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
This commit is contained in:
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7b7a5c45ca
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746c5bea09
13 changed files with 260 additions and 252 deletions
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@ -6,7 +6,8 @@ MODULE moduleConstParam
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REAL(8), PARAMETER:: PI = 4.D0*DATAN(1.D0) !number pi
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REAL(8), PARAMETER:: PI2 = 2.D0*PI !2*pi
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REAL(8), PARAMETER:: PI8 = 8.D0*PI !2*pi
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REAL(8), PARAMETER:: PI4 = 4.D0*PI !4*pi
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REAL(8), PARAMETER:: PI8 = 8.D0*PI !8*pi
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REAL(8), PARAMETER:: sccm2atomPerS = 4.5D17 !sccm to atom s^-1
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REAL(8), PARAMETER:: qe = 1.60217662D-19 !Elementary charge
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REAL(8), PARAMETER:: kb = 1.38064852D-23 !Boltzmann constants SI
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@ -354,7 +354,7 @@ MODULE moduleInput
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CALL config%get(object // '.file', spFile, found)
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!Reads node values at the nodes
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filename = path // spFile
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CALL mesh%readInitial(sp, filename, density, velocity, temperature)
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CALL mesh%readInitial(filename, density, velocity, temperature)
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!For each volume in the node, create corresponding particles
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DO e = 1, mesh%numCells
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!Scale variables
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@ -378,9 +378,9 @@ MODULE moduleInput
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ALLOCATE(partNew)
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partNew%species => species(sp)%obj
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partNew%r = mesh%cells(e)%obj%randPos()
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partNew%xi = mesh%cells(e)%obj%phy2log(partNew%r)
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partNew%Xi = mesh%cells(e)%obj%phy2log(partNew%r)
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!Get mean velocity at particle position
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fPsi = mesh%cells(e)%obj%fPsi(partNew%xi, nNodes)
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fPsi = mesh%cells(e)%obj%fPsi(partNew%Xi, nNodes)
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DO j = 1, nNodes
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source(j) = velocity(nodes(j), 1)
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@ -645,7 +645,7 @@ MODULE moduleInput
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INTEGER:: e
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CLASS(meshCell), POINTER:: vol
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!Firstly, checks if the object 'interactions' exists
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!Firstly, check if the object 'interactions' exists
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CALL config%info('interactions', found)
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IF (found) THEN
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!Checks if MC collisions have been defined
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@ -41,7 +41,6 @@ MODULE moduleMesh1DCart
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CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL()
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!Connectivity to adjacent elements
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CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL()
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REAL(8):: arNodes(1:2)
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CONTAINS
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!meshCell DEFERRED PROCEDURES
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PROCEDURE, PASS:: init => initCell1DCartSegm
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@ -60,7 +59,7 @@ MODULE moduleMesh1DCart
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PROCEDURE, PASS:: phy2log => phy2logSegm
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PROCEDURE, PASS:: neighbourElement => neighbourElementSegm
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!PARTICLUAR PROCEDURES
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PROCEDURE, PASS, PRIVATE:: area => areaSegm
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PROCEDURE, PASS, PRIVATE:: vol => volumeSegm
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END TYPE meshCell1DCartSegm
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@ -100,7 +99,7 @@ MODULE moduleMesh1DCart
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END FUNCTION getCoord1DCart
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!EDGE FUNCTIONS
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!Inits edge element
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!Init edge element
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SUBROUTINE initEdge1DCart(self, n, p, bt, physicalSurface)
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USE moduleSpecies
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USE moduleBoundary
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@ -162,7 +161,7 @@ MODULE moduleMesh1DCart
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END FUNCTION intersection1DCart
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!Calculates a 'random' position in edge
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!Calculate a 'random' position in edge
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FUNCTION randPosEdge(self) RESULT(r)
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CLASS(meshEdge1DCart), INTENT(in):: self
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REAL(8):: r(1:3)
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@ -173,7 +172,7 @@ MODULE moduleMesh1DCart
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!VOLUME FUNCTIONS
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!SEGMENT FUNCTIONS
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!Init segment element
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!Init element
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SUBROUTINE initCell1DCartSegm(self, n, p, nodes)
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USE moduleRefParam
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IMPLICIT NONE
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@ -194,9 +193,7 @@ MODULE moduleMesh1DCart
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self%x = (/ r1(1), r2(1) /)
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!Assign node volume
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CALL self%area()
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self%n1%v = self%n1%v + self%arNodes(1)
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self%n2%v = self%n2%v + self%arNodes(2)
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CALL self%vol()
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CALL OMP_INIT_LOCK(self%lock)
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@ -237,7 +234,7 @@ MODULE moduleMesh1DCart
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END FUNCTION randPos1DCartSegm
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!Computes element functions at point Xi
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!Compute element functions at point Xi
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PURE FUNCTION fPsiSegm(Xi, nNodes) RESULT(fPsi)
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IMPLICIT NONE
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@ -317,7 +314,7 @@ MODULE moduleMesh1DCart
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END FUNCTION gatherMFSegm
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!Computes element local stiffness matrix
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!Compute element local stiffness matrix
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PURE FUNCTION elemKSegm(self, nNodes) RESULT(localK)
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IMPLICIT NONE
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@ -348,7 +345,7 @@ MODULE moduleMesh1DCart
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END FUNCTION elemKSegm
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!Computes the local source vector for a force f
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!Compute the local source vector for a force f
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PURE FUNCTION elemFSegm(self, nNodes, source) RESULT(localF)
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IMPLICIT NONE
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@ -422,8 +419,8 @@ MODULE moduleMesh1DCart
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END SUBROUTINE neighbourElementSegm
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!Computes element area
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PURE SUBROUTINE areaSegm(self)
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!Compute element vol
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PURE SUBROUTINE volumeSegm(self)
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IMPLICIT NONE
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CLASS(meshCell1DCartSegm), INTENT(inout):: self
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@ -433,22 +430,22 @@ MODULE moduleMesh1DCart
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REAL(8):: fPsi(1:2)
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self%volume = 0.D0
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self%arNodes = 0.D0
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!1D 1 point Gauss Quad Integral
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Xi = 0.D0
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dPsi = self%dPsi(Xi, 2)
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pDer = self%partialDer(2, dPsi)
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detJ = self%detJac(pDer)
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fPsi = self%fPsi(Xi, 2)
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!Computes total volume of the cell
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!Compute total volume of the cell
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self%volume = detJ*2.D0
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!Computes volume per node
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self%arNodes = fPsi*self%volume
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!Compute volume per node
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self%n1%v = self%n1%v + fPsi(1)*self%volume
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self%n2%v = self%n2%v + fPsi(2)*self%volume
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END SUBROUTINE areaSegm
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END SUBROUTINE volumeSegm
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!COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
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!Computes element Jacobian determinant
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!Compute element Jacobian determinant
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PURE FUNCTION detJ1DCart(pDer) RESULT(dJ)
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IMPLICIT NONE
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@ -459,7 +456,7 @@ MODULE moduleMesh1DCart
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END FUNCTION detJ1DCart
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!Computes element Jacobian inverse matrix (without determinant)
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!Compute element Jacobian inverse matrix (without determinant)
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PURE FUNCTION invJ1DCart(pDer) RESULT(invJ)
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IMPLICIT NONE
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@ -575,7 +572,7 @@ MODULE moduleMesh1DCart
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elemA%e1 => elemB
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elemB%e2 => elemA
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!Revers the normal to point inside the domain
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!Rever the normal to point inside the domain
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elemB%normal = - elemB%normal
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END IF
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@ -41,7 +41,6 @@ MODULE moduleMesh1DRad
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CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL()
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!Connectivity to adjacent elements
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CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL()
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REAL(8):: arNodes(1:2)
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CONTAINS
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!meshCell DEFERRED PROCEDURES
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PROCEDURE, PASS:: init => initCell1DRadSegm
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@ -60,7 +59,7 @@ MODULE moduleMesh1DRad
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PROCEDURE, PASS:: phy2log => phy2logSegm
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PROCEDURE, PASS:: neighbourElement => neighbourElementSegm
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!PARTICLUAR PROCEDURES
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PROCEDURE, PASS, PRIVATE:: area => areaSegm
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PROCEDURE, PASS, PRIVATE:: vol => volumeSegm
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END TYPE meshCell1DRadSegm
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@ -82,7 +81,7 @@ MODULE moduleMesh1DRad
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!Node volume, to be determined in mesh
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self%v = 0.D0
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!Allocates output
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!Allocate output
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ALLOCATE(self%output(1:nSpecies))
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CALL OMP_INIT_LOCK(self%lock)
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@ -100,7 +99,7 @@ MODULE moduleMesh1DRad
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END FUNCTION getCoord1DRad
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!EDGE FUNCTIONS
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!Inits edge element
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!Init edge element
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SUBROUTINE initEdge1DRad(self, n, p, bt, physicalSurface)
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USE moduleSpecies
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USE moduleBoundary
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@ -162,7 +161,7 @@ MODULE moduleMesh1DRad
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END FUNCTION intersection1DRad
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!Calculates a 'random' position in edge
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!Calculate a 'random' position in edge
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FUNCTION randPos1DRad(self) RESULT(r)
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CLASS(meshEdge1DRad), INTENT(in):: self
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REAL(8):: r(1:3)
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@ -173,7 +172,7 @@ MODULE moduleMesh1DRad
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!VOLUME FUNCTIONS
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!SEGMENT FUNCTIONS
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!Init segment element
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!Init element
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SUBROUTINE initCell1DRadSegm(self, n, p, nodes)
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USE moduleRefParam
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IMPLICIT NONE
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@ -194,9 +193,7 @@ MODULE moduleMesh1DRad
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self%r = (/ r1(1), r2(1) /)
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!Assign node volume
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CALL self%area()
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self%n1%v = self%n1%v + self%arNodes(1)
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self%n2%v = self%n2%v + self%arNodes(2)
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CALL self%vol()
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CALL OMP_INIT_LOCK(self%lock)
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@ -237,7 +234,7 @@ MODULE moduleMesh1DRad
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END FUNCTION randPos1DRadSegm
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!Computes element functions at point Xi
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!Compute element functions at point Xi
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PURE FUNCTION fPsiSegm(Xi, nNodes) RESULT(fPsi)
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IMPLICIT NONE
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@ -317,7 +314,7 @@ MODULE moduleMesh1DRad
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END FUNCTION gatherMFSegm
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!Computes element local stiffness matrix
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!Compute element local stiffness matrix
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PURE FUNCTION elemKSegm(self, nNodes) RESULT(localK)
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USE moduleConstParam, ONLY: PI2
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IMPLICIT NONE
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@ -352,7 +349,7 @@ MODULE moduleMesh1DRad
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END FUNCTION elemKSegm
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!Computes the local source vector for a force f
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!Compute the local source vector for a force f
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PURE FUNCTION elemFSegm(self, nNodes, source) RESULT(localF)
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USE moduleConstParam, ONLY: PI2
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IMPLICIT NONE
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@ -430,9 +427,9 @@ MODULE moduleMesh1DRad
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END SUBROUTINE neighbourElementSegm
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!Computes element area
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PURE SUBROUTINE areaSegm(self)
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USE moduleConstParam, ONLY: PI
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!Compute element vol
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PURE SUBROUTINE volumeSegm(self)
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USE moduleConstParam, ONLY: PI4
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IMPLICIT NONE
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CLASS(meshCell1DRadSegm), INTENT(inout):: self
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@ -443,28 +440,27 @@ MODULE moduleMesh1DRad
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REAL(8):: r
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self%volume = 0.D0
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self%arNodes = 0.D0
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!1D 1 point Gauss Quad Integral
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Xi = 0.D0
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dPsi = self%dPsi(Xi, 2)
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pDer = self%partialDer(2, dPsi)
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detJ = self%detJac(pDer)
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fPsi = self%fPsi(Xi, 2)
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!Computes total volume of the cell
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r = DOT_PRODUCT(fPsi, self%r)
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self%volume = r*detJ*2.D0*PI !2PI
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!Computes volume per node
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!Compute total volume of the cell
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self%volume = r*detJ*PI4 !2*2PI
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!Compute volume per node
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Xi = (/-5.D-1, 0.D0, 0.D0/)
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r = self%gatherF(Xi, 2, self%r)
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self%arNodes(1) = fPsi(1)*self%volume
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self%n1%v = self%n1%v + fPsi(1)*r*detJ*PI4
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Xi = (/ 5.D-1, 0.D0, 0.D0/)
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r = self%gatherF(Xi, 2, self%r)
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self%arNodes(2) = fPsi(2)*self%volume
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self%n2%v = self%n2%v + fPsi(2)*r*detJ*PI4
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END SUBROUTINE areaSegm
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END SUBROUTINE volumeSegm
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!COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
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!Computes element Jacobian determinant
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!Compute element Jacobian determinant
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PURE FUNCTION detJ1DRad(pDer) RESULT(dJ)
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IMPLICIT NONE
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@ -475,7 +471,7 @@ MODULE moduleMesh1DRad
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END FUNCTION detJ1DRad
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!Computes element Jacobian inverse matrix (without determinant)
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!Compute element Jacobian inverse matrix (without determinant)
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PURE FUNCTION invJ1DRad(pDer) RESULT(invJ)
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IMPLICIT NONE
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@ -591,7 +587,7 @@ MODULE moduleMesh1DRad
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elemA%e1 => elemB
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elemB%e2 => elemA
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!Revers the normal to point inside the domain
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!Rever the normal to point inside the domain
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elemB%normal = - elemB%normal
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END IF
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@ -47,7 +47,6 @@ MODULE moduleMesh2DCart
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CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL(), n4 => NULL()
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!Connectivity to adjacent elements
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CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
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REAL(8):: arNodes(1:4) = 0.D0
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CONTAINS
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!meshCell DEFERRED PROCEDURES
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@ -67,7 +66,7 @@ MODULE moduleMesh2DCart
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PROCEDURE, PASS:: phy2log => phy2logQuad
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PROCEDURE, PASS:: neighbourElement => neighbourElementQuad
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!PARTICLUAR PROCEDURES
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PROCEDURE, PASS, PRIVATE:: area => areaQuad
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PROCEDURE, PASS, PRIVATE:: vol => volumeQuad
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END TYPE meshCell2DCartQuad
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@ -79,7 +78,6 @@ MODULE moduleMesh2DCart
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CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL()
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!Connectivity to adjacent elements
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CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL()
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REAL(8):: arNodes(1:3) = 0.D0
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CONTAINS
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!meshCell DEFERRED PROCEDURES
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@ -99,7 +97,7 @@ MODULE moduleMesh2DCart
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PROCEDURE, PASS:: phy2log => phy2logTria
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PROCEDURE, PASS:: neighbourElement => neighbourElementTria
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!PARTICULAR PROCEDURES
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PROCEDURE, PASS, PRIVATE:: area => areaTria
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PROCEDURE, PASS, PRIVATE:: vol => volumeTria
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END TYPE meshCell2DCartTria
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@ -141,7 +139,7 @@ MODULE moduleMesh2DCart
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END FUNCTION getCoord2DCart
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!EDGE FUNCTIONS
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!Inits edge element
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!Init edge element
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SUBROUTINE initEdge2DCart(self, n, p, bt, physicalSurface)
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USE moduleSpecies
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USE moduleBoundary
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@ -198,6 +196,7 @@ MODULE moduleMesh2DCart
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END FUNCTION getNodes2DCart
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!Calculate intersection between position and edge
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PURE FUNCTION intersection2DCartEdge(self, r0) RESULT(r)
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IMPLICIT NONE
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@ -216,7 +215,7 @@ MODULE moduleMesh2DCart
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END FUNCTION intersection2DCartEdge
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!Calculates a random position in edge
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!Calculate a random position in edge
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FUNCTION randPosEdge(self) RESULT(r)
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USE moduleRandom
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IMPLICIT NONE
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@ -237,7 +236,7 @@ MODULE moduleMesh2DCart
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!VOLUME FUNCTIONS
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!QUAD FUNCTIONS
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!Inits quadrilateral element
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!Init element
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SUBROUTINE initCellQuad2DCart(self, n, p, nodes)
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USE moduleRefParam
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IMPLICIT NONE
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@ -268,11 +267,7 @@ MODULE moduleMesh2DCart
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self%y = (/r1(2), r2(2), r3(2), r4(2)/)
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!Assign node volume
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CALL self%area()
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self%n1%v = self%n1%v + self%arNodes(1)
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self%n2%v = self%n2%v + self%arNodes(2)
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self%n3%v = self%n3%v + self%arNodes(3)
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self%n4%v = self%n4%v + self%arNodes(4)
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CALL self%vol()
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CALL OMP_INIT_LOCK(self%lock)
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@ -303,19 +298,19 @@ MODULE moduleMesh2DCart
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REAL(8):: Xi(1:3)
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REAL(8):: fPsi(1:4)
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Xi = 0.D0
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Xi(1) = random(-1.D0, 1.D0)
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Xi(2) = random(-1.D0, 1.D0)
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||||
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
|
||||
|
||||
|
|
@ -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
|
||||
|
||||
|
|
@ -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
|
||||
|
||||
|
|
@ -757,6 +753,7 @@ MODULE moduleMesh2DCart
|
|||
INTEGER:: l
|
||||
|
||||
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
|
||||
|
||||
|
|
@ -787,6 +784,7 @@ MODULE moduleMesh2DCart
|
|||
INTEGER:: l
|
||||
|
||||
localF = 0.D0
|
||||
|
||||
Xi = 0.D0
|
||||
!Start 2D Gauss Quad Integral
|
||||
DO l = 1, 4
|
||||
|
|
@ -803,6 +801,7 @@ MODULE moduleMesh2DCart
|
|||
|
||||
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
|
||||
!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
|
||||
|
||||
|
|
|
|||
|
|
@ -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
|
||||
|
||||
|
|
@ -350,12 +345,12 @@ MODULE moduleMesh2DCyl
|
|||
|
||||
dPsi = 0.D0
|
||||
|
||||
dPsi(1,:) = (/ -(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)), &
|
||||
dPsi(2, 1:4) = (/ -(1.D0 - Xi(1)), &
|
||||
-(1.D0 + Xi(1)), &
|
||||
(1.D0 + Xi(1)), &
|
||||
(1.D0 - Xi(1)) /)
|
||||
|
|
@ -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
|
||||
|
||||
|
|
@ -440,6 +436,7 @@ MODULE moduleMesh2DCyl
|
|||
INTEGER:: l, m
|
||||
|
||||
localK = 0.D0
|
||||
|
||||
Xi = 0.D0
|
||||
!Start 2D Gauss Quad Integral
|
||||
DO l = 1, 3
|
||||
|
|
@ -479,6 +476,7 @@ MODULE moduleMesh2DCyl
|
|||
INTEGER:: l, m
|
||||
|
||||
localF = 0.D0
|
||||
|
||||
Xi = 0.D0
|
||||
DO l = 1, 3
|
||||
Xi(1) = corQuad(l)
|
||||
|
|
@ -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
|
||||
|
|
@ -785,6 +782,7 @@ MODULE moduleMesh2DCyl
|
|||
INTEGER:: l
|
||||
|
||||
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
|
||||
|
||||
|
|
|
|||
|
|
@ -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
|
||||
|
|
|
|||
|
|
@ -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
|
||||
|
|
|
|||
|
|
@ -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
|
||||
|
|
|
|||
|
|
@ -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
|
||||
|
|
|
|||
|
|
@ -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
|
||||
|
|
|
|||
|
|
@ -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
|
||||
|
||||
|
|
|
|||
|
|
@ -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
|
||||
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue