489 lines
12 KiB
Fortran
489 lines
12 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 moduleMesh1D
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USE moduleMesh
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IMPLICIT NONE
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TYPE, PUBLIC, EXTENDS(meshNode):: meshNode1D
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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 => initNode1D
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PROCEDURE, PASS:: getCoordinates => getCoord1D
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END TYPE meshNode1D
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TYPE, PUBLIC, ABSTRACT, EXTENDS(meshEdge):: meshEdge1D
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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 => initEdge1D
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PROCEDURE, PASS:: getNodes => getNodes1D
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PROCEDURE, PASS:: randPos => randPos1D
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END TYPE meshEdge1D
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TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol1D
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CONTAINS
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PROCEDURE, PASS:: detJac => detJ1D
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PROCEDURE, PASS:: invJac => invJ1D
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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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END TYPE meshVol1D
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ABSTRACT INTERFACE
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PURE FUNCTION fPsi_interface(xi) RESULT(fPsi)
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REAL(8), INTENT(in):: xi(1:3)
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REAL(8), ALLOCATABLE:: fPsi(:)
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END FUNCTION fPsi_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 meshVol1D
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CLASS(meshVol1D), 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(meshVol1D):: meshVol1DSegm
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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(*), 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 => initVol1DSegm
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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:: weight => weightSegm
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PROCEDURE, NOPASS:: inside => insideSegm
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PROCEDURE, PASS:: scatter => scatterSegm
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PROCEDURE, PASS:: gatherEF => gatherEFSegm
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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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PROCEDURE, PASS:: resetOutput => resetOutputSegm
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END TYPE meshVol1DSegm
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CONTAINS
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!NODE FUNCTIONS
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!Init node element
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SUBROUTINE initNode1D(self, n, r)
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USE moduleSpecies
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USE moduleRefParam
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IMPLICIT NONE
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CLASS(meshNode1D), 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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END SUBROUTINE initNode1D
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PURE FUNCTION getCoord1D(self) RESULT(r)
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IMPLICIT NONE
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CLASS(meshNode1D), 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 getCoord1D
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!EDGE FUNCTIONS
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!Inits edge element
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SUBROUTINE initEdge1D(self, n, p, bt, physicalSurface)
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IMPLICIT NONE
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CLASS(meshEdge1D), 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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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%bt = bt
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!Physical Surface
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self%physicalSurface = physicalSurface
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END SUBROUTINE initEdge1D
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!Get nodes from edge
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PURE FUNCTION getNodes1D(self) RESULT(n)
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IMPLICIT NONE
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CLASS(meshEdge1D), 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 getNodes1D
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!Calculates a 'random' position in edge
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FUNCTION randPos1D(self) RESULT(r)
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CLASS(meshEdge1D), 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 randPos1D
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!VOLUME FUNCTIONS
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!SEGMENT FUNCTIONS
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!Init segment element
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SUBROUTINE initVol1DSegm(self, n, p)
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USE moduleRefParam
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IMPLICIT NONE
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CLASS(meshVol1DSegm), INTENT(out):: self
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INTEGER, INTENT(in):: n
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INTEGER, INTENT(in):: p(:)
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REAL(8), DIMENSION(1:3):: r1, r2
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self%n = n
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self%n1 => mesh%nodes(p(1))%obj
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self%n2 => mesh%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 = sigma_ref/L_ref**2
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CALL OMP_INIT_LOCK(self%lock)
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END SUBROUTINE initVol1DSegm
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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(meshVol1DSegm), 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(meshVol1DSegm), 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(ke)
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IMPLICIT NONE
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CLASS(meshVol1DSegm), INTENT(in):: self
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REAL(8):: ke(1:2,1:2)
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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
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ke = 0.D0
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Xii = (/ 0.D0, 0.D0, 0.D0 /)
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dPsi = self%dPsi(Xii)
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invJ = self%invJac(Xii, dPsi)
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ke(1,:) = (/ dPsi(1,1)*dPsi(1,1), dPsi(1,1)*dPsi(1,2) /)
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ke(2,:) = (/ dPsi(1,2)*dPsi(1,1), dPsi(1,2)*dPsi(1,2) /)
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ke = 2.D0*ke*invJ
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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(meshVol1DSegm), 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
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REAL(8):: Xii(1:3)
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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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ALLOCATE(localF(1:2))
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localF = 2.D0*DOT_PRODUCT(fPsi, source)*detJ
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END FUNCTION elemFSegm
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PURE FUNCTION weightSegm(xi) RESULT(w)
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IMPLICIT NONE
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REAL(8), INTENT(in):: xi(1:3)
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REAL(8):: w(1:3)
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w = fPsiSegm(xi)
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END FUNCTION weightSegm
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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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SUBROUTINE scatterSegm(self, part)
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USE moduleOutput
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USE moduleSpecies
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IMPLICIT NONE
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CLASS(meshVol1DSegm), INTENT(in):: self
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CLASS(particle), INTENT(in):: part
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TYPE(outputNode), POINTER:: vertex
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REAL(8):: w_p(1:2)
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REAL(8):: tensorS(1:3,1:3)
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w_p = self%weight(part%xi)
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tensorS = outerProduct(part%v, part%v)
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vertex => self%n1%output(part%sp)
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vertex%den = vertex%den + part%weight*w_p(1)
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vertex%mom(:) = vertex%mom(:) + part%weight*w_p(1)*part%v(:)
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vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(1)*tensorS
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vertex => self%n2%output(part%sp)
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vertex%den = vertex%den + part%weight*w_p(2)
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vertex%mom(:) = vertex%mom(:) + part%weight*w_p(2)*part%v(:)
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vertex%tensorS(:,:) = vertex%tensorS(:,:) + part%weight*w_p(2)*tensorS
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END SUBROUTINE scatterSegm
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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(meshVol1DSegm), 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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!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(meshVol1DSegm), 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(meshVol1DSegm), 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(meshVol1DSegm), INTENT(in):: self
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REAL(8), INTENT(in):: xi(1:3)
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CLASS(*), 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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!Reset the output of nodes in element
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PURE SUBROUTINE resetOutputSegm(self)
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USE moduleSpecies
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USE moduleOutput
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IMPLICIT NONE
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CLASS(meshVol1DSegm), INTENT(inout):: self
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INTEGER:: k
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DO k = 1, nSpecies
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self%n1%output(k)%den = 0.D0
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self%n1%output(k)%mom = 0.D0
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self%n1%output(k)%tensorS = 0.D0
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self%n2%output(k)%den = 0.D0
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self%n2%output(k)%mom = 0.D0
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self%n2%output(k)%tensorS = 0.D0
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END DO
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END SUBROUTINE resetOutputSegm
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!COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
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!Computes the element Jacobian determinant
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PURE FUNCTION detJ1D(self, xi, dPsi_in) RESULT(dJ)
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IMPLICIT NONE
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CLASS(meshVol1D), 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 detJ1D
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!Computes the invers Jacobian
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PURE FUNCTION invJ1D(self, xi, dPsi_in) RESULT(invJ)
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IMPLICIT NONE
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CLASS(meshVol1D), 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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CALL self%partialDer(dPsi, dx)
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invJ = 1.D0/dx(1)
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END FUNCTION invJ1D
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END MODULE moduleMesh1D
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