectricField(part_temp%Xi)
+      qmEFT = mesh%cells(part_temp%cell)%obj%gatherElectricField(part_temp%Xi)
       qmEFt = qmEFt*part_temp%species%qm*tauMin
       !r,theta
       v_p_oh_star(1) = part%v(1) + qmEFt(1)

From cca57d5ab049f6d505ce506d99f42eb69a5f96dd Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 13 Jan 2023 15:32:25 +0100
Subject: [PATCH 083/203] Incorrect tau in electrostatic pushers

During the improve performant step, an error in the electrostatic
pushers was introduced, resulting in these using the minimum time step
and not the species time step when calculating the acceleration.
---
 src/modules/solver/pusher/modulePusher.f90 | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/src/modules/solver/pusher/modulePusher.f90 b/src/modules/solver/pusher/modulePusher.f90
index bc02912..f75c733 100644
--- a/src/modules/solver/pusher/modulePusher.f90
+++ b/src/modules/solver/pusher/modulePusher.f90
@@ -24,7 +24,7 @@ MODULE modulePusher
 
       !Get the electric field at particle position
       qmEFT = mesh%cells(part%cell)%obj%gatherElectricField(part%Xi)
-      qmEFt = qmEFt*part%species%qm*tauMin
+      qmEFt = qmEFt*part%species%qm*tauIn
 
       !Update velocity
       part%v = part%v + qmEFt
@@ -127,7 +127,7 @@ MODULE modulePusher
       part_temp = part
       !Get electric field at particle position
       qmEFT = mesh%cells(part_temp%cell)%obj%gatherElectricField(part_temp%Xi)
-      qmEFt = qmEFt*part_temp%species%qm*tauMin
+      qmEFt = qmEFt*part_temp%species%qm*tauIn
       !z
       part_temp%v(1) = part%v(1) + qmEFt(1)
       part_temp%r(1) = part%r(1) + part_temp%v(1)*tauIn
@@ -203,7 +203,7 @@ MODULE modulePusher
       part_temp = part
       !Get electric field at particle position
       qmEFT = mesh%cells(part_temp%cell)%obj%gatherElectricField(part_temp%Xi)
-      qmEFt = qmEFt*part_temp%species%qm*tauMin
+      qmEFt = qmEFt*part_temp%species%qm*tauIn
       !r,theta
       v_p_oh_star(1) = part%v(1) + qmEFt(1)
       x_new = part%r(1) + v_p_oh_star(1)*tauIn

From a0dfc55a69e0cb5292790801a5b021fb67e00c34 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Fri, 3 Feb 2023 10:52:49 +0100
Subject: [PATCH 084/203] Fix an issue in assigning cells in ionization
 Boundary

This assigns the correct random cell when a particle is created from the
ionization boundary.

Also, the number of possible ionizations is reduced by one if there is a
suscesful ionization. This has no impact on the results.
---
 src/modules/mesh/moduleMeshBoundary.f90 | 13 +++++++++++--
 1 file changed, 11 insertions(+), 2 deletions(-)

diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 6120111..4f72e10 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -156,8 +156,14 @@ MODULE moduleMeshBoundary
             newElectron%r = edge%randPos()
             newIon%r      = newElectron%r
 
-            newElectron%cell = part%cell
-            newIon%cell      = part%cell
+            IF (ASSOCIATED(edge%e1)) THEN
+              newElectron%cell = edge%e1%n
+
+            ELSEIF (ASSOCIATED(edge%e2)) THEN
+              newElectron%cell = edge%e2%n
+
+            END IF
+            newIon%cell      = newElectron%cell
 
             newElectron%Xi = mesh%cells(part%cell)%obj%phy2log(newElectron%r)
             newIon%Xi      = newElectron%Xi
@@ -178,6 +184,9 @@ MODULE moduleMeshBoundary
             eRel = eRel - bound%eThreshold
             vRel = 2.D0*DSQRT(eRel)/mRel
 
+            !Reduce number of possible ionizations
+            nIonizations = nIonizations - 1
+
           END IF
 
         END DO

From bc2c29092af7830b4b0b57eb9b30205687fffa68 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Fri, 3 Feb 2023 14:03:22 +0100
Subject: [PATCH 085/203] Injection of particles from surfaces direction

Now, if no normal is provided to an injection in the input file, the
velocity direction of the particles is chosen to be the surface normal.

This allows to inject particles from curves, corners... without having
to provide a direction or declaring multiple injections.
---
 doc/user-manual/fpakc_UserManual.pdf | Bin 180981 -> 181644 bytes
 doc/user-manual/fpakc_UserManual.tex |   3 +-
 src/modules/init/moduleInput.f90     |  15 ++++++---
 src/modules/moduleInject.f90         |  46 ++++++++++++++++++---------
 4 files changed, 44 insertions(+), 20 deletions(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index 0302caf0bab2667c1bd94d4932950b9b72d0c24a..49536bf078a47bc18c9474931ed1ab9d0ad34bfb 100644
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index cbd1573..8897869 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -608,7 +608,8 @@ make
           \item \textbf{n}: Real.
                             Array dimension $3$.
                             Direction of injection.
-                            This vector is normalized to $1$.
+                            If no value is provided, the normal of the edge is used as the direction of injection.
+                            This vector is normalized to $1$ by the code.
           \item \textbf{velDist}: Character.
                                   Array dimension $3$.
                                   Type of distribution function used to obtain injected particle velocity:
diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 81ababd..0a33903 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -1140,6 +1140,7 @@ MODULE moduleInput
       CHARACTER(:), ALLOCATABLE:: name
       REAL(8):: v
       REAL(8), ALLOCATABLE:: T(:), normal(:)
+      LOGICAL:: fixDirection
       REAL(8):: flow
       CHARACTER(:), ALLOCATABLE:: units
       INTEGER:: physicalSurface
@@ -1160,11 +1161,18 @@ MODULE moduleInput
         CALL config%get(object // '.v',               v,               found)
         CALL config%get(object // '.T',               T,               found)
         CALL config%get(object // '.n',               normal,          found)
+        IF (found) THEN
+          fixDirection = .TRUE.
+        ELSE
+          fixDirection = .FALSE.
+          ALLOCATE(normal(1:3))
+          normal = 0.D0
+        END IF
         CALL config%get(object // '.flow',            flow,            found)
         CALL config%get(object // '.units',           units,           found)
         CALL config%get(object // '.physicalSurface', physicalSurface, found)
 
-        CALL inject(i)%init(i, v, normal, T, flow, units, sp, physicalSurface)
+        CALL inject(i)%init(i, v, normal, fixDirection, T, flow, units, sp, physicalSurface)
 
         CALL readVelDistr(config, inject(i), object)
         
@@ -1240,13 +1248,12 @@ MODULE moduleInput
 
         SELECT CASE(fvType)
         CASE ("Maxwellian")
-          v = inj%vMod*inj%n(i)
           T = inj%T(i)
-          CALL initVelDistMaxwellian(inj%v(i)%obj, v, t, m)
+          CALL initVelDistMaxwellian(inj%v(i)%obj, t, m)
 
         CASE ("Delta")
           v = inj%vMod*inj%n(i)
-          CALL initVelDistDelta(inj%v(i)%obj, v)
+          CALL initVelDistDelta(inj%v(i)%obj)
 
         CASE DEFAULT
           CALL criticalError("No velocity distribution type " // fvType // " defined", 'readVelDistr')
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index daa3846..9a8e76f 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -29,7 +29,6 @@ MODULE moduleInject
 
   !Maxwellian distribution function
   TYPE, EXTENDS(velDistGeneric):: velDistMaxwellian
-    REAL(8):: v !Velocity
     REAL(8):: vTh !Thermal Velocity
     CONTAINS
       PROCEDURE, PASS:: randomVel => randomVelMaxwellian
@@ -38,7 +37,6 @@ MODULE moduleInject
 
   !Dirac's delta distribution function
   TYPE, EXTENDS(velDistGeneric):: velDistDelta
-    REAL(8):: v !Velocity
     CONTAINS
       PROCEDURE, PASS:: randomVel => randomVelDelta
 
@@ -51,6 +49,7 @@ MODULE moduleInject
     REAL(8):: vMod !Velocity (module)
     REAL(8):: T(1:3) !Temperature
     REAL(8):: n(1:3) !Direction of injection
+    LOGICAL:: fixDirection !The injection of particles has a fix direction defined by n
     INTEGER:: nParticles !Number of particles to introduce each time step
     CLASS(speciesGeneric), POINTER:: species !Species of injection
     INTEGER:: nEdges
@@ -69,7 +68,7 @@ MODULE moduleInject
 
   CONTAINS
     !Initialize an injection of particles
-    SUBROUTINE initInject(self, i, v, n, T, flow, units, sp, physicalSurface)
+    SUBROUTINE initInject(self, i, v, n, fixDirection, T, flow, units, sp, physicalSurface)
       USE moduleMesh
       USE moduleRefParam
       USE moduleConstParam
@@ -81,6 +80,7 @@ MODULE moduleInject
       CLASS(injectGeneric), INTENT(inout):: self
       INTEGER, INTENT(in):: i
       REAL(8), INTENT(in):: v, n(1:3), T(1:3)
+      LOGICAL, INTENT(in):: fixDirection
       INTEGER, INTENT(in):: sp, physicalSurface
       REAL(8):: tauInject
       REAL(8), INTENT(in):: flow
@@ -91,7 +91,12 @@ MODULE moduleInject
 
       self%id         =  i
       self%vMod       =  v / v_ref
-      self%n          =  n / NORM2(n)
+      IF (.NOT. fixDirection) THEN
+        self%n        =  n / NORM2(n)
+      ELSE
+        self%n        = 0.D0
+      END IF
+      self%fixDirection = fixDirection
       self%T          =  T / T_ref
       self%species    => species(sp)%obj
       tauInject = tau(self%species%n)
@@ -197,23 +202,22 @@ MODULE moduleInject
 
     END SUBROUTINE doInjects
 
-    SUBROUTINE initVelDistMaxwellian(velDist, v, T, m)
+    SUBROUTINE initVelDistMaxwellian(velDist, T, m)
       IMPLICIT NONE
 
       CLASS(velDistGeneric), ALLOCATABLE, INTENT(out):: velDist
-      REAL(8), INTENT(in):: v, T, m
+      REAL(8), INTENT(in):: T, m
 
-      velDist = velDistMaxwellian(v = v, vTh = DSQRT(T/m))
+      velDist = velDistMaxwellian(vTh = DSQRT(T/m))
 
     END SUBROUTINE initVelDistMaxwellian
 
-    SUBROUTINE initVelDistDelta(velDist, v)
+    SUBROUTINE initVelDistDelta(velDist)
       IMPLICIT NONE
 
       CLASS(velDistGeneric), ALLOCATABLE, INTENT(out):: velDist
-      REAL(8), INTENT(in):: v
 
-      velDist = velDistDelta(v = v)
+      velDist = velDistDelta()
 
     END SUBROUTINE initVelDistDelta
 
@@ -226,7 +230,7 @@ MODULE moduleInject
       REAL(8):: v
       v = 0.D0
 
-      v = self%v + self%vTh*randomMaxwellian()
+      v = self%vTh*randomMaxwellian()
 
     END FUNCTION randomVelMaxwellian
 
@@ -237,7 +241,7 @@ MODULE moduleInject
       CLASS(velDistDelta), INTENT(in):: self
       REAL(8):: v
 
-      v = self%v
+      v = 0.D0
 
     END FUNCTION randomVelDelta
 
@@ -256,6 +260,7 @@ MODULE moduleInject
       INTEGER:: i
       INTEGER:: n, sp
       CLASS(meshEdge), POINTER:: randomEdge
+      REAL(8):: direction(1:3)
 
       !Insert particles
       !$OMP SINGLE
@@ -300,9 +305,20 @@ MODULE moduleInject
         !Assign particle type
         partInj(n)%species => self%species
 
-        partInj(n)%v = (/ self%v(1)%obj%randomVel(), &
-                          self%v(2)%obj%randomVel(), &
-                          self%v(3)%obj%randomVel() /)
+        IF (self%fixDirection) THEN
+          direction = self%n
+
+        ELSE
+          direction = randomEdge%normal
+
+        END IF
+
+        partInj(n)%v = self%vMod*direction +  (/ self%v(1)%obj%randomVel(), &
+                                                 self%v(2)%obj%randomVel(), &
+                                                 self%v(3)%obj%randomVel() /)
+
+        print *, direction
+        print*, partInj(n)%v
 
         !Obtain natural coordinates of particle in cell
         partInj(n)%Xi = mesh%cells(partInj(n)%cell)%obj%phy2log(partInj(n)%r)

From 6c34dd8a05d4c9e0980fdaa9d1bc4bb0cb03cc3a Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Fri, 3 Feb 2023 15:11:36 +0100
Subject: [PATCH 086/203] Forgot to remove some print statements

It is okay now. Sorry.
---
 src/modules/moduleInject.f90 | 3 ---
 1 file changed, 3 deletions(-)

diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 9a8e76f..e49fb04 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -317,9 +317,6 @@ MODULE moduleInject
                                                  self%v(2)%obj%randomVel(), &
                                                  self%v(3)%obj%randomVel() /)
 
-        print *, direction
-        print*, partInj(n)%v
-
         !Obtain natural coordinates of particle in cell
         partInj(n)%Xi = mesh%cells(partInj(n)%cell)%obj%phy2log(partInj(n)%r)
         !Push new particle with the minimum time step

From aca84d631228b0837fe848fe59ff92ef59432eb1 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Fri, 3 Feb 2023 20:14:53 +0100
Subject: [PATCH 087/203] First output in VTU format

Testing new VTU format.

For now, species information is ALWAYS output in .vtu (to test, this will
    be an independent format in the future).
A .pvd file is produced to do time-series.

Still to implement other outputs (electromagnetic, average,
    collisions...)

Still to implement reading a mesh from .vtu file
---
 src/makefile                                  |   1 +
 src/modules/makefile                          |   2 +-
 src/modules/mesh/inout/makefile               |   5 +-
 src/modules/mesh/inout/vtk/makefile           |   7 +
 .../mesh/inout/vtk/moduleMeshInputVTK.f90     |   3 +
 .../mesh/inout/vtk/moduleMeshOutputVTK.f90    | 224 ++++++++++++++++++
 src/modules/solver/moduleSolver.f90           |   2 +
 7 files changed, 242 insertions(+), 2 deletions(-)
 create mode 100644 src/modules/mesh/inout/vtk/makefile
 create mode 100644 src/modules/mesh/inout/vtk/moduleMeshInputVTK.f90
 create mode 100644 src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90

diff --git a/src/makefile b/src/makefile
index 2a421f8..32c6569 100644
--- a/src/makefile
+++ b/src/makefile
@@ -5,6 +5,7 @@ OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/module
 			  	$(OBJDIR)/moduleCollisions.o $(OBJDIR)/moduleTable.o $(OBJDIR)/moduleParallel.o \
 			  	$(OBJDIR)/moduleEM.o $(OBJDIR)/moduleRandom.o $(OBJDIR)/moduleMath.o \
 					$(OBJDIR)/moduleProbe.o $(OBJDIR)/moduleAverage.o \
+			  	$(OBJDIR)/moduleMeshInputVTK.o $(OBJDIR)/moduleMeshOutputVTK.o \
 			  	$(OBJDIR)/moduleMeshInputGmsh2.o $(OBJDIR)/moduleMeshOutputGmsh2.o \
 			  	$(OBJDIR)/moduleMeshInput0D.o $(OBJDIR)/moduleMeshOutput0D.o \
 			  	$(OBJDIR)/moduleMesh3DCart.o \
diff --git a/src/modules/makefile b/src/modules/makefile
index 254d015..743144f 100644
--- a/src/modules/makefile
+++ b/src/modules/makefile
@@ -11,7 +11,7 @@ common.o:
 output.o: moduleSpecies.o common.o
 	$(MAKE) -C output all
 
-mesh.o: moduleCollisions.o moduleBoundary.o output.o
+mesh.o: moduleCollisions.o moduleBoundary.o output.o common.o 
 	$(MAKE) -C mesh all
 
 solver.o: moduleSpecies.o moduleProbe.o common.o output.o mesh.o
diff --git a/src/modules/mesh/inout/makefile b/src/modules/mesh/inout/makefile
index 2f73e73..81e15bc 100644
--- a/src/modules/mesh/inout/makefile
+++ b/src/modules/mesh/inout/makefile
@@ -1,4 +1,7 @@
-all: gmsh2.o 0D.o
+all: vtk.o gmsh2.o 0D.o
+
+vtk.o:
+	$(MAKE) -C vtk all
 
 gmsh2.o:
 	$(MAKE) -C gmsh2 all
diff --git a/src/modules/mesh/inout/vtk/makefile b/src/modules/mesh/inout/vtk/makefile
new file mode 100644
index 0000000..18a13a0
--- /dev/null
+++ b/src/modules/mesh/inout/vtk/makefile
@@ -0,0 +1,7 @@
+all: moduleMeshInputVTK.o moduleMeshOutputVTK.o
+
+moduleMeshInputVTK.o: moduleMeshOutputVTK.o moduleMeshInputVTK.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
+%.o: %.f90
+	$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@
diff --git a/src/modules/mesh/inout/vtk/moduleMeshInputVTK.f90 b/src/modules/mesh/inout/vtk/moduleMeshInputVTK.f90
new file mode 100644
index 0000000..a044b4f
--- /dev/null
+++ b/src/modules/mesh/inout/vtk/moduleMeshInputVTK.f90
@@ -0,0 +1,3 @@
+MODULE moduleMeshInputVTK
+
+END MODULE moduleMeshInputVTK
diff --git a/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90 b/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90
new file mode 100644
index 0000000..efaf6e3
--- /dev/null
+++ b/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90
@@ -0,0 +1,224 @@
+MODULE moduleMeshOutputVTK
+
+  CONTAINS
+
+    SUBROUTINE writeFileHeader(self, fileID)
+      USE moduleMesh
+      IMPLICIT NONE
+
+      CLASS(meshParticles), INTENT(in):: self
+      INTEGER, INTENT(in):: fileID
+
+      WRITE(fileID,"(A)") '<?xml version="1.0"?>'
+      WRITE(fileID,"(2X, A)") '<VTKFile type="UnstructuredGrid">'
+      WRITE(fileID,"(4X, A,ES20.6E3,A)") '<UnstructuredGrid>'
+      WRITE(fileID,"(6X, A, I10, A, I10, A)") '<Piece NumberOfPoints="', self%numNodes, '" NumberOfCells="', self%numCells, '">'
+
+    END SUBROUTINE writeFileHeader
+
+    SUBROUTINE writeFileFooter(fileID)
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: fileID
+
+      WRITE(fileID,"(6X, A)") '</Piece>'
+      WRITE(fileID,"(4X, A)") '</UnstructuredGrid>'
+      WRITE(fileID,"(2X, A)") '</VTKFile>'
+
+    END SUBROUTINE writeFileFooter
+
+    FUNCTION getCellType(cell) RESULT(indexType)
+      USE moduleMesh3DCart
+      USE moduleMesh2DCyl
+      USE moduleMesh2DCart
+      USE moduleMesh1DRad
+      USE moduleMesh1DCart
+      USE moduleMesh0D
+      USE moduleErrors
+      IMPLICIT NONE
+
+      CLASS(meshCell), INTENT(in):: cell
+      INTEGER:: indexType
+      
+      indexType = 0
+
+      SELECT TYPE(cell)
+      TYPE IS(meshCell3DCartTetra)
+        indexType = 10
+
+      TYPE IS(meshCell2DCylQuad)
+        indexType = 9
+
+      TYPE IS(meshCell2DCartQuad)
+        indexType = 9
+
+      TYPE IS(meshCell2DCylTria)
+        indexType = 5
+
+      TYPE IS(meshCell2DCartTria)
+        indexType = 5
+
+      TYPE IS(meshCell1DRadSegm)
+        indexType = 3
+
+      TYPE IS(meshCell1DCartSegm)
+        indexType = 3
+
+      TYPE IS(meshCell0D)
+        indexType = 1
+
+      CLASS DEFAULT
+        CALL criticalError('Cell not valid for VTK output', 'getCellType')
+
+      END SELECT
+
+    END FUNCTION getCellType
+
+    SUBROUTINE writeFileMesh(self, fileID)
+      USE moduleMesh
+      USE moduleRefParam
+      IMPLICIT NONE
+
+      CLASS(meshParticles), INTENT(in):: self
+      INTEGER, INTENT(in):: fileID
+      CHARACTER(LEN=25):: nodeFormat
+      CHARACTER(LEN=25):: cellFormat
+      INTEGER:: e
+      INTEGER:: offset
+
+      !Write nodes coordinates
+      WRITE(fileID, "(8X, A)") '<Points>'
+      WRITE(fileID, "(10X,A)") '<DataArray type="Float32" NumberOfComponents="3" format="ascii">'
+      WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(3(ES20.6E3)))"
+      WRITE(fileID, nodeFormat) (self%nodes(e)%obj%getCoordinates()*L_ref, e = 1, self%numNodes)
+      WRITE(fileID, "(10X, A)") '</DataArray>'
+      WRITE(fileID, "(8X, A)") '</Points>'
+
+      WRITE(fileID, "(8X, A)") '<Cells>'
+      !Write nodes connectivity of each cell
+      WRITE(fileID, "(10X,A)") '<DataArray type="Int32" Name="connectivity"  format="ascii">'
+      DO e = 1, self%numCells
+        WRITE(cellFormat, "(A,I1,A)") "(",self%cells(e)%obj%nNodes,"(I10))"
+        WRITE(fileID, cellFormat, advance="no") self%cells(e)%obj%getNodes(self%cells(e)%obj%nNodes) - 1 !Array starts on 0
+
+      END DO
+      WRITE(fileID, "(10X, A)") '</DataArray>'
+      !Write offset of each cell
+      offset = 0
+      WRITE(fileID, "(10X,A)") '<DataArray type="Int32" Name="offsets"  format="ascii">'
+      DO e = 1, self%numCells
+        WRITE(cellFormat, "(A,I1,A)") "(I10)"
+        offset = offset + self%cells(e)%obj%nNodes
+        WRITE(fileID, cellFormat, advance="no") offset
+
+      END DO
+      WRITE(fileID, "(10X, A)") '</DataArray>'
+      !Write type of each cell
+      WRITE(fileID, "(10X,A)") '<DataArray type="Int32" Name="types"  format="ascii">'
+      DO e = 1, self%numCells
+        WRITE(cellFormat, "(A,I1,A)") "(I10)"
+        WRITE(fileID, cellFormat, advance="no") getCellType(self%cells(e)%obj)
+
+      END DO
+      WRITE(fileID, "(10X, A)") '</DataArray>'
+      WRITE(fileID, "(8X, A)") '</Cells>'
+
+    END SUBROUTINE writeFileMesh
+
+    SUBROUTINE writeNodeData(self, fileID, output)
+      USE moduleMesh
+      USE moduleOutput
+      IMPLICIT NONE
+
+      CLASS(meshParticles), INTENT(in):: self
+      INTEGER, INTENT(in):: fileID
+      TYPE(outputFormat):: output(1:self%numNodes)
+      CHARACTER(LEN=25):: nodeFormat
+      INTEGER:: n
+
+      WRITE(fileID,"(A)") '<PointData>'
+      WRITE(fileID,"(A)") '<DataArray type="Float64" Name="Density (m^-3)" NumberOfComponents="1">'
+      WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
+      WRITE(fileID,nodeFormat) (output(n)%density, n  = 1, self%numNodes)
+      WRITE(fileID,"(A)") '</DataArray>'
+      WRITE(fileID,"(A)") '<DataArray type="Float64" Name="Velocity (m s^-1)" NumberOfComponents="3">'
+      WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(3(ES20.6E3)))"
+      WRITE(fileID,nodeFormat) (output(n)%velocity(1:3), n  = 1, self%numNodes)
+      WRITE(fileID,"(A)") '</DataArray>'
+      WRITE(fileID,"(A)") '<DataArray type="Float64" Name="Pressure (Pa)" NumberOfComponents="1">'
+      WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
+      WRITE(fileID,nodeFormat) (output(n)%pressure, n  = 1, self%numNodes)
+      WRITE(fileID,"(A)") '</DataArray>'
+      WRITE(fileID,"(A)") '<DataArray type="Float64" Name="Temperature (K)" NumberOfComponents="1">'
+      WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
+      WRITE(fileID,nodeFormat) (output(n)%temperature, n  = 1, self%numNodes)
+      WRITE(fileID,"(A)") '</DataArray>'
+      WRITE(fileID,"(A)") '</PointData>'
+
+    END SUBROUTINE writeNodeData
+    
+    SUBROUTINE printOutputVTK(self,t)
+      USE moduleMesh
+      USE moduleRefParam
+      USE moduleSpecies
+      USE moduleOutput
+      USE moduleCaseParam
+      IMPLICIT NONE
+
+      CLASS(meshParticles), INTENT(in):: self
+      INTEGER, INTENT(in):: t
+      INTEGER:: n, i, fileID
+      CHARACTER(:), ALLOCATABLE:: fileName, fileNameCollection
+      CHARACTER (LEN=iterationDigits):: tstring
+      TYPE(outputFormat):: output(1:self%numNodes)
+
+      fileID = 60
+
+      DO i = 1, nSpecies
+        WRITE(tstring, iterationFormat) t
+        fileName= 'OUTPUT_' // tstring// '_' // species(i)%obj%name // '.vtu'
+
+        WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
+        OPEN (fileID, file = path // folder // '/' //  fileName)
+
+        fileNameCollection = 'OUTPUT_Collection_' // species(i)%obj%name // '.vtu'
+        IF (t == tInitial) THEN
+          !Create collection file
+          WRITE(*, "(6X,A15,A)") "Creating file: ", fileNameCollection
+          OPEN (fileID + 1, file = path // folder  // '/' // fileNameCollection)
+          WRITE (fileID + 1, "(A)") '<VTKFile type="Collection">'
+          WRITE (fileID + 1, "(2X, A)") '<Collection>'
+          CLOSE(fileID + 1)
+
+        END IF
+
+        OPEN (fileID + 1, file = path // folder  // '/' // fileNameCollection, ACCESS='APPEND')
+        WRITE(fileID + 1, "(4X, A, ES20.6E3, A, A, A)"), '<DataSet timestep="', t*ti_ref,'" file="', fileName,'"/>'
+
+        IF (t == tFinal) THEN
+          WRITE (fileID + 1, "(2X, A)") '</Collection>'
+          WRITE (fileID + 1, "(A)") '</VTKFile>'
+
+        END IF
+        CLOSE(fileID + 1)
+
+        CALL writeFileHeader(self, fileID)
+
+        CALL writeFileMesh(self, fileID)
+
+        DO n = 1, self%numNodes
+          CALL calculateOutput(self%nodes(n)%obj%output(i), output(n), self%nodes(n)%obj%v, species(i)%obj)
+
+        END DO
+
+        CALL writeNodeData(self, fileID, output)
+
+        CALL writeFileFooter(fileID)
+
+        CLOSE(fileID)
+
+      END DO
+
+    END SUBROUTINE printOutputVTK
+
+END MODULE moduleMeshOutputVTK
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index e557495..813aeb3 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -514,6 +514,7 @@ MODULE moduleSolver
       USE moduleSpecies
       USE moduleCompTime
       USE moduleProbe
+      USE moduleMeshOutputVTK !TEMPORARY TO TEST VTK OUTPUT
       IMPLICIT NONE
 
       INTEGER, INTENT(in):: t
@@ -527,6 +528,7 @@ MODULE moduleSolver
 
         CALL outputProbes(t)
         CALL mesh%printOutput(t)
+        CALL printOutputVTK(mesh, t)
         IF (ASSOCIATED(meshForMCC)) CALL meshForMCC%printColl(t)
         CALL mesh%printEM(t)
         WRITE(*, "(5X,A21,I10,A1,I10)") "t/tFinal: ", t, "/", tFinal

From ceab516a5b9659ba538ae0f1dd430e9d67e03b28 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sat, 4 Feb 2023 08:54:36 +0100
Subject: [PATCH 088/203] Correction on collection file

The extension of the collection file has to be .pvd so that ParaView
properly reads it.
---
 src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90 | 4 +++-
 1 file changed, 3 insertions(+), 1 deletion(-)

diff --git a/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90 b/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90
index efaf6e3..9b1a442 100644
--- a/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90
+++ b/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90
@@ -181,7 +181,7 @@ MODULE moduleMeshOutputVTK
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (fileID, file = path // folder // '/' //  fileName)
 
-        fileNameCollection = 'OUTPUT_Collection_' // species(i)%obj%name // '.vtu'
+        fileNameCollection = 'OUTPUT_Collection_' // species(i)%obj%name // '.pvd'
         IF (t == tInitial) THEN
           !Create collection file
           WRITE(*, "(6X,A15,A)") "Creating file: ", fileNameCollection
@@ -192,9 +192,11 @@ MODULE moduleMeshOutputVTK
 
         END IF
 
+        !Write iteration file in collection
         OPEN (fileID + 1, file = path // folder  // '/' // fileNameCollection, ACCESS='APPEND')
         WRITE(fileID + 1, "(4X, A, ES20.6E3, A, A, A)"), '<DataSet timestep="', t*ti_ref,'" file="', fileName,'"/>'
 
+        !Close collection file
         IF (t == tFinal) THEN
           WRITE (fileID + 1, "(2X, A)") '</Collection>'
           WRITE (fileID + 1, "(A)") '</VTKFile>'

From f1c0c5755f6922687025b8ebdd540176661a57fc Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sat, 4 Feb 2023 12:31:33 +0100
Subject: [PATCH 089/203] Collisions and EM field in .vtu

The collisions and EM field information is now available in .vtu files.
A collection file .pvd is provided per dataset for time-dependent
plotting.

Still to do:
  Write average quantities in .vtu
  Read mesh from .vtu
---
 .../mesh/inout/vtk/moduleMeshOutputVTK.f90    | 290 ++++++++++++++----
 src/modules/solver/moduleSolver.f90           |   4 +-
 2 files changed, 233 insertions(+), 61 deletions(-)

diff --git a/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90 b/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90
index 9b1a442..203de0c 100644
--- a/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90
+++ b/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90
@@ -1,22 +1,44 @@
 MODULE moduleMeshOutputVTK
 
+  CHARACTER(LEN=6):: prefix = 'OUTPUT'
+
   CONTAINS
 
-    SUBROUTINE writeFileHeader(self, fileID)
+    PURE FUNCTION formatFileName(prefix, suffix, extension, t) RESULT(fileName)
+      USE moduleOutput
+      IMPLICIT NONE
+
+      CHARACTER(*), INTENT(in):: prefix, suffix, extension
+      INTEGER, INTENT(in), OPTIONAL:: t
+      CHARACTER (LEN=iterationDigits):: tString
+      CHARACTER(:), ALLOCATABLE:: fileName
+
+      IF (PRESENT(t)) THEN
+        WRITE(tString, iterationFormat) t
+        fileName = prefix //  '_' // tString // '_' // suffix // '.' // extension
+
+      ELSE
+        fileName = prefix //  '_' // suffix // '.' // extension
+
+      END IF
+
+    END FUNCTION formatFileName
+
+    SUBROUTINE writeHeader(nNodes, nCells, fileID)
       USE moduleMesh
       IMPLICIT NONE
 
-      CLASS(meshParticles), INTENT(in):: self
+      INTEGER, INTENT(in):: nNodes, nCells
       INTEGER, INTENT(in):: fileID
 
       WRITE(fileID,"(A)") '<?xml version="1.0"?>'
       WRITE(fileID,"(2X, A)") '<VTKFile type="UnstructuredGrid">'
       WRITE(fileID,"(4X, A,ES20.6E3,A)") '<UnstructuredGrid>'
-      WRITE(fileID,"(6X, A, I10, A, I10, A)") '<Piece NumberOfPoints="', self%numNodes, '" NumberOfCells="', self%numCells, '">'
+      WRITE(fileID,"(6X, A, I10, A, I10, A)") '<Piece NumberOfPoints="', nNodes, '" NumberOfCells="', nCells, '">'
 
-    END SUBROUTINE writeFileHeader
+    END SUBROUTINE writeHeader
 
-    SUBROUTINE writeFileFooter(fileID)
+    SUBROUTINE writeFooter(fileID)
       IMPLICIT NONE
 
       INTEGER, INTENT(in):: fileID
@@ -25,7 +47,7 @@ MODULE moduleMeshOutputVTK
       WRITE(fileID,"(4X, A)") '</UnstructuredGrid>'
       WRITE(fileID,"(2X, A)") '</VTKFile>'
 
-    END SUBROUTINE writeFileFooter
+    END SUBROUTINE writeFooter
 
     FUNCTION getCellType(cell) RESULT(indexType)
       USE moduleMesh3DCart
@@ -74,12 +96,12 @@ MODULE moduleMeshOutputVTK
 
     END FUNCTION getCellType
 
-    SUBROUTINE writeFileMesh(self, fileID)
+    SUBROUTINE writeMesh(self, fileID)
       USE moduleMesh
       USE moduleRefParam
       IMPLICIT NONE
 
-      CLASS(meshParticles), INTENT(in):: self
+      CLASS(meshGeneric), INTENT(in):: self
       INTEGER, INTENT(in):: fileID
       CHARACTER(LEN=25):: nodeFormat
       CHARACTER(LEN=25):: cellFormat
@@ -123,104 +145,252 @@ MODULE moduleMeshOutputVTK
       WRITE(fileID, "(10X, A)") '</DataArray>'
       WRITE(fileID, "(8X, A)") '</Cells>'
 
-    END SUBROUTINE writeFileMesh
+    END SUBROUTINE writeMesh
 
-    SUBROUTINE writeNodeData(self, fileID, output)
+    SUBROUTINE writeSpeciesOutput(self, fileID, speciesIndex)
       USE moduleMesh
       USE moduleOutput
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self
       INTEGER, INTENT(in):: fileID
+      INTEGER, INTENT(in):: speciesIndex
       TYPE(outputFormat):: output(1:self%numNodes)
       CHARACTER(LEN=25):: nodeFormat
       INTEGER:: n
 
-      WRITE(fileID,"(A)") '<PointData>'
-      WRITE(fileID,"(A)") '<DataArray type="Float64" Name="Density (m^-3)" NumberOfComponents="1">'
+      DO n = 1, self%numNodes
+        CALL calculateOutput(self%nodes(n)%obj%output(speciesIndex), output(n), self%nodes(n)%obj%v, species(speciesIndex)%obj)
+
+      END DO
+
+      WRITE(fileID,"(8X,A)") '<PointData>'
+      WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Density (m^-3)" NumberOfComponents="1">'
       WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
       WRITE(fileID,nodeFormat) (output(n)%density, n  = 1, self%numNodes)
-      WRITE(fileID,"(A)") '</DataArray>'
-      WRITE(fileID,"(A)") '<DataArray type="Float64" Name="Velocity (m s^-1)" NumberOfComponents="3">'
+      WRITE(fileID,"(10X,A)") '</DataArray>'
+      WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Velocity (m s^-1)" NumberOfComponents="3">'
       WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(3(ES20.6E3)))"
       WRITE(fileID,nodeFormat) (output(n)%velocity(1:3), n  = 1, self%numNodes)
-      WRITE(fileID,"(A)") '</DataArray>'
-      WRITE(fileID,"(A)") '<DataArray type="Float64" Name="Pressure (Pa)" NumberOfComponents="1">'
+      WRITE(fileID,"(10X,A)") '</DataArray>'
+      WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Pressure (Pa)" NumberOfComponents="1">'
       WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
       WRITE(fileID,nodeFormat) (output(n)%pressure, n  = 1, self%numNodes)
-      WRITE(fileID,"(A)") '</DataArray>'
-      WRITE(fileID,"(A)") '<DataArray type="Float64" Name="Temperature (K)" NumberOfComponents="1">'
+      WRITE(fileID,"(10X,A)") '</DataArray>'
+      WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Temperature (K)" NumberOfComponents="1">'
       WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
       WRITE(fileID,nodeFormat) (output(n)%temperature, n  = 1, self%numNodes)
-      WRITE(fileID,"(A)") '</DataArray>'
-      WRITE(fileID,"(A)") '</PointData>'
+      WRITE(fileID,"(10X,A)") '</DataArray>'
+      WRITE(fileID,"(8X,A)") '</PointData>'
 
-    END SUBROUTINE writeNodeData
+    END SUBROUTINE writeSpeciesOutput
+
+    SUBROUTINE writeCollOutput(self,fileID)
+      USE moduleMesh
+      USE moduleCollisions
+      IMPLICIT NONE
+
+      CLASS(meshGeneric), INTENT(in):: self
+      INTEGER, INTENT(in):: fileID
+      INTEGER:: k, c, n
+      CHARACTER(:), ALLOCATABLE:: title
+      CHARACTER (LEN=2):: cString
+      CHARACTER(LEN=25):: cellFormat
+
+      WRITE(fileID,"(8X,A)") '<CellData>'
+      DO k = 1, nCollPairs
+        DO c = 1, interactionMatrix(k)%amount
+          WRITE(cString, "(I2)") c
+          title = 'Pair ' // interactionMatrix(k)%sp_i%name // '-' // interactionMatrix(k)%sp_j%name // ' collision ' // cString
+          WRITE(fileID,"(10X,A, A, A)") '<DataArray type="Float64" Name="',title, '" NumberOfComponents="1">'
+          WRITE(cellFormat, "(A,I10, A)") "(", self%numCells, "(I10))"
+          WRITE(fileID, cellFormat) (self%cells(n)%obj%tallyColl(k)%tally(c), n = 1, self%numCells)
+          WRITE(fileID, "(10X, A)") '</DataArray>'
+
+        END DO
+      END DO
+      WRITE(fileID,"(8X,A)") '</CellData>'
+
+    END SUBROUTINE writeCollOutput
+
+    SUBROUTINE writeEM(self, fileID)
+      USE moduleMesh
+      USE moduleRefParam
+      IMPLICIT NONE
+
+      CLASS(meshParticles), INTENT(in):: self
+      INTEGER, INTENT(in):: fileID
+      CHARACTER(LEN=25):: nodeFormat
+      CHARACTER(LEN=25):: cellFormat
+      INTEGER:: n
+      REAL(8):: Xi(1:3)
+
+      Xi = (/ 0.D0, 0.D0, 0.D0 /)
+
+      !Points in nodes
+      WRITE(fileID,"(8X,A)") '<PointData>'
+      !Electric potential
+      WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Potential (V)" NumberOfComponents="1">'
+      WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
+      WRITE(fileID,nodeFormat) (self%nodes(n)%obj%emData%phi*Volt_ref, n  = 1, self%numNodes)
+      WRITE(fileID,"(10X,A)") '</DataArray>'
+      !Magnetic Field
+      WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Magnetic Field (T)" NumberOfComponents="3">'
+      WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(3(ES20.6E3)))"
+      WRITE(fileID,nodeFormat) (self%nodes(n)%obj%emData%B*B_ref, n  = 1, self%numNodes)
+      WRITE(fileID,"(10X,A)") '</DataArray>'
+      WRITE(fileID,"(8X,A)") '</PointData>'
+
+      !Cell Data
+      WRITE(fileID,"(8X,A)") '<CellData>'
+      !Electric field
+      WRITE(fileID,"(10X,A, A, A)") '<DataArray type="Float64" Name="Electric Field (V m^-1)" NumberOfComponents="3">'
+      WRITE(cellFormat, "(A,I10, A)") "(", self%numCells, "(3(ES20.6E3)))"
+      WRITE(fileID, cellFormat) (self%cells(n)%obj%gatherElectricField(Xi)*EF_ref, n = 1, self%numCells)
+      WRITE(fileID,"(10X,A)") '</DataArray>'
+      WRITE(fileID,"(8X,A)") '</CellData>'
+
+    END SUBROUTINE writeEM
+
+    SUBROUTINE writeCollection(fileID, t, fileNameStep, fileNameCollection)
+      USE moduleCaseParam
+      USE moduleOutput
+      USE moduleRefParam
+      IMPLICIT NONE
+
+      INTEGER:: fileID
+      INTEGER, INTENT(in):: t
+      CHARACTER(*):: fileNameStep, fileNameCollection
+
+      IF (t == tInitial) THEN
+        !Create collection file
+        WRITE(*, "(6X,A15,A)") "Creating file: ", fileNameCollection
+        OPEN (fileID + 1, file = path // folder  // '/' // fileNameCollection)
+        WRITE (fileID + 1, "(A)") '<VTKFile type="Collection">'
+        WRITE (fileID + 1, "(2X, A)") '<Collection>'
+        CLOSE(fileID + 1)
+
+      END IF
+
+      !Write iteration file in collection
+      OPEN (fileID + 1, file = path // folder  // '/' // fileNameCollection, ACCESS='APPEND')
+      WRITE(fileID + 1, "(4X, A, ES20.6E3, A, A, A)") '<DataSet timestep="', DBLE(t)*tauMin*ti_ref,'" file="', fileNameStep,'"/>'
+
+      !Close collection file
+      IF (t == tFinal) THEN
+        WRITE (fileID + 1, "(2X, A)") '</Collection>'
+        WRITE (fileID + 1, "(A)") '</VTKFile>'
+
+      END IF
+      CLOSE(fileID + 1)
+
+    END SUBROUTINE writeCollection
     
     SUBROUTINE printOutputVTK(self,t)
       USE moduleMesh
-      USE moduleRefParam
       USE moduleSpecies
-      USE moduleOutput
-      USE moduleCaseParam
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self
       INTEGER, INTENT(in):: t
       INTEGER:: n, i, fileID
       CHARACTER(:), ALLOCATABLE:: fileName, fileNameCollection
-      CHARACTER (LEN=iterationDigits):: tstring
       TYPE(outputFormat):: output(1:self%numNodes)
 
       fileID = 60
 
       DO i = 1, nSpecies
-        WRITE(tstring, iterationFormat) t
-        fileName= 'OUTPUT_' // tstring// '_' // species(i)%obj%name // '.vtu'
-
+        fileName = formatFileName(prefix, species(i)%obj%name, 'vtu', t)
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (fileID, file = path // folder // '/' //  fileName)
 
-        fileNameCollection = 'OUTPUT_Collection_' // species(i)%obj%name // '.pvd'
-        IF (t == tInitial) THEN
-          !Create collection file
-          WRITE(*, "(6X,A15,A)") "Creating file: ", fileNameCollection
-          OPEN (fileID + 1, file = path // folder  // '/' // fileNameCollection)
-          WRITE (fileID + 1, "(A)") '<VTKFile type="Collection">'
-          WRITE (fileID + 1, "(2X, A)") '<Collection>'
-          CLOSE(fileID + 1)
+        CALL writeHeader(self%numNodes, self%numCells, fileID)
 
-        END IF
+        CALL writeMesh(self, fileID)
 
-        !Write iteration file in collection
-        OPEN (fileID + 1, file = path // folder  // '/' // fileNameCollection, ACCESS='APPEND')
-        WRITE(fileID + 1, "(4X, A, ES20.6E3, A, A, A)"), '<DataSet timestep="', t*ti_ref,'" file="', fileName,'"/>'
+        CALL writeSpeciesOutput(self, fileID, i)
 
-        !Close collection file
-        IF (t == tFinal) THEN
-          WRITE (fileID + 1, "(2X, A)") '</Collection>'
-          WRITE (fileID + 1, "(A)") '</VTKFile>'
-
-        END IF
-        CLOSE(fileID + 1)
-
-        CALL writeFileHeader(self, fileID)
-
-        CALL writeFileMesh(self, fileID)
-
-        DO n = 1, self%numNodes
-          CALL calculateOutput(self%nodes(n)%obj%output(i), output(n), self%nodes(n)%obj%v, species(i)%obj)
-
-        END DO
-
-        CALL writeNodeData(self, fileID, output)
-
-        CALL writeFileFooter(fileID)
+        CALL writeFooter(fileID)
 
         CLOSE(fileID)
 
+        !Write collection file for time plotting
+        fileNameCollection = formatFileName(prefix, 'Collection_' // species(i)%obj%name, 'pvd')
+        CALL writeCollection(fileID, t, fileName, filenameCollection)
+
       END DO
 
     END SUBROUTINE printOutputVTK
 
+    SUBROUTINE printCollVTK(self,t)
+      USE moduleMesh
+      USE moduleOutput
+      IMPLICIT NONE
+
+      CLASS(meshGeneric), INTENT(in):: self
+      INTEGER, INTENT(in):: t
+      INTEGER:: n, i, fileID
+      CHARACTER(:), ALLOCATABLE:: fileName, fileNameCollection
+      CHARACTER (LEN=iterationDigits):: tstring
+      TYPE(outputFormat):: output(1:self%numNodes)
+
+      fileID = 62
+
+      IF (collOutput) THEN
+        fileName = formatFileName(prefix, 'Collisions', 'vtu', t)
+        WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
+        OPEN (fileID, file = path // folder // '/' //  fileName)
+
+        CALL writeHeader(self%numNodes, self%numCells, fileID)
+
+        CALL writeMesh(self, fileID)
+
+        CALL writeCollOutput(self, fileID)
+
+        CALL writeFooter(fileID)
+
+        CLOSE(fileID)
+
+        !Write collection file for time plotting
+        fileNameCollection = formatFileName(prefix, 'Collection_Collisions', 'pvd')
+        CALL writeCollection(fileID, t, fileName, filenameCollection)
+
+      END IF
+
+    END SUBROUTINE printCollVTK
+
+    SUBROUTINE printEMVTK(self, t)
+      USE moduleMesh
+      IMPLICIT NONE
+
+      CLASS(meshParticles), INTENT(in):: self
+      INTEGER, INTENT(in):: t
+      INTEGER:: fileID
+      CHARACTER(:), ALLOCATABLE:: fileName, fileNameCollection
+
+      fileID = 64
+
+      IF (emOutput) THEN
+        fileName = formatFileName(prefix, 'EMField', 'vtu', t)
+        WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
+        OPEN (fileID, file = path // folder // '/' //  fileName)
+
+        CALL writeHeader(self%numNodes, self%numCells, fileID)
+
+        CALL writeMesh(self, fileID)
+
+        CALL writeEM(self, fileID)
+
+        CALL writeFooter(fileID)
+
+        CLOSE(fileID)
+
+        !Write collection file for time plotting
+        fileNameCollection = formatFileName(prefix, 'Collection_EMField', 'pvd')
+        CALL writeCollection(fileID, t, fileName, filenameCollection)
+
+      END IF
+
+    END SUBROUTINE printEMVTK
+
 END MODULE moduleMeshOutputVTK
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index 813aeb3..def5ca4 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -528,9 +528,11 @@ MODULE moduleSolver
 
         CALL outputProbes(t)
         CALL mesh%printOutput(t)
-        CALL printOutputVTK(mesh, t)
+        CALL printOutputVTK(mesh, t) !TEMPORARY TO TEST VTK OUTPUT
         IF (ASSOCIATED(meshForMCC)) CALL meshForMCC%printColl(t)
+        IF (ASSOCIATED(meshForMCC)) CALL printCollVTK(meshForMCC,t) !TEMPORARY TO TEST VTK OUTPUT
         CALL mesh%printEM(t)
+        CALL printEMVTK(mesh, t) !TEMPORARY TO TEST VTK OUTPUT
         WRITE(*, "(5X,A21,I10,A1,I10)") "t/tFinal: ", t, "/", tFinal
         WRITE(*, "(5X,A21,I10)")        "Particles: ", nPartOld
         IF (t == 0) THEN

From 6706c5dd1ca26f9dd69648e4d7fe8a5ca903a6c2 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sat, 4 Feb 2023 15:20:36 +0100
Subject: [PATCH 090/203] Average is written in .vtu

The average of the species properties can be written now in .vtu format.
No .pvd file is provided as no time series is generated.

Still to do:
  Read a .vtu mesh.
  Improve gmsh format to use more common functions.
---
 .../mesh/inout/vtk/moduleMeshOutputVTK.f90    | 111 +++++++++++++++++-
 src/modules/solver/moduleSolver.f90           |   1 +
 2 files changed, 111 insertions(+), 1 deletion(-)

diff --git a/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90 b/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90
index 203de0c..d962ae9 100644
--- a/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90
+++ b/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90
@@ -164,23 +164,29 @@ MODULE moduleMeshOutputVTK
 
       END DO
 
+      !Write node data
       WRITE(fileID,"(8X,A)") '<PointData>'
+      !Write density
       WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Density (m^-3)" NumberOfComponents="1">'
       WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
       WRITE(fileID,nodeFormat) (output(n)%density, n  = 1, self%numNodes)
       WRITE(fileID,"(10X,A)") '</DataArray>'
+      !Write velocity
       WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Velocity (m s^-1)" NumberOfComponents="3">'
       WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(3(ES20.6E3)))"
-      WRITE(fileID,nodeFormat) (output(n)%velocity(1:3), n  = 1, self%numNodes)
+      WRITE(fileID,nodeFormat) (output(n)%velocity, n  = 1, self%numNodes)
       WRITE(fileID,"(10X,A)") '</DataArray>'
+      !Write pressure
       WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Pressure (Pa)" NumberOfComponents="1">'
       WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
       WRITE(fileID,nodeFormat) (output(n)%pressure, n  = 1, self%numNodes)
       WRITE(fileID,"(10X,A)") '</DataArray>'
+      !Write temperature
       WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Temperature (K)" NumberOfComponents="1">'
       WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
       WRITE(fileID,nodeFormat) (output(n)%temperature, n  = 1, self%numNodes)
       WRITE(fileID,"(10X,A)") '</DataArray>'
+      !End node data
       WRITE(fileID,"(8X,A)") '</PointData>'
 
     END SUBROUTINE writeSpeciesOutput
@@ -286,6 +292,69 @@ MODULE moduleMeshOutputVTK
 
     END SUBROUTINE writeCollection
     
+    SUBROUTINE writeAverage(self, fileIDMean, fileIDDeviation, speciesIndex)
+      USE moduleMesh
+      USE moduleOutput
+      USE moduleAverage
+      IMPLICIT NONE
+
+      CLASS(meshParticles), INTENT(in):: self
+      INTEGER, INTENT(in):: fileIDMean, fileIDDeviation
+      INTEGER, INTENT(in):: speciesIndex
+      TYPE(outputFormat):: outputMean(1:self%numNodes)
+      TYPE(outputFormat):: outputDeviation(1:self%numNodes)
+      CHARACTER(LEN=25):: nodeFormat
+      INTEGER:: n
+
+      DO n = 1, self%numNodes
+        CALL calculateOutput(averageScheme(n)%mean%output(speciesIndex),      outputMean(n),      &
+                             self%nodes(n)%obj%v, species(speciesIndex)%obj)
+        CALL calculateOutput(averageScheme(n)%deviation%output(speciesIndex), outputDeviation(n), &
+                             self%nodes(n)%obj%v, species(speciesIndex)%obj)
+
+      END DO
+
+      !Write node data
+      WRITE(fileIDMean,     "(8X,A)") '<PointData>'
+      WRITE(fileIDDeviation,"(8X,A)") '<PointData>'
+      !Write density
+      WRITE(fileIDMean,     "(10X,A)") '<DataArray type="Float64" Name="Density, mean (m^-3)"      NumberOfComponents="1">'
+      WRITE(fileIDDeviation,"(10X,A)") '<DataArray type="Float64" Name="Density, deviation (m^-3)" NumberOfComponents="1">'
+      WRITE(nodeFormat,"(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
+      WRITE(fileIDMean,     nodeFormat) (outputMean(n)%density,      n  = 1, self%numNodes)
+      WRITE(fileIDDeviation,nodeFormat) (outputDeviation(n)%density, n  = 1, self%numNodes)
+      WRITE(fileIDMean,"(10X,A)")      '</DataArray>'
+      WRITE(fileIDDeviation,"(10X,A)") '</DataArray>'
+      !Write velocity
+      WRITE(fileIDMean,     "(10X,A)") '<DataArray type="Float64" Name="Velocity, mean (m s^-1)"      NumberOfComponents="3">'
+      WRITE(fileIDDeviation,"(10X,A)") '<DataArray type="Float64" Name="Velocity, deviation (m s^-1)" NumberOfComponents="3">'
+      WRITE(nodeFormat,"(A,I10, A)") "(", self%numNodes, "(3(ES20.6E3)))"
+      WRITE(fileIDMean,     nodeFormat) (outputMean(n)%velocity,      n  = 1, self%numNodes)
+      WRITE(fileIDDeviation,nodeFormat) (outputDeviation(n)%velocity, n  = 1, self%numNodes)
+      WRITE(fileIDMean,     "(10X,A)") '</DataArray>'
+      WRITE(fileIDDeviation,"(10X,A)") '</DataArray>'
+      !Write pressure
+      WRITE(fileIDMean,     "(10X,A)") '<DataArray type="Float64" Name="Pressure, mean (Pa)"      NumberOfComponents="1">'
+      WRITE(fileIDDeviation,"(10X,A)") '<DataArray type="Float64" Name="Pressure, deviation (Pa)" NumberOfComponents="1">'
+      WRITE(nodeFormat,"(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
+      WRITE(fileIDMean,     nodeFormat) (outputMean(n)%pressure,      n  = 1, self%numNodes)
+      WRITE(fileIDDeviation,nodeFormat) (outputDeviation(n)%pressure, n  = 1, self%numNodes)
+      WRITE(fileIDMean,     "(10X,A)") '</DataArray>'
+      WRITE(fileIDDeviation,"(10X,A)") '</DataArray>'
+      !Write temperature
+      WRITE(fileIDMean,     "(10X,A)") '<DataArray type="Float64" Name="Temperature, mean (K)"      NumberOfComponents="1">'
+      WRITE(fileIDDeviation,"(10X,A)") '<DataArray type="Float64" Name="Temperature, deviation (K)" NumberOfComponents="1">'
+      WRITE(nodeFormat,"(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
+      WRITE(fileIDMean,     nodeFormat) (outputMean(n)%temperature,      n  = 1, self%numNodes)
+      WRITE(fileIDDeviation,nodeFormat) (outputDeviation(n)%temperature, n  = 1, self%numNodes)
+      WRITE(fileIDMean,     "(10X,A)") '</DataArray>'
+      WRITE(fileIDDeviation,"(10X,A)") '</DataArray>'
+      !End node data
+      WRITE(fileIDMean,     "(8X,A)") '</PointData>'
+      WRITE(fileIDDeviation,"(8X,A)") '</PointData>'
+
+    END SUBROUTINE writeAverage
+
     SUBROUTINE printOutputVTK(self,t)
       USE moduleMesh
       USE moduleSpecies
@@ -393,4 +462,44 @@ MODULE moduleMeshOutputVTK
 
     END SUBROUTINE printEMVTK
 
+    SUBROUTINE printAverageVTK(self)
+      USE moduleMesh
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshParticles), INTENT(in):: self
+      INTEGER:: n, i, fileIDMean, fileIDDeviation
+      CHARACTER(:), ALLOCATABLE:: fileNameMean, fileNameDeviation
+      TYPE(outputFormat):: output(1:self%numNodes)
+
+      fileIDMean = 66
+      fileIDDeviation = 67
+
+      DO i = 1, nSpecies
+        fileNameMean = formatFileName('Average_mean', species(i)%obj%name, 'vtu')
+        WRITE(*, "(6X,A15,A)") "Creating file: ", fileNameMean
+        OPEN (fileIDMean, file = path // folder // '/' //  fileNameMean)
+
+        fileNameDeviation = formatFileName('Average_deviation', species(i)%obj%name, 'vtu')
+        WRITE(*, "(6X,A15,A)") "Creating file: ", fileNameDeviation
+        OPEN (fileIDDeviation, file = path // folder // '/' //  fileNameDeviation)
+
+        CALL writeHeader(self%numNodes, self%numCells, fileIDMean)
+        CALL writeHeader(self%numNodes, self%numCells, fileIDDeviation)
+
+        CALL writeMesh(self, fileIDMean)
+        CALL writeMesh(self, fileIDDeviation)
+
+        CALL writeAverage(self, fileIDMean, fileIDDeviation, i)
+
+        CALL writeFooter(fileIDMean)
+        CALL writeFooter(fileIDDeviation)
+
+        CLOSE(fileIDMean)
+        CLOSE(fileIDDeviation)
+
+      END DO
+
+    END SUBROUTINE printAverageVTK
+
 END MODULE moduleMeshOutputVTK
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index def5ca4..68c1270 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -565,6 +565,7 @@ MODULE moduleSolver
       !Output average values
       IF (useAverage .AND. t == tFinal) THEN
         CALL mesh%printAverage()
+        CALL printAverageVTK(mesh) !TEMPORARY TO TEST VTK OUTPUT
 
       END IF
 

From f5be04587a82a49b5a5705f8deacf7f53d6fe9d9 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sat, 4 Feb 2023 15:41:13 +0100
Subject: [PATCH 091/203] First step towards reading .vtu mesh

Just setting up the required functions.
---
 src/makefile                                  |  2 +-
 .../mesh/inout/0D/moduleMeshOutput0D.f90      |  4 +-
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 |  4 +-
 .../inout/gmsh2/moduleMeshOutputGmsh2.f90     |  2 +-
 src/modules/mesh/inout/makefile               |  6 +--
 .../mesh/inout/vtk/moduleMeshInputVTK.f90     |  3 --
 src/modules/mesh/inout/{vtk => vtu}/makefile  |  4 +-
 .../mesh/inout/vtu/moduleMeshInputVTU.f90     | 50 +++++++++++++++++++
 .../moduleMeshOutputVTU.f90}                  | 22 ++++----
 src/modules/mesh/moduleMesh.f90               |  2 +-
 src/modules/solver/moduleSolver.f90           | 10 ++--
 11 files changed, 78 insertions(+), 31 deletions(-)
 delete mode 100644 src/modules/mesh/inout/vtk/moduleMeshInputVTK.f90
 rename src/modules/mesh/inout/{vtk => vtu}/makefile (50%)
 create mode 100644 src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
 rename src/modules/mesh/inout/{vtk/moduleMeshOutputVTK.f90 => vtu/moduleMeshOutputVTU.f90} (97%)

diff --git a/src/makefile b/src/makefile
index 32c6569..3223e41 100644
--- a/src/makefile
+++ b/src/makefile
@@ -5,7 +5,7 @@ OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/module
 			  	$(OBJDIR)/moduleCollisions.o $(OBJDIR)/moduleTable.o $(OBJDIR)/moduleParallel.o \
 			  	$(OBJDIR)/moduleEM.o $(OBJDIR)/moduleRandom.o $(OBJDIR)/moduleMath.o \
 					$(OBJDIR)/moduleProbe.o $(OBJDIR)/moduleAverage.o \
-			  	$(OBJDIR)/moduleMeshInputVTK.o $(OBJDIR)/moduleMeshOutputVTK.o \
+			  	$(OBJDIR)/moduleMeshInputVTU.o $(OBJDIR)/moduleMeshOutputVTU.o \
 			  	$(OBJDIR)/moduleMeshInputGmsh2.o $(OBJDIR)/moduleMeshOutputGmsh2.o \
 			  	$(OBJDIR)/moduleMeshInput0D.o $(OBJDIR)/moduleMeshOutput0D.o \
 			  	$(OBJDIR)/moduleMesh3DCart.o \
diff --git a/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90 b/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
index dfe9605..97ec729 100644
--- a/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
+++ b/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
@@ -42,13 +42,13 @@ MODULE moduleMeshOutput0D
       USE moduleOutput
       IMPLICIT NONE
 
-      CLASS(meshGeneric), INTENT(inout):: self
+      CLASS(meshGeneric), INTENT(in):: self
       INTEGER, INTENT(in):: t
       CHARACTER(:), ALLOCATABLE:: fileName
       INTEGER:: k
 
       fileName='OUTPUT_Collisions.dat'
-      IF (t == 0) THEN
+      IF (t == tInitial) THEN
         OPEN(20, file = path // folder // '/' // fileName, action = 'write')
         WRITE(20, "(A1, 14X, A5, A20)") "#","t (s)","collisions"
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index ae1fe05..6766c49 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -2,7 +2,7 @@ MODULE moduleMeshInputGmsh2
   !Reads a mesh in the Gmsh v2.0 format
 
   CONTAINS
-    !Inits a mesh to use Gmsh2 format
+    !Init a mesh to use Gmsh2 format
     SUBROUTINE initGmsh2(self)
       USE moduleMesh
       USE moduleMeshOutputGmsh2
@@ -23,7 +23,7 @@ MODULE moduleMeshInputGmsh2
 
     END SUBROUTINE initGmsh2
 
-    !Reads a Gmsh 2 format
+    !Read a Gmsh 2 format
     SUBROUTINE readGmsh2(self, filename)
       USE moduleMesh3DCart
       USE moduleMesh2DCyl
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index 53485f4..52e3922 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -144,7 +144,7 @@ MODULE moduleMeshOutputGmsh2
       USE moduleOutput
       IMPLICIT NONE
 
-      CLASS(meshGeneric), INTENT(inout):: self
+      CLASS(meshGeneric), INTENT(in):: self
       INTEGER, INTENT(in):: t
       INTEGER:: numEdges
       INTEGER:: k, c
diff --git a/src/modules/mesh/inout/makefile b/src/modules/mesh/inout/makefile
index 81e15bc..e686b87 100644
--- a/src/modules/mesh/inout/makefile
+++ b/src/modules/mesh/inout/makefile
@@ -1,7 +1,7 @@
-all: vtk.o gmsh2.o 0D.o
+all: vtu.o gmsh2.o 0D.o
 
-vtk.o:
-	$(MAKE) -C vtk all
+vtu.o:
+	$(MAKE) -C vtu all
 
 gmsh2.o:
 	$(MAKE) -C gmsh2 all
diff --git a/src/modules/mesh/inout/vtk/moduleMeshInputVTK.f90 b/src/modules/mesh/inout/vtk/moduleMeshInputVTK.f90
deleted file mode 100644
index a044b4f..0000000
--- a/src/modules/mesh/inout/vtk/moduleMeshInputVTK.f90
+++ /dev/null
@@ -1,3 +0,0 @@
-MODULE moduleMeshInputVTK
-
-END MODULE moduleMeshInputVTK
diff --git a/src/modules/mesh/inout/vtk/makefile b/src/modules/mesh/inout/vtu/makefile
similarity index 50%
rename from src/modules/mesh/inout/vtk/makefile
rename to src/modules/mesh/inout/vtu/makefile
index 18a13a0..07b471d 100644
--- a/src/modules/mesh/inout/vtk/makefile
+++ b/src/modules/mesh/inout/vtu/makefile
@@ -1,6 +1,6 @@
-all: moduleMeshInputVTK.o moduleMeshOutputVTK.o
+all: moduleMeshInputVTU.o moduleMeshOutputVTU.o
 
-moduleMeshInputVTK.o: moduleMeshOutputVTK.o moduleMeshInputVTK.f90
+moduleMeshInputVTU.o: moduleMeshOutputVTU.o moduleMeshInputVTU.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
 %.o: %.f90
diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
new file mode 100644
index 0000000..da6c792
--- /dev/null
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -0,0 +1,50 @@
+MODULE moduleMeshInputVTK
+  !Reads mesh in the VTU format
+
+  CONTAINS
+    SUBROUTINE initVTK(self)
+      USE moduleMesh
+      USE moduleMeshOutputVTU
+      IMPLICIT NONE
+
+      CLASS(meshGeneric), INTENT(inout), TARGET:: self
+
+      IF (ASSOCIATED(meshForMCC, self)) self%printColl => printCollVTU
+      SELECT TYPE(self)
+      TYPE IS(meshParticles)
+        self%printOutput  => printOutputVTU
+        self%printEM      => printEMVTU
+        self%readInitial  => readInitialVTU
+        self%printAverage => printAverageVTU
+
+      END SELECT
+      self%readMesh    => readVTU
+
+    END SUBROUTINE initVTK
+
+    SUBROUTINE readVTU(self, filename)
+      USE moduleMesh3DCart
+      USE moduleMesh2DCyl
+      USE moduleMesh2DCart
+      USE moduleMesh1DRad
+      USE moduleMesh1DCart
+      USE moduleBoundary
+      IMPLICIT NONE
+
+      CLASS(meshGeneric), INTENT(inout):: self
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
+      REAL(8):: r(1:3) !3 generic coordinates
+
+    END SUBROUTINE readVTU
+
+    SUBROUTINE readInitialVTU(filename, density, velocity, temperature)
+      IMPLICIT NONE
+
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
+      REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: density
+      REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:,:):: velocity
+      REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: temperature
+
+    END SUBROUTINE readInitialVTU
+
+END MODULE moduleMeshInputVTK
diff --git a/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90 b/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
similarity index 97%
rename from src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90
rename to src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
index d962ae9..bf4b1b4 100644
--- a/src/modules/mesh/inout/vtk/moduleMeshOutputVTK.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
@@ -1,4 +1,4 @@
-MODULE moduleMeshOutputVTK
+MODULE moduleMeshOutputVTU
 
   CHARACTER(LEN=6):: prefix = 'OUTPUT'
 
@@ -90,7 +90,7 @@ MODULE moduleMeshOutputVTK
         indexType = 1
 
       CLASS DEFAULT
-        CALL criticalError('Cell not valid for VTK output', 'getCellType')
+        CALL criticalError('Cell not valid for VTU output', 'getCellType')
 
       END SELECT
 
@@ -355,7 +355,7 @@ MODULE moduleMeshOutputVTK
 
     END SUBROUTINE writeAverage
 
-    SUBROUTINE printOutputVTK(self,t)
+    SUBROUTINE printOutputVTU(self,t)
       USE moduleMesh
       USE moduleSpecies
       IMPLICIT NONE
@@ -389,9 +389,9 @@ MODULE moduleMeshOutputVTK
 
       END DO
 
-    END SUBROUTINE printOutputVTK
+    END SUBROUTINE printOutputVTU
 
-    SUBROUTINE printCollVTK(self,t)
+    SUBROUTINE printCollVTU(self,t)
       USE moduleMesh
       USE moduleOutput
       IMPLICIT NONE
@@ -426,9 +426,9 @@ MODULE moduleMeshOutputVTK
 
       END IF
 
-    END SUBROUTINE printCollVTK
+    END SUBROUTINE printCollVTU
 
-    SUBROUTINE printEMVTK(self, t)
+    SUBROUTINE printEMVTU(self, t)
       USE moduleMesh
       IMPLICIT NONE
 
@@ -460,9 +460,9 @@ MODULE moduleMeshOutputVTK
 
       END IF
 
-    END SUBROUTINE printEMVTK
+    END SUBROUTINE printEMVTU
 
-    SUBROUTINE printAverageVTK(self)
+    SUBROUTINE printAverageVTU(self)
       USE moduleMesh
       USE moduleSpecies
       IMPLICIT NONE
@@ -500,6 +500,6 @@ MODULE moduleMeshOutputVTK
 
       END DO
 
-    END SUBROUTINE printAverageVTK
+    END SUBROUTINE printAverageVTU
 
-END MODULE moduleMeshOutputVTK
+END MODULE moduleMeshOutputVTU
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 7482842..cb252e8 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -374,7 +374,7 @@ MODULE moduleMesh
     !Prints number of collisions in each cell
     SUBROUTINE printColl_interface(self, t)
       IMPORT meshGeneric
-      CLASS(meshGeneric), INTENT(inout):: self
+      CLASS(meshGeneric), INTENT(in):: self
       INTEGER, INTENT(in):: t
 
     END SUBROUTINE printColl_interface
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index 68c1270..b1a91fd 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -514,7 +514,7 @@ MODULE moduleSolver
       USE moduleSpecies
       USE moduleCompTime
       USE moduleProbe
-      USE moduleMeshOutputVTK !TEMPORARY TO TEST VTK OUTPUT
+      USE moduleMeshOutputVTU !TEMPORARY TO TEST VTU OUTPUT
       IMPLICIT NONE
 
       INTEGER, INTENT(in):: t
@@ -528,11 +528,11 @@ MODULE moduleSolver
 
         CALL outputProbes(t)
         CALL mesh%printOutput(t)
-        CALL printOutputVTK(mesh, t) !TEMPORARY TO TEST VTK OUTPUT
+        CALL printOutputVTU(mesh, t) !TEMPORARY TO TEST VTU OUTPUT
         IF (ASSOCIATED(meshForMCC)) CALL meshForMCC%printColl(t)
-        IF (ASSOCIATED(meshForMCC)) CALL printCollVTK(meshForMCC,t) !TEMPORARY TO TEST VTK OUTPUT
+        IF (ASSOCIATED(meshForMCC)) CALL printCollVTU(meshForMCC,t) !TEMPORARY TO TEST VTU OUTPUT
         CALL mesh%printEM(t)
-        CALL printEMVTK(mesh, t) !TEMPORARY TO TEST VTK OUTPUT
+        CALL printEMVTU(mesh, t) !TEMPORARY TO TEST VTU OUTPUT
         WRITE(*, "(5X,A21,I10,A1,I10)") "t/tFinal: ", t, "/", tFinal
         WRITE(*, "(5X,A21,I10)")        "Particles: ", nPartOld
         IF (t == 0) THEN
@@ -565,7 +565,7 @@ MODULE moduleSolver
       !Output average values
       IF (useAverage .AND. t == tFinal) THEN
         CALL mesh%printAverage()
-        CALL printAverageVTK(mesh) !TEMPORARY TO TEST VTK OUTPUT
+        CALL printAverageVTU(mesh) !TEMPORARY TO TEST VTU OUTPUT
 
       END IF
 

From 63fd8fdb91557bbf95ce729956c1986b5379cc53 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sun, 5 Feb 2023 16:23:37 +0100
Subject: [PATCH 092/203] New functions to read VTU

Added a few functions to read .vtu meshes.

Output in .vtu changed to output data in 6 columns (seems to be the
    standard.)
---
 src/modules/init/moduleInput.f90              |   4 +
 .../mesh/inout/vtu/moduleMeshInputVTU.f90     | 166 +++++++++++++++++-
 .../mesh/inout/vtu/moduleMeshOutputVTU.f90    |  78 +++-----
 3 files changed, 192 insertions(+), 56 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 0a33903..82d458e 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -860,6 +860,7 @@ MODULE moduleInput
     SUBROUTINE readGeometry(config)
       USE moduleMesh
       USE moduleMeshInputGmsh2, ONLY: initGmsh2
+      USE moduleMeshInputVTU,   ONLY: initVTU, readVTU !TEMPORARY TO TEST VTU OUTPUT
       USE moduleMeshInput0D,    ONLY: init0D
       USE moduleErrors
       USE moduleOutput
@@ -873,6 +874,7 @@ MODULE moduleInput
       LOGICAL:: found
       CHARACTER(:), ALLOCATABLE:: meshFormat, meshFile
       REAL(8):: volume
+      CHARACTER(:), ALLOCATABLE:: meshFileVTU !Temporary to test VTU OUTPUT
 
       object = 'geometry'
 
@@ -973,6 +975,8 @@ MODULE moduleInput
         CALL config%get(object // '.meshFile', meshFile, found)
         pathMeshParticle = path // meshFile
         CALL mesh%readMesh(pathMeshParticle)
+        meshFileVTU = '/home/jorge/fpakc/runs/cylFlow/mesh.vtu' !TEMPORARY TO TEST VTU OUTPUT
+        CALL readVTU(mesh, meshFileVTU) !TEMPORARY TO TEST VTU OUTPUT
         DEALLOCATE(meshFile)
         IF (doubleMesh) THEN
           !Reads the mesh file for collisions
diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index da6c792..505f10d 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -1,8 +1,138 @@
-MODULE moduleMeshInputVTK
+MODULE moduleMeshInputVTU
   !Reads mesh in the VTU format
 
+  INTERFACE getValueFromLine
+    MODULE PROCEDURE getIntegerFromLine, getRealFromLine
+
+  END INTERFACE
+
   CONTAINS
-    SUBROUTINE initVTK(self)
+    FUNCTION findLine(fileID, text) RESULT(line)
+      USE moduleErrors
+      IMPLICIT NONE
+      
+      INTEGER, INTENT(in):: fileID
+      CHARACTER(*):: text
+      CHARACTER(LEN=256):: line
+      INTEGER:: error, found
+
+      error = 0
+      found = 0
+      !Reads all the file to find the 'text' string in a line
+      DO WHILE(error == 0 .AND. found == 0)
+        READ(fileID, "(A)", IOSTAT=error) line
+        found = INDEX(line, text)
+        IF (found > 0) THEN
+          EXIT
+
+        END IF
+      END DO
+
+      !If no line is found, return an error
+      IF (found == 0) THEN
+        CALL criticalError('String ' // text // ' not found in file.', 'findLine')
+
+      END IF
+
+    END FUNCTION findLine
+
+    SUBROUTINE getIntegerFromLine(line, label, valueInteger)
+      USE moduleErrors
+      IMPLICIT NONE
+
+      CHARACTER(LEN=256), INTENT(in):: line
+      CHARACTER(*), INTENT(in):: label
+      INTEGER, INTENT(out):: valueInteger
+      INTEGER:: labelStart, valueStart, valueEnd
+
+      labelStart = 0
+      labelStart = INDEX(line, label)
+      IF (labelStart == 0) THEN
+        CALL criticalError('Label '// label // ' not found in line', 'getValueFromLine')
+
+      END IF
+      valueStart = INDEX(line(labelStart:256), '"') + labelStart
+      valueEnd   = INDEX(line(valueStart:256), '"') + valueStart - 2
+      READ(line(valueStart:valueEnd), '(I10)') valueInteger
+
+    END SUBROUTINE getIntegerFromLine
+    
+    SUBROUTINE getRealFromLine(line, label, valueReal)
+      USE moduleErrors
+      IMPLICIT NONE
+
+      CHARACTER(LEN=256), INTENT(in):: line
+      CHARACTER(*), INTENT(in):: label
+      REAL(8), INTENT(out):: valueReal
+      INTEGER:: labelStart, valueStart, valueEnd
+
+      labelStart = 0
+      labelStart = INDEX(line, label)
+      IF (labelStart == 0) THEN
+        CALL criticalError('Label '// label // ' not found in line', 'getValueFromLine')
+
+      END IF
+      valueStart = INDEX(line(labelStart:256), '"') + labelStart
+      valueEnd   = INDEX(line(valueStart:256), '"') + valueStart - 2
+      READ(line(valueStart:valueEnd), '(F16.14)') valueReal
+
+    END SUBROUTINE getRealFromLine
+
+    SUBROUTINE readIntegerBlock(fileID, nData, array)
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: fileID
+      INTEGER, INTENT(in):: nData
+      INTEGER, INTENT(out):: array(1:nData)
+      INTEGER:: iStart, iEnd, block
+
+      iStart = 0
+      iEnd = 0
+      block = 6 !Assumes block of data in 6 columns
+
+      DO WHILE (iStart < nData)
+        iStart = iStart + 1
+        iEnd   = iStart - 1 + block
+        PRINT *, iStart, iEnd
+        IF (iEnd > nData) THEN
+          iEnd = nData
+
+        END IF
+        READ(fileID, *) array(iStart:iEnd)
+        iStart = iEnd
+
+      END DO
+
+    END SUBROUTINE readIntegerBlock
+
+    SUBROUTINE readRealBlock(fileID, nData, array)
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: fileID
+      INTEGER, INTENT(in):: nData
+      REAL(8), INTENT(out):: array(1:nData)
+      INTEGER:: iStart, iEnd, block
+
+      iStart = 0
+      iEnd = 0
+      block = 6 !Assumes block of data in 6 columns
+
+      DO WHILE (iStart < nData)
+        iStart = iStart + 1
+        iEnd   = iStart - 1 + block
+        PRINT *, iStart, iEnd
+        IF (iEnd > nData) THEN
+          iEnd = nData
+
+        END IF
+        READ(fileID, *) array(iStart:iEnd)
+        iStart = iEnd
+
+      END DO
+
+    END SUBROUTINE readRealBlock
+
+    SUBROUTINE initVTU(self)
       USE moduleMesh
       USE moduleMeshOutputVTU
       IMPLICIT NONE
@@ -20,7 +150,7 @@ MODULE moduleMeshInputVTK
       END SELECT
       self%readMesh    => readVTU
 
-    END SUBROUTINE initVTK
+    END SUBROUTINE initVTU
 
     SUBROUTINE readVTU(self, filename)
       USE moduleMesh3DCart
@@ -34,6 +164,34 @@ MODULE moduleMeshInputVTK
       CLASS(meshGeneric), INTENT(inout):: self
       CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
       REAL(8):: r(1:3) !3 generic coordinates
+      INTEGER:: fileID, error, found
+      CHARACTER(LEN=256):: line
+      INTEGER:: numNodes, numElements
+      INTEGER, ALLOCATABLE, DIMENSION(:):: entitiesID, offsets
+
+      fileID = 10
+
+      OPEN(fileID, FILE=TRIM(filename))
+
+      !Find the number of nodes and elements (edges+cells) in the mesh.
+      line = findLine(fileID, '<Piece')
+      CALL getValueFromLine(line, 'NumberOfPoints', numNodes)
+      CALL getValueFromLine(line, 'NumberOfCells', numElements)
+      REWIND(fileID)
+
+      !Get the IDs of the cells to identify physical surfaces
+      line = findLine(fileID, 'Name="CellEntityIds"')
+      ALLOCATE(entitiesID(1:numElements))
+      CALL readIntegerBlock(fileID, numElements, entitiesID)
+      REWIND(fileID)
+
+      !Get the offsets to read connectivity
+      line = findLine(fileID, 'Name="offsets"')
+      ALLOCATE(offsets(1:numElements))
+      CALL readIntegerBlock(fileID, numElements, offsets)
+      REWIND(fileID)
+
+      CLOSE(fileID)
 
     END SUBROUTINE readVTU
 
@@ -47,4 +205,4 @@ MODULE moduleMeshInputVTK
 
     END SUBROUTINE readInitialVTU
 
-END MODULE moduleMeshInputVTK
+END MODULE moduleMeshInputVTU
diff --git a/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
index bf4b1b4..6b0889f 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
@@ -103,45 +103,37 @@ MODULE moduleMeshOutputVTU
 
       CLASS(meshGeneric), INTENT(in):: self
       INTEGER, INTENT(in):: fileID
-      CHARACTER(LEN=25):: nodeFormat
-      CHARACTER(LEN=25):: cellFormat
       INTEGER:: e
-      INTEGER:: offset
+      INTEGER:: offset(1:self%numCells), types(1:self%numCells)
 
       !Write nodes coordinates
       WRITE(fileID, "(8X, A)") '<Points>'
       WRITE(fileID, "(10X,A)") '<DataArray type="Float32" NumberOfComponents="3" format="ascii">'
-      WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(3(ES20.6E3)))"
-      WRITE(fileID, nodeFormat) (self%nodes(e)%obj%getCoordinates()*L_ref, e = 1, self%numNodes)
+      WRITE(fileID, "(6(ES20.6E3))") (self%nodes(e)%obj%getCoordinates()*L_ref, e = 1, self%numNodes)
       WRITE(fileID, "(10X, A)") '</DataArray>'
       WRITE(fileID, "(8X, A)") '</Points>'
 
       WRITE(fileID, "(8X, A)") '<Cells>'
       !Write nodes connectivity of each cell
       WRITE(fileID, "(10X,A)") '<DataArray type="Int32" Name="connectivity"  format="ascii">'
-      DO e = 1, self%numCells
-        WRITE(cellFormat, "(A,I1,A)") "(",self%cells(e)%obj%nNodes,"(I10))"
-        WRITE(fileID, cellFormat, advance="no") self%cells(e)%obj%getNodes(self%cells(e)%obj%nNodes) - 1 !Array starts on 0
-
-      END DO
+      WRITE(fileID, "(6(I10))") (self%cells(e)%obj%getNodes(self%cells(e)%obj%nNodes) - 1, e = 1, self%numCells) !Array starts on 0
       WRITE(fileID, "(10X, A)") '</DataArray>'
       !Write offset of each cell
-      offset = 0
+      offset(1) = self%cells(1)%obj%nNodes
       WRITE(fileID, "(10X,A)") '<DataArray type="Int32" Name="offsets"  format="ascii">'
-      DO e = 1, self%numCells
-        WRITE(cellFormat, "(A,I1,A)") "(I10)"
-        offset = offset + self%cells(e)%obj%nNodes
-        WRITE(fileID, cellFormat, advance="no") offset
+      DO e = 2, self%numCells
+        offset(e) = offset(e - 1) + self%cells(e)%obj%nNodes
 
       END DO
+      WRITE(fileID, "(6(I10))") offset
       WRITE(fileID, "(10X, A)") '</DataArray>'
       !Write type of each cell
       WRITE(fileID, "(10X,A)") '<DataArray type="Int32" Name="types"  format="ascii">'
       DO e = 1, self%numCells
-        WRITE(cellFormat, "(A,I1,A)") "(I10)"
-        WRITE(fileID, cellFormat, advance="no") getCellType(self%cells(e)%obj)
+        types(e) = getCellType(self%cells(e)%obj)
 
       END DO
+      WRITE(fileID, "(6(I10))") types
       WRITE(fileID, "(10X, A)") '</DataArray>'
       WRITE(fileID, "(8X, A)") '</Cells>'
 
@@ -156,7 +148,6 @@ MODULE moduleMeshOutputVTU
       INTEGER, INTENT(in):: fileID
       INTEGER, INTENT(in):: speciesIndex
       TYPE(outputFormat):: output(1:self%numNodes)
-      CHARACTER(LEN=25):: nodeFormat
       INTEGER:: n
 
       DO n = 1, self%numNodes
@@ -168,23 +159,19 @@ MODULE moduleMeshOutputVTU
       WRITE(fileID,"(8X,A)") '<PointData>'
       !Write density
       WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Density (m^-3)" NumberOfComponents="1">'
-      WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
-      WRITE(fileID,nodeFormat) (output(n)%density, n  = 1, self%numNodes)
+      WRITE(fileID,"(6(ES20.6E3))") (output(n)%density, n  = 1, self%numNodes)
       WRITE(fileID,"(10X,A)") '</DataArray>'
       !Write velocity
       WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Velocity (m s^-1)" NumberOfComponents="3">'
-      WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(3(ES20.6E3)))"
-      WRITE(fileID,nodeFormat) (output(n)%velocity, n  = 1, self%numNodes)
+      WRITE(fileID,"(6(ES20.6E3))") (output(n)%velocity, n  = 1, self%numNodes)
       WRITE(fileID,"(10X,A)") '</DataArray>'
       !Write pressure
       WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Pressure (Pa)" NumberOfComponents="1">'
-      WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
-      WRITE(fileID,nodeFormat) (output(n)%pressure, n  = 1, self%numNodes)
+      WRITE(fileID,"(6(ES20.6E3))") (output(n)%pressure, n  = 1, self%numNodes)
       WRITE(fileID,"(10X,A)") '</DataArray>'
       !Write temperature
       WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Temperature (K)" NumberOfComponents="1">'
-      WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
-      WRITE(fileID,nodeFormat) (output(n)%temperature, n  = 1, self%numNodes)
+      WRITE(fileID,"(6(ES20.6E3))") (output(n)%temperature, n  = 1, self%numNodes)
       WRITE(fileID,"(10X,A)") '</DataArray>'
       !End node data
       WRITE(fileID,"(8X,A)") '</PointData>'
@@ -201,7 +188,6 @@ MODULE moduleMeshOutputVTU
       INTEGER:: k, c, n
       CHARACTER(:), ALLOCATABLE:: title
       CHARACTER (LEN=2):: cString
-      CHARACTER(LEN=25):: cellFormat
 
       WRITE(fileID,"(8X,A)") '<CellData>'
       DO k = 1, nCollPairs
@@ -209,8 +195,7 @@ MODULE moduleMeshOutputVTU
           WRITE(cString, "(I2)") c
           title = 'Pair ' // interactionMatrix(k)%sp_i%name // '-' // interactionMatrix(k)%sp_j%name // ' collision ' // cString
           WRITE(fileID,"(10X,A, A, A)") '<DataArray type="Float64" Name="',title, '" NumberOfComponents="1">'
-          WRITE(cellFormat, "(A,I10, A)") "(", self%numCells, "(I10))"
-          WRITE(fileID, cellFormat) (self%cells(n)%obj%tallyColl(k)%tally(c), n = 1, self%numCells)
+          WRITE(fileID, "(6(I10))") (self%cells(n)%obj%tallyColl(k)%tally(c), n = 1, self%numCells)
           WRITE(fileID, "(10X, A)") '</DataArray>'
 
         END DO
@@ -226,33 +211,27 @@ MODULE moduleMeshOutputVTU
 
       CLASS(meshParticles), INTENT(in):: self
       INTEGER, INTENT(in):: fileID
-      CHARACTER(LEN=25):: nodeFormat
-      CHARACTER(LEN=25):: cellFormat
       INTEGER:: n
       REAL(8):: Xi(1:3)
 
-      Xi = (/ 0.D0, 0.D0, 0.D0 /)
-
       !Points in nodes
       WRITE(fileID,"(8X,A)") '<PointData>'
       !Electric potential
       WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Potential (V)" NumberOfComponents="1">'
-      WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
-      WRITE(fileID,nodeFormat) (self%nodes(n)%obj%emData%phi*Volt_ref, n  = 1, self%numNodes)
+      WRITE(fileID,"(6(ES20.6E3))") (self%nodes(n)%obj%emData%phi*Volt_ref, n  = 1, self%numNodes)
       WRITE(fileID,"(10X,A)") '</DataArray>'
       !Magnetic Field
       WRITE(fileID,"(10X,A)") '<DataArray type="Float64" Name="Magnetic Field (T)" NumberOfComponents="3">'
-      WRITE(nodeFormat, "(A,I10, A)") "(", self%numNodes, "(3(ES20.6E3)))"
-      WRITE(fileID,nodeFormat) (self%nodes(n)%obj%emData%B*B_ref, n  = 1, self%numNodes)
+      WRITE(fileID,"(6(ES20.6E3))") (self%nodes(n)%obj%emData%B*B_ref, n  = 1, self%numNodes)
       WRITE(fileID,"(10X,A)") '</DataArray>'
       WRITE(fileID,"(8X,A)") '</PointData>'
 
       !Cell Data
+      Xi = (/ 0.D0, 0.D0, 0.D0 /)
       WRITE(fileID,"(8X,A)") '<CellData>'
       !Electric field
       WRITE(fileID,"(10X,A, A, A)") '<DataArray type="Float64" Name="Electric Field (V m^-1)" NumberOfComponents="3">'
-      WRITE(cellFormat, "(A,I10, A)") "(", self%numCells, "(3(ES20.6E3)))"
-      WRITE(fileID, cellFormat) (self%cells(n)%obj%gatherElectricField(Xi)*EF_ref, n = 1, self%numCells)
+      WRITE(fileID, "(6(ES20.6E3))") (self%cells(n)%obj%gatherElectricField(Xi)*EF_ref, n = 1, self%numCells)
       WRITE(fileID,"(10X,A)") '</DataArray>'
       WRITE(fileID,"(8X,A)") '</CellData>'
 
@@ -303,7 +282,6 @@ MODULE moduleMeshOutputVTU
       INTEGER, INTENT(in):: speciesIndex
       TYPE(outputFormat):: outputMean(1:self%numNodes)
       TYPE(outputFormat):: outputDeviation(1:self%numNodes)
-      CHARACTER(LEN=25):: nodeFormat
       INTEGER:: n
 
       DO n = 1, self%numNodes
@@ -320,33 +298,29 @@ MODULE moduleMeshOutputVTU
       !Write density
       WRITE(fileIDMean,     "(10X,A)") '<DataArray type="Float64" Name="Density, mean (m^-3)"      NumberOfComponents="1">'
       WRITE(fileIDDeviation,"(10X,A)") '<DataArray type="Float64" Name="Density, deviation (m^-3)" NumberOfComponents="1">'
-      WRITE(nodeFormat,"(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
-      WRITE(fileIDMean,     nodeFormat) (outputMean(n)%density,      n  = 1, self%numNodes)
-      WRITE(fileIDDeviation,nodeFormat) (outputDeviation(n)%density, n  = 1, self%numNodes)
+      WRITE(fileIDMean,     "(6(ES20.6E3))") (outputMean(n)%density,      n  = 1, self%numNodes)
+      WRITE(fileIDDeviation,"(6(ES20.6E3))") (outputDeviation(n)%density, n  = 1, self%numNodes)
       WRITE(fileIDMean,"(10X,A)")      '</DataArray>'
       WRITE(fileIDDeviation,"(10X,A)") '</DataArray>'
       !Write velocity
       WRITE(fileIDMean,     "(10X,A)") '<DataArray type="Float64" Name="Velocity, mean (m s^-1)"      NumberOfComponents="3">'
       WRITE(fileIDDeviation,"(10X,A)") '<DataArray type="Float64" Name="Velocity, deviation (m s^-1)" NumberOfComponents="3">'
-      WRITE(nodeFormat,"(A,I10, A)") "(", self%numNodes, "(3(ES20.6E3)))"
-      WRITE(fileIDMean,     nodeFormat) (outputMean(n)%velocity,      n  = 1, self%numNodes)
-      WRITE(fileIDDeviation,nodeFormat) (outputDeviation(n)%velocity, n  = 1, self%numNodes)
+      WRITE(fileIDMean,     "(6(ES20.6E3))") (outputMean(n)%velocity,      n  = 1, self%numNodes)
+      WRITE(fileIDDeviation,"(6(ES20.6E3))") (outputDeviation(n)%velocity, n  = 1, self%numNodes)
       WRITE(fileIDMean,     "(10X,A)") '</DataArray>'
       WRITE(fileIDDeviation,"(10X,A)") '</DataArray>'
       !Write pressure
       WRITE(fileIDMean,     "(10X,A)") '<DataArray type="Float64" Name="Pressure, mean (Pa)"      NumberOfComponents="1">'
       WRITE(fileIDDeviation,"(10X,A)") '<DataArray type="Float64" Name="Pressure, deviation (Pa)" NumberOfComponents="1">'
-      WRITE(nodeFormat,"(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
-      WRITE(fileIDMean,     nodeFormat) (outputMean(n)%pressure,      n  = 1, self%numNodes)
-      WRITE(fileIDDeviation,nodeFormat) (outputDeviation(n)%pressure, n  = 1, self%numNodes)
+      WRITE(fileIDMean,     "(6(ES20.6E3))") (outputMean(n)%pressure,      n  = 1, self%numNodes)
+      WRITE(fileIDDeviation,"(6(ES20.6E3))") (outputDeviation(n)%pressure, n  = 1, self%numNodes)
       WRITE(fileIDMean,     "(10X,A)") '</DataArray>'
       WRITE(fileIDDeviation,"(10X,A)") '</DataArray>'
       !Write temperature
       WRITE(fileIDMean,     "(10X,A)") '<DataArray type="Float64" Name="Temperature, mean (K)"      NumberOfComponents="1">'
       WRITE(fileIDDeviation,"(10X,A)") '<DataArray type="Float64" Name="Temperature, deviation (K)" NumberOfComponents="1">'
-      WRITE(nodeFormat,"(A,I10, A)") "(", self%numNodes, "(1(ES20.6E3)))"
-      WRITE(fileIDMean,     nodeFormat) (outputMean(n)%temperature,      n  = 1, self%numNodes)
-      WRITE(fileIDDeviation,nodeFormat) (outputDeviation(n)%temperature, n  = 1, self%numNodes)
+      WRITE(fileIDMean,     "(6(ES20.6E3))") (outputMean(n)%temperature,      n  = 1, self%numNodes)
+      WRITE(fileIDDeviation,"(6(ES20.6E3))") (outputDeviation(n)%temperature, n  = 1, self%numNodes)
       WRITE(fileIDMean,     "(10X,A)") '</DataArray>'
       WRITE(fileIDDeviation,"(10X,A)") '</DataArray>'
       !End node data

From 7b470b7f584e98c3f7928c2bd9b9b47806e814c1 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sun, 5 Feb 2023 18:32:38 +0100
Subject: [PATCH 093/203] Subroutines to read .vtu information

All subroutines to read .vtu information is ready.

Now it is time to create the input and generate a mesh for fpakc.
---
 .../mesh/inout/vtu/moduleMeshInputVTU.f90     | 33 ++++++++++++++++---
 1 file changed, 29 insertions(+), 4 deletions(-)

diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index 505f10d..b283d67 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -6,6 +6,11 @@ MODULE moduleMeshInputVTU
 
   END INTERFACE
 
+  INTERFACE readDataBlock
+    MODULE PROCEDURE readIntegerBlock, readRealBlock
+
+  END INTERFACE
+
   CONTAINS
     FUNCTION findLine(fileID, text) RESULT(line)
       USE moduleErrors
@@ -93,7 +98,6 @@ MODULE moduleMeshInputVTU
       DO WHILE (iStart < nData)
         iStart = iStart + 1
         iEnd   = iStart - 1 + block
-        PRINT *, iStart, iEnd
         IF (iEnd > nData) THEN
           iEnd = nData
 
@@ -167,7 +171,8 @@ MODULE moduleMeshInputVTU
       INTEGER:: fileID, error, found
       CHARACTER(LEN=256):: line
       INTEGER:: numNodes, numElements
-      INTEGER, ALLOCATABLE, DIMENSION(:):: entitiesID, offsets
+      INTEGER, ALLOCATABLE, DIMENSION(:):: entitiesID, offsets, connectivity, types
+      REAL(8), ALLOCATABLE, DIMENSION(:):: coordinates
 
       fileID = 10
 
@@ -182,17 +187,37 @@ MODULE moduleMeshInputVTU
       !Get the IDs of the cells to identify physical surfaces
       line = findLine(fileID, 'Name="CellEntityIds"')
       ALLOCATE(entitiesID(1:numElements))
-      CALL readIntegerBlock(fileID, numElements, entitiesID)
+      CALL readDataBlock(fileID, numElements, entitiesID)
       REWIND(fileID)
 
       !Get the offsets to read connectivity
       line = findLine(fileID, 'Name="offsets"')
       ALLOCATE(offsets(1:numElements))
-      CALL readIntegerBlock(fileID, numElements, offsets)
+      CALL readDataBlock(fileID, numElements, offsets)
+      REWIND(fileID)
+
+      !Get the connectivity of elements to nodes
+      line = findline(fileID, 'Name="connectivity"')
+      ALLOCATE(connectivity(1:MAXVAL(offsets)))
+      CALL readDataBlock(fileID, MAXVAL(offsets), connectivity)
+      REWIND(fileID)
+
+      !Get the type of elements
+      line = findline(fileID, 'Name="types"')
+      ALLOCATE(types(1:numElements))
+      CALL readDataBlock(fileID, numElements, types)
+      REWIND(fileID)
+
+      !Get nodes coordinates
+      line = findline(fileID, 'Name="Points"')
+      ALLOCATE(coordinates(1:3*numNodes))
+      CALL readDataBlock(fileID, 3*numNodes, coordinates)
       REWIND(fileID)
 
       CLOSE(fileID)
 
+      !All relevant information from the .vtu file has been read. Time to build the mesh.
+
     END SUBROUTINE readVTU
 
     SUBROUTINE readInitialVTU(filename, density, velocity, temperature)

From 43a74217956507c81535d35d313150c911aa2285 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sun, 5 Feb 2023 19:35:49 +0100
Subject: [PATCH 094/203] Creating of nodes and edges in .vtu format

Moving forward making vtu an independent format.

Now fpakc can generate nodes and edges from vtu input.
Next step is cells.

Some minor corrections in gmsh2 format to unify statements.
The reading of meshes needs a good overhaul.

Testing all geometries with vtu is gonna be fun...
---
 src/modules/init/moduleInput.f90              |  48 +++++-
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 |  47 ++---
 .../mesh/inout/vtu/moduleMeshInputVTU.f90     | 163 +++++++++++++++++-
 src/modules/solver/moduleSolver.f90           |   5 -
 4 files changed, 220 insertions(+), 43 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 82d458e..33bd894 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -860,8 +860,13 @@ MODULE moduleInput
     SUBROUTINE readGeometry(config)
       USE moduleMesh
       USE moduleMeshInputGmsh2, ONLY: initGmsh2
-      USE moduleMeshInputVTU,   ONLY: initVTU, readVTU !TEMPORARY TO TEST VTU OUTPUT
+      USE moduleMeshInputVTU,   ONLY: initVTU
       USE moduleMeshInput0D,    ONLY: init0D
+      USE moduleMesh3DCart
+      USE moduleMesh2DCyl
+      USE moduleMesh2DCart
+      USE moduleMesh1DRad
+      USE moduleMesh1DCart
       USE moduleErrors
       USE moduleOutput
       USE moduleRefParam
@@ -959,7 +964,34 @@ MODULE moduleInput
 
         END SELECT
 
-        !Get the type of mesh
+        !Link the procedure to connect meshes
+        SELECT CASE(mesh%dimen)
+        CASE(3)
+          mesh%connectMesh => connectMesh3DCart
+
+        CASE(2)
+          SELECT CASE(mesh%geometry)
+          CASE("Cyl")
+            mesh%connectMesh => connectMesh2DCyl
+
+          CASE("Cart")
+            mesh%connectMesh => connectMesh2DCart
+
+          END SELECT
+
+        CASE(1)
+          SELECT CASE(mesh%geometry)
+          CASE("Rad")
+            mesh%connectMesh => connectMesh1DRad
+
+          CASE("Cart")
+            mesh%connectMesh => connectMesh1DCart
+
+          END SELECT
+
+        END SELECT
+
+        !Get the format of mesh
         CALL config%get(object // '.meshType', meshFormat, found)
         SELECT CASE(meshFormat)
         CASE ("gmsh2")
@@ -969,14 +1001,22 @@ MODULE moduleInput
 
           END IF
 
+        CASE ("vtu")
+          CALL initVTU(mesh)
+          IF (doubleMesh) THEN
+            CALL initVTU(meshColl)
+
+          END IF
+
+        CASE DEFAULT
+          CALL criticalError('Mesh format ' // meshFormat // ' not defined.', 'readGeometry')
+
         END SELECT
 
         !Reads the mesh file
         CALL config%get(object // '.meshFile', meshFile, found)
         pathMeshParticle = path // meshFile
         CALL mesh%readMesh(pathMeshParticle)
-        meshFileVTU = '/home/jorge/fpakc/runs/cylFlow/mesh.vtu' !TEMPORARY TO TEST VTU OUTPUT
-        CALL readVTU(mesh, meshFileVTU) !TEMPORARY TO TEST VTU OUTPUT
         DEALLOCATE(meshFile)
         IF (doubleMesh) THEN
           !Reads the mesh file for collisions
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index 6766c49..0df1289 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -71,30 +71,26 @@ MODULE moduleMeshInputGmsh2
         SELECT CASE(self%dimen)
         CASE(3)
           ALLOCATE(meshNode3Dcart::self%nodes(n)%obj)
-          self%connectMesh => connectMesh3DCart
 
         CASE(2)
           SELECT CASE(self%geometry)
           CASE("Cyl")
             ALLOCATE(meshNode2DCyl:: self%nodes(n)%obj)
-            self%connectMesh => connectMesh2DCyl
 
           CASE("Cart")
             ALLOCATE(meshNode2DCart:: self%nodes(n)%obj)
-            self%connectMesh => connectMesh2DCart
 
           END SELECT
+
           r(3) = 0.D0
 
         CASE(1)
           SELECT CASE(self%geometry)
           CASE("Rad")
             ALLOCATE(meshNode1DRad:: self%nodes(n)%obj)
-            self%connectMesh => connectMesh1DRad
 
           CASE("Cart")
             ALLOCATE(meshNode1DCart:: self%nodes(n)%obj)
-            self%connectMesh => connectMesh1DCart
 
           END SELECT
           r(2:3) = 0.D0
@@ -111,7 +107,7 @@ MODULE moduleMeshInputGmsh2
       !Reads total number of elements (no nodes)
       READ(10, *) totalNumElem
 
-      !conts edges and volume elements
+      !Count edges and volume elements
       SELECT TYPE(self)
       TYPE IS(meshParticles)
         self%numEdges = 0
@@ -151,7 +147,7 @@ MODULE moduleMeshInputGmsh2
 
       END SELECT
 
-      !Allocates arrays
+      !Allocates array of cells
       ALLOCATE(self%cells(1:self%numCells))
 
       SELECT TYPE(self)
@@ -179,45 +175,30 @@ MODULE moduleMeshInputGmsh2
             END SELECT
 
           CASE (2)
+            ALLOCATE(p(1:2))
+            READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
+            !Associate boundary condition procedure.
+            bt = getBoundaryId(boundaryType)
+
             SELECT CASE(self%geometry)
             CASE("Cyl")
-              ALLOCATE(p(1:2))
-
-              READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
-              !Associate boundary condition procedure.
-              bt = getBoundaryId(boundaryType)
-
               ALLOCATE(meshEdge2DCyl:: self%edges(e)%obj)
 
             CASE("Cart")
-              ALLOCATE(p(1:2))
-
-              READ(10,*) n, elemType, eTemp, boundaryType, eTemp, p(1:2)
-              !Associate boundary condition procedure.
-              bt = getBoundaryId(boundaryType)
-
               ALLOCATE(meshEdge2DCart:: self%edges(e)%obj)
 
             END SELECT
 
           CASE(1)
+            ALLOCATE(p(1:1))
+            READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
+            !Associate boundary condition 
+            bt = getBoundaryId(boundaryType)
             SELECT CASE(self%geometry)
             CASE("Rad")
-              ALLOCATE(p(1:1))
-
-              READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
-              !Associate boundary condition 
-              bt = getBoundaryId(boundaryType)
-
               ALLOCATE(meshEdge1DRad:: self%edges(e)%obj)
 
             CASE("Cart")
-              ALLOCATE(p(1:1))
-
-              READ(10, *) n, elemType, eTemp, boundaryType, eTemp, p(1)
-              !Associate boundary condition 
-              bt = getBoundaryId(boundaryType)
-
               ALLOCATE(meshEdge1DCart:: self%edges(e)%obj)
 
             END SELECT
@@ -231,9 +212,9 @@ MODULE moduleMeshInputGmsh2
 
       END SELECT
 
-      !Read and initialize volumes
+      !Read and initialize cells
       DO e = 1, self%numCells
-        !Reads the volume according to the geometry
+        !Read the cell according to the geometry
         SELECT CASE(self%dimen)
         CASE(3)
           READ(10, *) n, elemType
diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index b283d67..3a72d12 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -124,7 +124,6 @@ MODULE moduleMeshInputVTU
       DO WHILE (iStart < nData)
         iStart = iStart + 1
         iEnd   = iStart - 1 + block
-        PRINT *, iStart, iEnd
         IF (iEnd > nData) THEN
           iEnd = nData
 
@@ -173,6 +172,9 @@ MODULE moduleMeshInputVTU
       INTEGER:: numNodes, numElements
       INTEGER, ALLOCATABLE, DIMENSION(:):: entitiesID, offsets, connectivity, types
       REAL(8), ALLOCATABLE, DIMENSION(:):: coordinates
+      INTEGER:: n, e, c
+      INTEGER, ALLOCATABLE:: p(:)
+      INTEGER:: bt
 
       fileID = 10
 
@@ -200,6 +202,8 @@ MODULE moduleMeshInputVTU
       line = findline(fileID, 'Name="connectivity"')
       ALLOCATE(connectivity(1:MAXVAL(offsets)))
       CALL readDataBlock(fileID, MAXVAL(offsets), connectivity)
+      !Shift connectivity to start in 1
+      connectivity = connectivity + 1
       REWIND(fileID)
 
       !Get the type of elements
@@ -217,7 +221,164 @@ MODULE moduleMeshInputVTU
       CLOSE(fileID)
 
       !All relevant information from the .vtu file has been read. Time to build the mesh.
+      self%numNodes = numNodes
+      ALLOCATE(self%nodes(1:self%numNodes))
+      SELECT TYPE(self)
+      TYPE IS(meshParticles)
+        ALLOCATE(self%K(1:self%numNodes, 1:self%numNodes))
+        ALLOCATE(self%IPIV(1:self%numNodes, 1:self%numNodes))
+        self%K = 0.D0
+        self%IPIV = 0
 
+      END SELECT
+
+      DO n = 1, self%numNodes
+        !Get the coordinates for each direction
+        r(1) = coordinates(3*(n-1)+1)
+        r(2) = coordinates(3*(n-1)+2)
+        r(3) = coordinates(3*(n-1)+3)
+
+        SELECT CASE(self%dimen)
+        CASE(3)
+          ALLOCATE(meshNode3Dcart::self%nodes(n)%obj)
+
+        CASE(2)
+          SELECT CASE(self%geometry)
+          CASE("Cyl")
+            ALLOCATE(meshNode2DCyl:: self%nodes(n)%obj)
+
+          CASE("Cart")
+            ALLOCATE(meshNode2DCart:: self%nodes(n)%obj)
+
+          END SELECT
+
+          r(3) = 0.D0
+
+        CASE(1)
+          SELECT CASE(self%geometry)
+          CASE("Rad")
+            ALLOCATE(meshNode1DRad:: self%nodes(n)%obj)
+
+          CASE("Cart")
+            ALLOCATE(meshNode1DCart:: self%nodes(n)%obj)
+
+          END SELECT
+          r(2:3) = 0.D0
+
+        END SELECT
+        CALL self%nodes(n)%obj%init(n, r)
+
+      END DO
+
+      !Count the number of edges
+      SELECT TYPE(self)
+      TYPE IS(meshParticles)
+        SELECT CASE(self%dimen)
+        CASE(3)
+          !Edges are triangles, type 5 in VTK
+          self%numEdges = COUNT(types==5)
+        
+        CASE(2)
+          !Edges are segments, type 3 in VTK
+          self%numEdges = COUNT(types==3)
+
+        CASE(1)
+          !Edges are nodes, type 1 in VTK
+          self%numEdges = COUNT(types==1)
+        
+        END SELECT
+
+        self%numCells = numElements - self%numEdges
+        !Allocate array of edges
+        ALLOCATE(self%edges(1:self%numEdges))
+
+      TYPE IS(meshCollisions)
+        self%numCells = numElements
+
+      END SELECT
+
+      !Allocates array of cells
+      ALLOCATE(self%cells(1:self%numCells))
+
+      !Read edges
+      e = 0
+      c = 0
+      SELECT TYPE(self)
+      TYPE IS(meshParticles)
+        DO n = 1, numElements
+          SELECT CASE(self%dimen)
+          CASE(3)
+            IF (types(n) == 5) THEN
+              e = e + 1
+              ALLOCATE(meshEdge3DCartTria:: self%edges(e)%obj)
+              ALLOCATE(p(1:3))
+
+              p(1) = connectivity(offsets(n) - 2)
+              p(2) = connectivity(offsets(n) - 1)
+              p(3) = connectivity(offsets(n))
+
+              !Associate boundary condition procedure.
+              bt = getBoundaryId(entitiesID(n))
+
+              !Allocate edge
+              CALL self%edges(e)%obj%init(n, p, bt, entitiesID(n))
+              DEALLOCATE(p)
+
+            END IF
+
+          CASE(2)
+            IF (types(n) == 3) THEN
+              e = e+1
+              ALLOCATE(p(1:2))
+              p(1) = connectivity(offsets(n) - 1)
+              p(2) = connectivity(offsets(n))
+
+              !Associate boundary condition procedure.
+              bt = getBoundaryId(entitiesID(n))
+
+              SELECT CASE(self%geometry)
+              CASE("Cyl")
+                ALLOCATE(meshEdge2DCyl:: self%edges(e)%obj)
+
+              CASE("Cart")
+                ALLOCATE(meshEdge2DCart:: self%edges(e)%obj)
+
+              END SELECT
+
+              !Allocate edge
+              CALL self%edges(e)%obj%init(n, p, bt, entitiesID(n))
+              DEALLOCATE(p)
+
+            END IF
+
+          CASE(1)
+            IF (types(n) == 3) THEN
+              e = e + 1
+              ALLOCATE(p(1:1))
+              p(1) = connectivity(offsets(n))
+
+              !Associate boundary condition procedure.
+              bt = getBoundaryId(entitiesID(n))
+              SELECT CASE(self%geometry)
+              CASE("Rad")
+                ALLOCATE(meshEdge1DRad:: self%edges(e)%obj)
+
+              CASE("Cart")
+                ALLOCATE(meshEdge1DCart:: self%edges(e)%obj)
+
+              END SELECT
+
+              CALL self%edges(e)%obj%init(n, p, bt, entitiesID(n))
+              DEALLOCATE(p)
+
+            END IF
+
+          END SELECT
+
+        END DO
+
+      END SELECT
+        
     END SUBROUTINE readVTU
 
     SUBROUTINE readInitialVTU(filename, density, velocity, temperature)
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index b1a91fd..e557495 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -514,7 +514,6 @@ MODULE moduleSolver
       USE moduleSpecies
       USE moduleCompTime
       USE moduleProbe
-      USE moduleMeshOutputVTU !TEMPORARY TO TEST VTU OUTPUT
       IMPLICIT NONE
 
       INTEGER, INTENT(in):: t
@@ -528,11 +527,8 @@ MODULE moduleSolver
 
         CALL outputProbes(t)
         CALL mesh%printOutput(t)
-        CALL printOutputVTU(mesh, t) !TEMPORARY TO TEST VTU OUTPUT
         IF (ASSOCIATED(meshForMCC)) CALL meshForMCC%printColl(t)
-        IF (ASSOCIATED(meshForMCC)) CALL printCollVTU(meshForMCC,t) !TEMPORARY TO TEST VTU OUTPUT
         CALL mesh%printEM(t)
-        CALL printEMVTU(mesh, t) !TEMPORARY TO TEST VTU OUTPUT
         WRITE(*, "(5X,A21,I10,A1,I10)") "t/tFinal: ", t, "/", tFinal
         WRITE(*, "(5X,A21,I10)")        "Particles: ", nPartOld
         IF (t == 0) THEN
@@ -565,7 +561,6 @@ MODULE moduleSolver
       !Output average values
       IF (useAverage .AND. t == tFinal) THEN
         CALL mesh%printAverage()
-        CALL printAverageVTU(mesh) !TEMPORARY TO TEST VTU OUTPUT
 
       END IF
 

From e3eeb97f4863117a8d138c0ca9b2843e5f7cfdda Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sun, 5 Feb 2023 21:33:03 +0100
Subject: [PATCH 095/203] First working version!

First complete implementation of .vtu format.
Still a lot of things to improve but right now fpakc can read a vtu mesh
and write the output in vtu.

Still to test:
  Multiple geometries.
  Double mesh.
---
 .../mesh/inout/vtu/moduleMeshInputVTU.f90     | 125 +++++++++++++++++-
 1 file changed, 124 insertions(+), 1 deletion(-)

diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index 3a72d12..f9588a7 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -302,7 +302,6 @@ MODULE moduleMeshInputVTU
 
       !Read edges
       e = 0
-      c = 0
       SELECT TYPE(self)
       TYPE IS(meshParticles)
         DO n = 1, numElements
@@ -378,7 +377,131 @@ MODULE moduleMeshInputVTU
         END DO
 
       END SELECT
+
+      !Read cells
+      c = 0
+      DO n = 1, numElements
+        SELECT CASE(self%dimen)
+        CASE(3)
+          SELECT CASE(types(n))
+          CASE(10)
+            !Thetraedron
+            c = c + 1
+            ALLOCATE(p(1:4))
+            p(1) = connectivity(offsets(n) - 3)
+            p(2) = connectivity(offsets(n) - 2)
+            p(3) = connectivity(offsets(n) - 1)
+            p(4) = connectivity(offsets(n))
+            ALLOCATE(meshCell3DCartTetra::  self%cells(c)%obj)
+
+            CALL self%cells(c)%obj%init(c, p, self%nodes)
+            DEALLOCATE(p)
+
+          END SELECT
+
+        CASE(2)
+          SELECT CASE(self%geometry)
+          CASE("Cyl")
+            SELECT CASE(types(n))
+            CASE(5)
+              !Triangular element
+              c = c + 1
+              ALLOCATE(p(1:3))
+              p(1) = connectivity(offsets(n) - 2)
+              p(2) = connectivity(offsets(n) - 1)
+              p(3) = connectivity(offsets(n))
+              ALLOCATE(meshCell2DCylTria:: self%cells(c)%obj)
+
+              CALL self%cells(c)%obj%init(c, p, self%nodes)
+              DEALLOCATE(p)
+
+            CASE(9)
+              !Quadrilateral element
+              c = c + 1
+              ALLOCATE(p(1:4))
+              p(1) = connectivity(offsets(n) - 3)
+              p(2) = connectivity(offsets(n) - 2)
+              p(3) = connectivity(offsets(n) - 1)
+              p(4) = connectivity(offsets(n))
+              ALLOCATE(meshCell2DCylQuad:: self%cells(c)%obj)
+
+              CALL self%cells(c)%obj%init(c, p, self%nodes)
+              DEALLOCATE(p)
+
+            END SELECT
+
+          CASE("Cart")
+            SELECT CASE(types(n))
+            CASE(5)
+              !Triangular element
+              c = c + 1
+              ALLOCATE(p(1:3))
+              p(1) = connectivity(offsets(n) - 2)
+              p(2) = connectivity(offsets(n) - 1)
+              p(3) = connectivity(offsets(n))
+              ALLOCATE(meshCell2DCartTria:: self%cells(c)%obj)
+
+              CALL self%cells(c)%obj%init(c, p, self%nodes)
+              DEALLOCATE(p)
+
+            CASE(9)
+              !Quadrilateral element
+              c = c + 1
+              ALLOCATE(p(1:4))
+              p(1) = connectivity(offsets(n) - 3)
+              p(2) = connectivity(offsets(n) - 2)
+              p(3) = connectivity(offsets(n) - 1)
+              p(4) = connectivity(offsets(n))
+              ALLOCATE(meshCell2DCartQuad:: self%cells(c)%obj)
+
+              CALL self%cells(c)%obj%init(c, p, self%nodes)
+              DEALLOCATE(p)
+
+            END SELECT
+
+          END SELECT
+
+        CASE(1)
+          SELECT CASE(self%geometry)
+          CASE("Rad")
+            SELECT CASE(types(n))
+            CASE(3)
+              !Segment element
+              c = c + 1
+              ALLOCATE(p(1:2))
+              p(1) = connectivity(offsets(n) - 1)
+              p(2) = connectivity(offsets(n))
+              ALLOCATE(meshCell1DRadSegm:: self%cells(c)%obj)
+
+              CALL self%cells(c)%obj%init(c, p, self%nodes)
+              DEALLOCATE(p)
+
+            END SELECT
+
+          CASE("Cart")
+            SELECT CASE(types(n))
+            CASE(3)
+              !Segment element
+              c = c + 1
+              ALLOCATE(p(1:2))
+              p(1) = connectivity(offsets(n) - 1)
+              p(2) = connectivity(offsets(n))
+              ALLOCATE(meshCell1DCartSegm:: self%cells(c)%obj)
+
+              CALL self%cells(c)%obj%init(c, p, self%nodes)
+              DEALLOCATE(p)
+
+            END SELECT
+
+          END SELECT
+
+        END SELECT
+
+      END DO
         
+      !Call mesh connectivity
+      CALL self%connectMesh
+
     END SUBROUTINE readVTU
 
     SUBROUTINE readInitialVTU(filename, density, velocity, temperature)

From 402dac9068ffa6642734fbe7386a5da687499f02 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sun, 5 Feb 2023 21:44:09 +0100
Subject: [PATCH 096/203] Update to the manual for .vtu

Manual has been updated to account for new vtu option in the mesh
format.
---
 doc/user-manual/fpakc_UserManual.pdf | Bin 181644 -> 181522 bytes
 doc/user-manual/fpakc_UserManual.tex |  16 ++++++++++------
 2 files changed, 10 insertions(+), 6 deletions(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index 49536bf078a47bc18c9474931ed1ab9d0ad34bfb..154eb5b6131721f0d957daba28b534627dd05e2b 100644
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z0N#h+j>U!tFh|1)CnKnqq7++J8p|nL^G%4?F+39Rbuhcd_TqCw=rZWH9Z>w^W0q1A
zWdY-m1Hq|S>}dGJppvFwGz~GvWE`LXavm*k$QuosD17Kqedoe~4B)6roFo}MeNhNz
zL>A3$@G3UshmUOpz7EQgMVcrKYXCD5t4SEZW9|oDg8&!wOMyji3>b<rL&=uri!?V;
z=$G&mM-;;l6f*|s5B9Qzkv7_F;fn+Ok0{7_JgE|rh_LB?iuhA9Q%`vP5{~w^jv{48
zI5KvkJww^Slh2N@rEDB%M>|W4|GQ#}rlqB3c*OLuh^VlcvozsF1H*F7zI`1=Icok7
DaJaz+

diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index 8897869..62e8f50 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -38,6 +38,7 @@
 \newacronym{io}{I/O}{input/output}
 \newacronym{mcc}{MCC}{Monte-Carlo Collisions}
 \newacronym{cs}{CS}{Coulomb Scattering}
+\newacronym{vtu}{VTU}{Visualization Toolkit for unstructured grids}
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \newglossaryentry{openmp}{name={OpenMP},description={Shared-memory parallelization}}
@@ -437,25 +438,26 @@ make
                                \begin{itemize}
                                  \item \textbf{Cart}: Cartesian coordinates.
                                                       Available for \textbf{geometry.dimension} $1$, $2$ and $3$.
-                                                      For \Gls{gmsh} mesh format, the coordinates $x$, $y$ and $z$ correspond to $x$, $y$ and $z$ respectively.
+                                                      The coordinates $x$, $y$ and $z$ correspond to $x$, $y$ and $z$ respectively.
                                  \item \textbf{Cyl}:  Cylindrical coordinates ($z \hyphen r$) with symmetry axis at $r = 0$.
                                                       Only available for \textbf{geometry.dimension} $2$.
-                                                      For \Gls{gmsh} mesh format, the coordinates $x$ and $y$ correspond to  $z$ and $r$ respectively.
+                                                      The coordinates $x$ and $y$ correspond to  $z$ and $r$ respectively.
                                  \item \textbf{Rad}:  One-dimensional radial space ($r$).
                                                       Only available for \textbf{geometry.dimension} $1$.
-                                                      For \Gls{gmsh} mesh format, the coordinates $x$ corresponds to $r$.
+                                                      The coordinates $x$ corresponds to $r$.
                                \end{itemize}
           \item \textbf{meshType}: Character.
                                    Format of mesh file.
                                    Accepted formats are:
                                    \begin{itemize}
                                      \item \textbf{gmsh2}: \Gls{gmsh} file format in version 2.0.
+                                     \item \textbf{vtu}: \Gls{vtu} file format.
                                    \end{itemize}
           \item \textbf{meshFile}: Character.
                                    Mesh filename.
                                    This file is searched in the path \textbf{output.path} and must contain the file extension.
           \item \textbf{volume}:   Real.
-                                   Units of $\unit{m^-3}$.
+                                   Units of $\unit{m^{-3}}$.
                                    Used to set a fictitious volume for the $0$ dimension.
                                    Ignored in the other cases.
         \end{itemize}
@@ -536,7 +538,7 @@ make
                                                                                                                  Density of neutral background.
                                                                                                                  Required parameter.
                                                                                          \item \textbf{velocity}: Real.
-                                                                                                                  Units in $\unit{m^{-3}}$.
+                                                                                                                  Units in $\unit{m s^{-1}}$.
                                                                                                                   Array of dimension $3$.
                                                                                                                   Mean velocity of neutral background.
                                                                                                                   Required parameter.
@@ -604,7 +606,8 @@ make
                                   \item \textbf{part/s}: Particles (real) per second.
                                 \end{itemize}
           \item \textbf{v}: Real.
-                            Module of velocity vector, in $\unitfrac{m}{s}$.
+                            Units of $\unit{m s^{-1}}$.
+                            Module of velocity vector.
           \item \textbf{n}: Real.
                             Array dimension $3$.
                             Direction of injection.
@@ -618,6 +621,7 @@ make
                                     \item \textbf{Delta}: Dirac's delta distribution function. All particles are injected with velocity \textbf{v} times the value of \textbf{n} in the specified direction.
                                   \end{itemize}
           \item \textbf{T}: Real.
+                            Units of $\unit{K}$
                             Array dimension $3$.
                             Temperature in each direction.
           \item \textbf{physicalSurface}: Integer.

From a22099ee87092b08ab518bcc536ff80b8a86bdb8 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 6 Feb 2023 19:18:04 +0100
Subject: [PATCH 097/203] Improvement to vtu read subroutine

Some improvements to reduce code repetition when reading vtu mesh.
---
 .../mesh/inout/vtu/moduleMeshInputVTU.f90     | 191 +++++++++---------
 1 file changed, 94 insertions(+), 97 deletions(-)

diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index f9588a7..3001eac 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -169,7 +169,7 @@ MODULE moduleMeshInputVTU
       REAL(8):: r(1:3) !3 generic coordinates
       INTEGER:: fileID, error, found
       CHARACTER(LEN=256):: line
-      INTEGER:: numNodes, numElements
+      INTEGER:: numNodes, numElements, numEdges
       INTEGER, ALLOCATABLE, DIMENSION(:):: entitiesID, offsets, connectivity, types
       REAL(8), ALLOCATABLE, DIMENSION(:):: coordinates
       INTEGER:: n, e, c
@@ -223,6 +223,7 @@ MODULE moduleMeshInputVTU
       !All relevant information from the .vtu file has been read. Time to build the mesh.
       self%numNodes = numNodes
       ALLOCATE(self%nodes(1:self%numNodes))
+
       SELECT TYPE(self)
       TYPE IS(meshParticles)
         ALLOCATE(self%K(1:self%numNodes, 1:self%numNodes))
@@ -238,6 +239,7 @@ MODULE moduleMeshInputVTU
         r(2) = coordinates(3*(n-1)+2)
         r(3) = coordinates(3*(n-1)+3)
 
+        !Allocate node
         SELECT CASE(self%dimen)
         CASE(3)
           ALLOCATE(meshNode3Dcart::self%nodes(n)%obj)
@@ -266,41 +268,44 @@ MODULE moduleMeshInputVTU
           r(2:3) = 0.D0
 
         END SELECT
+
+        !Init node
         CALL self%nodes(n)%obj%init(n, r)
 
       END DO
 
       !Count the number of edges
+      SELECT CASE(self%dimen)
+      CASE(3)
+        !Edges are triangles, type 5 in VTK
+        numEdges = COUNT(types==5)
+      
+      CASE(2)
+        !Edges are segments, type 3 in VTK
+        numEdges = COUNT(types==3)
+
+      CASE(1)
+        !Edges are nodes, type 1 in VTK
+        numEdges = COUNT(types==1)
+      
+      END SELECT
+
+      self%numCells = numElements - numEdges
+
       SELECT TYPE(self)
       TYPE IS(meshParticles)
-        SELECT CASE(self%dimen)
-        CASE(3)
-          !Edges are triangles, type 5 in VTK
-          self%numEdges = COUNT(types==5)
-        
-        CASE(2)
-          !Edges are segments, type 3 in VTK
-          self%numEdges = COUNT(types==3)
 
-        CASE(1)
-          !Edges are nodes, type 1 in VTK
-          self%numEdges = COUNT(types==1)
-        
-        END SELECT
+        self%numEdges = numEdges
 
-        self%numCells = numElements - self%numEdges
         !Allocate array of edges
         ALLOCATE(self%edges(1:self%numEdges))
 
-      TYPE IS(meshCollisions)
-        self%numCells = numElements
-
       END SELECT
 
       !Allocates array of cells
       ALLOCATE(self%cells(1:self%numCells))
 
-      !Read edges
+      !Read edges only if mesh is for tracking particles, not for collisions
       e = 0
       SELECT TYPE(self)
       TYPE IS(meshParticles)
@@ -309,9 +314,8 @@ MODULE moduleMeshInputVTU
           CASE(3)
             IF (types(n) == 5) THEN
               e = e + 1
-              ALLOCATE(meshEdge3DCartTria:: self%edges(e)%obj)
-              ALLOCATE(p(1:3))
 
+              ALLOCATE(p(1:3))
               p(1) = connectivity(offsets(n) - 2)
               p(2) = connectivity(offsets(n) - 1)
               p(3) = connectivity(offsets(n))
@@ -320,6 +324,9 @@ MODULE moduleMeshInputVTU
               bt = getBoundaryId(entitiesID(n))
 
               !Allocate edge
+              ALLOCATE(meshEdge3DCartTria:: self%edges(e)%obj)
+
+              !Init edge
               CALL self%edges(e)%obj%init(n, p, bt, entitiesID(n))
               DEALLOCATE(p)
 
@@ -335,6 +342,7 @@ MODULE moduleMeshInputVTU
               !Associate boundary condition procedure.
               bt = getBoundaryId(entitiesID(n))
 
+              !Allocate edge
               SELECT CASE(self%geometry)
               CASE("Cyl")
                 ALLOCATE(meshEdge2DCyl:: self%edges(e)%obj)
@@ -344,7 +352,7 @@ MODULE moduleMeshInputVTU
 
               END SELECT
 
-              !Allocate edge
+              !Init edge
               CALL self%edges(e)%obj%init(n, p, bt, entitiesID(n))
               DEALLOCATE(p)
 
@@ -358,6 +366,8 @@ MODULE moduleMeshInputVTU
 
               !Associate boundary condition procedure.
               bt = getBoundaryId(entitiesID(n))
+
+              !Allocate edge
               SELECT CASE(self%geometry)
               CASE("Rad")
                 ALLOCATE(meshEdge1DRad:: self%edges(e)%obj)
@@ -367,6 +377,7 @@ MODULE moduleMeshInputVTU
 
               END SELECT
 
+              !Init edge
               CALL self%edges(e)%obj%init(n, p, bt, entitiesID(n))
               DEALLOCATE(p)
 
@@ -387,112 +398,98 @@ MODULE moduleMeshInputVTU
           CASE(10)
             !Thetraedron
             c = c + 1
+
             ALLOCATE(p(1:4))
             p(1) = connectivity(offsets(n) - 3)
             p(2) = connectivity(offsets(n) - 2)
             p(3) = connectivity(offsets(n) - 1)
             p(4) = connectivity(offsets(n))
+
+            !Allocate cell
             ALLOCATE(meshCell3DCartTetra::  self%cells(c)%obj)
 
+            !Init cell
             CALL self%cells(c)%obj%init(c, p, self%nodes)
             DEALLOCATE(p)
 
           END SELECT
 
         CASE(2)
-          SELECT CASE(self%geometry)
-          CASE("Cyl")
-            SELECT CASE(types(n))
-            CASE(5)
-              !Triangular element
-              c = c + 1
-              ALLOCATE(p(1:3))
-              p(1) = connectivity(offsets(n) - 2)
-              p(2) = connectivity(offsets(n) - 1)
-              p(3) = connectivity(offsets(n))
+          SELECT CASE(types(n))
+          CASE(5)
+            !Triangular element
+            c = c + 1
+
+            ALLOCATE(p(1:3))
+            p(1) = connectivity(offsets(n) - 2)
+            p(2) = connectivity(offsets(n) - 1)
+            p(3) = connectivity(offsets(n))
+
+            !Allocate cell
+            SELECT CASE(self%geometry)
+            CASE("Cyl")
               ALLOCATE(meshCell2DCylTria:: self%cells(c)%obj)
 
-              CALL self%cells(c)%obj%init(c, p, self%nodes)
-              DEALLOCATE(p)
-
-            CASE(9)
-              !Quadrilateral element
-              c = c + 1
-              ALLOCATE(p(1:4))
-              p(1) = connectivity(offsets(n) - 3)
-              p(2) = connectivity(offsets(n) - 2)
-              p(3) = connectivity(offsets(n) - 1)
-              p(4) = connectivity(offsets(n))
-              ALLOCATE(meshCell2DCylQuad:: self%cells(c)%obj)
-
-              CALL self%cells(c)%obj%init(c, p, self%nodes)
-              DEALLOCATE(p)
-
-            END SELECT
-
-          CASE("Cart")
-            SELECT CASE(types(n))
-            CASE(5)
-              !Triangular element
-              c = c + 1
-              ALLOCATE(p(1:3))
-              p(1) = connectivity(offsets(n) - 2)
-              p(2) = connectivity(offsets(n) - 1)
-              p(3) = connectivity(offsets(n))
+            CASE("Cart")
               ALLOCATE(meshCell2DCartTria:: self%cells(c)%obj)
 
-              CALL self%cells(c)%obj%init(c, p, self%nodes)
-              DEALLOCATE(p)
+            END SELECT
 
-            CASE(9)
-              !Quadrilateral element
-              c = c + 1
-              ALLOCATE(p(1:4))
-              p(1) = connectivity(offsets(n) - 3)
-              p(2) = connectivity(offsets(n) - 2)
-              p(3) = connectivity(offsets(n) - 1)
-              p(4) = connectivity(offsets(n))
+            !Init cell
+            CALL self%cells(c)%obj%init(c, p, self%nodes)
+            DEALLOCATE(p)
+
+          CASE(9)
+            !Quadrilateral element
+            c = c + 1
+
+            ALLOCATE(p(1:4))
+            p(1) = connectivity(offsets(n) - 3)
+            p(2) = connectivity(offsets(n) - 2)
+            p(3) = connectivity(offsets(n) - 1)
+            p(4) = connectivity(offsets(n))
+
+            !Allocate cell
+            SELECT CASE(self%geometry)
+            CASE("Cyl")
+              ALLOCATE(meshCell2DCylQuad:: self%cells(c)%obj)
+
+            CASE("Cart")
               ALLOCATE(meshCell2DCartQuad:: self%cells(c)%obj)
 
-              CALL self%cells(c)%obj%init(c, p, self%nodes)
-              DEALLOCATE(p)
-
             END SELECT
 
+            !Init cell
+            CALL self%cells(c)%obj%init(c, p, self%nodes)
+            DEALLOCATE(p)
+
+
           END SELECT
 
         CASE(1)
-          SELECT CASE(self%geometry)
-          CASE("Rad")
-            SELECT CASE(types(n))
-            CASE(3)
-              !Segment element
-              c = c + 1
-              ALLOCATE(p(1:2))
-              p(1) = connectivity(offsets(n) - 1)
-              p(2) = connectivity(offsets(n))
+          SELECT CASE(types(n))
+          CASE(3)
+            !Segment element
+            c = c + 1
+
+            ALLOCATE(p(1:2))
+            p(1) = connectivity(offsets(n) - 1)
+            p(2) = connectivity(offsets(n))
+
+            !Allocate cell
+            SELECT CASE(self%geometry)
+            CASE("Rad")
               ALLOCATE(meshCell1DRadSegm:: self%cells(c)%obj)
 
-              CALL self%cells(c)%obj%init(c, p, self%nodes)
-              DEALLOCATE(p)
-
-            END SELECT
-
-          CASE("Cart")
-            SELECT CASE(types(n))
-            CASE(3)
-              !Segment element
-              c = c + 1
-              ALLOCATE(p(1:2))
-              p(1) = connectivity(offsets(n) - 1)
-              p(2) = connectivity(offsets(n))
+            CASE("Cart")
               ALLOCATE(meshCell1DCartSegm:: self%cells(c)%obj)
 
-              CALL self%cells(c)%obj%init(c, p, self%nodes)
-              DEALLOCATE(p)
-
             END SELECT
 
+            !Init cell
+            CALL self%cells(c)%obj%init(c, p, self%nodes)
+            DEALLOCATE(p)
+
           END SELECT
 
         END SELECT

From 515e5c7744a3b6d2f73113085bf35109bc490451 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 6 Feb 2023 19:54:54 +0100
Subject: [PATCH 098/203] Fix an issue and starting to read information from
 .vtu initial files

For some reason the connectivity for collision meshes was not being
properly assigned.

Also, the first subroutine to read information from .vtu files as
initial states has been added.
It is currently giving wrong results.
---
 src/modules/init/moduleInput.f90              |  5 +++
 .../mesh/inout/vtu/moduleMeshInputVTU.f90     | 38 +++++++++++++++++++
 2 files changed, 43 insertions(+)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 33bd894..da43e98 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -991,6 +991,11 @@ MODULE moduleInput
 
         END SELECT
 
+        IF (doubleMesh) THEN
+          meshColl%connectMesh => mesh%connectMesh
+
+        END IF
+
         !Get the format of mesh
         CALL config%get(object // '.meshType', meshFormat, found)
         SELECT CASE(meshFormat)
diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index 3001eac..c62dec1 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -508,6 +508,44 @@ MODULE moduleMeshInputVTU
       REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: density
       REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:,:):: velocity
       REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: temperature
+      INTEGER:: fileID
+      CHARACTER(:), ALLOCATABLE:: line
+      INTEGER:: numNodes
+      REAL(8), ALLOCATABLE:: velocityBlock(:)
+      INTEGER:: n
+
+      fileID = 10
+
+      OPEN(fileID, file = TRIM(filename))
+
+      line = findLine(fileID, '<Piece')
+      CALL getValueFromLine(line, 'NumberOfPoints', numNodes)
+
+      !Read the species density
+      line = findLine(fileID, 'Name="Density')
+      ALLOCATE(density(1:numNodes))
+      CALL readDataBlock(fileID, numNodes, density)
+      REWIND(fileID)
+
+      !Read the species velocity
+      line = findLine(fileID, 'Name="Velocity')
+      ALLOCATE(velocityBlock(1:3*numNodes))
+      CALL readDataBlock(fileID, numNodes, velocityBlock)
+      ALLOCATE(velocity(1:numNodes, 1:3))
+      DO n = 1, numNodes
+        velocity(n, 1) = velocityBlock(3*(n-1)+1)
+        velocity(n, 2) = velocityBlock(3*(n-1)+2)
+        velocity(n, 3) = velocityBlock(3*(n-1)+3)
+
+      END DO
+      DEALLOCATE(velocityBlock)
+      REWIND(fileID)
+
+      !Read the species temperature
+      line = findLine(fileID, 'Name="Temperature')
+      ALLOCATE(temperature(1:numNodes))
+      CALL readDataBlock(fileID, numNodes, temperature)
+      REWIND(fileID)
 
     END SUBROUTINE readInitialVTU
 

From ba2b5bc6f3f9c7ee4b1a3f9f627c34b42eee6fef Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 7 Feb 2023 09:43:28 +0100
Subject: [PATCH 099/203] Fixed issue with initial velocity

The problem was that the number of values for velocity was numNodes and
not 3*numNodes.
---
 src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index c62dec1..f58564e 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -530,7 +530,7 @@ MODULE moduleMeshInputVTU
       !Read the species velocity
       line = findLine(fileID, 'Name="Velocity')
       ALLOCATE(velocityBlock(1:3*numNodes))
-      CALL readDataBlock(fileID, numNodes, velocityBlock)
+      CALL readDataBlock(fileID, 3*numNodes, velocityBlock)
       ALLOCATE(velocity(1:numNodes, 1:3))
       DO n = 1, numNodes
         velocity(n, 1) = velocityBlock(3*(n-1)+1)

From e9ac9bdd80668e75214e43d4ac6b21884573e086 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 7 Feb 2023 15:19:13 +0100
Subject: [PATCH 100/203] Finishing implementation of vtu mesh format

I have tested all geometries and cases and all seem to work perfectly
with .vtu meshes.

Input and output works great, starting from a previous case also works.
Everything I was able to test is okay.

Still, what I want to do is to change a few things in the output (e.g.,
    change OUTPUT prefix to Step) and try to improve reading gmsh meshes
to make them more compact as vtu is now.
---
 src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index f58564e..763517f 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -334,7 +334,7 @@ MODULE moduleMeshInputVTU
 
           CASE(2)
             IF (types(n) == 3) THEN
-              e = e+1
+              e = e + 1
               ALLOCATE(p(1:2))
               p(1) = connectivity(offsets(n) - 1)
               p(2) = connectivity(offsets(n))
@@ -359,7 +359,7 @@ MODULE moduleMeshInputVTU
             END IF
 
           CASE(1)
-            IF (types(n) == 3) THEN
+            IF (types(n) == 1) THEN
               e = e + 1
               ALLOCATE(p(1:1))
               p(1) = connectivity(offsets(n))

From 2c559135013a6a6c06418f57ea2fc089a2eba9e9 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 7 Feb 2023 16:02:36 +0100
Subject: [PATCH 101/203] First version of vtu file format

After some testing and making things a bit better and more general, I am
quite happy with the implementation of vtu and it seems that it is
working (at least as good as Gmsh2).

There are some procedures that might be useful for other XML-like
formats that might be moved in the future to the common module (I am
    thinking right now in the implementation of a general format like
    XDMF3).
---
 doc/user-manual/fpakc_UserManual.pdf          | Bin 181522 -> 181687 bytes
 doc/user-manual/fpakc_UserManual.tex          |   5 +--
 src/makefile                                  |   1 +
 .../inout/gmsh2/moduleMeshOutputGmsh2.f90     |  20 +++++------
 src/modules/mesh/inout/makefile               |   5 ++-
 .../mesh/inout/moduleMeshInoutCommon.f90      |  27 +++++++++++++++
 .../mesh/inout/vtu/moduleMeshOutputVTU.f90    |  32 ++++--------------
 7 files changed, 51 insertions(+), 39 deletions(-)
 create mode 100644 src/modules/mesh/inout/moduleMeshInoutCommon.f90

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index 154eb5b6131721f0d957daba28b534627dd05e2b..da9471c2e3131c41080d8a832dc6ef1febb6fe46 100644
GIT binary patch
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index 62e8f50..a55c7dd 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -448,10 +448,11 @@ make
                                \end{itemize}
           \item \textbf{meshType}: Character.
                                    Format of mesh file.
+                                   The output will be written in the same format as specified here.
                                    Accepted formats are:
                                    \begin{itemize}
-                                     \item \textbf{gmsh2}: \Gls{gmsh} file format in version 2.0.
-                                     \item \textbf{vtu}: \Gls{vtu} file format.
+                                     \item \textbf{gmsh2}: \Gls{gmsh} file format in version 2.0. This has to be in ASCII format.
+                                     \item \textbf{vtu}: \Gls{vtu} file format. This has to be in ASCII format.
                                    \end{itemize}
           \item \textbf{meshFile}: Character.
                                    Mesh filename.
diff --git a/src/makefile b/src/makefile
index 3223e41..39a39a7 100644
--- a/src/makefile
+++ b/src/makefile
@@ -5,6 +5,7 @@ OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/module
 			  	$(OBJDIR)/moduleCollisions.o $(OBJDIR)/moduleTable.o $(OBJDIR)/moduleParallel.o \
 			  	$(OBJDIR)/moduleEM.o $(OBJDIR)/moduleRandom.o $(OBJDIR)/moduleMath.o \
 					$(OBJDIR)/moduleProbe.o $(OBJDIR)/moduleAverage.o \
+					$(OBJDIR)/moduleMeshInoutCommon.o \
 			  	$(OBJDIR)/moduleMeshInputVTU.o $(OBJDIR)/moduleMeshOutputVTU.o \
 			  	$(OBJDIR)/moduleMeshInputGmsh2.o $(OBJDIR)/moduleMeshOutputGmsh2.o \
 			  	$(OBJDIR)/moduleMeshInput0D.o $(OBJDIR)/moduleMeshOutput0D.o \
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index 52e3922..2217daf 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -85,6 +85,7 @@ MODULE moduleMeshOutputGmsh2
       USE moduleRefParam
       USE moduleSpecies
       USE moduleOutput
+      USE moduleMeshInoutCommon
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self
@@ -93,13 +94,11 @@ MODULE moduleMeshOutputGmsh2
       TYPE(outputFormat):: output(1:self%numNodes)
       REAL(8):: time
       CHARACTER(:), ALLOCATABLE:: fileName
-      CHARACTER (LEN=iterationDigits):: tstring
 
       time = DBLE(t)*tauMin*ti_ref
 
       DO i = 1, nSpecies
-        WRITE(tstring, iterationFormat) t
-        fileName= 'OUTPUT_' // tstring// '_' // species(i)%obj%name // '.msh'
+        fileName = formatFileName(prefix, species(i)%obj%name, 'msh', t)
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (60, file = path // folder // '/' //  fileName)
 
@@ -142,6 +141,7 @@ MODULE moduleMeshOutputGmsh2
       USE moduleCaseParam
       USE moduleCollisions
       USE moduleOutput
+      USE moduleMeshInoutCommon
       IMPLICIT NONE
 
       CLASS(meshGeneric), INTENT(in):: self
@@ -151,7 +151,6 @@ MODULE moduleMeshOutputGmsh2
       INTEGER:: n
       REAL(8):: time
       CHARACTER(:), ALLOCATABLE:: fileName
-      CHARACTER (LEN=iterationDigits):: tString
       CHARACTER(:), ALLOCATABLE:: title
       CHARACTER (LEN=2):: cString
 
@@ -169,9 +168,8 @@ MODULE moduleMeshOutputGmsh2
 
       IF (collOutput) THEN
         time = DBLE(t)*tauMin*ti_ref
-        WRITE(tString, iterationFormat) t
 
-        fileName='OUTPUT_' // tString// '_Collisions.msh'
+        fileName = formatFileName(prefix, 'Collisions', 'msh', t)
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (60, file = path // folder // '/' //  fileName)
 
@@ -203,6 +201,7 @@ MODULE moduleMeshOutputGmsh2
       USE moduleRefParam
       USE moduleCaseParam
       USE moduleOutput
+      USE moduleMeshInoutCommon
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self
@@ -210,16 +209,14 @@ MODULE moduleMeshOutputGmsh2
       INTEGER:: n, e
       REAL(8):: time
       CHARACTER(:), ALLOCATABLE:: fileName
-      CHARACTER (LEN=iterationDigits):: tstring
       REAL(8):: Xi(1:3)
 
       Xi = (/ 0.D0, 0.D0, 0.D0 /)
 
       IF (emOutput) THEN
         time = DBLE(t)*tauMin*ti_ref
-        WRITE(tstring, iterationFormat) t
 
-        fileName='OUTPUT_' // tstring// '_EMField.msh'
+        fileName = formatFileName(prefix, 'Collisions', 'msh', t)
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (20, file = path // folder // '/' //  fileName)
 
@@ -256,6 +253,7 @@ MODULE moduleMeshOutputGmsh2
       USE moduleSpecies
       USE moduleOutput
       USE moduleAverage
+      USE moduleMeshInoutCommon
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self
@@ -265,11 +263,11 @@ MODULE moduleMeshOutputGmsh2
       INTEGER:: fileMean=10, fileDeviation=20
 
       DO i = 1, nSpecies
-        fileName= 'Average_mean_' // species(i)%obj%name // '.msh'
+        fileName = formatFileName('Average_mean', species(i)%obj%name, 'msh')
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (fileMean, file = path // folder // '/' //  fileName)
 
-        fileName= 'Average_deviation_' // species(i)%obj%name // '.msh'
+        fileName = formatFileName('Average_deviation', species(i)%obj%name, 'msh')
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (filedeviation, file = path // folder // '/' //  fileName)
 
diff --git a/src/modules/mesh/inout/makefile b/src/modules/mesh/inout/makefile
index e686b87..a93161d 100644
--- a/src/modules/mesh/inout/makefile
+++ b/src/modules/mesh/inout/makefile
@@ -1,6 +1,6 @@
 all: vtu.o gmsh2.o 0D.o
 
-vtu.o:
+vtu.o: moduleMeshInoutCommon.o
 	$(MAKE) -C vtu all
 
 gmsh2.o:
@@ -8,3 +8,6 @@ gmsh2.o:
 
 0D.o:
 	$(MAKE) -C 0D all
+
+%.o: %.f90
+	$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@
diff --git a/src/modules/mesh/inout/moduleMeshInoutCommon.f90 b/src/modules/mesh/inout/moduleMeshInoutCommon.f90
new file mode 100644
index 0000000..e4a6c72
--- /dev/null
+++ b/src/modules/mesh/inout/moduleMeshInoutCommon.f90
@@ -0,0 +1,27 @@
+MODULE moduleMeshInoutCommon
+
+  CHARACTER(LEN=4):: prefix = 'Step'
+
+  CONTAINS
+    PURE FUNCTION formatFileName(prefix, suffix, extension, t) RESULT(fileName)
+      USE moduleOutput
+      IMPLICIT NONE
+
+      CHARACTER(*), INTENT(in):: prefix, suffix, extension
+      INTEGER, INTENT(in), OPTIONAL:: t
+      CHARACTER (LEN=iterationDigits):: tString
+      CHARACTER(:), ALLOCATABLE:: fileName
+
+      IF (PRESENT(t)) THEN
+        WRITE(tString, iterationFormat) t
+        fileName = prefix //  '_' // tString // '_' // suffix // '.' // extension
+
+      ELSE
+        fileName = prefix //  '_' // suffix // '.' // extension
+
+      END IF
+
+    END FUNCTION formatFileName
+
+
+END MODULE moduleMeshInoutCommon
diff --git a/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
index 6b0889f..6286cfc 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
@@ -1,29 +1,7 @@
 MODULE moduleMeshOutputVTU
 
-  CHARACTER(LEN=6):: prefix = 'OUTPUT'
-
   CONTAINS
 
-    PURE FUNCTION formatFileName(prefix, suffix, extension, t) RESULT(fileName)
-      USE moduleOutput
-      IMPLICIT NONE
-
-      CHARACTER(*), INTENT(in):: prefix, suffix, extension
-      INTEGER, INTENT(in), OPTIONAL:: t
-      CHARACTER (LEN=iterationDigits):: tString
-      CHARACTER(:), ALLOCATABLE:: fileName
-
-      IF (PRESENT(t)) THEN
-        WRITE(tString, iterationFormat) t
-        fileName = prefix //  '_' // tString // '_' // suffix // '.' // extension
-
-      ELSE
-        fileName = prefix //  '_' // suffix // '.' // extension
-
-      END IF
-
-    END FUNCTION formatFileName
-
     SUBROUTINE writeHeader(nNodes, nCells, fileID)
       USE moduleMesh
       IMPLICIT NONE
@@ -332,6 +310,7 @@ MODULE moduleMeshOutputVTU
     SUBROUTINE printOutputVTU(self,t)
       USE moduleMesh
       USE moduleSpecies
+      USE moduleMeshInoutCommon
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self
@@ -358,7 +337,7 @@ MODULE moduleMeshOutputVTU
         CLOSE(fileID)
 
         !Write collection file for time plotting
-        fileNameCollection = formatFileName(prefix, 'Collection_' // species(i)%obj%name, 'pvd')
+        fileNameCollection = formatFileName('Collection', species(i)%obj%name, 'pvd')
         CALL writeCollection(fileID, t, fileName, filenameCollection)
 
       END DO
@@ -368,6 +347,7 @@ MODULE moduleMeshOutputVTU
     SUBROUTINE printCollVTU(self,t)
       USE moduleMesh
       USE moduleOutput
+      USE moduleMeshInoutCommon
       IMPLICIT NONE
 
       CLASS(meshGeneric), INTENT(in):: self
@@ -395,7 +375,7 @@ MODULE moduleMeshOutputVTU
         CLOSE(fileID)
 
         !Write collection file for time plotting
-        fileNameCollection = formatFileName(prefix, 'Collection_Collisions', 'pvd')
+        fileNameCollection = formatFileName('Collection', 'Collisions', 'pvd')
         CALL writeCollection(fileID, t, fileName, filenameCollection)
 
       END IF
@@ -404,6 +384,7 @@ MODULE moduleMeshOutputVTU
 
     SUBROUTINE printEMVTU(self, t)
       USE moduleMesh
+      USE moduleMeshInoutCommon
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self
@@ -429,7 +410,7 @@ MODULE moduleMeshOutputVTU
         CLOSE(fileID)
 
         !Write collection file for time plotting
-        fileNameCollection = formatFileName(prefix, 'Collection_EMField', 'pvd')
+        fileNameCollection = formatFileName('Collection', 'EMField', 'pvd')
         CALL writeCollection(fileID, t, fileName, filenameCollection)
 
       END IF
@@ -439,6 +420,7 @@ MODULE moduleMeshOutputVTU
     SUBROUTINE printAverageVTU(self)
       USE moduleMesh
       USE moduleSpecies
+      USE moduleMeshInoutCommon
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self

From f86641110ce6bf86e55ac7cd600dbcc3f2f25976 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 9 Feb 2023 12:15:18 +0100
Subject: [PATCH 102/203] Issue in connectivity between Quad elements

For unstructured meshes, the quad elements where not being propertly
connected as not all possibilities were tested. This should be fixed
now.
---
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 108 +++++++++++++++----
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   | 108 +++++++++++++++----
 2 files changed, 176 insertions(+), 40 deletions(-)

diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index c02078a..d50263b 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -1012,38 +1012,106 @@ MODULE moduleMesh2DCart
       CLASS(meshCell2DCartQuad), INTENT(inout), TARGET:: elemB
 
       !Check direction 1
-      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
-          elemA%n1%n == elemB%n4%n   .AND. &
-          elemA%n2%n == elemB%n3%n) THEN
-        elemA%e1 => elemB
-        elemB%e3 => elemA
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (elemA%n1%n == elemB%n4%n .AND. &
+                elemA%n2%n == elemB%n3%n) THEN
+          elemA%e1 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n3%n .AND. &
+                elemA%n2%n == elemB%n2%n) THEN
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
+                elemA%n2%n == elemB%n1%n) THEN
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n1%n .AND. &
+                elemA%n2%n == elemB%n4%n) THEN
+          elemA%e1 => elemB
+          elemB%e4 => elemA
+
+        END IF
 
       END IF
 
       !Check direction 2
-      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
-          elemA%n2%n == elemB%n1%n   .AND. &
-          elemA%n3%n == elemB%n4%n) THEN
-        elemA%e2 => elemB
-        elemB%e4 => elemA
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (elemA%n2%n == elemB%n1%n .AND. &
+                elemA%n3%n == elemB%n4%n) THEN
+          elemA%e2 => elemB
+          elemB%e4 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n4%n .AND. &
+                elemA%n3%n == elemB%n3%n) THEN
+          elemA%e2 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n3%n .AND. &
+                elemA%n3%n == elemB%n2%n) THEN
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
+                elemA%n3%n == elemB%n1%n) THEN
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        END IF
 
       END IF
 
       !Check direction 3
-      IF (.NOT. ASSOCIATED(elemA%e3) .AND. &
-          elemA%n3%n == elemB%n2%n   .AND. &
-          elemA%n4%n == elemB%n1%n) THEN
-        elemA%e3 => elemB
-        elemB%e1 => elemA
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (elemA%n3%n == elemB%n2%n .AND. &
+                elemA%n4%n == elemB%n1%n) THEN
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n1%n .AND. &
+                elemA%n4%n == elemB%n4%n) THEN
+          elemA%e3 => elemB
+          elemB%e4 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n4%n .AND. &
+                elemA%n4%n == elemB%n3%n) THEN
+          elemA%e3 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n3%n .AND. &
+                elemA%n4%n == elemB%n2%n) THEN
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+        END IF
 
       END IF
 
       !Check direction 4
-      IF (.NOT. ASSOCIATED(elemA%e4) .AND. &
-          elemA%n4%n == elemB%n3%n   .AND. &
-          elemA%n1%n == elemB%n2%n) THEN
-        elemA%e4 => elemB
-        elemB%e2 => elemA
+      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
+        IF     (elemA%n4%n == elemB%n3%n .AND. &
+                elemA%n1%n == elemB%n2%n) THEN
+          elemA%e4 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
+                elemA%n1%n == elemB%n1%n) THEN
+          elemA%e4 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n1%n .AND. &
+                elemA%n1%n == elemB%n4%n) THEN
+          elemA%e4 => elemB
+          elemB%e4 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n4%n .AND. &
+                elemA%n1%n == elemB%n3%n) THEN
+          elemA%e4 => elemB
+          elemB%e3 => elemA
+
+        END IF
 
       END IF
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 307f71c..f6f2b26 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -1050,38 +1050,106 @@ MODULE moduleMesh2DCyl
       CLASS(meshCell2DCylQuad), INTENT(inout), TARGET:: elemB
 
       !Check direction 1
-      IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
-          elemA%n1%n == elemB%n4%n   .AND. &
-          elemA%n2%n == elemB%n3%n) THEN
-        elemA%e1 => elemB
-        elemB%e3 => elemA
+      IF (.NOT. ASSOCIATED(elemA%e1)) THEN
+        IF     (elemA%n1%n == elemB%n4%n .AND. &
+                elemA%n2%n == elemB%n3%n) THEN
+          elemA%e1 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n3%n .AND. &
+                elemA%n2%n == elemB%n2%n) THEN
+          elemA%e1 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n2%n .AND. &
+                elemA%n2%n == elemB%n1%n) THEN
+          elemA%e1 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n1%n == elemB%n1%n .AND. &
+                elemA%n2%n == elemB%n4%n) THEN
+          elemA%e1 => elemB
+          elemB%e4 => elemA
+
+        END IF
 
       END IF
 
       !Check direction 2
-      IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
-          elemA%n2%n == elemB%n1%n   .AND. &
-          elemA%n3%n == elemB%n4%n) THEN
-        elemA%e2 => elemB
-        elemB%e4 => elemA
+      IF (.NOT. ASSOCIATED(elemA%e2)) THEN
+        IF     (elemA%n2%n == elemB%n1%n .AND. &
+                elemA%n3%n == elemB%n4%n) THEN
+          elemA%e2 => elemB
+          elemB%e4 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n4%n .AND. &
+                elemA%n3%n == elemB%n3%n) THEN
+          elemA%e2 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n3%n .AND. &
+                elemA%n3%n == elemB%n2%n) THEN
+          elemA%e2 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n2%n == elemB%n2%n .AND. &
+                elemA%n3%n == elemB%n1%n) THEN
+          elemA%e2 => elemB
+          elemB%e1 => elemA
+
+        END IF
 
       END IF
 
       !Check direction 3
-      IF (.NOT. ASSOCIATED(elemA%e3) .AND. &
-          elemA%n3%n == elemB%n2%n   .AND. &
-          elemA%n4%n == elemB%n1%n) THEN
-        elemA%e3 => elemB
-        elemB%e1 => elemA
+      IF (.NOT. ASSOCIATED(elemA%e3)) THEN
+        IF     (elemA%n3%n == elemB%n2%n .AND. &
+                elemA%n4%n == elemB%n1%n) THEN
+          elemA%e3 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n1%n .AND. &
+                elemA%n4%n == elemB%n4%n) THEN
+          elemA%e3 => elemB
+          elemB%e4 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n4%n .AND. &
+                elemA%n4%n == elemB%n3%n) THEN
+          elemA%e3 => elemB
+          elemB%e3 => elemA
+
+        ELSEIF (elemA%n3%n == elemB%n3%n .AND. &
+                elemA%n4%n == elemB%n2%n) THEN
+          elemA%e3 => elemB
+          elemB%e2 => elemA
+
+        END IF
 
       END IF
 
       !Check direction 4
-      IF (.NOT. ASSOCIATED(elemA%e4) .AND. &
-          elemA%n4%n == elemB%n3%n   .AND. &
-          elemA%n1%n == elemB%n2%n) THEN
-        elemA%e4 => elemB
-        elemB%e2 => elemA
+      IF (.NOT. ASSOCIATED(elemA%e4)) THEN
+        IF     (elemA%n4%n == elemB%n3%n .AND. &
+                elemA%n1%n == elemB%n2%n) THEN
+          elemA%e4 => elemB
+          elemB%e2 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n2%n .AND. &
+                elemA%n1%n == elemB%n1%n) THEN
+          elemA%e4 => elemB
+          elemB%e1 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n1%n .AND. &
+                elemA%n1%n == elemB%n4%n) THEN
+          elemA%e4 => elemB
+          elemB%e4 => elemA
+
+        ELSEIF (elemA%n4%n == elemB%n4%n .AND. &
+                elemA%n1%n == elemB%n3%n) THEN
+          elemA%e4 => elemB
+          elemB%e3 => elemA
+
+        END IF
 
       END IF
 

From de1d4567f374e8fc94349b9d619c505adf8e480f Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 9 Feb 2023 15:32:04 +0100
Subject: [PATCH 103/203] Issue for particles in quad cell

Due to a high convergence value (1.0e-2) in phy2logQuad (variable conv),
    particles were being stuck in some elements, reaching a segmentation
    fault. The new limit (1.0e-4) should avoid this.
---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 | 2 +-
 src/modules/mesh/moduleMesh.f90            | 4 ++--
 2 files changed, 3 insertions(+), 3 deletions(-)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index f6f2b26..f8e41b3 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -524,7 +524,7 @@ MODULE moduleMesh2DCyl
       conv = 1.D0
       XiO  = 0.D0
 
-      DO WHILE(conv > 1.D-2)
+      DO WHILE(conv > 1.D-4)
         dPsi = self%dPsi(XiO, 4)
         pDer = self%partialDer(4, dPsi)
         detJ = self%detJac(pDer)
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index cb252e8..0804059 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -639,8 +639,8 @@ MODULE moduleMesh
       CLASS(meshCell), INTENT(inout):: self
       CLASS(particle), INTENT(inout), TARGET:: part
       CLASS(meshCell), OPTIONAL, INTENT(in):: oldCell
-      REAL(8):: Xi(1:3)
-      CLASS(meshElement), POINTER:: neighbourElement
+      REAL(8):: Xi(1:3) = 0.D0
+      CLASS(meshElement), POINTER:: neighbourElement => NULL()
       INTEGER:: sp
 
       Xi = self%phy2log(part%r)

From 60477481dd67a4e1fb9f4baecf87fa7003ee2c8b Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 9 Feb 2023 16:48:49 +0100
Subject: [PATCH 104/203] Adds the commit to the output folder

I thought it will be a good idea to write the commit into the output
folder to better track the code version responsible for the results.
---
 src/modules/solver/moduleSolver.f90 | 5 +++++
 1 file changed, 5 insertions(+)

diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index e557495..da2c9c4 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -518,6 +518,11 @@ MODULE moduleSolver
 
       INTEGER, INTENT(in):: t
 
+      IF (t == tInitial) THEN
+        CALL SYSTEM('git rev-parse HEAD > ' // path // folder // '/' // 'fpack_commit.txt')
+
+      END IF
+
       counterOutput = counterOutput + 1
       IF (counterOutput >= triggerOutput .OR. &
           t == tFinal .OR. t == tInitial) THEN

From 4e9a5929822bf6a5314fbe386e35b70267e9724f Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 10 Feb 2023 18:53:19 +0100
Subject: [PATCH 105/203] Returning to previous version of moduleMesh.f90

Having initialization in some variables was causing issues in 1D
geometry, so I reverted the file to one working.
---
 src/modules/mesh/moduleMesh.f90 | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 0804059..cb252e8 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -639,8 +639,8 @@ MODULE moduleMesh
       CLASS(meshCell), INTENT(inout):: self
       CLASS(particle), INTENT(inout), TARGET:: part
       CLASS(meshCell), OPTIONAL, INTENT(in):: oldCell
-      REAL(8):: Xi(1:3) = 0.D0
-      CLASS(meshElement), POINTER:: neighbourElement => NULL()
+      REAL(8):: Xi(1:3)
+      CLASS(meshElement), POINTER:: neighbourElement
       INTEGER:: sp
 
       Xi = self%phy2log(part%r)

From 8237aa90e92a2c05b5018c69dc4e96f71ac6209e Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 17 Feb 2023 12:48:23 +0100
Subject: [PATCH 106/203] Incorrect file name in Gmsh2 output

The file with the EMField was being writteng with the wrong name.
Quantities inside were correct.
---
 src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index 2217daf..ccdcf3d 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -216,7 +216,7 @@ MODULE moduleMeshOutputGmsh2
       IF (emOutput) THEN
         time = DBLE(t)*tauMin*ti_ref
 
-        fileName = formatFileName(prefix, 'Collisions', 'msh', t)
+        fileName = formatFileName(prefix, 'EMField', 'msh', t)
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (20, file = path // folder // '/' //  fileName)
 

From acc8505485a93d28163e8f511946ff4d0b1c4920 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 17 Feb 2023 13:03:22 +0100
Subject: [PATCH 107/203] Issue with -llapack option

Some versions of gfortran (in the foss framework) were having issues
with the -llpack flag, so it is disables as OpenBLAS takes the work.
---
 src/makefile | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/makefile b/src/makefile
index 39a39a7..c9c747d 100644
--- a/src/makefile
+++ b/src/makefile
@@ -23,7 +23,7 @@ all: $(OUTPUT)
 
 $(OUTPUT): modules.o $(OUTPUT).f90
 	$(FC) $(FCFLAGS) -o $(OBJDIR)/$(OUTPUT).o -c $(OUTPUT).f90
-	$(FC) $(FCFLAGS) -o $(TOPDIR)/$(OUTPUT) $(OBJECTS) $(OBJDIR)/$(OUTPUT).o $(JSONLIB) -L/usr/local/lib -llapack -lopenblas
+	$(FC) $(FCFLAGS) -o $(TOPDIR)/$(OUTPUT) $(OBJECTS) $(OBJDIR)/$(OUTPUT).o $(JSONLIB) -L/usr/local/lib -lopenblas
 
 modules.o:
 	$(MAKE) -C modules all

From 2ee6c1764eb5c22896a8ee456bbd98fb58b3fc23 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 23 Feb 2023 08:18:46 +0100
Subject: [PATCH 108/203] Probes were not working properly

Issue in the output of probes and in the detection of particles inside
the velocity grid.
---
 src/modules/moduleProbe.f90         | 8 +++++---
 src/modules/solver/moduleSolver.f90 | 3 ++-
 2 files changed, 7 insertions(+), 4 deletions(-)

diff --git a/src/modules/moduleProbe.f90 b/src/modules/moduleProbe.f90
index 2d2295a..83a567a 100644
--- a/src/modules/moduleProbe.f90
+++ b/src/modules/moduleProbe.f90
@@ -95,7 +95,7 @@ MODULE moduleProbe
       
       !Maximum radius
       !TODO: Make this an input parameter
-      self%maxR = 1.D-1/L_ref
+      self%maxR = 1.D0
 
       !Init the probe lock
       CALL OMP_INIT_LOCK(self%lock)
@@ -110,6 +110,8 @@ MODULE moduleProbe
       INTEGER, INTENT(out):: i, j, k
       LOGICAL, INTENT(out):: inside
 
+      inside = .TRUE.
+
       i = FLOOR((vp(1) - self%vi(1))/self%vrange(1)*(REAL(self%nv(1) - 1)) + 1.D0)
       IF (i >= self%nv(1) .OR. i <  1) inside = .FALSE.
       j = FLOOR((vp(2) - self%vj(1))/self%vrange(2)*(REAL(self%nv(2) - 1)) + 1.D0)
@@ -198,7 +200,7 @@ MODULE moduleProbe
 
       WRITE(tstring, iterationFormat) t
       WRITE(pstring, "(I3.3)") self%id
-      fileName='OUTPUT_' // tstring// '_f_' // pstring // '.dat'
+      fileName='Probe_' // tstring// '_f_' // pstring // '.dat'
       WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
       OPEN (10, file = path // folder // '/' //  fileName)
       WRITE(10, "(A1, 1X, A)")               "# ", self%species%name
@@ -268,7 +270,7 @@ MODULE moduleProbe
 
       DO i = 1, nProbes
         probe(i)%f = 0.D0
-        probe(i)%update = MOD(t, probe(i)%every) == 0 .OR. t == tFinal
+        probe(i)%update = MOD(t, probe(i)%every) == 0 .OR. t == tFinal .OR. t == tInitial
 
       END DO
 
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index da2c9c4..69d4055 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -523,6 +523,8 @@ MODULE moduleSolver
 
       END IF
 
+      CALL outputProbes(t)
+
       counterOutput = counterOutput + 1
       IF (counterOutput >= triggerOutput .OR. &
           t == tFinal .OR. t == tInitial) THEN
@@ -530,7 +532,6 @@ MODULE moduleSolver
         !Resets output counter
         counterOutput=0
 
-        CALL outputProbes(t)
         CALL mesh%printOutput(t)
         IF (ASSOCIATED(meshForMCC)) CALL meshForMCC%printColl(t)
         CALL mesh%printEM(t)

From 386ddd82dd538d1e62b4ee2e7f105ddc097332d6 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Thu, 23 Feb 2023 13:36:31 +0100
Subject: [PATCH 109/203] Probes in 0 iteration

Probes are now written at the 0 iteration.

Additionally, and this shouldn't be done, some small changes to the quad
elements. This should be done in a separate commit, but I'm lazy.
---
 src/modules/init/moduleInput.f90             |  6 ++++++
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 |  5 ++---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   |  3 +--
 src/modules/mesh/moduleMesh.f90              |  2 +-
 src/modules/moduleProbe.f90                  | 10 ++++++++--
 5 files changed, 18 insertions(+), 8 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index da43e98..e68a732 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -314,6 +314,7 @@ MODULE moduleInput
       USE moduleOutput
       USE moduleRefParam
       USE moduleRandom
+      USE moduleProbe
       USE json_module
       IMPLICIT NONE
 
@@ -420,6 +421,9 @@ MODULE moduleInput
 
               END IF
 
+              !Assign particles to probes
+              CALL doProbes(partNew)
+
             END DO
 
             DEALLOCATE(sourceScalar, sourceArray)
@@ -1089,6 +1093,8 @@ MODULE moduleInput
 
       END DO
 
+      CALL resetProbes(tInitial)
+
     END SUBROUTINE readProbes
 
     SUBROUTINE readEMBoundary(config)
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index d50263b..4341cb0 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -508,7 +508,7 @@ MODULE moduleMesh2DCart
       conv = 1.D0
       XiO  = 0.D0
 
-      DO WHILE(conv > 1.D-2)
+      DO WHILE(conv > 1.D-4)
         dPsi = self%dPsi(XiO, 4)
         pDer = self%partialDer(4, dPsi)
         detJ = self%detJac(pDer)
@@ -516,8 +516,7 @@ MODULE moduleMesh2DCart
         fPsi = self%fPsi(XiO, 4)
         f = (/ DOT_PRODUCT(fPsi,self%x), &
                DOT_PRODUCT(fPsi,self%y), &
-               0.D0 /)
-        f = f - r
+               0.D0 /) - r
         Xi = XiO - MATMUL(invJ, f)/detJ
         conv = MAXVAL(DABS(Xi-XiO),1)
         XiO = Xi
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index f8e41b3..a2ffb7a 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -532,8 +532,7 @@ MODULE moduleMesh2DCyl
         fPsi = self%fPsi(XiO, 4)
         f = (/ DOT_PRODUCT(fPsi,self%z), &
                DOT_PRODUCT(fPsi,self%r), &
-               0.D0 /)
-        f = f - r
+               0.D0 /) - r
         Xi = XiO - MATMUL(invJ, f)/detJ
         conv = MAXVAL(DABS(Xi-XiO),1)
         XiO = Xi
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index cb252e8..9a3c4ef 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -872,7 +872,7 @@ MODULE moduleMesh
 
                   !If particles do not belong to the species, skip collision
                   !This can happen, for example, if particle has been previously ionized or removed
-                  !TODO: Try to find a way to no lose these collisions. Maybe check new 'k' and use that for the collision, maybe?
+                  !TODO: Try to find a way to not lose these collisions. Maybe check new 'k' and use that for the collision?
                   IF (part_i%species%n /= i .OR. &
                       part_j%species%n /= j) THEN
                       CYCLE
diff --git a/src/modules/moduleProbe.f90 b/src/modules/moduleProbe.f90
index 83a567a..c7d3cf5 100644
--- a/src/modules/moduleProbe.f90
+++ b/src/modules/moduleProbe.f90
@@ -91,7 +91,13 @@ MODULE moduleProbe
                       1:self%nv(3)))
 
       !Number of iterations between output
-      self%every = NINT(timeStep/ tauMin / ti_ref)
+      IF (timeStep == 0.D0) THEN
+        self%every = 1
+
+      ELSE
+        self%every = NINT(timeStep/ tauMin / ti_ref)
+
+      END IF
       
       !Maximum radius
       !TODO: Make this an input parameter
@@ -270,7 +276,7 @@ MODULE moduleProbe
 
       DO i = 1, nProbes
         probe(i)%f = 0.D0
-        probe(i)%update = MOD(t, probe(i)%every) == 0 .OR. t == tFinal .OR. t == tInitial
+        probe(i)%update = t == tFinal .OR. t == tInitial .OR. MOD(t, probe(i)%every) == 0
 
       END DO
 

From 601103105f469573a453f6334a45db9f7c6cd2f9 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 24 Feb 2023 21:46:01 +0100
Subject: [PATCH 110/203] First attempt at Coulomb collisions

First attemp for Coulomb collisions based on the moments distribtuions.
Still the method is not done and far from being complete but input
options and basic math are implemented.
---
 src/fpakc.f90                         |   4 +-
 src/makefile                          |   2 +-
 src/modules/common/moduleRefParam.f90 |   2 +-
 src/modules/init/moduleInput.f90      |  38 +++++-
 src/modules/makefile                  |   7 +-
 src/modules/mesh/moduleMesh.f90       | 173 ++++++++++++++++++++++++--
 src/modules/moduleCoulomb.f90         |  91 ++++++++++++++
 src/modules/solver/moduleSolver.f90   |   4 +-
 8 files changed, 295 insertions(+), 26 deletions(-)
 create mode 100644 src/modules/moduleCoulomb.f90

diff --git a/src/fpakc.f90 b/src/fpakc.f90
index 3a8a033..e85f5f6 100644
--- a/src/fpakc.f90
+++ b/src/fpakc.f90
@@ -74,7 +74,7 @@ PROGRAM fpakc
     tColl = omp_get_wtime()
     !$OMP END SINGLE
 
-    IF (doMCC) THEN
+    IF (doMCCollisions) THEN
       CALL meshForMCC%doCollisions(t)
 
     END IF
@@ -86,7 +86,7 @@ PROGRAM fpakc
     tCoul = omp_get_wTime()
     !$OMP END SINGLE
 
-    IF (ASSOCIATED(mesh%doCoulomb)) THEN
+    IF (doCoulombScattering) THEN
       CALL mesh%doCoulomb()
 
     END IF
diff --git a/src/makefile b/src/makefile
index c9c747d..247c7d2 100644
--- a/src/makefile
+++ b/src/makefile
@@ -4,7 +4,7 @@ OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/module
 			  	$(OBJDIR)/moduleBoundary.o $(OBJDIR)/moduleCaseParam.o $(OBJDIR)/moduleRefParam.o \
 			  	$(OBJDIR)/moduleCollisions.o $(OBJDIR)/moduleTable.o $(OBJDIR)/moduleParallel.o \
 			  	$(OBJDIR)/moduleEM.o $(OBJDIR)/moduleRandom.o $(OBJDIR)/moduleMath.o \
-					$(OBJDIR)/moduleProbe.o $(OBJDIR)/moduleAverage.o \
+					$(OBJDIR)/moduleProbe.o $(OBJDIR)/moduleAverage.o $(OBJDIR)/moduleCoulomb.o \
 					$(OBJDIR)/moduleMeshInoutCommon.o \
 			  	$(OBJDIR)/moduleMeshInputVTU.o $(OBJDIR)/moduleMeshOutputVTU.o \
 			  	$(OBJDIR)/moduleMeshInputGmsh2.o $(OBJDIR)/moduleMeshOutputGmsh2.o \
diff --git a/src/modules/common/moduleRefParam.f90 b/src/modules/common/moduleRefParam.f90
index 051190b..e8819ce 100644
--- a/src/modules/common/moduleRefParam.f90
+++ b/src/modules/common/moduleRefParam.f90
@@ -3,7 +3,7 @@ MODULE moduleRefParam
   !Parameters that define the problem (inputs)
   REAL(8):: n_ref, m_ref, T_ref, r_ref, debye_ref, sigmaVrel_ref
   !Reference parameters for non-dimensional problem
-  REAL(8):: L_ref, v_ref, ti_ref, Vol_ref, EF_ref, Volt_ref, B_ref
+  REAL(8):: L_ref, v_ref, ti_ref, Vol_ref, EF_ref, Volt_ref, B_ref, e_ref
 
 END MODULE moduleRefParam
 
diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index e68a732..7af67db 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -144,6 +144,7 @@ MODULE moduleInput
       EF_ref    = qe*n_ref*L_ref/eps_0           !reference electric field
       Volt_ref  = EF_ref*L_ref                   !reference voltage
       B_ref     = m_ref / (ti_ref * qe)          !reference magnetic field
+      e_ref     = qe/(m_ref*v_ref**2)            !reference charge
 
       !If a reference cross section is given, it is used
       CALL config%get(object // '.sigmaVrel', sigmavRel_ref, found)
@@ -412,7 +413,7 @@ MODULE moduleInput
               CALL partInitial%add(partNew)
 
               !Assign particle to list in volume
-              IF (doMCC) THEN
+              IF (listInCells) THEN
                 cell => meshforMCC%cells(partNew%cellColl)%obj
                 CALL OMP_SET_LOCK(cell%lock)
                 CALL cell%listPart_in(sp)%add(partNew)
@@ -613,6 +614,7 @@ MODULE moduleInput
       USE moduleSpecies
       USE moduleList
       USE moduleCollisions
+      USE moduleCoulomb
       USE moduleErrors
       USE moduleMesh
       USE moduleCaseParam
@@ -640,10 +642,11 @@ MODULE moduleInput
       !Firstly, check if the object 'interactions' exists
       CALL config%info('interactions', found)
       IF (found) THEN
-        !Checks if MC collisions have been defined
+        !Check if MC collisions have been defined
         CALL config%info('interactions.collisions', found)
         IF (found) THEN
-          !Reads collision time step
+          doMCCollisions = .TRUE.
+          !Read collision time step
           CALL config%info('interactions.timeStep', found)
           IF (found) THEN
             CALL config%get('interactions.timeStep', tauColl, found)
@@ -752,8 +755,35 @@ MODULE moduleInput
 
         END IF
 
+        !Check if Coulomb scattering is defined
+        CALL config%info('interactions.Coulomb', found)
+        IF (found) THEN
+
+          CALL config%info('interactions.Coulomb', found, n_children = nPairs)
+          IF (nPairs > 0) THEN
+            nCoulombPairs = nPairs
+            doCoulombScattering = .TRUE.
+            ALLOCATE(coulombMatrix(1:nPairs))
+            DO i = 1, nPairs
+              WRITE(iString, '(I2)') i
+              object = 'interactions.Coulomb(' // TRIM(iString) // ')'
+              CALL config%get(object // '.species_i', species_i, found)
+              pt_i = speciesName2Index(species_i)
+              CALL config%get(object // '.species_j', species_j, found)
+              pt_j = speciesName2Index(species_j)
+
+              CALL coulombMatrix(i)%init(pt_i, pt_j)
+
+            END DO
+
+          END IF
+
+        END IF
+
       END IF
 
+      listInCells = doMCCollisions .OR. doCoulombScattering
+
     END SUBROUTINE readInteractions
 
     !Reads boundary conditions for the mesh
@@ -906,8 +936,6 @@ MODULE moduleInput
 
       END IF
 
-      doMCC = ASSOCIATED(meshForMCC)
-
       !Get the dimension of the geometry
       CALL config%get(object // '.dimension', mesh%dimen, found)
       IF (.NOT. found) THEN
diff --git a/src/modules/makefile b/src/modules/makefile
index 743144f..508bb56 100644
--- a/src/modules/makefile
+++ b/src/modules/makefile
@@ -1,6 +1,6 @@
 OBJS = common.o output.o mesh.o solver.o init.o \
 			 moduleBoundary.o moduleCollisions.o moduleInject.o \
-			 moduleList.o moduleProbe.o \
+			 moduleList.o moduleProbe.o moduleCoulomb.o \
 			 moduleSpecies.o
 
 all: $(OBJS)
@@ -11,7 +11,7 @@ common.o:
 output.o: moduleSpecies.o common.o
 	$(MAKE) -C output all
 
-mesh.o: moduleCollisions.o moduleBoundary.o output.o common.o 
+mesh.o: moduleCollisions.o moduleCoulomb.o moduleBoundary.o output.o common.o 
 	$(MAKE) -C mesh all
 
 solver.o: moduleSpecies.o moduleProbe.o common.o output.o mesh.o
@@ -26,6 +26,9 @@ moduleBoundary.o: common.o moduleBoundary.f90
 moduleCollisions.o: moduleList.o moduleSpecies.o common.o moduleCollisions.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
+moduleCoulomb.o: moduleSpecies.o common.o moduleCoulomb.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
 moduleList.o: common.o moduleSpecies.o moduleList.f90
 	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 9a3c4ef..6607fd0 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -300,7 +300,7 @@ MODULE moduleMesh
 
     END FUNCTION inside_interface
 
-    PURE FUNCTION phy2log_interface(self,r) RESULT(Xi) 
+    PURE FUNCTION phy2log_interface(self,r) RESULT(Xi)
       IMPORT:: meshCell
       CLASS(meshCell), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
@@ -387,17 +387,17 @@ MODULE moduleMesh
     !Array of boundary elements
     TYPE(meshEdgeCont), ALLOCATABLE:: edges(:)
     !Global stiffness matrix
-    REAL(8), ALLOCATABLE, DIMENSION(:,:):: K 
+    REAL(8), ALLOCATABLE, DIMENSION(:,:):: K
     !Permutation matrix for P L U factorization
     INTEGER, ALLOCATABLE, DIMENSION(:,:):: IPIV
     !PROCEDURES SPECIFIC OF FILE TYPE
     PROCEDURE(printOutput_interface),  POINTER, PASS:: printOutput  => NULL()
     PROCEDURE(printEM_interface),      POINTER, PASS:: printEM      => NULL()
-    PROCEDURE(doCoulomb_interface),    POINTER, PASS:: doCoulomb    => NULL()
     PROCEDURE(printAverage_interface), POINTER, PASS:: printAverage => NULL()
     CONTAINS
       !GENERIC PROCEDURES
       PROCEDURE, PASS:: constructGlobalK
+      PROCEDURE, PASS:: doCoulomb
 
   END TYPE meshParticles
 
@@ -424,7 +424,7 @@ MODULE moduleMesh
       CLASS(meshParticles), INTENT(inout):: self
 
     END SUBROUTINE doCoulomb_interface
-    
+
     !Prints average values
     SUBROUTINE printAverage_interface(self)
       IMPORT meshParticles
@@ -481,7 +481,11 @@ MODULE moduleMesh
   !Logical to indicate if an specific mesh for MC Collisions is used
   LOGICAL:: doubleMesh
   !Logical to indicate if MCC collisions are performed
-  LOGICAL:: doMCC
+  LOGICAL:: doMCCollisions = .FALSE.
+  !Logical to indicate if Coulomb scattering is performed
+  LOGICAL:: doCoulombScattering = .FALSE.
+  !Logica to indicate if particles have to be listed in list inside the cells
+  LOGICAL:: listInCells = .FALSE.
   !Complete path for the two meshes
   CHARACTER(:), ALLOCATABLE:: pathMeshColl, pathMeshParticle
 
@@ -511,7 +515,7 @@ MODULE moduleMesh
           END DO
 
         END DO
-        
+
         DEALLOCATE(n, localK)
 
       END DO
@@ -616,7 +620,7 @@ MODULE moduleMesh
       tensorS = outerProduct(part%v, part%v)
 
       sp = part%species%n
-      
+
       DO i = 1, nNodes
         node => mesh%nodes(cellNodes(i))%obj
         CALL OMP_SET_LOCK(node%lock)
@@ -650,7 +654,7 @@ MODULE moduleMesh
         part%Xi   = Xi
         part%n_in = .TRUE.
         !Assign particle to listPart_in
-        IF (doMCC) THEN
+        IF (listInCells) THEN
           CALL OMP_SET_LOCK(self%lock)
           sp = part%species%n
           CALL self%listPart_in(sp)%add(part)
@@ -673,7 +677,7 @@ MODULE moduleMesh
           CALL neighbourElement%fBoundary(part%species%n)%apply(neighbourElement,part)
 
           !If particle is still inside the domain, call findCell
-          IF (part%n_in) THEN 
+          IF (part%n_in) THEN
             IF(PRESENT(oldCell)) THEN
               CALL self%findCell(part, oldCell)
 
@@ -719,13 +723,13 @@ MODULE moduleMesh
       INTEGER:: sp
 
       found = .FALSE.
-      
+
       cell => meshColl%cells(part%cellColl)%obj
       DO WHILE(.NOT. found)
         Xi = cell%phy2log(part%r)
         IF (cell%inside(Xi)) THEN
           part%cellColl = cell%n
-          IF (doMCC) THEN
+          IF (listInCells) THEN
             CALL OMP_SET_LOCK(cell%lock)
             sp = part%species%n
             CALL cell%listPart_in(sp)%add(part)
@@ -923,7 +927,7 @@ MODULE moduleMesh
                     END DO
 
                   END IF
-                
+
                   !Deallocate arrays for next collision
                   DEALLOCATE(sigmaVrel, probabilityColl)
 
@@ -946,9 +950,152 @@ MODULE moduleMesh
     END SUBROUTINE doCollisions
 
     SUBROUTINE doCoulomb(self)
+      USE moduleCoulomb
+      USE moduleRandom
+      USE moduleOutput
+      USE moduleList
+      USE moduleMath
+      USE moduleRefParam
+      USE moduleConstParam
       IMPLICIT NONE
 
-      CLASS(meshParticles), INTENT(inout):: self
+      CLASS(meshParticles), INTENT(in), TARGET:: self
+      CLASS(meshCell), POINTER:: cell
+      INTEGER:: e
+      INTEGER:: k
+      INTEGER:: i, j
+      INTEGER:: n
+      TYPE(lNode), POINTER:: partTemp
+      REAL(8):: W(3), dW(2) !Relative velocity between particle and species and its increment
+      INTEGER(8), ALLOCATABLE:: cellNodes(:)
+      CLASS(meshNode), POINTER:: node
+      TYPE(outputFormat):: output
+      REAL(8), ALLOCATABLE:: densityNodes(:), velocityNodes(:,:), temperatureNodes(:) !values in node
+      REAL(8):: density, velocity(1:3), temperature!values at particle position
+      REAL(8), DIMENSION(1:3):: e1, e2, e3
+      REAL(8):: delta_par, delta_par_square, delta_per, delta_per_square
+      REAL(8):: l, lW, AW
+      REAL(8):: rnd
+
+
+      DO e = 1, self%numCells
+        cell => self%cells(e)%obj
+        cellNodes = cell%getNodes(cell%nNodes)
+
+        ALLOCATE(densityNodes(1:cell%nNodes),       &
+                 velocityNodes(1:cell%nNodes, 1:3), &
+                 temperatureNodes(1:cell%nNodes))
+
+        DO k=1, nCoulombPairs
+          i = coulombMatrix(k)%sp_i%n
+          j = coulombMatrix(k)%sp_j%n
+
+          !Do scattering of particles from species_i due to species j
+          !Compute background properties of species_j
+          DO n = 1, cell%nNodes
+            node => self%nodes(cellNodes(n))%obj
+            CALL calculateOutput(node%output(j), output, node%v, coulombMatrix(k)%sp_j)
+            densityNodes(n)      = output%density/n_ref
+            velocityNodes(n,1:3) = output%velocity(1:3)/v_ref
+            temperatureNodes(n)  = output%temperature/T_ref
+
+          END DO
+
+          !Loop over particles of species_i
+          partTemp => cell%listPart_in(i)%head
+          DO WHILE(ASSOCIATED(partTemp))
+            density     = cell%gatherF(partTemp%part%Xi, cell%nNodes, densityNodes)
+            velocity    = cell%gatherF(partTemp%part%Xi, cell%nNodes, velocityNodes)
+            temperature = cell%gatherF(partTemp%part%Xi, cell%nNodes, temperatureNodes)
+            l = coulombMatrix(k)%l_j/SQRT(temperature)
+
+            W = partTemp%part%v - velocity
+            lW = l * NORM2(W)
+            AW = coulombMatrix(k)%A_ij/NORM2(W)
+            !Axis of the relative velocity
+            !First one is parallel to the relative velocity
+            e1 = normalize(W)
+            !Second one is perpendicular to it
+            e2(1) = -e1(2)
+            e2(2) =  e1(1)
+            e2(3) =  0.D0
+            e2 = normalize(e2)
+            !Third one is perpendicular to the other two
+            e3 = crossProduct(e2, e1)
+            e3 = normalize(e3)
+
+            delta_par = -coulombMatrix(k)%A_ij*coulombMatrix(k)%one_plus_massRatio_ij*density*l**2*G(lW)
+
+            delta_par_square = AW*density*G(lW)
+
+            delta_per_square = AW*density*H(lW)
+
+            dW(1) = delta_par*tauMin + randomMaxwellian()*SQRT(delta_par_square*tauMin)
+            dW(2) =               DABS(randomMaxwellian()*SQRT(delta_per_square*tauMin))
+
+            rnd = random()
+            partTemp%part%v = partTemp%part%v + dW(1)*e1 + dW(2)*(COS(PI2*rnd)*e2 + &
+                                                                  SIN(PI2*rnd)*e3)
+
+            partTemp => partTemp%next
+
+          END DO
+
+          IF (i /= j) THEN
+            !Do scattering of particles from species_j due to species i
+            DO n = 1, cell%nNodes
+              node => self%nodes(cellNodes(n))%obj
+              CALL calculateOutput(node%output(i), output, node%v, coulombMatrix(k)%sp_i)
+              densityNodes(n)      = output%density/n_ref
+              velocityNodes(n,1:3) = output%velocity(1:3)/v_ref
+              temperatureNodes(n)  = output%temperature/T_ref
+
+            END DO
+
+            partTemp => cell%listPart_in(j)%head
+            DO WHILE(ASSOCIATED(partTemp))
+              density     = cell%gatherF(partTemp%part%Xi, cell%nNodes, densityNodes)
+              velocity    = cell%gatherF(partTemp%part%Xi, cell%nNodes, velocityNodes)
+              temperature = cell%gatherF(partTemp%part%Xi, cell%nNodes, temperatureNodes)
+              l = coulombMatrix(k)%l_i/SQRT(temperature)
+
+              W = partTemp%part%v - velocity
+              lW = l * NORM2(W)
+              AW = coulombMatrix(k)%A_ji/NORM2(W)
+              !Axis of the relative velocity
+              !First one is parallel to the relative velocity
+              e1 = normalize(W)
+              !Second one is perpendicular to it
+              e2(1) = -e1(2)
+              e2(2) =  e1(1)
+              e2(3) =  0.D0
+              e2 = normalize(e2)
+              !Third one is perpendicular to the other two
+              e3 = crossProduct(e2, e1)
+              e3 = normalize(e3)
+
+              delta_par = -coulombMatrix(k)%A_ji*coulombMatrix(k)%one_plus_massRatio_ji*density*l**2*G(lW)
+
+              delta_par_square = AW*density*G(lW)
+
+              delta_per_square = AW*density*H(lW)
+
+              dW(1) = delta_par*tauMin + randomMaxwellian()*SQRT(delta_par_square*tauMin)
+              dW(2) =               DABS(randomMaxwellian()*SQRT(delta_per_square*tauMin))
+
+              rnd = random()
+              partTemp%part%v = partTemp%part%v + dW(1)*e1 + dW(2)*(COS(PI2*rnd)*e2 + &
+                                                                    SIN(PI2*rnd)*e3)
+
+              partTemp => partTemp%next
+
+            END DO
+
+          END IF
+
+        END DO
+
+      END DO
 
     END SUBROUTINE doCoulomb
 
diff --git a/src/modules/moduleCoulomb.f90 b/src/modules/moduleCoulomb.f90
new file mode 100644
index 0000000..734b898
--- /dev/null
+++ b/src/modules/moduleCoulomb.f90
@@ -0,0 +1,91 @@
+MODULE moduleCoulomb
+  USE moduleSpecies
+  IMPLICIT NONE
+
+  INTEGER:: nCoulombPairs = 0
+
+  !Type for Coulomb iteraction matrix
+  TYPE:: interactionsCoulomb
+    CLASS(speciesGeneric), POINTER:: sp_i
+    CLASS(speciesGeneric), POINTER:: sp_j
+    REAL(8):: one_plus_massRatio_ij, one_plus_massRatio_ji
+    REAL(8):: lnCoulomb !This can be done a function in the future
+    REAL(8):: A_ij, A_ji
+    REAL(8):: l_j, l_i
+    CONTAINS
+      PROCEDURE, PASS:: init => initInteractionCoulomb
+
+  END TYPE interactionsCoulomb
+
+  !Coulomb collision 'matrix'
+  TYPE(interactionsCoulomb), ALLOCATABLE:: coulombMatrix(:)
+
+  CONTAINS
+    PURE REAL(8) FUNCTION G(x)
+      USE moduleConstParam
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: x
+
+      G = 0.D0
+      IF (x /= 0.D0) THEN
+        G = (ERF(x) - x*2.D0/SQRT(PI)*EXP(-x**2))/(2.D0*x**2)
+
+      END IF
+
+    END FUNCTION G
+
+    PURE REAL(8) FUNCTION H(x)
+      IMPLICIT NONE
+
+      REAL(8), INTENT(in):: x
+
+      H = ERF(x) - G(x)
+
+    END FUNCTION H
+
+    SUBROUTINE initInteractionCoulomb(self, i, j)
+      USE moduleSpecies
+      USE moduleErrors
+      USE moduleConstParam
+      USE moduleRefParam
+      IMPLICIT NONE
+
+      CLASS(interactionsCoulomb), INTENT(out):: self
+      INTEGER, INTENT(in):: i, j
+      REAL(8):: Z_i, Z_j
+
+      self%sp_i => species(i)%obj
+      self%sp_j => species(j)%obj
+
+      self%one_plus_massRatio_ij = 1.D0 + (self%sp_i%weight*self%sp_i%m)/(self%sp_j%weight*self%sp_j%m)
+      self%one_plus_massRatio_ji = 1.D0 + (self%sp_j%weight*self%sp_j%m)/(self%sp_i%weight*self%sp_i%m)
+
+      SELECT TYPE(sp => self%sp_i)
+      TYPE IS (speciesCharged)
+        Z_i = sp%q
+
+      CLASS DEFAULT
+        CALL criticalError('Species ' // sp%name // ' for Coulomb scattering has no charge', 'initInteractionCoulomb')
+
+      END SELECT
+
+      SELECT TYPE(sp => self%sp_j)
+      TYPE IS (speciesCharged)
+        Z_j = sp%q
+
+      CLASS DEFAULT
+        CALL criticalError('Species ' // sp%name // ' for Coulomb scattering has no charge', 'initInteractionCoulomb')
+
+      END SELECT
+
+      self%lnCoulomb = 12.0
+      self%A_ij = 8.D0*PI*Z_i**2*Z_j**2*e_ref**4*self%lnCoulomb / self%sp_i%m
+      self%A_ji = 8.D0*PI*Z_j**2*Z_i**2*e_ref**4*self%lnCoulomb / self%sp_j%m
+
+      self%l_j = SQRT(self%sp_j%m / 2.D0) !Missing temperature because it's cell dependent
+      self%l_i = SQRT(self%sp_i%m / 2.D0) !Missing temperature because it's cell dependent
+
+    END SUBROUTINE initInteractionCoulomb
+
+END MODULE moduleCoulomb
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index 69d4055..12f9e9a 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -322,7 +322,7 @@ MODULE moduleSolver
 
       !$OMP SECTION
       !Erase the list of particles inside the cell if particles have been pushed
-      IF (doMCC) THEN
+      IF (listInCells) THEN
         DO s = 1, nSpecies
           DO e = 1, mesh%numCells
             IF (solver%pusher(s)%pushSpecies) THEN 
@@ -456,7 +456,7 @@ MODULE moduleSolver
         CALL partWScheme%unsetLock()
         !Add particle to cell list
         sp = part%species%n
-        IF (doMCC) THEN
+        IF (listInCells) THEN
           CALL OMP_SET_lock(cell%lock)
           CALL cell%listPart_in(sp)%add(newPart)
           CALL OMP_UNSET_lock(cell%lock)

From 6113ac3305799e734b6032b671a696ffc9fe63ab Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Mon, 6 Mar 2023 16:16:17 +0100
Subject: [PATCH 111/203] Correction with conservation

Now the method is much better in conserving total energy.
However, still there is an issue with collisions between species of
dispaprate mass.
---
 src/modules/mesh/moduleMesh.f90 | 91 ++++++++++++++++++---------------
 src/modules/moduleCoulomb.f90   | 15 +++---
 2 files changed, 59 insertions(+), 47 deletions(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 6607fd0..478fd83 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -966,7 +966,6 @@ MODULE moduleMesh
       INTEGER:: i, j
       INTEGER:: n
       TYPE(lNode), POINTER:: partTemp
-      REAL(8):: W(3), dW(2) !Relative velocity between particle and species and its increment
       INTEGER(8), ALLOCATABLE:: cellNodes(:)
       CLASS(meshNode), POINTER:: node
       TYPE(outputFormat):: output
@@ -974,7 +973,8 @@ MODULE moduleMesh
       REAL(8):: density, velocity(1:3), temperature!values at particle position
       REAL(8), DIMENSION(1:3):: e1, e2, e3
       REAL(8):: delta_par, delta_par_square, delta_per, delta_per_square
-      REAL(8):: l, lW, AW
+      REAL(8):: W(3), dW(2), normW !Relative velocity between particle and species and its increment
+      REAL(8):: l2, l, lW, AW
       REAL(8):: rnd
 
 
@@ -1007,12 +1007,25 @@ MODULE moduleMesh
             density     = cell%gatherF(partTemp%part%Xi, cell%nNodes, densityNodes)
             velocity    = cell%gatherF(partTemp%part%Xi, cell%nNodes, velocityNodes)
             temperature = cell%gatherF(partTemp%part%Xi, cell%nNodes, temperatureNodes)
-            l = coulombMatrix(k)%l_j/SQRT(temperature)
+
+            l2 = coulombMatrix(k)%l2_j/temperature
+            l  = SQRT(l2)
 
             W = partTemp%part%v - velocity
-            lW = l * NORM2(W)
-            AW = coulombMatrix(k)%A_ij/NORM2(W)
-            !Axis of the relative velocity
+            normW = NORM2(W)
+            lW = l * normW
+            AW = coulombMatrix(k)%A_i/normW
+
+            delta_par = -coulombMatrix(k)%A_i*coulombMatrix(k)%one_plus_massRatio_ij*density*l2*G(lW)
+
+            delta_par_square = AW*density*G(lW)
+
+            delta_per_square = AW*density*H(lW)
+
+            dW(1) = delta_par*tauMin + randomMaxwellian()*SQRT(delta_par_square*tauMin)
+            dW(2) =                ABS(randomMaxwellian()*SQRT(delta_per_square*tauMin))
+
+            !System of reference for the velocity change
             !First one is parallel to the relative velocity
             e1 = normalize(W)
             !Second one is perpendicular to it
@@ -1024,18 +1037,12 @@ MODULE moduleMesh
             e3 = crossProduct(e2, e1)
             e3 = normalize(e3)
 
-            delta_par = -coulombMatrix(k)%A_ij*coulombMatrix(k)%one_plus_massRatio_ij*density*l**2*G(lW)
+            !Random number for direction
+            rnd = PI2*random()
 
-            delta_par_square = AW*density*G(lW)
-
-            delta_per_square = AW*density*H(lW)
-
-            dW(1) = delta_par*tauMin + randomMaxwellian()*SQRT(delta_par_square*tauMin)
-            dW(2) =               DABS(randomMaxwellian()*SQRT(delta_per_square*tauMin))
-
-            rnd = random()
-            partTemp%part%v = partTemp%part%v + dW(1)*e1 + dW(2)*(COS(PI2*rnd)*e2 + &
-                                                                  SIN(PI2*rnd)*e3)
+            !Change particle velocity
+            partTemp%part%v = partTemp%part%v + dW(1)*e1 + dW(2)*(COS(rnd)*e2 + &
+                                                                  SIN(rnd)*e3)
 
             partTemp => partTemp%next
 
@@ -1049,20 +1056,33 @@ MODULE moduleMesh
               densityNodes(n)      = output%density/n_ref
               velocityNodes(n,1:3) = output%velocity(1:3)/v_ref
               temperatureNodes(n)  = output%temperature/T_ref
-
+          
             END DO
-
+          
             partTemp => cell%listPart_in(j)%head
             DO WHILE(ASSOCIATED(partTemp))
               density     = cell%gatherF(partTemp%part%Xi, cell%nNodes, densityNodes)
               velocity    = cell%gatherF(partTemp%part%Xi, cell%nNodes, velocityNodes)
               temperature = cell%gatherF(partTemp%part%Xi, cell%nNodes, temperatureNodes)
-              l = coulombMatrix(k)%l_i/SQRT(temperature)
-
+          
+              l2 = coulombMatrix(k)%l2_i/temperature
+              l  = SQRT(l2)
+          
               W = partTemp%part%v - velocity
-              lW = l * NORM2(W)
-              AW = coulombMatrix(k)%A_ji/NORM2(W)
-              !Axis of the relative velocity
+              normW = NORM2(W)
+              lW = l * normW
+              AW = coulombMatrix(k)%A_j/normW
+
+              delta_par = -coulombMatrix(k)%A_j*coulombMatrix(k)%one_plus_massRatio_ji*density*l2*G(lW)
+          
+              delta_par_square = AW*density*G(lW)
+          
+              delta_per_square = AW*density*H(lW)
+          
+              dW(1) = delta_par*tauMin + randomMaxwellian()*SQRT(delta_par_square*tauMin)
+              dW(2) =                ABS(randomMaxwellian()*SQRT(delta_per_square*tauMin))
+          
+              !System of reference for the velocity change
               !First one is parallel to the relative velocity
               e1 = normalize(W)
               !Second one is perpendicular to it
@@ -1073,24 +1093,15 @@ MODULE moduleMesh
               !Third one is perpendicular to the other two
               e3 = crossProduct(e2, e1)
               e3 = normalize(e3)
-
-              delta_par = -coulombMatrix(k)%A_ji*coulombMatrix(k)%one_plus_massRatio_ji*density*l**2*G(lW)
-
-              delta_par_square = AW*density*G(lW)
-
-              delta_per_square = AW*density*H(lW)
-
-              dW(1) = delta_par*tauMin + randomMaxwellian()*SQRT(delta_par_square*tauMin)
-              dW(2) =               DABS(randomMaxwellian()*SQRT(delta_per_square*tauMin))
-
-              rnd = random()
-              partTemp%part%v = partTemp%part%v + dW(1)*e1 + dW(2)*(COS(PI2*rnd)*e2 + &
-                                                                    SIN(PI2*rnd)*e3)
-
+          
+              rnd = PI2*random()
+              partTemp%part%v = partTemp%part%v + dW(1)*e1 + dW(2)*(COS(rnd)*e2 + &
+                                                                    SIN(rnd)*e3)
+          
               partTemp => partTemp%next
-
+          
             END DO
-
+          
           END IF
 
         END DO
diff --git a/src/modules/moduleCoulomb.f90 b/src/modules/moduleCoulomb.f90
index 734b898..775caad 100644
--- a/src/modules/moduleCoulomb.f90
+++ b/src/modules/moduleCoulomb.f90
@@ -10,8 +10,8 @@ MODULE moduleCoulomb
     CLASS(speciesGeneric), POINTER:: sp_j
     REAL(8):: one_plus_massRatio_ij, one_plus_massRatio_ji
     REAL(8):: lnCoulomb !This can be done a function in the future
-    REAL(8):: A_ij, A_ji
-    REAL(8):: l_j, l_i
+    REAL(8):: A_i, A_j
+    REAL(8):: l2_j, l2_i
     CONTAINS
       PROCEDURE, PASS:: init => initInteractionCoulomb
 
@@ -79,12 +79,13 @@ MODULE moduleCoulomb
 
       END SELECT
 
-      self%lnCoulomb = 12.0
-      self%A_ij = 8.D0*PI*Z_i**2*Z_j**2*e_ref**4*self%lnCoulomb / self%sp_i%m
-      self%A_ji = 8.D0*PI*Z_j**2*Z_i**2*e_ref**4*self%lnCoulomb / self%sp_j%m
+      self%lnCoulomb = 12.0 !Make this function dependent
 
-      self%l_j = SQRT(self%sp_j%m / 2.D0) !Missing temperature because it's cell dependent
-      self%l_i = SQRT(self%sp_i%m / 2.D0) !Missing temperature because it's cell dependent
+      self%A_i = 8.D0*PI*Z_i**2*Z_j**2*self%lnCoulomb / self%sp_i%m**2
+      self%A_j = 8.D0*PI*Z_j**2*Z_i**2*self%lnCoulomb / self%sp_j%m**2
+
+      self%l2_j = self%sp_j%m / 2.D0 !Missing temperature because it's cell dependent
+      self%l2_i = self%sp_i%m / 2.D0 !Missing temperature because it's cell dependent
 
     END SUBROUTINE initInteractionCoulomb
 

From f8af7a8dae9106b22d29caed88388e8f58d6ff7d Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Tue, 7 Mar 2023 10:10:54 +0100
Subject: [PATCH 112/203] No progress in fixing Coulomb collisions with mass
 ratio

I am starting to think that the only fix is to reduce the time step, but
that is too harsh.
---
 src/modules/mesh/moduleMesh.f90 | 34 ++++++++++++++++++++-------------
 src/modules/moduleCoulomb.f90   |  2 +-
 2 files changed, 22 insertions(+), 14 deletions(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 478fd83..c80eec3 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -978,6 +978,7 @@ MODULE moduleMesh
       REAL(8):: rnd
 
 
+      !$OMP SINGLE
       DO e = 1, self%numCells
         cell => self%cells(e)%obj
         cellNodes = cell%getNodes(cell%nNodes)
@@ -1016,6 +1017,7 @@ MODULE moduleMesh
             lW = l * normW
             AW = coulombMatrix(k)%A_i/normW
 
+
             delta_par = -coulombMatrix(k)%A_i*coulombMatrix(k)%one_plus_massRatio_ij*density*l2*G(lW)
 
             delta_par_square = AW*density*G(lW)
@@ -1050,38 +1052,40 @@ MODULE moduleMesh
 
           IF (i /= j) THEN
             !Do scattering of particles from species_j due to species i
+            !Compute background properties of species_i
             DO n = 1, cell%nNodes
               node => self%nodes(cellNodes(n))%obj
               CALL calculateOutput(node%output(i), output, node%v, coulombMatrix(k)%sp_i)
               densityNodes(n)      = output%density/n_ref
               velocityNodes(n,1:3) = output%velocity(1:3)/v_ref
               temperatureNodes(n)  = output%temperature/T_ref
-          
+  
             END DO
-          
+
+            !Loop over particles of species_j
             partTemp => cell%listPart_in(j)%head
             DO WHILE(ASSOCIATED(partTemp))
               density     = cell%gatherF(partTemp%part%Xi, cell%nNodes, densityNodes)
               velocity    = cell%gatherF(partTemp%part%Xi, cell%nNodes, velocityNodes)
               temperature = cell%gatherF(partTemp%part%Xi, cell%nNodes, temperatureNodes)
-          
+
               l2 = coulombMatrix(k)%l2_i/temperature
               l  = SQRT(l2)
-          
+  
               W = partTemp%part%v - velocity
               normW = NORM2(W)
               lW = l * normW
               AW = coulombMatrix(k)%A_j/normW
-
+  
               delta_par = -coulombMatrix(k)%A_j*coulombMatrix(k)%one_plus_massRatio_ji*density*l2*G(lW)
-          
+  
               delta_par_square = AW*density*G(lW)
-          
+  
               delta_per_square = AW*density*H(lW)
-          
+
               dW(1) = delta_par*tauMin + randomMaxwellian()*SQRT(delta_par_square*tauMin)
               dW(2) =                ABS(randomMaxwellian()*SQRT(delta_per_square*tauMin))
-          
+
               !System of reference for the velocity change
               !First one is parallel to the relative velocity
               e1 = normalize(W)
@@ -1093,20 +1097,24 @@ MODULE moduleMesh
               !Third one is perpendicular to the other two
               e3 = crossProduct(e2, e1)
               e3 = normalize(e3)
-          
+  
+              !Random number for direction
               rnd = PI2*random()
+  
+              !Change particle velocity
               partTemp%part%v = partTemp%part%v + dW(1)*e1 + dW(2)*(COS(rnd)*e2 + &
                                                                     SIN(rnd)*e3)
-          
+  
               partTemp => partTemp%next
-          
+  
             END DO
-          
+
           END IF
 
         END DO
 
       END DO
+      !$OMP END SINGLE
 
     END SUBROUTINE doCoulomb
 
diff --git a/src/modules/moduleCoulomb.f90 b/src/modules/moduleCoulomb.f90
index 775caad..85f4f49 100644
--- a/src/modules/moduleCoulomb.f90
+++ b/src/modules/moduleCoulomb.f90
@@ -79,7 +79,7 @@ MODULE moduleCoulomb
 
       END SELECT
 
-      self%lnCoulomb = 12.0 !Make this function dependent
+      self%lnCoulomb = 10.0 !Make this function dependent
 
       self%A_i = 8.D0*PI*Z_i**2*Z_j**2*self%lnCoulomb / self%sp_i%m**2
       self%A_j = 8.D0*PI*Z_j**2*Z_i**2*self%lnCoulomb / self%sp_j%m**2

From fe94615a275abd17ff23cc62c2eb4ecd4cfbaa32 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Wed, 8 Mar 2023 16:37:45 +0100
Subject: [PATCH 113/203] First conservative implementation of Coulomb

I am doing a trick in which I ensure that energy is conserved for
Coulomb collisions. This was not happening and what an issue for
different mass ratios. Still, this can cause an issue on getting the
right relaxation rates, still necessary to check it.
---
 src/modules/common/moduleRefParam.f90 |  2 +-
 src/modules/init/moduleInput.f90      |  1 -
 src/modules/mesh/moduleMesh.f90       | 29 ++++++++++++++++++---------
 src/modules/moduleCoulomb.f90         |  7 +++++--
 4 files changed, 26 insertions(+), 13 deletions(-)

diff --git a/src/modules/common/moduleRefParam.f90 b/src/modules/common/moduleRefParam.f90
index e8819ce..051190b 100644
--- a/src/modules/common/moduleRefParam.f90
+++ b/src/modules/common/moduleRefParam.f90
@@ -3,7 +3,7 @@ MODULE moduleRefParam
   !Parameters that define the problem (inputs)
   REAL(8):: n_ref, m_ref, T_ref, r_ref, debye_ref, sigmaVrel_ref
   !Reference parameters for non-dimensional problem
-  REAL(8):: L_ref, v_ref, ti_ref, Vol_ref, EF_ref, Volt_ref, B_ref, e_ref
+  REAL(8):: L_ref, v_ref, ti_ref, Vol_ref, EF_ref, Volt_ref, B_ref
 
 END MODULE moduleRefParam
 
diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 7af67db..c8beb0f 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -144,7 +144,6 @@ MODULE moduleInput
       EF_ref    = qe*n_ref*L_ref/eps_0           !reference electric field
       Volt_ref  = EF_ref*L_ref                   !reference voltage
       B_ref     = m_ref / (ti_ref * qe)          !reference magnetic field
-      e_ref     = qe/(m_ref*v_ref**2)            !reference charge
 
       !If a reference cross section is given, it is used
       CALL config%get(object // '.sigmaVrel', sigmavRel_ref, found)
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index c80eec3..a62cfb2 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -975,10 +975,11 @@ MODULE moduleMesh
       REAL(8):: delta_par, delta_par_square, delta_per, delta_per_square
       REAL(8):: W(3), dW(2), normW !Relative velocity between particle and species and its increment
       REAL(8):: l2, l, lW, AW
+      REAL(8):: deltaV(1:3), totalDeltaV_ij, normDeltaV
       REAL(8):: rnd
 
 
-      !$OMP SINGLE
+      !$OMP DO SCHEDULE(DYNAMIC) PRIVATE(partTemp)
       DO e = 1, self%numCells
         cell => self%cells(e)%obj
         cellNodes = cell%getNodes(cell%nNodes)
@@ -1003,6 +1004,7 @@ MODULE moduleMesh
           END DO
 
           !Loop over particles of species_i
+          totalDeltaV_ij = 0.D0
           partTemp => cell%listPart_in(i)%head
           DO WHILE(ASSOCIATED(partTemp))
             density     = cell%gatherF(partTemp%part%Xi, cell%nNodes, densityNodes)
@@ -1036,16 +1038,18 @@ MODULE moduleMesh
             e2(3) =  0.D0
             e2 = normalize(e2)
             !Third one is perpendicular to the other two
-            e3 = crossProduct(e2, e1)
+            e3 = crossProduct(e1, e2)
             e3 = normalize(e3)
 
             !Random number for direction
             rnd = PI2*random()
 
-            !Change particle velocity
-            partTemp%part%v = partTemp%part%v + dW(1)*e1 + dW(2)*(COS(rnd)*e2 + &
-                                                                  SIN(rnd)*e3)
+            deltaV =  dW(1)*e1 + dW(2)*(COS(rnd)*e2 + SIN(rnd)*e3)
 
+            totalDeltaV_ij = totalDeltaV_ij + NORM2(deltaV)
+            !Change particle velocity
+            partTemp%part%v = partTemp%part%v + deltaV
+                                               
             partTemp => partTemp%next
 
           END DO
@@ -1062,6 +1066,8 @@ MODULE moduleMesh
   
             END DO
 
+            !Divide total momentum exchanged among all the particles of species j
+            normDeltaV = totalDeltaV_ij / REAL(cell%listPart_in(j)%amount) * (self%sp_i%weight*self%sp_i%m)/(self%sp_j%weight*self%sp_j%m)
             !Loop over particles of species_j
             partTemp => cell%listPart_in(j)%head
             DO WHILE(ASSOCIATED(partTemp))
@@ -1086,6 +1092,10 @@ MODULE moduleMesh
               dW(1) = delta_par*tauMin + randomMaxwellian()*SQRT(delta_par_square*tauMin)
               dW(2) =                ABS(randomMaxwellian()*SQRT(delta_per_square*tauMin))
 
+              !Normalize with average exchange per particle
+              !TODO: This is a dirty trick, it should not be neccessary but I don't lnow why it is.
+              dW = normDeltaV*dW/NORM2(dW)
+
               !System of reference for the velocity change
               !First one is parallel to the relative velocity
               e1 = normalize(W)
@@ -1095,15 +1105,16 @@ MODULE moduleMesh
               e2(3) =  0.D0
               e2 = normalize(e2)
               !Third one is perpendicular to the other two
-              e3 = crossProduct(e2, e1)
+              e3 = crossProduct(e1, e2)
               e3 = normalize(e3)
   
               !Random number for direction
               rnd = PI2*random()
   
+              deltaV =  dW(1)*e1 + dW(2)*(COS(rnd)*e2 + SIN(rnd)*e3)
+
               !Change particle velocity
-              partTemp%part%v = partTemp%part%v + dW(1)*e1 + dW(2)*(COS(rnd)*e2 + &
-                                                                    SIN(rnd)*e3)
+              partTemp%part%v = partTemp%part%v + deltaV
   
               partTemp => partTemp%next
   
@@ -1114,7 +1125,7 @@ MODULE moduleMesh
         END DO
 
       END DO
-      !$OMP END SINGLE
+      !$OMP END DO
 
     END SUBROUTINE doCoulomb
 
diff --git a/src/modules/moduleCoulomb.f90 b/src/modules/moduleCoulomb.f90
index 85f4f49..ab931e0 100644
--- a/src/modules/moduleCoulomb.f90
+++ b/src/modules/moduleCoulomb.f90
@@ -54,6 +54,7 @@ MODULE moduleCoulomb
       CLASS(interactionsCoulomb), INTENT(out):: self
       INTEGER, INTENT(in):: i, j
       REAL(8):: Z_i, Z_j
+      REAL(8):: scaleFactor
 
       self%sp_i => species(i)%obj
       self%sp_j => species(j)%obj
@@ -81,8 +82,10 @@ MODULE moduleCoulomb
 
       self%lnCoulomb = 10.0 !Make this function dependent
 
-      self%A_i = 8.D0*PI*Z_i**2*Z_j**2*self%lnCoulomb / self%sp_i%m**2
-      self%A_j = 8.D0*PI*Z_j**2*Z_i**2*self%lnCoulomb / self%sp_j%m**2
+      scaleFactor = (n_ref * qe**4) / (eps_0**2 * m_ref**2 * v_ref**3) * ti_ref
+
+      self%A_i = 2.D0*Z_i**2*Z_j**2*self%lnCoulomb / self%sp_i%m**2 * scaleFactor
+      self%A_j = 2.D0*Z_j**2*Z_i**2*self%lnCoulomb / self%sp_j%m**2 * scaleFactor
 
       self%l2_j = self%sp_j%m / 2.D0 !Missing temperature because it's cell dependent
       self%l2_i = self%sp_i%m / 2.D0 !Missing temperature because it's cell dependent

From a70788b95d66d69f017c6b1d3e34e4e5b1e442fd Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Wed, 8 Mar 2023 19:42:15 +0100
Subject: [PATCH 114/203] Fix an issue with compilation

Copy paste error. Now the code compiles.
---
 src/modules/mesh/moduleMesh.f90 | 6 +++++-
 1 file changed, 5 insertions(+), 1 deletion(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index a62cfb2..7c3c4c3 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -1067,7 +1067,9 @@ MODULE moduleMesh
             END DO
 
             !Divide total momentum exchanged among all the particles of species j
-            normDeltaV = totalDeltaV_ij / REAL(cell%listPart_in(j)%amount) * (self%sp_i%weight*self%sp_i%m)/(self%sp_j%weight*self%sp_j%m)
+            normDeltaV = totalDeltaV_ij / REAL(cell%listPart_in(j)%amount) *       &
+                         (coulombMatrix(k)%sp_i%weight*coulombMatrix(k)%sp_i%m) /  &
+                         (coulombMatrix(k)%sp_j%weight*coulombMatrix(k)%sp_j%m)
             !Loop over particles of species_j
             partTemp => cell%listPart_in(j)%head
             DO WHILE(ASSOCIATED(partTemp))
@@ -1124,6 +1126,8 @@ MODULE moduleMesh
 
         END DO
 
+        DEALLOCATE(densityNodes, velocityNodes, temperatureNodes)
+
       END DO
       !$OMP END DO
 

From f4448d9e7ad0c6c7a3d24d67f124b9181a601cdd Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 12 Mar 2023 17:02:12 +0100
Subject: [PATCH 115/203] Fixed segmentation fault in Coulomb collisions

When the relative velocity between a charged particle and the background
for Coulomb collisions (W in the code) was low, there was a
segmentation fault. This is fixed now as if the norm of the relative
velocity (normW) in the code is too low, no collision is applied.
---
 src/modules/mesh/moduleMesh.f90     | 16 ++++++++++++++++
 src/modules/solver/moduleSolver.f90 |  1 -
 2 files changed, 16 insertions(+), 1 deletion(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 7c3c4c3..c23990a 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -1016,6 +1016,14 @@ MODULE moduleMesh
 
             W = partTemp%part%v - velocity
             normW = NORM2(W)
+            IF (normW > 1.D-10) THEN
+              !If relative velocity is too low, skip collision and move to next particle
+              partTemp => partTemp%next
+
+              CYCLE
+
+            END IF
+              
             lW = l * normW
             AW = coulombMatrix(k)%A_i/normW
 
@@ -1082,6 +1090,14 @@ MODULE moduleMesh
   
               W = partTemp%part%v - velocity
               normW = NORM2(W)
+              IF (normW > 1.D-10) THEN
+                !If relative velocity is too low, skip collision and move to next particle
+                partTemp => partTemp%next
+
+                CYCLE
+
+              END IF
+              
               lW = l * normW
               AW = coulombMatrix(k)%A_j/normW
   
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index 12f9e9a..e539fed 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -70,7 +70,6 @@ MODULE moduleSolver
       CHARACTER(:), ALLOCATABLE:: pusherType
       REAL(8):: tau, tauSp
 
-      !TODO: Reorganize if Cart pushers are combined
       SELECT CASE(mesh%dimen)
       CASE(0)
         self%pushParticle => push0D

From ed6c2c46e4c6e9ca5efe13c750b9bc24eb95ef1e Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Wed, 29 Mar 2023 10:08:11 +0200
Subject: [PATCH 116/203] I'm a fucking idiot

The limit I set to avoid divisions by zero was wront and collisions were
being skipped. It is corrected now.
---
 src/modules/init/moduleInput.f90 | 2 +-
 src/modules/mesh/moduleMesh.f90  | 8 +++++---
 2 files changed, 6 insertions(+), 4 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index c8beb0f..6ac8318 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -155,7 +155,7 @@ MODULE moduleInput
           sigmaVrel_ref = PI*(r_ref+r_ref)**2*v_ref !reference cross section times velocity
 
         ELSE
-          sigmaVrel_ref = 0.D0 !Assume no collisions
+          sigmaVrel_ref = L_ref**2 * v_ref
 
         END IF
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index c23990a..03dd356 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -1016,7 +1016,7 @@ MODULE moduleMesh
 
             W = partTemp%part%v - velocity
             normW = NORM2(W)
-            IF (normW > 1.D-10) THEN
+            IF (normW < 1.D-12) THEN
               !If relative velocity is too low, skip collision and move to next particle
               partTemp => partTemp%next
 
@@ -1055,6 +1055,7 @@ MODULE moduleMesh
             deltaV =  dW(1)*e1 + dW(2)*(COS(rnd)*e2 + SIN(rnd)*e3)
 
             totalDeltaV_ij = totalDeltaV_ij + NORM2(deltaV)
+
             !Change particle velocity
             partTemp%part%v = partTemp%part%v + deltaV
                                                
@@ -1078,6 +1079,7 @@ MODULE moduleMesh
             normDeltaV = totalDeltaV_ij / REAL(cell%listPart_in(j)%amount) *       &
                          (coulombMatrix(k)%sp_i%weight*coulombMatrix(k)%sp_i%m) /  &
                          (coulombMatrix(k)%sp_j%weight*coulombMatrix(k)%sp_j%m)
+
             !Loop over particles of species_j
             partTemp => cell%listPart_in(j)%head
             DO WHILE(ASSOCIATED(partTemp))
@@ -1090,7 +1092,7 @@ MODULE moduleMesh
   
               W = partTemp%part%v - velocity
               normW = NORM2(W)
-              IF (normW > 1.D-10) THEN
+              IF (normW < 1.D-12) THEN
                 !If relative velocity is too low, skip collision and move to next particle
                 partTemp => partTemp%next
 
@@ -1111,7 +1113,7 @@ MODULE moduleMesh
               dW(2) =                ABS(randomMaxwellian()*SQRT(delta_per_square*tauMin))
 
               !Normalize with average exchange per particle
-              !TODO: This is a dirty trick, it should not be neccessary but I don't lnow why it is.
+              !TODO: This is a dirty trick to ensure conservation between species
               dW = normDeltaV*dW/NORM2(dW)
 
               !System of reference for the velocity change

From 94a4864e6a71d92f0dd08e6ecd83ec48a8ae76c2 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Mon, 22 May 2023 15:14:33 +0200
Subject: [PATCH 117/203] Issue with injection of particles

I was having a lot of issues trying to get quasi-neutrality with the
injection of electrons and ions. Main issue was a definition of the
direction of injection. This should be fixed now (tested in 1D).

Added a definition for Half-Maxwellian velocity distribution.

WARNING: I'm still not happy at all about the definition of the
direction of injection and the velocity definition to be in that
direction so I might change it at some point (for example take into
account the sign of each direction in the thermal part of the velocity)
---
 src/modules/init/moduleInput.f90 | 12 +++----
 src/modules/moduleInject.f90     | 57 ++++++++++++++++++++++++--------
 2 files changed, 49 insertions(+), 20 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 6ac8318..9891806 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -1222,7 +1222,6 @@ MODULE moduleInput
       CHARACTER(:), ALLOCATABLE:: name
       REAL(8):: v
       REAL(8), ALLOCATABLE:: T(:), normal(:)
-      LOGICAL:: fixDirection
       REAL(8):: flow
       CHARACTER(:), ALLOCATABLE:: units
       INTEGER:: physicalSurface
@@ -1243,10 +1242,7 @@ MODULE moduleInput
         CALL config%get(object // '.v',               v,               found)
         CALL config%get(object // '.T',               T,               found)
         CALL config%get(object // '.n',               normal,          found)
-        IF (found) THEN
-          fixDirection = .TRUE.
-        ELSE
-          fixDirection = .FALSE.
+        IF (.NOT. found) THEN
           ALLOCATE(normal(1:3))
           normal = 0.D0
         END IF
@@ -1254,7 +1250,7 @@ MODULE moduleInput
         CALL config%get(object // '.units',           units,           found)
         CALL config%get(object // '.physicalSurface', physicalSurface, found)
 
-        CALL inject(i)%init(i, v, normal, fixDirection, T, flow, units, sp, physicalSurface)
+        CALL inject(i)%init(i, v, normal, T, flow, units, sp, physicalSurface)
 
         CALL readVelDistr(config, inject(i), object)
         
@@ -1333,6 +1329,10 @@ MODULE moduleInput
           T = inj%T(i)
           CALL initVelDistMaxwellian(inj%v(i)%obj, t, m)
 
+        CASE ("Half-Maxwellian")
+          T = inj%T(i)
+          CALL initVelDistHalfMaxwellian(inj%v(i)%obj, t, m)
+
         CASE ("Delta")
           v = inj%vMod*inj%n(i)
           CALL initVelDistDelta(inj%v(i)%obj)
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index e49fb04..e551f0f 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -35,6 +35,13 @@ MODULE moduleInject
   
   END TYPE velDistMaxwellian
 
+  TYPE, EXTENDS(velDistGeneric):: velDistHalfMaxwellian
+    REAL(8):: vTh !Thermal Velocity
+    CONTAINS
+      PROCEDURE, PASS:: randomVel => randomVelHalfMaxwellian
+  
+  END TYPE velDistHalfMaxwellian
+
   !Dirac's delta distribution function
   TYPE, EXTENDS(velDistGeneric):: velDistDelta
     CONTAINS
@@ -68,7 +75,7 @@ MODULE moduleInject
 
   CONTAINS
     !Initialize an injection of particles
-    SUBROUTINE initInject(self, i, v, n, fixDirection, T, flow, units, sp, physicalSurface)
+    SUBROUTINE initInject(self, i, v, n, T, flow, units, sp, physicalSurface)
       USE moduleMesh
       USE moduleRefParam
       USE moduleConstParam
@@ -80,7 +87,6 @@ MODULE moduleInject
       CLASS(injectGeneric), INTENT(inout):: self
       INTEGER, INTENT(in):: i
       REAL(8), INTENT(in):: v, n(1:3), T(1:3)
-      LOGICAL, INTENT(in):: fixDirection
       INTEGER, INTENT(in):: sp, physicalSurface
       REAL(8):: tauInject
       REAL(8), INTENT(in):: flow
@@ -91,12 +97,7 @@ MODULE moduleInject
 
       self%id         =  i
       self%vMod       =  v / v_ref
-      IF (.NOT. fixDirection) THEN
-        self%n        =  n / NORM2(n)
-      ELSE
-        self%n        = 0.D0
-      END IF
-      self%fixDirection = fixDirection
+      self%n        =  n / NORM2(n)
       self%T          =  T / T_ref
       self%species    => species(sp)%obj
       tauInject = tau(self%species%n)
@@ -212,6 +213,16 @@ MODULE moduleInject
 
     END SUBROUTINE initVelDistMaxwellian
 
+    SUBROUTINE initVelDistHalfMaxwellian(velDist, T, m)
+      IMPLICIT NONE
+
+      CLASS(velDistGeneric), ALLOCATABLE, INTENT(out):: velDist
+      REAL(8), INTENT(in):: T, m
+
+      velDist = velDistHalfMaxwellian(vTh = DSQRT(T/m))
+
+    END SUBROUTINE initVelDistHalfMaxwellian
+
     SUBROUTINE initVelDistDelta(velDist)
       IMPLICIT NONE
 
@@ -234,6 +245,22 @@ MODULE moduleInject
 
     END FUNCTION randomVelMaxwellian
 
+    !Random velocity from Half Maxwellian distribution
+    FUNCTION randomVelHalfMaxwellian(self) RESULT (v)
+      USE moduleRandom
+      IMPLICIT NONE
+
+      CLASS(velDistHalfMaxwellian), INTENT(in):: self
+      REAL(8):: v
+      v = 0.D0
+
+      DO WHILE (v <= 0.D0)
+        v = self%vTh*randomMaxwellian()
+
+      END DO
+
+    END FUNCTION randomVelHalfMaxwellian
+
     !Random velocity from Dirac's delta distribution
     PURE FUNCTION randomVelDelta(self) RESULT(v)
       IMPLICIT NONE
@@ -305,18 +332,20 @@ MODULE moduleInject
         !Assign particle type
         partInj(n)%species => self%species
 
-        IF (self%fixDirection) THEN
-          direction = self%n
+        direction = self%n
 
-        ELSE
-          direction = randomEdge%normal
-
-        END IF
+        partInj(n)%v = 0.D0
 
         partInj(n)%v = self%vMod*direction +  (/ self%v(1)%obj%randomVel(), &
                                                  self%v(2)%obj%randomVel(), &
                                                  self%v(3)%obj%randomVel() /)
 
+        !If velocity is not in the right direction, invert it
+        IF (DOT_PRODUCT(direction, partInj(n)%v) < 0.D0) THEN
+          partInj(n)%v = - partInj(n)%v
+
+        END IF
+
         !Obtain natural coordinates of particle in cell
         partInj(n)%Xi = mesh%cells(partInj(n)%cell)%obj%phy2log(partInj(n)%r)
         !Push new particle with the minimum time step

From 2505cbecf20dc559a0babc62d56e89505f9e3db6 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Mon, 22 May 2023 15:20:11 +0200
Subject: [PATCH 118/203] Half-Maxwellian distribution added to the user manual

The option to have half-Maxwellian distributions in the injection of
particles has been added to the user manual.
---
 doc/user-manual/fpakc_UserManual.pdf | Bin 181687 -> 181729 bytes
 doc/user-manual/fpakc_UserManual.tex |   2 ++
 2 files changed, 2 insertions(+)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index da9471c2e3131c41080d8a832dc6ef1febb6fe46..0f549be45ee07a4401640d307fa3c5bdcc6e3cde 100644
GIT binary patch
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index a55c7dd..df29f33 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -619,6 +619,8 @@ make
                                   Type of distribution function used to obtain injected particle velocity:
                                   \begin{itemize}
                                     \item \textbf{Maxwellian}: Maxwellian distribution of temperature \textbf{T} and mean \textbf{v} times the value of \textbf{n} in the specified direction.
+                                    \item \textbf{Half-Maxwellian}: Half-Maxwellian distribution of temperature \textbf{T} and mean \textbf{v} times the value of \textbf{n} in the specified direction.
+                                                                    Only takes into account the positive part of the half-Maxwellian.
                                     \item \textbf{Delta}: Dirac's delta distribution function. All particles are injected with velocity \textbf{v} times the value of \textbf{n} in the specified direction.
                                   \end{itemize}
           \item \textbf{T}: Real.

From 8d35123508d032ed63c9c53f737e0b77155fb175 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 4 Jul 2023 17:01:02 +0200
Subject: [PATCH 119/203] First Coulomb implementation that works

After fixing all possible divisions by zero I was able to find in the
Coulomb collision I think that this is a first working implementation of
a Coulomb operator based on moments.

Still to test a few things, modify the manual but I would say that I'm
satisfiyed right now. This operator won't be used that often but maybe
improving efficiency is still needed.

In the future a binary operator is required to be able to study cases
out of Maxwellian equilibrium.
---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 |  2 +-
 src/modules/mesh/moduleMesh.f90            | 73 +++++++++++++++-------
 src/modules/moduleInject.f90               |  2 +-
 3 files changed, 51 insertions(+), 26 deletions(-)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index a2ffb7a..d4baedd 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -163,7 +163,7 @@ MODULE moduleMesh2DCyl
       r2 = self%n2%getCoordinates()
       self%z  = (/r1(1), r2(1)/)
       self%r  = (/r1(2), r2(2)/)
-      self%weight = SUM(self%r)*5.D-1
+      self%weight = r2(2)**2 - r1(2)**2
       !Normal vector
       self%normal = (/ -(self%r(2)-self%r(1)), &
                          self%z(2)-self%z(1) , &
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 03dd356..c5f301a 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -977,6 +977,7 @@ MODULE moduleMesh
       REAL(8):: l2, l, lW, AW
       REAL(8):: deltaV(1:3), totalDeltaV_ij, normDeltaV
       REAL(8):: rnd
+      REAL(8):: eps = 1.D-10
 
 
       !$OMP DO SCHEDULE(DYNAMIC) PRIVATE(partTemp)
@@ -1011,13 +1012,22 @@ MODULE moduleMesh
             velocity    = cell%gatherF(partTemp%part%Xi, cell%nNodes, velocityNodes)
             temperature = cell%gatherF(partTemp%part%Xi, cell%nNodes, temperatureNodes)
 
-            l2 = coulombMatrix(k)%l2_j/temperature
-            l  = SQRT(l2)
+            !If cell temperature is too low, skip particle to avoid division by zero
+            IF (temperature>eps) THEN
+              l2 = coulombMatrix(k)%l2_j/temperature
+              l  = SQRT(l2)
+
+            ELSE
+              partTemp => partTemp%next
+
+              CYCLE
+
+            END IF
 
             W = partTemp%part%v - velocity
             normW = NORM2(W)
-            IF (normW < 1.D-12) THEN
-              !If relative velocity is too low, skip collision and move to next particle
+            !If relative velocity is too low, skip collision to avoid division by zero and move to next particle
+            IF (normW < eps) THEN
               partTemp => partTemp%next
 
               CYCLE
@@ -1027,7 +1037,6 @@ MODULE moduleMesh
             lW = l * normW
             AW = coulombMatrix(k)%A_i/normW
 
-
             delta_par = -coulombMatrix(k)%A_i*coulombMatrix(k)%one_plus_massRatio_ij*density*l2*G(lW)
 
             delta_par_square = AW*density*G(lW)
@@ -1063,8 +1072,8 @@ MODULE moduleMesh
 
           END DO
 
+          !Do scattering of particles from species_j due to species i
           IF (i /= j) THEN
-            !Do scattering of particles from species_j due to species i
             !Compute background properties of species_i
             DO n = 1, cell%nNodes
               node => self%nodes(cellNodes(n))%obj
@@ -1072,10 +1081,11 @@ MODULE moduleMesh
               densityNodes(n)      = output%density/n_ref
               velocityNodes(n,1:3) = output%velocity(1:3)/v_ref
               temperatureNodes(n)  = output%temperature/T_ref
-  
+
             END DO
 
             !Divide total momentum exchanged among all the particles of species j
+            !TODO: This is a dirty trick to ensure conservation between species
             normDeltaV = totalDeltaV_ij / REAL(cell%listPart_in(j)%amount) *       &
                          (coulombMatrix(k)%sp_i%weight*coulombMatrix(k)%sp_i%m) /  &
                          (coulombMatrix(k)%sp_j%weight*coulombMatrix(k)%sp_j%m)
@@ -1087,26 +1097,35 @@ MODULE moduleMesh
               velocity    = cell%gatherF(partTemp%part%Xi, cell%nNodes, velocityNodes)
               temperature = cell%gatherF(partTemp%part%Xi, cell%nNodes, temperatureNodes)
 
-              l2 = coulombMatrix(k)%l2_i/temperature
-              l  = SQRT(l2)
-  
-              W = partTemp%part%v - velocity
-              normW = NORM2(W)
-              IF (normW < 1.D-12) THEN
-                !If relative velocity is too low, skip collision and move to next particle
+              !If cell temperature is too low, skip particle to avoid division by zero
+              IF (temperature>eps) THEN
+                l2 = coulombMatrix(k)%l2_i/temperature
+                l  = SQRT(l2)
+
+              ELSE
                 partTemp => partTemp%next
 
                 CYCLE
 
               END IF
-              
+
+              W = partTemp%part%v - velocity
+              normW = NORM2(W)
+              !If relative velocity is too low, skip collision and move to next particle
+              IF (normW < eps) THEN
+                partTemp => partTemp%next
+
+                CYCLE
+
+              END IF
+
               lW = l * normW
               AW = coulombMatrix(k)%A_j/normW
-  
+
               delta_par = -coulombMatrix(k)%A_j*coulombMatrix(k)%one_plus_massRatio_ji*density*l2*G(lW)
-  
+
               delta_par_square = AW*density*G(lW)
-  
+
               delta_per_square = AW*density*H(lW)
 
               dW(1) = delta_par*tauMin + randomMaxwellian()*SQRT(delta_par_square*tauMin)
@@ -1114,7 +1133,13 @@ MODULE moduleMesh
 
               !Normalize with average exchange per particle
               !TODO: This is a dirty trick to ensure conservation between species
-              dW = normDeltaV*dW/NORM2(dW)
+              IF (NORM2(dW) > eps) THEN
+                dW = normDeltaV*dW/NORM2(dW)
+
+              ELSE
+                dW = 0.D0
+
+              END IF
 
               !System of reference for the velocity change
               !First one is parallel to the relative velocity
@@ -1127,24 +1152,24 @@ MODULE moduleMesh
               !Third one is perpendicular to the other two
               e3 = crossProduct(e1, e2)
               e3 = normalize(e3)
-  
+
               !Random number for direction
               rnd = PI2*random()
-  
+
               deltaV =  dW(1)*e1 + dW(2)*(COS(rnd)*e2 + SIN(rnd)*e3)
 
               !Change particle velocity
               partTemp%part%v = partTemp%part%v + deltaV
-  
+
               partTemp => partTemp%next
-  
+
             END DO
 
           END IF
 
         END DO
 
-        DEALLOCATE(densityNodes, velocityNodes, temperatureNodes)
+        DEALLOCATE(densityNodes, velocityNodes, temperatureNodes, cellNodes)
 
       END DO
       !$OMP END DO
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index e551f0f..4e57083 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -97,7 +97,7 @@ MODULE moduleInject
 
       self%id         =  i
       self%vMod       =  v / v_ref
-      self%n        =  n / NORM2(n)
+      self%n          =  n / NORM2(n)
       self%T          =  T / T_ref
       self%species    => species(sp)%obj
       tauInject = tau(self%species%n)

From a26dc04051ec370127be3218473dc45ea1918657 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Fri, 7 Jul 2023 16:36:31 +0200
Subject: [PATCH 120/203] I hate Coulomb and his Scattering

I found no way to ensure conservation in the linear Coulomb operator.
Thus, now two collisions have to be declared if sp_i /= sp_j: collision
ij and collision ji.

This does not conserve energy so please use under your own risk, like
everything else.

Still, I think something is wrong with this implementation and I'm
really tired.
---
 src/modules/mesh/moduleMesh.f90 | 101 +-------------------------------
 src/modules/moduleCoulomb.f90   |   9 +--
 2 files changed, 5 insertions(+), 105 deletions(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index c5f301a..b8d7501 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -975,7 +975,7 @@ MODULE moduleMesh
       REAL(8):: delta_par, delta_par_square, delta_per, delta_per_square
       REAL(8):: W(3), dW(2), normW !Relative velocity between particle and species and its increment
       REAL(8):: l2, l, lW, AW
-      REAL(8):: deltaV(1:3), totalDeltaV_ij, normDeltaV
+      REAL(8):: deltaV(1:3)
       REAL(8):: rnd
       REAL(8):: eps = 1.D-10
 
@@ -1005,7 +1005,6 @@ MODULE moduleMesh
           END DO
 
           !Loop over particles of species_i
-          totalDeltaV_ij = 0.D0
           partTemp => cell%listPart_in(i)%head
           DO WHILE(ASSOCIATED(partTemp))
             density     = cell%gatherF(partTemp%part%Xi, cell%nNodes, densityNodes)
@@ -1026,6 +1025,7 @@ MODULE moduleMesh
 
             W = partTemp%part%v - velocity
             normW = NORM2(W)
+
             !If relative velocity is too low, skip collision to avoid division by zero and move to next particle
             IF (normW < eps) THEN
               partTemp => partTemp%next
@@ -1063,8 +1063,6 @@ MODULE moduleMesh
 
             deltaV =  dW(1)*e1 + dW(2)*(COS(rnd)*e2 + SIN(rnd)*e3)
 
-            totalDeltaV_ij = totalDeltaV_ij + NORM2(deltaV)
-
             !Change particle velocity
             partTemp%part%v = partTemp%part%v + deltaV
                                                
@@ -1072,101 +1070,6 @@ MODULE moduleMesh
 
           END DO
 
-          !Do scattering of particles from species_j due to species i
-          IF (i /= j) THEN
-            !Compute background properties of species_i
-            DO n = 1, cell%nNodes
-              node => self%nodes(cellNodes(n))%obj
-              CALL calculateOutput(node%output(i), output, node%v, coulombMatrix(k)%sp_i)
-              densityNodes(n)      = output%density/n_ref
-              velocityNodes(n,1:3) = output%velocity(1:3)/v_ref
-              temperatureNodes(n)  = output%temperature/T_ref
-
-            END DO
-
-            !Divide total momentum exchanged among all the particles of species j
-            !TODO: This is a dirty trick to ensure conservation between species
-            normDeltaV = totalDeltaV_ij / REAL(cell%listPart_in(j)%amount) *       &
-                         (coulombMatrix(k)%sp_i%weight*coulombMatrix(k)%sp_i%m) /  &
-                         (coulombMatrix(k)%sp_j%weight*coulombMatrix(k)%sp_j%m)
-
-            !Loop over particles of species_j
-            partTemp => cell%listPart_in(j)%head
-            DO WHILE(ASSOCIATED(partTemp))
-              density     = cell%gatherF(partTemp%part%Xi, cell%nNodes, densityNodes)
-              velocity    = cell%gatherF(partTemp%part%Xi, cell%nNodes, velocityNodes)
-              temperature = cell%gatherF(partTemp%part%Xi, cell%nNodes, temperatureNodes)
-
-              !If cell temperature is too low, skip particle to avoid division by zero
-              IF (temperature>eps) THEN
-                l2 = coulombMatrix(k)%l2_i/temperature
-                l  = SQRT(l2)
-
-              ELSE
-                partTemp => partTemp%next
-
-                CYCLE
-
-              END IF
-
-              W = partTemp%part%v - velocity
-              normW = NORM2(W)
-              !If relative velocity is too low, skip collision and move to next particle
-              IF (normW < eps) THEN
-                partTemp => partTemp%next
-
-                CYCLE
-
-              END IF
-
-              lW = l * normW
-              AW = coulombMatrix(k)%A_j/normW
-
-              delta_par = -coulombMatrix(k)%A_j*coulombMatrix(k)%one_plus_massRatio_ji*density*l2*G(lW)
-
-              delta_par_square = AW*density*G(lW)
-
-              delta_per_square = AW*density*H(lW)
-
-              dW(1) = delta_par*tauMin + randomMaxwellian()*SQRT(delta_par_square*tauMin)
-              dW(2) =                ABS(randomMaxwellian()*SQRT(delta_per_square*tauMin))
-
-              !Normalize with average exchange per particle
-              !TODO: This is a dirty trick to ensure conservation between species
-              IF (NORM2(dW) > eps) THEN
-                dW = normDeltaV*dW/NORM2(dW)
-
-              ELSE
-                dW = 0.D0
-
-              END IF
-
-              !System of reference for the velocity change
-              !First one is parallel to the relative velocity
-              e1 = normalize(W)
-              !Second one is perpendicular to it
-              e2(1) = -e1(2)
-              e2(2) =  e1(1)
-              e2(3) =  0.D0
-              e2 = normalize(e2)
-              !Third one is perpendicular to the other two
-              e3 = crossProduct(e1, e2)
-              e3 = normalize(e3)
-
-              !Random number for direction
-              rnd = PI2*random()
-
-              deltaV =  dW(1)*e1 + dW(2)*(COS(rnd)*e2 + SIN(rnd)*e3)
-
-              !Change particle velocity
-              partTemp%part%v = partTemp%part%v + deltaV
-
-              partTemp => partTemp%next
-
-            END DO
-
-          END IF
-
         END DO
 
         DEALLOCATE(densityNodes, velocityNodes, temperatureNodes, cellNodes)
diff --git a/src/modules/moduleCoulomb.f90 b/src/modules/moduleCoulomb.f90
index ab931e0..683e626 100644
--- a/src/modules/moduleCoulomb.f90
+++ b/src/modules/moduleCoulomb.f90
@@ -8,10 +8,10 @@ MODULE moduleCoulomb
   TYPE:: interactionsCoulomb
     CLASS(speciesGeneric), POINTER:: sp_i
     CLASS(speciesGeneric), POINTER:: sp_j
-    REAL(8):: one_plus_massRatio_ij, one_plus_massRatio_ji
+    REAL(8):: one_plus_massRatio_ij
     REAL(8):: lnCoulomb !This can be done a function in the future
-    REAL(8):: A_i, A_j
-    REAL(8):: l2_j, l2_i
+    REAL(8):: A_i
+    REAL(8):: l2_j
     CONTAINS
       PROCEDURE, PASS:: init => initInteractionCoulomb
 
@@ -60,7 +60,6 @@ MODULE moduleCoulomb
       self%sp_j => species(j)%obj
 
       self%one_plus_massRatio_ij = 1.D0 + (self%sp_i%weight*self%sp_i%m)/(self%sp_j%weight*self%sp_j%m)
-      self%one_plus_massRatio_ji = 1.D0 + (self%sp_j%weight*self%sp_j%m)/(self%sp_i%weight*self%sp_i%m)
 
       SELECT TYPE(sp => self%sp_i)
       TYPE IS (speciesCharged)
@@ -85,10 +84,8 @@ MODULE moduleCoulomb
       scaleFactor = (n_ref * qe**4) / (eps_0**2 * m_ref**2 * v_ref**3) * ti_ref
 
       self%A_i = 2.D0*Z_i**2*Z_j**2*self%lnCoulomb / self%sp_i%m**2 * scaleFactor
-      self%A_j = 2.D0*Z_j**2*Z_i**2*self%lnCoulomb / self%sp_j%m**2 * scaleFactor
 
       self%l2_j = self%sp_j%m / 2.D0 !Missing temperature because it's cell dependent
-      self%l2_i = self%sp_i%m / 2.D0 !Missing temperature because it's cell dependent
 
     END SUBROUTINE initInteractionCoulomb
 

From d75af4bda72d79f2903dd632fc15d850f09be8ef Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Tue, 11 Jul 2023 07:51:49 +0200
Subject: [PATCH 121/203] Trying to implement Lemos Coulomb Scatering

I was having tones of issues with the previous implementation. I think
the problem was the velocity vector and how it was returning to the
normal reference frame.

I hope this new implementation works better.
---
 src/modules/mesh/moduleMesh.f90 | 49 ++++++++++++++-------------------
 1 file changed, 20 insertions(+), 29 deletions(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index b8d7501..4495355 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -973,9 +973,12 @@ MODULE moduleMesh
       REAL(8):: density, velocity(1:3), temperature!values at particle position
       REAL(8), DIMENSION(1:3):: e1, e2, e3
       REAL(8):: delta_par, delta_par_square, delta_per, delta_per_square
-      REAL(8):: W(3), dW(2), normW !Relative velocity between particle and species and its increment
-      REAL(8):: l2, l, lW, AW
-      REAL(8):: deltaV(1:3)
+      REAL(8):: normW 
+      REAL(8):: l2, l, lW, AW, AW2, AW3
+      REAL(8):: deltaW, deltaThe, deltaPhi
+      REAL(8):: cosDeltaPhi, sinDeltaPhi
+      REAL(8):: cosDeltaThe, sinDeltaThe
+      REAL(8):: deltaV(1:3) !Relative particle velocity increment
       REAL(8):: rnd
       REAL(8):: eps = 1.D-10
 
@@ -1023,8 +1026,7 @@ MODULE moduleMesh
 
             END IF
 
-            W = partTemp%part%v - velocity
-            normW = NORM2(W)
+            normW = NORM2(partTemp%part%v - velocity)
 
             !If relative velocity is too low, skip collision to avoid division by zero and move to next particle
             IF (normW < eps) THEN
@@ -1035,33 +1037,22 @@ MODULE moduleMesh
             END IF
               
             lW = l * normW
-            AW = coulombMatrix(k)%A_i/normW
+            AW  = coulombMatrix(k)%A_i/normW
+            AW2 = coulombMatrix(k)%A_i/normW**2 / 2.D0
+            AW3 = coulombMatrix(k)%A_i/normW**3 / 2.D0
 
-            delta_par = -coulombMatrix(k)%A_i*coulombMatrix(k)%one_plus_massRatio_ij*density*l2*G(lW)
+            deltaW = (-coulombMatrix(k)%A_i*coulombMatrix(k)%one_plus_massRatio_ij*l2*G(lW) - AW2*G(lW) + AW2*ERF(lw)) * tauMin + &
+                     SQRT(AW * G(lW) * tauMin) * ABS(randomMaxwellian())
+            deltaThe = SQRT(2.D0 * AW3 * H(lW) * tauMin)*ABS(randomMaxwellian())
+            deltaPhi = PI2 * random()
 
-            delta_par_square = AW*density*G(lW)
+            cosDeltaThe = COS(deltaThe)
+            sinDeltaThe = SIN(deltaThe)
+            cosDeltaPhi = COS(deltaPhi)
+            sinDeltaPhi = SIN(deltaPhi)
 
-            delta_per_square = AW*density*H(lW)
-
-            dW(1) = delta_par*tauMin + randomMaxwellian()*SQRT(delta_par_square*tauMin)
-            dW(2) =                ABS(randomMaxwellian()*SQRT(delta_per_square*tauMin))
-
-            !System of reference for the velocity change
-            !First one is parallel to the relative velocity
-            e1 = normalize(W)
-            !Second one is perpendicular to it
-            e2(1) = -e1(2)
-            e2(2) =  e1(1)
-            e2(3) =  0.D0
-            e2 = normalize(e2)
-            !Third one is perpendicular to the other two
-            e3 = crossProduct(e1, e2)
-            e3 = normalize(e3)
-
-            !Random number for direction
-            rnd = PI2*random()
-
-            deltaV =  dW(1)*e1 + dW(2)*(COS(rnd)*e2 + SIN(rnd)*e3)
+            !Rotate velocity frame assuming theta = phi = 0
+            deltaV = (normW + deltaW) * (/ sinDeltaThe * cosDeltaPhi, sinDeltaThe * sinDeltaPhi, cosDeltaPhi /)
 
             !Change particle velocity
             partTemp%part%v = partTemp%part%v + deltaV

From c45ffa5380b31f95631ff8030c513acf0c7d2c0f Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 11 Jul 2023 09:58:50 +0200
Subject: [PATCH 122/203] Dear various gods, finally...

I had to go back to sherlock2008montecarlo to properly understand the
change in frame of reference and how to translate that into the code.
The language there is clear and understandable for a dumb person like
me.

Now I have a Coulomb linear operator that at least works.

However, still not fully 100% conservative, need to fix this with a
correction for intra-species collisions.

I skip gym today because I was unable to focus on other things than
this.
---
 src/modules/mesh/moduleMesh.f90 | 65 +++++++++++++++++++--------------
 src/modules/moduleCoulomb.f90   |  2 +-
 2 files changed, 39 insertions(+), 28 deletions(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 4495355..a0ba9aa 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -971,15 +971,16 @@ MODULE moduleMesh
       TYPE(outputFormat):: output
       REAL(8), ALLOCATABLE:: densityNodes(:), velocityNodes(:,:), temperatureNodes(:) !values in node
       REAL(8):: density, velocity(1:3), temperature!values at particle position
-      REAL(8), DIMENSION(1:3):: e1, e2, e3
-      REAL(8):: delta_par, delta_par_square, delta_per, delta_per_square
-      REAL(8):: normW 
-      REAL(8):: l2, l, lW, AW, AW2, AW3
-      REAL(8):: deltaW, deltaThe, deltaPhi
-      REAL(8):: cosDeltaPhi, sinDeltaPhi
-      REAL(8):: cosDeltaThe, sinDeltaThe
-      REAL(8):: deltaV(1:3) !Relative particle velocity increment
-      REAL(8):: rnd
+      REAL(8):: C(1:3), W(1:3) !relative velocity and velocity in the relative frame of reference
+      REAL(8):: l, lW, l2
+      REAL(8):: normC, normW
+      REAL(8):: theta, phi !angles between w and c
+      REAL(8):: cosThe, sinThe
+      REAL(8):: cosPhi, sinPhi
+      REAL(8):: rotation(1:3,1:3) !Rotation matrix to go back to laboratory frame
+      REAL(8):: A, AW
+      REAL(8):: deltaW_par, deltaW_par_square, deltaW_per_square !Increments of W
+      REAL(8):: theta_per !Random angle for perpendicular direction
       REAL(8):: eps = 1.D-10
 
 
@@ -1026,36 +1027,46 @@ MODULE moduleMesh
 
             END IF
 
-            normW = NORM2(partTemp%part%v - velocity)
+            C = partTemp%part%v - velocity
+            normC = NORM2(C)
 
             !If relative velocity is too low, skip collision to avoid division by zero and move to next particle
-            IF (normW < eps) THEN
+            IF (normC < eps) THEN
               partTemp => partTemp%next
 
               CYCLE
 
             END IF
+
+
+            theta = ACOS(C(3) / normC)
+            cosThe = COS(theta)
+            sinThe = SIN(theta)
+            phi   = SIGN(1.D0, C(1)) * ACOS(C(1) / SQRT(C(1)**2 + C(2)**2))
+            cosPhi = COS(phi)
+            sinPhi = SIN(phi)
+
+            rotation(1, 1:3) = (/ cosThe*cosPhi, -sinPhi, sinThe*cosPhi /)
+            rotation(2, 1:3) = (/ cosThe*sinPhi,  cosPhi, sinThe*sinPhi /)
+            rotation(3, 1:3) = (/-sinThe,         0.D0,   cosThe /)
               
-            lW = l * normW
-            AW  = coulombMatrix(k)%A_i/normW
-            AW2 = coulombMatrix(k)%A_i/normW**2 / 2.D0
-            AW3 = coulombMatrix(k)%A_i/normW**3 / 2.D0
+            !W at start is = (0, 0, normC), so normW = normC
+            lW = l * normC
+            A  = coulombMatrix(k)%A_i*density
+            AW = A / normC
 
-            deltaW = (-coulombMatrix(k)%A_i*coulombMatrix(k)%one_plus_massRatio_ij*l2*G(lW) - AW2*G(lW) + AW2*ERF(lw)) * tauMin + &
-                     SQRT(AW * G(lW) * tauMin) * ABS(randomMaxwellian())
-            deltaThe = SQRT(2.D0 * AW3 * H(lW) * tauMin)*ABS(randomMaxwellian())
-            deltaPhi = PI2 * random()
+            deltaW_par = - A * coulombMatrix(k)%one_plus_massRatio_ij * l2 * G(lW) * tauMin
+            deltaW_par_square = SQRT(AW * G(lW) * tauMin)*randomMaxwellian()
+            deltaW_per_square = SQRT(AW * H(lW) * tauMin)*randomMaxwellian()
 
-            cosDeltaThe = COS(deltaThe)
-            sinDeltaThe = SIN(deltaThe)
-            cosDeltaPhi = COS(deltaPhi)
-            sinDeltaPhi = SIN(deltaPhi)
-
-            !Rotate velocity frame assuming theta = phi = 0
-            deltaV = (normW + deltaW) * (/ sinDeltaThe * cosDeltaPhi, sinDeltaThe * sinDeltaPhi, cosDeltaPhi /)
+            theta_per = PI2*random()
+            !Change W
+            W(1) =         deltaW_per_square * COS(theta_per) 
+            W(2) =         deltaW_per_square * SIN(theta_per)
+            W(3) = normC + deltaW_par + deltaW_par_square
 
             !Change particle velocity
-            partTemp%part%v = partTemp%part%v + deltaV
+            partTemp%part%v = velocity + MATMUL(rotation, W)
                                                
             partTemp => partTemp%next
 
diff --git a/src/modules/moduleCoulomb.f90 b/src/modules/moduleCoulomb.f90
index 683e626..7bd3f72 100644
--- a/src/modules/moduleCoulomb.f90
+++ b/src/modules/moduleCoulomb.f90
@@ -83,7 +83,7 @@ MODULE moduleCoulomb
 
       scaleFactor = (n_ref * qe**4) / (eps_0**2 * m_ref**2 * v_ref**3) * ti_ref
 
-      self%A_i = 2.D0*Z_i**2*Z_j**2*self%lnCoulomb / self%sp_i%m**2 * scaleFactor
+      self%A_i = Z_i**2*Z_j**2*self%lnCoulomb / (2.D0 * PI**2 * self%sp_i%m**2) * scaleFactor
 
       self%l2_j = self%sp_j%m / 2.D0 !Missing temperature because it's cell dependent
 

From 63fc2842be64cc2cd9becf480170bdfabcfd8026 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 11 Jul 2023 11:22:19 +0200
Subject: [PATCH 123/203] Small changes

Just some small changes to the code to improve its quality.

Nothing regarding conservation was done yet.
---
 src/modules/mesh/moduleMesh.f90 | 25 ++++++++++++++++++-------
 1 file changed, 18 insertions(+), 7 deletions(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index a0ba9aa..0f1260e 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -971,9 +971,10 @@ MODULE moduleMesh
       TYPE(outputFormat):: output
       REAL(8), ALLOCATABLE:: densityNodes(:), velocityNodes(:,:), temperatureNodes(:) !values in node
       REAL(8):: density, velocity(1:3), temperature!values at particle position
-      REAL(8):: C(1:3), W(1:3) !relative velocity and velocity in the relative frame of reference
+      REAL(8):: C(1:3), C_per, W(1:3) !relative velocity and velocity in the relative frame of reference
       REAL(8):: l, lW, l2
-      REAL(8):: normC, normW
+      REAL(8):: GlW, HlW
+      REAL(8):: normC
       REAL(8):: theta, phi !angles between w and c
       REAL(8):: cosThe, sinThe
       REAL(8):: cosPhi, sinPhi
@@ -1038,11 +1039,17 @@ MODULE moduleMesh
 
             END IF
 
-
             theta = ACOS(C(3) / normC)
             cosThe = COS(theta)
             sinThe = SIN(theta)
-            phi   = SIGN(1.D0, C(1)) * ACOS(C(1) / SQRT(C(1)**2 + C(2)**2))
+            C_per = SQRT(C(1)**2 + C(2)**2)
+            IF (C_per > eps) THEN
+              phi   = SIGN(1.D0, C(1)) * ACOS(C(1) / C_per)
+
+            ELSE
+              phi = 0.D0
+
+            END IF
             cosPhi = COS(phi)
             sinPhi = SIN(phi)
 
@@ -1052,14 +1059,18 @@ MODULE moduleMesh
               
             !W at start is = (0, 0, normC), so normW = normC
             lW = l * normC
+            GlW = G(lW)
+            HlW = H(lW)
             A  = coulombMatrix(k)%A_i*density
             AW = A / normC
 
-            deltaW_par = - A * coulombMatrix(k)%one_plus_massRatio_ij * l2 * G(lW) * tauMin
-            deltaW_par_square = SQRT(AW * G(lW) * tauMin)*randomMaxwellian()
-            deltaW_per_square = SQRT(AW * H(lW) * tauMin)*randomMaxwellian()
+            !Calculate changes in W due to collision process
+            deltaW_par = - A * coulombMatrix(k)%one_plus_massRatio_ij * l2 * GlW * tauMin
+            deltaW_par_square = SQRT(AW * GlW * tauMin)*randomMaxwellian()
+            deltaW_per_square = SQRT(AW * HlW * tauMin)*randomMaxwellian()
 
             theta_per = PI2*random()
+
             !Change W
             W(1) =         deltaW_per_square * COS(theta_per) 
             W(2) =         deltaW_per_square * SIN(theta_per)

From f63e34e2664e97a7a64bd397546b2eca711a3375 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 11 Jul 2023 18:55:20 +0200
Subject: [PATCH 124/203] Not fully conservative but works

The code is still not fully conservative in intra-species collisions
(small error) but at least now is working.

I have to test species with different weight.

I have to implement a fully conservation for intra-species.
---
 src/modules/mesh/moduleMesh.f90 | 6 ++++--
 src/modules/moduleCoulomb.f90   | 4 +++-
 2 files changed, 7 insertions(+), 3 deletions(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 0f1260e..3dea7c0 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -1055,7 +1055,7 @@ MODULE moduleMesh
 
             rotation(1, 1:3) = (/ cosThe*cosPhi, -sinPhi, sinThe*cosPhi /)
             rotation(2, 1:3) = (/ cosThe*sinPhi,  cosPhi, sinThe*sinPhi /)
-            rotation(3, 1:3) = (/-sinThe,         0.D0,   cosThe /)
+            rotation(3, 1:3) = (/-sinThe,         0.D0,   cosThe        /)
               
             !W at start is = (0, 0, normC), so normW = normC
             lW = l * normC
@@ -1069,6 +1069,7 @@ MODULE moduleMesh
             deltaW_par_square = SQRT(AW * GlW * tauMin)*randomMaxwellian()
             deltaW_per_square = SQRT(AW * HlW * tauMin)*randomMaxwellian()
 
+            !Random angle to distribute perpendicular change in velocity
             theta_per = PI2*random()
 
             !Change W
@@ -1076,9 +1077,10 @@ MODULE moduleMesh
             W(2) =         deltaW_per_square * SIN(theta_per)
             W(3) = normC + deltaW_par + deltaW_par_square
 
-            !Change particle velocity
+            !Update particle velocity and return to laboratory frame
             partTemp%part%v = velocity + MATMUL(rotation, W)
                                                
+            !Move to the next particle in the list
             partTemp => partTemp%next
 
           END DO
diff --git a/src/modules/moduleCoulomb.f90 b/src/modules/moduleCoulomb.f90
index 7bd3f72..fe2a2f6 100644
--- a/src/modules/moduleCoulomb.f90
+++ b/src/modules/moduleCoulomb.f90
@@ -59,8 +59,10 @@ MODULE moduleCoulomb
       self%sp_i => species(i)%obj
       self%sp_j => species(j)%obj
 
-      self%one_plus_massRatio_ij = 1.D0 + (self%sp_i%weight*self%sp_i%m)/(self%sp_j%weight*self%sp_j%m)
+      self%one_plus_massRatio_ij = 1.D0 + self%sp_i%m/self%sp_j%m
 
+      Z_i = 0.D0
+      Z_j = 0.D0
       SELECT TYPE(sp => self%sp_i)
       TYPE IS (speciesCharged)
         Z_i = sp%q

From a891360b7a5a37ce0c0a6fc5bba88a6e06bc5d19 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Wed, 12 Jul 2023 11:38:12 +0200
Subject: [PATCH 125/203] Still unsure, but things fixed

There was an issue with the calculation of theta and phi for the
rotation from W to C. This was causing some velocities not being
correct.

Now the angles are properly computed. Still unsure about the e-i
collisions as they seem to be quite small. Probably a numerical issue
with the mass ratios still exists.
---
 src/modules/mesh/moduleMesh.f90 | 31 +++++++++++++------------------
 src/modules/moduleCoulomb.f90   |  4 ++--
 2 files changed, 15 insertions(+), 20 deletions(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 3dea7c0..234ae3c 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -982,7 +982,7 @@ MODULE moduleMesh
       REAL(8):: A, AW
       REAL(8):: deltaW_par, deltaW_par_square, deltaW_per_square !Increments of W
       REAL(8):: theta_per !Random angle for perpendicular direction
-      REAL(8):: eps = 1.D-10
+      REAL(8):: eps = 1.D-12
 
 
       !$OMP DO SCHEDULE(DYNAMIC) PRIVATE(partTemp)
@@ -1039,24 +1039,19 @@ MODULE moduleMesh
 
             END IF
 
-            theta = ACOS(C(3) / normC)
-            cosThe = COS(theta)
-            sinThe = SIN(theta)
-            C_per = SQRT(C(1)**2 + C(2)**2)
-            IF (C_per > eps) THEN
-              phi   = SIGN(1.D0, C(1)) * ACOS(C(1) / C_per)
+            !C_3 = z; C_1, C2 = x, y (per)
+            C_per = NORM2(C(1:2))
+            cosPhi = C(1)  / C_per
+            sinPhi = C(2)  / C_per
+            cosThe = C(3)  / normC
+            sinThe = C_per / normC
 
-            ELSE
-              phi = 0.D0
+            !Rotation matrix to go from W to C
+            rotation = RESHAPE((/ cosThe*cosPhi, cosThe*sinPhi, -sinThe,    & !First column
+                                        -sinPhi,        cosPhi,    0.D0,    & !Second column
+                                  sinThe*cosPhi, sinThe*sinPhi,  cosThe /), & !Third column
+                                  (/ 3, 3 /))
 
-            END IF
-            cosPhi = COS(phi)
-            sinPhi = SIN(phi)
-
-            rotation(1, 1:3) = (/ cosThe*cosPhi, -sinPhi, sinThe*cosPhi /)
-            rotation(2, 1:3) = (/ cosThe*sinPhi,  cosPhi, sinThe*sinPhi /)
-            rotation(3, 1:3) = (/-sinThe,         0.D0,   cosThe        /)
-              
             !W at start is = (0, 0, normC), so normW = normC
             lW = l * normC
             GlW = G(lW)
@@ -1078,7 +1073,7 @@ MODULE moduleMesh
             W(3) = normC + deltaW_par + deltaW_par_square
 
             !Update particle velocity and return to laboratory frame
-            partTemp%part%v = velocity + MATMUL(rotation, W)
+            partTemp%part%v = MATMUL(rotation, W) + velocity
                                                
             !Move to the next particle in the list
             partTemp => partTemp%next
diff --git a/src/modules/moduleCoulomb.f90 b/src/modules/moduleCoulomb.f90
index fe2a2f6..653eaa4 100644
--- a/src/modules/moduleCoulomb.f90
+++ b/src/modules/moduleCoulomb.f90
@@ -83,9 +83,9 @@ MODULE moduleCoulomb
 
       self%lnCoulomb = 10.0 !Make this function dependent
 
-      scaleFactor = (n_ref * qe**4) / (eps_0**2 * m_ref**2 * v_ref**3) * ti_ref
+      scaleFactor = (n_ref * qe**4 * ti_ref) / (eps_0**2 * m_ref**2 * v_ref**3)
 
-      self%A_i = Z_i**2*Z_j**2*self%lnCoulomb / (2.D0 * PI**2 * self%sp_i%m**2) * scaleFactor
+      self%A_i = Z_i**2*Z_j**2*self%lnCoulomb / (2.D0 * PI**2 * self%sp_i%m**2) * scaleFactor !Missing density because it's cell dependent
 
       self%l2_j = self%sp_j%m / 2.D0 !Missing temperature because it's cell dependent
 

From 28b2bf206a803909d04ce4b4d70f718c2ebe751f Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Wed, 12 Jul 2023 14:21:29 +0200
Subject: [PATCH 126/203] Added the possibility to have sub-steps

Now per each Coulomb collision process there is the possibility to do
sub-steps. This helps in improving accuracy without reducing the time
step of the problem.
---
 src/modules/init/moduleInput.f90 |  8 +++-
 src/modules/mesh/moduleMesh.f90  | 82 ++++++++++++++++----------------
 src/modules/moduleCoulomb.f90    |  8 +++-
 3 files changed, 55 insertions(+), 43 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 9891806..e3927e3 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -637,6 +637,7 @@ MODULE moduleInput
       CHARACTER(:), ALLOCATABLE:: electron
       INTEGER:: e
       CLASS(meshCell), POINTER:: cell
+      INTEGER:: subSteps
 
       !Firstly, check if the object 'interactions' exists
       CALL config%info('interactions', found)
@@ -770,8 +771,13 @@ MODULE moduleInput
               pt_i = speciesName2Index(species_i)
               CALL config%get(object // '.species_j', species_j, found)
               pt_j = speciesName2Index(species_j)
+              CALL config%get(object // '.subSteps', subSteps, found)
+              IF (.NOT. found) THEN
+                subSteps = 1
 
-              CALL coulombMatrix(i)%init(pt_i, pt_j)
+              END IF
+
+              CALL coulombMatrix(i)%init(pt_i, pt_j, subSteps)
 
             END DO
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 234ae3c..81f53c3 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -961,10 +961,12 @@ MODULE moduleMesh
 
       CLASS(meshParticles), INTENT(in), TARGET:: self
       CLASS(meshCell), POINTER:: cell
+      TYPE(interactionsCoulomb):: pair
       INTEGER:: e
       INTEGER:: k
       INTEGER:: i, j
       INTEGER:: n
+      INTEGER:: t
       TYPE(lNode), POINTER:: partTemp
       INTEGER(8), ALLOCATABLE:: cellNodes(:)
       CLASS(meshNode), POINTER:: node
@@ -995,14 +997,15 @@ MODULE moduleMesh
                  temperatureNodes(1:cell%nNodes))
 
         DO k=1, nCoulombPairs
-          i = coulombMatrix(k)%sp_i%n
-          j = coulombMatrix(k)%sp_j%n
+          pair = coulombMatrix(k)
+          i = pair%sp_i%n
+          j = pair%sp_j%n
 
           !Do scattering of particles from species_i due to species j
           !Compute background properties of species_j
           DO n = 1, cell%nNodes
             node => self%nodes(cellNodes(n))%obj
-            CALL calculateOutput(node%output(j), output, node%v, coulombMatrix(k)%sp_j)
+            CALL calculateOutput(node%output(j), output, node%v, pair%sp_j)
             densityNodes(n)      = output%density/n_ref
             velocityNodes(n,1:3) = output%velocity(1:3)/v_ref
             temperatureNodes(n)  = output%temperature/T_ref
@@ -1018,7 +1021,7 @@ MODULE moduleMesh
 
             !If cell temperature is too low, skip particle to avoid division by zero
             IF (temperature>eps) THEN
-              l2 = coulombMatrix(k)%l2_j/temperature
+              l2 = pair%l2_j/temperature
               l  = SQRT(l2)
 
             ELSE
@@ -1028,52 +1031,49 @@ MODULE moduleMesh
 
             END IF
 
-            C = partTemp%part%v - velocity
-            normC = NORM2(C)
+            A  = pair%A_i*density
 
-            !If relative velocity is too low, skip collision to avoid division by zero and move to next particle
-            IF (normC < eps) THEN
-              partTemp => partTemp%next
+            !Do the required substeps
+            DO t = 1, pair%nSubSteps
+              C = partTemp%part%v - velocity
+              normC = NORM2(C)
 
-              CYCLE
+              !C_3 = z; C_1, C2 = x, y (per)
+              C_per = NORM2(C(1:2))
+              cosPhi = C(1)  / C_per
+              sinPhi = C(2)  / C_per
+              cosThe = C(3)  / normC
+              sinThe = C_per / normC
 
-            END IF
+              !Rotation matrix to go from W to C
+              rotation = RESHAPE((/ cosThe*cosPhi, cosThe*sinPhi, -sinThe,    & !First column
+                                          -sinPhi,        cosPhi,    0.D0,    & !Second column
+                                    sinThe*cosPhi, sinThe*sinPhi,  cosThe /), & !Third column
+                                    (/ 3, 3 /))
 
-            !C_3 = z; C_1, C2 = x, y (per)
-            C_per = NORM2(C(1:2))
-            cosPhi = C(1)  / C_per
-            sinPhi = C(2)  / C_per
-            cosThe = C(3)  / normC
-            sinThe = C_per / normC
+              !W at start is = (0, 0, normC), so normW = normC
+              lW = l * normC
+              GlW = G(lW)
+              HlW = H(lW)
+              AW = A / normC
 
-            !Rotation matrix to go from W to C
-            rotation = RESHAPE((/ cosThe*cosPhi, cosThe*sinPhi, -sinThe,    & !First column
-                                        -sinPhi,        cosPhi,    0.D0,    & !Second column
-                                  sinThe*cosPhi, sinThe*sinPhi,  cosThe /), & !Third column
-                                  (/ 3, 3 /))
+              !Calculate changes in W due to collision process
+              deltaW_par = - A * pair%one_plus_massRatio_ij * l2 * GlW * pair%tauSub
+              deltaW_par_square = SQRT(AW * GlW * pair%tauSub)*randomMaxwellian()
+              deltaW_per_square = SQRT(AW * HlW * pair%tauSub)*randomMaxwellian()
 
-            !W at start is = (0, 0, normC), so normW = normC
-            lW = l * normC
-            GlW = G(lW)
-            HlW = H(lW)
-            A  = coulombMatrix(k)%A_i*density
-            AW = A / normC
+              !Random angle to distribute perpendicular change in velocity
+              theta_per = PI2*random()
 
-            !Calculate changes in W due to collision process
-            deltaW_par = - A * coulombMatrix(k)%one_plus_massRatio_ij * l2 * GlW * tauMin
-            deltaW_par_square = SQRT(AW * GlW * tauMin)*randomMaxwellian()
-            deltaW_per_square = SQRT(AW * HlW * tauMin)*randomMaxwellian()
+              !Change W
+              W(1) =         deltaW_per_square * COS(theta_per) 
+              W(2) =         deltaW_per_square * SIN(theta_per)
+              W(3) = normC + deltaW_par + deltaW_par_square
 
-            !Random angle to distribute perpendicular change in velocity
-            theta_per = PI2*random()
+              !Update particle velocity and return to laboratory frame
+              partTemp%part%v = MATMUL(rotation, W) + velocity
 
-            !Change W
-            W(1) =         deltaW_per_square * COS(theta_per) 
-            W(2) =         deltaW_per_square * SIN(theta_per)
-            W(3) = normC + deltaW_par + deltaW_par_square
-
-            !Update particle velocity and return to laboratory frame
-            partTemp%part%v = MATMUL(rotation, W) + velocity
+            END DO
                                                
             !Move to the next particle in the list
             partTemp => partTemp%next
diff --git a/src/modules/moduleCoulomb.f90 b/src/modules/moduleCoulomb.f90
index 653eaa4..40e85c2 100644
--- a/src/modules/moduleCoulomb.f90
+++ b/src/modules/moduleCoulomb.f90
@@ -12,6 +12,8 @@ MODULE moduleCoulomb
     REAL(8):: lnCoulomb !This can be done a function in the future
     REAL(8):: A_i
     REAL(8):: l2_j
+    REAL(8):: tauSub
+    INTEGER:: nSubSteps
     CONTAINS
       PROCEDURE, PASS:: init => initInteractionCoulomb
 
@@ -44,7 +46,7 @@ MODULE moduleCoulomb
 
     END FUNCTION H
 
-    SUBROUTINE initInteractionCoulomb(self, i, j)
+    SUBROUTINE initInteractionCoulomb(self, i, j, subSteps)
       USE moduleSpecies
       USE moduleErrors
       USE moduleConstParam
@@ -52,10 +54,14 @@ MODULE moduleCoulomb
       IMPLICIT NONE
 
       CLASS(interactionsCoulomb), INTENT(out):: self
+      INTEGER, INTENT(in):: subSteps
       INTEGER, INTENT(in):: i, j
       REAL(8):: Z_i, Z_j
       REAL(8):: scaleFactor
 
+      self%nSubSteps = subSteps
+      self%tauSub    = tauMin / REAL(self%nSubSteps)
+
       self%sp_i => species(i)%obj
       self%sp_j => species(j)%obj
 

From c3a6f77ffc36f2ca5249b3a2c1290f10d30c409c Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Wed, 12 Jul 2023 15:17:26 +0200
Subject: [PATCH 127/203] Combining ij - ji collisions

In an attempt to make the operator fully conservarive I have combined ij
and ji collisions (when i/=j).

Now the matter is to find a way that makes this conserve momentum and
energy for intraspecies.
---
 src/modules/mesh/moduleMesh.f90 | 94 +++++++++++++++++++++++++++++++++
 src/modules/moduleCoulomb.f90   |  4 ++
 2 files changed, 98 insertions(+)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 81f53c3..3a65809 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -967,6 +967,7 @@ MODULE moduleMesh
       INTEGER:: i, j
       INTEGER:: n
       INTEGER:: t
+      INTEGER:: p
       TYPE(lNode), POINTER:: partTemp
       INTEGER(8), ALLOCATABLE:: cellNodes(:)
       CLASS(meshNode), POINTER:: node
@@ -985,6 +986,8 @@ MODULE moduleMesh
       REAL(8):: deltaW_par, deltaW_par_square, deltaW_per_square !Increments of W
       REAL(8):: theta_per !Random angle for perpendicular direction
       REAL(8):: eps = 1.D-12
+      REAL(8):: preV(1:3), totalP_ij(1:3), totalP_ji(1:3)
+      REAL(8), ALLOCATABLE:: deltaV_ji(:,:)
 
 
       !$OMP DO SCHEDULE(DYNAMIC) PRIVATE(partTemp)
@@ -1012,6 +1015,7 @@ MODULE moduleMesh
 
           END DO
 
+          totalP_ij = 0.D0
           !Loop over particles of species_i
           partTemp => cell%listPart_in(i)%head
           DO WHILE(ASSOCIATED(partTemp))
@@ -1071,7 +1075,9 @@ MODULE moduleMesh
               W(3) = normC + deltaW_par + deltaW_par_square
 
               !Update particle velocity and return to laboratory frame
+              preV = partTemp%part%v
               partTemp%part%v = MATMUL(rotation, W) + velocity
+              totalP_ij = totalP_ij + pair%sp_i%m*(partTemp%part%v - preV)
 
             END DO
                                                
@@ -1080,6 +1086,94 @@ MODULE moduleMesh
 
           END DO
 
+          !Do corresponding collisions
+          IF (i /= j) THEN
+            !Do scattering of particles from species_j due to species i
+            !Compute background properties of species_i
+            DO n = 1, cell%nNodes
+              node => self%nodes(cellNodes(n))%obj
+              CALL calculateOutput(node%output(i), output, node%v, pair%sp_i)
+              densityNodes(n)      = output%density/n_ref
+              velocityNodes(n,1:3) = output%velocity(1:3)/v_ref
+              temperatureNodes(n)  = output%temperature/T_ref
+
+            END DO
+
+            totalP_ji = 0.D0
+            ALLOCATE(deltaV_ji(1:cell%listPart_in(j)%amount,1:3))
+            !Loop over particles of species_j
+            partTemp => cell%listPart_in(j)%head
+            p = 1
+            DO WHILE(ASSOCIATED(partTemp))
+              density     = cell%gatherF(partTemp%part%Xi, cell%nNodes, densityNodes)
+              velocity    = cell%gatherF(partTemp%part%Xi, cell%nNodes, velocityNodes)
+              temperature = cell%gatherF(partTemp%part%Xi, cell%nNodes, temperatureNodes)
+
+              !If cell temperature is too low, skip particle to avoid division by zero
+              IF (temperature>eps) THEN
+                l2 = pair%l2_i/temperature
+                l  = SQRT(l2)
+
+              ELSE
+                partTemp => partTemp%next
+
+                CYCLE
+
+              END IF
+              A  = pair%A_j*density
+
+              !Do the required substeps
+              DO t = 1, pair%nSubSteps
+                C = partTemp%part%v - velocity
+                normC = NORM2(C)
+
+                !C_3 = z; C_1, C2 = x, y (per)
+                C_per = NORM2(C(1:2))
+                cosPhi = C(1)  / C_per
+                sinPhi = C(2)  / C_per
+                cosThe = C(3)  / normC
+                sinThe = C_per / normC
+
+                !Rotation matrix to go from W to C
+                rotation = RESHAPE((/ cosThe*cosPhi, cosThe*sinPhi, -sinThe,    & !First column
+                                            -sinPhi,        cosPhi,    0.D0,    & !Second column
+                                      sinThe*cosPhi, sinThe*sinPhi,  cosThe /), & !Third column
+                                      (/ 3, 3 /))
+
+                !W at start is = (0, 0, normC), so normW = normC
+                lW = l * normC
+                GlW = G(lW)
+                HlW = H(lW)
+                AW = A / normC
+
+                !Calculate changes in W due to collision process
+                deltaW_par = - A * pair%one_plus_massRatio_ij * l2 * GlW * pair%tauSub
+                deltaW_par_square = SQRT(AW * GlW * pair%tauSub)*randomMaxwellian()
+                deltaW_per_square = SQRT(AW * HlW * pair%tauSub)*randomMaxwellian()
+
+                !Random angle to distribute perpendicular change in velocity
+                theta_per = PI2*random()
+
+                !Change W
+                W(1) =         deltaW_per_square * COS(theta_per) 
+                W(2) =         deltaW_per_square * SIN(theta_per)
+                W(3) = normC + deltaW_par + deltaW_par_square
+
+                preV = partTemp%part%v
+                partTemp%part%v = MATMUL(rotation, W) + velocity
+                totalP_ji = totalP_ji + pair%sp_j%m*(partTemp%part%v - preV)
+
+              END DO
+              
+              !Move to the next particle in the list
+              partTemp => partTemp%next
+
+            END DO
+
+          END IF
+
+          print *, k, NORM2(totalP_ij), NORM2(totalP_ji)
+
         END DO
 
         DEALLOCATE(densityNodes, velocityNodes, temperatureNodes, cellNodes)
diff --git a/src/modules/moduleCoulomb.f90 b/src/modules/moduleCoulomb.f90
index 40e85c2..5faa277 100644
--- a/src/modules/moduleCoulomb.f90
+++ b/src/modules/moduleCoulomb.f90
@@ -11,7 +11,9 @@ MODULE moduleCoulomb
     REAL(8):: one_plus_massRatio_ij
     REAL(8):: lnCoulomb !This can be done a function in the future
     REAL(8):: A_i
+    REAL(8):: A_j
     REAL(8):: l2_j
+    REAL(8):: l2_i
     REAL(8):: tauSub
     INTEGER:: nSubSteps
     CONTAINS
@@ -92,8 +94,10 @@ MODULE moduleCoulomb
       scaleFactor = (n_ref * qe**4 * ti_ref) / (eps_0**2 * m_ref**2 * v_ref**3)
 
       self%A_i = Z_i**2*Z_j**2*self%lnCoulomb / (2.D0 * PI**2 * self%sp_i%m**2) * scaleFactor !Missing density because it's cell dependent
+      self%A_j = Z_j**2*Z_i**2*self%lnCoulomb / (2.D0 * PI**2 * self%sp_j%m**2) * scaleFactor !Missing density because it's cell dependent
 
       self%l2_j = self%sp_j%m / 2.D0 !Missing temperature because it's cell dependent
+      self%l2_i = self%sp_i%m / 2.D0 !Missing temperature because it's cell dependent
 
     END SUBROUTINE initInteractionCoulomb
 

From e05c0d4635c3b2ae362334381de37569317cbfee Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sun, 16 Jul 2023 14:28:07 +0200
Subject: [PATCH 128/203] Coulomb Scattering fully conservative

Coulomb scattering is now fully conservative thanks to the method in
lemos2009small.

The trick was to conserve the momentum and energy of ALL particles
involved in the scattering in each cell.

The substeps in Coulomb collisions have been removed as they are no
longer necessary.

Still some issues with e-i, but I don't know right now.
---
 src/modules/init/moduleInput.f90 |   8 +-
 src/modules/mesh/moduleMesh.f90  | 274 +++++++++++++++++++------------
 src/modules/moduleCoulomb.f90    |   8 +-
 3 files changed, 175 insertions(+), 115 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index e3927e3..9891806 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -637,7 +637,6 @@ MODULE moduleInput
       CHARACTER(:), ALLOCATABLE:: electron
       INTEGER:: e
       CLASS(meshCell), POINTER:: cell
-      INTEGER:: subSteps
 
       !Firstly, check if the object 'interactions' exists
       CALL config%info('interactions', found)
@@ -771,13 +770,8 @@ MODULE moduleInput
               pt_i = speciesName2Index(species_i)
               CALL config%get(object // '.species_j', species_j, found)
               pt_j = speciesName2Index(species_j)
-              CALL config%get(object // '.subSteps', subSteps, found)
-              IF (.NOT. found) THEN
-                subSteps = 1
 
-              END IF
-
-              CALL coulombMatrix(i)%init(pt_i, pt_j, subSteps)
+              CALL coulombMatrix(i)%init(pt_i, pt_j)
 
             END DO
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 3a65809..7e30326 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -966,7 +966,6 @@ MODULE moduleMesh
       INTEGER:: k
       INTEGER:: i, j
       INTEGER:: n
-      INTEGER:: t
       INTEGER:: p
       TYPE(lNode), POINTER:: partTemp
       INTEGER(8), ALLOCATABLE:: cellNodes(:)
@@ -978,7 +977,6 @@ MODULE moduleMesh
       REAL(8):: l, lW, l2
       REAL(8):: GlW, HlW
       REAL(8):: normC
-      REAL(8):: theta, phi !angles between w and c
       REAL(8):: cosThe, sinThe
       REAL(8):: cosPhi, sinPhi
       REAL(8):: rotation(1:3,1:3) !Rotation matrix to go back to laboratory frame
@@ -986,8 +984,13 @@ MODULE moduleMesh
       REAL(8):: deltaW_par, deltaW_par_square, deltaW_per_square !Increments of W
       REAL(8):: theta_per !Random angle for perpendicular direction
       REAL(8):: eps = 1.D-12
-      REAL(8):: preV(1:3), totalP_ij(1:3), totalP_ji(1:3)
-      REAL(8), ALLOCATABLE:: deltaV_ji(:,:)
+      REAL(8), ALLOCATABLE, DIMENSION(:,:):: deltaV_ij, p_ij
+      REAL(8), ALLOCATABLE, DIMENSION(:):: mass_ij
+      REAL(8):: massSum_ij
+      REAL(8), ALLOCATABLE, DIMENSION(:,:):: deltaV_ji, p_ji
+      REAL(8), ALLOCATABLE, DIMENSION(:):: mass_ji
+      REAL(8):: massSum_ji
+      REAL(8):: alpha_num, alpha_den, alpha, beta(1:3)
 
 
       !$OMP DO SCHEDULE(DYNAMIC) PRIVATE(partTemp)
@@ -1015,9 +1018,12 @@ MODULE moduleMesh
 
           END DO
 
-          totalP_ij = 0.D0
+          ALLOCATE(deltaV_ij(1:cell%listPart_in(i)%amount, 1:3))
+          ALLOCATE(p_ij(1:cell%listPart_in(i)%amount, 1:3))
+          ALLOCATE(mass_ij(1:cell%listPart_in(i)%amount))
           !Loop over particles of species_i
           partTemp => cell%listPart_in(i)%head
+          p = 1
           DO WHILE(ASSOCIATED(partTemp))
             density     = cell%gatherF(partTemp%part%Xi, cell%nNodes, densityNodes)
             velocity    = cell%gatherF(partTemp%part%Xi, cell%nNodes, velocityNodes)
@@ -1037,8 +1043,89 @@ MODULE moduleMesh
 
             A  = pair%A_i*density
 
-            !Do the required substeps
-            DO t = 1, pair%nSubSteps
+            C = partTemp%part%v - velocity
+            normC = NORM2(C)
+
+            !C_3 = z; C_1, C2 = x, y (per)
+            C_per = NORM2(C(1:2))
+            cosPhi = C(1)  / C_per
+            sinPhi = C(2)  / C_per
+            cosThe = C(3)  / normC
+            sinThe = C_per / normC
+
+            !Rotation matrix to go from W to C
+            rotation = RESHAPE((/ cosThe*cosPhi, cosThe*sinPhi, -sinThe,    & !First column
+                                        -sinPhi,        cosPhi,    0.D0,    & !Second column
+                                  sinThe*cosPhi, sinThe*sinPhi,  cosThe /), & !Third column
+                                  (/ 3, 3 /))
+
+            !W at start is = (0, 0, normC), so normW = normC
+            lW = l * normC
+            GlW = G(lW)
+            HlW = H(lW)
+            AW = A / normC
+
+            !Calculate changes in W due to collision process
+            deltaW_par = - A * pair%one_plus_massRatio_ij * l2 * GlW * tauMin
+            deltaW_par_square = SQRT(AW * GlW * tauMin)*randomMaxwellian()
+            deltaW_per_square = SQRT(AW * HlW * tauMin)*randomMaxwellian()
+
+            !Random angle to distribute perpendicular change in velocity
+            theta_per = PI2*random()
+
+            !Change W
+            W(1) =         deltaW_per_square * COS(theta_per) 
+            W(2) =         deltaW_per_square * SIN(theta_per)
+            W(3) = normC + deltaW_par + deltaW_par_square
+
+            !Compute changes in velocity for each particle
+            deltaV_ij(p,1:3) = MATMUL(rotation, W) + velocity - partTemp%part%v
+            mass_ij(p)       = pair%sp_i%m*partTemp%part%weight
+            p_ij(p,1:3)      = mass_ij(p)*partTemp%part%v
+
+            !Move to the next particle in the list
+            partTemp => partTemp%next
+            p = p + 1
+
+          END DO
+
+          !Do corresponding collisions
+          IF (i /= j) THEN
+            !Do scattering of particles from species_j due to species i
+            !Compute background properties of species_i
+            DO n = 1, cell%nNodes
+              node => self%nodes(cellNodes(n))%obj
+              CALL calculateOutput(node%output(i), output, node%v, pair%sp_i)
+              densityNodes(n)      = output%density/n_ref
+              velocityNodes(n,1:3) = output%velocity(1:3)/v_ref
+              temperatureNodes(n)  = output%temperature/T_ref
+
+            END DO
+
+            ALLOCATE(deltaV_ji(1:cell%listPart_in(j)%amount, 1:3))
+            ALLOCATE(p_ji(1:cell%listPart_in(j)%amount, 1:3))
+            ALLOCATE(mass_ji(1:cell%listPart_in(j)%amount))
+            !Loop over particles of species_j
+            partTemp => cell%listPart_in(j)%head
+            p = 1
+            DO WHILE(ASSOCIATED(partTemp))
+              density     = cell%gatherF(partTemp%part%Xi, cell%nNodes, densityNodes)
+              velocity    = cell%gatherF(partTemp%part%Xi, cell%nNodes, velocityNodes)
+              temperature = cell%gatherF(partTemp%part%Xi, cell%nNodes, temperatureNodes)
+
+              !If cell temperature is too low, skip particle to avoid division by zero
+              IF (temperature>eps) THEN
+                l2 = pair%l2_i/temperature
+                l  = SQRT(l2)
+
+              ELSE
+                partTemp => partTemp%next
+
+                CYCLE
+
+              END IF
+              A  = pair%A_j*density
+
               C = partTemp%part%v - velocity
               normC = NORM2(C)
 
@@ -1062,9 +1149,9 @@ MODULE moduleMesh
               AW = A / normC
 
               !Calculate changes in W due to collision process
-              deltaW_par = - A * pair%one_plus_massRatio_ij * l2 * GlW * pair%tauSub
-              deltaW_par_square = SQRT(AW * GlW * pair%tauSub)*randomMaxwellian()
-              deltaW_per_square = SQRT(AW * HlW * pair%tauSub)*randomMaxwellian()
+              deltaW_par = - A * pair%one_plus_massRatio_ij * l2 * GlW * tauMin
+              deltaW_par_square = SQRT(AW * GlW * tauMin)*randomMaxwellian()
+              deltaW_per_square = SQRT(AW * HlW * tauMin)*randomMaxwellian()
 
               !Random angle to distribute perpendicular change in velocity
               theta_per = PI2*random()
@@ -1074,105 +1161,90 @@ MODULE moduleMesh
               W(2) =         deltaW_per_square * SIN(theta_per)
               W(3) = normC + deltaW_par + deltaW_par_square
 
-              !Update particle velocity and return to laboratory frame
-              preV = partTemp%part%v
-              partTemp%part%v = MATMUL(rotation, W) + velocity
-              totalP_ij = totalP_ij + pair%sp_i%m*(partTemp%part%v - preV)
+              !Compute changes in velocity for each particle
+              deltaV_ji(p,1:3) = MATMUL(rotation, W) + velocity - partTemp%part%v
+              mass_ji(p)       = pair%sp_j%m*partTemp%part%weight
+              p_ji(p,1:3)      = mass_ji(p)*partTemp%part%v
 
-            END DO
-                                               
-            !Move to the next particle in the list
-            partTemp => partTemp%next
-
-          END DO
-
-          !Do corresponding collisions
-          IF (i /= j) THEN
-            !Do scattering of particles from species_j due to species i
-            !Compute background properties of species_i
-            DO n = 1, cell%nNodes
-              node => self%nodes(cellNodes(n))%obj
-              CALL calculateOutput(node%output(i), output, node%v, pair%sp_i)
-              densityNodes(n)      = output%density/n_ref
-              velocityNodes(n,1:3) = output%velocity(1:3)/v_ref
-              temperatureNodes(n)  = output%temperature/T_ref
-
-            END DO
-
-            totalP_ji = 0.D0
-            ALLOCATE(deltaV_ji(1:cell%listPart_in(j)%amount,1:3))
-            !Loop over particles of species_j
-            partTemp => cell%listPart_in(j)%head
-            p = 1
-            DO WHILE(ASSOCIATED(partTemp))
-              density     = cell%gatherF(partTemp%part%Xi, cell%nNodes, densityNodes)
-              velocity    = cell%gatherF(partTemp%part%Xi, cell%nNodes, velocityNodes)
-              temperature = cell%gatherF(partTemp%part%Xi, cell%nNodes, temperatureNodes)
-
-              !If cell temperature is too low, skip particle to avoid division by zero
-              IF (temperature>eps) THEN
-                l2 = pair%l2_i/temperature
-                l  = SQRT(l2)
-
-              ELSE
-                partTemp => partTemp%next
-
-                CYCLE
-
-              END IF
-              A  = pair%A_j*density
-
-              !Do the required substeps
-              DO t = 1, pair%nSubSteps
-                C = partTemp%part%v - velocity
-                normC = NORM2(C)
-
-                !C_3 = z; C_1, C2 = x, y (per)
-                C_per = NORM2(C(1:2))
-                cosPhi = C(1)  / C_per
-                sinPhi = C(2)  / C_per
-                cosThe = C(3)  / normC
-                sinThe = C_per / normC
-
-                !Rotation matrix to go from W to C
-                rotation = RESHAPE((/ cosThe*cosPhi, cosThe*sinPhi, -sinThe,    & !First column
-                                            -sinPhi,        cosPhi,    0.D0,    & !Second column
-                                      sinThe*cosPhi, sinThe*sinPhi,  cosThe /), & !Third column
-                                      (/ 3, 3 /))
-
-                !W at start is = (0, 0, normC), so normW = normC
-                lW = l * normC
-                GlW = G(lW)
-                HlW = H(lW)
-                AW = A / normC
-
-                !Calculate changes in W due to collision process
-                deltaW_par = - A * pair%one_plus_massRatio_ij * l2 * GlW * pair%tauSub
-                deltaW_par_square = SQRT(AW * GlW * pair%tauSub)*randomMaxwellian()
-                deltaW_per_square = SQRT(AW * HlW * pair%tauSub)*randomMaxwellian()
-
-                !Random angle to distribute perpendicular change in velocity
-                theta_per = PI2*random()
-
-                !Change W
-                W(1) =         deltaW_per_square * COS(theta_per) 
-                W(2) =         deltaW_per_square * SIN(theta_per)
-                W(3) = normC + deltaW_par + deltaW_par_square
-
-                preV = partTemp%part%v
-                partTemp%part%v = MATMUL(rotation, W) + velocity
-                totalP_ji = totalP_ji + pair%sp_j%m*(partTemp%part%v - preV)
-
-              END DO
-              
               !Move to the next particle in the list
               partTemp => partTemp%next
+              p = p + 1
 
             END DO
 
           END IF
 
-          print *, k, NORM2(totalP_ij), NORM2(totalP_ji)
+          !Calculate correction
+          !Total mass
+          massSum_ij = SUM(mass_ij)
+          massSum_ji = 0.D0
+
+          !Beta
+          beta = 0.D0
+          DO p = 1, cell%listPart_in(i)%amount
+            beta = beta + mass_ij(p) * deltaV_ij(p,1:3)
+
+          END DO
+          
+          IF (i /= j) THEN
+            massSum_ji = SUM(mass_ji)
+            DO p = 1, cell%listPart_in(j)%amount
+              beta = beta + mass_ji(p) * deltaV_ji(p,1:3)
+
+            END DO
+
+          END IF
+
+          beta = beta / (massSum_ij + massSum_ji)
+
+          !Alpha
+          alpha_num = 0.D0
+          alpha_den = 0.D0
+          DO p =1, cell%listPart_in(i)%amount
+            alpha_num = alpha_num + DOT_PRODUCT(p_ij(p,1:3), deltav_ij(p,1:3) - beta(1:3))
+            alpha_den = alpha_den + mass_ij(p) * NORM2(deltav_ij(p,1:3) - beta(1:3))**2
+
+          END DO
+
+          IF (i /= j) THEN
+            DO p = 1, cell%listPart_in(j)%amount
+              alpha_num = alpha_num + DOT_PRODUCT(p_ji(p,1:3), deltav_ji(p,1:3) - beta(1:3))
+              alpha_den = alpha_den + mass_ji(p) * NORM2(deltav_ji(p,1:3) - beta(1:3))**2
+
+            END DO
+
+          END IF
+
+          alpha = -2.D0*alpha_num / alpha_den
+
+          !Apply correction to particles velocity
+          partTemp => cell%listPart_in(i)%head
+          p = 1
+          DO WHILE(ASSOCIATED(partTemp))
+            partTemp%part%v = partTemp%part%v + alpha * (deltaV_ij(p,1:3) - beta(1:3))
+            partTemp => partTemp%next
+            p = p + 1
+
+          END DO
+
+          IF (i /= j) THEN
+            partTemp => cell%listPart_in(j)%head
+            p = 1
+            DO WHILE(ASSOCIATED(partTemp))
+              partTemp%part%v = partTemp%part%v + alpha * (deltaV_ji(p,1:3) - beta(1:3))
+              partTemp => partTemp%next
+              p = p + 1
+
+            END DO
+
+          END IF
+
+          DEALLOCATE(deltaV_ij, p_ij, mass_ij)
+
+          IF (i /= j) THEN
+            DEALLOCATE(deltaV_ji, p_ji, mass_ji)
+
+          END IF
 
         END DO
 
diff --git a/src/modules/moduleCoulomb.f90 b/src/modules/moduleCoulomb.f90
index 5faa277..166b6b2 100644
--- a/src/modules/moduleCoulomb.f90
+++ b/src/modules/moduleCoulomb.f90
@@ -14,8 +14,6 @@ MODULE moduleCoulomb
     REAL(8):: A_j
     REAL(8):: l2_j
     REAL(8):: l2_i
-    REAL(8):: tauSub
-    INTEGER:: nSubSteps
     CONTAINS
       PROCEDURE, PASS:: init => initInteractionCoulomb
 
@@ -48,7 +46,7 @@ MODULE moduleCoulomb
 
     END FUNCTION H
 
-    SUBROUTINE initInteractionCoulomb(self, i, j, subSteps)
+    SUBROUTINE initInteractionCoulomb(self, i, j)
       USE moduleSpecies
       USE moduleErrors
       USE moduleConstParam
@@ -56,14 +54,10 @@ MODULE moduleCoulomb
       IMPLICIT NONE
 
       CLASS(interactionsCoulomb), INTENT(out):: self
-      INTEGER, INTENT(in):: subSteps
       INTEGER, INTENT(in):: i, j
       REAL(8):: Z_i, Z_j
       REAL(8):: scaleFactor
 
-      self%nSubSteps = subSteps
-      self%tauSub    = tauMin / REAL(self%nSubSteps)
-
       self%sp_i => species(i)%obj
       self%sp_j => species(j)%obj
 

From 2e4b3c3d207ad1d6f03d2284989da08772769069 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 16 Jul 2023 14:44:38 +0200
Subject: [PATCH 129/203] Update of user-manual

The user manual has been updated with a simple explanation on how to use
Coulomb Scattering.
---
 doc/user-manual/bibliography.bib     |  23 +++++++++++++++++++++++
 doc/user-manual/fpakc_UserManual.pdf | Bin 181729 -> 185259 bytes
 doc/user-manual/fpakc_UserManual.tex |  21 +++++++++++++++++++--
 3 files changed, 42 insertions(+), 2 deletions(-)

diff --git a/doc/user-manual/bibliography.bib b/doc/user-manual/bibliography.bib
index 878b7ee..9dc17fc 100644
--- a/doc/user-manual/bibliography.bib
+++ b/doc/user-manual/bibliography.bib
@@ -62,4 +62,27 @@
   publisher = {Taylor \& Francis},
 }
 
+@Article{sherlock2008monte,
+  author    = {Sherlock, Mark},
+  journal   = {Journal of Computational Physics},
+  title     = {A Monte-Carlo method for Coulomb collisions in hybrid plasma models},
+  year      = {2008},
+  number    = {4},
+  pages     = {2286--2292},
+  volume    = {227},
+  groups    = {Particle-in-cell},
+  publisher = {Elsevier},
+}
+
+@article{lemons2009small,
+  title={Small-angle Coulomb collision model for particle-in-cell simulations},
+  author={Lemons, Don S and Winske, Dan and Daughton, William and Albright, Brian},
+  journal={Journal of Computational Physics},
+  volume={228},
+  number={5},
+  pages={1391--1403},
+  year={2009},
+  publisher={Elsevier}
+}
+
 @Comment{jabref-meta: databaseType:bibtex;}
diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index df29f33..fccf4a0 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -223,8 +223,15 @@
         \end{itemize}
       
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%      \subsection{\acrlong{cs}}
-%        Although not yet implement, a first approach will be soon implemented using Ref.~\cite{higginson2020corrected} as a guideline.
+     \subsection{\acrlong{cs}}
+       A simple linearization of the Coulomb operator based on Ref.~\cite{sherlock2008monte} is implemented.
+       This method assumes that the species involved in the scattering process have a Maxwellian distribution.
+       The method is made to conserve momentum and kinetic energy based on the approach in Ref.~\cite{lemons2009small} for self (same species) and intra (different species) collisions.
+       
+       The user must specify the charged species that will interact together.
+       The Coulomb logarithm involved in these processes is currently set to a fix value of $10$.
+       
+       This method is not valid for situations in which the distribution functions are far from Maxwellian.
         
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Reset of particle array}
@@ -759,6 +766,16 @@ make
                                                                                          Only valid for \textbf{ionization} and \textbf{recombination} processes.
                                                               \end{itemize}
                                      \end{itemize}
+          \item \textbf{Coulomb}: Array of objects.
+                                  Contains the information about which species must use the Coulomb linear scattering.
+                                  This method assumes a Maxwellian distribution for all species involved.
+                                  Each object in the array is defined by:
+                                  \begin{itemize}
+                                    \item \textbf{species\_i}, \textbf{species\_j}: Character.
+                                                                                    Define the two species involved in the collision processes.
+                                                                                    Order is indiferent.
+                                  
+                                  \end{itemize}
         \end{itemize}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
       \subsection{parallel}

From 4585390b5018340fc27008108a7e2e0b6aec1351 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Tue, 21 Nov 2023 09:53:36 +0100
Subject: [PATCH 130/203] Fixing issue

Fixing an issue with reading tables led me to other issues with
collisions that I think are fixed right now. I am testing with the 1D
ionization model for ALPHIE and things seems to be working properly.
---
 src/modules/common/moduleTable.f90 | 2 +-
 src/modules/mesh/moduleMesh.f90    | 2 ++
 src/modules/moduleCollisions.f90   | 2 +-
 3 files changed, 4 insertions(+), 2 deletions(-)

diff --git a/src/modules/common/moduleTable.f90 b/src/modules/common/moduleTable.f90
index e4da335..2dc1c75 100644
--- a/src/modules/common/moduleTable.f90
+++ b/src/modules/common/moduleTable.f90
@@ -93,7 +93,7 @@ MODULE moduleTable
         f = self%fMax
 
       ELSE
-        i = MINLOC(x - self%x, 1)
+        i = MINLOC(ABS(x - self%x), 1)
         deltaX = x - self%x(i)
         IF (deltaX < 0 ) THEN 
           i = i - 1
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 7e30326..e96ff2a 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -911,7 +911,9 @@ MODULE moduleMesh
                     !Loop over collisions
                     DO c = 1, interactionMatrix(k)%amount
                       IF (rnd_real <= probabilityColl(c)) THEN
+                        !$OMP CRITICAL
                         CALL interactionMatrix(k)%collisions(c)%obj%collide(part_i, part_j, vRel)
+                        !$OMP END CRITICAL
 
                         !If collisions are gonna be output, count the collision
                         IF (collOutput) THEN
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index ccca930..fec4c8d 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -362,7 +362,7 @@ MODULE moduleCollisions
           CALL sp%ionize(neutral)
 
         CLASS DEFAULT
-          ! CALL criticalError(sp%name // " is not a neutral", 'collideBinaryIonization')
+          CALL criticalError(sp%name // " is not a neutral", 'collideBinaryIonization')
           RETURN
 
         END SELECT

From e41b448ef83cad310ad1dae677c9bc10b55888fc Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Fri, 24 Nov 2023 10:30:50 +0100
Subject: [PATCH 131/203] Different species for secondary electrons

The option to have a different species than the impacting electron for
secondary electrons from ionization is introduced.
---
 doc/user-manual/fpakc_UserManual.pdf | Bin 185259 -> 185542 bytes
 doc/user-manual/fpakc_UserManual.tex |   5 ++++
 src/modules/init/moduleInput.f90     |  14 +++++++++---
 src/modules/moduleCollisions.f90     |  33 +++++++++++++++++++++++----
 4 files changed, 45 insertions(+), 7 deletions(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index c099b01f29ab35ef115ef44b47a742d9d5fd0be6..c424f5016355cf3dd5bdebf5cb23ee291f1c5145 100644
GIT binary patch
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index fccf4a0..2b8fa8e 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -764,6 +764,11 @@ make
                                                                 \item \textbf{electron}: Character.
                                                                                          Name of species designed as electrons.
                                                                                          Only valid for \textbf{ionization} and \textbf{recombination} processes.
+                                                                \item \textbf{electronSecondary}: Character.
+                                                                                                  Optional.
+                                                                                                  Name of species designed as secondary electrons.
+                                                                                                  If none provided, \textbf{electron} is used.
+                                                                                                  Only valid for \textbf{ionization}.
                                                               \end{itemize}
                                      \end{itemize}
           \item \textbf{Coulomb}: Array of objects.
diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 9891806..46b627b 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -634,7 +634,7 @@ MODULE moduleInput
       INTEGER:: i, k, ij
       INTEGER:: pt_i, pt_j
       REAL(8):: energyThreshold, energyBinding
-      CHARACTER(:), ALLOCATABLE:: electron
+      CHARACTER(:), ALLOCATABLE:: electron, electronSecondary
       INTEGER:: e
       CLASS(meshCell), POINTER:: cell
 
@@ -711,8 +711,16 @@ MODULE moduleInput
                 IF (.NOT. found) CALL criticalError('energyThreshold not found for collision' // object, 'readInteractions')
                 CALL config%get(object // '.electron', electron, found)
                 IF (.NOT. found) CALL criticalError('electron not found for collision' // object, 'readInteractions')
-                CALL initBinaryIonization(interactionMatrix(ij)%collisions(k)%obj, &
-                                          crossSecFilePath, energyThreshold, electron)
+                CALL config%get(object // '.electronSecondary', electronSecondary, found)
+                IF (found) THEN
+                  CALL initBinaryIonization(interactionMatrix(ij)%collisions(k)%obj, &
+                                            crossSecFilePath, energyThreshold, electron, electronSecondary)
+
+                ELSE
+                  CALL initBinaryIonization(interactionMatrix(ij)%collisions(k)%obj, &
+                                            crossSecFilePath, energyThreshold, electron)
+
+                END IF
 
               CASE ('recombination')
                 !Electorn impact ionization
diff --git a/src/modules/moduleCollisions.f90 b/src/modules/moduleCollisions.f90
index fec4c8d..d9a6ef2 100644
--- a/src/modules/moduleCollisions.f90
+++ b/src/modules/moduleCollisions.f90
@@ -43,7 +43,8 @@ MODULE moduleCollisions
   TYPE, EXTENDS(collisionBinary):: collisionBinaryIonization
     REAL(8):: eThreshold !Minimum energy (non-dimensional units) required for ionization
     REAL(8):: deltaV !Change in velocity due to exchange of eThreshold
-    CLASS(speciesCharged), POINTER:: electron !Pointer to species considerer as electrons
+    CLASS(speciesCharged), POINTER:: electron          !Pointer to species considerer as electrons
+    CLASS(speciesCharged), POINTER:: electronSecondary !Pointer to species considerer as secondary electron
     CONTAINS
       PROCEDURE, PASS:: collide => collideBinaryIonization
 
@@ -241,7 +242,7 @@ MODULE moduleCollisions
 
     !ELECTRON IMPACT IONIZATION
     !Inits electron impact ionization
-    SUBROUTINE initBinaryIonization(collision, crossSectionFilename, energyThreshold, electron)
+    SUBROUTINE initBinaryIonization(collision, crossSectionFilename, energyThreshold, electron, electronSecondary)
       USE moduleTable
       USE moduleRefParam
       USE moduleConstParam
@@ -253,7 +254,8 @@ MODULE moduleCollisions
       CHARACTER(:), ALLOCATABLE, INTENT(in):: crossSectionFilename
       REAL(8), INTENT(in):: energyThreshold
       CHARACTER(:), ALLOCATABLE, INTENT(in):: electron
-      INTEGER:: electronIndex
+      CHARACTER(:), ALLOCATABLE, OPTIONAL, INTENT(in):: electronSecondary
+      INTEGER:: electronIndex, electronSecondaryIndex
 
       ALLOCATE(collisionBinaryIonization:: collision)
 
@@ -278,10 +280,27 @@ MODULE moduleCollisions
 
         CLASS DEFAULT
           CALL criticalError("Species " // sp%name // " chosen for " // &
-                             "secondary electron is not a charged species", 'initBinaryIonization')
+                             "impacting electron is not a charged species", 'initBinaryIonization')
 
         END SELECT
 
+        IF (PRESENT(electronSecondary)) THEN
+          electronSecondaryIndex = speciesName2Index(electronSecondary)
+          SELECT TYPE(sp => species(electronSecondaryIndex)%obj)
+          TYPE IS(speciesCharged)
+            collision%electronSecondary => sp
+
+          CLASS DEFAULT
+            CALL criticalError("Species " // sp%name // " chosen for " // &
+                               "secondary electron is not a charged species", 'initBinaryIonization')
+
+          END SELECT
+
+        ELSE
+          collision%electronSecondary => NULL()
+
+        END IF
+
         !momentum change per ionization process
         collision%deltaV = sqrt(collision%eThreshold / collision%electron%m)
 
@@ -336,6 +355,12 @@ MODULE moduleCollisions
         !Copy basic information from primary electron
         newElectron = electron
 
+        !If secondary electron species indicates, convert
+        IF (ASSOCIATED(self%electronSecondary)) THEN
+          newElectron%species => self%electronSecondary
+
+        END IF
+
         !Secondary electorn gains energy from ionization
         newElectron%v       =  vChange
 

From d86b3a3417282cc65f26dcb3396de9194b77abf0 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 28 Mar 2024 09:45:46 +0100
Subject: [PATCH 132/203] Implementing injection with current density

WARNING: This current denstiy will be multiplied by the reference
length, no the surface area that is being used for injection!

New units in the injection of particles 'Am2' to inject a density
current. Manual has been modified accordingly.

Reference parameters are now also printed in the case folder.
---
 doc/user-manual/fpakc_UserManual.pdf    | Bin 185542 -> 185817 bytes
 doc/user-manual/fpakc_UserManual.tex    | 102 ++++++++++++------------
 src/fpakc.f90                           |   4 +
 src/modules/init/moduleInput.f90        |  63 ++++++++++-----
 src/modules/mesh/moduleMeshBoundary.f90 |   8 +-
 src/modules/moduleBoundary.f90          |  24 +++++-
 src/modules/moduleInject.f90            |   4 +
 src/modules/solver/moduleSolver.f90     |   5 --
 8 files changed, 133 insertions(+), 77 deletions(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index 2b8fa8e..daf42c3 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -72,7 +72,7 @@
       The \Gls{fpakc} is a simulation tool that models species in plasma (ions, electrons and neutrals) following the trajectories of macro-particles as they move and interact between them and the boundaries of the domain.
       Particles properties are scattered into a finite element mesh in 1, 2 or three dimensions, with the possibility to choose different geometries.
       The official repository can be found at: \url{https://gitlab.com/JorgeGonz/fpakc.git}.
-      The code is currently in very early steps of development and further improvements are expected very soon.
+      The code is currently in the very early steps of development and further refinements are expected very soon.
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Main Guidelines}
@@ -86,11 +86,11 @@
         \item \acrshort{fpakc} is coded in a \textit{understandable} way.
               This means that the code is required to be written in a clear way that is easy to understand and maintain.
               Variables and procedure names need to be self-understanding.
-              This ease the process of fixing bugs and improving the codes by a large team of developers.
+              This eases the process of fixing bugs and improving the codes by a large team of developers.
               For more information, please refer to the \acrshort{fpakc} Coding Style document.
-        \item \acrshort{fpakc} requires to be ease to use.
+        \item \acrshort{fpakc} requires being ease to use.
               Input files are required to be in a \textit{human} format, meaning that the different options can be easily understood without constant reference to the user guide.
-              \acrshort{fpakc} is aimed to be used in a wide range of applications and by a variety of scientist: from very established ones to newcomers to the field and also students.
+              \acrshort{fpakc} is aimed to be used in a wide range of applications and by various scientists: from well-established ones to newcomers to the field and also students.
       \end{enumerate}
     
       These are foundation stones of \acrshort{fpakc} and its development and should always be followed, at least for the releases in the official repository.
@@ -105,16 +105,16 @@
     \section{The Particle Method}
       \Gls{fpakc} uses macro-particles to simulate the dynamics of different plasma species (mainly ions, electrons and neutrals).
       These macro-particles could represent a large amount of real particles.
-      For now own, macro-particles will be referred as just particles by abusing of language.
+      For now own, macro-particles will be referred as just particles by abuse of language.
       During the initiation phase, the input and mesh file(s) are reading.
       If an initial distribution for a species is specified in the input file, particles to match that distribution are loaded into the cells.
       
       The general steps performed in each iteration are:
       \begin{enumerate}
         \item Firstly, new particles are introduced into the domain as specified in the input file.
-        \item Particles are then pushed accounting for possible acceleration by external forces.
-              During this process, if a particle changes cell it is found using the connectivity between elements.
-              If a particle encounters a boundary instead a new cell, the interaction between the boundary and the wall is computed.
+        \item Particles are then pushed, accounting for possible acceleration by external forces.
+              During this process, if a particle changes cell, it is found using the connectivity between elements.
+              If a particle encounters a boundary instead a new cell, the interaction between the boundary and the wall are computed.
               A particle may abandon the computational domain and is no longer accounted for.
         \item Next, collisions for the particles inside each cell are carried out.
               This may include different collision processes for each particle.
@@ -124,10 +124,10 @@
         \item Finally, particle properties are scattered among the mesh nodes.
               These properties are density, momentum and the stress tensor.
         \item If requested, the electromagnetic field is computed.
-        \item If the number of iteration requires writing output files, it is done after all steps for the particles is completed.
+        \item If the number of iteration requires writing output files, it is done after all steps for the particles are completed.
       \end{enumerate}
     
-      \Gls{fpakc} has the capability to configure all the behavior of the simulation via the input file.
+      \Gls{fpakc} has the capability to configure all the behaviour of the simulation via the input file.
       Parameters as injection, the kind of pusher used for each species, boundary conditions or collisions are user-input parameters and will be described in Chap.~\ref{ch:input_file}.
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -168,8 +168,8 @@
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Find new cell}      
       Once the position and velocity of the particle are updated, the new cell that contains the particle is searched.
-      This is done by a neighbor search, starting from the previous cell containing the particle.
-      In the process of finding the new cell, it is possible that a particle encounters a boundary.
+      This is done by a neighbour search, starting from the previous cell containing the particle.
+      In the process of finding the new cell, a particle might encounter a boundary.
       When the particle interacts with the boundary, the particle may continue its life in the simulation or might be eliminated from it.
       Once that the new cell is found or that the particle life has been terminated, the pushing is complete.
       If a secondary mesh is used for the Monte-Carlo Collision method, the new cell in that mesh in which the particle reside is also found by the same method, although no interaction with the boundaries is accounted for this step.
@@ -178,7 +178,7 @@
     \section{Variable Weighting Scheme\label{sec:weightingScheme}}
       One of the issues in particle simulations, specially for axial-symmetrical cases, is that due to the disparate volume of cells, specially close to the axis, the statistics in some cells is usually poor.
       To try to fix that, the possibility to include a Variable Weighting Scheme in the simulations is available in \Gls{fpakc}.
-      These schemes detect when a particle change cells and split it if necessary to improve statistics.
+      These schemes detect when a particle changes cells and split it if necessary to improve statistics.
       The use of a Variable Weighting Scheme is defined by the user in the input file.
       
       Beware that this can increase the number of particles in the simulation and increase computational time.
@@ -189,16 +189,16 @@
       \Gls{fpakc} distinguish between two types of interactions: \acrfull{mcc} and \acrfull{cs}.
       \acrshort{mcc} refers to the process in which two particles interact in short range.
       These processes include, but are not limited to: elastic collisions, ionization/recombination, charge-exchange, excitation/de-excitation\ldots
-      A secondary mesh, with cell sizes in the range of the mean-free path, can be used for this type of collisions.
+      A secondary mesh, with cell sizes in the range of the mean-free path, can be used for this type of collision.
       \acrshort{cs} refers to the large range interaction that a charged species suffer do to the charge of other particles.
       The interactions between the different species is defined by the user.
       
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
       \subsection{\acrlong{mcc}}
-        For each cell the maximum number of collisions between particle is computed.
+        For each cell, the maximum number of collisions between particle is computed.
         For each collision, a random pair of particles is chosen.
         A loop over all possible collisions for the pair of particles chosen is performed.
-        If a random number is above the probability of collision for that specific type, the collision take place.
+        If a random number is above the probability of collision for that specific type, the collision takes place.
         If not, the next type for the particle pair is checked.
               
         Below are described the type of collision process implemented in \acrshort{fpakc}:
@@ -219,7 +219,7 @@
 
           \item Recombination.
                 When an electron and an ion interact, there is a possibility for them to be recombined into a neutral particle.
-                The photon emitted by this process is not modelled yet.
+                The photons emitted by this process are not modelled yet.
         \end{itemize}
       
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -238,7 +238,7 @@
       Once that the pushing is complete, the array of particles that remain inside the domain is copied to a new array.
       The new array containing only the particles inside the domain will be the one used in the next steps.
       In this section, particles are assigned to the list of particles inside each individual cell.
-      Unfortunately, this is done right now without parallelisation and is very CPU consuming.
+      Unfortunately, this is done right now without parallelization and is very CPU consuming.
       
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Probing}\label{sec:probing}
@@ -250,21 +250,21 @@
       The user can decide the grid width and the number of points in each direction.
       The distribution function will be calculated and wrote with a time step decided by the user.
       
-      If a particle velocity resides outside of the velocity grid (in any direction), it wont be added to the tally of the distribution function.
-      Due to the limitation of only taking into account particles in the cell, and not neighbour particles, two probes for the same species at different positions but in the same cell will output the same results.
-      A more advance method taking into account distance between the particles and the probe position as well as particles in neighbour cells could be implemented to improve the statistics of the distribution function.
+      If a particle velocity resides outside the velocity grid (in any direction), it will not be added to the tally of the distribution function.
+      Due to the limitation of only considering particles in the cell, and not neighbour particles, two probes for the same species at different positions but in the same cell will output the same results.
+      A more advance method considering distance between the particles and the probe position as well as particles in neighbour cells could be implemented to improve the statistics of the distribution function.
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Scattering}
       The properties of each particle are deposited in the nodes from the containing cell.
-      This process depend on the cell type, but in general, each node receive a proportional part of the particle properties as a function of the particle position inside the cell.
-      Figure \ref{fig:scatteringQuad} shows how a particle at a generic position $p(x_1, x_2)$ inside the cell is scattered to the four nodes.
+      This process depends on the cell type, but in general, each node receives a proportional part of the particle properties as a function of the particle position inside the cell.
+      The figure \ref{fig:scatteringQuad} shows how a particle at a generic position $p(x_1, x_2)$ inside the cell is scattered to the four nodes.
       \begin{wrapfigure}{l}{0.4\textwidth}
         \centering
         \includegraphics{figures/scatteringQuad}
         \caption{\label{fig:scatteringQuad}Example of how a particle is weighted in a quadrilateral cell.}
       \end{wrapfigure}
-      Each node receives a proportional part of the area formed by dividing the cell in for rectangles using as an additional vertex the particle position.
+      Each node receives a proportional part of the area formed by dividing the cell in for rectangles, using as an additional vertex the particle position.
       These properties are dimensionless, but they are converted to the correct units once the output is printed.
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -273,11 +273,11 @@
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Average scheme}
-      Particle-in-cell codes has an intrinsic statistical noise associated with them.
+      Particle-in-cell codes have an intrinsic statistical noise associated with them.
       Although this can be reduced by increasing the number of particles, this also increases the CPU requirements of the case.
       
       It is quite common that most cases reach a quasi-steady state after a number of iterations and time-average results can be obtained after to improve analysis, plotting and restarting the case using these time-average results as new species backgrounds.
-      Although this is possible to do once the simulation is finished with post-processing tools, this is limited to the amount of iterations printed.
+      Although this is possible to do once the simulation is finished with post-processing tools, this is limited to the number of iterations printed.
       
       \Gls{fpakc} implements a simple average scheme that, after a start time provided by the user, scores a mean and standard deviation of all the main species properties, and the electromagnetic field.
       This scheme is based on the Welford's online algorithm~\cite{welford1962note}.
@@ -286,7 +286,7 @@
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  
   \chapter{Installation}
     \section{Required Packages}
-      In order to properly compile \gls{fpakc}, the following packages are required.
+      To properly compile \gls{fpakc}, the following packages are required.
       \subsection{Gfortran}
         The \Gls{opensource} free compiler \Gls{gfortran}\cite{gfortranURL} from GCC is the basic way to compile \acrshort{fpakc}.
         It is distributed with all GNU/Linux distributions.
@@ -369,7 +369,7 @@ make
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{Case file}
       The required format for the case file is \Gls{json}.
-      \Gls{json} is a case-sensitive format, so input must be written with the correct capitalisation.
+      \Gls{json} is a case-sensitive format, so input must be written with the correct capitalization.
       The basic structure and options available for the case file are explained below.
       The order of the objects and variables is irrelevant, but the structure needs to be maintained.
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -380,9 +380,9 @@ make
           \item \textbf{path}: Character.
                                Path for the output files. This path is also used to locate the mesh input file.
           \item \textbf{folder}: Character.
-                                 Base name of the folder in wich output files are placed.
+                                 Base name of the folder in which output files are placed.
                                  The date and time is appended to this name.
-                                 If none is provided, only the date and time is writted as the folder name.
+                                 If none is provided, only the date and time is written as the folder name.
           \item \textbf{triggerOutput}: Integer.
                                         Determines the number of iterations between writing output files for macroscopic quantities.
           \item \textbf{cpuTime}: Logical. 
@@ -515,7 +515,7 @@ make
                                   \item \textbf{absorption}: Particle is eliminated from the domain.
                                                              The particle is first moved into the edge and its properties are scattered among the edge nodes.
                                   \item \textbf{transparent}: Particle abandon the numerical domain.
-                                  \item \textbf{wallTemperature}: Reflective wall with cosntant temperature that exchange heat with particles.
+                                  \item \textbf{wallTemperature}: Reflective wall with constant temperature that exchange heat with particles.
                                                                   Required parameters are:
                                                                   \begin{itemize}
                                                                     \item \textbf{temperature}: Real.
@@ -526,8 +526,8 @@ make
                                                                                                  Specific heat capacity of the material.
                                                                   \end{itemize}
                                   \item \textbf{ionization}: Per each particle crossing the surface with this type of boundary, a number of ionization events are calculated.
-                                                             A pair of ion-electron is generated for each ionization event taking as a reference a neutral background.
-                                                             Secondary electron is taken as same type as incident particle.
+                                                             A pair of ion-electron is generated for each ionization event, taking as a reference a neutral background.
+                                                             The secondary electron is taken as the same type as the incident particle.
                                                              The available input is:
                                                              \begin{itemize}
                                                                \item \textbf{neutral}: Object.
@@ -540,7 +540,7 @@ make
                                                                                          \item \textbf{mass}: Real.
                                                                                                               Units in $\unit{kg}$.
                                                                                                               Mass of neutral species.
-                                                                                                              If missing, the mass of the ion is ussed
+                                                                                                              If missing, the mass of the ion is used
                                                                                          \item \textbf{density}: Real.
                                                                                                                  Units in $\unit{m^{-3}}$.
                                                                                                                  Density of neutral background.
@@ -558,18 +558,18 @@ make
                                                                                        \end{itemize}
                                                                \item \textbf{effectiveTime}: Real.
                                                                                              Units in $\unit{s}$.
-                                                                                             As the particle is no longer simulated once it crossed the boundary, this time represent the effective time in which the particle produces ionization processes in the neutral background.
+                                                                                             As the particle is no longer simulated once it crossed the boundary, this time represents the effective time in which the particle produces ionization processes in the neutral background.
                                                                                              Required parameter.
                                                                \item \textbf{energyThreashold}: Real.
                                                                                                 Units in $\unit{eV}$.
                                                                                                 Ionization energy threshold for the simulated process.
                                                                                                 Required parameter.
                                                                \item \textbf{crossSection}: Character.
-                                                                                            Complete path to the cross section data for the ionization process.
+                                                                                            Complete path to the cross-section data for the ionization process.
                                                                                              
                                                              \end{itemize}
                                   \item \textbf{axis}: Identifies the symmetry axis for 2D cylindrical simulations.
-                                                       If for some reason a particle interact with this axis, it is reflected.
+                                                       If , for some reason, a particle interacts with this axis, it is reflected.
                                 \end{itemize}
         \end{itemize}
       
@@ -596,7 +596,7 @@ make
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
       \subsection{inject}
         The array \textbf{inject} specifies the injection of particles from different surfaces.
-        The injection of particles need to be associated to a physicalSurface in the mesh file.
+        The injection of particles needs to be associated to a physicalSurface in the mesh file.
         Multiple injections can be associated to the same surface.
         \begin{itemize}
           \item \textbf{name}: Character.
@@ -610,7 +610,9 @@ make
                                 Available values are:
                                 \begin{itemize}
                                   \item \textbf{A}: Ampere.
-                                  \item \textbf{sccm}: Standard cubic centimeter.
+                                  \item \textbf{Am2}: Ampere per square meter.
+                                                      This value will be multiplied by the square of the reference length to convert to A, it will not consider the surface area of injection.
+                                  \item \textbf{sccm}: Standard cubic centimetre.
                                   \item \textbf{part/s}: Particles (real) per second.
                                 \end{itemize}
           \item \textbf{v}: Real.
@@ -627,7 +629,7 @@ make
                                   \begin{itemize}
                                     \item \textbf{Maxwellian}: Maxwellian distribution of temperature \textbf{T} and mean \textbf{v} times the value of \textbf{n} in the specified direction.
                                     \item \textbf{Half-Maxwellian}: Half-Maxwellian distribution of temperature \textbf{T} and mean \textbf{v} times the value of \textbf{n} in the specified direction.
-                                                                    Only takes into account the positive part of the half-Maxwellian.
+                                                                    Only considers the positive part of the half-Maxwellian.
                                     \item \textbf{Delta}: Dirac's delta distribution function. All particles are injected with velocity \textbf{v} times the value of \textbf{n} in the specified direction.
                                   \end{itemize}
           \item \textbf{T}: Real.
@@ -651,7 +653,7 @@ make
           \item \textbf{radius}: Real.
                                  Reference atomic radius in $\unit{m}$.
           \item \textbf{crossSection}: Real.
-                                       Reference cross section in $\unit{m^2}$.
+                                       Reference cross-section in $\unit{m^2}$.
                                        If this value is present, radius is ignored.
         \end{itemize}
       
@@ -677,8 +679,8 @@ make
                                  Indicates the type of pusher used for each species:
                                  \begin{itemize}
                                    \item \textbf{Neutral}: Pushes a particle without any external force.
-                                   \item \textbf{Electrostatic}: Pushes a particle including the effect of the electrostatic field.
-                                   \item \textbf{Electromagnetic}: Pushes particles accounting for the electromagnetic field.
+                                   \item \textbf{Electrostatic}: Pushes a particle, including the effect of the electrostatic field.
+                                   \item \textbf{Electromagnetic}: Pushes a particle, accounting for the electromagnetic field.
                                  \end{itemize}
           \item \textbf{WeightingScheme}: Character.
                                           Indicates the variable weighting scheme to be used in the simulation.
@@ -726,11 +728,11 @@ make
         \end{itemize}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
       \subsection{interactions}\label{ssec:input_interactions}
-        This object determine the different interactions among species.
+        This object determines the different interactions among species.
         Acceptable values are:
         \begin{itemize}
           \item \textbf{folderCollisions}: Character.
-                                           Indicates the path to in which the cross section tables are allocated.
+                                           Indicates the path to in which the cross-section tables are allocated.
           \item \textbf{meshCollisions}: Character.
                                          Determines a specific mesh for \acrshort{mcc} processes.
                                          The file needs to be located in the folder \textbf{output.folder}.
@@ -757,7 +759,7 @@ make
                                                                                      Accepted values are \textbf{elastic}, \textbf{chargeExchange}, \textbf{ionization} and \textbf{recombination}.
                                                                                      Please refer to Sec.~\ref{ssec:collisions} for a description of the different collision types.
                                                                 \item \textbf{crossSection}: Character.
-                                                                                             File in \textbf{interactions.folderCollisions} that contains the cross section data as a 1D table of relative energy (in $\unit{eV}$) and cross section (in $\unit{m^-2}$).
+                                                                                             File in \textbf{interactions.folderCollisions} that contains the cross-section data as a 1D table of relative energy (in $\unit{eV}$) and cross-section (in $\unit{m^-2}$).
                                                                 \item \textbf{energyThreshold}: Real.
                                                                                                 Energy threshold of the collisional process in $\unit{eV}$.
                                                                                                 Only valid for \textbf{ionization} and \textbf{recombination} processes.
@@ -778,7 +780,7 @@ make
                                   \begin{itemize}
                                     \item \textbf{species\_i}, \textbf{species\_j}: Character.
                                                                                     Define the two species involved in the collision processes.
-                                                                                    Order is indiferent.
+                                                                                    Order is indifferent.
                                   
                                   \end{itemize}
         \end{itemize}
@@ -804,9 +806,9 @@ make
     
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     \section{1D Emissive Cathode (1D\_Cathode)}
-      Emission from a 1D cathode in both, cartesian and radial coordinates.
-      Both cases insert the same amount of electrons from the minimum coordinate and have the same boundary conditions for particles and the electrostatic field.
-      This case is useful to ilustrate hoy \acrshort{fpakc} can deal with different geometries by just modifying some parameters in the input file.
+      Emission from a 1D cathode in both, Cartesian and radial coordinates.
+      Both cases insert the same number of electrons from the minimum coordinate and have the same boundary conditions for particles and the electrostatic field.
+      This case is useful to illustrate how \acrshort{fpakc} can deal with different geometries by just modifying some parameters in the input file.
       The same mesh file (\lstinline|mesh.msh|) is used for both cases.
       
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/src/fpakc.f90 b/src/fpakc.f90
index e85f5f6..e90a5e0 100644
--- a/src/fpakc.f90
+++ b/src/fpakc.f90
@@ -27,6 +27,10 @@ PROGRAM fpakc
 
   !Reads the json configuration file
   CALL readConfig(inputFile)
+
+  !Create output folder and initial files
+  CALL initOutput(inputFile)
+
   !Do '0' iteration
   t = tInitial
 
diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 46b627b..7a1b206 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -84,20 +84,6 @@ MODULE moduleInput
       CALL readParallel(config)
       CALL checkStatus(config, "readParallel")
 
-      !If everything is correct, creates the output folder
-      CALL EXECUTE_COMMAND_LINE('mkdir ' // path // folder )
-      !Copies input file to output folder
-      CALL EXECUTE_COMMAND_LINE('cp ' // inputFile // ' ' // path // folder)
-      !Copies particle mesh
-      IF (mesh%dimen > 0) THEN
-        CALL EXECUTE_COMMAND_LINE('cp ' // pathMeshParticle // ' ' // path // folder)
-        IF (doubleMesh) THEN
-          CALL EXECUTE_COMMAND_LINE('cp ' // pathMeshColl // ' ' // path // folder)
-
-        END IF
-
-      END IF
-
     END SUBROUTINE readConfig
     
     !Checks the status of the JSON case file and, if failed, exits the execution.
@@ -813,8 +799,8 @@ MODULE moduleInput
       REAL(8), DIMENSION(:), ALLOCATABLE:: v0
       REAL(8):: effTime
       REAL(8):: eThreshold !Energy threshold
-      INTEGER:: speciesID
-      CHARACTER(:), ALLOCATABLE:: speciesName, crossSection
+      INTEGER:: speciesID, electronSecondaryID
+      CHARACTER(:), ALLOCATABLE:: speciesName, crossSection, electronSecondary
       LOGICAL:: found
       INTEGER:: nTypes
 
@@ -869,8 +855,17 @@ MODULE moduleInput
             CALL config%get(object // '.crossSection', crossSection, found)
             IF (.NOT. found) CALL criticalError("missing parameter 'crossSection' for neutrals in ionization", 'readBoundary')
 
-            CALL initIonization(boundary(i)%bTypes(s)%obj, species(s)%obj%m, m0, n0, v0, T0, &
-                                                           speciesID, effTime, crossSection, eThreshold)
+            CALL config%get(object // '.electronSecondary', electronSecondary, found)
+            electronSecondaryID = speciesName2Index(electronSecondary)
+            IF (found) THEN
+              CALL initIonization(boundary(i)%bTypes(s)%obj, species(s)%obj%m, m0, n0, v0, T0, &
+                                                             speciesID, effTime, crossSection, eThreshold,electronSecondaryID)
+
+            ELSE
+              CALL initIonization(boundary(i)%bTypes(s)%obj, species(s)%obj%m, m0, n0, v0, T0, &
+                                                             speciesID, effTime, crossSection, eThreshold)
+
+            END IF
 
           CASE('wallTemperature')
             CALL config%get(object // '.temperature', Tw, found)
@@ -1380,5 +1375,37 @@ MODULE moduleInput
 
     END SUBROUTINE readParallel
 
+    SUBROUTINE initOutput(inputFile)
+      USE moduleRefParam
+      USE moduleMesh,   ONLY: mesh, doubleMesh, pathMeshParticle, pathMeshColl
+      USE moduleOutput, ONLY: path, folder
+      IMPLICIT NONE
+
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: inputFile
+      INTEGER:: fileReference = 30
+      !If everything is correct, creates the output folder
+      CALL EXECUTE_COMMAND_LINE('mkdir ' // path // folder )
+      !Copies input file to output folder
+      CALL EXECUTE_COMMAND_LINE('cp ' // inputFile // ' ' // path // folder)
+      !Copies particle mesh
+      IF (mesh%dimen > 0) THEN
+        CALL EXECUTE_COMMAND_LINE('cp ' // pathMeshParticle // ' ' // path // folder)
+        IF (doubleMesh) THEN
+          CALL EXECUTE_COMMAND_LINE('cp ' // pathMeshColl // ' ' // path // folder)
+
+        END IF
+
+      END IF
+
+      ! Write commit of fpakc
+      CALL SYSTEM('git rev-parse HEAD > ' // path // folder // '/' // 'fpakc_commit.txt')
+
+      ! Write file with reference values
+      OPEN (fileReference, file=path // folder // '/' // 'reference.txt')
+      WRITE(fileReference, "(7(1X,A20))")      'L_ref', 'v_ref', 'ti_ref', 'Vol_ref', 'EF_ref', 'Volt_ref', 'B_ref'
+      WRITE(fileReference, "(7(1X,ES20.6E3))")  L_ref,   v_ref,   ti_ref,   Vol_ref,   EF_ref,   Volt_ref,   B_ref
+      CLOSE(fileReference)
+
+    END SUBROUTINE initOutput
 
 END MODULE moduleInput
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 4f72e10..091e52e 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -147,7 +147,13 @@ MODULE moduleMeshBoundary
             ALLOCATE(newElectron)
             ALLOCATE(newIon)
 
-            newElectron%species => part%species
+            IF (ASSOCIATED(bound%electronSecondary)) THEN
+              newElectron%species => bound%electronSecondary
+
+            ELSE
+              newElectron%species => part%species
+
+            END IF
             newIon%species      => bound%species
 
             newElectron%v = v0 + (1.D0 + bound%deltaV*v0/NORM2(v0))
diff --git a/src/modules/moduleBoundary.f90 b/src/modules/moduleBoundary.f90
index 83c815c..0b76105 100644
--- a/src/modules/moduleBoundary.f90
+++ b/src/modules/moduleBoundary.f90
@@ -38,6 +38,7 @@ MODULE moduleBoundary
   TYPE, PUBLIC, EXTENDS(boundaryGeneric):: boundaryIonization
     REAL(8):: m0, n0, v0(1:3), vTh !Properties of background neutrals.
     CLASS(speciesGeneric), POINTER:: species !Ion species
+    CLASS(speciesCharged), POINTER:: electronSecondary !Pointer to species considerer as secondary electron
     TYPE(table1D):: crossSection
     REAL(8):: effectiveTime
     REAL(8):: eThreshold
@@ -103,17 +104,19 @@ MODULE moduleBoundary
 
     END SUBROUTINE initWallTemperature
 
-    SUBROUTINE initIonization(boundary, me, m0, n0, v0, T0, speciesID, effTime, crossSection, eThreshold)
+    SUBROUTINE initIonization(boundary, me, m0, n0, v0, T0, ion, effTime, crossSection, eThreshold, electronSecondary)
       USE moduleRefParam
       USE moduleSpecies
       USE moduleCaseParam
       USE moduleConstParam
+      USE moduleErrors
       IMPLICIT NONE
 
       CLASS(boundaryGeneric), ALLOCATABLE, INTENT(out):: boundary
       REAL(8), INTENT(in):: me !Electron mass
       REAL(8), INTENT(in):: m0, n0, v0(1:3), T0 !Neutral properties
-      INTEGER:: speciesID
+      INTEGER, INTENT(in):: ion
+      INTEGER, OPTIONAL, INTENT(in):: electronSecondary
       REAL(8):: effTime
       CHARACTER(:), ALLOCATABLE, INTENT(in):: crossSection
       REAL(8), INTENT(in):: eThreshold
@@ -126,7 +129,22 @@ MODULE moduleBoundary
         boundary%n0 = n0 * Vol_ref
         boundary%v0 = v0 / v_ref
         boundary%vTh = DSQRT(kb*T0/m0)/v_ref
-        boundary%species => species(speciesID)%obj
+        boundary%species => species(ion)%obj
+        IF (PRESENT(electronSecondary)) THEN
+          SELECT TYPE(sp => species(electronSecondary)%obj)
+          TYPE IS(speciesCharged)
+            boundary%electronSecondary => sp
+
+          CLASS DEFAULT
+            CALL criticalError("Species " // sp%name // " chosen for " // &
+                               "secondary electron is not a charged species", 'initIonization')
+
+          END SELECT
+
+        ELSE
+          boundary%electronSecondary => NULL()
+
+        END IF
         boundary%effectiveTime = effTime / ti_ref
         CALL boundary%crossSection%init(crossSection)
         CALL boundary%crossSection%convert(eV2J/(m_ref*v_ref**2), 1.D0/L_ref**2)
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 4e57083..b37e021 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -110,6 +110,10 @@ MODULE moduleInject
         !Input current in Ampers
         self%nParticles = INT(flow*tauInject*ti_ref/(qe*species(sp)%obj%weight))
 
+      CASE ("Am2")
+        !Input current in Ampers per square meter
+        self%nParticles = INT(flow*tauInject*ti_ref*L_ref**2/(qe*species(sp)%obj%weight))
+
       CASE ("part/s")
         !Input current in Ampers
         self%nParticles = INT(flow*tauInject*ti_ref/species(sp)%obj%weight)
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index e539fed..0b2837f 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -517,11 +517,6 @@ MODULE moduleSolver
 
       INTEGER, INTENT(in):: t
 
-      IF (t == tInitial) THEN
-        CALL SYSTEM('git rev-parse HEAD > ' // path // folder // '/' // 'fpack_commit.txt')
-
-      END IF
-
       CALL outputProbes(t)
 
       counterOutput = counterOutput + 1

From a3bdf8230a50fd21f0dd23e55c831df5d8f7cc06 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 19 May 2024 10:55:20 +0200
Subject: [PATCH 133/203] Implementation of Boltzmann electrons

Still not working, just saving code.
---
 src/modules/init/moduleInput.f90              |  4 +
 .../solver/electromagnetic/moduleEM.f90       | 95 +++++++++++++++++--
 src/modules/solver/moduleSolver.f90           |  2 +
 3 files changed, 94 insertions(+), 7 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 46b627b..7f6c036 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -273,6 +273,10 @@ MODULE moduleInput
           !Read BC
           CALL readEMBoundary(config)
 
+        CASE("ElectrostaticBoltzmann")
+          !Read BC
+          CALL readEMBoundary(config)
+
         CASE("ConstantB")
           !Read BC
           CALL readEMBoundary(config)
diff --git a/src/modules/solver/electromagnetic/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
index bdf6b03..c7c74ee 100644
--- a/src/modules/solver/electromagnetic/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -49,7 +49,7 @@ MODULE moduleEM
     END SUBROUTINE
 
     !Assemble the source vector based on the charge density to solve Poisson's equation
-    SUBROUTINE assembleSourceVector(vectorF)
+    SUBROUTINE assembleSourceVector(vectorF, n_e)
       USE moduleMesh
       USE moduleRefParam
       IMPLICIT NONE
@@ -58,15 +58,16 @@ MODULE moduleEM
       REAL(8), ALLOCATABLE:: localF(:)
       INTEGER, ALLOCATABLE:: nodes(:)
       REAL(8), ALLOCATABLE:: rho(:)
+      REAL(8), INTENT(in), OPTIONAL:: n_e(1:mesh%numNodes)
       INTEGER:: nNodes
       INTEGER:: e, i, ni
       CLASS(meshNode), POINTER:: node
 
-      !$OMP SINGLE
+      ! !$OMP SINGLE
       vectorF = 0.D0
-      !$OMP END SINGLE
+      ! !$OMP END SINGLE
 
-      !$OMP DO REDUCTION(+:vectorF)
+      ! !$OMP DO REDUCTION(+:vectorF)
       DO e = 1, mesh%numCells
         nNodes = mesh%cells(e)%obj%nNodes
         nodes  = mesh%cells(e)%obj%getNodes(nNodes)
@@ -77,6 +78,10 @@ MODULE moduleEM
           ni = nodes(i)
           node => mesh%nodes(ni)%obj
           rho(i) = DOT_PRODUCT(qSpecies(:), node%output(:)%den/(vol_ref*node%v*n_ref))
+          IF (PRESENT(n_e)) THEN
+            rho(i) = rho(i) - n_e(i)
+
+          END IF
 
         END DO
 
@@ -94,10 +99,10 @@ MODULE moduleEM
         DEALLOCATE(nodes, rho)
 
       END DO
-      !$OMP END DO
+      ! !$OMP END DO
 
       !Apply boundary conditions
-      !$OMP DO
+      ! !$OMP DO
       DO i = 1, mesh%numNodes
         node => mesh%nodes(i)%obj
 
@@ -108,7 +113,7 @@ MODULE moduleEM
         END SELECT
 
       END DO
-      !$OMP END DO
+      ! !$OMP END DO
 
     END SUBROUTINE assembleSourceVector
 
@@ -156,4 +161,80 @@ MODULE moduleEM
 
     END SUBROUTINE solveElecField
 
+    FUNCTION BoltzmannElectron(phi, n) RESULT(n_e)
+      USE moduleRefParam
+      USE moduleConstParam
+      IMPLICIT NONE
+
+      INTEGER, INTENT(in):: n
+      REAL(8), INTENT(in):: phi(1:n)
+      REAL(8):: n_e(1:n)
+      REAL(8):: n_e0 = 1.0D16, phi_0 = -520.0D0, T_e = 11604.0
+
+      n_e = n_e0 / n_ref * EXP(-qe * (phi*Volt_ref - phi_0) / (kb * T_e))
+
+      RETURN
+
+    END FUNCTION BoltzmannElectron
+
+    SUBROUTINE solveElecFieldBoltzmann
+      USE moduleMesh
+      USE moduleErrors
+      IMPLICIT NONE
+
+      INTEGER, SAVE:: INFO
+      INTEGER:: n
+      REAL(8), ALLOCATABLE, SAVE:: tempF(:)
+      REAL(8), ALLOCATABLE:: n_e(:), phi_old(:)
+      INTEGER:: k
+      EXTERNAL:: dgetrs
+
+      !$OMP SINGLE
+      ALLOCATE(tempF(1:mesh%numNodes))
+      ALLOCATE(n_e(1:mesh%numNodes))
+      ALLOCATE(phi_old(1:mesh%numNodes))
+      DO n = 1, mesh%numNodes
+        tempF(n) = mesh%nodes(n)%obj%emData%phi
+
+      END DO
+      n_e = BoltzmannElectron(tempF, mesh%numNodes)
+      !$OMP END SINGLE
+
+      CALL assembleSourceVector(tempF, n_e)
+
+      !$OMP SINGLE
+      DO k = 1, 5
+        phi_old = tempF
+        CALL dgetrs('N', mesh%numNodes, 1, mesh%K, mesh%numNodes, &
+                                mesh%IPIV, tempF,  mesh%numNodes, info)
+
+        PRINT*, k, "diff = ", MAXVAL(ABS(tempF - phi_old))
+        n_e = BoltzmannElectron(tempF, mesh%numNodes)
+        CALL assembleSourceVector(tempF, n_e)
+
+      END DO
+      !$OMP END SINGLE
+
+      IF (info == 0) THEN
+        !Suscessful resolution of Poission equation
+        !$OMP DO
+        DO n = 1, mesh%numNodes
+          mesh%nodes(n)%obj%emData%phi = tempF(n)
+
+        END DO
+        !$OMP END DO
+
+      ELSE
+        !$OMP SINGLE
+        CALL criticalError('Poisson equation failed', 'solveElecFieldBoltzmann')
+        !$OMP END SINGLE
+
+      END IF
+
+      !$OMP SINGLE
+      DEALLOCATE(tempF)
+      !$OMP END SINGLE
+
+    END SUBROUTINE solveElecFieldBoltzmann
+
 END MODULE moduleEM
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index e539fed..c7a0785 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -138,6 +138,8 @@ MODULE moduleSolver
       CASE('Electrostatic','ConstantB')
         self%solveEM => solveElecField
 
+      CASE('ElectrostaticBoltzmann')
+        self%solveEM => solveElecFieldBoltzmann
       END SELECT
 
     END SUBROUTINE initEM

From e4f7987f9078a44dec5484df643402c7f0e20280 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 19 May 2024 16:45:03 +0200
Subject: [PATCH 134/203] Trying to solve

Still I don't understand this basic thing...
---
 .../solver/electromagnetic/moduleEM.f90       | 30 ++++++++++++-------
 1 file changed, 19 insertions(+), 11 deletions(-)

diff --git a/src/modules/solver/electromagnetic/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
index c7c74ee..0f02bed 100644
--- a/src/modules/solver/electromagnetic/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -170,8 +170,18 @@ MODULE moduleEM
       REAL(8), INTENT(in):: phi(1:n)
       REAL(8):: n_e(1:n)
       REAL(8):: n_e0 = 1.0D16, phi_0 = -520.0D0, T_e = 11604.0
+      INTEGER:: i
 
-      n_e = n_e0 / n_ref * EXP(-qe * (phi*Volt_ref - phi_0) / (kb * T_e))
+      DO i =1, n 
+        IF (phi(i)*Volt_ref >= phi_0) THEN
+          n_e(i) = n_e0 / n_ref * EXP(-qe * (phi(i)*Volt_ref - phi_0) / (kb * T_e))
+
+        ELSE
+          n_e(i) = 0.D0
+
+        END IF
+
+      END DO
 
       RETURN
 
@@ -185,7 +195,7 @@ MODULE moduleEM
       INTEGER, SAVE:: INFO
       INTEGER:: n
       REAL(8), ALLOCATABLE, SAVE:: tempF(:)
-      REAL(8), ALLOCATABLE:: n_e(:), phi_old(:)
+      REAL(8), ALLOCATABLE, SAVE:: n_e(:), phi_old(:)
       INTEGER:: k
       EXTERNAL:: dgetrs
 
@@ -193,21 +203,19 @@ MODULE moduleEM
       ALLOCATE(tempF(1:mesh%numNodes))
       ALLOCATE(n_e(1:mesh%numNodes))
       ALLOCATE(phi_old(1:mesh%numNodes))
-      DO n = 1, mesh%numNodes
-        tempF(n) = mesh%nodes(n)%obj%emData%phi
-
-      END DO
-      n_e = BoltzmannElectron(tempF, mesh%numNodes)
-      !$OMP END SINGLE
-
+      n_e = 0.D0
       CALL assembleSourceVector(tempF, n_e)
 
+      !$OMP END SINGLE
+
       !$OMP SINGLE
-      DO k = 1, 5
+      DO k = 1, 10
         phi_old = tempF
         CALL dgetrs('N', mesh%numNodes, 1, mesh%K, mesh%numNodes, &
                                 mesh%IPIV, tempF,  mesh%numNodes, info)
 
+        PRINT *, MAXVAL(n_e),   MINVAL(n_e)
+        PRINT *, MAXVAL(tempF), MINVAL(tempF)
         PRINT*, k, "diff = ", MAXVAL(ABS(tempF - phi_old))
         n_e = BoltzmannElectron(tempF, mesh%numNodes)
         CALL assembleSourceVector(tempF, n_e)
@@ -232,7 +240,7 @@ MODULE moduleEM
       END IF
 
       !$OMP SINGLE
-      DEALLOCATE(tempF)
+      DEALLOCATE(tempF, n_e, phi_old)
       !$OMP END SINGLE
 
     END SUBROUTINE solveElecFieldBoltzmann

From c6470819e852aa619307ed802581ff76140eec9c Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Wed, 26 Jun 2024 15:11:01 +0200
Subject: [PATCH 135/203] Issue with calculating coordinates in quads

The third coordinate (unused) was causing some errors when it was
becomming too large.
---
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 10 +++++++---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   | 12 +++++++-----
 2 files changed, 14 insertions(+), 8 deletions(-)

diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 4341cb0..7bc94ce 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -318,6 +318,8 @@ MODULE moduleMesh2DCart
       INTEGER, INTENT(in):: nNodes
       REAL(8):: fPsi(1:nNodes)
 
+      fPsi = 0.D0
+
       fPsi = (/ (1.D0 - Xi(1)) * (1.D0 - Xi(2)), &
                 (1.D0 + Xi(1)) * (1.D0 - Xi(2)), &
                 (1.D0 + Xi(1)) * (1.D0 + Xi(2)), &
@@ -508,15 +510,15 @@ MODULE moduleMesh2DCart
       conv = 1.D0
       XiO  = 0.D0
 
+      f(3) = 0.D0
       DO WHILE(conv > 1.D-4)
         dPsi = self%dPsi(XiO, 4)
         pDer = self%partialDer(4, dPsi)
         detJ = self%detJac(pDer)
         invJ = self%invJac(pDer)
         fPsi = self%fPsi(XiO, 4)
-        f = (/ DOT_PRODUCT(fPsi,self%x), &
-               DOT_PRODUCT(fPsi,self%y), &
-               0.D0 /) - r
+        f(1:2) = (/ DOT_PRODUCT(fPsi,self%x), &
+                    DOT_PRODUCT(fPsi,self%y) /) - r(1:2)
         Xi = XiO - MATMUL(invJ, f)/detJ
         conv = MAXVAL(DABS(Xi-XiO),1)
         XiO = Xi
@@ -569,6 +571,7 @@ MODULE moduleMesh2DCart
       pDer = self%partialDer(4, dPsi)
       detJ = self%detJac(pDer)
       fPsi = self%fPsi(Xi, 4)
+
       !Compute total volume of the cell
       self%volume  = detJ*4.D0
       !Compute volume per node
@@ -762,6 +765,7 @@ MODULE moduleMesh2DCart
         pDer   = self%partialDer(3, dPsi)
         detJ   = self%detJac(pDer)
         invJ   = self%invJac(pDer)
+
         localK = localK + MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*wTria(l)/detJ
 
       END DO
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index d4baedd..dfa3035 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -326,6 +326,8 @@ MODULE moduleMesh2DCyl
       INTEGER, INTENT(in):: nNodes
       REAL(8):: fPsi(1:nNodes)
 
+      fPsi = 0.D0
+
       fPsi = (/ (1.D0 - Xi(1)) * (1.D0 - Xi(2)), &
                 (1.D0 + Xi(1)) * (1.D0 - Xi(2)), &
                 (1.D0 + Xi(1)) * (1.D0 + Xi(2)), &
@@ -496,7 +498,7 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION elemFQuad
 
-    !Checks if Xi is inside the element
+    !Check if Xi is inside the element
     PURE FUNCTION insideQuad(Xi) RESULT(ins)
       IMPLICIT NONE
 
@@ -524,15 +526,15 @@ MODULE moduleMesh2DCyl
       conv = 1.D0
       XiO  = 0.D0
 
+      f(3) = 0.D0
       DO WHILE(conv > 1.D-4)
         dPsi = self%dPsi(XiO, 4)
         pDer = self%partialDer(4, dPsi)
         detJ = self%detJac(pDer)
         invJ = self%invJac(pDer)
         fPsi = self%fPsi(XiO, 4)
-        f = (/ DOT_PRODUCT(fPsi,self%z), &
-               DOT_PRODUCT(fPsi,self%r), &
-               0.D0 /) - r
+        f(1:2) = (/ DOT_PRODUCT(fPsi,self%z), &
+                    DOT_PRODUCT(fPsi,self%r) /) - r(1:2)
         Xi = XiO - MATMUL(invJ, f)/detJ
         conv = MAXVAL(DABS(Xi-XiO),1)
         XiO = Xi
@@ -553,7 +555,7 @@ MODULE moduleMesh2DCyl
 
       XiArray = (/ -Xi(2), Xi(1), Xi(2), -Xi(1) /)
       nextInt = MAXLOC(XiArray,1)
-      !Selects the higher value of directions and searches in that direction
+      !Select the higher value of directions and searches in that direction
       NULLIFY(neighbourElement)
       SELECT CASE (nextInt)
       CASE (1)

From 6389c8ba2d090db7cc4b29f4c775f4c18f8395d9 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Thu, 27 Jun 2024 12:08:08 +0200
Subject: [PATCH 136/203] Quick because food

Cartesian fixed now
---
 src/modules/common/moduleRandom.f90 | 15 +++++++++++++--
 1 file changed, 13 insertions(+), 2 deletions(-)

diff --git a/src/modules/common/moduleRandom.f90 b/src/modules/common/moduleRandom.f90
index cd553a8..3fbf5c8 100644
--- a/src/modules/common/moduleRandom.f90
+++ b/src/modules/common/moduleRandom.f90
@@ -73,10 +73,21 @@ MODULE moduleRandom
       REAL(8), INTENT(in):: cumWeight(1:)
       REAL(8), INTENT(in):: sumWeight
       REAL(8):: rnd0b
-      INTEGER:: rnd
+      INTEGER:: rnd, i
 
       rnd0b = random(0.D0, sumWeight)
-      rnd = MINLOC(DABS(rnd0b - cumWeight), 1)
+      i = 1
+      DO 
+        IF (rnd0b <= cumWeight(i)) THEN
+          rnd = i
+          EXIT
+
+        ELSE
+          i = i +1
+
+        END IF
+      END DO
+      ! rnd = MINLOC(DABS(rnd0b - cumWeight), 1)
 
     END FUNCTION randomWeighted
 

From 5386114d15114574807f88cac4808924537e3c10 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 29 Jun 2024 14:58:48 +0200
Subject: [PATCH 137/203] Cylindrical injection working better

Seems things are a bit better. Still, more cases are needed and still
not perfectly uniform...
---
 src/modules/common/moduleRandom.f90        |  4 +--
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 | 37 +++++++++++++---------
 2 files changed, 24 insertions(+), 17 deletions(-)

diff --git a/src/modules/common/moduleRandom.f90 b/src/modules/common/moduleRandom.f90
index 3fbf5c8..0237de1 100644
--- a/src/modules/common/moduleRandom.f90
+++ b/src/modules/common/moduleRandom.f90
@@ -75,10 +75,10 @@ MODULE moduleRandom
       REAL(8):: rnd0b
       INTEGER:: rnd, i
 
-      rnd0b = random(0.D0, sumWeight)
+      rnd0b = random()
       i = 1
       DO 
-        IF (rnd0b <= cumWeight(i)) THEN
+        IF (rnd0b <= cumWeight(i)/sumWeight) THEN
           rnd = i
           EXIT
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index dfa3035..dbe182f 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -163,7 +163,7 @@ MODULE moduleMesh2DCyl
       r2 = self%n2%getCoordinates()
       self%z  = (/r1(1), r2(1)/)
       self%r  = (/r1(2), r2(2)/)
-      self%weight = r2(2)**2 - r1(2)**2
+      self%weight = DABS(self%r(2)**2 - self%r(1)**2)
       !Normal vector
       self%normal = (/ -(self%r(2)-self%r(1)), &
                          self%z(2)-self%z(1) , &
@@ -223,21 +223,12 @@ MODULE moduleMesh2DCyl
       CLASS(meshEdge2DCyl), INTENT(in):: self
       REAL(8):: rnd
       REAL(8):: r(1:3)
-      REAL(8):: dr, dz
+      REAL(8):: p1(1:2), p2(1:2)
 
       rnd = random()
-      dr  = self%r(2) - self%r(1)
-      dz  = self%z(2) - self%z(1)
-      IF (dr /= 0.D0) THEN
-        r(2) = dr * DSQRT(rnd) + self%r(1)
-        r(1) = dz * (r(2) - self%r(1))/dr + self%z(1)
-
-      ELSE
-        r(2) = self%r(1)
-        r(1) = dz * rnd + self%z(1)
-
-      END IF
-
+      p1 = (/self%z(1), self%r(1) /)
+      p2 = (/self%z(2), self%r(2) /)
+      r(1:2) = (1.D0 - rnd)*p1 + rnd*p2
       r(3)   =  0.D0
 
     END FUNCTION randPosEdge
@@ -572,7 +563,7 @@ MODULE moduleMesh2DCyl
 
     !Compute element volume
     PURE SUBROUTINE volumeQuad(self)
-      USE moduleConstParam, ONLY: PI8
+      USE moduleConstParam, ONLY: PI, PI8
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(inout):: self
@@ -596,15 +587,31 @@ MODULE moduleMesh2DCyl
       Xi = (/-5.D-1, -5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
       self%n1%v = self%n1%v + fPsi(1)*r*detJ*PI8
+      IF (self%r(1) == 0.D0) THEN
+        self%n1%v = self%n1%v * PI / 2.D0
+
+      END IF
       Xi = (/ 5.D-1, -5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
       self%n2%v = self%n2%v + fPsi(2)*r*detJ*PI8
+      IF (self%r(2) == 0.D0) THEN
+        self%n2%v = self%n2%v * PI / 2.D0
+
+      END IF
       Xi = (/ 5.D-1,  5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
       self%n3%v = self%n3%v + fPsi(3)*r*detJ*PI8
+      IF (self%r(3) == 0.D0) THEN
+        self%n3%v = self%n3%v * PI / 2.D0
+
+      END IF
       Xi = (/-5.D-1,  5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
       self%n4%v = self%n4%v + fPsi(4)*r*detJ*PI8
+      IF (self%r(4) == 0.D0) THEN
+        self%n4%v = self%n4%v * PI / 2.D0
+
+      END IF
 
     END SUBROUTINE volumeQuad
 

From 4cadfe536781bd7b901e7adaf8a361be7ebc9c13 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 29 Jun 2024 22:22:10 +0200
Subject: [PATCH 138/203] Seems are a bit better

There is still less density in the axis. I don't find a reason why.
There must be a modification to the weight...
---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 | 24 ++++------------------
 src/modules/moduleInject.f90               |  5 ++---
 2 files changed, 6 insertions(+), 23 deletions(-)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index dbe182f..4991b7e 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -586,32 +586,16 @@ MODULE moduleMesh2DCyl
       !Computes volume per node
       Xi = (/-5.D-1, -5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
-      self%n1%v = self%n1%v + fPsi(1)*r*detJ*PI8
-      IF (self%r(1) == 0.D0) THEN
-        self%n1%v = self%n1%v * PI / 2.D0
-
-      END IF
+      self%n1%v = self%n1%v + fPsi(1)*self%volume
       Xi = (/ 5.D-1, -5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
-      self%n2%v = self%n2%v + fPsi(2)*r*detJ*PI8
-      IF (self%r(2) == 0.D0) THEN
-        self%n2%v = self%n2%v * PI / 2.D0
-
-      END IF
+      self%n2%v = self%n2%v + fPsi(2)*self%volume
       Xi = (/ 5.D-1,  5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
-      self%n3%v = self%n3%v + fPsi(3)*r*detJ*PI8
-      IF (self%r(3) == 0.D0) THEN
-        self%n3%v = self%n3%v * PI / 2.D0
-
-      END IF
+      self%n3%v = self%n3%v + fPsi(3)*self%volume
       Xi = (/-5.D-1,  5.D-1, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
-      self%n4%v = self%n4%v + fPsi(4)*r*detJ*PI8
-      IF (self%r(4) == 0.D0) THEN
-        self%n4%v = self%n4%v * PI / 2.D0
-
-      END IF
+      self%n4%v = self%n4%v + fPsi(4)*self%volume
 
     END SUBROUTINE volumeQuad
 
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index b37e021..fb01f75 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -306,8 +306,6 @@ MODULE moduleInject
 
       nMin = nMin + 1
       nMax = nMin + self%nParticles - 1
-      !Assign weight to particle.
-      partInj(nMin:nMax)%weight = self%species%weight
       !Particle is considered to be outside the domain
       partInj(nMin:nMax)%n_in = .FALSE.
       !$OMP END SINGLE
@@ -315,10 +313,11 @@ MODULE moduleInject
       !$OMP DO
       DO n = nMin, nMax
         randomX = randomWeighted(self%cumWeight, self%sumWeight)
-
         randomEdge => mesh%edges(self%edges(randomX))%obj
         !Random position in edge
         partInj(n)%r = randomEdge%randPos()
+        !Assign weight to particle.
+        partInj(n)%weight = self%species%weight
         !Volume associated to the edge:
         IF (ASSOCIATED(randomEdge%e1)) THEN
           partInj(n)%cell = randomEdge%e1%n

From cd7bf66bd84213b6cd385dbe84fb7edd6cd0a5eb Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 30 Jun 2024 10:36:36 +0200
Subject: [PATCH 139/203] A workaround

The random position for edges in the axis is corrected so that there is
a more uniform charge density in the axis.

Still, things are not perfect and this is something to really look into
in the future.
---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 | 6 ++++++
 1 file changed, 6 insertions(+)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 4991b7e..9278a27 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -226,6 +226,12 @@ MODULE moduleMesh2DCyl
       REAL(8):: p1(1:2), p2(1:2)
 
       rnd = random()
+      IF (self%r(1) == 0.D0  .OR. &
+          self%r(2) == 0.D0) THEN
+        rnd = rnd**(1.D0/3.D0)
+
+      END IF
+
       p1 = (/self%z(1), self%r(1) /)
       p2 = (/self%z(2), self%r(2) /)
       r(1:2) = (1.D0 - rnd)*p1 + rnd*p2

From 59a322a4c7df17c6de8d507aef35588eae28935d Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 30 Jun 2024 10:46:05 +0200
Subject: [PATCH 140/203] Clean up

Fixing calculation of node volumes.
---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 | 9 +--------
 1 file changed, 1 insertion(+), 8 deletions(-)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 9278a27..df01782 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -580,6 +580,7 @@ MODULE moduleMesh2DCyl
       REAL(8):: dPsi(1:3, 1:4), pDer(1:3, 1:3)
 
       self%volume  = 0.D0
+
       !2D 1 point Gauss Quad Integral
       Xi = 0.D0
       dPsi = self%dPsi(Xi, 4)
@@ -590,17 +591,9 @@ MODULE moduleMesh2DCyl
       !Computes total volume of the cell
       self%volume  = r*detJ*PI8 !4*2*pi
       !Computes volume per node
-      Xi = (/-5.D-1, -5.D-1, 0.D0/)
-      r = self%gatherF(Xi, 4, self%r)
       self%n1%v = self%n1%v + fPsi(1)*self%volume
-      Xi = (/ 5.D-1, -5.D-1, 0.D0/)
-      r = self%gatherF(Xi, 4, self%r)
       self%n2%v = self%n2%v + fPsi(2)*self%volume
-      Xi = (/ 5.D-1,  5.D-1, 0.D0/)
-      r = self%gatherF(Xi, 4, self%r)
       self%n3%v = self%n3%v + fPsi(3)*self%volume
-      Xi = (/-5.D-1,  5.D-1, 0.D0/)
-      r = self%gatherF(Xi, 4, self%r)
       self%n4%v = self%n4%v + fPsi(4)*self%volume
 
     END SUBROUTINE volumeQuad

From e277fe6ddb8526ec2c1ae8fedccd4a777c178c0d Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sun, 30 Jun 2024 08:48:51 +0000
Subject: [PATCH 141/203] PI is no needed here

---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index df01782..7bae6b3 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -569,7 +569,7 @@ MODULE moduleMesh2DCyl
 
     !Compute element volume
     PURE SUBROUTINE volumeQuad(self)
-      USE moduleConstParam, ONLY: PI, PI8
+      USE moduleConstParam, ONLY: PI8
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(inout):: self

From 6b78ae373894f0c72d746f03f4637d6c2ef7d006 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Wed, 3 Jul 2024 22:04:28 +0200
Subject: [PATCH 142/203] Added an adhoc factor to correct injection

I think that the volume of the nodes is not being well calculated, maybe
we need a better volume calculation for this, using multiple points (as
it is done for K)
---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 | 29 ++++++++++++++++++----
 1 file changed, 24 insertions(+), 5 deletions(-)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 7bae6b3..90773e5 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -226,11 +226,11 @@ MODULE moduleMesh2DCyl
       REAL(8):: p1(1:2), p2(1:2)
 
       rnd = random()
-      IF (self%r(1) == 0.D0  .OR. &
-          self%r(2) == 0.D0) THEN
-        rnd = rnd**(1.D0/3.D0)
-
-      END IF
+      ! IF (self%r(1) == 0.D0  .OR. &
+      !     self%r(2) == 0.D0) THEN
+      !   rnd = rnd**(1.D0/3.D0)
+      !
+      ! END IF
 
       p1 = (/self%z(1), self%r(1) /)
       p2 = (/self%z(2), self%r(2) /)
@@ -578,6 +578,9 @@ MODULE moduleMesh2DCyl
       REAL(8):: detJ
       REAL(8):: fPsi(1:4)
       REAL(8):: dPsi(1:3, 1:4), pDer(1:3, 1:3)
+      REAL(8):: nodeR(1:3)
+      REAL(8), PARAMETER:: correction = 0.81D0 !TODO: No idea why this is needed, this needs more attention. Probably a better
+                                               !      calculation of the volume is needed.
 
       self%volume  = 0.D0
 
@@ -592,9 +595,25 @@ MODULE moduleMesh2DCyl
       self%volume  = r*detJ*PI8 !4*2*pi
       !Computes volume per node
       self%n1%v = self%n1%v + fPsi(1)*self%volume
+      nodeR = self%n1%getCoordinates()
+      if (nodeR(2) == 0.D0) then
+        self%n1%v = self%n1%v * correction
+      end if
       self%n2%v = self%n2%v + fPsi(2)*self%volume
+      nodeR = self%n2%getCoordinates()
+      if (nodeR(2) == 0.D0) then
+        self%n2%v = self%n2%v * correction
+      end if
       self%n3%v = self%n3%v + fPsi(3)*self%volume
+      nodeR = self%n3%getCoordinates()
+      if (nodeR(2) == 0.D0) then
+        self%n3%v = self%n3%v * correction
+      end if
       self%n4%v = self%n4%v + fPsi(4)*self%volume
+      nodeR = self%n4%getCoordinates()
+      if (nodeR(2) == 0.D0) then
+        self%n4%v = self%n4%v * correction
+      end if
 
     END SUBROUTINE volumeQuad
 

From b972120ed51689b9ef171f3fd2af8966d68ec81b Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Thu, 4 Jul 2024 10:56:13 +0200
Subject: [PATCH 143/203] Switching to variable particle weight

I have to change the injection of particles. Each edge will receive a
similar number of particles and their weight will change to have a
constant density based on the geometry.

Still testing.
---
 src/modules/common/moduleRandom.f90        |  4 +--
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 | 36 ++++++++--------------
 src/modules/moduleInject.f90               |  5 +--
 3 files changed, 18 insertions(+), 27 deletions(-)

diff --git a/src/modules/common/moduleRandom.f90 b/src/modules/common/moduleRandom.f90
index 0237de1..dacbf9c 100644
--- a/src/modules/common/moduleRandom.f90
+++ b/src/modules/common/moduleRandom.f90
@@ -40,10 +40,10 @@ MODULE moduleRandom
       INTEGER:: rnd
       REAL(8):: rnd01
 
-      rnd = 0.D0
+      rnd = 0
       CALL RANDOM_NUMBER(rnd01)
 
-      rnd = INT(REAL(b - a) * rnd01) + 1
+      rnd = NINT(REAL(b - a) * rnd01) + a
 
     END FUNCTION randomIntAB
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 90773e5..2d2d6c6 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -235,6 +235,7 @@ MODULE moduleMesh2DCyl
       p1 = (/self%z(1), self%r(1) /)
       p2 = (/self%z(2), self%r(2) /)
       r(1:2) = (1.D0 - rnd)*p1 + rnd*p2
+      r(2)   =  (self%r(2) + self%r(1)) * 0.5D0
       r(3)   =  0.D0
 
     END FUNCTION randPosEdge
@@ -578,9 +579,6 @@ MODULE moduleMesh2DCyl
       REAL(8):: detJ
       REAL(8):: fPsi(1:4)
       REAL(8):: dPsi(1:3, 1:4), pDer(1:3, 1:3)
-      REAL(8):: nodeR(1:3)
-      REAL(8), PARAMETER:: correction = 0.81D0 !TODO: No idea why this is needed, this needs more attention. Probably a better
-                                               !      calculation of the volume is needed.
 
       self%volume  = 0.D0
 
@@ -594,26 +592,18 @@ MODULE moduleMesh2DCyl
       !Computes total volume of the cell
       self%volume  = r*detJ*PI8 !4*2*pi
       !Computes volume per node
-      self%n1%v = self%n1%v + fPsi(1)*self%volume
-      nodeR = self%n1%getCoordinates()
-      if (nodeR(2) == 0.D0) then
-        self%n1%v = self%n1%v * correction
-      end if
-      self%n2%v = self%n2%v + fPsi(2)*self%volume
-      nodeR = self%n2%getCoordinates()
-      if (nodeR(2) == 0.D0) then
-        self%n2%v = self%n2%v * correction
-      end if
-      self%n3%v = self%n3%v + fPsi(3)*self%volume
-      nodeR = self%n3%getCoordinates()
-      if (nodeR(2) == 0.D0) then
-        self%n3%v = self%n3%v * correction
-      end if
-      self%n4%v = self%n4%v + fPsi(4)*self%volume
-      nodeR = self%n4%getCoordinates()
-      if (nodeR(2) == 0.D0) then
-        self%n4%v = self%n4%v * correction
-      end if
+      Xi = (/-5.D-1, -5.D-1, 0.D0/)
+      r = self%gatherF(Xi, 4, self%r)
+      self%n1%v = self%n1%v + fPsi(1)*r*detJ*PI8
+      Xi = (/ 5.D-1, -5.D-1, 0.D0/)
+      r = self%gatherF(Xi, 4, self%r)
+      self%n2%v = self%n2%v + fPsi(2)*r*detJ*PI8
+      Xi = (/ 5.D-1,  5.D-1, 0.D0/)
+      r = self%gatherF(Xi, 4, self%r)
+      self%n3%v = self%n3%v + fPsi(3)*r*detJ*PI8
+      Xi = (/-5.D-1,  5.D-1, 0.D0/)
+      r = self%gatherF(Xi, 4, self%r)
+      self%n4%v = self%n4%v + fPsi(4)*r*detJ*PI8
 
     END SUBROUTINE volumeQuad
 
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index fb01f75..57e3131 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -283,6 +283,7 @@ MODULE moduleInject
       USE moduleMesh
       USE moduleRandom
       USE moduleErrors
+      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(injectGeneric), INTENT(in):: self
@@ -312,12 +313,12 @@ MODULE moduleInject
 
       !$OMP DO
       DO n = nMin, nMax
-        randomX = randomWeighted(self%cumWeight, self%sumWeight)
+        randomX    =  random(1, self%nEdges)
         randomEdge => mesh%edges(self%edges(randomX))%obj
         !Random position in edge
         partInj(n)%r = randomEdge%randPos()
         !Assign weight to particle.
-        partInj(n)%weight = self%species%weight
+        partInj(n)%weight = self%species%weight * sqrt(partInj(n)%r(2) / (0.1D0*L_ref))
         !Volume associated to the edge:
         IF (ASSOCIATED(randomEdge%e1)) THEN
           partInj(n)%cell = randomEdge%e1%n

From 6b5ac16e4b0f0c6797c9ea47b1ec00f4c82c5eb4 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 6 Jul 2024 10:12:03 +0200
Subject: [PATCH 144/203] Still working on it

No uniform density yet...
---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 | 1 -
 src/modules/moduleInject.f90               | 2 +-
 2 files changed, 1 insertion(+), 2 deletions(-)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 2d2d6c6..544c8e1 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -235,7 +235,6 @@ MODULE moduleMesh2DCyl
       p1 = (/self%z(1), self%r(1) /)
       p2 = (/self%z(2), self%r(2) /)
       r(1:2) = (1.D0 - rnd)*p1 + rnd*p2
-      r(2)   =  (self%r(2) + self%r(1)) * 0.5D0
       r(3)   =  0.D0
 
     END FUNCTION randPosEdge
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 57e3131..2dba3de 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -318,7 +318,7 @@ MODULE moduleInject
         !Random position in edge
         partInj(n)%r = randomEdge%randPos()
         !Assign weight to particle.
-        partInj(n)%weight = self%species%weight * sqrt(partInj(n)%r(2) / (0.1D0*L_ref))
+        partInj(n)%weight = self%species%weight * sqrt(partInj(n)%r(2) / (0.1D0/L_ref))
         !Volume associated to the edge:
         IF (ASSOCIATED(randomEdge%e1)) THEN
           partInj(n)%cell = randomEdge%e1%n

From 626e970d8257f56641278e1b05999a145ff85d53 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 6 Jul 2024 19:14:44 +0200
Subject: [PATCH 145/203] Some progress

Fixed an issue with random integer numbers.
Cylindrical coordinates are not perfect yet:
  - Box (cylinder) with initial constant density loses particles at r =
    0
  - Injection density still low in r = 0
---
 src/modules/common/moduleRandom.f90                |  2 +-
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90         |  5 -----
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90      | 14 ++++++++++++++
 src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90  | 14 ++++++++++++++
 src/modules/moduleInject.f90                       |  4 ++--
 5 files changed, 31 insertions(+), 8 deletions(-)

diff --git a/src/modules/common/moduleRandom.f90 b/src/modules/common/moduleRandom.f90
index dacbf9c..ae5c548 100644
--- a/src/modules/common/moduleRandom.f90
+++ b/src/modules/common/moduleRandom.f90
@@ -43,7 +43,7 @@ MODULE moduleRandom
       rnd = 0
       CALL RANDOM_NUMBER(rnd01)
 
-      rnd = NINT(REAL(b - a) * rnd01) + a
+      rnd = a + FLOOR((b+1-a)*rnd01)
 
     END FUNCTION randomIntAB
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 544c8e1..426846d 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -226,11 +226,6 @@ MODULE moduleMesh2DCyl
       REAL(8):: p1(1:2), p2(1:2)
 
       rnd = random()
-      ! IF (self%r(1) == 0.D0  .OR. &
-      !     self%r(2) == 0.D0) THEN
-      !   rnd = rnd**(1.D0/3.D0)
-      !
-      ! END IF
 
       p1 = (/self%z(1), self%r(1) /)
       p2 = (/self%z(2), self%r(2) /)
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index 0df1289..84b8535 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -296,6 +296,20 @@ MODULE moduleMeshInputGmsh2
 
       CLOSE(10)
 
+      ! Adjust node volume at axis
+      SELECT CASE(self%geometry)
+      CASE("Cyl")
+        DO n  = 1, numNodes
+          r = self%nodes(n)%obj%getCoordinates()
+          IF (r(2) == 0.D0) THEN
+            self%nodes(n)%obj%v = self%nodes(n)%obj%v * 2.0D0!2.0D0/3.0D0
+
+          END IF
+
+        END DO
+
+      END SELECT
+
       !Call mesh connectivity
       CALL self%connectMesh
 
diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index 763517f..eb6af79 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -495,6 +495,20 @@ MODULE moduleMeshInputVTU
         END SELECT
 
       END DO
+
+      ! Adjust node volume at axis
+      SELECT CASE(self%geometry)
+      CASE("Cyl")
+        DO n  = 1, numNodes
+          r = self%nodes(n)%obj%getCoordinates()
+          IF (r(2) == 0.D0) THEN
+            self%nodes(n)%obj%v = self%nodes(n)%obj%v * 2.0D0!2.0D0/3.0D0
+
+          END IF
+
+        END DO
+
+      END SELECT
         
       !Call mesh connectivity
       CALL self%connectMesh
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 2dba3de..69a3dd6 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -313,12 +313,12 @@ MODULE moduleInject
 
       !$OMP DO
       DO n = nMin, nMax
-        randomX    =  random(1, self%nEdges)
+        randomX    =  randomWeighted(self%cumWeight, self%sumWeight)
         randomEdge => mesh%edges(self%edges(randomX))%obj
         !Random position in edge
         partInj(n)%r = randomEdge%randPos()
         !Assign weight to particle.
-        partInj(n)%weight = self%species%weight * sqrt(partInj(n)%r(2) / (0.1D0/L_ref))
+        partInj(n)%weight = self%species%weight
         !Volume associated to the edge:
         IF (ASSOCIATED(randomEdge%e1)) THEN
           partInj(n)%cell = randomEdge%e1%n

From 5bc064d0183097c83f57b2299c99a3449baebc6d Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 7 Jul 2024 11:53:56 +0200
Subject: [PATCH 146/203] Some parallel issues

Forgot to check Gmsh2 format with new changes.

Cartesian coordinates were not calculating things properly.
---
 src/modules/mesh/2DCart/moduleMesh2DCart.f90          | 3 ++-
 src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 | 2 +-
 2 files changed, 3 insertions(+), 2 deletions(-)

diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 7bc94ce..4bf1f32 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -556,6 +556,7 @@ MODULE moduleMesh2DCart
 
     !Compute element volume
     PURE SUBROUTINE volumeQuad(self)
+      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(meshCell2DCartQuad), INTENT(inout):: self
@@ -573,7 +574,7 @@ MODULE moduleMesh2DCart
       fPsi = self%fPsi(Xi, 4)
 
       !Compute total volume of the cell
-      self%volume  = detJ*4.D0
+      self%volume  = detJ*4.D0/L_ref
       !Compute volume per node
       self%n1%v = self%n1%v + fPsi(1)*self%volume
       self%n2%v = self%n2%v + fPsi(2)*self%volume
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index 84b8535..2c02358 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -299,7 +299,7 @@ MODULE moduleMeshInputGmsh2
       ! Adjust node volume at axis
       SELECT CASE(self%geometry)
       CASE("Cyl")
-        DO n  = 1, numNodes
+        DO n  = 1, self%numNodes
           r = self%nodes(n)%obj%getCoordinates()
           IF (r(2) == 0.D0) THEN
             self%nodes(n)%obj%v = self%nodes(n)%obj%v * 2.0D0!2.0D0/3.0D0

From 1f2ec8d82f3ee4fa70304b707fd7382e75ba4139 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 7 Jul 2024 14:37:34 +0200
Subject: [PATCH 147/203] New option for initial distribution of species

The number of particles per cell can be defined when giving an initial
distribution fora species. If not, the typical method of using the
species weight is used. This is particularly useful for cylindrical
coordinates in which very little particles might end up in the axis if a
constant weight is used.
---
 doc/user-manual/bibliography.bib.sav |  77 +++++++++++++++++++++++++++
 doc/user-manual/fpakc_UserManual.pdf | Bin 185817 -> 186028 bytes
 doc/user-manual/fpakc_UserManual.tex |  14 +++--
 src/modules/init/moduleInput.f90     |  14 +++--
 4 files changed, 97 insertions(+), 8 deletions(-)
 create mode 100644 doc/user-manual/bibliography.bib.sav

diff --git a/doc/user-manual/bibliography.bib.sav b/doc/user-manual/bibliography.bib.sav
new file mode 100644
index 0000000..b8b6483
--- /dev/null
+++ b/doc/user-manual/bibliography.bib.sav
@@ -0,0 +1,77 @@
+% Encoding: UTF-8
+
+@InProceedings{boris1970relativistic,
+  author    = {Boris, Jay P},
+  booktitle = {Proc. Fourth Conf. Num. Sim. Plasmas},
+  title     = {Relativistic plasma simulation-optimization of a hybrid code},
+  year      = {1970},
+  pages     = {3--67},
+}
+
+@article{higginson2020corrected,
+  title={A corrected method for Coulomb scattering in arbitrarily weighted particle-in-cell plasma simulations},
+  author={Higginson, Drew Pitney and Holod, Ihor and Link, Anthony},
+  journal={Journal of Computational Physics},
+  volume={413},
+  pages={109450},
+  year={2020},
+  publisher={Elsevier}
+}
+
+@Misc{gfortranURL,
+  author       = {GNU Project},
+  title        = {gfortran - the GNU Fortran compiler},
+  howpublished = {\url{https://gcc.gnu.org/wiki/GFortran}},
+}
+
+@Misc{ifortURL,
+  author       = {Intel\textsuperscript{\textregistered}},
+  title        = {Intel\textsuperscript{\textregistered} Fortran Compiler},
+  howpublished = {\url{https://software.intel.com/content/www/us/en/develop/tools/oneapi/components/fortran-compiler.html}},
+}
+
+@Misc{openblasURL,
+  title        = {OpenBLAS, an optimized BLAS library},
+  howpublished = {\url{https://www.openblas.net/}},
+}
+
+@Misc{jsonfortranURL,
+  title        = {JSON-Fortran},
+  howpublished = {\url{https://github.com/jacobwilliams/json-fortran}},
+}
+
+@Misc{jsonURL,
+  title        = {JSON, JavaScript Object Notation},
+  howpublished = {\url{https://www.json.org/json-en.html}},
+}
+
+@Misc{gmshURL,
+  author       = {Christophe Geuzaine and Jean-François Remacle},
+  title        = {Gmsh},
+  howpublished = {\url{https://gmsh.info/}},
+}
+
+@Article{welford1962note,
+  author    = {Welford, BP},
+  journal   = {Technometrics},
+  title     = {Note on a method for calculating corrected sums of squares and products},
+  year      = {1962},
+  number    = {3},
+  pages     = {419--420},
+  volume    = {4},
+  publisher = {Taylor \& Francis},
+}
+
+@Article{sherlock2008monte,
+  author    = {Sherlock, Mark},
+  journal   = {Journal of Computational Physics},
+  title     = {A Monte-Carlo method for Coulomb collisions in hybrid plasma models},
+  year      = {2008},
+  number    = {4},
+  pages     = {2286--2292},
+  volume    = {227},
+  groups    = {Particle-in-cell},
+  publisher = {Elsevier},
+}
+
+@Comment{jabref-meta: databaseType:bibtex;}
diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index daf42c3..fd48ed2 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -708,11 +708,15 @@ make
                                   \begin{itemize}
                                     \item \textbf{species}: Character.
                                                             Name of species as defined in the object \textbf{species}.
-                                    \item \textbf{file}:    Character.
-                                                            Output file from previous run used as an initial state for the species.
-                                                            The file format must be the same as in \textbf{geometry.meshType}
-                                                            Initial particles are assumed to have a Maxwellian distribution.
-                                                            File must be located at \textbf{output.path}.
+                                    \item \textbf{file}: Character.
+                                                         Output file from previous run used as an initial state for the species.
+                                                         The file format must be the same as in \textbf{geometry.meshType}
+                                                         Initial particles are assumed to have a Maxwellian distribution.
+                                                         File must be located at \textbf{output.path}.
+                                    \item \textbf{particlesPerCell}: Integer.
+                                                                     Optional.
+                                                                     Initial number of particles per cell.
+                                                                     If not, the number of particles per cell will be assigned based on the species weight and the cell volume.
                                   \end{itemize}
         \end{itemize}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 7a1b206..e30bf97 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -324,7 +324,8 @@ MODULE moduleInput
       REAL(8):: densityCen
       !Mean velocity and temperature at particle position
       REAL(8):: velocityXi(1:3), temperatureXi
-      INTEGER:: nNewPart = 0.D0
+      INTEGER:: nNewPart = 0
+      REAL(8):: weight = 0.D0
       CLASS(meshCell), POINTER:: cell
       TYPE(particle), POINTER:: partNew
       REAL(8):: vTh
@@ -343,6 +344,9 @@ MODULE moduleInput
           !Reads node values at the nodes
           filename = path // spFile
           CALL mesh%readInitial(filename, density, velocity, temperature)
+          !Check if initial number of particles is given
+          CALL config%get(object // '.particlesPerCell', nNewPart, found)
+
           !For each volume in the node, create corresponding particles
           DO e = 1, mesh%numCells
             !Scale variables
@@ -355,7 +359,11 @@ MODULE moduleInput
             densityCen = mesh%cells(e)%obj%gatherF((/ 0.D0, 0.D0, 0.D0 /), nNodes, sourceScalar)
 
             !Calculate number of particles
-            nNewPart = INT(densityCen * (mesh%cells(e)%obj%volume*Vol_ref) / species(sp)%obj%weight)
+            IF (.NOT. found) THEN
+              nNewPart = FLOOR(densityCen * (mesh%cells(e)%obj%volume*Vol_ref) / species(sp)%obj%weight)
+
+            END IF
+            weight = densityCen * (mesh%cells(e)%obj%volume*Vol_ref) / REAL(nNewPart)
 
             !Allocate new particles
             DO p = 1, nNewPart
@@ -392,7 +400,7 @@ MODULE moduleInput
 
               partNew%n_in   = .TRUE.
 
-              partNew%weight = species(sp)%obj%weight
+              partNew%weight = weight
 
               !Assign particle to temporal list of particles
               CALL partInitial%add(partNew)

From fa23f9481abfe946fb7cd9f6d4866550176733f5 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 7 Jul 2024 14:40:26 +0200
Subject: [PATCH 148/203] Issue with bibliography

Backup files are properly ignored now.
---
 doc/user-manual/.gitignore           |  1 +
 doc/user-manual/bibliography.bib.sav | 77 ----------------------------
 2 files changed, 1 insertion(+), 77 deletions(-)
 delete mode 100644 doc/user-manual/bibliography.bib.sav

diff --git a/doc/user-manual/.gitignore b/doc/user-manual/.gitignore
index b2ba4d5..a8475d7 100644
--- a/doc/user-manual/.gitignore
+++ b/doc/user-manual/.gitignore
@@ -6,6 +6,7 @@
 *.aux
 *.ps
 bibliography.bib.bak
+bibliography.bib.sav
 *.bbl
 *.blg
 *.out
diff --git a/doc/user-manual/bibliography.bib.sav b/doc/user-manual/bibliography.bib.sav
deleted file mode 100644
index b8b6483..0000000
--- a/doc/user-manual/bibliography.bib.sav
+++ /dev/null
@@ -1,77 +0,0 @@
-% Encoding: UTF-8
-
-@InProceedings{boris1970relativistic,
-  author    = {Boris, Jay P},
-  booktitle = {Proc. Fourth Conf. Num. Sim. Plasmas},
-  title     = {Relativistic plasma simulation-optimization of a hybrid code},
-  year      = {1970},
-  pages     = {3--67},
-}
-
-@article{higginson2020corrected,
-  title={A corrected method for Coulomb scattering in arbitrarily weighted particle-in-cell plasma simulations},
-  author={Higginson, Drew Pitney and Holod, Ihor and Link, Anthony},
-  journal={Journal of Computational Physics},
-  volume={413},
-  pages={109450},
-  year={2020},
-  publisher={Elsevier}
-}
-
-@Misc{gfortranURL,
-  author       = {GNU Project},
-  title        = {gfortran - the GNU Fortran compiler},
-  howpublished = {\url{https://gcc.gnu.org/wiki/GFortran}},
-}
-
-@Misc{ifortURL,
-  author       = {Intel\textsuperscript{\textregistered}},
-  title        = {Intel\textsuperscript{\textregistered} Fortran Compiler},
-  howpublished = {\url{https://software.intel.com/content/www/us/en/develop/tools/oneapi/components/fortran-compiler.html}},
-}
-
-@Misc{openblasURL,
-  title        = {OpenBLAS, an optimized BLAS library},
-  howpublished = {\url{https://www.openblas.net/}},
-}
-
-@Misc{jsonfortranURL,
-  title        = {JSON-Fortran},
-  howpublished = {\url{https://github.com/jacobwilliams/json-fortran}},
-}
-
-@Misc{jsonURL,
-  title        = {JSON, JavaScript Object Notation},
-  howpublished = {\url{https://www.json.org/json-en.html}},
-}
-
-@Misc{gmshURL,
-  author       = {Christophe Geuzaine and Jean-François Remacle},
-  title        = {Gmsh},
-  howpublished = {\url{https://gmsh.info/}},
-}
-
-@Article{welford1962note,
-  author    = {Welford, BP},
-  journal   = {Technometrics},
-  title     = {Note on a method for calculating corrected sums of squares and products},
-  year      = {1962},
-  number    = {3},
-  pages     = {419--420},
-  volume    = {4},
-  publisher = {Taylor \& Francis},
-}
-
-@Article{sherlock2008monte,
-  author    = {Sherlock, Mark},
-  journal   = {Journal of Computational Physics},
-  title     = {A Monte-Carlo method for Coulomb collisions in hybrid plasma models},
-  year      = {2008},
-  number    = {4},
-  pages     = {2286--2292},
-  volume    = {227},
-  groups    = {Particle-in-cell},
-  publisher = {Elsevier},
-}
-
-@Comment{jabref-meta: databaseType:bibtex;}

From b36f9c26152339aef154402ebabce74f4075d866 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Tue, 9 Jul 2024 17:49:42 +0200
Subject: [PATCH 149/203] Shifting towards constant number of particles per
 edge

So now each edge has the same number of particles and the weight of each
particle is calculated based on the surface of each edge compared to the
total one.

Only in 2DCyl, still to extend to other geometries.

Not perfect constant density, but the issue might be the node volume.
---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    | 27 ++++++++++---------
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 | 14 ----------
 .../mesh/inout/vtu/moduleMeshInputVTU.f90     | 26 +++++++++---------
 src/modules/mesh/moduleMesh.f90               |  2 ++
 src/modules/moduleInject.f90                  | 16 +++++------
 5 files changed, 36 insertions(+), 49 deletions(-)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 426846d..3f88902 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -144,6 +144,7 @@ MODULE moduleMesh2DCyl
       USE moduleSpecies
       USE moduleBoundary
       USE moduleErrors
+      USE moduleConstParam, ONLY: PI
       IMPLICIT NONE
 
       CLASS(meshEdge2DCyl), INTENT(out):: self
@@ -163,7 +164,15 @@ MODULE moduleMesh2DCyl
       r2 = self%n2%getCoordinates()
       self%z  = (/r1(1), r2(1)/)
       self%r  = (/r1(2), r2(2)/)
-      self%weight = DABS(self%r(2)**2 - self%r(1)**2)
+      !Edge surface
+      IF (self%z(2) /= self%z(1)) THEN
+        self%surface = ABS(self%r(2) + self%r(1))*ABS(self%z(2) - self%z(1))
+
+      ELSE
+        self%surface = ABS(self%r(2)**2 - self%r(1)**2)
+
+      END IF
+      self%surface = self%surface * PI
       !Normal vector
       self%normal = (/ -(self%r(2)-self%r(1)), &
                          self%z(2)-self%z(1) , &
@@ -586,18 +595,10 @@ MODULE moduleMesh2DCyl
       !Computes total volume of the cell
       self%volume  = r*detJ*PI8 !4*2*pi
       !Computes volume per node
-      Xi = (/-5.D-1, -5.D-1, 0.D0/)
-      r = self%gatherF(Xi, 4, self%r)
-      self%n1%v = self%n1%v + fPsi(1)*r*detJ*PI8
-      Xi = (/ 5.D-1, -5.D-1, 0.D0/)
-      r = self%gatherF(Xi, 4, self%r)
-      self%n2%v = self%n2%v + fPsi(2)*r*detJ*PI8
-      Xi = (/ 5.D-1,  5.D-1, 0.D0/)
-      r = self%gatherF(Xi, 4, self%r)
-      self%n3%v = self%n3%v + fPsi(3)*r*detJ*PI8
-      Xi = (/-5.D-1,  5.D-1, 0.D0/)
-      r = self%gatherF(Xi, 4, self%r)
-      self%n4%v = self%n4%v + fPsi(4)*r*detJ*PI8
+      self%n1%v = self%n1%v + fPsi(1)*self%volume
+      self%n2%v = self%n2%v + fPsi(2)*self%volume
+      self%n3%v = self%n3%v + fPsi(3)*self%volume
+      self%n4%v = self%n4%v + fPsi(4)*self%volume
 
     END SUBROUTINE volumeQuad
 
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index 2c02358..0df1289 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -296,20 +296,6 @@ MODULE moduleMeshInputGmsh2
 
       CLOSE(10)
 
-      ! Adjust node volume at axis
-      SELECT CASE(self%geometry)
-      CASE("Cyl")
-        DO n  = 1, self%numNodes
-          r = self%nodes(n)%obj%getCoordinates()
-          IF (r(2) == 0.D0) THEN
-            self%nodes(n)%obj%v = self%nodes(n)%obj%v * 2.0D0!2.0D0/3.0D0
-
-          END IF
-
-        END DO
-
-      END SELECT
-
       !Call mesh connectivity
       CALL self%connectMesh
 
diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index eb6af79..309ca5c 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -496,19 +496,19 @@ MODULE moduleMeshInputVTU
 
       END DO
 
-      ! Adjust node volume at axis
-      SELECT CASE(self%geometry)
-      CASE("Cyl")
-        DO n  = 1, numNodes
-          r = self%nodes(n)%obj%getCoordinates()
-          IF (r(2) == 0.D0) THEN
-            self%nodes(n)%obj%v = self%nodes(n)%obj%v * 2.0D0!2.0D0/3.0D0
-
-          END IF
-
-        END DO
-
-      END SELECT
+      ! ! Adjust node volume at axis
+      ! SELECT CASE(self%geometry)
+      ! CASE("Cyl")
+      !   DO n  = 1, numNodes
+      !     r = self%nodes(n)%obj%getCoordinates()
+      !     IF (r(2) == 0.D0) THEN
+      !       self%nodes(n)%obj%v = self%nodes(n)%obj%v * 2.0D0!2.0D0/3.0D0
+      !
+      !     END IF
+      !
+      !   END DO
+      !
+      ! END SELECT
         
       !Call mesh connectivity
       CALL self%connectMesh
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index e96ff2a..af1cd36 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -78,6 +78,8 @@ MODULE moduleMesh
     REAL(8):: normal(1:3)
     !Weight for random injection of particles
     REAL(8):: weight = 1.D0
+    ! Surface of edge
+    REAL(8):: surface = 0.D0
     !Pointer to boundary type
     TYPE(boundaryCont), POINTER:: boundary
     !Array of functions for boundary conditions
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 69a3dd6..1d4e2e7 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -63,6 +63,7 @@ MODULE moduleInject
     INTEGER, ALLOCATABLE:: edges(:) !Array with edges
     REAL(8), ALLOCATABLE:: cumWeight(:) !Array of cummulative probability
     REAL(8):: sumWeight
+    REAL(8):: surface ! Total surface of injection
     TYPE(velDistCont):: v(1:3) !Velocity distribution function in each direction
     CONTAINS
       PROCEDURE, PASS:: init         => initInject
@@ -164,15 +165,12 @@ MODULE moduleInject
 
       END DO
 
-      !Calculates cumulative probability
-      ALLOCATE(self%cumWeight(1:self%nEdges))
-      et = 1
-      self%cumWeight(1) = mesh%edges(self%edges(et))%obj%weight
-      DO et = 2, self%nEdges
-        self%cumWeight(et) = mesh%edges(self%edges(et))%obj%weight + self%cumWeight(et-1)
+      !Calculates total area
+      self%surface = 0.D0
+      DO et = 1, self%nEdges
+        self%surface = self%surface + mesh%edges(self%edges(et))%obj%surface
 
       END DO
-      self%sumWeight = self%cumWeight(self%nEdges)
 
     END SUBROUTINE initInject
 
@@ -313,12 +311,12 @@ MODULE moduleInject
 
       !$OMP DO
       DO n = nMin, nMax
-        randomX    =  randomWeighted(self%cumWeight, self%sumWeight)
+        randomX    =  random(1, self%nEdges)
         randomEdge => mesh%edges(self%edges(randomX))%obj
         !Random position in edge
         partInj(n)%r = randomEdge%randPos()
         !Assign weight to particle.
-        partInj(n)%weight = self%species%weight
+        partInj(n)%weight = self%species%weight * randomEdge%surface / self%surface
         !Volume associated to the edge:
         IF (ASSOCIATED(randomEdge%e1)) THEN
           partInj(n)%cell = randomEdge%e1%n

From 11831a973d86aacc0d8e44b01fd6ecc203300b1a Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Tue, 9 Jul 2024 21:25:30 +0200
Subject: [PATCH 150/203] Still not working

Trying to have a very simple volume per node assuming a rectangle and
the density at the axis it higher than it should (kinda like when using
the more accurate volume calculation).

This is still weird. I also suspect that the size of the first cell in
the axis will also affect this...
---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 | 20 +++++++++++++++-----
 1 file changed, 15 insertions(+), 5 deletions(-)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 3f88902..bac265c 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -582,6 +582,8 @@ MODULE moduleMesh2DCyl
       REAL(8):: detJ
       REAL(8):: fPsi(1:4)
       REAL(8):: dPsi(1:3, 1:4), pDer(1:3, 1:3)
+      REAL(8):: corrUp, corrDown
+      REAL(8):: dZ, r2, r1
 
       self%volume  = 0.D0
 
@@ -593,12 +595,20 @@ MODULE moduleMesh2DCyl
       fPsi = self%fPsi(Xi, 4)
       r = DOT_PRODUCT(fPsi,self%r)
       !Computes total volume of the cell
-      self%volume  = r*detJ*PI8 !4*2*pi
+      self%volume  = r*detJ*PI8 !2*pi * 4 (weight of 1 point 2D-Gaussian integral)
       !Computes volume per node
-      self%n1%v = self%n1%v + fPsi(1)*self%volume
-      self%n2%v = self%n2%v + fPsi(2)*self%volume
-      self%n3%v = self%n3%v + fPsi(3)*self%volume
-      self%n4%v = self%n4%v + fPsi(4)*self%volume
+      ! self%n1%v = self%n1%v + fPsi(1)*self%volume
+      ! self%n2%v = self%n2%v + fPsi(2)*self%volume
+      ! self%n3%v = self%n3%v + fPsi(3)*self%volume
+      ! self%n4%v = self%n4%v + fPsi(4)*self%volume
+      dZ = MAXVAL(self%z) - MIN(self%z)
+      r2 = MAXVAL(self%r)
+      r1 = MINVAL(self%r)
+
+      self%n1%v = self%n1%v + dZ/2.D0 * PI * (      r2**2 - 3.0D0*r1**2 + 2.0D0*r2*r1)*0.25D0
+      self%n2%v = self%n2%v + dZ/2.D0 * PI * (      r2**2 - 3.0D0*r1**2 + 2.0D0*r2*r1)*0.25D0
+      self%n3%v = self%n3%v + dZ/2.D0 * PI * (3.0D0*r2**2 -       r1**2 - 2.0D0*r2*r1)*0.25D0
+      self%n4%v = self%n4%v + dZ/2.D0 * PI * (3.0D0*r2**2 -       r1**2 - 2.0D0*r2*r1)*0.25D0
 
     END SUBROUTINE volumeQuad
 

From 667a2ecd93c8e0263252cca4aa3457ce95bfbe3e Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Tue, 9 Jul 2024 21:57:32 +0200
Subject: [PATCH 151/203] So, no idea...

Basically things do not work. I've added a correction to the node volume
in the axis which gives okays results but still this is not perfect. I
need to find a better way to do things.

Also, I've noticed that the density changes with the size of the cells,
which should not happen! I'vw to check this issue.
---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90    | 24 ++++++++---------
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 | 14 ++++++++++
 .../mesh/inout/vtu/moduleMeshInputVTU.f90     | 26 +++++++++----------
 3 files changed, 39 insertions(+), 25 deletions(-)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index bac265c..166ae84 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -597,18 +597,18 @@ MODULE moduleMesh2DCyl
       !Computes total volume of the cell
       self%volume  = r*detJ*PI8 !2*pi * 4 (weight of 1 point 2D-Gaussian integral)
       !Computes volume per node
-      ! self%n1%v = self%n1%v + fPsi(1)*self%volume
-      ! self%n2%v = self%n2%v + fPsi(2)*self%volume
-      ! self%n3%v = self%n3%v + fPsi(3)*self%volume
-      ! self%n4%v = self%n4%v + fPsi(4)*self%volume
-      dZ = MAXVAL(self%z) - MIN(self%z)
-      r2 = MAXVAL(self%r)
-      r1 = MINVAL(self%r)
-
-      self%n1%v = self%n1%v + dZ/2.D0 * PI * (      r2**2 - 3.0D0*r1**2 + 2.0D0*r2*r1)*0.25D0
-      self%n2%v = self%n2%v + dZ/2.D0 * PI * (      r2**2 - 3.0D0*r1**2 + 2.0D0*r2*r1)*0.25D0
-      self%n3%v = self%n3%v + dZ/2.D0 * PI * (3.0D0*r2**2 -       r1**2 - 2.0D0*r2*r1)*0.25D0
-      self%n4%v = self%n4%v + dZ/2.D0 * PI * (3.0D0*r2**2 -       r1**2 - 2.0D0*r2*r1)*0.25D0
+      Xi = (/-5.D-1, -5.D-1, 0.D0/)
+      r = self%gatherF(Xi, 4, self%r)
+      self%n1%v = self%n1%v + fPsi(1)*r*detJ*PI8
+      Xi = (/ 5.D-1, -5.D-1, 0.D0/)
+      r = self%gatherF(Xi, 4, self%r)
+      self%n2%v = self%n2%v + fPsi(2)*r*detJ*PI8
+      Xi = (/ 5.D-1,  5.D-1, 0.D0/)
+      r = self%gatherF(Xi, 4, self%r)
+      self%n3%v = self%n3%v + fPsi(3)*r*detJ*PI8
+      Xi = (/-5.D-1,  5.D-1, 0.D0/)
+      r = self%gatherF(Xi, 4, self%r)
+      self%n4%v = self%n4%v + fPsi(4)*r*detJ*PI8
 
     END SUBROUTINE volumeQuad
 
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index 0df1289..11c3b13 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -296,6 +296,20 @@ MODULE moduleMeshInputGmsh2
 
       CLOSE(10)
 
+      ! Adjust node volume at axis
+      SELECT CASE(self%geometry)
+      CASE("Cyl")
+        DO n  = 1, self%numNodes
+          r = self%nodes(n)%obj%getCoordinates()
+          IF (r(2) == 0.D0) THEN
+            self%nodes(n)%obj%v = self%nodes(n)%obj%v * 3.0D0/2.0D0
+
+          END IF
+
+        END DO
+
+      END SELECT
+        
       !Call mesh connectivity
       CALL self%connectMesh
 
diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index 309ca5c..ff0490a 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -496,19 +496,19 @@ MODULE moduleMeshInputVTU
 
       END DO
 
-      ! ! Adjust node volume at axis
-      ! SELECT CASE(self%geometry)
-      ! CASE("Cyl")
-      !   DO n  = 1, numNodes
-      !     r = self%nodes(n)%obj%getCoordinates()
-      !     IF (r(2) == 0.D0) THEN
-      !       self%nodes(n)%obj%v = self%nodes(n)%obj%v * 2.0D0!2.0D0/3.0D0
-      !
-      !     END IF
-      !
-      !   END DO
-      !
-      ! END SELECT
+      ! Adjust node volume at axis
+      SELECT CASE(self%geometry)
+      CASE("Cyl")
+        DO n  = 1, numNodes
+          r = self%nodes(n)%obj%getCoordinates()
+          IF (r(2) == 0.D0) THEN
+            self%nodes(n)%obj%v = self%nodes(n)%obj%v * 3.0D0/2.0D0
+
+          END IF
+
+        END DO
+
+      END SELECT
         
       !Call mesh connectivity
       CALL self%connectMesh

From d608639e77a17511111ac326949f5de28044c864 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Tue, 9 Jul 2024 22:05:16 +0200
Subject: [PATCH 152/203] Forgot to save

Sorry.
---
 src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index ff0490a..61802fb 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -499,7 +499,7 @@ MODULE moduleMeshInputVTU
       ! Adjust node volume at axis
       SELECT CASE(self%geometry)
       CASE("Cyl")
-        DO n  = 1, numNodes
+        DO n  = 1, self%numNodes
           r = self%nodes(n)%obj%getCoordinates()
           IF (r(2) == 0.D0) THEN
             self%nodes(n)%obj%v = self%nodes(n)%obj%v * 3.0D0/2.0D0

From cb92462f3683408f218bac22d7f6b50cb72bf63d Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Wed, 10 Jul 2024 21:55:45 +0200
Subject: [PATCH 153/203] New injection based on surface to all geometries.

WARNING: 3DCart still not working (too tired to calculate things and I'm
    not ussing it...)
---
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 | 3 +++
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   | 3 +++
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 3 ++-
 src/modules/mesh/3DCart/moduleMesh3DCart.f90 | 3 +++
 4 files changed, 11 insertions(+), 1 deletion(-)

diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index 269f157..f400ab0 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -104,6 +104,7 @@ MODULE moduleMesh1DCart
       USE moduleSpecies
       USE moduleBoundary
       USE moduleErrors
+      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(meshEdge1DCart), INTENT(out):: self
@@ -122,6 +123,8 @@ MODULE moduleMesh1DCart
 
       self%x = r1(1)
 
+      self%surface = 1.D0 / L_ref**2
+
       self%normal = (/ 1.D0, 0.D0, 0.D0 /)
 
       !Boundary index
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index d998267..fd617bd 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -104,6 +104,7 @@ MODULE moduleMesh1DRad
       USE moduleSpecies
       USE moduleBoundary
       USE moduleErrors
+      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(meshEdge1DRad), INTENT(out):: self
@@ -122,6 +123,8 @@ MODULE moduleMesh1DRad
 
       self%r = r1(1)
 
+      self%surface = 1.D0 / L_ref**2
+
       self%normal = (/ 1.D0, 0.D0, 0.D0 /)
 
       !Boundary index
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 4bf1f32..dbc8b25 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -144,6 +144,7 @@ MODULE moduleMesh2DCart
       USE moduleSpecies
       USE moduleBoundary
       USE moduleErrors
+      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(meshEdge2DCart), INTENT(out):: self
@@ -163,7 +164,7 @@ MODULE moduleMesh2DCart
       r2 = self%n2%getCoordinates()
       self%x  = (/r1(1), r2(1)/)
       self%y  = (/r1(2), r2(2)/)
-      self%weight = 1.D0
+      self%surface = SQRT((self%x(2) - self%x(1))**2 + (self%y(2) - self%y(1))**2) / L_ref
       !Normal vector
       self%normal = (/ -(self%y(2)-self%y(1)), &
                          self%x(2)-self%x(1) , &
diff --git a/src/modules/mesh/3DCart/moduleMesh3DCart.f90 b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
index c451689..8170df7 100644
--- a/src/modules/mesh/3DCart/moduleMesh3DCart.f90
+++ b/src/modules/mesh/3DCart/moduleMesh3DCart.f90
@@ -109,6 +109,7 @@ MODULE moduleMesh3DCart
       USE moduleBoundary
       USE moduleErrors
       USE moduleMath
+      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(meshEdge3DCartTria), INTENT(out):: self
@@ -142,6 +143,8 @@ MODULE moduleMesh3DCart
       self%normal = crossProduct(vec1, vec2)
       self%normal = normalize(self%normal)
 
+      self%surface = 1.D0/L_ref**2 !TODO: FIX THIS WHEN MOVING TO 3D
+
       !Boundary index
       self%boundary => boundary(bt)
       ALLOCATE(self%fBoundary(1:nSpecies))

From 9d961bb85fafba67008a1241eb467b7d800703ad Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Wed, 10 Jul 2024 21:57:22 +0200
Subject: [PATCH 154/203] Removing weight from edges

This parameter is no longer needed.

Also removing the cumulative sum of weights from the injection.
---
 src/modules/mesh/moduleMesh.f90 | 2 --
 src/modules/moduleInject.f90    | 2 --
 2 files changed, 4 deletions(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index af1cd36..a2eaa5f 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -76,8 +76,6 @@ MODULE moduleMesh
     CLASS(meshCell), POINTER:: eColl => NULL()
     !Normal vector
     REAL(8):: normal(1:3)
-    !Weight for random injection of particles
-    REAL(8):: weight = 1.D0
     ! Surface of edge
     REAL(8):: surface = 0.D0
     !Pointer to boundary type
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 1d4e2e7..529b687 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -61,8 +61,6 @@ MODULE moduleInject
     CLASS(speciesGeneric), POINTER:: species !Species of injection
     INTEGER:: nEdges
     INTEGER, ALLOCATABLE:: edges(:) !Array with edges
-    REAL(8), ALLOCATABLE:: cumWeight(:) !Array of cummulative probability
-    REAL(8):: sumWeight
     REAL(8):: surface ! Total surface of injection
     TYPE(velDistCont):: v(1:3) !Velocity distribution function in each direction
     CONTAINS

From e23fc2fc2cf7d992cbc7af276bde82977462f400 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 11 Jul 2024 11:21:38 +0200
Subject: [PATCH 155/203] Small progress

I made some small changes to how things are calculated.

I have also discovered that the issue with different density when
changing injection is not related with the node volume but with the way
injection is carried out. When loading particles from a file, all
provide the same density regardless the cell (node) volume.

I am doing testing in 2DCart as it is easier to set up.
---
 src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90 | 2 +-
 src/modules/mesh/moduleMesh.f90                    | 8 +++++---
 2 files changed, 6 insertions(+), 4 deletions(-)

diff --git a/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
index 6286cfc..8637b7e 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
@@ -209,7 +209,7 @@ MODULE moduleMeshOutputVTU
       WRITE(fileID,"(8X,A)") '<CellData>'
       !Electric field
       WRITE(fileID,"(10X,A, A, A)") '<DataArray type="Float64" Name="Electric Field (V m^-1)" NumberOfComponents="3">'
-      WRITE(fileID, "(6(ES20.6E3))") (self%cells(n)%obj%gatherElectricField(Xi)*EF_ref, n = 1, self%numCells)
+      WRITE(fileID,"(6(ES20.6E3))") (self%cells(n)%obj%gatherElectricField(Xi)*EF_ref, n = 1, self%numCells)
       WRITE(fileID,"(10X,A)") '</DataArray>'
       WRITE(fileID,"(8X,A)") '</CellData>'
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index a2eaa5f..7390bca 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -613,6 +613,7 @@ MODULE moduleMesh
       INTEGER:: sp
       INTEGER:: i
       CLASS(meshNode), POINTER:: node
+      REAL(8):: pFraction !Particle fraction
 
       cellNodes = self%getNodes(nNodes)
       fPsi = self%fPsi(part%Xi, nNodes)
@@ -623,10 +624,11 @@ MODULE moduleMesh
 
       DO i = 1, nNodes
         node => mesh%nodes(cellNodes(i))%obj
+        pFraction = fPsi(i)*part%weight
         CALL OMP_SET_LOCK(node%lock)
-        node%output(sp)%den          = node%output(sp)%den          + part%weight*fPsi(i)
-        node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + part%weight*fPsi(i)*part%v(:)
-        node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + part%weight*fPsi(i)*tensorS
+        node%output(sp)%den          = node%output(sp)%den          + pFraction
+        node%output(sp)%mom(:)       = node%output(sp)%mom(:)       + pFraction*part%v(:)
+        node%output(sp)%tensorS(:,:) = node%output(sp)%tensorS(:,:) + pFraction*tensorS
         CALL OMP_UNSET_LOCK(node%lock)
 
       END DO

From 96c563c1462c048e4ddf96ba73b142ab00dd70ff Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 11 Jul 2024 14:39:56 +0200
Subject: [PATCH 156/203] Finally, some progress

I rewrote how particles are injected. Now the particles per edge and its
weight are calculated in the initialization. There is the possibility
for the user to select the particles per edge.

TODO: Write documentation for new feature.
TODO: Test in 2DCyl
---
 src/modules/init/moduleInput.f90 |   5 +-
 src/modules/moduleInject.f90     | 183 +++++++++++++++++++------------
 2 files changed, 114 insertions(+), 74 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index e30bf97..bd59e32 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -1236,6 +1236,7 @@ MODULE moduleInput
       REAL(8):: flow
       CHARACTER(:), ALLOCATABLE:: units
       INTEGER:: physicalSurface
+      INTEGER:: particlesPerEdge
       INTEGER:: sp
 
       CALL config%info('inject', found, n_children = nInject)
@@ -1260,8 +1261,10 @@ MODULE moduleInput
         CALL config%get(object // '.flow',            flow,            found)
         CALL config%get(object // '.units',           units,           found)
         CALL config%get(object // '.physicalSurface', physicalSurface, found)
+        particlesPerEdge = 0
+        CALL config%get(object // '.particlesPerEdge', particlesPerEdge, found)
 
-        CALL inject(i)%init(i, v, normal, T, flow, units, sp, physicalSurface)
+        CALL inject(i)%init(i, v, normal, T, flow, units, sp, physicalSurface, particlesPerEdge)
 
         CALL readVelDistr(config, inject(i), object)
         
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 529b687..59748eb 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -61,6 +61,8 @@ MODULE moduleInject
     CLASS(speciesGeneric), POINTER:: species !Species of injection
     INTEGER:: nEdges
     INTEGER, ALLOCATABLE:: edges(:) !Array with edges
+    INTEGER, ALLOCATABLE:: particlesPerEdge(:) ! Particles per edge
+    REAL(8), ALLOCATABLE:: weightPerEdge(:) ! Weight per edge
     REAL(8):: surface ! Total surface of injection
     TYPE(velDistCont):: v(1:3) !Velocity distribution function in each direction
     CONTAINS
@@ -74,7 +76,7 @@ MODULE moduleInject
 
   CONTAINS
     !Initialize an injection of particles
-    SUBROUTINE initInject(self, i, v, n, T, flow, units, sp, physicalSurface)
+    SUBROUTINE initInject(self, i, v, n, T, flow, units, sp, physicalSurface, particlesPerEdge)
       USE moduleMesh
       USE moduleRefParam
       USE moduleConstParam
@@ -86,52 +88,28 @@ MODULE moduleInject
       CLASS(injectGeneric), INTENT(inout):: self
       INTEGER, INTENT(in):: i
       REAL(8), INTENT(in):: v, n(1:3), T(1:3)
-      INTEGER, INTENT(in):: sp, physicalSurface
+      INTEGER, INTENT(in):: sp, physicalSurface, particlesPerEdge
       REAL(8):: tauInject
       REAL(8), INTENT(in):: flow
       CHARACTER(:), ALLOCATABLE, INTENT(in):: units
       INTEGER:: e, et
       INTEGER:: phSurface(1:mesh%numEdges)
       INTEGER:: nVolColl
+      REAL(8):: fluxPerStep = 0.D0
 
-      self%id         =  i
-      self%vMod       =  v / v_ref
-      self%n          =  n / NORM2(n)
-      self%T          =  T / T_ref
-      self%species    => species(sp)%obj
-      tauInject = tau(self%species%n)
-      SELECT CASE(units)
-      CASE ("sccm")
-        !Standard cubic centimeter per minute
-        self%nParticles = INT(flow*sccm2atomPerS*tauInject*ti_ref/species(sp)%obj%weight)
-
-      CASE ("A")
-        !Input current in Ampers
-        self%nParticles = INT(flow*tauInject*ti_ref/(qe*species(sp)%obj%weight))
-
-      CASE ("Am2")
-        !Input current in Ampers per square meter
-        self%nParticles = INT(flow*tauInject*ti_ref*L_ref**2/(qe*species(sp)%obj%weight))
-
-      CASE ("part/s")
-        !Input current in Ampers
-        self%nParticles = INT(flow*tauInject*ti_ref/species(sp)%obj%weight)
-
-      CASE DEFAULT
-        CALL criticalError("No support for units: " // units, 'initInject')
-        
-      END SELECT
-      !Scale particles for different species steps
-      IF (self%nParticles == 0) CALL criticalError("The number of particles for inject is 0.", 'initInject')
-
+      self%id      =  i
+      self%vMod    =  v / v_ref
+      self%n       =  n / NORM2(n)
+      self%T       =  T / T_ref
       !Gets the edge elements from which particles are injected
       DO e = 1, mesh%numEdges
         phSurface(e) = mesh%edges(e)%obj%physicalSurface
 
       END DO
-
       self%nEdges = COUNT(phSurface == physicalSurface)
-      ALLOCATE(inject(i)%edges(1:self%nEdges))
+      ALLOCATE(self%edges(1:self%nEdges))
+      ALLOCATE(self%particlesPerEdge(1:self%nEdges))
+      ALLOCATE(self%weightPerEdge(1:self%nEdges))
       et = 0
       DO e=1, mesh%numEdges
         IF (mesh%edges(e)%obj%physicalSurface == physicalSurface) THEN
@@ -170,6 +148,60 @@ MODULE moduleInject
 
       END DO
 
+      ! Information about species and flux
+      self%species => species(sp)%obj
+      tauInject    = tau(self%species%n)
+      SELECT CASE(units)
+      CASE ("sccm")
+        !Standard cubic centimeter per minute
+        fluxPerStep = flow*sccm2atomPerS*tauInject*ti_ref
+
+      CASE ("A")
+        !Current in Ampers
+        fluxPerStep = flow*tauInject*ti_ref/qe
+
+      CASE ("Am2")
+        !Input current in Ampers per square meter
+        fluxPerStep = flow*tauInject*ti_ref*self%surface*L_ref**2/qe
+
+      CASE ("part/s")
+        !Input current in Ampers
+        fluxPerStep = flow*tauInject*ti_ref
+
+      CASE DEFAULT
+        CALL criticalError("No support for units: " // units, 'initInject')
+
+      END SELECT
+      fluxPerStep = fluxPerStep / self%surface
+
+      !Assign particles per edge
+      IF (particlesPerEdge > 0) THEN
+        ! Particles per edge defined by the user
+        self%particlesPerEdge = particlesPerEdge
+        DO et = 1, self%nEdges
+          self%weightPerEdge(et) = fluxPerStep*mesh%edges(self%edges(et))%obj%surface / REAL(particlesPerEdge)
+
+        END DO
+
+      ELSE
+        ! No particles assigned per edge, use the species weight
+        self%weightPerEdge = self%species%weight
+        DO et = 1, self%nEdges
+          self%particlesPerEdge(et) = FLOOR(fluxPerStep*mesh%edges(self%edges(et))%obj%surface /self%species%weight)
+
+        END DO
+
+      END IF
+
+      print *, self%particlesPerEdge
+      print *, self%weightPerEdge
+
+      self%nParticles = SUM(self%particlesPerEdge)
+      print *, self%nParticles
+
+      !Scale particles for different species steps
+      IF (self%nParticles == 0) CALL criticalError("The number of particles for inject is 0.", 'initInject')
+
     END SUBROUTINE initInject
 
     !Injection of particles
@@ -285,9 +317,10 @@ MODULE moduleInject
       CLASS(injectGeneric), INTENT(in):: self
       INTEGER:: randomX
       INTEGER, SAVE:: nMin, nMax !Min and Max index in partInj array
-      INTEGER:: i
+      INTEGER:: i, e
       INTEGER:: n, sp
       CLASS(meshEdge), POINTER:: randomEdge
+      INTEGER:: particlesPerEdge
       REAL(8):: direction(1:3)
 
       !Insert particles
@@ -300,58 +333,62 @@ MODULE moduleInject
         END IF
 
       END DO
-
       nMin = nMin + 1
-      nMax = nMin + self%nParticles - 1
-      !Particle is considered to be outside the domain
-      partInj(nMin:nMax)%n_in = .FALSE.
       !$OMP END SINGLE
 
       !$OMP DO
-      DO n = nMin, nMax
-        randomX    =  random(1, self%nEdges)
-        randomEdge => mesh%edges(self%edges(randomX))%obj
-        !Random position in edge
-        partInj(n)%r = randomEdge%randPos()
-        !Assign weight to particle.
-        partInj(n)%weight = self%species%weight * randomEdge%surface / self%surface
-        !Volume associated to the edge:
-        IF (ASSOCIATED(randomEdge%e1)) THEN
-          partInj(n)%cell = randomEdge%e1%n
+      DO e = 1, self%nEdges
+        ! Select edge for injection
+        randomEdge => mesh%edges(self%edges(e))%obj
+        ! Inject particles in edge
+        DO i = 1, self%particlesPerEdge(e)
+          ! Index in the global partInj array
+          n = nMin - 1 + SUM(self%particlesPerEdge(1:e-1)) + i
+          !Particle is considered to be outside the domain
+          partInj(n)%n_in = .FALSE.
+          !Random position in edge
+          partInj(n)%r = randomEdge%randPos()
+          !Assign weight to particle.
+          partInj(n)%weight = self%weightPerEdge(e)
+          !Volume associated to the edge:
+          IF (ASSOCIATED(randomEdge%e1)) THEN
+            partInj(n)%cell = randomEdge%e1%n
 
-        ELSEIF (ASSOCIATED(randomEdge%e2)) THEN
-          partInj(n)%cell = randomEdge%e2%n
+          ELSEIF (ASSOCIATED(randomEdge%e2)) THEN
+            partInj(n)%cell = randomEdge%e2%n
 
-        ELSE
-          CALL criticalError("No Volume associated to edge", 'addParticles') 
+          ELSE
+            CALL criticalError("No Volume associated to edge", 'addParticles')
 
-        END IF
-        partInj(n)%cellColl = randomEdge%eColl%n
-        sp = self%species%n
+          END IF
+          partInj(n)%cellColl = randomEdge%eColl%n
+          sp = self%species%n
 
-        !Assign particle type
-        partInj(n)%species => self%species
+          !Assign particle type
+          partInj(n)%species => self%species
 
-        direction = self%n
+          direction = self%n
 
-        partInj(n)%v = 0.D0
+          partInj(n)%v = 0.D0
 
-        partInj(n)%v = self%vMod*direction +  (/ self%v(1)%obj%randomVel(), &
-                                                 self%v(2)%obj%randomVel(), &
-                                                 self%v(3)%obj%randomVel() /)
+          partInj(n)%v = self%vMod*direction +  (/ self%v(1)%obj%randomVel(), &
+                                                   self%v(2)%obj%randomVel(), &
+                                                   self%v(3)%obj%randomVel() /)
 
-        !If velocity is not in the right direction, invert it
-        IF (DOT_PRODUCT(direction, partInj(n)%v) < 0.D0) THEN
-          partInj(n)%v = - partInj(n)%v
+          !If velocity is not in the right direction, invert it
+          IF (DOT_PRODUCT(direction, partInj(n)%v) < 0.D0) THEN
+            partInj(n)%v = - partInj(n)%v
 
-        END IF
+          END IF
 
-        !Obtain natural coordinates of particle in cell
-        partInj(n)%Xi = mesh%cells(partInj(n)%cell)%obj%phy2log(partInj(n)%r)
-        !Push new particle with the minimum time step
-        CALL solver%pusher(sp)%pushParticle(partInj(n), tau(sp))
-        !Assign cell to new particle
-        CALL solver%updateParticleCell(partInj(n))
+          !Obtain natural coordinates of particle in cell
+          partInj(n)%Xi = mesh%cells(partInj(n)%cell)%obj%phy2log(partInj(n)%r)
+          !Push new particle with the minimum time step
+          CALL solver%pusher(sp)%pushParticle(partInj(n), tau(sp))
+          !Assign cell to new particle
+          CALL solver%updateParticleCell(partInj(n))
+
+        END DO
 
       END DO
       !$OMP END DO

From 6d62807fb43466048a1f63996ecfd3e77bb51478 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 11 Jul 2024 14:50:14 +0200
Subject: [PATCH 157/203] Remove testing 'print' statements

2DCyl still seems to have some problems but waiting for simulation.
---
 src/modules/moduleInject.f90 | 4 ----
 1 file changed, 4 deletions(-)

diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 59748eb..93302d9 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -193,11 +193,7 @@ MODULE moduleInject
 
       END IF
 
-      print *, self%particlesPerEdge
-      print *, self%weightPerEdge
-
       self%nParticles = SUM(self%particlesPerEdge)
-      print *, self%nParticles
 
       !Scale particles for different species steps
       IF (self%nParticles == 0) CALL criticalError("The number of particles for inject is 0.", 'initInject')

From 03f3b81811359af69f312b1ea47b1ec56beff861 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 11 Jul 2024 15:31:01 +0200
Subject: [PATCH 158/203] Manual updated

The manual has been modified to account for the new particlePerEdge
option and to indicate that now when the flux is giving by a flux like
in the Am2 units, the real surface of the inject is used to scale it.
---
 doc/user-manual/fpakc_UserManual.pdf | Bin 186028 -> 186195 bytes
 doc/user-manual/fpakc_UserManual.tex |   7 ++++++-
 2 files changed, 6 insertions(+), 1 deletion(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index 37d80141e4c7e64c2cb808e7e072b95019a502ae..ef1494ac62b3a07c882225d34ac2998d565ae727 100644
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index fd48ed2..13be4cd 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -611,7 +611,7 @@ make
                                 \begin{itemize}
                                   \item \textbf{A}: Ampere.
                                   \item \textbf{Am2}: Ampere per square meter.
-                                                      This value will be multiplied by the square of the reference length to convert to A, it will not consider the surface area of injection.
+                                                      This value will be multiplied by the surface of injection.
                                   \item \textbf{sccm}: Standard cubic centimetre.
                                   \item \textbf{part/s}: Particles (real) per second.
                                 \end{itemize}
@@ -638,6 +638,11 @@ make
                             Temperature in each direction.
           \item \textbf{physicalSurface}: Integer.
                                           Identification of the edge in the mesh file.
+          \item \textbf{particlesPerEdge}: Integer.
+                                           Optional.
+                                           Number of particles to be injected by each edge in the numerical domain.
+                                           The weight of the particles for each edge will modified by the surface of the edge to ensure the right flux is injected.
+                                           If no value is provided, the number of particles to inject per edge will be calculated with the species weight and the surface of the edge respect to the total one.
         \end{itemize}        
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
       \subsection{reference}

From d710cc5e6631353bbbb34df41b48bdb3e4dc0cb0 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 11 Jul 2024 15:52:13 +0200
Subject: [PATCH 159/203] Probes fixed!

This should've been commited in another branch, but I am taking
advantage of this to clean up the code a bit.
---
 src/modules/moduleProbe.f90 | 26 +++++++++++++-------------
 1 file changed, 13 insertions(+), 13 deletions(-)

diff --git a/src/modules/moduleProbe.f90 b/src/modules/moduleProbe.f90
index c7d3cf5..c29eeda 100644
--- a/src/modules/moduleProbe.f90
+++ b/src/modules/moduleProbe.f90
@@ -101,7 +101,7 @@ MODULE moduleProbe
       
       !Maximum radius
       !TODO: Make this an input parameter
-      self%maxR = 1.D0
+      self%maxR = 1.D-2/L_ref
 
       !Init the probe lock
       CALL OMP_INIT_LOCK(self%lock)
@@ -148,7 +148,7 @@ MODULE moduleProbe
         deltaR = NORM2(self%r - part%r)
 
         !Only include particle if it is inside the maximum radius
-        IF (deltaR < self%maxR) THEN
+        ! IF (deltaR < self%maxR) THEN
           !find lower index for all dimensions
           CALL self%findLowerIndex(part%v, i, j, k, inside)
 
@@ -162,28 +162,28 @@ MODULE moduleProbe
             fk  = self%vk(k+1) - part%v(3)
             fk1 = part%v(3)    - self%vk(k)
 
-            ! weight = part%weight * DEXP(deltaR/self%maxR)
-            weight = part%weight
+            weight = part%weight * DEXP(-deltaR/self%maxR)
+            ! weight = part%weight
 
             !Lock the probe
             CALL OMP_SET_LOCK(self%lock)
             
             !Assign particle weight to distribution function
-            self%f(i  , j  , k  ) = fi  * fj  * fk  * weight
-            self%f(i+1, j  , k  ) = fi1 * fj  * fk  * weight
-            self%f(i  , j+1, k  ) = fi  * fj1 * fk  * weight
-            self%f(i+1, j+1, k  ) = fi1 * fj1 * fk  * weight
-            self%f(i  , j  , k+1) = fi  * fj  * fk1 * weight
-            self%f(i+1, j  , k+1) = fi1 * fj  * fk1 * weight
-            self%f(i  , j+1, k+1) = fi  * fj1 * fk1 * weight
-            self%f(i+1, j+1, k+1) = fi1 * fj1 * fk1 * weight
+            self%f(i  , j  , k  ) = self%f(i  , j  , k  ) + fi  * fj  * fk  * weight
+            self%f(i+1, j  , k  ) = self%f(i+1, j  , k  ) + fi1 * fj  * fk  * weight
+            self%f(i  , j+1, k  ) = self%f(i  , j+1, k  ) + fi  * fj1 * fk  * weight
+            self%f(i+1, j+1, k  ) = self%f(i+1, j+1, k  ) + fi1 * fj1 * fk  * weight
+            self%f(i  , j  , k+1) = self%f(i  , j  , k+1) + fi  * fj  * fk1 * weight
+            self%f(i+1, j  , k+1) = self%f(i+1, j  , k+1) + fi1 * fj  * fk1 * weight
+            self%f(i  , j+1, k+1) = self%f(i  , j+1, k+1) + fi  * fj1 * fk1 * weight
+            self%f(i+1, j+1, k+1) = self%f(i+1, j+1, k+1) + fi1 * fj1 * fk1 * weight
 
             !Unlock the probe
             CALL OMP_UNSET_LOCK(self%lock)
 
           END IF
 
-        END IF
+        ! END IF
 
       END IF
           

From bc8f20528749446ed9b1b7c083e69cf062aa8b26 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 11 Jul 2024 15:55:02 +0200
Subject: [PATCH 160/203] Clean-up!

Trying to reduce warnings and unused variables in the code. This should
not be in this branch.
---
 src/modules/init/moduleInput.f90                 |  3 +--
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90       |  2 --
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90    |  5 +++--
 .../mesh/inout/vtu/moduleMeshInputVTU.f90        |  1 +
 .../mesh/inout/vtu/moduleMeshOutputVTU.f90       |  9 +++------
 src/modules/mesh/moduleMesh.f90                  |  6 ++++++
 src/modules/moduleInject.f90                     | 16 +++++++---------
 src/modules/solver/electromagnetic/moduleEM.f90  |  3 ++-
 8 files changed, 23 insertions(+), 22 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index bd59e32..6f1d5bb 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -308,7 +308,7 @@ MODULE moduleInput
       LOGICAL:: found
       CHARACTER(:), ALLOCATABLE:: object
       INTEGER:: nInitial
-      INTEGER:: i, j, p, e
+      INTEGER:: i, p, e
       CHARACTER(LEN=2):: iString
       CHARACTER(:), ALLOCATABLE:: spName
       INTEGER:: sp
@@ -923,7 +923,6 @@ MODULE moduleInput
       LOGICAL:: found
       CHARACTER(:), ALLOCATABLE:: meshFormat, meshFile
       REAL(8):: volume
-      CHARACTER(:), ALLOCATABLE:: meshFileVTU !Temporary to test VTU OUTPUT
 
       object = 'geometry'
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 166ae84..2d300b9 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -582,8 +582,6 @@ MODULE moduleMesh2DCyl
       REAL(8):: detJ
       REAL(8):: fPsi(1:4)
       REAL(8):: dPsi(1:3, 1:4), pDer(1:3, 1:3)
-      REAL(8):: corrUp, corrDown
-      REAL(8):: dZ, r2, r1
 
       self%volume  = 0.D0
 
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index 11c3b13..1c8de50 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -108,6 +108,7 @@ MODULE moduleMeshInputGmsh2
       READ(10, *) totalNumElem
 
       !Count edges and volume elements
+      numEdges = 0
       SELECT TYPE(self)
       TYPE IS(meshParticles)
         self%numEdges = 0
@@ -342,7 +343,7 @@ MODULE moduleMeshInputGmsh2
 
       DO i = 1, numNodes
         !Reads the density
-        READ(10, *), e, density(i)
+        READ(10, *) e, density(i)
 
       END DO
 
@@ -353,7 +354,7 @@ MODULE moduleMeshInputGmsh2
 
       DO i = 1, numNodes
         !Reads the velocity
-        READ(10, *), e, velocity(i, 1:3)
+        READ(10, *) e, velocity(i, 1:3)
 
       END DO
 
diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index 61802fb..d408387 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -275,6 +275,7 @@ MODULE moduleMeshInputVTU
       END DO
 
       !Count the number of edges
+      numEdges = 0
       SELECT CASE(self%dimen)
       CASE(3)
         !Edges are triangles, type 5 in VTK
diff --git a/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
index 8637b7e..da90b6b 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
@@ -315,9 +315,8 @@ MODULE moduleMeshOutputVTU
 
       CLASS(meshParticles), INTENT(in):: self
       INTEGER, INTENT(in):: t
-      INTEGER:: n, i, fileID
+      INTEGER:: i, fileID
       CHARACTER(:), ALLOCATABLE:: fileName, fileNameCollection
-      TYPE(outputFormat):: output(1:self%numNodes)
 
       fileID = 60
 
@@ -352,10 +351,9 @@ MODULE moduleMeshOutputVTU
 
       CLASS(meshGeneric), INTENT(in):: self
       INTEGER, INTENT(in):: t
-      INTEGER:: n, i, fileID
+      INTEGER:: fileID
       CHARACTER(:), ALLOCATABLE:: fileName, fileNameCollection
       CHARACTER (LEN=iterationDigits):: tstring
-      TYPE(outputFormat):: output(1:self%numNodes)
 
       fileID = 62
 
@@ -424,9 +422,8 @@ MODULE moduleMeshOutputVTU
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self
-      INTEGER:: n, i, fileIDMean, fileIDDeviation
+      INTEGER:: i, fileIDMean, fileIDDeviation
       CHARACTER(:), ALLOCATABLE:: fileNameMean, fileNameDeviation
-      TYPE(outputFormat):: output(1:self%numNodes)
 
       fileIDMean = 66
       fileIDDeviation = 67
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 7390bca..ae53aa0 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -1025,6 +1025,9 @@ MODULE moduleMesh
           ALLOCATE(deltaV_ij(1:cell%listPart_in(i)%amount, 1:3))
           ALLOCATE(p_ij(1:cell%listPart_in(i)%amount, 1:3))
           ALLOCATE(mass_ij(1:cell%listPart_in(i)%amount))
+          deltaV_ij = 0.D0
+          p_ij      = 0.D0
+          mass_ij   = 0.D0
           !Loop over particles of species_i
           partTemp => cell%listPart_in(i)%head
           p = 1
@@ -1109,6 +1112,9 @@ MODULE moduleMesh
             ALLOCATE(deltaV_ji(1:cell%listPart_in(j)%amount, 1:3))
             ALLOCATE(p_ji(1:cell%listPart_in(j)%amount, 1:3))
             ALLOCATE(mass_ji(1:cell%listPart_in(j)%amount))
+            deltaV_ji = 0.D0
+            p_ji      = 0.D0
+            mass_ji   = 0.D0
             !Loop over particles of species_j
             partTemp => cell%listPart_in(j)%head
             p = 1
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 93302d9..18c7fbb 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -151,28 +151,29 @@ MODULE moduleInject
       ! Information about species and flux
       self%species => species(sp)%obj
       tauInject    = tau(self%species%n)
+      ! Convert units
       SELECT CASE(units)
       CASE ("sccm")
         !Standard cubic centimeter per minute
-        fluxPerStep = flow*sccm2atomPerS*tauInject*ti_ref
+        fluxPerStep = flow*sccm2atomPerS
 
       CASE ("A")
         !Current in Ampers
-        fluxPerStep = flow*tauInject*ti_ref/qe
+        fluxPerStep = flow/qe
 
       CASE ("Am2")
         !Input current in Ampers per square meter
-        fluxPerStep = flow*tauInject*ti_ref*self%surface*L_ref**2/qe
+        fluxPerStep = flow*self%surface*L_ref**2/qe
 
       CASE ("part/s")
         !Input current in Ampers
-        fluxPerStep = flow*tauInject*ti_ref
+        fluxPerStep = flow
 
       CASE DEFAULT
         CALL criticalError("No support for units: " // units, 'initInject')
 
       END SELECT
-      fluxPerStep = fluxPerStep / self%surface
+      fluxPerStep = fluxPerStep * tauInject * ti_ref / self%surface
 
       !Assign particles per edge
       IF (particlesPerEdge > 0) THEN
@@ -307,16 +308,13 @@ MODULE moduleInject
       USE moduleMesh
       USE moduleRandom
       USE moduleErrors
-      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(injectGeneric), INTENT(in):: self
-      INTEGER:: randomX
-      INTEGER, SAVE:: nMin, nMax !Min and Max index in partInj array
+      INTEGER, SAVE:: nMin
       INTEGER:: i, e
       INTEGER:: n, sp
       CLASS(meshEdge), POINTER:: randomEdge
-      INTEGER:: particlesPerEdge
       REAL(8):: direction(1:3)
 
       !Insert particles
diff --git a/src/modules/solver/electromagnetic/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
index bdf6b03..d5d0793 100644
--- a/src/modules/solver/electromagnetic/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -30,8 +30,9 @@ MODULE moduleEM
       INTEGER, ALLOCATABLE:: nodes(:)
       INTEGER:: n
 
+      nNodes = 1
       nNodes = edge%nNodes
-      nodes = edge%getNodes(nNodes)
+      nodes  = edge%getNodes(nNodes)
 
       DO n = 1, nNodes
         SELECT CASE(self%typeEM)

From 72dd3c9073f5123da5267c6f3f6e38749e683e0d Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Thu, 11 Jul 2024 17:40:57 +0200
Subject: [PATCH 161/203] I think I have it

So the radius for the volume integral in the nodes has to be set with a
1/4 3/4 ratio to match the change in volume as the radius changes along
the volume.

This has a bigger impact close to the edge.

Still unsure if this is the "right" thing to do, but at least it works
okay (it seems).
---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 | 12 ++++++------
 1 file changed, 6 insertions(+), 6 deletions(-)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index 2d300b9..ccf0c0f 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -247,7 +247,7 @@ MODULE moduleMesh2DCyl
     !QUAD FUNCTIONS
     !Init element
     SUBROUTINE initCellQuad2DCyl(self, n, p, nodes)
-      USE moduleRefParam
+      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(out):: self
@@ -594,17 +594,17 @@ MODULE moduleMesh2DCyl
       r = DOT_PRODUCT(fPsi,self%r)
       !Computes total volume of the cell
       self%volume  = r*detJ*PI8 !2*pi * 4 (weight of 1 point 2D-Gaussian integral)
-      !Computes volume per node
-      Xi = (/-5.D-1, -5.D-1, 0.D0/)
+      !Computes volume per node. Change the radius point to calculate the area to improve accuracy near the axis.
+      Xi = (/-5.D-1, -0.25D0, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
       self%n1%v = self%n1%v + fPsi(1)*r*detJ*PI8
-      Xi = (/ 5.D-1, -5.D-1, 0.D0/)
+      Xi = (/ 5.D-1, -0.25D0, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
       self%n2%v = self%n2%v + fPsi(2)*r*detJ*PI8
-      Xi = (/ 5.D-1,  5.D-1, 0.D0/)
+      Xi = (/ 5.D-1,  0.75D0, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
       self%n3%v = self%n3%v + fPsi(3)*r*detJ*PI8
-      Xi = (/-5.D-1,  5.D-1, 0.D0/)
+      Xi = (/-5.D-1,  0.75D0, 0.D0/)
       r = self%gatherF(Xi, 4, self%r)
       self%n4%v = self%n4%v + fPsi(4)*r*detJ*PI8
 

From 152ae6b097422d5b5e924835627b5d52473c5c5b Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Thu, 11 Jul 2024 18:19:26 +0200
Subject: [PATCH 162/203] No longer needed

The correction in the node volume is no longer needed as now things are
being calculated right with the last change.

Still, at some point I should review the calculation of the node volume
in 2DCyl.
---
 .../mesh/inout/gmsh2/moduleMeshInputGmsh2.f90      | 14 --------------
 src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90  | 14 --------------
 2 files changed, 28 deletions(-)

diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
index 1c8de50..1ad6a36 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshInputGmsh2.f90
@@ -297,20 +297,6 @@ MODULE moduleMeshInputGmsh2
 
       CLOSE(10)
 
-      ! Adjust node volume at axis
-      SELECT CASE(self%geometry)
-      CASE("Cyl")
-        DO n  = 1, self%numNodes
-          r = self%nodes(n)%obj%getCoordinates()
-          IF (r(2) == 0.D0) THEN
-            self%nodes(n)%obj%v = self%nodes(n)%obj%v * 3.0D0/2.0D0
-
-          END IF
-
-        END DO
-
-      END SELECT
-        
       !Call mesh connectivity
       CALL self%connectMesh
 
diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index d408387..184d645 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -497,20 +497,6 @@ MODULE moduleMeshInputVTU
 
       END DO
 
-      ! Adjust node volume at axis
-      SELECT CASE(self%geometry)
-      CASE("Cyl")
-        DO n  = 1, self%numNodes
-          r = self%nodes(n)%obj%getCoordinates()
-          IF (r(2) == 0.D0) THEN
-            self%nodes(n)%obj%v = self%nodes(n)%obj%v * 3.0D0/2.0D0
-
-          END IF
-
-        END DO
-
-      END SELECT
-        
       !Call mesh connectivity
       CALL self%connectMesh
 

From fb9d1ad8375267eaa1f4bfe7c3b0c44952c94a4d Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Thu, 11 Jul 2024 16:44:29 +0000
Subject: [PATCH 163/203] Update moduleMesh2DCyl.f90

This is not needed.
---
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 | 1 -
 1 file changed, 1 deletion(-)

diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index ccf0c0f..ae1eb92 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -247,7 +247,6 @@ MODULE moduleMesh2DCyl
     !QUAD FUNCTIONS
     !Init element
     SUBROUTINE initCellQuad2DCyl(self, n, p, nodes)
-      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(out):: self

From abedb79b1651386d39e4e08c9de877a66a6d70e4 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 12 Jul 2024 11:02:26 +0200
Subject: [PATCH 164/203] Some comments

Just some comments on how I am going to make the desired changes (have a
Dirichlet boundary condition for the electric potential that changes
with time). This might be a good opportunity to rework the boundary
conditions in the electrostatic field and include other things like a
Newmann boundary condition. We will see.
---
 src/modules/init/moduleInput.f90                | 6 ++++++
 src/modules/solver/electromagnetic/moduleEM.f90 | 2 ++
 2 files changed, 8 insertions(+)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 6f1d5bb..4216c73 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -1173,6 +1173,12 @@ MODULE moduleInput
           IF (.NOT. found) &
             CALL criticalError('Required parameter "physicalSurface" for Dirichlet boundary condition not found', 'readEMBoundary')
 
+        CASE ("dirichletTime")
+          CALL config%get(object // '.potential', boundEM(i)%potential, found)
+          IF (.NOT. found) &
+            CALL criticalError('Required parameter "potential" for Dirichlet boundary condition not found', 'readEMBoundary')
+          boundEM(i)%potential = boundEM(i)%potential/Volt_ref
+
         CASE DEFAULT
           CALL criticalError('Boundary type ' // boundEM(i)%typeEM // ' not yet supported', 'readEMBoundary')
 
diff --git a/src/modules/solver/electromagnetic/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
index d5d0793..f6c7112 100644
--- a/src/modules/solver/electromagnetic/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -2,6 +2,7 @@
 MODULE moduleEM
   IMPLICIT NONE
 
+  ! TODO: Make this a derived type.
   TYPE:: boundaryEM
     CHARACTER(:), ALLOCATABLE:: typeEM
     INTEGER:: physicalSurface
@@ -9,6 +10,7 @@ MODULE moduleEM
 
     CONTAINS
       PROCEDURE, PASS:: apply
+      !PROCEDURE, PASS:: update !only for time dependent boundary conditions or maybe change apply????? That might be better.
 
   END TYPE boundaryEM
 

From f0a27c05295e110829f91c23f1624b9596d1df32 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 12 Jul 2024 13:17:02 +0200
Subject: [PATCH 165/203] More comments

So if the source vector is being updated every time step, it might be
"easy" to implement these things.
---
 src/modules/solver/electromagnetic/moduleEM.f90 | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/src/modules/solver/electromagnetic/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
index f6c7112..ce33570 100644
--- a/src/modules/solver/electromagnetic/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -49,7 +49,7 @@ MODULE moduleEM
 
       END DO
 
-    END SUBROUTINE
+    END SUBROUTINE apply
 
     !Assemble the source vector based on the charge density to solve Poisson's equation
     SUBROUTINE assembleSourceVector(vectorF)
@@ -130,6 +130,7 @@ MODULE moduleEM
       ALLOCATE(tempF(1:mesh%numNodes))
       !$OMP END SINGLE
 
+      !TODO: Is this done every time step??? Then things are gonna be really simple.
       CALL assembleSourceVector(tempF)
 
       !$OMP SINGLE

From 49025a6965869b7a19975b8cad73a989cc0d6028 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 12 Jul 2024 19:21:00 +0200
Subject: [PATCH 166/203] Starting changes

Planning the new way to do BC in the EM field solver.
Probably I have to change how things are read, but I don't think this is
going to affect the input file.
---
 src/modules/solver/electromagnetic/moduleEM.f90 | 12 ++++++++++++
 1 file changed, 12 insertions(+)

diff --git a/src/modules/solver/electromagnetic/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
index ce33570..a141eac 100644
--- a/src/modules/solver/electromagnetic/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -1,12 +1,23 @@
 !Module to solve the electromagnetic field
 MODULE moduleEM
+  USE moduleMesh
   IMPLICIT NONE
 
+  ! Array of pointers to nodes.
+  !TODO: This is probably better in moduleMesh as multiple modules could use this.
+  TYPE:: meshNodePointer
+    CLASS(meshNode), POINTER:: obj
+    CONTAINS
+
+  END TYPE meshNodePointer
+
+
   ! TODO: Make this a derived type.
   TYPE:: boundaryEM
     CHARACTER(:), ALLOCATABLE:: typeEM
     INTEGER:: physicalSurface
     REAL(8):: potential
+    TYPE(meshNodePointer), ALLOCATABLE:: nodes(:)
 
     CONTAINS
       PROCEDURE, PASS:: apply
@@ -42,6 +53,7 @@ MODULE moduleEM
           mesh%K(nodes(n), :)        = 0.D0
           mesh%K(nodes(n), nodes(n)) = 1.D0
         
+          ! TODO: Change this to pointer
           mesh%nodes(nodes(n))%obj%emData%type = self%typeEM
           mesh%nodes(nodes(n))%obj%emData%phi  = self%potential
 

From ac277259408bd6670ea17085527e3f91881fb04e Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 12 Jul 2024 23:08:19 +0200
Subject: [PATCH 167/203] Big one...

I should've commited before, but I wanted to make things compile.

The big change is that I've added a global time step so the parameter
does not need to be passed in each function. This is useful as we are
moving towards using time profiles for boundary conditions and injection
of particles (not in this branch, but in the future and the procedure
will be quite similar)
---
 src/fpakc.f90                                 |  25 ++-
 src/modules/common/moduleCaseParam.f90        |   5 +
 src/modules/init/moduleInput.f90              | 134 +++++++------
 .../mesh/inout/0D/moduleMeshOutput0D.f90      |  21 +-
 .../inout/gmsh2/moduleMeshOutputGmsh2.f90     |  38 ++--
 .../mesh/inout/moduleMeshInoutCommon.f90      |   8 +-
 .../mesh/inout/vtu/moduleMeshInputVTU.f90     |   2 +-
 .../mesh/inout/vtu/moduleMeshOutputVTU.f90    |  35 ++--
 src/modules/mesh/moduleMesh.f90               |  15 +-
 src/modules/moduleInject.f90                  |  26 +--
 src/modules/moduleProbe.f90                   |  28 +--
 src/modules/output/moduleOutput.f90           |   6 +-
 .../solver/electromagnetic/moduleEM.f90       | 180 +++++++++++++-----
 src/modules/solver/moduleSolver.f90           |  37 ++--
 14 files changed, 340 insertions(+), 220 deletions(-)

diff --git a/src/fpakc.f90 b/src/fpakc.f90
index e90a5e0..ae6e7bb 100644
--- a/src/fpakc.f90
+++ b/src/fpakc.f90
@@ -11,12 +11,12 @@ PROGRAM fpakc
   USE OMP_LIB
   IMPLICIT NONE
 
-  ! t = time step
-  INTEGER:: t
   ! arg1 = Input argument 1 (input file)
   CHARACTER(200):: arg1
   ! inputFile = path+name of input file
   CHARACTER(:), ALLOCATABLE:: inputFile
+  ! generic integer for time step
+  INTEGER:: t
 
   tStep = omp_get_wtime()
   !Gets the input file
@@ -32,10 +32,13 @@ PROGRAM fpakc
   CALL initOutput(inputFile)
 
   !Do '0' iteration
-  t = tInitial
+  timeStep = tInitial
 
   !$OMP PARALLEL DEFAULT(SHARED)
   !$OMP SINGLE
+  ! Initial reset of probes
+  CALL resetProbes()
+
   CALL verboseError("Initial scatter of particles...")
   !$OMP END SINGLE
   CALL doScatter()
@@ -49,19 +52,21 @@ PROGRAM fpakc
   tStep = omp_get_wtime() - tStep
 
   !Output initial state
-  CALL doOutput(t)
+  CALL doOutput()
   CALL verboseError('Starting main loop...')
   !$OMP PARALLEL DEFAULT(SHARED) 
   DO t = tInitial + 1, tFinal
-    !Insert new particles and push them
     !$OMP SINGLE
     tStep = omp_get_wtime()
 
+    ! Update global time step index
+    timeStep = t
+
     !Checks if a species needs to me moved in this iteration
-    CALL solver%updatePushSpecies(t)
+    CALL solver%updatePushSpecies()
 
     !Checks if probes need to be calculated this iteration
-    CALL resetProbes(t)
+    CALL resetProbes()
     tPush = omp_get_wtime()
     !$OMP END SINGLE
 
@@ -79,7 +84,7 @@ PROGRAM fpakc
     !$OMP END SINGLE
 
     IF (doMCCollisions) THEN
-      CALL meshForMCC%doCollisions(t)
+      CALL meshForMCC%doCollisions()
 
     END IF
 
@@ -124,12 +129,12 @@ PROGRAM fpakc
     !$OMP SINGLE
     tEMField = omp_get_wtime() - tEMField
 
-    CALL doAverage(t)
+    CALL doAverage()
 
     tStep = omp_get_wtime() - tStep
 
     !Output data
-    CALL doOutput(t)
+    CALL doOutput()
     !$OMP END SINGLE
 
   END DO
diff --git a/src/modules/common/moduleCaseParam.f90 b/src/modules/common/moduleCaseParam.f90
index 8df3210..551d867 100644
--- a/src/modules/common/moduleCaseParam.f90
+++ b/src/modules/common/moduleCaseParam.f90
@@ -2,8 +2,13 @@
 MODULE moduleCaseParam
   !Final and initial iterations
   INTEGER:: tFinal, tInitial = 0
+  ! Global index of current iteration
+  INTEGER:: timeStep
+  ! Time step for all species
   REAL(8), ALLOCATABLE:: tau(:)
+  ! Minimum time step
   REAL(8):: tauMin
+  ! Time step for Monte-Carlo Collisions
   REAL(8):: tauColl
 
 END MODULE moduleCaseParam
diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 4216c73..6800ac1 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -264,8 +264,8 @@ MODULE moduleInput
           CALL readEMBoundary(config)
           !Read constant magnetic field
           DO i = 1, 3
-            WRITE(istring, '(i2)') i
-            CALL config%get(object // '.B(' // istring // ')', B(i), found)
+            WRITE(iString, '(i2)') i
+            CALL config%get(object // '.B(' // iString // ')', B(i), found)
             IF (.NOT. found) THEN
               CALL criticalError('Constant magnetic field not provided in direction ' // iString, 'readSolver')
 
@@ -799,7 +799,7 @@ MODULE moduleInput
 
       TYPE(json_file), INTENT(inout):: config
       INTEGER:: i, s
-      CHARACTER(2):: istring, sString
+      CHARACTER(2):: iString, sString
       CHARACTER(:), ALLOCATABLE:: object, bType
       REAL(8):: Tw, cw !Wall temperature and specific heat
       !Neutral Properties
@@ -815,8 +815,8 @@ MODULE moduleInput
       CALL config%info('boundary', found, n_children = nBoundary)
       ALLOCATE(boundary(1:nBoundary))
       DO i = 1, nBoundary
-        WRITE(istring, '(i2)') i
-        object = 'boundary(' // TRIM(istring) // ')'
+        WRITE(iString, '(i2)') i
+        object = 'boundary(' // TRIM(iString) // ')'
 
         boundary(i)%n = i
         CALL config%get(object // '.name',            boundary(i)%name,            found)
@@ -1100,13 +1100,13 @@ MODULE moduleInput
       TYPE(json_file), INTENT(inout):: config
       CHARACTER(:), ALLOCATABLE:: object
       LOGICAL:: found
-      CHARACTER(2):: istring
+      CHARACTER(2):: iString
       INTEGER:: i
       CHARACTER(:), ALLOCATABLE:: speciesName
       REAL(8), ALLOCATABLE, DIMENSION(:):: r
       REAL(8), ALLOCATABLE, DIMENSION(:):: v1, v2, v3
       INTEGER, ALLOCATABLE, DIMENSION(:):: points
-      REAL(8):: timeStep
+      REAL(8):: everyTimeStep
 
       CALL config%info('output.probes', found, n_children = nProbes)
 
@@ -1114,7 +1114,7 @@ MODULE moduleInput
 
       DO i = 1, nProbes
         WRITE(iString, '(I2)') i
-        object = 'output.probes(' // trim(istring) // ')'
+        object = 'output.probes(' // trim(iString) // ')'
 
         CALL config%get(object // '.species', speciesName, found)
         CALL config%get(object // '.position', r, found)
@@ -1122,16 +1122,14 @@ MODULE moduleInput
         CALL config%get(object // '.velocity_2', v2, found)
         CALL config%get(object // '.velocity_3', v3, found)
         CALL config%get(object // '.points', points, found)
-        CALL config%get(object // '.timeStep', timeStep, found)
+        CALL config%get(object // '.timeStep', everyTimeStep, found)
 
         IF (ANY(points < 2)) CALL criticalError("Number of points in probe " // iString // " incorrect", 'readProbes')
 
-        CALL probe(i)%init(i, speciesName, r, v1, v2, v3, points, timeStep)
+        CALL probe(i)%init(i, speciesName, r, v1, v2, v3, points, everyTimeStep)
 
       END DO
 
-      CALL resetProbes(tInitial)
-
     END SUBROUTINE readProbes
 
     SUBROUTINE readEMBoundary(config)
@@ -1147,40 +1145,56 @@ MODULE moduleInput
       TYPE(json_file), INTENT(inout):: config
       CHARACTER(:), ALLOCATABLE:: object
       LOGICAL:: found
-      CHARACTER(2):: istring
-      INTEGER:: i, e, s
+      CHARACTER(:), ALLOCATABLE:: typeEM
+      REAL(8):: potential
+      INTEGER:: physicalSurface
+      CHARACTER(:), ALLOCATABLE:: timeProfile
+      INTEGER:: b, e, s, n, ni
+      CHARACTER(2):: bString
       INTEGER:: info
       EXTERNAL:: dgetrf
 
       CALL config%info('boundaryEM', found, n_children = nBoundaryEM)
       
-      IF (found) ALLOCATE(boundEM(1:nBoundaryEM))
+      IF (found) ALLOCATE(boundaryEM(1:nBoundaryEM))
       
-      DO i = 1, nBoundaryEM
-        WRITE(istring, '(I2)') i
-        object = 'boundaryEM(' // trim(istring) // ')'
+      DO b = 1, nBoundaryEM
+        WRITE(bString, '(I2)') b
+        object = 'boundaryEM(' // trim(bString) // ')'
 
-        CALL config%get(object // '.type', boundEM(i)%typeEM, found)
+        CALL config%get(object // '.type', typeEM, found)
 
-        SELECT CASE(boundEM(i)%typeEM)
+        SELECT CASE(typeEM)
         CASE ("dirichlet")
-          CALL config%get(object // '.potential', boundEM(i)%potential, found)
-          IF (.NOT. found) &
+          CALL config%get(object // '.potential', potential, found)
+          IF (.NOT. found) THEN
             CALL criticalError('Required parameter "potential" for Dirichlet boundary condition not found', 'readEMBoundary')
-          boundEM(i)%potential = boundEM(i)%potential/Volt_ref
 
-          CALL config%get(object // '.physicalSurface', boundEM(i)%physicalSurface, found)
-          IF (.NOT. found) &
+          END IF
+
+          CALL config%get(object // '.physicalSurface', physicalSurface, found)
+          IF (.NOT. found) THEN
             CALL criticalError('Required parameter "physicalSurface" for Dirichlet boundary condition not found', 'readEMBoundary')
 
+          END IF
+
+          CALL initDirichlet(boundaryEM(b)%obj, physicalSurface, potential)
+
         CASE ("dirichletTime")
-          CALL config%get(object // '.potential', boundEM(i)%potential, found)
-          IF (.NOT. found) &
+          CALL config%get(object // '.potential', potential, found)
+          IF (.NOT. found) THEN
             CALL criticalError('Required parameter "potential" for Dirichlet boundary condition not found', 'readEMBoundary')
-          boundEM(i)%potential = boundEM(i)%potential/Volt_ref
+
+          END IF
+
+          CALL config%get(object // '.physicalSurface', physicalSurface, found)
+          IF (.NOT. found) THEN
+            CALL criticalError('Required parameter "physicalSurface" for Dirichlet boundary condition not found', 'readEMBoundary')
+
+          END IF
 
         CASE DEFAULT
-          CALL criticalError('Boundary type ' // boundEM(i)%typeEM // ' not yet supported', 'readEMBoundary')
+          CALL criticalError('Boundary type ' // typeEM // ' not yet supported', 'readEMBoundary')
 
         END SELECT
 
@@ -1199,18 +1213,28 @@ MODULE moduleInput
 
       END DO
 
-      IF (ALLOCATED(boundEM)) THEN
-        DO e = 1, mesh%numEdges
-          IF (ANY(mesh%edges(e)%obj%physicalSurface == boundEM(:)%physicalSurface)) THEN
-            DO i = 1, nBoundaryEM
-              IF (mesh%edges(e)%obj%physicalSurface == boundEM(i)%physicalSurface) THEN
-                CALL boundEM(i)%apply(mesh%edges(e)%obj)
+      ! Modify K matrix due to boundary conditions
+      DO b = 1, nBoundaryEM
+        SELECT TYPE(boundary => boundaryEM(b)%obj)
+        TYPE IS(boundaryEMDirichlet)
+          DO n = 1, boundary%nNodes
+            ni = boundary%nodes(n)%obj%n
+            mesh%K(ni, :)  = 0.D0
+            mesh%K(ni, ni) = 1.D0
 
-              END IF
-            END DO
-          END IF
-        END DO
-      END IF
+          END DO
+
+        TYPE IS(boundaryEMDirichletTime)
+          DO n = 1, boundary%nNodes
+            ni = boundary%nodes(n)%obj%n
+            mesh%K(ni, :)  = 0.D0
+            mesh%K(ni, ni) = 1.D0
+
+          END DO
+
+        END SELECT
+
+      END DO
 
       !Compute the PLU factorization of K once boundary conditions have been read
       CALL dgetrf(mesh%numNodes, mesh%numNodes, mesh%K, mesh%numNodes, mesh%IPIV, info)
@@ -1231,13 +1255,13 @@ MODULE moduleInput
 
       TYPE(json_file), INTENT(inout):: config
       INTEGER:: i
-      CHARACTER(2):: istring
+      CHARACTER(2):: iString
       CHARACTER(:), ALLOCATABLE:: object
       LOGICAL:: found
       CHARACTER(:), ALLOCATABLE:: speciesName
       CHARACTER(:), ALLOCATABLE:: name
       REAL(8):: v
-      REAL(8), ALLOCATABLE:: T(:), normal(:)
+      REAL(8), ALLOCATABLE:: temperature(:), normal(:)
       REAL(8):: flow
       CHARACTER(:), ALLOCATABLE:: units
       INTEGER:: physicalSurface
@@ -1248,8 +1272,8 @@ MODULE moduleInput
       ALLOCATE(inject(1:nInject))
       nPartInj = 0
       DO i = 1, nInject
-        WRITE(istring, '(i2)') i
-        object = 'inject(' // trim(istring) // ')'
+        WRITE(iString, '(i2)') i
+        object = 'inject(' // trim(iString) // ')'
 
         !Find species
         CALL config%get(object // '.species', speciesName, found)
@@ -1257,7 +1281,7 @@ MODULE moduleInput
 
         CALL config%get(object // '.name',            name,            found)
         CALL config%get(object // '.v',               v,               found)
-        CALL config%get(object // '.T',               T,               found)
+        CALL config%get(object // '.T',               temperature,     found)
         CALL config%get(object // '.n',               normal,          found)
         IF (.NOT. found) THEN
           ALLOCATE(normal(1:3))
@@ -1269,7 +1293,7 @@ MODULE moduleInput
         particlesPerEdge = 0
         CALL config%get(object // '.particlesPerEdge', particlesPerEdge, found)
 
-        CALL inject(i)%init(i, v, normal, T, flow, units, sp, physicalSurface, particlesPerEdge)
+        CALL inject(i)%init(i, v, normal, temperature, flow, units, sp, physicalSurface, particlesPerEdge)
 
         CALL readVelDistr(config, inject(i), object)
         
@@ -1329,28 +1353,28 @@ MODULE moduleInput
       TYPE(injectGeneric), INTENT(inout):: inj
       CHARACTER(:), ALLOCATABLE, INTENT(in):: object
       INTEGER:: i
-      CHARACTER(2):: istring
+      CHARACTER(2):: iString
       CHARACTER(:), ALLOCATABLE:: fvType
       LOGICAL:: found
-      REAL(8):: v, T, m
+      REAL(8):: v, temperature, m
 
       !Reads species mass
       m = inj%species%m
       !Reads distribution functions for velocity
       DO i = 1, 3
-        WRITE(istring, '(i2)') i
-        CALL config%get(object // '.velDist('// TRIM(istring) //')', fvType, found)
-        IF (.NOT. found) CALL criticalError("No velocity distribution in direction " // istring // &
+        WRITE(iString, '(i2)') i
+        CALL config%get(object // '.velDist('// TRIM(iString) //')', fvType, found)
+        IF (.NOT. found) CALL criticalError("No velocity distribution in direction " // iString // &
                                             " found for " // object, 'readVelDistr')
 
         SELECT CASE(fvType)
         CASE ("Maxwellian")
-          T = inj%T(i)
-          CALL initVelDistMaxwellian(inj%v(i)%obj, t, m)
+          temperature = inj%temperature(i)
+          CALL initVelDistMaxwellian(inj%v(i)%obj, temperature, m)
 
         CASE ("Half-Maxwellian")
-          T = inj%T(i)
-          CALL initVelDistHalfMaxwellian(inj%v(i)%obj, t, m)
+          temperature = inj%temperature(i)
+          CALL initVelDistHalfMaxwellian(inj%v(i)%obj, temperature, m)
 
         CASE ("Delta")
           v = inj%vMod*inj%n(i)
diff --git a/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90 b/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
index 97ec729..c0dcfbb 100644
--- a/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
+++ b/src/modules/mesh/inout/0D/moduleMeshOutput0D.f90
@@ -1,22 +1,22 @@
 MODULE moduleMeshOutput0D
 
   CONTAINS
-    SUBROUTINE printOutput0D(self, t)
+    SUBROUTINE printOutput0D(self)
       USE moduleMesh
       USE moduleRefParam
       USE moduleSpecies
       USE moduleOutput
+      USE moduleCaseParam, ONLY: timeStep
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self
-      INTEGER, INTENT(in):: t
       INTEGER:: i
       TYPE(outputFormat):: output
       CHARACTER(:), ALLOCATABLE:: fileName
 
       DO i = 1, nSpecies
         fileName='OUTPUT_' // species(i)%obj%name // '.dat'
-        IF (t == 0) THEN
+        IF (timeStep == 0) THEN
           OPEN(20, file = path // folder // '/' // fileName, action = 'write')
           WRITE(20, "(A1, 14X, A5, A20, 40X, A20, 2(A20))") "#","t (s)","density (m^-3)", "velocity (m/s)", &
                                                                         "pressure (Pa)", "temperature (K)"
@@ -27,14 +27,17 @@ MODULE moduleMeshOutput0D
         
         OPEN(20, file = path // folder // '/' // fileName, position = 'append', action = 'write')
         CALL calculateOutput(self%nodes(1)%obj%output(i), output, self%nodes(1)%obj%v, species(i)%obj)
-        WRITE(20, "(7(ES20.6E3))") REAL(t)*tauMin*ti_ref, output%density, output%velocity, output%pressure, output%temperature
+        WRITE(20, "(7(ES20.6E3))") REAL(timeStep)*tauMin*ti_ref, output%density,    &
+                                                                 output%velocity,   &
+                                                                 output%pressure,   &
+                                                                 output%temperature
         CLOSE(20)
 
       END DO
 
     END SUBROUTINE printOutput0D
 
-    SUBROUTINE printColl0D(self, t)
+    SUBROUTINE printColl0D(self)
       USE moduleMesh
       USE moduleRefParam
       USE moduleCaseParam
@@ -43,12 +46,11 @@ MODULE moduleMeshOutput0D
       IMPLICIT NONE
 
       CLASS(meshGeneric), INTENT(in):: self
-      INTEGER, INTENT(in):: t
       CHARACTER(:), ALLOCATABLE:: fileName
       INTEGER:: k
 
       fileName='OUTPUT_Collisions.dat'
-      IF (t == tInitial) THEN
+      IF (timeStep == tInitial) THEN
         OPEN(20, file = path // folder // '/' // fileName, action = 'write')
         WRITE(20, "(A1, 14X, A5, A20)") "#","t (s)","collisions"
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
@@ -57,12 +59,12 @@ MODULE moduleMeshOutput0D
       END IF
       
       OPEN(20, file = path // folder // '/' // fileName, position = 'append', action = 'write')
-      WRITE(20, "(ES20.6E3, 10I20)") REAL(t)*tauMin*ti_ref, (self%cells(1)%obj%tallyColl(k)%tally, k=1,nCollPairs)
+      WRITE(20, "(ES20.6E3, 10I20)") REAL(timeStep)*tauMin*ti_ref, (self%cells(1)%obj%tallyColl(k)%tally, k=1,nCollPairs)
       CLOSE(20)
 
     END SUBROUTINE printColl0D
 
-    SUBROUTINE printEM0D(self, t)
+    SUBROUTINE printEM0D(self)
       USE moduleMesh
       USE moduleRefParam
       USE moduleCaseParam
@@ -70,7 +72,6 @@ MODULE moduleMeshOutput0D
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self
-      INTEGER, INTENT(in):: t
 
     END SUBROUTINE printEM0D
 
diff --git a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90 b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
index ccdcf3d..8176bb5 100644
--- a/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
+++ b/src/modules/mesh/inout/gmsh2/moduleMeshOutputGmsh2.f90
@@ -80,50 +80,50 @@ MODULE moduleMeshOutputGmsh2
     END SUBROUTINE writeGmsh2FooterElementData
 
     !Prints the scattered properties of particles into the nodes
-    SUBROUTINE printOutputGmsh2(self, t)
+    SUBROUTINE printOutputGmsh2(self)
       USE moduleMesh
       USE moduleRefParam
       USE moduleSpecies
       USE moduleOutput
       USE moduleMeshInoutCommon
+      USE moduleCaseParam, ONLY: timeStep
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self
-      INTEGER, INTENT(in):: t
       INTEGER:: n, i
       TYPE(outputFormat):: output(1:self%numNodes)
       REAL(8):: time
       CHARACTER(:), ALLOCATABLE:: fileName
 
-      time = DBLE(t)*tauMin*ti_ref
+      time = DBLE(timeStep)*tauMin*ti_ref
 
       DO i = 1, nSpecies
-        fileName = formatFileName(prefix, species(i)%obj%name, 'msh', t)
+        fileName = formatFileName(prefix, species(i)%obj%name, 'msh', timeStep)
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (60, file = path // folder // '/' //  fileName)
 
         CALL writeGmsh2HeaderMesh(60)
 
-        CALL writeGmsh2HeaderNodeData(60, species(i)%obj%name // ' density (m^-3)', t, time, 1, self%numNodes)
+        CALL writeGmsh2HeaderNodeData(60, species(i)%obj%name // ' density (m^-3)', timeStep, time, 1, self%numNodes)
         DO n=1, self%numNodes
           CALL calculateOutput(self%nodes(n)%obj%output(i), output(n), self%nodes(n)%obj%v, species(i)%obj)
           WRITE(60, "(I6,ES20.6E3)") n, output(n)%density
         END DO
         CALL writeGmsh2FooterNodeData(60)
 
-        CALL writeGmsh2HeaderNodeData(60, species(i)%obj%name // ' velocity (m s^-1)', t, time, 3, self%numNodes)
+        CALL writeGmsh2HeaderNodeData(60, species(i)%obj%name // ' velocity (m s^-1)', timeStep, time, 3, self%numNodes)
         DO n=1, self%numNodes
           WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%velocity
         END DO
         CALL writeGmsh2FooterNodeData(60)
 
-        CALL writeGmsh2HeaderNodeData(60, species(i)%obj%name // ' Pressure (Pa)', t, time, 1, self%numNodes)
+        CALL writeGmsh2HeaderNodeData(60, species(i)%obj%name // ' Pressure (Pa)', timeStep, time, 1, self%numNodes)
         DO n=1, self%numNodes
           WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%pressure
         END DO
         CALL writeGmsh2FooterNodeData(60)
 
-        CALL writeGmsh2HeaderNodeData(60, species(i)%obj%name // ' Temperature (K)', t, time, 1, self%numNodes)
+        CALL writeGmsh2HeaderNodeData(60, species(i)%obj%name // ' Temperature (K)', timeStep, time, 1, self%numNodes)
         DO n=1, self%numNodes
           WRITE(60, "(I6,3(ES20.6E3))") n, output(n)%temperature
         END DO
@@ -135,7 +135,7 @@ MODULE moduleMeshOutputGmsh2
     END SUBROUTINE printOutputGmsh2
 
     !Prints the number of collisions into the volumes
-    SUBROUTINE printCollGmsh2(self, t)
+    SUBROUTINE printCollGmsh2(self)
       USE moduleMesh
       USE moduleRefParam
       USE moduleCaseParam
@@ -145,7 +145,6 @@ MODULE moduleMeshOutputGmsh2
       IMPLICIT NONE
 
       CLASS(meshGeneric), INTENT(in):: self
-      INTEGER, INTENT(in):: t
       INTEGER:: numEdges
       INTEGER:: k, c
       INTEGER:: n
@@ -167,9 +166,9 @@ MODULE moduleMeshOutputGmsh2
       END SELECT
 
       IF (collOutput) THEN
-        time = DBLE(t)*tauMin*ti_ref
+        time = DBLE(timeStep)*tauMin*ti_ref
 
-        fileName = formatFileName(prefix, 'Collisions', 'msh', t)
+        fileName = formatFileName(prefix, 'Collisions', 'msh', timeStep)
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (60, file = path // folder // '/' //  fileName)
 
@@ -179,7 +178,7 @@ MODULE moduleMeshOutputGmsh2
           DO c = 1, interactionMatrix(k)%amount
             WRITE(cString, "(I2)") c
             title = '"Pair ' // interactionMatrix(k)%sp_i%name // '-' // interactionMatrix(k)%sp_j%name // ' collision ' // cString
-            CALL writeGmsh2HeaderElementData(60, title, t, time, 1, self%numCells)
+            CALL writeGmsh2HeaderElementData(60, title, timeStep, time, 1, self%numCells)
             DO n=1, self%numCells
               WRITE(60, "(I6,I10)") n + numEdges, self%cells(n)%obj%tallyColl(k)%tally(c)
             END DO
@@ -196,7 +195,7 @@ MODULE moduleMeshOutputGmsh2
     END SUBROUTINE printCollGmsh2
 
     !Prints the electrostatic EM properties into the nodes and volumes
-    SUBROUTINE printEMGmsh2(self, t)
+    SUBROUTINE printEMGmsh2(self)
       USE moduleMesh
       USE moduleRefParam
       USE moduleCaseParam
@@ -205,7 +204,6 @@ MODULE moduleMeshOutputGmsh2
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self
-      INTEGER, INTENT(in):: t
       INTEGER:: n, e
       REAL(8):: time
       CHARACTER(:), ALLOCATABLE:: fileName
@@ -214,27 +212,27 @@ MODULE moduleMeshOutputGmsh2
       Xi = (/ 0.D0, 0.D0, 0.D0 /)
 
       IF (emOutput) THEN
-        time = DBLE(t)*tauMin*ti_ref
+        time = DBLE(timeStep)*tauMin*ti_ref
 
-        fileName = formatFileName(prefix, 'EMField', 'msh', t)
+        fileName = formatFileName(prefix, 'EMField', 'msh', timeStep)
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (20, file = path // folder // '/' //  fileName)
 
         CALL writeGmsh2HeaderMesh(20)
 
-        CALL writeGmsh2HeaderNodeData(20, 'Potential (V)', t, time, 1, self%numNodes)
+        CALL writeGmsh2HeaderNodeData(20, 'Potential (V)', timeStep, time, 1, self%numNodes)
         DO n=1, self%numNodes
           WRITE(20, *) n, self%nodes(n)%obj%emData%phi*Volt_ref
         END DO
         CALL writeGmsh2FooterNodeData(20)
         
-        CALL writeGmsh2HeaderElementData(20, 'Electric Field (V m^-1)', t, time, 3, self%numCells)
+        CALL writeGmsh2HeaderElementData(20, 'Electric Field (V m^-1)', timeStep, time, 3, self%numCells)
         DO e=1, self%numCells
           WRITE(20, *) e+self%numEdges, self%cells(e)%obj%gatherElectricField(Xi)*EF_ref
         END DO
         CALL writeGmsh2FooterElementData(20)
 
-        CALL writeGmsh2HeaderNodeData(20, 'Magnetic Field (T)', t, time, 3, self%numNodes)
+        CALL writeGmsh2HeaderNodeData(20, 'Magnetic Field (T)', timeStep, time, 3, self%numNodes)
         DO n=1, self%numNodes
           WRITE(20, *) n, self%nodes(n)%obj%emData%B * B_ref
         END DO
diff --git a/src/modules/mesh/inout/moduleMeshInoutCommon.f90 b/src/modules/mesh/inout/moduleMeshInoutCommon.f90
index e4a6c72..7dc2e84 100644
--- a/src/modules/mesh/inout/moduleMeshInoutCommon.f90
+++ b/src/modules/mesh/inout/moduleMeshInoutCommon.f90
@@ -3,17 +3,17 @@ MODULE moduleMeshInoutCommon
   CHARACTER(LEN=4):: prefix = 'Step'
 
   CONTAINS
-    PURE FUNCTION formatFileName(prefix, suffix, extension, t) RESULT(fileName)
+    PURE FUNCTION formatFileName(prefix, suffix, extension, timeStep) RESULT(fileName)
       USE moduleOutput
       IMPLICIT NONE
 
       CHARACTER(*), INTENT(in):: prefix, suffix, extension
-      INTEGER, INTENT(in), OPTIONAL:: t
+      INTEGER, INTENT(in), OPTIONAL:: timeStep
       CHARACTER (LEN=iterationDigits):: tString
       CHARACTER(:), ALLOCATABLE:: fileName
 
-      IF (PRESENT(t)) THEN
-        WRITE(tString, iterationFormat) t
+      IF (PRESENT(timeStep)) THEN
+        WRITE(tString, iterationFormat) timeStep
         fileName = prefix //  '_' // tString // '_' // suffix // '.' // extension
 
       ELSE
diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index 184d645..e07db01 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -167,7 +167,7 @@ MODULE moduleMeshInputVTU
       CLASS(meshGeneric), INTENT(inout):: self
       CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
       REAL(8):: r(1:3) !3 generic coordinates
-      INTEGER:: fileID, error, found
+      INTEGER:: fileID
       CHARACTER(LEN=256):: line
       INTEGER:: numNodes, numElements, numEdges
       INTEGER, ALLOCATABLE, DIMENSION(:):: entitiesID, offsets, connectivity, types
diff --git a/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
index da90b6b..81e4bbf 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
@@ -215,17 +215,16 @@ MODULE moduleMeshOutputVTU
 
     END SUBROUTINE writeEM
 
-    SUBROUTINE writeCollection(fileID, t, fileNameStep, fileNameCollection)
+    SUBROUTINE writeCollection(fileID, fileNameStep, fileNameCollection)
       USE moduleCaseParam
       USE moduleOutput
       USE moduleRefParam
       IMPLICIT NONE
 
       INTEGER:: fileID
-      INTEGER, INTENT(in):: t
       CHARACTER(*):: fileNameStep, fileNameCollection
 
-      IF (t == tInitial) THEN
+      IF (timeStep == tInitial) THEN
         !Create collection file
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileNameCollection
         OPEN (fileID + 1, file = path // folder  // '/' // fileNameCollection)
@@ -237,10 +236,11 @@ MODULE moduleMeshOutputVTU
 
       !Write iteration file in collection
       OPEN (fileID + 1, file = path // folder  // '/' // fileNameCollection, ACCESS='APPEND')
-      WRITE(fileID + 1, "(4X, A, ES20.6E3, A, A, A)") '<DataSet timestep="', DBLE(t)*tauMin*ti_ref,'" file="', fileNameStep,'"/>'
+      WRITE(fileID + 1, "(4X, A, ES20.6E3, A, A, A)") &
+            '<DataSet timestep="', DBLE(timeStep)*tauMin*ti_ref,'" file="', fileNameStep,'"/>'
 
       !Close collection file
-      IF (t == tFinal) THEN
+      IF (timeStep == tFinal) THEN
         WRITE (fileID + 1, "(2X, A)") '</Collection>'
         WRITE (fileID + 1, "(A)") '</VTKFile>'
 
@@ -307,21 +307,21 @@ MODULE moduleMeshOutputVTU
 
     END SUBROUTINE writeAverage
 
-    SUBROUTINE printOutputVTU(self,t)
+    SUBROUTINE printOutputVTU(self)
       USE moduleMesh
       USE moduleSpecies
       USE moduleMeshInoutCommon
+      USE moduleCaseParam, ONLY: timeStep
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self
-      INTEGER, INTENT(in):: t
       INTEGER:: i, fileID
       CHARACTER(:), ALLOCATABLE:: fileName, fileNameCollection
 
       fileID = 60
 
       DO i = 1, nSpecies
-        fileName = formatFileName(prefix, species(i)%obj%name, 'vtu', t)
+        fileName = formatFileName(prefix, species(i)%obj%name, 'vtu', timeStep)
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (fileID, file = path // folder // '/' //  fileName)
 
@@ -337,28 +337,27 @@ MODULE moduleMeshOutputVTU
 
         !Write collection file for time plotting
         fileNameCollection = formatFileName('Collection', species(i)%obj%name, 'pvd')
-        CALL writeCollection(fileID, t, fileName, filenameCollection)
+        CALL writeCollection(fileID, fileName, filenameCollection)
 
       END DO
 
     END SUBROUTINE printOutputVTU
 
-    SUBROUTINE printCollVTU(self,t)
+    SUBROUTINE printCollVTU(self)
       USE moduleMesh
       USE moduleOutput
       USE moduleMeshInoutCommon
+      USE moduleCaseParam, ONLY: timeStep
       IMPLICIT NONE
 
       CLASS(meshGeneric), INTENT(in):: self
-      INTEGER, INTENT(in):: t
       INTEGER:: fileID
       CHARACTER(:), ALLOCATABLE:: fileName, fileNameCollection
-      CHARACTER (LEN=iterationDigits):: tstring
 
       fileID = 62
 
       IF (collOutput) THEN
-        fileName = formatFileName(prefix, 'Collisions', 'vtu', t)
+        fileName = formatFileName(prefix, 'Collisions', 'vtu', timeStep)
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (fileID, file = path // folder // '/' //  fileName)
 
@@ -374,26 +373,26 @@ MODULE moduleMeshOutputVTU
 
         !Write collection file for time plotting
         fileNameCollection = formatFileName('Collection', 'Collisions', 'pvd')
-        CALL writeCollection(fileID, t, fileName, filenameCollection)
+        CALL writeCollection(fileID, fileName, filenameCollection)
 
       END IF
 
     END SUBROUTINE printCollVTU
 
-    SUBROUTINE printEMVTU(self, t)
+    SUBROUTINE printEMVTU(self)
       USE moduleMesh
       USE moduleMeshInoutCommon
+      USE moduleCaseParam, ONLY: timeStep
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(in):: self
-      INTEGER, INTENT(in):: t
       INTEGER:: fileID
       CHARACTER(:), ALLOCATABLE:: fileName, fileNameCollection
 
       fileID = 64
 
       IF (emOutput) THEN
-        fileName = formatFileName(prefix, 'EMField', 'vtu', t)
+        fileName = formatFileName(prefix, 'EMField', 'vtu', timeStep)
         WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
         OPEN (fileID, file = path // folder // '/' //  fileName)
 
@@ -409,7 +408,7 @@ MODULE moduleMeshOutputVTU
 
         !Write collection file for time plotting
         fileNameCollection = formatFileName('Collection', 'EMField', 'pvd')
-        CALL writeCollection(fileID, t, fileName, filenameCollection)
+        CALL writeCollection(fileID, fileName, filenameCollection)
 
       END IF
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index ae53aa0..f933dd1 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -372,10 +372,9 @@ MODULE moduleMesh
     END SUBROUTINE connectMesh_interface
 
     !Prints number of collisions in each cell
-    SUBROUTINE printColl_interface(self, t)
+    SUBROUTINE printColl_interface(self)
       IMPORT meshGeneric
       CLASS(meshGeneric), INTENT(in):: self
-      INTEGER, INTENT(in):: t
 
     END SUBROUTINE printColl_interface
 
@@ -403,18 +402,16 @@ MODULE moduleMesh
 
   ABSTRACT INTERFACE
     !Prints Species data
-    SUBROUTINE printOutput_interface(self, t)
+    SUBROUTINE printOutput_interface(self)
       IMPORT meshParticles
       CLASS(meshParticles), INTENT(in):: self
-      INTEGER, INTENT(in):: t
 
     END SUBROUTINE printOutput_interface
 
     !Prints EM info
-    SUBROUTINE printEM_interface(self, t)
+    SUBROUTINE printEM_interface(self)
       IMPORT meshParticles
       CLASS(meshParticles), INTENT(in):: self
-      INTEGER, INTENT(in):: t
 
     END SUBROUTINE printEM_interface
 
@@ -789,7 +786,7 @@ MODULE moduleMesh
     END FUNCTION findCellBrute
 
     !Computes collisions in element
-    SUBROUTINE doCollisions(self, t)
+    SUBROUTINE doCollisions(self)
       USE moduleCollisions
       USE moduleSpecies
       USE moduleList
@@ -797,10 +794,10 @@ MODULE moduleMesh
       USE moduleRandom
       USE moduleOutput
       USE moduleMath
+      USE moduleCaseParam, ONLY: timeStep
       IMPLICIT NONE
 
       CLASS(meshGeneric), INTENT(inout), TARGET:: self
-      INTEGER, INTENT(in):: t
       INTEGER:: e
       CLASS(meshCell), POINTER:: cell
       INTEGER:: k, i, j
@@ -816,7 +813,7 @@ MODULE moduleMesh
       REAL(8):: rnd_real !Random number for collision
       INTEGER:: rnd_int  !Random number for collision
 
-      IF (MOD(t, everyColl) == 0) THEN
+      IF (MOD(timeStep, everyColl) == 0) THEN
         !Collisions need to be performed in this iteration
         !$OMP DO SCHEDULE(DYNAMIC) PRIVATE(part_i, part_j, partTemp_i, partTemp_j)
         DO e=1, self%numCells
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 18c7fbb..5b96be2 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -54,7 +54,7 @@ MODULE moduleInject
     INTEGER:: id
     CHARACTER(:), ALLOCATABLE:: name
     REAL(8):: vMod !Velocity (module)
-    REAL(8):: T(1:3) !Temperature
+    REAL(8):: temperature(1:3) !Temperature
     REAL(8):: n(1:3) !Direction of injection
     LOGICAL:: fixDirection !The injection of particles has a fix direction defined by n
     INTEGER:: nParticles !Number of particles to introduce each time step
@@ -76,7 +76,7 @@ MODULE moduleInject
 
   CONTAINS
     !Initialize an injection of particles
-    SUBROUTINE initInject(self, i, v, n, T, flow, units, sp, physicalSurface, particlesPerEdge)
+    SUBROUTINE initInject(self, i, v, n, temperature, flow, units, sp, physicalSurface, particlesPerEdge)
       USE moduleMesh
       USE moduleRefParam
       USE moduleConstParam
@@ -87,7 +87,7 @@ MODULE moduleInject
 
       CLASS(injectGeneric), INTENT(inout):: self
       INTEGER, INTENT(in):: i
-      REAL(8), INTENT(in):: v, n(1:3), T(1:3)
+      REAL(8), INTENT(in):: v, n(1:3), temperature(1:3)
       INTEGER, INTENT(in):: sp, physicalSurface, particlesPerEdge
       REAL(8):: tauInject
       REAL(8), INTENT(in):: flow
@@ -97,10 +97,10 @@ MODULE moduleInject
       INTEGER:: nVolColl
       REAL(8):: fluxPerStep = 0.D0
 
-      self%id      =  i
-      self%vMod    =  v / v_ref
-      self%n       =  n / NORM2(n)
-      self%T       =  T / T_ref
+      self%id          =  i
+      self%vMod        =  v / v_ref
+      self%n           =  n / NORM2(n)
+      self%temperature =  temperature / T_ref
       !Gets the edge elements from which particles are injected
       DO e = 1, mesh%numEdges
         phSurface(e) = mesh%edges(e)%obj%physicalSurface
@@ -232,23 +232,23 @@ MODULE moduleInject
 
     END SUBROUTINE doInjects
 
-    SUBROUTINE initVelDistMaxwellian(velDist, T, m)
+    SUBROUTINE initVelDistMaxwellian(velDist, temperature, m)
       IMPLICIT NONE
 
       CLASS(velDistGeneric), ALLOCATABLE, INTENT(out):: velDist
-      REAL(8), INTENT(in):: T, m
+      REAL(8), INTENT(in):: temperature, m
 
-      velDist = velDistMaxwellian(vTh = DSQRT(T/m))
+      velDist = velDistMaxwellian(vTh = DSQRT(temperature/m))
 
     END SUBROUTINE initVelDistMaxwellian
 
-    SUBROUTINE initVelDistHalfMaxwellian(velDist, T, m)
+    SUBROUTINE initVelDistHalfMaxwellian(velDist, temperature, m)
       IMPLICIT NONE
 
       CLASS(velDistGeneric), ALLOCATABLE, INTENT(out):: velDist
-      REAL(8), INTENT(in):: T, m
+      REAL(8), INTENT(in):: temperature, m
 
-      velDist = velDistHalfMaxwellian(vTh = DSQRT(T/m))
+      velDist = velDistHalfMaxwellian(vTh = DSQRT(temperature/m))
 
     END SUBROUTINE initVelDistHalfMaxwellian
 
diff --git a/src/modules/moduleProbe.f90 b/src/modules/moduleProbe.f90
index c29eeda..754d56a 100644
--- a/src/modules/moduleProbe.f90
+++ b/src/modules/moduleProbe.f90
@@ -27,7 +27,7 @@ MODULE moduleProbe
 
   CONTAINS
     !Functions for probeDistFunc type
-    SUBROUTINE init(self, id, speciesName, r, v1, v2, v3, points, timeStep)
+    SUBROUTINE init(self, id, speciesName, r, v1, v2, v3, points, everyTimeStep)
       USE moduleCaseParam
       USE moduleRefParam
       USE moduleSpecies
@@ -41,7 +41,7 @@ MODULE moduleProbe
       REAL(8), INTENT(in):: r(1:3)
       REAL(8), INTENT(in):: v1(1:2), v2(1:2), v3(1:2)
       INTEGER, INTENT(in):: points(1:3)
-      REAL(8), INTENT(in):: timeStep
+      REAL(8), INTENT(in):: everyTimeStep
       INTEGER:: sp, i
       REAL(8):: dv(1:3)
 
@@ -91,11 +91,11 @@ MODULE moduleProbe
                       1:self%nv(3)))
 
       !Number of iterations between output
-      IF (timeStep == 0.D0) THEN
+      IF (everyTimeStep == 0.D0) THEN
         self%every = 1
 
       ELSE
-        self%every = NINT(timeStep/ tauMin / ti_ref)
+        self%every = NINT(everyTimeStep/ tauMin / ti_ref)
 
       END IF
       
@@ -189,13 +189,13 @@ MODULE moduleProbe
           
     END SUBROUTINE calculate
 
-    SUBROUTINE output(self, t)
+    SUBROUTINE output(self)
       USE moduleOutput
       USE moduleRefParam
+      USE moduleCaseParam, ONLY: timeStep
       IMPLICIT NONE
 
       CLASS(probeDistFunc), INTENT(inout):: self
-      INTEGER, INTENT(in):: t
       CHARACTER (LEN=iterationDigits):: tstring
       CHARACTER (LEN=3):: pstring
       CHARACTER(:), ALLOCATABLE:: filename
@@ -204,14 +204,14 @@ MODULE moduleProbe
       !Divide by the velocity cube volume
       self%f = self%f * self%dvInv
 
-      WRITE(tstring, iterationFormat) t
+      WRITE(tstring, iterationFormat) timeStep
       WRITE(pstring, "(I3.3)") self%id
       fileName='Probe_' // tstring// '_f_' // pstring // '.dat'
       WRITE(*, "(6X,A15,A)") "Creating file: ", fileName
       OPEN (10, file = path // folder // '/' //  fileName)
       WRITE(10, "(A1, 1X, A)")               "# ", self%species%name
       WRITE(10, "(A6, 3(ES15.6E3), A2)") "# r = ", self%r(:)*L_ref, " m"
-      WRITE(10, "(A6, ES15.6E3, A2)")    "# t = ", REAL(t)*tauMin*ti_ref, " s"
+      WRITE(10, "(A6, ES15.6E3, A2)")    "# t = ", REAL(timeStep)*tauMin*ti_ref, " s"
       WRITE(10, "(A1, A19, 3(A20))")     "#", "v1 (m s^-1)", "v2 (m s^-1)", "v3 (m s^-1)", "f"
       DO i = 1, self%nv(1)
         DO j = 1, self%nv(2)
@@ -252,15 +252,15 @@ MODULE moduleProbe
 
     END SUBROUTINE doProbes
 
-    SUBROUTINE outputProbes(t)
+    SUBROUTINE outputProbes()
+      USE moduleCaseParam, ONLY: timeStep
       IMPLICIT NONE
 
-      INTEGER, INTENT(in):: t
       INTEGER:: i
 
       DO i = 1, nProbes
         IF (probe(i)%update) THEN
-          CALL probe(i)%output(t)
+          CALL probe(i)%output()
 
         END IF
 
@@ -268,15 +268,15 @@ MODULE moduleProbe
 
     END SUBROUTINE outputProbes
 
-    SUBROUTINE resetProbes(t)
+    SUBROUTINE resetProbes()
+      USE moduleCaseParam, ONLY: timeStep
       IMPLICIT NONE
 
-      INTEGER, INTENT(in):: t
       INTEGER:: i
 
       DO i = 1, nProbes
         probe(i)%f = 0.D0
-        probe(i)%update = t == tFinal .OR. t == tInitial .OR. MOD(t, probe(i)%every) == 0
+        probe(i)%update = timeStep == tFinal .OR. timeStep == tInitial .OR. MOD(timeStep, probe(i)%every) == 0
 
       END DO
 
diff --git a/src/modules/output/moduleOutput.f90 b/src/modules/output/moduleOutput.f90
index 18fbb7f..e6dc91f 100644
--- a/src/modules/output/moduleOutput.f90
+++ b/src/modules/output/moduleOutput.f90
@@ -160,12 +160,12 @@ MODULE moduleOutput
 
     END SUBROUTINE calculateOutput
 
-    SUBROUTINE printTime(t, first)
+    SUBROUTINE printTime(first)
       USE moduleSpecies
       USE moduleCompTime
+      USE moduleCaseParam, ONLY: timeStep
       IMPLICIT NONE
 
-      INTEGER, INTENT(in):: t
       LOGICAL, INTENT(in), OPTIONAL:: first
       CHARACTER(:), ALLOCATABLE:: fileName
 
@@ -187,7 +187,7 @@ MODULE moduleOutput
 
         OPEN(20, file = path // folder // '/' // fileName, position = 'append', action = 'write')
 
-        WRITE (20, "(I10, I10, 7(ES20.6E3))") t, nPartOld, tStep, tPush, tReset, tColl, tCoul, tWeight, tEMField
+        WRITE (20, "(I10, I10, 7(ES20.6E3))") timeStep, nPartOld, tStep, tPush, tReset, tColl, tCoul, tWeight, tEMField
 
         CLOSE(20)
 
diff --git a/src/modules/solver/electromagnetic/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
index a141eac..30a23ad 100644
--- a/src/modules/solver/electromagnetic/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -1,6 +1,7 @@
 !Module to solve the electromagnetic field
 MODULE moduleEM
   USE moduleMesh
+  USE moduleTable
   IMPLICIT NONE
 
   ! Array of pointers to nodes.
@@ -11,57 +12,155 @@ MODULE moduleEM
 
   END TYPE meshNodePointer
 
-
-  ! TODO: Make this a derived type.
-  TYPE:: boundaryEM
-    CHARACTER(:), ALLOCATABLE:: typeEM
-    INTEGER:: physicalSurface
-    REAL(8):: potential
+  ! Generic type for electromagnetic boundary conditions
+  TYPE, PUBLIC, ABSTRACT:: boundaryEMGeneric
+    INTEGER:: nNodes
     TYPE(meshNodePointer), ALLOCATABLE:: nodes(:)
 
     CONTAINS
-      PROCEDURE, PASS:: apply
+      PROCEDURE(applyEM_interface), DEFERRED, PASS:: apply
       !PROCEDURE, PASS:: update !only for time dependent boundary conditions or maybe change apply????? That might be better.
 
-  END TYPE boundaryEM
+  END TYPE boundaryEMGeneric
+
+  ABSTRACT INTERFACE
+    ! Apply boundary condition to the load vector for the Poission equation
+    SUBROUTINE applyEM_interface(self, vectorF)
+      IMPORT boundaryEMGeneric
+      CLASS(boundaryEMGeneric), INTENT(in):: self
+      REAL(8), INTENT(inout):: vectorF(:)
+
+    END SUBROUTINE applyEM_interface
+
+  END INTERFACE
+
+  TYPE, EXTENDS(boundaryEMGeneric):: boundaryEMDirichlet
+    REAL(8):: potential
+
+    CONTAINS
+      ! boundaryEMGeneric DEFERRED PROCEDURES
+      PROCEDURE, PASS:: apply => applyDirichlet
+
+  END TYPE boundaryEMDirichlet
+
+  TYPE, EXTENDS(boundaryEMGeneric):: boundaryEMDirichletTime
+    REAL(8):: potential
+    TYPE(table1D):: temporalProfile
+
+    CONTAINS
+      ! boundaryEMGeneric DEFERRED PROCEDURES
+      PROCEDURE, PASS:: apply => applyDirichletTime
+
+  END TYPE boundaryEMDirichletTime
+
+  ! Container for boundary conditions
+  TYPE:: boundaryEMCont
+    CLASS(boundaryEMGeneric), ALLOCATABLE:: obj
+
+  END TYPE boundaryEMCont
 
   INTEGER:: nBoundaryEM
-  TYPE(boundaryEM), ALLOCATABLE:: boundEM(:)
+  TYPE(boundaryEMCont), ALLOCATABLE:: boundaryEM(:)
 
   !Information of charge and reference parameters for rho vector
   REAL(8), ALLOCATABLE:: qSpecies(:)
 
   CONTAINS
-    !Apply boundary conditions to the K matrix for Poisson's equation
-    SUBROUTINE apply(self, edge)
+    ! Initialize Dirichlet boundary condition
+    SUBROUTINE initDirichlet(self, physicalSurface, potential)
+      USE moduleMesh
+      USE moduleRefParam, ONLY: Volt_ref
+      IMPLICIT NONE
+
+      CLASS(boundaryEMGeneric), ALLOCATABLE, INTENT(out):: self
+      INTEGER:: physicalSurface
+      REAL(8), INTENT(in):: potential
+      CLASS(meshEdge), POINTER:: edge
+      INTEGER, ALLOCATABLE:: nodes(:), nodesEdge(:)
+      INTEGER:: nNodes, nodesNew
+      INTEGER:: e, n
+
+      ! Allocate boundary edge
+      ALLOCATE(boundaryEMDirichlet:: self)
+
+      SELECT TYPE(self)
+      TYPE IS(boundaryEMDirichlet)
+        self%potential = potential / Volt_ref
+
+        !TODO: This is going into a function
+        !Temporal array to hold nodes
+        ALLOCATE(nodes(0))
+
+        ! Loop thorugh the edges and identify those that are part of the boundary
+        DO e = 1, mesh%numEdges
+          edge => mesh%edges(e)%obj
+          IF (edge%physicalSurface == physicalSurface) THEN
+            ! Edge is of the right boundary index
+            ! Get nodes in the edge
+            nNodes = edge%nNodes
+            nodesEdge = edge%getNodes(nNodes)
+            ! Collect all nodes that are not already in the temporal array
+            DO n = 1, nNodes
+              IF (ANY(nodes == nodesEdge(n))) THEN
+                ! Node already in array, skip
+                CYCLE
+
+              ELSE
+                ! If not, add element to array of nodes
+                nodes = [nodes, nodesEdge(n)]
+
+              END IF
+
+            END DO
+
+          END IF
+
+        END DO
+
+        ! Point boundary to nodes
+        nNodes = SIZE(nodes)
+        ALLOCATE(self%nodes(nNodes))
+        DO n = 1, nNodes
+          self%nodes(n)%obj => mesh%nodes(nodes(n))%obj
+
+        END DO
+
+      END SELECT
+
+    END SUBROUTINE initDirichlet
+
+    !Apply Dirichlet boundary condition to the poisson equation
+    SUBROUTINE applyDirichlet(self, vectorF)
       USE moduleMesh
       IMPLICIT NONE
 
-      CLASS(boundaryEM), INTENT(in):: self
-      CLASS(meshEdge):: edge
-      INTEGER:: nNodes
-      INTEGER, ALLOCATABLE:: nodes(:)
-      INTEGER:: n
+      CLASS(boundaryEMDirichlet), INTENT(in):: self
+      REAL(8), INTENT(inout):: vectorF(:)
+      INTEGER:: n, ni
 
-      nNodes = 1
-      nNodes = edge%nNodes
-      nodes  = edge%getNodes(nNodes)
-
-      DO n = 1, nNodes
-        SELECT CASE(self%typeEM)
-        CASE ("dirichlet")
-          mesh%K(nodes(n), :)        = 0.D0
-          mesh%K(nodes(n), nodes(n)) = 1.D0
-        
-          ! TODO: Change this to pointer
-          mesh%nodes(nodes(n))%obj%emData%type = self%typeEM
-          mesh%nodes(nodes(n))%obj%emData%phi  = self%potential
-
-        END SELECT
+      DO n = 1, self%nNodes
+        self%nodes(n)%obj%emData%phi = self%potential
 
       END DO
 
-    END SUBROUTINE apply
+    END SUBROUTINE applyDirichlet
+
+    !Apply Dirichlet boundary condition with time temporal profile
+    SUBROUTINE applyDirichletTime(self, vectorF)
+      USE moduleMesh
+      USE moduleCaseParam, ONLY: timeStep, tauMin
+      IMPLICIT NONE
+
+      CLASS(boundaryEMDirichletTime), INTENT(in):: self
+      REAL(8), INTENT(inout):: vectorF(:)
+      INTEGER:: n, ni
+
+      DO n = 1, self%nNodes
+        self%nodes(n)%obj%emData%phi = self%potential
+
+      END DO
+
+    END SUBROUTINE applyDirichletTime
 
     !Assemble the source vector based on the charge density to solve Poisson's equation
     SUBROUTINE assembleSourceVector(vectorF)
@@ -74,13 +173,14 @@ MODULE moduleEM
       INTEGER, ALLOCATABLE:: nodes(:)
       REAL(8), ALLOCATABLE:: rho(:)
       INTEGER:: nNodes
-      INTEGER:: e, i, ni
+      INTEGER:: e, i, ni, b
       CLASS(meshNode), POINTER:: node
 
       !$OMP SINGLE
       vectorF = 0.D0
       !$OMP END SINGLE
 
+      ! Calculate charge density in each node
       !$OMP DO REDUCTION(+:vectorF)
       DO e = 1, mesh%numCells
         nNodes = mesh%cells(e)%obj%nNodes
@@ -112,18 +212,12 @@ MODULE moduleEM
       !$OMP END DO
 
       !Apply boundary conditions
-      !$OMP DO
-      DO i = 1, mesh%numNodes
-        node => mesh%nodes(i)%obj
-
-        SELECT CASE(node%emData%type)
-        CASE ("dirichlet")
-          vectorF(i) = node%emData%phi
-
-        END SELECT
+      !$OMP SINGLE
+      DO b = 1, nBoundaryEM
+        CALL boundaryEM(b)%obj%apply(vectorF)
 
       END DO
-      !$OMP END DO
+      !$OMP END SINGLE
 
     END SUBROUTINE assembleSourceVector
 
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index 0b2837f..5928508 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -491,47 +491,46 @@ MODULE moduleSolver
     END SUBROUTINE updateParticleCell
 
     !Update the information about if a species needs to be moved this iteration
-    SUBROUTINE updatePushSpecies(self, t)
+    SUBROUTINE updatePushSpecies(self)
       USE moduleSpecies
+      USE moduleCaseparam, ONLY: timeStep
       IMPLICIT NONE
 
       CLASS(solverGeneric), INTENT(inout):: self
-      INTEGER, INTENT(in):: t
       INTEGER:: s
 
       DO s=1, nSpecies
-        self%pusher(s)%pushSpecies = MOD(t, self%pusher(s)%every) == 0
+        self%pusher(s)%pushSpecies = MOD(timeStep, self%pusher(s)%every) == 0
 
       END DO
 
     END SUBROUTINE updatePushSpecies
 
     !Output the different data and information
-    SUBROUTINE doOutput(t)
+    SUBROUTINE doOutput()
       USE moduleMesh
       USE moduleOutput
       USE moduleSpecies
       USE moduleCompTime
       USE moduleProbe
+      USE moduleCaseParam, ONLY: timeStep
       IMPLICIT NONE
 
-      INTEGER, INTENT(in):: t
-
-      CALL outputProbes(t)
+      CALL outputProbes()
 
       counterOutput = counterOutput + 1
       IF (counterOutput >= triggerOutput .OR. &
-          t == tFinal .OR. t == tInitial) THEN
+          timeStep == tFinal .OR. timeStep == tInitial) THEN
 
         !Resets output counter
         counterOutput=0
 
-        CALL mesh%printOutput(t)
-        IF (ASSOCIATED(meshForMCC)) CALL meshForMCC%printColl(t)
-        CALL mesh%printEM(t)
-        WRITE(*, "(5X,A21,I10,A1,I10)") "t/tFinal: ", t, "/", tFinal
+        CALL mesh%printOutput()
+        IF (ASSOCIATED(meshForMCC)) CALL meshForMCC%printColl()
+        CALL mesh%printEM()
+        WRITE(*, "(5X,A21,I10,A1,I10)") "t/tFinal: ", timeStep, "/", tFinal
         WRITE(*, "(5X,A21,I10)")        "Particles: ", nPartOld
-        IF (t == 0) THEN
+        IF (timeStep == 0) THEN
           WRITE(*, "(5X,A21,F8.1,A2)")   "     init time: ",    1.D3*tStep, "ms"
 
         ELSE
@@ -549,34 +548,32 @@ MODULE moduleSolver
 
       counterCPUTime = counterCPUTime + 1
       IF (counterCPUTime >= triggerCPUTime .OR. &
-          t == tFinal .OR. t == tInitial) THEN
+          timeStep == tFinal .OR. timeStep == tInitial) THEN
 
         !Reset CPU Time counter
         counterCPUTime = 0
 
-        CALL printTime(t, t == 0)
+        CALL printTime(timeStep == 0)
 
       END IF
 
       !Output average values
-      IF (useAverage .AND. t == tFinal) THEN
+      IF (useAverage .AND. timeStep == tFinal) THEN
         CALL mesh%printAverage()
 
       END IF
 
     END SUBROUTINE doOutput
 
-    SUBROUTINE doAverage(t)
+    SUBROUTINE doAverage()
       USE moduleAverage
       USE moduleMesh
       IMPLICIT NONE
 
-      INTEGER, INTENT(in):: t
       INTEGER:: tAverage, n
 
-
       IF (useAverage) THEN
-        tAverage = t - tAverageStart
+        tAverage = timeStep - tAverageStart
 
         IF (tAverage == 1) THEN
           !First iteration in which average scheme is used

From 10dee05922e17d72258fbd432ed1c689f08571ba Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 12 Jul 2024 23:30:35 +0200
Subject: [PATCH 168/203] NOT WORKING: Compilation okay, but not Dirichlet BC

The code compiles but the right BC is not being applied to the vectorF.

I'll check this tomorrow.
---
 src/modules/init/moduleInput.f90              |  12 +-
 .../solver/electromagnetic/moduleEM.f90       | 126 ++++++++++++------
 2 files changed, 92 insertions(+), 46 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 6800ac1..eea1937 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -1148,8 +1148,8 @@ MODULE moduleInput
       CHARACTER(:), ALLOCATABLE:: typeEM
       REAL(8):: potential
       INTEGER:: physicalSurface
-      CHARACTER(:), ALLOCATABLE:: timeProfile
-      INTEGER:: b, e, s, n, ni
+      CHARACTER(:), ALLOCATABLE:: temporalProfile
+      INTEGER:: b, s, n, ni
       CHARACTER(2):: bString
       INTEGER:: info
       EXTERNAL:: dgetrf
@@ -1187,12 +1187,20 @@ MODULE moduleInput
 
           END IF
 
+          CALL config%get(object // '.temporalProfile', temporalProfile, found)
+          IF (.NOT. found) THEN
+            CALL criticalError('Required parameter "potential" for Dirichlet boundary condition not found', 'readEMBoundary')
+
+          END IF
+
           CALL config%get(object // '.physicalSurface', physicalSurface, found)
           IF (.NOT. found) THEN
             CALL criticalError('Required parameter "physicalSurface" for Dirichlet boundary condition not found', 'readEMBoundary')
 
           END IF
 
+          CALL initDirichletTime(boundaryEM(b)%obj, physicalSurface, potential, temporalProfile)
+
         CASE DEFAULT
           CALL criticalError('Boundary type ' // typeEM // ' not yet supported', 'readEMBoundary')
 
diff --git a/src/modules/solver/electromagnetic/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
index 30a23ad..b480330 100644
--- a/src/modules/solver/electromagnetic/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -66,20 +66,65 @@ MODULE moduleEM
   REAL(8), ALLOCATABLE:: qSpecies(:)
 
   CONTAINS
-    ! Initialize Dirichlet boundary condition
-    SUBROUTINE initDirichlet(self, physicalSurface, potential)
+    SUBROUTINE findNodes(self, physicalSurface)
       USE moduleMesh
-      USE moduleRefParam, ONLY: Volt_ref
       IMPLICIT NONE
 
-      CLASS(boundaryEMGeneric), ALLOCATABLE, INTENT(out):: self
-      INTEGER:: physicalSurface
-      REAL(8), INTENT(in):: potential
+      CLASS(boundaryEMGeneric), INTENT(inout):: self
+      INTEGER, INTENT(in):: physicalSurface
       CLASS(meshEdge), POINTER:: edge
       INTEGER, ALLOCATABLE:: nodes(:), nodesEdge(:)
       INTEGER:: nNodes, nodesNew
       INTEGER:: e, n
 
+      !Temporal array to hold nodes
+      ALLOCATE(nodes(0))
+
+      ! Loop thorugh the edges and identify those that are part of the boundary
+      DO e = 1, mesh%numEdges
+        edge => mesh%edges(e)%obj
+        IF (edge%physicalSurface == physicalSurface) THEN
+          ! Edge is of the right boundary index
+          ! Get nodes in the edge
+          nNodes = edge%nNodes
+          nodesEdge = edge%getNodes(nNodes)
+          ! Collect all nodes that are not already in the temporal array
+          DO n = 1, nNodes
+            IF (ANY(nodes == nodesEdge(n))) THEN
+              ! Node already in array, skip
+              CYCLE
+
+            ELSE
+              ! If not, add element to array of nodes
+              nodes = [nodes, nodesEdge(n)]
+
+            END IF
+
+          END DO
+
+        END IF
+
+      END DO
+
+      ! Point boundary to nodes
+      nNodes = SIZE(nodes)
+      ALLOCATE(self%nodes(nNodes))
+      DO n = 1, nNodes
+        self%nodes(n)%obj => mesh%nodes(nodes(n))%obj
+
+      END DO
+
+    END SUBROUTINE findNodes
+
+    ! Initialize Dirichlet boundary condition
+    SUBROUTINE initDirichlet(self, physicalSurface, potential)
+      USE moduleRefParam, ONLY: Volt_ref
+      IMPLICIT NONE
+
+      CLASS(boundaryEMGeneric), ALLOCATABLE, INTENT(out):: self
+      INTEGER, INTENT(in):: physicalSurface
+      REAL(8), INTENT(in):: potential
+
       ! Allocate boundary edge
       ALLOCATE(boundaryEMDirichlet:: self)
 
@@ -87,48 +132,39 @@ MODULE moduleEM
       TYPE IS(boundaryEMDirichlet)
         self%potential = potential / Volt_ref
 
-        !TODO: This is going into a function
-        !Temporal array to hold nodes
-        ALLOCATE(nodes(0))
-
-        ! Loop thorugh the edges and identify those that are part of the boundary
-        DO e = 1, mesh%numEdges
-          edge => mesh%edges(e)%obj
-          IF (edge%physicalSurface == physicalSurface) THEN
-            ! Edge is of the right boundary index
-            ! Get nodes in the edge
-            nNodes = edge%nNodes
-            nodesEdge = edge%getNodes(nNodes)
-            ! Collect all nodes that are not already in the temporal array
-            DO n = 1, nNodes
-              IF (ANY(nodes == nodesEdge(n))) THEN
-                ! Node already in array, skip
-                CYCLE
-
-              ELSE
-                ! If not, add element to array of nodes
-                nodes = [nodes, nodesEdge(n)]
-
-              END IF
-
-            END DO
-
-          END IF
-
-        END DO
-
-        ! Point boundary to nodes
-        nNodes = SIZE(nodes)
-        ALLOCATE(self%nodes(nNodes))
-        DO n = 1, nNodes
-          self%nodes(n)%obj => mesh%nodes(nodes(n))%obj
-
-        END DO
+        CALL findNodes(self, physicalSurface)
 
       END SELECT
 
     END SUBROUTINE initDirichlet
 
+    ! Initialize Dirichlet boundary condition
+    SUBROUTINE initDirichletTime(self, physicalSurface, potential, temporalProfile)
+      USE moduleRefParam, ONLY: Volt_ref, ti_ref
+      IMPLICIT NONE
+
+      CLASS(boundaryEMGeneric), ALLOCATABLE, INTENT(out):: self
+      INTEGER, INTENT(in):: physicalSurface
+      REAL(8), INTENT(in):: potential
+      CHARACTER(:), ALLOCATABLE, INTENT(in):: temporalProfile
+
+      ! Allocate boundary edge
+      ALLOCATE(boundaryEMDirichletTime:: self)
+
+      SELECT TYPE(self)
+      TYPE IS(boundaryEMDirichletTime)
+        self%potential = potential / Volt_ref
+
+        CALL findNodes(self, physicalSurface)
+
+        CALL self%temporalProfile%init(temporalProfile)
+
+        CALL self%temporalProfile%convert(1.D0/ti_ref, 1.D0)
+
+      END SELECT
+
+    END SUBROUTINE initDirichletTime
+
     !Apply Dirichlet boundary condition to the poisson equation
     SUBROUTINE applyDirichlet(self, vectorF)
       USE moduleMesh
@@ -140,6 +176,7 @@ MODULE moduleEM
 
       DO n = 1, self%nNodes
         self%nodes(n)%obj%emData%phi = self%potential
+        vectorF(self%nodes(n)%obj%n) = self%nodes(n)%obj%emData%phi
 
       END DO
 
@@ -156,7 +193,8 @@ MODULE moduleEM
       INTEGER:: n, ni
 
       DO n = 1, self%nNodes
-        self%nodes(n)%obj%emData%phi = self%potential
+        self%nodes(n)%obj%emData%phi = self%potential !TODO: Correct for time
+        vectorF(self%nodes(n)%obj%n) = self%nodes(n)%obj%emData%phi
 
       END DO
 

From 2d4b405fb10f203b72a456871ac7bba26c328c1c Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 13 Jul 2024 12:06:41 +0200
Subject: [PATCH 169/203] Functionality added

Now we have a new boundary condition that can change the value of the
potential in a surface based on a file.
---
 src/modules/init/moduleInput.f90              | 25 ++++++++++++-------
 .../solver/electromagnetic/moduleEM.f90       |  7 ++++--
 2 files changed, 21 insertions(+), 11 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index eea1937..b5f6881 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -1137,7 +1137,6 @@ MODULE moduleInput
       USE moduleOutput
       USE moduleErrors
       USE moduleEM
-      USE moduleRefParam
       USE moduleSpecies
       USE json_module
       IMPLICIT NONE
@@ -1148,7 +1147,7 @@ MODULE moduleInput
       CHARACTER(:), ALLOCATABLE:: typeEM
       REAL(8):: potential
       INTEGER:: physicalSurface
-      CHARACTER(:), ALLOCATABLE:: temporalProfile
+      CHARACTER(:), ALLOCATABLE:: temporalProfile, temporalProfilePath
       INTEGER:: b, s, n, ni
       CHARACTER(2):: bString
       INTEGER:: info
@@ -1156,11 +1155,14 @@ MODULE moduleInput
 
       CALL config%info('boundaryEM', found, n_children = nBoundaryEM)
       
-      IF (found) ALLOCATE(boundaryEM(1:nBoundaryEM))
+      IF (found) THEN
+        ALLOCATE(boundaryEM(1:nBoundaryEM))
+
+      END IF
       
       DO b = 1, nBoundaryEM
         WRITE(bString, '(I2)') b
-        object = 'boundaryEM(' // trim(bString) // ')'
+        object = 'boundaryEM(' // TRIM(bString) // ')'
 
         CALL config%get(object // '.type', typeEM, found)
 
@@ -1174,7 +1176,8 @@ MODULE moduleInput
 
           CALL config%get(object // '.physicalSurface', physicalSurface, found)
           IF (.NOT. found) THEN
-            CALL criticalError('Required parameter "physicalSurface" for Dirichlet boundary condition not found', 'readEMBoundary')
+            CALL criticalError('Required parameter "physicalSurface" for Dirichlet boundary condition not found', &
+                               'readEMBoundary')
 
           END IF
 
@@ -1183,23 +1186,27 @@ MODULE moduleInput
         CASE ("dirichletTime")
           CALL config%get(object // '.potential', potential, found)
           IF (.NOT. found) THEN
-            CALL criticalError('Required parameter "potential" for Dirichlet boundary condition not found', 'readEMBoundary')
+            CALL criticalError('Required parameter "potential" for Dirichlet Time boundary condition not found', &
+                               'readEMBoundary')
 
           END IF
 
           CALL config%get(object // '.temporalProfile', temporalProfile, found)
           IF (.NOT. found) THEN
-            CALL criticalError('Required parameter "potential" for Dirichlet boundary condition not found', 'readEMBoundary')
+            CALL criticalError('Required parameter "temporalProfile" for Dirichlet Time boundary condition not found', &
+                               'readEMBoundary')
 
           END IF
+          temporalProfilePath = path // temporalProfile
 
           CALL config%get(object // '.physicalSurface', physicalSurface, found)
           IF (.NOT. found) THEN
-            CALL criticalError('Required parameter "physicalSurface" for Dirichlet boundary condition not found', 'readEMBoundary')
+            CALL criticalError('Required parameter "physicalSurface" for Dirichlet Time boundary condition not found', &
+                               'readEMBoundary')
 
           END IF
 
-          CALL initDirichletTime(boundaryEM(b)%obj, physicalSurface, potential, temporalProfile)
+          CALL initDirichletTime(boundaryEM(b)%obj, physicalSurface, potential, temporalProfilePath)
 
         CASE DEFAULT
           CALL criticalError('Boundary type ' // typeEM // ' not yet supported', 'readEMBoundary')
diff --git a/src/modules/solver/electromagnetic/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
index b480330..703b31c 100644
--- a/src/modules/solver/electromagnetic/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -109,6 +109,7 @@ MODULE moduleEM
       ! Point boundary to nodes
       nNodes = SIZE(nodes)
       ALLOCATE(self%nodes(nNodes))
+      self%nNodes = nNodes
       DO n = 1, nNodes
         self%nodes(n)%obj => mesh%nodes(nodes(n))%obj
 
@@ -190,10 +191,13 @@ MODULE moduleEM
 
       CLASS(boundaryEMDirichletTime), INTENT(in):: self
       REAL(8), INTENT(inout):: vectorF(:)
+      REAL(8):: timeFactor
       INTEGER:: n, ni
 
+      timeFactor = self%temporalProfile%get(DBLE(timeStep)*tauMin)
+
       DO n = 1, self%nNodes
-        self%nodes(n)%obj%emData%phi = self%potential !TODO: Correct for time
+        self%nodes(n)%obj%emData%phi = self%potential * timeFactor
         vectorF(self%nodes(n)%obj%n) = self%nodes(n)%obj%emData%phi
 
       END DO
@@ -274,7 +278,6 @@ MODULE moduleEM
       ALLOCATE(tempF(1:mesh%numNodes))
       !$OMP END SINGLE
 
-      !TODO: Is this done every time step??? Then things are gonna be really simple.
       CALL assembleSourceVector(tempF)
 
       !$OMP SINGLE

From e4dfba45f8c109748bed005549fd540183543a70 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 13 Jul 2024 12:13:39 +0200
Subject: [PATCH 170/203] Manual updated

New dirichletTime condition is documented.
---
 doc/user-manual/fpakc_UserManual.pdf | Bin 186195 -> 187186 bytes
 doc/user-manual/fpakc_UserManual.tex |  18 +++++++++++++-----
 2 files changed, 13 insertions(+), 5 deletions(-)

diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index ef1494ac62b3a07c882225d34ac2998d565ae727..1666f42de4b56c9b9e049349df1126da6f6f973f 100644
GIT binary patch
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diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index 13be4cd..e572331 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -585,12 +585,20 @@ make
                                Type of boundary.
                                 Accepted values are:
                                \begin{itemize}
-                                 \item \textbf{dirichlet}: Elastic reflection of particles.
+                                 \item \textbf{dirichlet}: Constant value of electric potential on the surface.
+                                 \item \textbf{dirichletTime}: Constant value of the electric potential with a time variable profile.
+                                                               The value of \textbf{boundaryEM.potential} will be multiplied for the corresponding value in the file \textbf{boundaryEM.temporalProfile}.
                                 \end{itemize}
-           \item \textbf{potential}: Real.
-                                     Fixed potential for Dirichlet boundary condition.
+          \item \textbf{potential}: Real.
+                                    Fixed potential for Dirichlet boundary condition.
           \item \textbf{physicalSurface}: Integer.
                                           Identification of the edge in the mesh file.
+          \item \textbf{temporalProfile}: Character.
+                                          Filename of the 2 column file containing the time variable profile.
+                                          File must be located in \textbf{output.path}.
+                                          The first column is the time in $\unit{s}$.
+                                          The second column is the factor that will multiply the value of the boundary.
+        
         \end{itemize}
       
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -611,7 +619,7 @@ make
                                 \begin{itemize}
                                   \item \textbf{A}: Ampere.
                                   \item \textbf{Am2}: Ampere per square meter.
-                                                      This value will be multiplied by the surface of injection.
+                                                      This value will be multiplied by the area of injection.
                                   \item \textbf{sccm}: Standard cubic centimetre.
                                   \item \textbf{part/s}: Particles (real) per second.
                                 \end{itemize}
@@ -717,7 +725,7 @@ make
                                                          Output file from previous run used as an initial state for the species.
                                                          The file format must be the same as in \textbf{geometry.meshType}
                                                          Initial particles are assumed to have a Maxwellian distribution.
-                                                         File must be located at \textbf{output.path}.
+                                                         File must be located in \textbf{output.path}.
                                     \item \textbf{particlesPerCell}: Integer.
                                                                      Optional.
                                                                      Initial number of particles per cell.

From 6f185c418846a518a1afb338e71ab3204b869188 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 13 Jul 2024 12:35:42 +0200
Subject: [PATCH 171/203] Organizing things

Move the array of pointers to the nodes to moduleMesh.
---
 src/modules/mesh/moduleMesh.f90                 | 7 +++++++
 src/modules/solver/electromagnetic/moduleEM.f90 | 8 --------
 2 files changed, 7 insertions(+), 8 deletions(-)

diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index f933dd1..7ab3914 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -59,6 +59,13 @@ MODULE moduleMesh
 
   END TYPE meshNodeCont
 
+  ! Array of pointers to nodes.
+  TYPE:: meshNodePointer
+    CLASS(meshNode), POINTER:: obj
+    CONTAINS
+
+  END TYPE meshNodePointer
+
   !Type for array of boundary functions (one per species)
   TYPE, PUBLIC:: fBoundaryGeneric
     PROCEDURE(boundary_interface), POINTER, NOPASS:: apply => NULL()
diff --git a/src/modules/solver/electromagnetic/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
index 703b31c..126f9a6 100644
--- a/src/modules/solver/electromagnetic/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -4,14 +4,6 @@ MODULE moduleEM
   USE moduleTable
   IMPLICIT NONE
 
-  ! Array of pointers to nodes.
-  !TODO: This is probably better in moduleMesh as multiple modules could use this.
-  TYPE:: meshNodePointer
-    CLASS(meshNode), POINTER:: obj
-    CONTAINS
-
-  END TYPE meshNodePointer
-
   ! Generic type for electromagnetic boundary conditions
   TYPE, PUBLIC, ABSTRACT:: boundaryEMGeneric
     INTEGER:: nNodes

From 98ee3e9c9c38ec6d461c50268a44a99912c8eb70 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Mon, 30 Sep 2024 17:06:25 +0200
Subject: [PATCH 172/203] Still not working, but will be fixed

I have the solution in the plasma expansion code, but I need to do other
stuff.
---
 src/modules/moduleInject.f90                  |  3 +-
 .../solver/electromagnetic/moduleEM.f90       | 50 +++++++++----------
 2 files changed, 26 insertions(+), 27 deletions(-)

diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 4e57083..496ea6a 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -108,7 +108,8 @@ MODULE moduleInject
 
       CASE ("A")
         !Input current in Ampers
-        self%nParticles = INT(flow*tauInject*ti_ref/(qe*species(sp)%obj%weight))
+        ! TODO: Make this only available for charge species
+        self%nParticles = INT(flow*tauInject*ti_ref/(qe*abs(species(sp)%obj%qm*species(sp)%obj%m)*species(sp)%obj%weight))
 
       CASE ("part/s")
         !Input current in Ampers
diff --git a/src/modules/solver/electromagnetic/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
index 0f02bed..a8a5323 100644
--- a/src/modules/solver/electromagnetic/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -46,7 +46,7 @@ MODULE moduleEM
 
       END DO
 
-    END SUBROUTINE
+    END SUBROUTINE apply
 
     !Assemble the source vector based on the charge density to solve Poisson's equation
     SUBROUTINE assembleSourceVector(vectorF, n_e)
@@ -169,25 +169,16 @@ MODULE moduleEM
       INTEGER, INTENT(in):: n
       REAL(8), INTENT(in):: phi(1:n)
       REAL(8):: n_e(1:n)
-      REAL(8):: n_e0 = 1.0D16, phi_0 = -520.0D0, T_e = 11604.0
+      REAL(8):: n_e0 = 1.0D16, phi_0 = -500.0D0, T_e = 11604.0
       INTEGER:: i
 
-      DO i =1, n 
-        IF (phi(i)*Volt_ref >= phi_0) THEN
-          n_e(i) = n_e0 / n_ref * EXP(-qe * (phi(i)*Volt_ref - phi_0) / (kb * T_e))
-
-        ELSE
-          n_e(i) = 0.D0
-
-        END IF
-
-      END DO
+      n_e = n_e0 / n_ref * exp(qe * (phi*Volt_ref - phi_0) / (kb * T_e))
 
       RETURN
 
     END FUNCTION BoltzmannElectron
 
-    SUBROUTINE solveElecFieldBoltzmann
+    SUBROUTINE solveElecFieldBoltzmann()
       USE moduleMesh
       USE moduleErrors
       IMPLICIT NONE
@@ -195,7 +186,7 @@ MODULE moduleEM
       INTEGER, SAVE:: INFO
       INTEGER:: n
       REAL(8), ALLOCATABLE, SAVE:: tempF(:)
-      REAL(8), ALLOCATABLE, SAVE:: n_e(:), phi_old(:)
+      REAL(8), ALLOCATABLE, SAVE:: n_e(:), phi_old(:), phi(:)
       INTEGER:: k
       EXTERNAL:: dgetrs
 
@@ -203,22 +194,29 @@ MODULE moduleEM
       ALLOCATE(tempF(1:mesh%numNodes))
       ALLOCATE(n_e(1:mesh%numNodes))
       ALLOCATE(phi_old(1:mesh%numNodes))
-      n_e = 0.D0
-      CALL assembleSourceVector(tempF, n_e)
-
+      ALLOCATE(phi(1:mesh%numNodes))
       !$OMP END SINGLE
 
+      !$OMP DO
+      DO n = 1, mesh%numNodes
+        phi_old(n) = mesh%nodes(n)%obj%emData%phi
+
+      END DO
+      !$OMP END DO
+
       !$OMP SINGLE
-      DO k = 1, 10
-        phi_old = tempF
+      DO k = 1, 100
+        n_e = BoltzmannElectron(phi_old, mesh%numNodes)
+        CALL assembleSourceVector(tempF, n_e)
+
         CALL dgetrs('N', mesh%numNodes, 1, mesh%K, mesh%numNodes, &
                                 mesh%IPIV, tempF,  mesh%numNodes, info)
+        phi = tempF
 
-        PRINT *, MAXVAL(n_e),   MINVAL(n_e)
-        PRINT *, MAXVAL(tempF), MINVAL(tempF)
-        PRINT*, k, "diff = ", MAXVAL(ABS(tempF - phi_old))
-        n_e = BoltzmannElectron(tempF, mesh%numNodes)
-        CALL assembleSourceVector(tempF, n_e)
+        PRINT *, MAXVAL(n_e), MINVAL(n_e)
+        PRINT *, MAXVAL(phi), MINVAL(phi)
+        PRINT*, k, "diff = ", MAXVAL(ABS(phi - phi_old))
+        phi_old = phi
 
       END DO
       !$OMP END SINGLE
@@ -227,7 +225,7 @@ MODULE moduleEM
         !Suscessful resolution of Poission equation
         !$OMP DO
         DO n = 1, mesh%numNodes
-          mesh%nodes(n)%obj%emData%phi = tempF(n)
+          mesh%nodes(n)%obj%emData%phi = phi_old(n)
 
         END DO
         !$OMP END DO
@@ -240,7 +238,7 @@ MODULE moduleEM
       END IF
 
       !$OMP SINGLE
-      DEALLOCATE(tempF, n_e, phi_old)
+      DEALLOCATE(tempF, n_e, phi_old, phi)
       !$OMP END SINGLE
 
     END SUBROUTINE solveElecFieldBoltzmann

From 2af10acd70850359cf6bfa3fcf1828885271cced Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Sun, 13 Oct 2024 13:32:57 +0200
Subject: [PATCH 173/203] Issue with injecting current

Values were not right in 1D geometry. Fixed.
---
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 |  2 +-
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   |  2 +-
 src/modules/moduleInject.f90                 | 19 +++++++++++++++++--
 3 files changed, 19 insertions(+), 4 deletions(-)

diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index f400ab0..bbc72e2 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -123,7 +123,7 @@ MODULE moduleMesh1DCart
 
       self%x = r1(1)
 
-      self%surface = 1.D0 / L_ref**2
+      self%surface = 1.D0
 
       self%normal = (/ 1.D0, 0.D0, 0.D0 /)
 
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index fd617bd..e260900 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -123,7 +123,7 @@ MODULE moduleMesh1DRad
 
       self%r = r1(1)
 
-      self%surface = 1.D0 / L_ref**2
+      self%surface = 1.D0
 
       self%normal = (/ 1.D0, 0.D0, 0.D0 /)
 
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 18c7fbb..4f4d23c 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -159,11 +159,26 @@ MODULE moduleInject
 
       CASE ("A")
         !Current in Ampers
-        fluxPerStep = flow/qe
+        SELECT TYPE(sp => self%species)
+        CLASS IS(speciesCharged)
+          fluxPerStep = flow/(qe*abs(sp%q))
+
+        CLASS DEFAULT
+          call criticalError('Attempted to assign a flux in "A" to a species without charge.', 'initInject')
+
+        END SELECT
 
       CASE ("Am2")
         !Input current in Ampers per square meter
-        fluxPerStep = flow*self%surface*L_ref**2/qe
+        SELECT TYPE(sp => self%species)
+        CLASS IS(speciesCharged)
+          fluxPerStep = flow*self%surface*L_ref**2/(qe*abs(sp%q))
+
+        CLASS DEFAULT
+          call criticalError('Attempted to assign a flux in "Am2" to a species without charge.', 'initInject')
+
+        END SELECT
+
 
       CASE ("part/s")
         !Input current in Ampers

From d28dd16c2e14c42c0ce712b05f33ecbf6a1afd01 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Thu, 17 Jul 2025 18:34:11 +0200
Subject: [PATCH 174/203] Average fix and data for Xe

---
 data/collisions/IO_e-Xe.dat      | 52 ++++++++++++++++++++++++++++++++
 src/modules/init/moduleInput.f90 |  6 +++-
 2 files changed, 57 insertions(+), 1 deletion(-)
 create mode 100644 data/collisions/IO_e-Xe.dat

diff --git a/data/collisions/IO_e-Xe.dat b/data/collisions/IO_e-Xe.dat
new file mode 100644
index 0000000..3067578
--- /dev/null
+++ b/data/collisions/IO_e-Xe.dat
@@ -0,0 +1,52 @@
+# EL cross sections extracted from PROGRAM MAGBOLTZ, VERSION 7.1 JUNE 2004 www.lxcat.net/Biagi-v7.1
+# Relative energy (eV) cross section (m^2)
+1.21E+01 0
+1.41E+01 3.923E-21
+1.64E+01 1.194E-20
+1.91E+01 2.1E-20
+2.22E+01 2.946E-20
+2.58E+01 3.65E-20
+3.00E+01 4.185E-20
+3.49E+01 4.552E-20
+4.06E+01 4.766E-20
+4.72E+01 4.85E-20
+5.49E+01 4.828E-20
+6.39E+01 5.031E-20
+7.43E+01 5.1E-20
+8.64E+01 5.1E-20
+1.01E+02 5.032E-20
+1.17E+02 4.906E-20
+1.36E+02 4.732E-20
+1.58E+02 4.521E-20
+1.84E+02 4.283E-20
+2.14E+02 4.029E-20
+2.49E+02 3.764E-20
+2.90E+02 3.497E-20
+3.37E+02 3.233E-20
+3.92E+02 2.975E-20
+4.56E+02 2.726E-20
+5.31E+02 2.489E-20
+6.17E+02 2.266E-20
+7.18E+02 2.056E-20
+8.35E+02 1.861E-20
+9.72E+02 1.68E-20
+1.13E+03 1.514E-20
+1.32E+03 1.361E-20
+1.53E+03 1.221E-20
+1.78E+03 1.094E-20
+2.07E+03 9.781E-21
+2.41E+03 8.735E-21
+2.80E+03 7.789E-21
+3.26E+03 6.938E-21
+3.79E+03 6.171E-21
+4.41E+03 5.484E-21
+5.13E+03 4.868E-21
+5.97E+03 4.316E-21
+6.94E+03 3.824E-21
+8.07E+03 3.385E-21
+9.39E+03 2.994E-21
+1.09E+04 2.646E-21
+1.27E+04 2.336E-21
+1.48E+04 2.062E-21
+1.72E+04 1.818E-21
+2.00E+04 1.602E-21
diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 5090942..18c6e65 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -1331,6 +1331,7 @@ MODULE moduleInput
       USE moduleCaseParam, ONLY: tauMin
       USE moduleMesh, ONLY: mesh
       USE moduleSpecies, ONLY: nSpecies
+      USE moduleRefParam, ONLY: ti_ref
       IMPLICIT NONE
 
       TYPE(json_file), INTENT(inout):: config
@@ -1344,8 +1345,11 @@ MODULE moduleInput
         CALL config%get('average.startTime', tStart, found)
 
         IF (found) THEN
-          tAverageStart = INT(tStart / tauMin)
+          tAverageStart = INT(tStart / ti_ref / tauMin)
 
+        ELSE
+          tAverageStart = 0
+          
         END IF
 
         ALLOCATE(averageScheme(1:mesh%numNodes))

From a2f9957f32219725485e77a03a7475854d96a213 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 18 Jul 2025 16:31:52 +0200
Subject: [PATCH 175/203] I am dumb

The Poisson equation was not working because I didn't finish
implementing the new type of BCs. Dirichlet is probably untested. I
should stop doing shitty developments and no testing.
---
 src/modules/output/moduleOutput.f90           |  1 -
 .../solver/electromagnetic/moduleEM.f90       | 33 ++++++++-----------
 2 files changed, 13 insertions(+), 21 deletions(-)

diff --git a/src/modules/output/moduleOutput.f90 b/src/modules/output/moduleOutput.f90
index e6dc91f..2af3c70 100644
--- a/src/modules/output/moduleOutput.f90
+++ b/src/modules/output/moduleOutput.f90
@@ -22,7 +22,6 @@ MODULE moduleOutput
 
   !Type for EM data in node
   TYPE emNode
-    CHARACTER(:), ALLOCATABLE:: type
     REAL(8):: phi
     REAL(8):: B(1:3)
 
diff --git a/src/modules/solver/electromagnetic/moduleEM.f90 b/src/modules/solver/electromagnetic/moduleEM.f90
index 740fd14..7f6891c 100644
--- a/src/modules/solver/electromagnetic/moduleEM.f90
+++ b/src/modules/solver/electromagnetic/moduleEM.f90
@@ -11,7 +11,6 @@ MODULE moduleEM
 
     CONTAINS
       PROCEDURE(applyEM_interface), DEFERRED, PASS:: apply
-      !PROCEDURE, PASS:: update !only for time dependent boundary conditions or maybe change apply????? That might be better.
 
   END TYPE boundaryEMGeneric
 
@@ -168,8 +167,8 @@ MODULE moduleEM
       INTEGER:: n, ni
 
       DO n = 1, self%nNodes
-        self%nodes(n)%obj%emData%phi = self%potential
-        vectorF(self%nodes(n)%obj%n) = self%nodes(n)%obj%emData%phi
+        self%nodes(n)%obj%emData%phi  = self%potential
+        vectorF(self%nodes(n)%obj%n)  = self%nodes(n)%obj%emData%phi
 
       END DO
 
@@ -189,8 +188,8 @@ MODULE moduleEM
       timeFactor = self%temporalProfile%get(DBLE(timeStep)*tauMin)
 
       DO n = 1, self%nNodes
-        self%nodes(n)%obj%emData%phi = self%potential * timeFactor
-        vectorF(self%nodes(n)%obj%n) = self%nodes(n)%obj%emData%phi
+        self%nodes(n)%obj%emData%phi  = self%potential * timeFactor
+        vectorF(self%nodes(n)%obj%n)  = self%nodes(n)%obj%emData%phi
 
       END DO
 
@@ -211,11 +210,11 @@ MODULE moduleEM
       INTEGER:: e, i, ni, b
       CLASS(meshNode), POINTER:: node
 
-      ! !$OMP SINGLE
+      !$OMP SINGLE
       vectorF = 0.D0
-      ! !$OMP END SINGLE
+      !$OMP END SINGLE
 
-      ! !$OMP DO REDUCTION(+:vectorF)
+      !$OMP DO REDUCTION(+:vectorF)
       DO e = 1, mesh%numCells
         nNodes = mesh%cells(e)%obj%nNodes
         nodes  = mesh%cells(e)%obj%getNodes(nNodes)
@@ -247,21 +246,15 @@ MODULE moduleEM
         DEALLOCATE(nodes, rho)
 
       END DO
-      ! !$OMP END DO
+      !$OMP END DO
 
       !Apply boundary conditions
-      ! !$OMP DO
-      DO i = 1, mesh%numNodes
-        node => mesh%nodes(i)%obj
+      !$OMP SINGLE
+      do b = 1, nBoundaryEM
+        call boundaryEM(b)%obj%apply(vectorF)
 
-        SELECT CASE(node%emData%type)
-        CASE ("dirichlet")
-          vectorF(i) = node%emData%phi
-
-        END SELECT
-
-      END DO
-      ! !$OMP END DO
+      end do
+      !$OMP END SINGLE
 
     END SUBROUTINE assembleSourceVector
 

From 69215ef66d52557f84232c8ffedd906d0cb2bc90 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez - Galactica <jorge.gonzalez@upm.es>
Date: Tue, 22 Jul 2025 19:52:39 +0200
Subject: [PATCH 176/203] Change in calculating ionization

I don't know why I normalizing density n_0 by Vol_ref and not n_ref
---
 src/modules/moduleBoundary.f90 | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/modules/moduleBoundary.f90 b/src/modules/moduleBoundary.f90
index 0b76105..b5bda2f 100644
--- a/src/modules/moduleBoundary.f90
+++ b/src/modules/moduleBoundary.f90
@@ -126,7 +126,7 @@ MODULE moduleBoundary
       SELECT TYPE(boundary)
       TYPE IS(boundaryIonization)
         boundary%m0 = m0 / m_ref
-        boundary%n0 = n0 * Vol_ref
+        boundary%n0 = n0 / n_ref
         boundary%v0 = v0 / v_ref
         boundary%vTh = DSQRT(kb*T0/m0)/v_ref
         boundary%species => species(ion)%obj

From 7f73b69dc2f42933344d75e887a63a76697e9c89 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 27 Jul 2025 17:14:38 +0200
Subject: [PATCH 177/203] Fix injection

Half-Maxwellian distribution should inject particles correctly
---
 src/modules/common/moduleRandom.f90 | 17 +++++++++++++++++
 src/modules/moduleInject.f90        |  5 +----
 2 files changed, 18 insertions(+), 4 deletions(-)

diff --git a/src/modules/common/moduleRandom.f90 b/src/modules/common/moduleRandom.f90
index ae5c548..7d9cec6 100644
--- a/src/modules/common/moduleRandom.f90
+++ b/src/modules/common/moduleRandom.f90
@@ -66,6 +66,23 @@ MODULE moduleRandom
 
     END FUNCTION randomMaxwellian
 
+    !Returns a random number in a Maxwellian distribution of mean 0 and width 1
+    FUNCTION randomHalfMaxwellian() RESULT(rnd)
+      IMPLICIT NONE
+
+      REAL(8):: rnd
+      REAL(8):: x
+
+      rnd = 0.D0
+      x = 0.D0
+      DO WHILE (x == 0.D0)
+        CALL RANDOM_NUMBER(x)
+      END DO
+
+      rnd = DSQRT(-DLOG(x))
+
+    END FUNCTION randomHalfMaxwellian
+
     !Returns a random number weighted with the cumWeight array
     FUNCTION randomWeighted(cumWeight, sumWeight) RESULT(rnd)
       IMPLICIT NONE
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index b4e0ed2..b6fc64b 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -298,10 +298,7 @@ MODULE moduleInject
       REAL(8):: v
       v = 0.D0
 
-      DO WHILE (v <= 0.D0)
-        v = self%vTh*randomMaxwellian()
-
-      END DO
+      v = self%vTh*randomHalfMaxwellian()
 
     END FUNCTION randomVelHalfMaxwellian
 

From 8e531ede08bea0d68863279b17d459fa155b1aaa Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 27 Jul 2025 17:16:57 +0200
Subject: [PATCH 178/203] Vol_ref was the right answer

---
 src/modules/moduleBoundary.f90 | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/modules/moduleBoundary.f90 b/src/modules/moduleBoundary.f90
index b5bda2f..0b76105 100644
--- a/src/modules/moduleBoundary.f90
+++ b/src/modules/moduleBoundary.f90
@@ -126,7 +126,7 @@ MODULE moduleBoundary
       SELECT TYPE(boundary)
       TYPE IS(boundaryIonization)
         boundary%m0 = m0 / m_ref
-        boundary%n0 = n0 / n_ref
+        boundary%n0 = n0 * Vol_ref
         boundary%v0 = v0 / v_ref
         boundary%vTh = DSQRT(kb*T0/m0)/v_ref
         boundary%species => species(ion)%obj

From d1e73297eb9f51a6586c78e07bb53dc39ed8c4ea Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 27 Jul 2025 18:17:01 +0200
Subject: [PATCH 179/203] Adjust flux when no particlesPerEdge is used

This does not affects the cases of the IEPC, but I am also doing other
stuff.
---
 src/modules/moduleInject.f90 | 12 ++++++++----
 1 file changed, 8 insertions(+), 4 deletions(-)

diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index b6fc64b..000823e 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -199,17 +199,21 @@ MODULE moduleInject
 
         END DO
 
+        self%nParticles = SUM(self%particlesPerEdge)
+
       ELSE
         ! No particles assigned per edge, use the species weight
         self%weightPerEdge = self%species%weight
         DO et = 1, self%nEdges
-          self%particlesPerEdge(et) = FLOOR(fluxPerStep*mesh%edges(self%edges(et))%obj%surface /self%species%weight)
-
+          self%particlesPerEdge(et) = max(1,FLOOR(fluxPerStep*mesh%edges(self%edges(et))%obj%surface / self%species%weight))
         END DO
 
-      END IF
+        self%nParticles = SUM(self%particlesPerEdge)
 
-      self%nParticles = SUM(self%particlesPerEdge)
+        !Rescale weight to match flux
+        self%weightPerEdge = fluxPerStep * self%surface / (real(self%nParticles))
+
+      END IF
 
       !Scale particles for different species steps
       IF (self%nParticles == 0) CALL criticalError("The number of particles for inject is 0.", 'initInject')

From 78cb9a245335ce68720c5f3e13cf97c7ccc0139c Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez - Galactica <jorge.gonzalez@upm.es>
Date: Sat, 2 Aug 2025 10:31:06 +0200
Subject: [PATCH 180/203] No reflection of particles at injection, that should
 be a boundary condition

---
 src/modules/moduleInject.f90 | 6 ------
 1 file changed, 6 deletions(-)

diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 000823e..4fb855a 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -385,12 +385,6 @@ MODULE moduleInject
                                                    self%v(2)%obj%randomVel(), &
                                                    self%v(3)%obj%randomVel() /)
 
-          !If velocity is not in the right direction, invert it
-          IF (DOT_PRODUCT(direction, partInj(n)%v) < 0.D0) THEN
-            partInj(n)%v = - partInj(n)%v
-
-          END IF
-
           !Obtain natural coordinates of particle in cell
           partInj(n)%Xi = mesh%cells(partInj(n)%cell)%obj%phy2log(partInj(n)%r)
           !Push new particle with the minimum time step

From 4b040c35c39064c0832dbc6631dc99b2385ed263 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 2 Aug 2025 13:25:48 +0200
Subject: [PATCH 181/203] Fixes to random variables

After reading some works and reviewing what I had, I've done some
corrections to how the randomb velicities in Maxwellian distributions
are calculated. These should be correct now.
---
 src/modules/common/moduleRandom.f90 | 19 ++++++++++---------
 src/modules/moduleInject.f90        |  4 ++--
 2 files changed, 12 insertions(+), 11 deletions(-)

diff --git a/src/modules/common/moduleRandom.f90 b/src/modules/common/moduleRandom.f90
index 7d9cec6..156f5e4 100644
--- a/src/modules/common/moduleRandom.f90
+++ b/src/modules/common/moduleRandom.f90
@@ -47,22 +47,23 @@ MODULE moduleRandom
 
     END FUNCTION randomIntAB
 
-    !Returns a random number in a Maxwellian distribution of mean 0 and width 1
+    !Returns a random number in a Maxwellian distribution of mean 0 and width 1 with the Box-Muller Method
     FUNCTION randomMaxwellian() RESULT(rnd)
       USE moduleConstParam, ONLY: PI
       IMPLICIT NONE
 
       REAL(8):: rnd
-      REAL(8):: x, y
+      REAL(8):: v1, v2, Rsquare
 
-      rnd = 0.D0
-      x = 0.D0
-      DO WHILE (x == 0.D0)
-        CALL RANDOM_NUMBER(x)
-      END DO
-      CALL RANDOM_NUMBER(y)
+      Rsquare = 1.D0
+      do while (Rsquare >= 1.D0 .and. Rsquare > 0.D0)
+        v1 = 2.D0 * random() - 1.D0
+        v2 = 2.D0 * random() - 1.D0
+        Rsquare = v1**2 + v2**2
 
-      rnd = DSQRT(-2.D0*DLOG(x))*DCOS(2.D0*PI*y)
+      end do
+
+      rnd = v2 * sqrt(-2.D0 * log(Rsquare) / Rsquare)
 
     END FUNCTION randomMaxwellian
 
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 4fb855a..5e72835 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -289,7 +289,7 @@ MODULE moduleInject
       REAL(8):: v
       v = 0.D0
 
-      v = self%vTh*randomMaxwellian()
+      v = sqrt(2.0)*self%vTh*randomMaxwellian()
 
     END FUNCTION randomVelMaxwellian
 
@@ -302,7 +302,7 @@ MODULE moduleInject
       REAL(8):: v
       v = 0.D0
 
-      v = self%vTh*randomHalfMaxwellian()
+      v = sqrt(2.0)*self%vTh*randomHalfMaxwellian()
 
     END FUNCTION randomVelHalfMaxwellian
 

From d86c8480f3cc772bd7bac19c4eb3e921a86fe32d Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez - Galactica <jorge.gonzalez@upm.es>
Date: Sat, 2 Aug 2025 16:51:00 +0200
Subject: [PATCH 182/203] Fixed issue with some velocities. Still, at some
 point I need to rething all the injection thing.

---
 src/modules/moduleInject.f90 | 7 +++++++
 1 file changed, 7 insertions(+)

diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 5e72835..2a2c393 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -385,6 +385,13 @@ MODULE moduleInject
                                                    self%v(2)%obj%randomVel(), &
                                                    self%v(3)%obj%randomVel() /)
 
+          !If injecting a no-drift distribution and velocity is negative, reflect
+          if ((self%vMod == 0.D0) .and. &
+              (dot_product(direction, partInj(n)%v) < 0.D0)) then
+            partInj(n)%v = - partInj(n)%v
+
+          end if
+
           !Obtain natural coordinates of particle in cell
           partInj(n)%Xi = mesh%cells(partInj(n)%cell)%obj%phy2log(partInj(n)%r)
           !Push new particle with the minimum time step

From 7e193b9fa8133a105326c4e96c5f1b32779ebcb8 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 3 Aug 2025 15:32:55 +0200
Subject: [PATCH 183/203] Minor changes, no improvement made yet

---
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 2 ++
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   | 4 ++--
 src/modules/solver/moduleSolver.f90          | 1 +
 3 files changed, 5 insertions(+), 2 deletions(-)

diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index dbc8b25..c7308bf 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -701,6 +701,8 @@ MODULE moduleMesh2DCart
       pDer(2, 1:2) = (/ DOT_PRODUCT(dPsi(1,1:3),self%y(1:3)), &
                         DOT_PRODUCT(dPsi(2,1:3),self%y(1:3)) /)
 
+      pDer(3,3) = 1.D0
+
     END FUNCTION partialDerTria
 
     !Gather electric field at position Xi
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index ae1eb92..bb94440 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -705,8 +705,8 @@ MODULE moduleMesh2DCyl
 
       dPsi = 0.D0
 
-      dPsi(1,:) = (/ -1.D0, 1.D0, 0.D0 /)
-      dPsi(2,:) = (/ -1.D0, 0.D0, 1.D0 /)
+      dPsi(1,1:3) = (/ -1.D0, 1.D0, 0.D0 /)
+      dPsi(2,1:3) = (/ -1.D0, 0.D0, 1.D0 /)
 
     END FUNCTION dPsiTria
 
diff --git a/src/modules/solver/moduleSolver.f90 b/src/modules/solver/moduleSolver.f90
index f85d812..df8d5e8 100644
--- a/src/modules/solver/moduleSolver.f90
+++ b/src/modules/solver/moduleSolver.f90
@@ -140,6 +140,7 @@ MODULE moduleSolver
 
       CASE('ElectrostaticBoltzmann')
         self%solveEM => solveElecFieldBoltzmann
+
       END SELECT
 
     END SUBROUTINE initEM

From 102fd013f3d30f39b425806bd1968d9d233de7b7 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 3 Aug 2025 20:46:12 +0200
Subject: [PATCH 184/203] Issue with triangles fixed

Now they give the right electric field.

I have to change 2DCyl.

However, there was some insonsistency between the change of coordinates in phy2log and the Jacobian for the K matrix. I fixed it putting a transpose() in phy2log, but I don't like that solution.

I need to review the basic procedure of phy2log.
---
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 10 +++++-----
 1 file changed, 5 insertions(+), 5 deletions(-)

diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index c7308bf..eb834e5 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -520,7 +520,7 @@ MODULE moduleMesh2DCart
         fPsi = self%fPsi(XiO, 4)
         f(1:2) = (/ DOT_PRODUCT(fPsi,self%x), &
                     DOT_PRODUCT(fPsi,self%y) /) - r(1:2)
-        Xi = XiO - MATMUL(invJ, f)/detJ
+        Xi = XiO - MATMUL(transpose(invJ), f)/detJ
         conv = MAXVAL(DABS(Xi-XiO),1)
         XiO = Xi
 
@@ -831,14 +831,14 @@ MODULE moduleMesh2DCart
       REAL(8):: deltaR(1:3)
       REAL(8):: dPsi(1:3, 1:3)
       REAL(8):: pDer(1:3, 1:3)
-      REAL(8):: invJ(1:3,  1:3), detJ
+      REAL(8):: invJ(1:3, 1:3), detJ
 
       !Direct method to convert coordinates
       Xi     = 0.D0
       deltaR = (/ r(1) - self%x(1), r(2) - self%y(1), 0.D0 /)
       dPsi   = self%dPsi(Xi, 3)
       pDer   = self%partialDer(3, dPsi)
-      invJ   = self%invJac(pDer)
+      invJ   = transpose(self%invJac(pDer))
       detJ   = self%detJac(pDer)
       Xi     = MATMUL(invJ,deltaR)/detJ
 
@@ -915,8 +915,8 @@ MODULE moduleMesh2DCart
 
       invJ = 0.D0
 
-      invJ(1, 1:2) = (/  pDer(2,2), -pDer(1,2) /)
-      invJ(2, 1:2) = (/ -pDer(2,1),  pDer(1,1) /)
+      invJ(1, 1:2) = (/  pDer(2,2), -pDer(2,1) /)
+      invJ(2, 1:2) = (/ -pDer(1,2),  pDer(1,1) /)
       invJ(3, 3)   = 1.D0
 
     END FUNCTION invJ2DCart

From 3d7b1ce476a804d45fce35fbcb7a20d64c6d3186 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sun, 3 Aug 2025 22:14:19 +0200
Subject: [PATCH 185/203] Fixed!

So it seems that rectangles and triangles are now working properly.

I have also checked the phy2log routine, now it seems a bit more complicated, but it is much clearer.
Maybe in the future is worth rethinking to improve speed (specially for quad elements)
---
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 58 ++++++++++----------
 src/modules/mesh/2DCyl/moduleMesh2DCyl.f90   | 56 ++++++++++---------
 2 files changed, 58 insertions(+), 56 deletions(-)

diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index eb834e5..126d40c 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -495,34 +495,36 @@ MODULE moduleMesh2DCart
 
     END FUNCTION insideQuad
 
-    !Transform physical coordinates to element coordinates
+    !Transform physical coordinates to element coordinates with a Taylor series
     PURE FUNCTION phy2logQuad(self,r) RESULT(Xi) 
       IMPLICIT NONE
 
       CLASS(meshCell2DCartQuad), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: Xi(1:3)
-      REAL(8):: XiO(1:3), detJ, invJ(1:3,1:3), f(1:3)
+      REAL(8):: Xi0(1:3), detJ, pDerInv(1:2,1:2), deltaR(1:2), x0(1:2)
       REAL(8):: dPsi(1:3,1:4), fPsi(1:4)
       REAL(8):: pDer(1:3, 1:3)
       REAL(8):: conv
 
       !Iterative newton method to transform coordinates
-      conv = 1.D0
-      XiO  = 0.D0
+      conv  = 1.D0
+      Xi0   = 0.D0
+      Xi(3) = 0.D0
 
-      f(3) = 0.D0
       DO WHILE(conv > 1.D-4)
-        dPsi = self%dPsi(XiO, 4)
-        pDer = self%partialDer(4, dPsi)
-        detJ = self%detJac(pDer)
-        invJ = self%invJac(pDer)
-        fPsi = self%fPsi(XiO, 4)
-        f(1:2) = (/ DOT_PRODUCT(fPsi,self%x), &
-                    DOT_PRODUCT(fPsi,self%y) /) - r(1:2)
-        Xi = XiO - MATMUL(transpose(invJ), f)/detJ
-        conv = MAXVAL(DABS(Xi-XiO),1)
-        XiO = Xi
+        fPsi           = self%fPsi(Xi0, 4)
+        x0(1)          = dot_product(fPsi, self%x)
+        x0(2)          = dot_product(fPsi, self%y)
+        deltaR         = r(1:2) - x0
+        dPsi           = self%dPsi(Xi0, 4)
+        pDer           = self%partialDer(4, dPsi)
+        detJ           = self%detJac(pDer)
+        pDerInv(1,1:2) = (/  pDer(2,2), -pDer(1,2) /)
+        pDerInv(2,1:2) = (/ -pDer(2,1),  pDer(1,1) /)
+        Xi(1:2)        = Xi0(1:2) + MATMUL(pDerInv, deltaR)/detJ
+        conv           = MAXVAL(DABS(Xi(1:2)-Xi0(1:2)),1)
+        Xi0(1:2)       = Xi(1:2)
 
       END DO
 
@@ -680,8 +682,8 @@ MODULE moduleMesh2DCart
 
       dPsi = 0.D0
 
-      dPsi(1,:) = (/ -1.D0, 1.D0, 0.D0 /)
-      dPsi(2,:) = (/ -1.D0, 0.D0, 1.D0 /)
+      dPsi(1,1:3) = (/ -1.D0, 1.D0, 0.D0 /)
+      dPsi(2,1:3) = (/ -1.D0, 0.D0, 1.D0 /)
 
     END FUNCTION dPsiTria
 
@@ -701,8 +703,6 @@ MODULE moduleMesh2DCart
       pDer(2, 1:2) = (/ DOT_PRODUCT(dPsi(1,1:3),self%y(1:3)), &
                         DOT_PRODUCT(dPsi(2,1:3),self%y(1:3)) /)
 
-      pDer(3,3) = 1.D0
-
     END FUNCTION partialDerTria
 
     !Gather electric field at position Xi
@@ -828,19 +828,19 @@ MODULE moduleMesh2DCart
       CLASS(meshCell2DCartTria), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: Xi(1:3)
-      REAL(8):: deltaR(1:3)
-      REAL(8):: dPsi(1:3, 1:3)
+      REAL(8):: detJ, pDerInv(1:2,1:2), deltaR(1:2)
+      REAL(8):: dPsi(1:3,1:4)
       REAL(8):: pDer(1:3, 1:3)
-      REAL(8):: invJ(1:3, 1:3), detJ
 
       !Direct method to convert coordinates
-      Xi     = 0.D0
-      deltaR = (/ r(1) - self%x(1), r(2) - self%y(1), 0.D0 /)
-      dPsi   = self%dPsi(Xi, 3)
-      pDer   = self%partialDer(3, dPsi)
-      invJ   = transpose(self%invJac(pDer))
-      detJ   = self%detJac(pDer)
-      Xi     = MATMUL(invJ,deltaR)/detJ
+      Xi(3)          = 0.D0
+      deltaR         = (/ r(1) - self%x(1), r(2) - self%y(1) /)
+      dPsi           = self%dPsi(Xi, 3)
+      pDer           = self%partialDer(3, dPsi)
+      detJ           = self%detJac(pDer)
+      pDerInv(1,1:2) = (/  pDer(2,2), -pDer(1,2) /)
+      pDerInv(2,1:2) = (/ -pDer(2,1),  pDer(1,1) /)
+      Xi(1:2)        = MATMUL(pDerInv,deltaR)/detJ
 
     END FUNCTION phy2logTria
 
diff --git a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90 b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
index bb94440..1f5f33c 100644
--- a/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
+++ b/src/modules/mesh/2DCyl/moduleMesh2DCyl.f90
@@ -510,34 +510,36 @@ MODULE moduleMesh2DCyl
 
     END FUNCTION insideQuad
 
-    !Transform physical coordinates to element coordinates
+    !Transform physical coordinates to element coordinates with a Taylor series
     PURE FUNCTION phy2logQuad(self,r) RESULT(Xi) 
       IMPLICIT NONE
 
       CLASS(meshCell2DCylQuad), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: Xi(1:3)
-      REAL(8):: XiO(1:3), detJ, invJ(1:3,1:3), f(1:3)
+      REAL(8):: Xi0(1:3), detJ, pDerInv(1:2,1:2), deltaR(1:2), x0(1:2)
       REAL(8):: dPsi(1:3,1:4), fPsi(1:4)
       REAL(8):: pDer(1:3, 1:3)
       REAL(8):: conv
 
       !Iterative newton method to transform coordinates
-      conv = 1.D0
-      XiO  = 0.D0
+      conv  = 1.D0
+      Xi0   = 0.D0
+      Xi(3) = 0.D0
 
-      f(3) = 0.D0
       DO WHILE(conv > 1.D-4)
-        dPsi = self%dPsi(XiO, 4)
-        pDer = self%partialDer(4, dPsi)
-        detJ = self%detJac(pDer)
-        invJ = self%invJac(pDer)
-        fPsi = self%fPsi(XiO, 4)
-        f(1:2) = (/ DOT_PRODUCT(fPsi,self%z), &
-                    DOT_PRODUCT(fPsi,self%r) /) - r(1:2)
-        Xi = XiO - MATMUL(invJ, f)/detJ
-        conv = MAXVAL(DABS(Xi-XiO),1)
-        XiO = Xi
+        fPsi           = self%fPsi(Xi0, 4)
+        x0(1)          = dot_product(fPsi, self%z)
+        x0(2)          = dot_product(fPsi, self%r)
+        deltaR         = r(1:2) - x0
+        dPsi           = self%dPsi(Xi0, 4)
+        pDer           = self%partialDer(4, dPsi)
+        detJ           = self%detJac(pDer)
+        pDerInv(1,1:2) = (/  pDer(2,2), -pDer(1,2) /)
+        pDerInv(2,1:2) = (/ -pDer(2,1),  pDer(1,1) /)
+        Xi(1:2)        = Xi0(1:2) + MATMUL(pDerInv, deltaR)/detJ
+        conv           = MAXVAL(DABS(Xi(1:2)-Xi0(1:2)),1)
+        Xi0(1:2)       = Xi(1:2)
 
       END DO
 
@@ -858,19 +860,19 @@ MODULE moduleMesh2DCyl
       CLASS(meshCell2DCylTria), INTENT(in):: self
       REAL(8), INTENT(in):: r(1:3)
       REAL(8):: Xi(1:3)
-      REAL(8):: deltaR(1:3)
-      REAL(8):: dPsi(1:3, 1:3)
+      REAL(8):: detJ, pDerInv(1:2,1:2), deltaR(1:2)
+      REAL(8):: dPsi(1:3,1:4)
       REAL(8):: pDer(1:3, 1:3)
-      REAL(8):: invJ(1:3,  1:3), detJ
 
       !Direct method to convert coordinates
-      Xi     = 0.D0
-      deltaR = (/ r(1) - self%z(1), r(2) - self%r(1), 0.D0 /)
-      dPsi   = self%dPsi(Xi, 3)
-      pDer   = self%partialDer(3, dPsi)
-      invJ   = self%invJac(pDer)
-      detJ   = self%detJac(pDer)
-      Xi     = MATMUL(invJ,deltaR)/detJ
+      Xi(3)          = 0.D0
+      deltaR         = (/ r(1) - self%z(1), r(2) - self%r(1) /)
+      dPsi           = self%dPsi(Xi, 3)
+      pDer           = self%partialDer(3, dPsi)
+      detJ           = self%detJac(pDer)
+      pDerInv(1,1:2) = (/  pDer(2,2), -pDer(1,2) /)
+      pDerInv(2,1:2) = (/ -pDer(2,1),  pDer(1,1) /)
+      Xi(1:2)        = MATMUL(pDerInv,deltaR)/detJ
 
     END FUNCTION phy2logTria
 
@@ -948,8 +950,8 @@ MODULE moduleMesh2DCyl
 
       invJ = 0.D0
 
-      invJ(1, 1:2) = (/  pDer(2,2), -pDer(1,2) /)
-      invJ(2, 1:2) = (/ -pDer(2,1),  pDer(1,1) /)
+      invJ(1, 1:2) = (/  pDer(2,2), -pDer(2,1) /)
+      invJ(2, 1:2) = (/ -pDer(1,2),  pDer(1,1) /)
       invJ(3, 3)   = 1.D0
 
     END FUNCTION invJ2DCyl

From 5166a650d28a65524800cbfc81a0127a20b248de Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Wed, 6 Aug 2025 10:59:03 +0200
Subject: [PATCH 186/203] Data for Kr, just to test

---
 data/collisions/IO_e-Kr.dat | 52 +++++++++++++++++++++++++++++++++++++
 1 file changed, 52 insertions(+)
 create mode 100644 data/collisions/IO_e-Kr.dat

diff --git a/data/collisions/IO_e-Kr.dat b/data/collisions/IO_e-Kr.dat
new file mode 100644
index 0000000..532ca4d
--- /dev/null
+++ b/data/collisions/IO_e-Kr.dat
@@ -0,0 +1,52 @@
+# D108525 "refs": {"B56": {"note": "CLM-R294 (1989)"}}
+# Relative energy (eV) cross section (m^2)
+1.40E+01 0
+1.62E+01 7.249E-21
+1.88E+01 1.199E-20
+2.18E+01 1.644E-20
+2.53E+01 2.1E-20
+2.94E+01 2.542E-20
+3.41E+01 2.937E-20
+3.95E+01 3.26E-20
+4.58E+01 3.499E-20
+5.32E+01 3.653E-20
+6.17E+01 3.726E-20
+7.15E+01 3.728E-20
+8.29E+01 3.671E-20
+9.62E+01 3.566E-20
+1.12E+02 3.426E-20
+1.29E+02 3.259E-20
+1.50E+02 3.075E-20
+1.74E+02 2.881E-20
+2.02E+02 2.682E-20
+2.34E+02 2.484E-20
+2.72E+02 2.289E-20
+3.15E+02 2.101E-20
+3.65E+02 1.922E-20
+4.24E+02 1.751E-20
+4.91E+02 1.592E-20
+5.70E+02 1.443E-20
+6.61E+02 1.305E-20
+7.67E+02 1.177E-20
+8.89E+02 1.06E-20
+1.03E+03 9.526E-21
+1.20E+03 8.547E-21
+1.39E+03 7.658E-21
+1.61E+03 6.851E-21
+1.87E+03 6.121E-21
+2.16E+03 5.462E-21
+2.51E+03 4.868E-21
+2.91E+03 4.334E-21
+3.38E+03 3.855E-21
+3.92E+03 3.426E-21
+4.54E+03 3.041E-21
+5.27E+03 2.698E-21
+6.11E+03 2.391E-21
+7.09E+03 2.118E-21
+8.22E+03 1.875E-21
+9.53E+03 1.658E-21
+1.11E+04 1.466E-21
+1.28E+04 1.295E-21
+1.49E+04 1.143E-21
+1.72E+04 1.009E-21
+2.00E+04 8.898E-22

From dff9a87f0d5c39b74076f81537f6313457d9207a Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 8 Aug 2025 19:27:27 +0200
Subject: [PATCH 187/203] Implemenint injecting particles without direction

I was almost sure this was implemented in the past, but it was not working.

Now, if n = 0 or if n is not provided, particles are injected with the normal to the surface.
---
 src/modules/moduleInject.f90 | 8 +++++++-
 1 file changed, 7 insertions(+), 1 deletion(-)

diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 2a2c393..528cb91 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -377,7 +377,13 @@ MODULE moduleInject
           !Assign particle type
           partInj(n)%species => self%species
 
-          direction = self%n
+          if (all(self%n == 0.D0)) then
+            direction =  randomEdge%normal
+
+          else
+            direction = self%n
+
+          end if
 
           partInj(n)%v = 0.D0
 

From 9d789ef7a67eb9e444abe4c822ca03ff2a5307e1 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Wed, 24 Sep 2025 19:33:25 +0200
Subject: [PATCH 188/203] Add citation file

I think it follows the standard.
---
 CITATION.cff | 50 ++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 50 insertions(+)
 create mode 100644 CITATION.cff

diff --git a/CITATION.cff b/CITATION.cff
new file mode 100644
index 0000000..18cd6d7
--- /dev/null
+++ b/CITATION.cff
@@ -0,0 +1,50 @@
+# This CITATION.cff file was generated with cffinit.
+# Visit https://bit.ly/cffinit to generate yours today!
+
+cff-version: 1.2.0
+title: Finite element Particle Kinetic Code
+message: >-
+  If you use this software, please cite it using the
+  metadata from this file.
+type: software
+authors:
+  - given-names: Jorge
+    family-names: Gonzalez
+    email: jorge.gonzalez@upm.es
+    affiliation: Universidad Politécnica de Madrid
+    orcid: 'https://orcid.org/0000-0001-7905-5001'
+repository-code: 'https://gitlab.com/JorgeGonz/fpakc'
+abstract: >-
+  Welcome to fpakc (Finite element PArticle Kinetic Code), a
+  modern object oriented Fortran open-source code for
+  particle simulations of plasma and gases. This code works
+  by simulating charged and neutral particles, following
+  their trajectories, collisions and boundary conditions
+  imposed by the user.
+
+  One of our aims is to make a code easy to maintain as well
+  as easy to use by a variety of reserchers and students.
+
+  This code is currenlty in very early steps of development.
+
+  The code aims to be easy to maintain and easy to use,
+  allowing its application from complex problems to easy
+  examples that can be used, for example, as teaching
+  exercises.
+
+  Parallelization techniques such as OpenMP, MPI will be
+  used to distribute the cpu load. We aim to make fpakc GPU
+  compatible in the future.
+
+  The codefpakc makes use of finite elements to generate
+  meshes in complex geometries. Particle properties are
+  deposited in the nodes and cells of the mesh. The
+  electromagnetic field, with the boundary conditions
+  imposed by the user, is solved also in this mesh.
+keywords:
+  - particle-in-cell
+  - plasma
+  - finite elements
+license: GPL-3.0
+version: beta
+date-released: '2025-10-01'

From 55e062a9efe5766b628e89f894b187911f1d7a9b Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Sat, 11 Oct 2025 14:00:16 +0200
Subject: [PATCH 189/203] Fixed issue with volume in triangles

The right value in 2D Cartesian is used for calculating the volume.
---
 src/modules/init/moduleInput.f90             | 4 ++--
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 2 +-
 2 files changed, 3 insertions(+), 3 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 18c6e65..9a8ace6 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -968,9 +968,9 @@ MODULE moduleInput
         !Read the 0D mesh
         CALL mesh%readMesh(pathMeshParticle)
 
-        !Get the volumne
+        !Get the volume
         CALL config%get(object // '.volume', volume, found)
-        !Rescale the volumne
+        !Rescale the volume
         IF (found) THEN
           mesh%cells(1)%obj%volume = mesh%cells(1)%obj%volume*volume / Vol_ref
           mesh%nodes(1)%obj%v     = mesh%cells(1)%obj%volume
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index 126d40c..dcd2128 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -577,7 +577,7 @@ MODULE moduleMesh2DCart
       fPsi = self%fPsi(Xi, 4)
 
       !Compute total volume of the cell
-      self%volume  = detJ*4.D0/L_ref
+      self%volume  = detJ*4.D0
       !Compute volume per node
       self%n1%v = self%n1%v + fPsi(1)*self%volume
       self%n2%v = self%n2%v + fPsi(2)*self%volume

From 9f9bacca7cc06adf790dc4902775480ad742e840 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Mon, 19 Jan 2026 14:48:06 +0100
Subject: [PATCH 190/203] Skeleton implementation of text mesh for simple 1D
 cases.

---
 src/makefile                                  |  1 +
 src/modules/init/moduleInput.f90              | 15 ++++
 src/modules/mesh/inout/makefile               |  5 +-
 src/modules/mesh/inout/text/makefile          |  7 ++
 .../mesh/inout/text/moduleMeshInputText.f90   | 85 +++++++++++++++++++
 .../mesh/inout/text/moduleMeshOutputText.f90  | 67 +++++++++++++++
 6 files changed, 179 insertions(+), 1 deletion(-)
 create mode 100644 src/modules/mesh/inout/text/makefile
 create mode 100644 src/modules/mesh/inout/text/moduleMeshInputText.f90
 create mode 100644 src/modules/mesh/inout/text/moduleMeshOutputText.f90

diff --git a/src/makefile b/src/makefile
index 247c7d2..83cf8db 100644
--- a/src/makefile
+++ b/src/makefile
@@ -9,6 +9,7 @@ OBJECTS = $(OBJDIR)/moduleMesh.o $(OBJDIR)/moduleMeshBoundary.o $(OBJDIR)/module
 			  	$(OBJDIR)/moduleMeshInputVTU.o $(OBJDIR)/moduleMeshOutputVTU.o \
 			  	$(OBJDIR)/moduleMeshInputGmsh2.o $(OBJDIR)/moduleMeshOutputGmsh2.o \
 			  	$(OBJDIR)/moduleMeshInput0D.o $(OBJDIR)/moduleMeshOutput0D.o \
+				$(OBJDIR)/moduleMeshInputText.o $(OBJDIR)/moduleMeshOutputText.o \
 			  	$(OBJDIR)/moduleMesh3DCart.o \
 			  	$(OBJDIR)/moduleMesh2DCyl.o  \
 			  	$(OBJDIR)/moduleMesh2DCart.o \
diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 9a8ace6..74da279 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -910,6 +910,7 @@ MODULE moduleInput
       USE moduleMeshInputGmsh2, ONLY: initGmsh2
       USE moduleMeshInputVTU,   ONLY: initVTU
       USE moduleMeshInput0D,    ONLY: init0D
+      USE moduleMeshInputText,  ONLY: initText
       USE moduleMesh3DCart
       USE moduleMesh2DCyl
       USE moduleMesh2DCart
@@ -1058,6 +1059,20 @@ MODULE moduleInput
 
           END IF
 
+        case ("text")
+          !Check if the geometry is right.
+          if (mesh%dimen /= 1) then
+            call criticalError("Text mesh is only allowed for 1D geometries", 'readGeometry')
+          
+          end if
+
+          !Read the mesh
+          call initText(mesh)
+          if (doubleMesh) then
+            call initText(meshColl)
+
+          end if
+
         CASE DEFAULT
           CALL criticalError('Mesh format ' // meshFormat // ' not defined.', 'readGeometry')
 
diff --git a/src/modules/mesh/inout/makefile b/src/modules/mesh/inout/makefile
index a93161d..1b8883d 100644
--- a/src/modules/mesh/inout/makefile
+++ b/src/modules/mesh/inout/makefile
@@ -1,4 +1,4 @@
-all: vtu.o gmsh2.o 0D.o
+all: vtu.o gmsh2.o 0D.o text.o
 
 vtu.o: moduleMeshInoutCommon.o
 	$(MAKE) -C vtu all
@@ -9,5 +9,8 @@ gmsh2.o:
 0D.o:
 	$(MAKE) -C 0D all
 
+text.o:
+	$(MAKE) -C text all
+
 %.o: %.f90
 	$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@
diff --git a/src/modules/mesh/inout/text/makefile b/src/modules/mesh/inout/text/makefile
new file mode 100644
index 0000000..26d0f10
--- /dev/null
+++ b/src/modules/mesh/inout/text/makefile
@@ -0,0 +1,7 @@
+all: moduleMeshInputText.o moduleMeshOutputText.o
+
+moduleMeshInputText.o: moduleMeshOutputText.o moduleMeshInputText.f90
+	$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
+
+%.o: %.f90
+	$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@
diff --git a/src/modules/mesh/inout/text/moduleMeshInputText.f90 b/src/modules/mesh/inout/text/moduleMeshInputText.f90
new file mode 100644
index 0000000..4e29d03
--- /dev/null
+++ b/src/modules/mesh/inout/text/moduleMeshInputText.f90
@@ -0,0 +1,85 @@
+module moduleMeshInputText
+  !The mesh is stored as a column-wise text file.
+  !Aimed for simple geometries in 1D
+
+  contains
+    !Inits the text mesh
+    subroutine initText(self)
+      use moduleMesh
+      use moduleMeshOutputText
+      implicit none
+
+      class(meshGeneric), intent(inout), target:: self 
+
+      if (associated(meshForMCC,self)) then
+        self%printColl => printCollText
+
+      end if
+
+      select type(self)
+      type is (meshParticles)
+        self%printOutput  => printOutputText
+        self%printEM      => printEMText
+        self%printAverage => printAverageText
+
+        self%readInitial  => readInitialText
+
+      end select
+
+      self%readMesh => readText
+
+    end subroutine initText
+
+    !Reads the text mesh
+    subroutine readText(self, filename)
+      use moduleMesh
+      use moduleMesh1DCart
+      use moduleMesh1DRad
+      use moduleErrors
+      implicit none
+
+      class(meshGeneric), intent(inout):: self
+      character(:), allocatable, intent(in):: filename !Dummy file, not used
+      integer:: fileID, reason
+      CHARACTER(LEN=256):: line
+      real(8):: r !dummy 1D coordinate
+      integer:: physicalID
+
+      fileID = 10
+
+      open(fileID, file=trim(filename))
+
+      !Skip header
+      read(fileID)
+
+      do
+        read(fileID, *, iostat=reason) r, physicalID
+
+        if (reason > 0) then
+          call criticalError('Error reading mesh file', 'readText')
+
+        else if (reason < 0) then
+          exit
+
+        end if
+
+        write(*, *) r, physicalID
+        
+
+      end do
+
+      close(fileID)
+
+    end subroutine readText
+
+    subroutine readInitialText(filename, density, velocity, temperature)
+      implicit none
+
+      character(:), allocatable, intent(in):: filename
+      real(8), allocatable, intent(out), dimension(:):: density
+      real(8), allocatable, intent(out), dimension(:,:):: velocity
+      real(8), allocatable, intent(out), dimension(:):: temperature
+
+    end subroutine readInitialText
+
+end module moduleMeshInputText
diff --git a/src/modules/mesh/inout/text/moduleMeshOutputText.f90 b/src/modules/mesh/inout/text/moduleMeshOutputText.f90
new file mode 100644
index 0000000..c1b288d
--- /dev/null
+++ b/src/modules/mesh/inout/text/moduleMeshOutputText.f90
@@ -0,0 +1,67 @@
+module moduleMeshOutputText
+  contains
+
+    subroutine writeSpeciesOutput(self, fileID, speciesIndex)
+      use moduleMesh
+      use moduleOutput
+      implicit none
+
+      class(meshParticles), INTENT(in):: self
+      integer, intent(in):: fileID
+      integer, intent(in):: speciesIndex
+
+    end subroutine writeSpeciesOutput
+
+    subroutine writeCollOutput(self, fileID)
+      use moduleMesh
+      use moduleCollisions
+      implicit none
+
+      class(meshGeneric), intent(in):: self
+      integer, intent(in):: fileID
+
+    end subroutine writeCollOutput
+
+    subroutine writeEMOutput(self, fileID)
+      use moduleMesh
+      use moduleRefParam
+      implicit none
+
+      class(meshParticles), intent(in):: self
+      integer, intent(in):: fileID
+
+    end subroutine writeEMOutput
+
+    subroutine printOutputText(self)
+      use moduleMesh
+      implicit none
+      
+      class(meshParticles), intent(in):: self
+
+    end subroutine printOutputText
+
+    subroutine printCollText(self)
+      use moduleMesh
+      implicit none
+      
+      class(meshGeneric), intent(in):: self
+
+    end subroutine printCollText
+
+    subroutine printEMText(self)
+      use moduleMesh
+      implicit none
+      
+      class(meshParticles), intent(in):: self
+
+    end subroutine printEMText
+
+    subroutine printAverageText(self)
+      use moduleMesh
+      implicit none
+      
+      class(meshParticles), intent(in):: self
+
+    end subroutine printAverageText
+
+end module moduleMeshOutputText

From 7d4f4b98c37f86a8744fabc699bbba4253bc37e8 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Mon, 19 Jan 2026 15:37:31 +0100
Subject: [PATCH 191/203] Implementing input subroutines

---
 .../mesh/inout/text/moduleMeshInputText.f90   | 90 +++++++++++++++++--
 src/modules/mesh/moduleMesh.f90               |  8 +-
 2 files changed, 88 insertions(+), 10 deletions(-)

diff --git a/src/modules/mesh/inout/text/moduleMeshInputText.f90 b/src/modules/mesh/inout/text/moduleMeshInputText.f90
index 4e29d03..f28de9c 100644
--- a/src/modules/mesh/inout/text/moduleMeshInputText.f90
+++ b/src/modules/mesh/inout/text/moduleMeshInputText.f90
@@ -41,19 +41,25 @@ module moduleMeshInputText
       class(meshGeneric), intent(inout):: self
       character(:), allocatable, intent(in):: filename !Dummy file, not used
       integer:: fileID, reason
-      CHARACTER(LEN=256):: line
-      real(8):: r !dummy 1D coordinate
+      character(len=256):: line
+      integer:: nNodes
+      real(8):: r(1:3) !dummy 3D coordinate
       integer:: physicalID
+      integer:: n, c
+      integer, allocatable:: p(:)
+      integer:: bt
 
       fileID = 10
 
       open(fileID, file=trim(filename))
 
       !Skip header
-      read(fileID)
+      read(fileID, *)
 
+      !Get number of nodes
+      nNodes = 0
       do
-        read(fileID, *, iostat=reason) r, physicalID
+        read(fileID, *, iostat=reason) line
 
         if (reason > 0) then
           call criticalError('Error reading mesh file', 'readText')
@@ -61,10 +67,82 @@ module moduleMeshInputText
         else if (reason < 0) then
           exit
 
+        else if (len(line) > 0) then
+          nNodes = nNodes + 1
+
         end if
 
-        write(*, *) r, physicalID
-        
+      end do
+
+      if (nNodes == 0) then
+        call criticalError('No nodes read in mesh file', 'readText')
+
+      end if
+
+      self%numNodes = nNodes
+      self%numCells = nNodes - 1
+      allocate(self%nodes(1:self%numNodes))
+      allocate(self%cells(1:self%numCells))
+
+      select type(self)
+      type is (meshParticles)
+        self%numEdges = 2
+
+        allocate(self%edges(1:self%numEdges))
+
+      end select
+
+      !Read the mesh now
+      rewind(fileID)
+      
+      !Skip header
+      read(fileID, *)
+
+      !Allocate nodes and edges
+      do n = 1, self%numNodes
+        r = 0.D0
+
+        read(fileID, *) r(1), physicalID
+
+        select case(self%geometry)
+        case("Cart")
+          allocate(meshNode1DCart:: self%nodes(n)%obj)
+
+        case("Rad")
+          allocate(meshNode1DRad:: self%nodes(n)%obj)
+
+        end select
+
+        !Init nodes
+        call self%nodes(n)%obj%init(n, r)
+
+        !Allocate edges if required)
+        select type(self)
+        type is (meshParticles)
+          if ((physicalID == 1) .or. (physicalID == 2)) then
+            select case(self%geometry)
+            case("Cart")
+              allocate(meshEdge1DCart:: self%edges(physicalID)%obj)
+
+            case("Rad")
+              allocate(meshEdge1DRad:: self%edges(physicalID)%obj)
+            
+            end select
+
+            allocate(p(1))
+            p(1) = n
+            bt = getBoundaryId(physicalID)
+            call self%edges(physicalID)%obj%init(physicalID, p, physicalID, physicalID)
+            deallocate(p)
+
+          end if
+
+        end select
+
+      end do
+
+      !Allocate cells
+      do c = 1, self%numCells
 
       end do
 
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 7ab3914..78cc772 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -344,10 +344,10 @@ MODULE moduleMesh
     !Array of cell elements
     TYPE(meshCellCont),  ALLOCATABLE:: cells(:)
     !PROCEDURES SPECIFIC OF FILE TYPE
-    PROCEDURE(readMesh_interface),     POINTER, PASS::   readMesh     => NULL()
-    PROCEDURE(readInitial_interface),  POINTER, NOPASS:: readInitial  => NULL()
-    PROCEDURE(connectMesh_interface),  POINTER, PASS::   connectMesh  => NULL()
-    PROCEDURE(printColl_interface),    POINTER, PASS::   printColl    => NULL()
+    PROCEDURE(readMesh_interface),    POINTER, PASS::   readMesh     => NULL()
+    PROCEDURE(readInitial_interface), POINTER, NOPASS:: readInitial  => NULL()
+    PROCEDURE(connectMesh_interface), POINTER, PASS::   connectMesh  => NULL()
+    PROCEDURE(printColl_interface),   POINTER, PASS::   printColl    => NULL()
     CONTAINS
       !GENERIC PROCEDURES
       PROCEDURE, PASS:: doCollisions

From 3083e20ff7ca72d9a43e6f5145ccab02f1dc6516 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Thu, 22 Jan 2026 14:06:20 +0100
Subject: [PATCH 192/203] Subroutine for reading mesh

It is now complete and working. I also added some minor improvements to moduleMesh.f90 using 'associate' to practice.

I noticed there are a lot of things (allocating K, for example) that are common for all meshes and should be moved to a general module.
---
 .../mesh/inout/text/moduleMeshInputText.f90   | 33 ++++++++++++++++++-
 src/modules/mesh/moduleMesh.f90               | 27 +++++++--------
 2 files changed, 46 insertions(+), 14 deletions(-)

diff --git a/src/modules/mesh/inout/text/moduleMeshInputText.f90 b/src/modules/mesh/inout/text/moduleMeshInputText.f90
index f28de9c..26c7a6c 100644
--- a/src/modules/mesh/inout/text/moduleMeshInputText.f90
+++ b/src/modules/mesh/inout/text/moduleMeshInputText.f90
@@ -80,8 +80,18 @@ module moduleMeshInputText
       end if
 
       self%numNodes = nNodes
-      self%numCells = nNodes - 1
       allocate(self%nodes(1:self%numNodes))
+
+      SELECT TYPE(self)
+      TYPE IS(meshParticles)
+        ALLOCATE(self%K(1:self%numNodes, 1:self%numNodes))
+        ALLOCATE(self%IPIV(1:self%numNodes, 1:self%numNodes))
+        self%K = 0.D0
+        self%IPIV = 0
+
+      END SELECT
+
+      self%numCells = nNodes - 1
       allocate(self%cells(1:self%numCells))
 
       select type(self)
@@ -142,12 +152,33 @@ module moduleMeshInputText
       end do
 
       !Allocate cells
+      n = 1
+      allocate(p(1:2))
       do c = 1, self%numCells
+        p(1) = n
+        n = n + 1
+        p(2) = n
+        
+        select case(self%geometry)
+        case("Cart")
+          allocate(meshCell1DCartSegm:: self%cells(c)%obj)
+
+        case("Rad")
+          allocate(meshCell1DRadSegm:: self%cells(c)%obj)
+
+        end select
+
+        call self%cells(c)%obj%init(c, p, self%nodes)
+
 
       end do
+      deallocate(p)
 
       close(fileID)
 
+      !Call mesh connectivity
+      CALL self%connectMesh
+
     end subroutine readText
 
     subroutine readInitialText(filename, density, velocity, temperature)
diff --git a/src/modules/mesh/moduleMesh.f90 b/src/modules/mesh/moduleMesh.f90
index 78cc772..01b03c7 100644
--- a/src/modules/mesh/moduleMesh.f90
+++ b/src/modules/mesh/moduleMesh.f90
@@ -499,28 +499,29 @@ MODULE moduleMesh
       IMPLICIT NONE
 
       CLASS(meshParticles), INTENT(inout):: self
-      INTEGER:: e
-      INTEGER:: nNodes
+      INTEGER:: c
       INTEGER, ALLOCATABLE:: n(:)
       REAL(8), ALLOCATABLE:: localK(:,:)
       INTEGER:: i, j
 
-      DO e = 1, self%numCells
-        nNodes = self%cells(e)%obj%nNodes
-        ALLOCATE(n(1:nNodes))
-        ALLOCATE(localK(1:nNodes, 1:nNodes))
-        n      = self%cells(e)%obj%getNodes(nNodes)
-        localK = self%cells(e)%obj%elemK(nNodes)
+      DO c = 1, self%numCells
+        associate(nNodes => self%cells(c)%obj%nNodes)
+          ALLOCATE(n(1:nNodes))
+          ALLOCATE(localK(1:nNodes, 1:nNodes))
+          n      = self%cells(c)%obj%getNodes(nNodes)
+          localK = self%cells(c)%obj%elemK(nNodes)
 
-        DO i = 1, nNodes
-          DO j = 1, nNodes
-            self%K(n(i), n(j)) = self%K(n(i), n(j)) + localK(i, j)
+          DO i = 1, nNodes
+            DO j = 1, nNodes
+              self%K(n(i), n(j)) = self%K(n(i), n(j)) + localK(i, j)
+
+            END DO
 
           END DO
 
-        END DO
+          DEALLOCATE(n, localK)
 
-        DEALLOCATE(n, localK)
+        end associate
 
       END DO
 

From 27158c7c1dbb1592f7952cef775dd42116e89d97 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Thu, 22 Jan 2026 18:44:25 +0100
Subject: [PATCH 193/203] Output for species

First output done. Now it is mostly Copy Paste.

There are so many things I need to reform in other parts... Learning new things is awful.
---
 .../mesh/inout/text/moduleMeshOutputText.f90  | 34 +++++++++++++++++++
 .../mesh/inout/vtu/moduleMeshOutputVTU.f90    |  2 +-
 2 files changed, 35 insertions(+), 1 deletion(-)

diff --git a/src/modules/mesh/inout/text/moduleMeshOutputText.f90 b/src/modules/mesh/inout/text/moduleMeshOutputText.f90
index c1b288d..e5ac44d 100644
--- a/src/modules/mesh/inout/text/moduleMeshOutputText.f90
+++ b/src/modules/mesh/inout/text/moduleMeshOutputText.f90
@@ -4,11 +4,24 @@ module moduleMeshOutputText
     subroutine writeSpeciesOutput(self, fileID, speciesIndex)
       use moduleMesh
       use moduleOutput
+      use moduleRefParam, only: L_ref
       implicit none
 
       class(meshParticles), INTENT(in):: self
       integer, intent(in):: fileID
       integer, intent(in):: speciesIndex
+      type(outputFormat):: output
+      real(8):: r(1:3)
+      integer:: n
+
+      do n = 1, self%numNodes
+        call calculateOutput(self%nodes(n)%obj%output(speciesIndex), output, self%nodes(n)%obj%v, species(speciesIndex)%obj)
+        r = self%nodes(n)%obj%getCoordinates()
+
+        write(fileID, '(5(ES0.6E3,","),ES0.6E3)') r(1)*L_ref, output%density, output%velocity, output%temperature
+
+      end do
+
 
     end subroutine writeSpeciesOutput
 
@@ -34,10 +47,31 @@ module moduleMeshOutputText
 
     subroutine printOutputText(self)
       use moduleMesh
+      use moduleSpecies
+      use moduleMeshInoutCommon
+      use moduleCaseParam, ONLY: timeStep
       implicit none
       
       class(meshParticles), intent(in):: self
 
+      INTEGER:: s, fileID
+      character(:), allocatable:: fileName
+
+      fileID = 60
+
+      do s = 1, nSpecies
+        fileName = formatFileName(prefix, species(s)%obj%name, 'csv', timeStep)
+        write(*, "(6X,A15,A)") "Creating file: ", fileName
+        open (fileID, file = path // folder // '/' //  fileName)
+
+       write(fileID, '(5(A,","),A)') 'Position (m)', 'Density (m^-3)', 'Velocity:1 (m s^-1)', 'Velocity:2 (m s^-1)', 'Velocity:3 (m s^-1)', 'Temperature (K)'
+
+        call writeSpeciesOutput(self, fileID, s)
+
+        close(fileID)
+
+      end do
+
     end subroutine printOutputText
 
     subroutine printCollText(self)
diff --git a/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
index 81e4bbf..8e8f91a 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshOutputVTU.f90
@@ -11,7 +11,7 @@ MODULE moduleMeshOutputVTU
 
       WRITE(fileID,"(A)") '<?xml version="1.0"?>'
       WRITE(fileID,"(2X, A)") '<VTKFile type="UnstructuredGrid">'
-      WRITE(fileID,"(4X, A,ES20.6E3,A)") '<UnstructuredGrid>'
+      WRITE(fileID,"(4X, A)") '<UnstructuredGrid>'
       WRITE(fileID,"(6X, A, I10, A, I10, A)") '<Piece NumberOfPoints="', nNodes, '" NumberOfCells="', nCells, '">'
 
     END SUBROUTINE writeHeader

From 8c8c6409f6db713f70655318d2d148263997e496 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 23 Jan 2026 12:16:52 +0100
Subject: [PATCH 194/203] Output for EM

The output for the EM field properties is done.
---
 .../mesh/inout/text/moduleMeshOutputText.f90  | 68 ++++++++++++++++++-
 1 file changed, 65 insertions(+), 3 deletions(-)

diff --git a/src/modules/mesh/inout/text/moduleMeshOutputText.f90 b/src/modules/mesh/inout/text/moduleMeshOutputText.f90
index e5ac44d..fb067c3 100644
--- a/src/modules/mesh/inout/text/moduleMeshOutputText.f90
+++ b/src/modules/mesh/inout/text/moduleMeshOutputText.f90
@@ -22,7 +22,6 @@ module moduleMeshOutputText
 
       end do
 
-
     end subroutine writeSpeciesOutput
 
     subroutine writeCollOutput(self, fileID)
@@ -37,11 +36,35 @@ module moduleMeshOutputText
 
     subroutine writeEMOutput(self, fileID)
       use moduleMesh
-      use moduleRefParam
+      use moduleRefParam, only: L_ref, Volt_ref, B_ref, EF_ref
       implicit none
 
       class(meshParticles), intent(in):: self
       integer, intent(in):: fileID
+      integer:: n, c
+      real(8):: r(1:3), Xi(1:3)
+
+      do n = 1, self%numNodes
+        r = self%nodes(n)%obj%getCoordinates()
+        if (n == self%numNodes) then
+          Xi = (/ 1.D0, 0.D0, 0.D0 /)
+          c = self%numNodes - 1
+
+        else
+          Xi = (/ 0.D0, 0.D0, 0.D0 /)
+          c = n
+
+        end if
+
+        associate(output => self%nodes(n)%obj%emData)
+          write(fileID, '(7(ES0.6E3,","),ES0.6E3)') r(1)*L_ref, &
+                                                    output%phi*Volt_ref, &
+                                                    self%cells(c)%obj%gatherElectricField(Xi)*EF_ref, &
+                                                    output%B*B_ref
+
+        end associate
+
+      end do
 
     end subroutine writeEMOutput
 
@@ -64,7 +87,10 @@ module moduleMeshOutputText
         write(*, "(6X,A15,A)") "Creating file: ", fileName
         open (fileID, file = path // folder // '/' //  fileName)
 
-       write(fileID, '(5(A,","),A)') 'Position (m)', 'Density (m^-3)', 'Velocity:1 (m s^-1)', 'Velocity:2 (m s^-1)', 'Velocity:3 (m s^-1)', 'Temperature (K)'
+        write(fileID, '(5(A,","),A)') 'Position (m)', &
+                                      'Density (m^-3)', &
+                                      'Velocity (m s^-1):0', 'Velocity (m s^-1):1', 'Velocity (m s^-1):2', &
+                                      'Temperature (K)'
 
         call writeSpeciesOutput(self, fileID, s)
 
@@ -76,17 +102,53 @@ module moduleMeshOutputText
 
     subroutine printCollText(self)
       use moduleMesh
+      use moduleOutput
+      use moduleMeshInoutCommon
+      use moduleCaseParam, only: timeStep
       implicit none
       
       class(meshGeneric), intent(in):: self
+      integer:: fileID
+      character(:), allocatable:: fileName
+
+      fileID = 62
+
+      if (collOutput) then
+        fileName = formatFileName(prefix, 'Collisions', 'csv', timeStep)
+        write(*, "(6X,A15,A)") "Creating file: ", fileName
+        open (fileID, file = path // folder // '/' //  fileName)
+
+      end if
 
     end subroutine printCollText
 
     subroutine printEMText(self)
       use moduleMesh
+      use moduleMeshInoutCommon
+      use moduleCaseParam, only: timeStep
       implicit none
       
       class(meshParticles), intent(in):: self
+      integer:: fileID
+      character(:), allocatable:: fileName
+
+      fileID = 64
+
+      if (emOutput) then
+        fileName = formatFileName(prefix, 'EMField', 'csv', timeStep)
+        write(*, "(6X,A15,A)") "Creating file: ", fileName
+        open (fileID, file = path // folder // '/' //  fileName)
+
+        write(fileID, '(8(A,","),A)') 'Position (m)', &
+                                      'Potential (V)', &
+                                      'Electric Field (V m^-1):0', 'Electric Field (V m^-1):1', 'Electric Field (V m^-1):2', &
+                                      'Magnetic Field (T):0',      'Magnetic Field (T):1',      'Magnetic Field (T):2'
+
+        call writeEMOutput(self, fileID)
+
+        close(fileID)
+
+      end if
 
     end subroutine printEMText
 

From 46b9f263ea173e2ae00d1ac2609fb19fb868f7f8 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 23 Jan 2026 14:26:39 +0100
Subject: [PATCH 195/203] Average done

Now we can output averages in this format.
---
 .../mesh/inout/text/moduleMeshOutputText.f90  | 75 ++++++++++++++++++-
 1 file changed, 73 insertions(+), 2 deletions(-)

diff --git a/src/modules/mesh/inout/text/moduleMeshOutputText.f90 b/src/modules/mesh/inout/text/moduleMeshOutputText.f90
index fb067c3..0eb6a21 100644
--- a/src/modules/mesh/inout/text/moduleMeshOutputText.f90
+++ b/src/modules/mesh/inout/text/moduleMeshOutputText.f90
@@ -10,13 +10,13 @@ module moduleMeshOutputText
       class(meshParticles), INTENT(in):: self
       integer, intent(in):: fileID
       integer, intent(in):: speciesIndex
-      type(outputFormat):: output
       real(8):: r(1:3)
+      type(outputFormat):: output
       integer:: n
 
       do n = 1, self%numNodes
-        call calculateOutput(self%nodes(n)%obj%output(speciesIndex), output, self%nodes(n)%obj%v, species(speciesIndex)%obj)
         r = self%nodes(n)%obj%getCoordinates()
+        call calculateOutput(self%nodes(n)%obj%output(speciesIndex), output, self%nodes(n)%obj%v, species(speciesIndex)%obj)
 
         write(fileID, '(5(ES0.6E3,","),ES0.6E3)') r(1)*L_ref, output%density, output%velocity, output%temperature
 
@@ -68,6 +68,41 @@ module moduleMeshOutputText
 
     end subroutine writeEMOutput
 
+    subroutine writeAverage(self, fileIDMean, &
+                                  fileIDDeviation, &
+                                  speciesIndex)
+
+      use moduleMesh
+      use moduleOutput
+      use moduleAverage
+      use moduleRefParam, only: L_ref
+      implicit none
+
+      class(meshParticles), intent(in):: self
+      integer, intent(in):: fileIDMean, fileIDDeviation
+      INTEGER, intent(in):: speciesIndex
+      real(8):: r(1:3)
+      type(outputFormat):: outputMean
+      type(outputFormat):: outputDeviation
+      integer:: n
+
+      do n = 1, self%numNodes
+        r = self%nodes(n)%obj%getCoordinates()
+
+        call calculateOutput(averageScheme(n)%mean%output(speciesIndex),      outputMean,      &
+                             self%nodes(n)%obj%v, species(speciesIndex)%obj)
+
+        write(fileIDMean, '(5(ES0.6E3,","),ES0.6E3)') r(1)*L_ref, outputMean%density, outputMean%velocity, outputMean%temperature
+
+        call calculateOutput(averageScheme(n)%deviation%output(speciesIndex), outputDeviation, &
+                             self%nodes(n)%obj%v, species(speciesIndex)%obj)
+
+        write(fileIDDeviation, '(5(ES0.6E3,","),ES0.6E3)') r(1)*L_ref, outputDeviation%density, outputDeviation%velocity, outputDeviation%temperature
+
+      end do
+
+    end subroutine writeAverage
+
     subroutine printOutputText(self)
       use moduleMesh
       use moduleSpecies
@@ -118,6 +153,8 @@ module moduleMeshOutputText
         write(*, "(6X,A15,A)") "Creating file: ", fileName
         open (fileID, file = path // folder // '/' //  fileName)
 
+        close(fileID)
+
       end if
 
     end subroutine printCollText
@@ -154,9 +191,43 @@ module moduleMeshOutputText
 
     subroutine printAverageText(self)
       use moduleMesh
+      use moduleSpecies
+      use moduleMeshInoutCommon
       implicit none
       
       class(meshParticles), intent(in):: self
+      integer:: s
+      integer:: fileIDMean, fileIDDeviation
+      character(:), allocatable:: fileNameMean, fileNameDeviation
+
+      fileIDMean = 66
+      fileIDDeviation = 67
+
+      do s = 1, nSpecies
+        fileNameMean = formatFileName('Average_mean', species(s)%obj%name, 'csv', timeStep)
+        write(*, "(6X,A15,A)") "Creating file: ", fileNameMean
+        open (fileIDMean, file = path // folder // '/' //  fileNameMean)
+
+        write(fileIDMean, '(5(A,","),A)') 'Position (m)', &
+                                          'Density, mean (m^-3)', &
+                                          'Velocity, mean (m s^-1):0', 'Velocity (m s^-1):1', 'Velocity (m s^-1):2', &
+                                          'Temperature, mean (K)'
+
+        fileNameDeviation = formatFileName('Average_deviation', species(s)%obj%name, 'csv', timeStep)
+        write(*, "(6X,A15,A)") "Creating file: ", fileNameDeviation
+        open (fileIDDeviation, file = path // folder // '/' //  fileNameDeviation)
+
+        write(fileIDDeviation, '(5(A,","),A)') 'Position (m)', &
+                                               'Density, deviation (m^-3)', &
+                                               'Velocity, deviation (m s^-1):0', 'Velocity (m s^-1):1', 'Velocity (m s^-1):2', &
+                                               'Temperature, deviation (K)'
+
+        call writeAverage(self, fileIDMean, fileIDDeviation, s)
+
+        close(fileIDMean)
+        close(fileIDDeviation)
+
+      end do
 
     end subroutine printAverageText
 

From d34e72d2e8c4f4d5e6acad173783a6a182731717 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 23 Jan 2026 14:51:49 +0100
Subject: [PATCH 196/203] Collisions done

Thanks to the advance statement the output of collisions is done.
---
 .../mesh/inout/text/moduleMeshOutputText.f90  | 31 +++++++++++++++++++
 1 file changed, 31 insertions(+)

diff --git a/src/modules/mesh/inout/text/moduleMeshOutputText.f90 b/src/modules/mesh/inout/text/moduleMeshOutputText.f90
index 0eb6a21..d69ddda 100644
--- a/src/modules/mesh/inout/text/moduleMeshOutputText.f90
+++ b/src/modules/mesh/inout/text/moduleMeshOutputText.f90
@@ -27,10 +27,26 @@ module moduleMeshOutputText
     subroutine writeCollOutput(self, fileID)
       use moduleMesh
       use moduleCollisions
+      use moduleRefParam, only: L_ref
       implicit none
 
       class(meshGeneric), intent(in):: self
       integer, intent(in):: fileID
+      integer:: n, k, c
+      
+      do n = 1, self%numCells
+        write(fileID, '(I0)', advance='no') n
+
+        do k = 1, nCollPairs
+          do c = 1, interactionMatrix(k)%amount
+            write(fileID, '(",",I0)', advance='no') self%cells(n)%obj%tallyColl(k)%tally(c)
+
+          end do
+
+        end do
+        write(fileID, *)
+
+      end do
 
     end subroutine writeCollOutput
 
@@ -145,6 +161,8 @@ module moduleMeshOutputText
       class(meshGeneric), intent(in):: self
       integer:: fileID
       character(:), allocatable:: fileName
+      integer:: k, c
+      character (len=2):: cString
 
       fileID = 62
 
@@ -153,6 +171,19 @@ module moduleMeshOutputText
         write(*, "(6X,A15,A)") "Creating file: ", fileName
         open (fileID, file = path // folder // '/' //  fileName)
 
+        write(fileID, '(A)', advance='no') "Cell"
+        do k = 1, nCollPairs
+          do c = 1, interactionMatrix(k)%amount
+            write(cString, "(I2)") c
+            write(fileID, '(",",A)', advance='no') 'Pair ' // interactionMatrix(k)%sp_i%name // '-' // interactionMatrix(k)%sp_j%name // ' collision ' // cString
+
+          end do
+        end do
+
+        write(fileID, *)
+
+        call writeCollOutput(self, fileID)
+
         close(fileID)
 
       end if

From 1b1a574edc9e85c7c87bc906e781358cbfd2cfea Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 23 Jan 2026 15:04:39 +0100
Subject: [PATCH 197/203] Read initial

Now we can read an initial condition as we do with other formats.

Only documentation left.
---
 .../mesh/inout/text/moduleMeshInputText.f90   | 38 +++++++++++++++++++
 .../mesh/inout/vtu/moduleMeshInputVTU.f90     |  2 +
 2 files changed, 40 insertions(+)

diff --git a/src/modules/mesh/inout/text/moduleMeshInputText.f90 b/src/modules/mesh/inout/text/moduleMeshInputText.f90
index 26c7a6c..a41e6d3 100644
--- a/src/modules/mesh/inout/text/moduleMeshInputText.f90
+++ b/src/modules/mesh/inout/text/moduleMeshInputText.f90
@@ -182,12 +182,50 @@ module moduleMeshInputText
     end subroutine readText
 
     subroutine readInitialText(filename, density, velocity, temperature)
+      use moduleErrors
       implicit none
 
       character(:), allocatable, intent(in):: filename
       real(8), allocatable, intent(out), dimension(:):: density
       real(8), allocatable, intent(out), dimension(:,:):: velocity
       real(8), allocatable, intent(out), dimension(:):: temperature
+      integer:: fileID, reason
+      character(len=256):: line
+      integer:: nNodes
+      integer:: n
+
+      fileID = 10
+
+      open(fileID, file=trim(filename))
+
+      do 
+        read(fileID, *, iostat=reason) line
+      
+        if (reason > 0) then
+          call criticalError('Error reading mesh file', 'readText')
+
+        else if (reason < 0) then
+          exit
+
+        else if (len(line) > 0) then
+          nNodes = nNodes + 1
+
+        end if
+
+      end do
+
+      allocate(density(1:nNodes))
+      allocate(velocity(1:nNodes, 1:3))
+      allocate(temperature(1:nNodes))
+
+      rewind(fileID)
+
+      do n = 1, nNodes
+        read(fileID, *) density(n), velocity(n, 1:3), temperature(n)
+
+      end do
+
+      close(fileID)
 
     end subroutine readInitialText
 
diff --git a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90 b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
index e07db01..c7b89b5 100644
--- a/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
+++ b/src/modules/mesh/inout/vtu/moduleMeshInputVTU.f90
@@ -548,6 +548,8 @@ MODULE moduleMeshInputVTU
       CALL readDataBlock(fileID, numNodes, temperature)
       REWIND(fileID)
 
+      close(fileID)
+
     END SUBROUTINE readInitialVTU
 
 END MODULE moduleMeshInputVTU

From 0c0017b84aaf27bf2deab22d2d95b1e7ce58a6cd Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 23 Jan 2026 15:21:26 +0100
Subject: [PATCH 198/203] txs auto checkin

---
 doc/user-manual/fpakc_UserManual.tex | 6 +++++-
 1 file changed, 5 insertions(+), 1 deletion(-)

diff --git a/doc/user-manual/fpakc_UserManual.tex b/doc/user-manual/fpakc_UserManual.tex
index e572331..845cc9a 100644
--- a/doc/user-manual/fpakc_UserManual.tex
+++ b/doc/user-manual/fpakc_UserManual.tex
@@ -1,5 +1,5 @@
 \documentclass[10pt,a4paper,twoside]{book}
-\usepackage[latin1]{inputenc}
+%\usepackage[latin1]{inputenc}
 \usepackage{amsmath}
 \usepackage{amsfonts}
 \usepackage{amssymb}
@@ -460,6 +460,10 @@ make
                                    \begin{itemize}
                                      \item \textbf{gmsh2}: \Gls{gmsh} file format in version 2.0. This has to be in ASCII format.
                                      \item \textbf{vtu}: \Gls{vtu} file format. This has to be in ASCII format.
+                                     \item \textbf{text}: Plain text file format only intended for 1D cases.
+                                                          This has to be in ASCII format and comma separated.
+                                                          The first column represents the position and the second column the physical ID of the node.
+                                                          Values have to be $1$ (left boundary), $2$ (right boundary), or $0$ (no boundary.)
                                    \end{itemize}
           \item \textbf{meshFile}: Character.
                                    Mesh filename.

From 56a17300f3fc872be2e1ae0f80b207bafe3e7f51 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Fri, 23 Jan 2026 15:26:23 +0100
Subject: [PATCH 199/203] Change in manual

---
 doc/logos/fpakc.pdf                        | Bin 0 -> 6823 bytes
 doc/user-manual/figures/logos/PPartiC.eps  | 177 ------------
 doc/user-manual/figures/logos/PPartiC.svg  | 159 -----------
 doc/user-manual/figures/logos/fpakc.eps    | 294 --------------------
 doc/user-manual/figures/scatteringQuad.eps | 303 ---------------------
 doc/user-manual/fpakc_UserManual.pdf       | Bin 187186 -> 271611 bytes
 6 files changed, 933 deletions(-)
 create mode 100644 doc/logos/fpakc.pdf
 delete mode 100644 doc/user-manual/figures/logos/PPartiC.eps
 delete mode 100644 doc/user-manual/figures/logos/PPartiC.svg
 delete mode 100644 doc/user-manual/figures/logos/fpakc.eps
 delete mode 100644 doc/user-manual/figures/scatteringQuad.eps

diff --git a/doc/logos/fpakc.pdf b/doc/logos/fpakc.pdf
new file mode 100644
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diff --git a/doc/user-manual/fpakc_UserManual.pdf b/doc/user-manual/fpakc_UserManual.pdf
index 1666f42de4b56c9b9e049349df1126da6f6f973f..5321ba4a3eface3b755b59540491b7e7b76399fa 100644
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S(Ss*U!8<7Z{JQpzl>HA1CtG*`


From 4747673d0a81af1ee55dad7bb197f595028d0625 Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez <jorge.gonzalez@upm.es>
Date: Wed, 28 Jan 2026 14:56:38 +0100
Subject: [PATCH 200/203] Bones of boundary

---
 src/modules/mesh/moduleMeshBoundary.f90 | 28 ++++++++++++-------------
 src/modules/moduleBoundary.f90          | 15 +++++++++----
 2 files changed, 25 insertions(+), 18 deletions(-)

diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 091e52e..655e4df 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -77,6 +77,20 @@ MODULE moduleMeshBoundary
 
     END SUBROUTINE transparent
 
+    !Symmetry axis. Reflects particles.
+    !Although this function should never be called, it is set as a reflective boundary
+    !to properly deal with possible particles reaching a corner and selecting this boundary.
+    SUBROUTINE symmetryAxis(edge, part)
+      USE moduleSpecies
+      IMPLICIT NONE
+
+      CLASS(meshEdge), INTENT(inout):: edge
+      CLASS(particle), INTENT(inout):: part
+
+      CALL reflection(edge, part)
+
+    END SUBROUTINE symmetryAxis
+
     !Wall with temperature
     SUBROUTINE wallTemperature(edge, part)
       USE moduleSpecies
@@ -204,20 +218,6 @@ MODULE moduleMeshBoundary
 
     END SUBROUTINE ionization
 
-    !Symmetry axis. Reflects particles.
-    !Although this function should never be called, it is set as a reflective boundary
-    !to properly deal with possible particles reaching a corner and selecting this boundary.
-    SUBROUTINE symmetryAxis(edge, part)
-      USE moduleSpecies
-      IMPLICIT NONE
-
-      CLASS(meshEdge), INTENT(inout):: edge
-      CLASS(particle), INTENT(inout):: part
-
-      CALL reflection(edge, part)
-
-    END SUBROUTINE symmetryAxis
-
     !Points the boundary function to specific type
     SUBROUTINE pointBoundaryFunction(edge, s)
       USE moduleErrors
diff --git a/src/modules/moduleBoundary.f90 b/src/modules/moduleBoundary.f90
index 0b76105..278870f 100644
--- a/src/modules/moduleBoundary.f90
+++ b/src/modules/moduleBoundary.f90
@@ -26,6 +26,12 @@ MODULE moduleBoundary
 
   END TYPE boundaryTransparent
 
+  !Symmetry axis
+  TYPE, PUBLIC, EXTENDS(boundaryGeneric):: boundaryAxis
+    CONTAINS
+
+  END TYPE boundaryAxis
+
   !Wall Temperature boundary
   TYPE, PUBLIC, EXTENDS(boundaryGeneric):: boundaryWallTemperature
     !Thermal velocity of the wall: square root(Wall temperature X specific heat)
@@ -47,11 +53,12 @@ MODULE moduleBoundary
 
   END TYPE boundaryIonization
 
-  !Symmetry axis
-  TYPE, PUBLIC, EXTENDS(boundaryGeneric):: boundaryAxis
-    CONTAINS
+  !Boundary for quasi-neutral outflow adjusting reflection coefficient
+  type, public, extends(boundaryGeneric):: boundaryOutflowAdaptive
+    real(8):: outflowCurrent
+    contains
 
-  END TYPE boundaryAxis
+  end type boundaryOutflowAdaptive
 
   !Wrapper for boundary types (one per species)
   TYPE:: bTypesCont

From 8d5cb6a516ec45917d9bae0516f0f2a34977d44f Mon Sep 17 00:00:00 2001
From: Jorge Gonzalez - Galactica <jorge.gonzalez@upm.es>
Date: Mon, 2 Feb 2026 14:31:58 +0100
Subject: [PATCH 201/203] Wrong surface in edges

Some edges were calculating the area surface incorrectly, which was leading to wrong densities.
---
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 | 1 -
 src/modules/mesh/1DRad/moduleMesh1DRad.f90   | 1 -
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 | 4 +---
 3 files changed, 1 insertion(+), 5 deletions(-)

diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index bbc72e2..a304c5e 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -104,7 +104,6 @@ MODULE moduleMesh1DCart
       USE moduleSpecies
       USE moduleBoundary
       USE moduleErrors
-      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(meshEdge1DCart), INTENT(out):: self
diff --git a/src/modules/mesh/1DRad/moduleMesh1DRad.f90 b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
index e260900..a46c6a2 100644
--- a/src/modules/mesh/1DRad/moduleMesh1DRad.f90
+++ b/src/modules/mesh/1DRad/moduleMesh1DRad.f90
@@ -104,7 +104,6 @@ MODULE moduleMesh1DRad
       USE moduleSpecies
       USE moduleBoundary
       USE moduleErrors
-      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(meshEdge1DRad), INTENT(out):: self
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index dcd2128..db1ef4f 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -144,7 +144,6 @@ MODULE moduleMesh2DCart
       USE moduleSpecies
       USE moduleBoundary
       USE moduleErrors
-      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(meshEdge2DCart), INTENT(out):: self
@@ -164,7 +163,7 @@ MODULE moduleMesh2DCart
       r2 = self%n2%getCoordinates()
       self%x  = (/r1(1), r2(1)/)
       self%y  = (/r1(2), r2(2)/)
-      self%surface = SQRT((self%x(2) - self%x(1))**2 + (self%y(2) - self%y(1))**2) / L_ref
+      self%surface = SQRT((self%x(2) - self%x(1))**2 + (self%y(2) - self%y(1))**2)
       !Normal vector
       self%normal = (/ -(self%y(2)-self%y(1)), &
                          self%x(2)-self%x(1) , &
@@ -559,7 +558,6 @@ MODULE moduleMesh2DCart
 
     !Compute element volume
     PURE SUBROUTINE volumeQuad(self)
-      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(meshCell2DCartQuad), INTENT(inout):: self

From 159f2e7620a355549ee64c8bbda579a0f94768c4 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Tue, 3 Feb 2026 10:15:12 +0100
Subject: [PATCH 202/203] Trying partial reflection

---
 src/modules/init/moduleInput.f90             | 108 ++++++++++---------
 src/modules/mesh/1DCart/moduleMesh1DCart.f90 |   1 -
 src/modules/mesh/2DCart/moduleMesh2DCart.f90 |   4 +-
 src/modules/mesh/moduleMeshBoundary.f90      |  29 ++++-
 src/modules/moduleBoundary.f90               |   1 +
 src/modules/moduleInject.f90                 |   8 +-
 6 files changed, 91 insertions(+), 60 deletions(-)

diff --git a/src/modules/init/moduleInput.f90 b/src/modules/init/moduleInput.f90
index 74da279..9f50947 100644
--- a/src/modules/init/moduleInput.f90
+++ b/src/modules/init/moduleInput.f90
@@ -829,71 +829,77 @@ MODULE moduleInput
         IF (nTypes /= nSpecies) CALL criticalError('Not enough boundary types defined in ' // object, 'readBoundary')
         ALLOCATE(boundary(i)%bTypes(1:nSpecies))
         DO s = 1, nSpecies
-          WRITE(sString,'(i2)') s
-          object = 'boundary(' // TRIM(iString) // ').bTypes(' // TRIM(sString) // ')'
-          CALL config%get(object // '.type', bType, found)
-          SELECT CASE(bType)
-          CASE('reflection')
-            ALLOCATE(boundaryReflection:: boundary(i)%bTypes(s)%obj)
+          associate(bound => boundary(i)%bTypes(s)%obj)
+            WRITE(sString,'(i2)') s
+            object = 'boundary(' // TRIM(iString) // ').bTypes(' // TRIM(sString) // ')'
+            CALL config%get(object // '.type', bType, found)
+            SELECT CASE(bType)
+            CASE('reflection')
+              ALLOCATE(boundaryReflection:: bound)
 
-          CASE('absorption')
-            ALLOCATE(boundaryAbsorption:: boundary(i)%bTypes(s)%obj)
+            CASE('absorption')
+              ALLOCATE(boundaryAbsorption:: bound)
 
-          CASE('transparent')
-            ALLOCATE(boundaryTransparent:: boundary(i)%bTypes(s)%obj)
+            CASE('transparent')
+              ALLOCATE(boundaryTransparent:: bound)
 
-          CASE('ionization')
-            !Neutral parameters
-            CALL config%get(object // '.neutral.ion', speciesName, found)
-            IF (.NOT. found) CALL criticalError("missing parameter 'ion' for neutrals in ionization", 'readBoundary')
-            speciesID = speciesName2Index(speciesName)
-            CALL config%get(object // '.neutral.mass', m0, found)
-            IF (.NOT. found) THEN
-              m0 = species(s)%obj%m*m_ref
-            END IF
-            CALL config%get(object // '.neutral.density', n0, found)
-            IF (.NOT. found) CALL criticalError("missing parameter 'density' for neutrals in ionization", 'readBoundary')
-            CALL config%get(object // '.neutral.velocity', v0, found)
-            IF (.NOT. found) CALL criticalError("missing parameter 'velocity' for neutrals in ionization", 'readBoundary')
-            CALL config%get(object // '.neutral.temperature', T0, found)
-            IF (.NOT. found) CALL criticalError("missing parameter 'temperature' for neutrals in ionization", 'readBoundary')
+            CASE('axis')
+              ALLOCATE(boundaryAxis:: bound)
 
-            CALL config%get(object // '.effectiveTime', effTime, found)
-            IF (.NOT. found) CALL criticalError("missing parameter 'effectiveTime' for ionization", 'readBoundary')
+            CASE('wallTemperature')
+              CALL config%get(object // '.temperature', Tw, found)
+              IF (.NOT. found) CALL criticalError("temperature not found for wallTemperature boundary type", 'readBoundary')
+              CALL config%get(object // '.specificHeat', cw, found)
+              IF (.NOT. found) CALL criticalError("specificHeat not found for wallTemperature boundary type", 'readBoundary')
 
-            CALL config%get(object // '.energyThreshold', eThreshold, found)
-            IF (.NOT. found) CALL criticalError("missing parameter 'eThreshold' in ionization", 'readBoundary')
+              CALL initWallTemperature(bound, Tw, cw)
 
-            CALL config%get(object // '.crossSection', crossSection, found)
-            IF (.NOT. found) CALL criticalError("missing parameter 'crossSection' for neutrals in ionization", 'readBoundary')
+            CASE('ionization')
+              !Neutral parameters
+              CALL config%get(object // '.neutral.ion', speciesName, found)
+              IF (.NOT. found) CALL criticalError("missing parameter 'ion' for neutrals in ionization", 'readBoundary')
+              speciesID = speciesName2Index(speciesName)
+              CALL config%get(object // '.neutral.mass', m0, found)
+              IF (.NOT. found) THEN
+                m0 = species(s)%obj%m*m_ref
+              END IF
+              CALL config%get(object // '.neutral.density', n0, found)
+              IF (.NOT. found) CALL criticalError("missing parameter 'density' for neutrals in ionization", 'readBoundary')
+              CALL config%get(object // '.neutral.velocity', v0, found)
+              IF (.NOT. found) CALL criticalError("missing parameter 'velocity' for neutrals in ionization", 'readBoundary')
+              CALL config%get(object // '.neutral.temperature', T0, found)
+              IF (.NOT. found) CALL criticalError("missing parameter 'temperature' for neutrals in ionization", 'readBoundary')
 
-            CALL config%get(object // '.electronSecondary', electronSecondary, found)
-            electronSecondaryID = speciesName2Index(electronSecondary)
-            IF (found) THEN
-              CALL initIonization(boundary(i)%bTypes(s)%obj, species(s)%obj%m, m0, n0, v0, T0, &
-                                                             speciesID, effTime, crossSection, eThreshold,electronSecondaryID)
+              CALL config%get(object // '.effectiveTime', effTime, found)
+              IF (.NOT. found) CALL criticalError("missing parameter 'effectiveTime' for ionization", 'readBoundary')
 
-            ELSE
-              CALL initIonization(boundary(i)%bTypes(s)%obj, species(s)%obj%m, m0, n0, v0, T0, &
-                                                             speciesID, effTime, crossSection, eThreshold)
+              CALL config%get(object // '.energyThreshold', eThreshold, found)
+              IF (.NOT. found) CALL criticalError("missing parameter 'eThreshold' in ionization", 'readBoundary')
 
-            END IF
+              CALL config%get(object // '.crossSection', crossSection, found)
+              IF (.NOT. found) CALL criticalError("missing parameter 'crossSection' for neutrals in ionization", 'readBoundary')
 
-          CASE('wallTemperature')
-            CALL config%get(object // '.temperature', Tw, found)
-            IF (.NOT. found) CALL criticalError("temperature not found for wallTemperature boundary type", 'readBoundary')
-            CALL config%get(object // '.specificHeat', cw, found)
-            IF (.NOT. found) CALL criticalError("specificHeat not found for wallTemperature boundary type", 'readBoundary')
+              CALL config%get(object // '.electronSecondary', electronSecondary, found)
+              electronSecondaryID = speciesName2Index(electronSecondary)
+              IF (found) THEN
+                CALL initIonization(bound, species(s)%obj%m, m0, n0, v0, T0, &
+                                                               speciesID, effTime, crossSection, eThreshold,electronSecondaryID)
 
-            CALL initWallTemperature(boundary(i)%bTypes(s)%obj, Tw, cw)
+              ELSE
+                CALL initIonization(bound, species(s)%obj%m, m0, n0, v0, T0, &
+                                                               speciesID, effTime, crossSection, eThreshold)
 
-          CASE('axis')
-            ALLOCATE(boundaryAxis:: boundary(i)%bTypes(s)%obj)
+              END IF
 
-          CASE DEFAULT
-            CALL criticalError('Boundary type ' // bType // ' undefined', 'readBoundary')
+            case('outflowAdaptive')
+              allocate(boundaryOutflowAdaptive:: bound)
 
-          END SELECT
+            CASE DEFAULT
+              CALL criticalError('Boundary type ' // bType // ' undefined', 'readBoundary')
+
+            END SELECT
+
+          end associate
 
         END DO
 
diff --git a/src/modules/mesh/1DCart/moduleMesh1DCart.f90 b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
index bbc72e2..a304c5e 100644
--- a/src/modules/mesh/1DCart/moduleMesh1DCart.f90
+++ b/src/modules/mesh/1DCart/moduleMesh1DCart.f90
@@ -104,7 +104,6 @@ MODULE moduleMesh1DCart
       USE moduleSpecies
       USE moduleBoundary
       USE moduleErrors
-      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(meshEdge1DCart), INTENT(out):: self
diff --git a/src/modules/mesh/2DCart/moduleMesh2DCart.f90 b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
index dcd2128..db1ef4f 100644
--- a/src/modules/mesh/2DCart/moduleMesh2DCart.f90
+++ b/src/modules/mesh/2DCart/moduleMesh2DCart.f90
@@ -144,7 +144,6 @@ MODULE moduleMesh2DCart
       USE moduleSpecies
       USE moduleBoundary
       USE moduleErrors
-      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(meshEdge2DCart), INTENT(out):: self
@@ -164,7 +163,7 @@ MODULE moduleMesh2DCart
       r2 = self%n2%getCoordinates()
       self%x  = (/r1(1), r2(1)/)
       self%y  = (/r1(2), r2(2)/)
-      self%surface = SQRT((self%x(2) - self%x(1))**2 + (self%y(2) - self%y(1))**2) / L_ref
+      self%surface = SQRT((self%x(2) - self%x(1))**2 + (self%y(2) - self%y(1))**2)
       !Normal vector
       self%normal = (/ -(self%y(2)-self%y(1)), &
                          self%x(2)-self%x(1) , &
@@ -559,7 +558,6 @@ MODULE moduleMesh2DCart
 
     !Compute element volume
     PURE SUBROUTINE volumeQuad(self)
-      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(meshCell2DCartQuad), INTENT(inout):: self
diff --git a/src/modules/mesh/moduleMeshBoundary.f90 b/src/modules/mesh/moduleMeshBoundary.f90
index 655e4df..deb4459 100644
--- a/src/modules/mesh/moduleMeshBoundary.f90
+++ b/src/modules/mesh/moduleMeshBoundary.f90
@@ -218,6 +218,28 @@ MODULE moduleMeshBoundary
 
     END SUBROUTINE ionization
 
+    subroutine outflowAdaptive(edge, part)
+      use moduleRandom
+      implicit none
+
+      class(meshEdge), intent(inout):: edge
+      class(particle), intent(inout):: part
+
+      select type(bound => edge%boundary%bTypes(part%species%n)%obj)
+      type is(boundaryOutflowAdaptive)
+
+        if (random() < 0.844d0) then
+          call reflection(edge, part)
+
+        else
+          call transparent(edge, part)
+
+        end if
+
+      end select
+
+    end subroutine outflowAdaptive
+
     !Points the boundary function to specific type
     SUBROUTINE pointBoundaryFunction(edge, s)
       USE moduleErrors
@@ -236,14 +258,17 @@ MODULE moduleMeshBoundary
       TYPE IS(boundaryTransparent)
         edge%fBoundary(s)%apply => transparent
 
+      TYPE IS(boundaryAxis)
+        edge%fBoundary(s)%apply => symmetryAxis
+
       TYPE IS(boundaryWallTemperature)
         edge%fBoundary(s)%apply => wallTemperature
 
       TYPE IS(boundaryIonization)
         edge%fBoundary(s)%apply => ionization
 
-      TYPE IS(boundaryAxis)
-        edge%fBoundary(s)%apply => symmetryAxis
+      type is(boundaryOutflowAdaptive)
+        edge%fBoundary(s)%apply => outflowAdaptive
 
       CLASS DEFAULT
         CALL criticalError("Boundary type not defined in this geometry", 'pointBoundaryFunction')
diff --git a/src/modules/moduleBoundary.f90 b/src/modules/moduleBoundary.f90
index 278870f..67465c7 100644
--- a/src/modules/moduleBoundary.f90
+++ b/src/modules/moduleBoundary.f90
@@ -56,6 +56,7 @@ MODULE moduleBoundary
   !Boundary for quasi-neutral outflow adjusting reflection coefficient
   type, public, extends(boundaryGeneric):: boundaryOutflowAdaptive
     real(8):: outflowCurrent
+    real(8):: reflectionFraction
     contains
 
   end type boundaryOutflowAdaptive
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index 528cb91..cb1c7fb 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -387,9 +387,11 @@ MODULE moduleInject
 
           partInj(n)%v = 0.D0
 
-          partInj(n)%v = self%vMod*direction +  (/ self%v(1)%obj%randomVel(), &
-                                                   self%v(2)%obj%randomVel(), &
-                                                   self%v(3)%obj%randomVel() /)
+          do while(dot_product(partInj(n)%v, direction) <= 0.d0)
+            partInj(n)%v = self%vMod*direction +  (/ self%v(1)%obj%randomVel(), &
+                                                     self%v(2)%obj%randomVel(), &
+                                                     self%v(3)%obj%randomVel() /)
+          end do
 
           !If injecting a no-drift distribution and velocity is negative, reflect
           if ((self%vMod == 0.D0) .and. &

From 23bba3100555218705995662374045ed8be6cad4 Mon Sep 17 00:00:00 2001
From: JGonzalez <jorge.gonzalez@upm.es>
Date: Wed, 4 Feb 2026 13:52:24 +0100
Subject: [PATCH 203/203] Fixed an issue with the random Maxwellian subroutines

---
 src/modules/common/moduleRandom.f90 | 23 +++++++++++------------
 src/modules/moduleInject.f90        | 14 ++++----------
 2 files changed, 15 insertions(+), 22 deletions(-)

diff --git a/src/modules/common/moduleRandom.f90 b/src/modules/common/moduleRandom.f90
index 156f5e4..1b8ec67 100644
--- a/src/modules/common/moduleRandom.f90
+++ b/src/modules/common/moduleRandom.f90
@@ -48,24 +48,23 @@ MODULE moduleRandom
     END FUNCTION randomIntAB
 
     !Returns a random number in a Maxwellian distribution of mean 0 and width 1 with the Box-Muller Method
-    FUNCTION randomMaxwellian() RESULT(rnd)
-      USE moduleConstParam, ONLY: PI
-      IMPLICIT NONE
+    function randomMaxwellian() result(rnd)
+      USE moduleConstParam, only: pi
+      implicit none
 
-      REAL(8):: rnd
-      REAL(8):: v1, v2, Rsquare
+      real(8):: rnd
+      real(8):: v1, v2, Rsquare
 
-      Rsquare = 1.D0
-      do while (Rsquare >= 1.D0 .and. Rsquare > 0.D0)
-        v1 = 2.D0 * random() - 1.D0
-        v2 = 2.D0 * random() - 1.D0
-        Rsquare = v1**2 + v2**2
+      v1 = 0.d0
+      do while (v1 <= 0.d0)
+        v1 = random()
 
       end do
+      v2 = random()
 
-      rnd = v2 * sqrt(-2.D0 * log(Rsquare) / Rsquare)
+      rnd = sqrt(-2.d0*log(v1))*cos(2*pi*v2)
 
-    END FUNCTION randomMaxwellian
+    end function randomMaxwellian
 
     !Returns a random number in a Maxwellian distribution of mean 0 and width 1
     FUNCTION randomHalfMaxwellian() RESULT(rnd)
diff --git a/src/modules/moduleInject.f90 b/src/modules/moduleInject.f90
index cb1c7fb..ff8a694 100644
--- a/src/modules/moduleInject.f90
+++ b/src/modules/moduleInject.f90
@@ -257,7 +257,7 @@ MODULE moduleInject
       CLASS(velDistGeneric), ALLOCATABLE, INTENT(out):: velDist
       REAL(8), INTENT(in):: temperature, m
 
-      velDist = velDistMaxwellian(vTh = DSQRT(temperature/m))
+      velDist = velDistMaxwellian(vTh = DSQRT(2.d0*temperature/m))
 
     END SUBROUTINE initVelDistMaxwellian
 
@@ -267,7 +267,7 @@ MODULE moduleInject
       CLASS(velDistGeneric), ALLOCATABLE, INTENT(out):: velDist
       REAL(8), INTENT(in):: temperature, m
 
-      velDist = velDistHalfMaxwellian(vTh = DSQRT(temperature/m))
+      velDist = velDistHalfMaxwellian(vTh = DSQRT(2.d0*temperature/m))
 
     END SUBROUTINE initVelDistHalfMaxwellian
 
@@ -289,7 +289,7 @@ MODULE moduleInject
       REAL(8):: v
       v = 0.D0
 
-      v = sqrt(2.0)*self%vTh*randomMaxwellian()
+      v = self%vTh*randomMaxwellian()/sqrt(2.d0)
 
     END FUNCTION randomVelMaxwellian
 
@@ -302,7 +302,7 @@ MODULE moduleInject
       REAL(8):: v
       v = 0.D0
 
-      v = sqrt(2.0)*self%vTh*randomHalfMaxwellian()
+      v = self%vTh*randomHalfMaxwellian()/sqrt(2.d0)
 
     END FUNCTION randomVelHalfMaxwellian
 
@@ -393,12 +393,6 @@ MODULE moduleInject
                                                      self%v(3)%obj%randomVel() /)
           end do
 
-          !If injecting a no-drift distribution and velocity is negative, reflect
-          if ((self%vMod == 0.D0) .and. &
-              (dot_product(direction, partInj(n)%v) < 0.D0)) then
-            partInj(n)%v = - partInj(n)%v
-
-          end if
 
           !Obtain natural coordinates of particle in cell
           partInj(n)%Xi = mesh%cells(partInj(n)%cell)%obj%phy2log(partInj(n)%r)