Trying to reduce warnings and unused variables in the code. This should not be in this branch.
1268 lines
40 KiB
Fortran
1268 lines
40 KiB
Fortran
!moduleMesh: General module for Finite Element mesh
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MODULE moduleMesh
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USE moduleList
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USE moduleOutput
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USE moduleBoundary
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USE moduleCollisions
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IMPLICIT NONE
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!Generic mesh element
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TYPE, PUBLIC, ABSTRACT:: meshElement
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!Index
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INTEGER:: n = 0
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CONTAINS
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END TYPE meshElement
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!Parent of Node element
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TYPE, PUBLIC, ABSTRACT, EXTENDS(meshElement):: meshNode
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!Node volume
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REAL(8):: v = 0.D0
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!Output values
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TYPE(outputNode), ALLOCATABLE:: output(:)
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TYPE(emNode):: emData
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!Lock indicator for scattering
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INTEGER(KIND=OMP_LOCK_KIND):: lock
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CONTAINS
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!DEFERED PROCEDURES
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PROCEDURE(initNode_interface), DEFERRED, PASS:: init
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PROCEDURE(getCoord_interface), DEFERRED, PASS:: getCoordinates
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!GENERIC PROCEDURES
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PROCEDURE, PASS:: resetOutput
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END TYPE meshNode
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ABSTRACT INTERFACE
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!Interface of init a node (3D generic coordinates)
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SUBROUTINE initNode_interface(self, n, r)
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IMPORT:: meshNode
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CLASS(meshNode), INTENT(out):: self
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INTEGER, INTENT(in):: n
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REAL(8), INTENT(in):: r(1:3)
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END SUBROUTINE initNode_interface
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!Interface to get coordinates from node
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PURE FUNCTION getCoord_interface(self) RESULT(r)
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IMPORT:: meshNode
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CLASS(meshNode), INTENT(in):: self
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REAL(8):: r(1:3)
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END FUNCTION getCoord_interface
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END INTERFACE
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!Containers for nodes in the mesh
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TYPE:: meshNodeCont
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CLASS(meshNode), ALLOCATABLE:: obj
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CONTAINS
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END TYPE meshNodeCont
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!Type for array of boundary functions (one per species)
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TYPE, PUBLIC:: fBoundaryGeneric
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PROCEDURE(boundary_interface), POINTER, NOPASS:: apply => NULL()
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CONTAINS
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END TYPE
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!Parent of Edge element
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TYPE, PUBLIC, ABSTRACT, EXTENDS(meshElement):: meshEdge
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!Nomber of nodes in the edge
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INTEGER:: nNodes
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!Connectivity to cells
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CLASS(meshCell), POINTER:: e1 => NULL(), e2 => NULL()
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!Connectivity to cells in meshColl
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CLASS(meshCell), POINTER:: eColl => NULL()
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!Normal vector
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REAL(8):: normal(1:3)
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! Surface of edge
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REAL(8):: surface = 0.D0
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!Pointer to boundary type
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TYPE(boundaryCont), POINTER:: boundary
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!Array of functions for boundary conditions
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TYPE(fBoundaryGeneric), ALLOCATABLE:: fBoundary(:)
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!Physical surface for the edge
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INTEGER:: physicalSurface
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CONTAINS
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!DEFERED PROCEDURES
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PROCEDURE(initEdge_interface), DEFERRED, PASS:: init
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PROCEDURE(getNodesEdge_interface), DEFERRED, PASS:: getNodes
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PROCEDURE(intersectionEdge_interface), DEFERRED, PASS:: intersection
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PROCEDURE(randPosEdge_interface), DEFERRED, PASS:: randPos
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END TYPE meshEdge
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ABSTRACT INTERFACE
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!Inits the edge parameters
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SUBROUTINE initEdge_interface(self, n, p, bt, physicalSurface)
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IMPORT:: meshEdge
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CLASS(meshEdge), INTENT(out):: self
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INTEGER, INTENT(in):: n
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INTEGER, INTENT(in):: p(:)
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INTEGER, INTENT(in):: bt
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INTEGER, INTENT(in):: physicalSurface
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END SUBROUTINE initEdge_interface
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!Get nodes index from node
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PURE FUNCTION getNodesEdge_interface(self, nNodes) RESULT(n)
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IMPORT:: meshEdge
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CLASS(meshEdge), INTENT(in):: self
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INTEGER, INTENT(in):: nNodes
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INTEGER:: n(1:nNodes)
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END FUNCTION getNodesEdge_interface
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!Returns the intersecction between an edge and a line defined by point r0
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PURE FUNCTION intersectionEdge_interface(self, r0) RESULT(r)
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IMPORT:: meshEdge
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CLASS(meshEdge), INTENT(in):: self
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REAL(8), INTENT(in), DIMENSION(1:3):: r0
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REAL(8):: r(1:3)
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END FUNCTION intersectionEdge_interface
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!Returns a random position in the edge
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FUNCTION randPosEdge_interface(self) RESULT(r)
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IMPORT:: meshEdge
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CLASS(meshEdge), INTENT(in):: self
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REAL(8):: r(1:3)
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END FUNCTION randPosEdge_interface
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END INTERFACE
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INTERFACE
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SUBROUTINE boundary_interface(edge, part)
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USE moduleSpecies
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IMPORT:: meshEdge
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CLASS (meshEdge), INTENT(inout):: edge
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CLASS (particle), INTENT(inout):: part
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END SUBROUTINE
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END INTERFACE
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!Containers for edges in the mesh
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TYPE:: meshEdgeCont
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CLASS(meshEdge), ALLOCATABLE:: obj
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END TYPE meshEdgeCont
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!Parent of cell element
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TYPE, PUBLIC, ABSTRACT, EXTENDS(meshElement):: meshCell
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!Number of nodes in the cell
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INTEGER:: nNodes
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!Maximum collision rate
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REAL(8), ALLOCATABLE:: sigmaVrelMax(:)
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!Arrays for counting number of collisions
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TYPE(tallyCollisions), ALLOCATABLE:: tallyColl(:)
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!Volume
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REAL(8):: volume = 0.D0
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!List of particles inside the volume
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TYPE(listNode), ALLOCATABLE:: listPart_in(:)
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!Lock indicator for listPart_in
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INTEGER(KIND=OMP_LOCK_KIND):: lock
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!Total weight of particles inside cell
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REAL(8), ALLOCATABLE:: totalWeight(:)
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CONTAINS
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!DEFERRED PROCEDURES
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!Init the cell
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PROCEDURE(initCell_interface), DEFERRED, PASS:: init
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!Get the index of the nodes
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PROCEDURE(getNodesCell_interface), DEFERRED, PASS:: getNodes
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!Calculate random position on the cell
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PROCEDURE(randPosCell_interface), DEFERRED, PASS:: randPos
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!Obtain functions and values of cell natural functions
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PROCEDURE(fPsi_interface), DEFERRED, NOPASS:: fPsi
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PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
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PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
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PROCEDURE(detJac_interface), DEFERRED, NOPASS:: detJac
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PROCEDURE(invJac_interface), DEFERRED, NOPASS:: invJac
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!Procedures to get specific values in the node
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PROCEDURE(gatherArray_interface), DEFERRED, PASS:: gatherElectricField
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PROCEDURE(gatherArray_interface), DEFERRED, PASS:: gatherMagneticField
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!Compute K and F to solve PDE on the mesh
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PROCEDURE(elemK_interface), DEFERRED, PASS:: elemK
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PROCEDURE(elemF_interface), DEFERRED, PASS:: elemF
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!Check if particle is inside the cell
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PROCEDURE(inside_interface), DEFERRED, NOPASS:: inside
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!Convert physical coordinates (r) into logical coordinates (Xi)
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PROCEDURE(phy2log_interface), DEFERRED, PASS:: phy2log
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!Returns the neighbour element based on particle position outside the cell
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PROCEDURE(neighbourElement_interface), DEFERRED, PASS:: neighbourElement
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!Scatter properties of particles on cell nodes
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PROCEDURE, PASS:: scatter
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!Subroutine to find in which cell a particle is located
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PROCEDURE, PASS:: findCell
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!Gather value and spatial derivative on the nodes at position Xi
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PROCEDURE, PASS, PRIVATE:: gatherF_scalar
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PROCEDURE, PASS, PRIVATE:: gatherF_array
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PROCEDURE, PASS, PRIVATE:: gatherDF_scalar
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GENERIC:: gatherF => gatherF_scalar, gatherF_array
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GENERIC:: gatherDF => gatherDF_scalar
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END TYPE meshCell
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ABSTRACT INTERFACE
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SUBROUTINE initCell_interface(self, n, p, nodes)
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IMPORT:: meshCell
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IMPORT meshNodeCont
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CLASS(meshCell), INTENT(out):: self
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INTEGER, INTENT(in):: n
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INTEGER, INTENT(in):: p(:)
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TYPE(meshNodeCont), INTENT(in), TARGET:: nodes(:)
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END SUBROUTINE initCell_interface
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PURE FUNCTION getNodesCell_interface(self, nNodes) RESULT(n)
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IMPORT:: meshCell
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CLASS(meshCell), INTENT(in):: self
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INTEGER, INTENT(in):: nNodes
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INTEGER:: n(1:nNodes)
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END FUNCTION getNodesCell_interface
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FUNCTION randPosCell_interface(self) RESULT(r)
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IMPORT:: meshCell
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CLASS(meshCell), INTENT(in):: self
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REAL(8):: r(1:3)
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END FUNCTION randPosCell_interface
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PURE FUNCTION fPsi_interface(Xi, nNodes) RESULT(fPsi)
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REAL(8), INTENT(in):: Xi(1:3)
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INTEGER, INTENT(in):: nNodes
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REAL(8):: fPsi(1:nNodes)
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END FUNCTION fPsi_interface
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PURE FUNCTION dPsi_interface(Xi, nNodes) RESULT(dPsi)
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REAL(8), INTENT(in):: Xi(1:3)
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INTEGER, INTENT(in):: nNodes
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REAL(8):: dPsi(1:3, 1:nNodes)
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END FUNCTION dPsi_interface
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PURE FUNCTION partialDer_interface(self, nNodes, dPsi) RESULT(pDer)
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IMPORT:: meshCell
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CLASS(meshCell), INTENT(in):: self
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INTEGER, INTENT(in):: nNodes
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REAL(8), INTENT(in):: dPsi(1:3, 1:nNodes)
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REAL(8):: pDer(1:3, 1:3)
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END FUNCTION partialDer_interface
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PURE FUNCTION detJac_interface(pDer) RESULT(dJ)
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REAL(8), INTENT(in):: pDer(1:3,1:3)
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REAL(8):: dJ
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END FUNCTION detJac_interface
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PURE FUNCTION invJac_interface(pDer) RESULT(invJ)
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REAL(8), INTENT(in):: pDer(1:3,1:3)
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REAL(8):: invJ(1:3,1:3)
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END FUNCTION invJac_interface
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PURE FUNCTION gatherArray_interface(self, Xi) RESULT(array)
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IMPORT:: meshCell
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CLASS(meshCell), INTENT(in):: self
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REAL(8), INTENT(in):: Xi(1:3)
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REAL(8):: array(1:3)
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END FUNCTION gatherArray_interface
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PURE FUNCTION elemK_interface(self, nNodes) RESULT(localK)
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IMPORT:: meshCell
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CLASS(meshCell), INTENT(in):: self
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INTEGER, INTENT(in):: nNodes
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REAL(8):: localK(1:nNodes,1:nNodes)
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END FUNCTION elemK_interface
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PURE FUNCTION elemF_interface(self, nNodes, source) RESULT(localF)
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IMPORT:: meshCell
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CLASS(meshCell), INTENT(in):: self
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INTEGER, INTENT(in):: nNodes
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REAL(8), INTENT(in):: source(1:nNodes)
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REAL(8):: localF(1:nNodes)
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END FUNCTION elemF_interface
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PURE FUNCTION inside_interface(Xi) RESULT(ins)
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IMPORT:: meshCell
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REAL(8), INTENT(in):: Xi(1:3)
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LOGICAL:: ins
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END FUNCTION inside_interface
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PURE FUNCTION phy2log_interface(self,r) RESULT(Xi)
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IMPORT:: meshCell
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CLASS(meshCell), INTENT(in):: self
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REAL(8), INTENT(in):: r(1:3)
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REAL(8):: Xi(1:3)
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END FUNCTION phy2log_interface
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SUBROUTINE neighbourElement_interface(self, Xi, neighbourElement)
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IMPORT:: meshCell, meshElement
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CLASS(meshCell), INTENT(in):: self
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REAL(8), INTENT(in):: Xi(1:3)
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CLASS(meshElement), POINTER, INTENT(out):: neighbourElement
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END SUBROUTINE neighbourElement_interface
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END INTERFACE
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!Containers for cells in the mesh
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TYPE:: meshCellCont
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CLASS(meshCell), ALLOCATABLE:: obj
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END TYPE meshCellCont
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!Generic mesh type
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TYPE, ABSTRACT:: meshGeneric
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!Dimension of the mesh
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INTEGER:: dimen
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!Geometry of the mesh
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CHARACTER(:), ALLOCATABLE:: geometry
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!Number of elements
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INTEGER:: numNodes, numCells
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!Array of nodes
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TYPE(meshNodeCont), ALLOCATABLE:: nodes(:)
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!Array of cell elements
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TYPE(meshCellCont), ALLOCATABLE:: cells(:)
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!PROCEDURES SPECIFIC OF FILE TYPE
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PROCEDURE(readMesh_interface), POINTER, PASS:: readMesh => NULL()
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PROCEDURE(readInitial_interface), POINTER, NOPASS:: readInitial => NULL()
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PROCEDURE(connectMesh_interface), POINTER, PASS:: connectMesh => NULL()
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PROCEDURE(printColl_interface), POINTER, PASS:: printColl => NULL()
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CONTAINS
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!GENERIC PROCEDURES
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PROCEDURE, PASS:: doCollisions
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END TYPE meshGeneric
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ABSTRACT INTERFACE
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!Reads the mesh from a file
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SUBROUTINE readMesh_interface(self, filename)
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IMPORT meshGeneric
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CLASS(meshGeneric), INTENT(inout):: self
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CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
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END SUBROUTINE readMesh_interface
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SUBROUTINE readInitial_interface(filename, density, velocity, temperature)
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CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
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REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: density
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REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:,:):: velocity
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REAL(8), ALLOCATABLE, INTENT(out), DIMENSION(:):: temperature
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END SUBROUTINE readInitial_interface
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!Connects cell and edges to the mesh
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SUBROUTINE connectMesh_interface(self)
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IMPORT meshGeneric
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CLASS(meshGeneric), INTENT(inout):: self
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END SUBROUTINE connectMesh_interface
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!Prints number of collisions in each cell
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SUBROUTINE printColl_interface(self, t)
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IMPORT meshGeneric
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CLASS(meshGeneric), INTENT(in):: self
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INTEGER, INTENT(in):: t
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END SUBROUTINE printColl_interface
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END INTERFACE
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!Particle mesh
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TYPE, EXTENDS(meshGeneric), PUBLIC:: meshParticles
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INTEGER:: numEdges
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!Array of boundary elements
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TYPE(meshEdgeCont), ALLOCATABLE:: edges(:)
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!Global stiffness matrix
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REAL(8), ALLOCATABLE, DIMENSION(:,:):: K
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!Permutation matrix for P L U factorization
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INTEGER, ALLOCATABLE, DIMENSION(:,:):: IPIV
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!PROCEDURES SPECIFIC OF FILE TYPE
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PROCEDURE(printOutput_interface), POINTER, PASS:: printOutput => NULL()
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PROCEDURE(printEM_interface), POINTER, PASS:: printEM => NULL()
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PROCEDURE(printAverage_interface), POINTER, PASS:: printAverage => NULL()
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CONTAINS
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!GENERIC PROCEDURES
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PROCEDURE, PASS:: constructGlobalK
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PROCEDURE, PASS:: doCoulomb
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END TYPE meshParticles
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ABSTRACT INTERFACE
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!Prints Species data
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SUBROUTINE printOutput_interface(self, t)
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IMPORT meshParticles
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CLASS(meshParticles), INTENT(in):: self
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INTEGER, INTENT(in):: t
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END SUBROUTINE printOutput_interface
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!Prints EM info
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SUBROUTINE printEM_interface(self, t)
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IMPORT meshParticles
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CLASS(meshParticles), INTENT(in):: self
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INTEGER, INTENT(in):: t
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END SUBROUTINE printEM_interface
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!Perform Coulomb Scattering
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SUBROUTINE doCoulomb_interface(self)
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IMPORT meshParticles
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CLASS(meshParticles), INTENT(inout):: self
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END SUBROUTINE doCoulomb_interface
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!Prints average values
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SUBROUTINE printAverage_interface(self)
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IMPORT meshParticles
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CLASS(meshParticles), INTENT(in):: self
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END SUBROUTINE printAverage_interface
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END INTERFACE
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TYPE(meshParticles), TARGET:: mesh
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!Collision (MCC) mesh
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TYPE, EXTENDS(meshGeneric):: meshCollisions
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CONTAINS
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!GENERIC PROCEDURES
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END TYPE meshCollisions
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TYPE(meshCollisions), TARGET:: meshColl
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ABSTRACT INTERFACE
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SUBROUTINE readMeshColl_interface(self, filename)
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IMPORT meshCollisions
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CLASS(meshCollisions), INTENT(inout):: self
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CHARACTER(:), ALLOCATABLE, INTENT(in):: filename
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END SUBROUTINE readMeshColl_interface
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SUBROUTINE connectMeshColl_interface(self)
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IMPORT meshParticles
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CLASS(meshParticles), INTENT(inout):: self
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END SUBROUTINE connectMeshColl_interface
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END INTERFACE
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!Pointer to mesh used for MC collisions
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CLASS(meshGeneric), POINTER:: meshForMCC => NULL()
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!Procedure to find a cell for a particle in meshColl
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PROCEDURE(findCellColl_interface), POINTER:: findCellColl => NULL()
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ABSTRACT INTERFACE
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SUBROUTINE findCellColl_interface(part)
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USE moduleSpecies
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TYPE(particle), INTENT(inout):: part
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END SUBROUTINE findCellColl_interface
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END INTERFACE
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!Logical to indicate if an specific mesh for MC Collisions is used
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LOGICAL:: doubleMesh
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!Logical to indicate if MCC collisions are performed
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LOGICAL:: doMCCollisions = .FALSE.
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!Logical to indicate if Coulomb scattering is performed
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LOGICAL:: doCoulombScattering = .FALSE.
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!Logica to indicate if particles have to be listed in list inside the cells
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LOGICAL:: listInCells = .FALSE.
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!Complete path for the two meshes
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CHARACTER(:), ALLOCATABLE:: pathMeshColl, pathMeshParticle
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CONTAINS
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!Constructs the global K matrix
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PURE SUBROUTINE constructGlobalK(self)
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IMPLICIT NONE
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CLASS(meshParticles), INTENT(inout):: self
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INTEGER:: e
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INTEGER:: nNodes
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INTEGER, ALLOCATABLE:: n(:)
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REAL(8), ALLOCATABLE:: localK(:,:)
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INTEGER:: i, j
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DO e = 1, self%numCells
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nNodes = self%cells(e)%obj%nNodes
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ALLOCATE(n(1:nNodes))
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ALLOCATE(localK(1:nNodes, 1:nNodes))
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n = self%cells(e)%obj%getNodes(nNodes)
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localK = self%cells(e)%obj%elemK(nNodes)
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DO i = 1, nNodes
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DO j = 1, nNodes
|
|
self%K(n(i), n(j)) = self%K(n(i), n(j)) + localK(i, j)
|
|
|
|
END DO
|
|
|
|
END DO
|
|
|
|
DEALLOCATE(n, localK)
|
|
|
|
END DO
|
|
|
|
END SUBROUTINE constructGlobalK
|
|
|
|
!Reset the output of node
|
|
PURE SUBROUTINE resetOutput(self)
|
|
USE moduleSpecies
|
|
USE moduleOutput
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshNode), INTENT(inout):: self
|
|
INTEGER:: k
|
|
|
|
DO k = 1, nSpecies
|
|
self%output(k)%den = 0.D0
|
|
self%output(k)%mom = 0.D0
|
|
self%output(k)%tensorS = 0.D0
|
|
|
|
END DO
|
|
|
|
END SUBROUTINE resetOutput
|
|
|
|
!Gather the value of valNodes (scalar) at position Xi
|
|
PURE FUNCTION gatherF_scalar(self, Xi, nNodes, valNodes) RESULT(f)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshCell), INTENT(in):: self
|
|
REAL(8), INTENT(in):: Xi(1:3)
|
|
INTEGER, INTENT(in):: nNodes
|
|
REAL(8), INTENT(in):: valNodes(1:nNodes)
|
|
REAL(8):: f
|
|
REAL(8):: fPsi(1: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, nNodes, valNodes) RESULT(f)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshCell), INTENT(in):: self
|
|
REAL(8), INTENT(in):: Xi(1:3)
|
|
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, 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, nNodes, valNodes) RESULT(df)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshCell), INTENT(in):: self
|
|
REAL(8), INTENT(in):: Xi(1:3)
|
|
INTEGER, INTENT(in):: nNodes
|
|
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)
|
|
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), &
|
|
DOT_PRODUCT(dPsiR(3,:), valNodes) /)
|
|
|
|
END FUNCTION gatherDF_scalar
|
|
|
|
!Scatters particle properties into cell nodes
|
|
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:nNodes)
|
|
INTEGER:: cellNodes(1:nNodes)
|
|
REAL(8):: tensorS(1:3, 1:3)
|
|
INTEGER:: sp
|
|
INTEGER:: i
|
|
CLASS(meshNode), POINTER:: node
|
|
REAL(8):: pFraction !Particle fraction
|
|
|
|
cellNodes = self%getNodes(nNodes)
|
|
fPsi = self%fPsi(part%Xi, nNodes)
|
|
|
|
tensorS = outerProduct(part%v, part%v)
|
|
|
|
sp = part%species%n
|
|
|
|
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 + 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
|
|
|
|
END SUBROUTINE scatter
|
|
|
|
!Find next cell for particle
|
|
RECURSIVE SUBROUTINE findCell(self, part, oldCell)
|
|
USE moduleSpecies
|
|
USE moduleErrors
|
|
USE OMP_LIB
|
|
IMPLICIT NONE
|
|
|
|
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
|
|
INTEGER:: sp
|
|
|
|
Xi = self%phy2log(part%r)
|
|
!Checks if particle is inside 'self' cell
|
|
IF (self%inside(Xi)) THEN
|
|
part%cell = self%n
|
|
part%Xi = Xi
|
|
part%n_in = .TRUE.
|
|
!Assign particle to listPart_in
|
|
IF (listInCells) 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.
|
|
CALL self%neighbourElement(Xi, neighbourElement)
|
|
!Defines the next step
|
|
SELECT TYPE(neighbourElement)
|
|
CLASS IS(meshCell)
|
|
!Particle moved to new cell, repeat find procedure
|
|
CALL neighbourElement%findCell(part, self)
|
|
|
|
CLASS IS (meshEdge)
|
|
!Particle encountered a surface, apply boundary
|
|
CALL neighbourElement%fBoundary(part%species%n)%apply(neighbourElement,part)
|
|
|
|
!If particle is still inside the domain, call findCell
|
|
IF (part%n_in) THEN
|
|
IF(PRESENT(oldCell)) THEN
|
|
CALL self%findCell(part, oldCell)
|
|
|
|
ELSE
|
|
CALL self%findCell(part)
|
|
|
|
END IF
|
|
END IF
|
|
|
|
CLASS DEFAULT
|
|
WRITE (*, "(A, I6)") "Element = ", self%n
|
|
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%cell into part%cellColl
|
|
SUBROUTINE findCellSameMesh(part)
|
|
USE moduleSpecies
|
|
IMPLICIT NONE
|
|
|
|
TYPE(particle), INTENT(inout):: part
|
|
|
|
part%cellColl = part%cell
|
|
|
|
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
|
|
!No boundary interaction taken into account
|
|
SUBROUTINE findCellCollMesh(part)
|
|
USE moduleSpecies
|
|
IMPLICIT NONE
|
|
|
|
TYPE(particle), INTENT(inout):: part
|
|
LOGICAL:: found
|
|
CLASS(meshCell), POINTER:: cell
|
|
REAL(8), DIMENSION(1:3):: Xi
|
|
CLASS(meshElement), POINTER:: neighbourElement
|
|
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 (listInCells) 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
|
|
CALL cell%neighbourElement(Xi, neighbourElement)
|
|
SELECT TYPE(neighbourElement)
|
|
CLASS IS(meshCell)
|
|
!Try next element
|
|
cell => neighbourElement
|
|
|
|
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):: Xi
|
|
|
|
!Inits RESULT
|
|
nVol = 0
|
|
|
|
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
|
|
|
|
END DO
|
|
|
|
END FUNCTION findCellBrute
|
|
|
|
!Computes collisions in element
|
|
SUBROUTINE doCollisions(self, t)
|
|
USE moduleCollisions
|
|
USE moduleSpecies
|
|
USE moduleList
|
|
use moduleRefParam
|
|
USE moduleRandom
|
|
USE moduleOutput
|
|
USE moduleMath
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshGeneric), INTENT(inout), TARGET:: self
|
|
INTEGER, INTENT(in):: t
|
|
INTEGER:: e
|
|
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
|
|
INTEGER:: nColl
|
|
TYPE(pointerArray), ALLOCATABLE:: partTemp_i(:), partTemp_j(:)
|
|
TYPE(particle), POINTER:: part_i, part_j
|
|
INTEGER:: n, c
|
|
REAL(8):: vRel, rMass, eRel
|
|
REAL(8):: sigmaVrelTotal
|
|
REAL(8), ALLOCATABLE:: sigmaVrel(:), probabilityColl(:)
|
|
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%numCells
|
|
|
|
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
|
|
cell%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
|
|
j = interactionMatrix(k)%sp_j%n
|
|
|
|
!Number of particles per species in the collision pair
|
|
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
|
|
nPart = nPart_i + nPart_j
|
|
|
|
!Resets the number of collisions in the cell
|
|
nColl = 0
|
|
|
|
!Probability of collision for pair i-j
|
|
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 = cell%listPart_in(i)%convert2Array()
|
|
partTemp_j = cell%listPart_in(j)%convert2Array()
|
|
|
|
END IF
|
|
|
|
DO n = 1, nColl
|
|
!Select random particles
|
|
part_i => NULL()
|
|
part_j => NULL()
|
|
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
|
|
CYCLE
|
|
|
|
END IF
|
|
|
|
!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 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
|
|
|
|
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)
|
|
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
|
|
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)/cell%sigmaVrelMax(k) + SUM(probabilityColl(0:c-1))
|
|
|
|
END DO
|
|
|
|
!Selects random number between 0 and 1
|
|
rnd_real = random()
|
|
|
|
!If the random number is below the total probability of collision, collide particles
|
|
IF (rnd_real < sigmaVrelTotal / cell%sigmaVrelMax(k)) THEN
|
|
|
|
!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)
|
|
!$OMP END CRITICAL
|
|
|
|
!If collisions are gonna be output, count the collision
|
|
IF (collOutput) THEN
|
|
cell%tallyColl(k)%tally(c) = cell%tallyColl(k)%tally(c) + 1
|
|
|
|
END IF
|
|
|
|
!A collision has ocurred, exit the loop
|
|
EXIT
|
|
|
|
END IF
|
|
|
|
END DO
|
|
|
|
END IF
|
|
|
|
!Deallocate arrays for next collision
|
|
DEALLOCATE(sigmaVrel, probabilityColl)
|
|
|
|
!End loop collisions in cell
|
|
END DO
|
|
|
|
END IF
|
|
|
|
END IF
|
|
|
|
!End loop collision pairs
|
|
END DO
|
|
|
|
!End loop volumes
|
|
END DO
|
|
!$OMP END DO
|
|
|
|
END IF
|
|
|
|
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(in), TARGET:: self
|
|
CLASS(meshCell), POINTER:: cell
|
|
TYPE(interactionsCoulomb):: pair
|
|
INTEGER:: e
|
|
INTEGER:: k
|
|
INTEGER:: i, j
|
|
INTEGER:: n
|
|
INTEGER:: p
|
|
TYPE(lNode), POINTER:: partTemp
|
|
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):: 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):: GlW, HlW
|
|
REAL(8):: normC
|
|
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-12
|
|
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)
|
|
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
|
|
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, 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
|
|
|
|
END DO
|
|
|
|
ALLOCATE(deltaV_ij(1:cell%listPart_in(i)%amount, 1:3))
|
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ALLOCATE(p_ij(1:cell%listPart_in(i)%amount, 1:3))
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ALLOCATE(mass_ij(1:cell%listPart_in(i)%amount))
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deltaV_ij = 0.D0
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p_ij = 0.D0
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mass_ij = 0.D0
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!Loop over particles of species_i
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partTemp => cell%listPart_in(i)%head
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p = 1
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DO WHILE(ASSOCIATED(partTemp))
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density = cell%gatherF(partTemp%part%Xi, cell%nNodes, densityNodes)
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velocity = cell%gatherF(partTemp%part%Xi, cell%nNodes, velocityNodes)
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temperature = cell%gatherF(partTemp%part%Xi, cell%nNodes, temperatureNodes)
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!If cell temperature is too low, skip particle to avoid division by zero
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IF (temperature>eps) THEN
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l2 = pair%l2_j/temperature
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l = SQRT(l2)
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ELSE
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partTemp => partTemp%next
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CYCLE
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END IF
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A = pair%A_i*density
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C = partTemp%part%v - velocity
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normC = NORM2(C)
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!C_3 = z; C_1, C2 = x, y (per)
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C_per = NORM2(C(1:2))
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cosPhi = C(1) / C_per
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sinPhi = C(2) / C_per
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cosThe = C(3) / normC
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sinThe = C_per / normC
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!Rotation matrix to go from W to C
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rotation = RESHAPE((/ cosThe*cosPhi, cosThe*sinPhi, -sinThe, & !First column
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-sinPhi, cosPhi, 0.D0, & !Second column
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sinThe*cosPhi, sinThe*sinPhi, cosThe /), & !Third column
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(/ 3, 3 /))
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!W at start is = (0, 0, normC), so normW = normC
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lW = l * normC
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GlW = G(lW)
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HlW = H(lW)
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AW = A / normC
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!Calculate changes in W due to collision process
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deltaW_par = - A * pair%one_plus_massRatio_ij * l2 * GlW * tauMin
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deltaW_par_square = SQRT(AW * GlW * tauMin)*randomMaxwellian()
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deltaW_per_square = SQRT(AW * HlW * tauMin)*randomMaxwellian()
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!Random angle to distribute perpendicular change in velocity
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theta_per = PI2*random()
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!Change W
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W(1) = deltaW_per_square * COS(theta_per)
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W(2) = deltaW_per_square * SIN(theta_per)
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W(3) = normC + deltaW_par + deltaW_par_square
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!Compute changes in velocity for each particle
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deltaV_ij(p,1:3) = MATMUL(rotation, W) + velocity - partTemp%part%v
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mass_ij(p) = pair%sp_i%m*partTemp%part%weight
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p_ij(p,1:3) = mass_ij(p)*partTemp%part%v
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!Move to the next particle in the list
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partTemp => partTemp%next
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p = p + 1
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END DO
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!Do corresponding collisions
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IF (i /= j) THEN
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!Do scattering of particles from species_j due to species i
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!Compute background properties of species_i
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DO n = 1, cell%nNodes
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node => self%nodes(cellNodes(n))%obj
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CALL calculateOutput(node%output(i), output, node%v, pair%sp_i)
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densityNodes(n) = output%density/n_ref
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velocityNodes(n,1:3) = output%velocity(1:3)/v_ref
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temperatureNodes(n) = output%temperature/T_ref
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END DO
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ALLOCATE(deltaV_ji(1:cell%listPart_in(j)%amount, 1:3))
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ALLOCATE(p_ji(1:cell%listPart_in(j)%amount, 1:3))
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ALLOCATE(mass_ji(1:cell%listPart_in(j)%amount))
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deltaV_ji = 0.D0
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p_ji = 0.D0
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mass_ji = 0.D0
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!Loop over particles of species_j
|
|
partTemp => cell%listPart_in(j)%head
|
|
p = 1
|
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DO WHILE(ASSOCIATED(partTemp))
|
|
density = cell%gatherF(partTemp%part%Xi, cell%nNodes, densityNodes)
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velocity = cell%gatherF(partTemp%part%Xi, cell%nNodes, velocityNodes)
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temperature = cell%gatherF(partTemp%part%Xi, cell%nNodes, temperatureNodes)
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|
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!If cell temperature is too low, skip particle to avoid division by zero
|
|
IF (temperature>eps) THEN
|
|
l2 = pair%l2_i/temperature
|
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l = SQRT(l2)
|
|
|
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ELSE
|
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partTemp => partTemp%next
|
|
|
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CYCLE
|
|
|
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END IF
|
|
A = pair%A_j*density
|
|
|
|
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_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
|
|
|
|
!Move to the next particle in the list
|
|
partTemp => partTemp%next
|
|
p = p + 1
|
|
|
|
END DO
|
|
|
|
END IF
|
|
|
|
!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
|
|
|
|
DEALLOCATE(densityNodes, velocityNodes, temperatureNodes, cellNodes)
|
|
|
|
END DO
|
|
!$OMP END DO
|
|
|
|
END SUBROUTINE doCoulomb
|
|
|
|
END MODULE moduleMesh
|