Jorge Gonzalez
78a97ed7a0
Improvement into the collision model to better compute number of particles collisions.
624 lines
16 KiB
Fortran
624 lines
16 KiB
Fortran
!moduleMesh1D: 1D cartesian module
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! x == x
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! y == unused
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! z == unused
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MODULE moduleMesh1DCart
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USE moduleMesh
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USE moduleMeshBoundary
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IMPLICIT NONE
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REAL(8), PARAMETER:: corSeg(1:3) = (/ -DSQRT(3.D0/5.D0), 0.D0, DSQRT(3.D0/5.D0) /)
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REAL(8), PARAMETER:: wSeg(1:3) = (/ 5.D0/9.D0 , 8.D0/9.D0, 5.D0/9.D0 /)
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TYPE, PUBLIC, EXTENDS(meshNode):: meshNode1DCart
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!Element coordinates
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REAL(8):: x = 0.D0
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CONTAINS
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PROCEDURE, PASS:: init => initNode1DCart
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PROCEDURE, PASS:: getCoordinates => getCoord1DCart
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END TYPE meshNode1DCart
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TYPE, PUBLIC, EXTENDS(meshEdge):: meshEdge1DCart
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!Element coordinates
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REAL(8):: x = 0.D0
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!Connectivity to nodes
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CLASS(meshNode), POINTER:: n1 => NULL()
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CONTAINS
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PROCEDURE, PASS:: init => initEdge1DCart
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PROCEDURE, PASS:: getNodes => getNodes1DCart
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PROCEDURE, PASS:: intersection => intersection1DCart
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PROCEDURE, PASS:: randPos => randPosEdge
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END TYPE meshEdge1DCart
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TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol1DCart
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CONTAINS
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PROCEDURE, PASS:: detJac => detJ1DCart
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PROCEDURE, PASS:: invJac => invJ1DCart
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PROCEDURE(dPsi_interface), DEFERRED, NOPASS:: dPsi
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PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
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END TYPE meshVol1DCart
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ABSTRACT INTERFACE
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PURE FUNCTION dPsi_interface(xi) RESULT(dPsi)
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REAL(8), INTENT(in):: xi(1:3)
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REAL(8), ALLOCATABLE:: dPsi(:,:)
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END FUNCTION dPsi_interface
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PURE SUBROUTINE partialDer_interface(self, dPsi, dx)
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IMPORT meshVol1DCart
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CLASS(meshVol1DCart), INTENT(in):: self
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REAL(8), INTENT(in):: dPsi(1:,1:)
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REAL(8), INTENT(out), DIMENSION(1):: dx
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END SUBROUTINE partialDer_interface
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END INTERFACE
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TYPE, PUBLIC, EXTENDS(meshVol1DCart):: meshVol1DCartSegm
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!Element coordinates
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REAL(8):: x(1:2)
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!Connectivity to nodes
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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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PROCEDURE, PASS:: init => initVol1DCartSegm
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PROCEDURE, PASS:: randPos => randPos1DCartSeg
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PROCEDURE, PASS:: area => areaSegm
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PROCEDURE, NOPASS:: fPsi => fPsiSegm
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PROCEDURE, NOPASS:: dPsi => dPsiSegm
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PROCEDURE, PASS:: partialDer => partialDerSegm
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PROCEDURE, PASS:: elemK => elemKSegm
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PROCEDURE, PASS:: elemF => elemFSegm
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PROCEDURE, NOPASS:: inside => insideSegm
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PROCEDURE, PASS:: gatherEF => gatherEFSegm
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PROCEDURE, PASS:: gatherMF => gatherMFSegm
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PROCEDURE, PASS:: getNodes => getNodesSegm
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PROCEDURE, PASS:: phy2log => phy2logSegm
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PROCEDURE, PASS:: nextElement => nextElementSegm
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END TYPE meshVol1DCartSegm
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CONTAINS
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!NODE FUNCTIONS
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!Init node element
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SUBROUTINE initNode1DCart(self, n, r)
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USE moduleSpecies
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USE moduleRefParam
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USE OMP_LIB
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IMPLICIT NONE
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CLASS(meshNode1DCart), 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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self%n = n
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self%x = r(1)/L_ref
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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(self%output(1:nSpecies))
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CALL OMP_INIT_LOCK(self%lock)
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END SUBROUTINE initNode1DCart
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PURE FUNCTION getCoord1DCart(self) RESULT(r)
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IMPLICIT NONE
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CLASS(meshNode1DCart), INTENT(in):: self
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REAL(8):: r(1:3)
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r = (/ self%x, 0.D0, 0.D0 /)
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END FUNCTION getCoord1DCart
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!EDGE FUNCTIONS
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!Inits 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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USE moduleErrors
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IMPLICIT NONE
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CLASS(meshEdge1DCart), 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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REAL(8), DIMENSION(1:3):: r1
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INTEGER:: s
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self%n = n
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self%n1 => mesh%nodes(p(1))%obj
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!Get element coordinates
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r1 = self%n1%getCoordinates()
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self%x = r1(1)
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self%normal = (/ 1.D0, 0.D0, 0.D0 /)
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!Boundary index
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self%boundary => boundary(bt)
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ALLOCATE(self%fboundary(1:nSpecies))
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!Assign functions to boundary
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DO s = 1, nSpecies
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CALL pointBoundaryFunction(self, s)
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END DO
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!Physical Surface
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self%physicalSurface = physicalSurface
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END SUBROUTINE initEdge1DCart
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!Get nodes from edge
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PURE FUNCTION getNodes1DCart(self) RESULT(n)
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IMPLICIT NONE
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CLASS(meshEdge1DCart), INTENT(in):: self
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INTEGER, ALLOCATABLE:: n(:)
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ALLOCATE(n(1))
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n = (/ self%n1%n /)
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END FUNCTION getNodes1DCart
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PURE FUNCTION intersection1DCart(self, r0) RESULT(r)
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IMPLICIT NONE
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CLASS(meshEdge1DCart), INTENT(in):: self
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REAL(8), DIMENSION(1:3), INTENT(in):: r0
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REAL(8), DIMENSION(1:3):: r
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r = (/ self%x, 0.D0, 0.D0 /)
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END FUNCTION intersection1DCart
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!Calculates 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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r = (/ self%x, 0.D0, 0.D0 /)
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END FUNCTION randPosEdge
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!VOLUME FUNCTIONS
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!SEGMENT FUNCTIONS
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!Init segment element
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SUBROUTINE initVol1DCartSegm(self, n, p, nodes)
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USE moduleRefParam
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IMPLICIT NONE
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CLASS(meshVol1DCartSegm), 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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REAL(8), DIMENSION(1:3):: r1, r2
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self%n = n
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self%n1 => nodes(p(1))%obj
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self%n2 => nodes(p(2))%obj
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!Get element coordinates
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r1 = self%n1%getCoordinates()
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r2 = self%n2%getCoordinates()
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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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self%sigmaVrelMax = sigmaVrel_ref/(L_ref**2 * v_ref)
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CALL OMP_INIT_LOCK(self%lock)
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END SUBROUTINE initVol1DCartSegm
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!Calculates a random position in 1D volume
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FUNCTION randPos1DCartSeg(self) RESULT(r)
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USE moduleRandom
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IMPLICIT NONE
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CLASS(meshVol1DCartSegm), INTENT(in):: self
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REAL(8):: r(1:3)
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REAL(8):: xii(1:3)
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REAL(8), ALLOCATABLE:: fPsi(:)
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xii(1) = random(-1.D0, 1.D0)
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xii(2:3) = 0.D0
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fPsi = self%fPsi(xii)
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r(1) = DOT_PRODUCT(fPsi, self%x)
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END FUNCTION randPos1DCartSeg
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!Computes element area
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PURE SUBROUTINE areaSegm(self)
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IMPLICIT NONE
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CLASS(meshVol1DCartSegm), INTENT(inout):: self
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REAL(8):: l !element length
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REAL(8):: fPsi(1:2)
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REAL(8):: detJ
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REAL(8):: Xii(1:3)
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self%volume = 0.D0
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self%arNodes = 0.D0
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!1 point Gauss integral
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Xii = 0.D0
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fPsi = self%fPsi(Xii)
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detJ = self%detJac(Xii)
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l = 2.D0*detJ
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self%volume = l
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self%arNodes = fPsi*l
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END SUBROUTINE areaSegm
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!Computes element functions at point xii
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PURE FUNCTION fPsiSegm(xi) RESULT(fPsi)
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IMPLICIT NONE
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REAL(8), INTENT(in):: xi(1:3)
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REAL(8), ALLOCATABLE:: fPsi(:)
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ALLOCATE(fPsi(1:2))
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fPsi(1) = 1.D0 - xi(1)
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fPsi(2) = 1.D0 + xi(1)
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fPsi = fPsi * 5.D-1
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END FUNCTION fPsiSegm
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!Computes element derivative shape function at Xii
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PURE FUNCTION dPsiSegm(xi) RESULT(dPsi)
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IMPLICIT NONE
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REAL(8), INTENT(in):: xi(1:3)
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REAL(8), ALLOCATABLE:: dPsi(:,:)
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ALLOCATE(dPsi(1:1, 1:2))
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dPsi(1, 1) = -5.D-1
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dPsi(1, 2) = 5.D-1
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END FUNCTION dPsiSegm
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!Computes partial derivatives of coordinates
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PURE SUBROUTINE partialDerSegm(self, dPsi, dx)
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IMPLICIT NONE
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CLASS(meshVol1DCartSegm), INTENT(in):: self
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REAL(8), INTENT(in):: dPsi(1:,1:)
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REAL(8), INTENT(out), DIMENSION(1):: dx
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dx(1) = DOT_PRODUCT(dPsi(1,:), self%x)
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END SUBROUTINE partialDerSegm
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!Computes local stiffness matrix
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PURE FUNCTION elemKSegm(self) RESULT(localK)
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IMPLICIT NONE
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CLASS(meshVol1DCartSegm), INTENT(in):: self
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REAL(8), ALLOCATABLE:: localK(:,:)
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REAL(8):: Xii(1:3)
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REAL(8):: dPsi(1:1, 1:2)
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REAL(8):: invJ(1), detJ
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INTEGER:: l
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ALLOCATE(localK(1:2,1:2))
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localK = 0.D0
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Xii = 0.D0
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DO l = 1, 3
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xii(1) = corSeg(l)
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dPsi = self%dPsi(Xii)
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detJ = self%detJac(Xii, dPsi)
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invJ = self%invJac(Xii, dPsi)
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localK = localK + MATMUL(RESHAPE(MATMUL(invJ,dPsi), (/ 2, 1/)), &
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RESHAPE(MATMUL(invJ,dPsi), (/ 1, 2/)))* &
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wSeg(l)/detJ
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END DO
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END FUNCTION elemKSegm
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PURE FUNCTION elemFSegm(self, source) RESULT(localF)
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IMPLICIT NONE
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CLASS(meshVol1DCartSegm), INTENT(in):: self
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REAL(8), INTENT(in):: source(1:)
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REAL(8), ALLOCATABLE:: localF(:)
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REAL(8):: fPsi(1:2)
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REAL(8):: detJ, f
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REAL(8):: Xii(1:3)
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INTEGER:: l
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ALLOCATE(localF(1:2))
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localF = 0.D0
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Xii = 0.D0
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DO l = 1, 3
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xii(1) = corSeg(l)
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detJ = self%detJac(Xii)
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fPsi = self%fPsi(Xii)
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f = DOT_PRODUCT(fPsi, source)
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localF = localF + f*fPsi*wSeg(l)*detJ
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END DO
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END FUNCTION elemFSegm
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PURE FUNCTION insideSegm(xi) RESULT(ins)
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IMPLICIT NONE
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REAL(8), INTENT(in):: xi(1:3)
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LOGICAL:: ins
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ins = xi(1) >=-1.D0 .AND. &
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xi(1) <= 1.D0
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END FUNCTION insideSegm
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!Gathers EF at position Xii
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PURE FUNCTION gatherEFSegm(self, xi) RESULT(EF)
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IMPLICIT NONE
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CLASS(meshVol1DCartSegm), INTENT(in):: self
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REAL(8), INTENT(in):: xi(1:3)
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REAL(8):: dPsi(1, 1:2)
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REAL(8):: phi(1:2)
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REAL(8):: EF(1:3)
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REAL(8):: invJ
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phi = (/ self%n1%emData%phi, &
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self%n2%emData%phi /)
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dPsi = self%dPsi(xi)
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invJ = self%invJac(xi, dPsi)
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EF(1) = -DOT_PRODUCT(dPsi(1, :), phi)*invJ
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EF(2) = 0.D0
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EF(3) = 0.D0
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END FUNCTION gatherEFSegm
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PURE FUNCTION gatherMFSegm(self, xi) RESULT(MF)
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IMPLICIT NONE
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CLASS(meshVol1DCartSegm), INTENT(in):: self
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REAL(8), INTENT(in):: xi(1:3)
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REAL(8):: fPsi(1:2)
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REAL(8):: MF_Nodes(1:2, 1:3)
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REAL(8):: MF(1:3)
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REAL(8):: invJ
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MF_Nodes(1:2,1) = (/ self%n1%emData%B(1), &
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self%n2%emData%B(1) /)
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MF_Nodes(1:2,2) = (/ self%n1%emData%B(2), &
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self%n2%emData%B(2) /)
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MF_Nodes(1:2,3) = (/ self%n1%emData%B(3), &
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self%n2%emData%B(3) /)
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fPsi = self%fPsi(xi)
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MF = MATMUL(fPsi, MF_Nodes)
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END FUNCTION gatherMFSegm
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!Get nodes from 1D volume
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PURE FUNCTION getNodesSegm(self) RESULT(n)
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IMPLICIT NONE
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CLASS(meshVol1DCartSegm), INTENT(in):: self
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INTEGER, ALLOCATABLE:: n(:)
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ALLOCATE(n(1:2))
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n = (/ self%n1%n, self%n2%n /)
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END FUNCTION getNodesSegm
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PURE FUNCTION phy2logSegm(self, r) RESULT(xN)
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IMPLICIT NONE
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CLASS(meshVol1DCartSegm), INTENT(in):: self
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REAL(8), INTENT(in):: r(1:3)
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REAL(8):: xN(1:3)
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xN = 0.D0
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xN(1) = 2.D0*(r(1) - self%x(1))/(self%x(2) - self%x(1)) - 1.D0
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END FUNCTION phy2logSegm
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!Get next element for a logical position xi
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SUBROUTINE nextElementSegm(self, xi, nextElement)
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IMPLICIT NONE
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CLASS(meshVol1DCartSegm), INTENT(in):: self
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REAL(8), INTENT(in):: xi(1:3)
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CLASS(meshElement), POINTER, INTENT(out):: nextElement
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NULLIFY(nextElement)
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IF (xi(1) < -1.D0) THEN
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nextElement => self%e2
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ELSEIF (xi(1) > 1.D0) THEN
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nextElement => self%e1
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END IF
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END SUBROUTINE nextElementSegm
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!COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
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!Calculates a random position in 1D volume
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!Computes the element Jacobian determinant
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PURE FUNCTION detJ1DCart(self, xi, dPsi_in) RESULT(dJ)
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IMPLICIT NONE
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CLASS(meshVol1DCart), INTENT(in):: self
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REAL(8), INTENT(in):: xi(1:3)
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REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
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REAL(8), ALLOCATABLE:: dPsi(:,:)
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REAL(8):: dJ
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REAL(8):: dx(1)
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IF (PRESENT(dPsi_in)) THEN
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dPsi = dPsi_in
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ELSE
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dPsi = self%dPsi(xi)
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END IF
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CALL self%partialDer(dPsi, dx)
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dJ = dx(1)
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END FUNCTION detJ1DCart
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!Computes the invers Jacobian
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PURE FUNCTION invJ1DCart(self, xi, dPsi_in) RESULT(invJ)
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IMPLICIT NONE
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CLASS(meshVol1DCart), INTENT(in):: self
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REAL(8), INTENT(in):: xi(1:3)
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REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
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REAL(8), ALLOCATABLE:: dPsi(:,:)
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REAL(8):: dx(1)
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REAL(8):: invJ
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IF (PRESENT(dPsi_in)) THEN
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dPsi = dPsi_in
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ELSE
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dPsi = self%dPsi(xi)
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END IF
|
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|
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CALL self%partialDer(dPsi, dx)
|
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invJ = 1.D0/dx(1)
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|
|
END FUNCTION invJ1DCart
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|
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SUBROUTINE connectMesh1DCart(self)
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IMPLICIT NONE
|
|
|
|
CLASS(meshGeneric), INTENT(inout):: self
|
|
INTEGER:: e, et
|
|
|
|
DO e = 1, self%numVols
|
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!Connect Vol-Vol
|
|
DO et = 1, self%numVols
|
|
IF (e /= et) THEN
|
|
CALL connectVolVol(self%vols(e)%obj, self%vols(et)%obj)
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|
|
|
END IF
|
|
|
|
END DO
|
|
|
|
SELECT TYPE(self)
|
|
TYPE IS(meshParticles)
|
|
!Connect Vol-Edge
|
|
DO et = 1, self%numEdges
|
|
CALL connectVolEdge(self%vols(e)%obj, self%edges(et)%obj)
|
|
|
|
END DO
|
|
|
|
END SELECT
|
|
|
|
END DO
|
|
|
|
END SUBROUTINE connectMesh1DCart
|
|
|
|
SUBROUTINE connectVolVol(elemA, elemB)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshVol), INTENT(inout):: elemA
|
|
CLASS(meshVol), INTENT(inout):: elemB
|
|
|
|
SELECT TYPE(elemA)
|
|
TYPE IS(meshVol1DCartSegm)
|
|
SELECT TYPE(elemB)
|
|
TYPE IS(meshVol1DCartSegm)
|
|
CALL connectSegmSegm(elemA, elemB)
|
|
|
|
END SELECT
|
|
|
|
END SELECT
|
|
|
|
END SUBROUTINE connectVolVol
|
|
|
|
SUBROUTINE connectSegmSegm(elemA, elemB)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshVol1DCartSegm), INTENT(inout), TARGET:: elemA
|
|
CLASS(meshVol1DCartSegm), INTENT(inout), TARGET:: elemB
|
|
|
|
IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
|
|
elemA%n2%n == elemB%n1%n) THEN
|
|
elemA%e1 => elemB
|
|
elemB%e2 => elemA
|
|
|
|
END IF
|
|
|
|
IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
|
|
elemA%n1%n == elemB%n2%n) THEN
|
|
|
|
elemA%e2 => elemB
|
|
elemB%e1 => elemA
|
|
|
|
END IF
|
|
|
|
END SUBROUTINE connectSegmSegm
|
|
|
|
SUBROUTINE connectVolEdge(elemA, elemB)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshVol), INTENT(inout):: elemA
|
|
CLASS(meshEdge), INTENT(inout):: elemB
|
|
|
|
SELECT TYPE(elemA)
|
|
TYPE IS (meshVol1DCartSegm)
|
|
SELECT TYPE(elemB)
|
|
CLASS IS(meshEdge1DCart)
|
|
CALL connectSegmEdge(elemA, elemB)
|
|
|
|
END SELECT
|
|
|
|
END SELECT
|
|
|
|
END SUBROUTINE connectVolEdge
|
|
|
|
SUBROUTINE connectSegmEdge(elemA, elemB)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshVol1DCartSegm), INTENT(inout), TARGET:: elemA
|
|
CLASS(meshEdge1DCart), INTENT(inout), TARGET:: elemB
|
|
|
|
IF (.NOT. ASSOCIATED(elemA%e1) .AND. &
|
|
elemA%n2%n == elemB%n1%n) THEN
|
|
|
|
elemA%e1 => elemB
|
|
elemB%e2 => elemA
|
|
|
|
!Revers the normal to point inside the domain
|
|
elemB%normal = - elemB%normal
|
|
|
|
END IF
|
|
|
|
IF (.NOT. ASSOCIATED(elemA%e2) .AND. &
|
|
elemA%n1%n == elemB%n1%n) THEN
|
|
|
|
elemA%e2 => elemB
|
|
elemB%e1 => elemA
|
|
|
|
END IF
|
|
|
|
END SUBROUTINE connectSegmEdge
|
|
|
|
END MODULE moduleMesh1DCart
|
|
|