Fixed an issue in which the position in triangular an thetrahedron elements were not correctly being computed. Other minor issues fixed: - Units in input file now do not use '/'. - Collisions accuratly conserve momentum. - Minor improvements in mass calculation in collisions.
988 lines
27 KiB
Fortran
988 lines
27 KiB
Fortran
!moduleMesh3DCart: 3D Cartesian coordinate system
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! x == x
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! y == y
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! z == z
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MODULE moduleMesh3DCart
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USE moduleMesh
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USE moduleMeshBoundary
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IMPLICIT NONE
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TYPE, PUBLIC, EXTENDS(meshNode):: meshNode3DCart
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!Element coordinates
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REAL(8):: x, y, z
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CONTAINS
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PROCEDURE, PASS:: init => initNode3DCart
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PROCEDURE, PASS:: getCoordinates => getCoord3DCart
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END TYPE meshNode3DCart
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!Triangular surface element
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TYPE, PUBLIC, EXTENDS(meshEdge):: meshEdge3DCartTria
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!Element coordinates
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REAL(8):: x(1:3) = 0.D0, y(1:3) = 0.D0, z(1:3) = 0.D0
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!Connectivity to nodes
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CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL()
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CONTAINS
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PROCEDURE, PASS:: init => initEdge3DCartTria
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PROCEDURE, PASS:: getNodes => getNodes3DCartTria
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PROCEDURE, PASS:: intersection => intersection3DCartTria
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PROCEDURE, PASS:: randPos => randPosEdgeTria
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PROCEDURE, NOPASS:: fPsi => fPsiEdgeTria
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END TYPE meshEdge3DCartTria
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TYPE, PUBLIC, ABSTRACT, EXTENDS(meshVol):: meshVol3DCart
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CONTAINS
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PROCEDURE, PASS:: detJac => detJ3DCart
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PROCEDURE, PASS:: invJac => invJ3DCart
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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 meshVol3DCart
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ABSTRACT INTERFACE
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PURE FUNCTION dPsi_interface(xii) RESULT(dPsi)
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REAL(8), INTENT(in):: xii(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, dy, dz)
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IMPORT meshVol3DCart
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CLASS(meshVol3DCart), INTENT(in):: self
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REAL(8), INTENT(in):: dPsi(1:,1:)
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REAL(8), INTENT(out), DIMENSION(1:3):: dx, dy, dz
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END SUBROUTINE partialDer_interface
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END INTERFACE
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!Tetrahedron volume element
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TYPE, PUBLIC, EXTENDS(meshVol3DCart):: meshVol3DCartTetra
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!Element Coordinates
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REAL(8):: x(1:4) = 0.D0, y(1:4) = 0.D0, z(1:4) = 0.D0
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!Connectivity to nodes
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CLASS(meshNode), POINTER:: n1 => NULL(), n2 => NULL(), n3 => NULL(), n4 => NULL()
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!Connectivity to adjacent elements
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CLASS(meshElement), POINTER:: e1 => NULL(), e2 => NULL(), e3 => NULL(), e4 => NULL()
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CONTAINS
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PROCEDURE, PASS:: init => initVolTetra3DCart
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PROCEDURE, PASS:: randPos => randPosVolTetra
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PROCEDURE, PASS:: calcVol => volumeTetra
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PROCEDURE, NOPASS:: fPsi => fPsiTetra
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PROCEDURE, NOPASS:: dPsi => dPsiTetra
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PROCEDURE, NOPASS:: dPsiXi1 => dPsiTetraXii1
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PROCEDURE, NOPASS:: dPsiXi2 => dPsiTetraXii2
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PROCEDURE, PASS:: partialDer => partialDerTetra
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PROCEDURE, PASS:: elemK => elemKTetra
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PROCEDURE, PASS:: elemF => elemFTetra
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PROCEDURE, NOPASS:: inside => insideTetra
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PROCEDURE, PASS:: gatherEF => gatherEFTetra
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PROCEDURE, PASS:: getNodes => getNodesTetra
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PROCEDURE, PASS:: phy2log => phy2logTetra
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PROCEDURE, PASS:: nextElement => nextElementTetra
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END TYPE meshVol3DCartTetra
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CONTAINS
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!NODE FUNCTIONS
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!Inits node element
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SUBROUTINE initNode3DCart(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(meshNode3DCart), 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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self%y = r(2)/L_ref
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self%z = r(3)/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 initNode3DCart
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!Get coordinates from node
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PURE FUNCTION getCoord3DCart(self) RESULT(r)
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IMPLICIT NONE
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CLASS(meshNode3DCart), INTENT(in):: self
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REAL(8):: r(1:3)
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r = (/self%x, self%y, self%z/)
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END FUNCTION getCoord3DCart
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!SURFACE FUNCTIONS
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!Inits surface element
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SUBROUTINE initEdge3DCartTria(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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USE moduleMath
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IMPLICIT NONE
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CLASS(meshEdge3DCartTria), 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, r2, r3
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REAL(8), DIMENSION(1:3):: vec1, vec2
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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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self%n2 => mesh%nodes(p(2))%obj
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self%n3 => mesh%nodes(p(3))%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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r3 = self%n3%getCoordinates()
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self%x = (/r1(1), r2(1), r3(1)/)
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self%y = (/r1(2), r2(2), r3(2)/)
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self%z = (/r1(3), r2(3), r3(3)/)
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!Normal vector
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vec1 = (/ self%x(2) - self%x(1), &
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self%y(2) - self%y(1), &
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self%z(2) - self%z(1) /)
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vec2 = (/ self%x(3) - self%x(1), &
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self%y(3) - self%y(1), &
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self%z(3) - self%z(1) /)
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self%normal = crossProduct(vec1, vec2)
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self%normal = normalize(self%normal)
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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 initEdge3DCartTria
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!Get nodes from surface
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PURE FUNCTION getNodes3DCartTria(self) RESULT(n)
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IMPLICIT NONE
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CLASS(meshEdge3DCartTria), INTENT(in):: self
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INTEGER, ALLOCATABLE:: n(:)
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ALLOCATE(n(1:3))
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n = (/self%n1%n, self%n2%n, self%n3%n/)
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END FUNCTION getNodes3DCartTria
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PURE FUNCTION intersection3DCartTria(self, r0) RESULT(r)
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IMPLICIT NONE
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CLASS(meshEdge3DCartTria), INTENT(in):: self
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REAL(8), INTENT(in):: r0(1:3)
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REAL(8), DIMENSION(1:3):: r
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REAL(8), DIMENSION(1:3):: edge0, edgeV
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REAL(8):: tI
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edge0 = (/self%x(1), self%y(1), self%z(1) /)
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edgeV = (/self%x(2), self%y(2), self%z(2) /) - edge0
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tI = DOT_PRODUCT(r0 - edge0, edgeV)/DOT_PRODUCT(edgeV, edgeV)
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r = edge0 + tI*edgeV
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END FUNCTION intersection3DCartTria
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!Calculates a random position in the surface
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FUNCTION randPosEdgeTria(self) RESULT(r)
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USE moduleRandom
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IMPLICIT NONE
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CLASS(meshEdge3DCartTria), 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):: fPsi(1:3)
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xii(1) = random( 0.D0, 1.D0)
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xii(2) = random( 0.D0, 1.D0 - xii(1))
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xii(3) = 0.D0
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fPsi = self%fPsi(xii)
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r = (/DOT_PRODUCT(fPsi, self%x), &
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DOT_PRODUCT(fPsi, self%y), &
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DOT_PRODUCT(fPsi, self%z)/)
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END FUNCTION randPosEdgeTria
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!Shape functions for triangular surface
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PURE FUNCTION fPsiEdgeTria(xii) RESULT(fPsi)
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IMPLICIT NONE
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REAL(8), INTENT(in):: xii(1:3)
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REAL(8), ALLOCATABLE:: fPsi(:)
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ALLOCATE(fPsi(1:3))
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fPsi(1) = 1.D0 - xii(1) - xii(2)
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fPsi(2) = xii(1)
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fPsi(3) = xii(2)
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END FUNCTION fPsiEdgeTria
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!VOLUME FUNCTIONS
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!TETRA FUNCTIONS
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!Inits tetrahedron element
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SUBROUTINE initVolTetra3DCart(self, n, p, nodes)
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USE moduleRefParam
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IMPLICIT NONE
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CLASS(meshVol3DCartTetra), 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, r3, r4 !Positions of each node
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REAL(8):: volNodes(1:4) !Volume of each node
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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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self%n3 => nodes(p(3))%obj
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self%n4 => nodes(p(4))%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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r3 = self%n3%getCoordinates()
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r4 = self%n4%getCoordinates()
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self%x = (/r1(1), r2(1), r3(1), r4(1)/)
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self%y = (/r1(2), r2(2), r3(2), r4(2)/)
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self%z = (/r1(3), r2(3), r3(3), r4(3)/)
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!Computes the element volume
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CALL self%calcVol()
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!Assign proportional volume to each node
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!TODO: Review this to apply to all elements in the future
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volNodes = self%fPsi((/0.25D0, 0.25D0, 0.25D0/))*self%volume
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self%n1%v = self%n1%v + volNodes(1)
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self%n2%v = self%n2%v + volNodes(2)
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self%n3%v = self%n3%v + volNodes(3)
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self%n4%v = self%n4%v + volNodes(4)
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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 initVolTetra3DCart
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!Random position in volume tetrahedron
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FUNCTION randPosVolTetra(self) RESULT(r)
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USE moduleRandom
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IMPLICIT NONE
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CLASS(meshVol3DCartTetra), 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( 0.D0, 1.D0)
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xii(2) = random( 0.D0, 1.D0 - xii(1))
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xii(3) = random( 0.D0, 1.D0 - xii(1) - xii(2))
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ALLOCATE(fPsi(1:4))
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fPsi = self%fPsi(xii)
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r(1) = DOT_PRODUCT(fPsi, self%x)
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r(2) = DOT_PRODUCT(fPsi, self%y)
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r(3) = DOT_PRODUCT(fPsi, self%z)
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END FUNCTION randPosVolTetra
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!Computes the element volume
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PURE SUBROUTINE volumeTetra(self)
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IMPLICIT NONE
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CLASS(meshVol3DCartTetra), INTENT(inout):: self
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REAL(8):: xii(1:3)
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self%volume = 0.D0
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xii = (/0.25D0, 0.25D0, 0.25D0/)
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self%volume = self%detJac(xii)
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END SUBROUTINE volumeTetra
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!Computes element functions in point xii
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PURE FUNCTION fPsiTetra(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(1:4))
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fPsi(1) = 1.D0 - xi(1) - xi(2) - xi(3)
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fPsi(2) = xi(1)
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fPsi(3) = xi(2)
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fPsi(4) = xi(3)
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END FUNCTION fPsiTetra
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!Derivative element function at coordinates xii
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PURE FUNCTION dPsiTetra(xii) RESULT(dPsi)
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IMPLICIT NONE
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REAL(8), INTENT(in):: xii(1:3)
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REAL(8), ALLOCATABLE:: dPsi(:,:)
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ALLOCATE(dPsi(1:3,1:4))
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dPsi(1,:) = dPsiTetraXii1(xii(2), xii(3))
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dPsi(2,:) = dPsiTetraXii2(xii(1), xii(3))
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dPsi(3,:) = dPsiTetraXii3(xii(1), xii(2))
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END FUNCTION dPsiTetra
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!Derivative element function respect to xii1
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PURE FUNCTION dPsiTetraXii1(xii2, xii3) RESULT(dPsiXii1)
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IMPLICIT NONE
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REAL(8), INTENT(in):: xii2, xii3
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REAL(8):: dPsiXii1(1:4)
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dPsiXii1(1) = -1.D0
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dPsiXii1(2) = 1.D0
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dPsiXii1(3) = 0.D0
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dPsiXii1(4) = 0.D0
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END FUNCTION dPsiTetraXii1
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!Derivative element function respect to xii2
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PURE FUNCTION dPsiTetraXii2(xii1, xii3) RESULT(dPsiXii2)
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IMPLICIT NONE
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REAL(8), INTENT(in):: xii1, xii3
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REAL(8):: dPsiXii2(1:4)
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dPsiXii2(1) = -1.D0
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dPsiXii2(2) = 0.D0
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dPsiXii2(3) = 1.D0
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dPsiXii2(4) = 0.D0
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END FUNCTION dPsiTetraXii2
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!Derivative element function respect to xii3
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PURE FUNCTION dPsiTetraXii3(xii1, xii2) RESULT(dPsiXii3)
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IMPLICIT NONE
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REAL(8), INTENT(in):: xii1, xii2
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REAL(8):: dPsiXii3(1:4)
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dPsiXii3(1) = -1.D0
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dPsiXii3(2) = 0.D0
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dPsiXii3(3) = 0.D0
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dPsiXii3(4) = 1.D0
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END FUNCTION dPsiTetraXii3
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!Computes the derivatives in global coordinates
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PURE SUBROUTINE partialDerTetra(self, dPsi, dx, dy, dz)
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IMPLICIT NONE
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CLASS(meshVol3DCartTetra), INTENT(in):: self
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REAL(8), INTENT(in):: dPsi(1:, 1:)
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REAL(8), INTENT(out), DIMENSION(1:3):: dx, dy, dz
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dx(1) = DOT_PRODUCT(dPsi(1,:), self%x)
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dx(2) = DOT_PRODUCT(dPsi(2,:), self%x)
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dx(3) = DOT_PRODUCT(dPsi(3,:), self%x)
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dy(1) = DOT_PRODUCT(dPsi(1,:), self%y)
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dy(2) = DOT_PRODUCT(dPsi(2,:), self%y)
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dy(3) = DOT_PRODUCT(dPsi(3,:), self%y)
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dz(1) = DOT_PRODUCT(dPsi(1,:), self%z)
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dz(2) = DOT_PRODUCT(dPsi(2,:), self%z)
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dz(3) = DOT_PRODUCT(dPsi(3,:), self%z)
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END SUBROUTINE partialDerTetra
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PURE FUNCTION elemKTetra(self) RESULT(localK)
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IMPLICIT NONE
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CLASS(meshVol3DCartTetra), 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):: fPsi(1:4), dPsi(1:3, 1:4)
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REAL(8):: invJ(1:3,1:3), detJ
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ALLOCATE(localK(1:4,1:4))
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localK = 0.D0
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xii = 0.D0
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!TODO: One point Gauss integral. Upgrade when possible
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xii = (/ 0.25D0, 0.25D0, 0.25D0 /)
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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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fPsi = self%fPsi(xii)
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localK = MATMUL(TRANSPOSE(MATMUL(invJ,dPsi)),MATMUL(invJ,dPsi))*1.D0/detJ
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END FUNCTION elemKTetra
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PURE FUNCTION elemFTetra(self, source) RESULT(localF)
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IMPLICIT NONE
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CLASS(meshVol3DCartTetra), 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(1:4), dPsi(1:3, 1:4)
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REAL(8):: xii(1:3)
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REAL(8):: detJ, f
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ALLOCATE(localF(1:4))
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localF = 0.D0
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xii = 0.D0
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!TODO: One point Gauss integral. Upgrade when possible
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xii = (/ 0.25D0, 0.25D0, 0.25D0 /)
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|
dPsi = self%dPsi(xii)
|
|
detJ = self%detJac(xii, dPsi)
|
|
fPsi = self%fPsi(xii)
|
|
f = DOT_PRODUCT(fPsi, source)
|
|
localF = f*fPsi*1.D0*detJ
|
|
|
|
END FUNCTION elemFTetra
|
|
|
|
PURE FUNCTION insideTetra(xi) RESULT(ins)
|
|
IMPLICIT NONE
|
|
|
|
REAL(8), INTENT(in):: xi(1:3)
|
|
LOGICAL:: ins
|
|
|
|
ins = xi(1) >= 0.D0 .AND. &
|
|
xi(2) >= 0.D0 .AND. &
|
|
xi(3) >= 0.D0 .AND. &
|
|
1.D0 - xi(1) - xi(2) - xi(3) >= 0.D0
|
|
|
|
END FUNCTION insideTetra
|
|
|
|
PURE FUNCTION gatherEFTetra(self, xi) RESULT(EF)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshVol3DCartTetra), INTENT(in):: self
|
|
REAL(8), INTENT(in):: xi(1:3)
|
|
REAL(8):: dPsi(1:3, 1:4)
|
|
REAL(8):: dPsiR(1:3, 1:4)
|
|
REAL(8):: invJ(1:3, 1:3), detJ
|
|
REAL(8):: phi(1:4)
|
|
REAL(8):: EF(1:3)
|
|
|
|
phi = (/self%n1%emData%phi, &
|
|
self%n2%emData%phi, &
|
|
self%n3%emData%phi, &
|
|
self%n4%emData%phi /)
|
|
|
|
dPsi = self%dPsi(xi)
|
|
detJ = self%detJac(xi, dPsi)
|
|
invJ = self%invJac(xi, dPsi)
|
|
dPsiR = MATMUL(invJ, dPsi)/detJ
|
|
EF(1) = -DOT_PRODUCT(dPsiR(1,:), phi)
|
|
EF(2) = -DOT_PRODUCT(dPsiR(2,:), phi)
|
|
EF(3) = -DOT_PRODUCT(dPsiR(3,:), phi)
|
|
|
|
END FUNCTION gatherEFTetra
|
|
|
|
PURE FUNCTION getNodesTetra(self) RESULT(n)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshVol3DCartTetra), INTENT(in):: self
|
|
INTEGER, ALLOCATABLE:: n(:)
|
|
|
|
ALLOCATE(n(1:4))
|
|
n = (/self%n1%n, self%n2%n, self%n3%n, self%n4%n /)
|
|
|
|
END FUNCTION getNodesTetra
|
|
|
|
PURE FUNCTION phy2logTetra(self,r) RESULT(xi)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshVol3DCartTetra), INTENT(in):: self
|
|
REAL(8), INTENT(in):: r(1:3)
|
|
REAL(8):: xi(1:3)
|
|
REAL(8):: invJ(1:3, 1:3), detJ
|
|
REAL(8):: deltaR(1:3)
|
|
REAL(8):: dPsi(1:3, 1:4)
|
|
|
|
xi = 0.D0
|
|
deltaR = (/r(1) - self%x(1), r(2) - self%y(1), r(3) - self%z(1) /)
|
|
dPsi = self%dPsi(xi)
|
|
invJ = self%invJac(xi, dPsi)
|
|
detJ = self%detJac(xi, dPsi)
|
|
xi = MATMUL(invJ, deltaR)/detJ
|
|
|
|
END FUNCTION phy2logTetra
|
|
|
|
SUBROUTINE nextElementTetra(self, xi, nextElement)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshVol3DCartTetra), INTENT(in):: self
|
|
REAL(8), INTENT(in):: xi(1:3)
|
|
CLASS(meshElement), POINTER, INTENT(out):: nextElement
|
|
REAL(8):: xiArray(1:4)
|
|
INTEGER:: nextInt
|
|
|
|
!TODO: Review when connectivity
|
|
xiArray = (/ xi(3), 1.D0 - xi(1) - xi(2) - xi(3), xi(2), xi(1) /)
|
|
nextInt = MINLOC(xiArray, 1)
|
|
NULLIFY(nextElement)
|
|
SELECT CASE(nextInt)
|
|
CASE (1)
|
|
nextElement => self%e1
|
|
CASE (2)
|
|
nextElement => self%e2
|
|
CASE (3)
|
|
nextElement => self%e3
|
|
CASE (4)
|
|
nextElement => self%e4
|
|
END SELECT
|
|
|
|
END SUBROUTINE nextElementTetra
|
|
|
|
!COMMON FUNCTIONS FOR CARTESIAN VOLUME ELEMENTS IN 3D
|
|
!Computes element Jacobian determinant
|
|
PURE FUNCTION detJ3DCart(self, xi, dPsi_in) RESULT(dJ)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshVol3DCart), INTENT(in)::self
|
|
REAL(8), INTENT(in):: xi(1:3)
|
|
REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:, 1:)
|
|
REAL(8):: dJ
|
|
REAL(8), ALLOCATABLE:: dPsi(:,:)
|
|
REAL(8):: dx(1:3), dy(1:3), dz(1:3)
|
|
|
|
IF (PRESENT(dPsi_in)) THEN
|
|
dPsi = dPsi_in
|
|
|
|
ELSE
|
|
dPsi = self%dPsi(xi)
|
|
|
|
END IF
|
|
|
|
CALL self%partialDer(dPsi, dx, dy, dz)
|
|
dJ = dx(1)*(dy(2)*dz(3) - dy(3)*dz(2)) &
|
|
- dx(2)*(dy(1)*dz(3) - dy(3)*dz(1)) &
|
|
+ dx(3)*(dy(1)*dz(2) - dy(2)*dz(1))
|
|
|
|
END FUNCTION detJ3DCart
|
|
|
|
PURE FUNCTION invJ3DCart(self,xi,dPsi_in) RESULT(invJ)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshVol3DCart), INTENT(in):: self
|
|
REAL(8), INTENT(in):: xi(1:3)
|
|
REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:,1:)
|
|
REAL(8), ALLOCATABLE:: dPsi(:,:)
|
|
REAL(8), DIMENSION(1:3):: dx, dy, dz
|
|
REAL(8):: invJ(1:3,1:3)
|
|
|
|
IF(PRESENT(dPsi_in)) THEN
|
|
dPsi=dPsi_in
|
|
|
|
ELSE
|
|
dPsi = self%dPsi(xi)
|
|
|
|
END IF
|
|
|
|
CALL self%partialDer(dPsi, dx, dy, dz)
|
|
invJ(1,1) = (dy(2)*dz(3) - dy(3)*dz(2))
|
|
invJ(1,2) = -(dy(1)*dz(3) - dy(3)*dz(1))
|
|
invJ(1,3) = (dy(1)*dz(2) - dy(2)*dz(1))
|
|
|
|
invJ(2,1) = -(dx(2)*dz(3) - dx(3)*dz(2))
|
|
invJ(2,2) = (dx(1)*dz(3) - dx(3)*dz(1))
|
|
invJ(2,3) = -(dx(1)*dz(2) - dx(2)*dz(1))
|
|
|
|
invJ(3,1) = (dx(2)*dy(3) - dx(3)*dy(2))
|
|
invJ(3,2) = -(dx(1)*dy(3) - dx(3)*dy(1))
|
|
invJ(3,3) = (dx(1)*dy(2) - dx(2)*dy(1))
|
|
|
|
invJ = TRANSPOSE(invJ)
|
|
|
|
END FUNCTION invJ3DCart
|
|
|
|
!Selects type of elements to build connection
|
|
SUBROUTINE connectVolVol(elemA, elemB)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshVol), INTENT(inout):: elemA
|
|
CLASS(meshVol), INTENT(inout):: elemB
|
|
|
|
SELECT TYPE(elemA)
|
|
TYPE IS(meshVol3DCartTetra)
|
|
!Element A is a tetrahedron
|
|
SELECT TYPE(elemB)
|
|
TYPE IS(meshVol3DCartTetra)
|
|
!Element B is a tetrahedron
|
|
CALL connectTetraTetra(elemA, elemB)
|
|
|
|
END SELECT
|
|
|
|
END SELECT
|
|
|
|
END SUBROUTINE connectVolVol
|
|
|
|
SUBROUTINE connectVolEdge(elemA, elemB)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshVol), INTENT(inout):: elemA
|
|
CLASS(meshEdge), INTENT(inout):: elemB
|
|
|
|
SELECT TYPE(elemB)
|
|
CLASS IS(meshEdge3DCartTria)
|
|
SELECT TYPE(elemA)
|
|
TYPE IS(meshVol3DCartTetra)
|
|
!Element A is a tetrahedron
|
|
CALL connectTetraEdge(elemA, elemB)
|
|
|
|
END SELECT
|
|
|
|
END SELECT
|
|
|
|
END SUBROUTINE connectVolEdge
|
|
|
|
SUBROUTINE connectMesh3DCart(self)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshGeneric), INTENT(inout):: self
|
|
INTEGER:: e, et
|
|
|
|
DO e = 1, self%numVols
|
|
!Connect Vol-Vol
|
|
DO et = 1, self%numVols
|
|
IF (e /= et) THEN
|
|
CALL connectVolVol(self%vols(e)%obj, self%vols(et)%obj)
|
|
|
|
END IF
|
|
|
|
END DO
|
|
|
|
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 connectMesh3DCart
|
|
|
|
!Checks if two sets of nodes are coincidend in any order
|
|
PURE FUNCTION coincidentNodes(nodesA, nodesB) RESULT(coincident)
|
|
IMPLICIT NONE
|
|
|
|
INTEGER, DIMENSION(1:3), INTENT(in):: nodesA, nodesB
|
|
LOGICAL:: coincident
|
|
INTEGER:: i
|
|
|
|
coincident = .FALSE.
|
|
DO i = 1, 3
|
|
IF (ANY(nodesA(i) == nodesB)) THEN
|
|
coincident = .TRUE.
|
|
|
|
ELSE
|
|
coincident = .FALSE.
|
|
EXIT
|
|
|
|
END IF
|
|
|
|
END DO
|
|
|
|
END FUNCTION coincidentNodes
|
|
|
|
SUBROUTINE connectTetraTetra(elemA, elemB)
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemA
|
|
CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemB
|
|
|
|
!Check surface 1
|
|
IF (.NOT. ASSOCIATED(elemA%e1)) THEN
|
|
IF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
|
|
(/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
|
|
|
|
elemA%e1 => elemB
|
|
elemB%e1 => elemA
|
|
|
|
ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
|
|
(/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
|
|
|
|
elemA%e1 => elemB
|
|
elemB%e2 => elemA
|
|
|
|
ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
|
|
(/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
|
|
|
|
elemA%e1 => elemB
|
|
elemB%e3 => elemA
|
|
|
|
ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n3%n/), &
|
|
(/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
|
|
|
|
elemA%e1 => elemB
|
|
elemB%e4 => elemA
|
|
|
|
END IF
|
|
|
|
END IF
|
|
|
|
!Check surface 2
|
|
IF (.NOT. ASSOCIATED(elemA%e2)) THEN
|
|
IF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
|
|
(/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
|
|
|
|
elemA%e2 => elemB
|
|
elemB%e1 => elemA
|
|
|
|
ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
|
|
(/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
|
|
|
|
elemA%e2 => elemB
|
|
elemB%e2 => elemA
|
|
|
|
ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
|
|
(/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
|
|
|
|
elemA%e2 => elemB
|
|
elemB%e3 => elemA
|
|
|
|
ELSEIF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
|
|
(/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
|
|
|
|
elemA%e2 => elemB
|
|
elemB%e4 => elemA
|
|
|
|
END IF
|
|
|
|
END IF
|
|
|
|
!Check surface 3
|
|
IF (.NOT. ASSOCIATED(elemA%e3)) THEN
|
|
IF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
|
|
(/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
|
|
|
|
elemA%e3 => elemB
|
|
elemB%e1 => elemA
|
|
|
|
ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
|
|
(/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
|
|
|
|
elemA%e3 => elemB
|
|
elemB%e2 => elemA
|
|
|
|
ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
|
|
(/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
|
|
|
|
elemA%e3 => elemB
|
|
elemB%e3 => elemA
|
|
|
|
ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elemA%n4%n/), &
|
|
(/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
|
|
|
|
elemA%e3 => elemB
|
|
elemB%e4 => elemA
|
|
|
|
END IF
|
|
|
|
END IF
|
|
|
|
!Check surface 4
|
|
IF (.NOT. ASSOCIATED(elemA%e4)) THEN
|
|
IF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
|
|
(/elemB%n1%n, elemB%n2%n, elemB%n3%n/))) THEN
|
|
|
|
elemA%e4 => elemB
|
|
elemB%e1 => elemA
|
|
|
|
ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
|
|
(/elemB%n2%n, elemB%n3%n, elemB%n4%n/))) THEN
|
|
|
|
elemA%e4 => elemB
|
|
elemB%e2 => elemA
|
|
|
|
ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
|
|
(/elemB%n1%n, elemB%n2%n, elemB%n4%n/))) THEN
|
|
|
|
elemA%e4 => elemB
|
|
elemB%e3 => elemA
|
|
|
|
ELSEIF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elemA%n4%n/), &
|
|
(/elemB%n1%n, elemB%n3%n, elemB%n4%n/))) THEN
|
|
|
|
elemA%e4 => elemB
|
|
elemB%e4 => elemA
|
|
|
|
END IF
|
|
|
|
END IF
|
|
|
|
END SUBROUTINE connectTetraTetra
|
|
|
|
SUBROUTINE connectTetraEdge(elemA, elemB)
|
|
USE moduleMath
|
|
IMPLICIT NONE
|
|
|
|
CLASS(meshVol3DCartTetra), INTENT(inout), TARGET:: elemA
|
|
CLASS(meshEdge3DCartTria), INTENT(inout), TARGET:: elemB
|
|
INTEGER:: nodesEdge(1:3)
|
|
REAL(8), DIMENSION(1:3):: vec1, vec2
|
|
REAL(8):: normVol(1:3)
|
|
|
|
nodesEdge = (/ elemB%n1%n, elemB%n2%n, elemB%n3%n /)
|
|
|
|
!Check surface 1
|
|
IF (.NOT. ASSOCIATED(elemA%e1)) THEN
|
|
IF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elema%n3%n/), &
|
|
nodesEdge)) THEN
|
|
|
|
vec1 = (/ elemA%x(2) - elemA%x(1), &
|
|
elemA%y(2) - elemA%y(1), &
|
|
elemA%z(2) - elemA%z(1) /)
|
|
vec2 = (/ elemA%x(3) - elemA%x(1), &
|
|
elemA%y(3) - elemA%y(1), &
|
|
elemA%z(3) - elemA%z(1) /)
|
|
normVol = crossProduct(vec1, vec2)
|
|
normVol = normalize(normVol)
|
|
|
|
IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
|
|
|
|
elemA%e1 => elemB
|
|
elemB%e1 => elemA
|
|
|
|
ELSE
|
|
|
|
elemA%e1 => elemB
|
|
elemB%e2 => elemA
|
|
|
|
!Revers the normal to point inside the domain
|
|
elemB%normal = -elemB%normal
|
|
|
|
END IF
|
|
|
|
END IF
|
|
|
|
END IF
|
|
|
|
!Check surface 2
|
|
IF (.NOT. ASSOCIATED(elemA%e2)) THEN
|
|
IF (coincidentNodes((/elemA%n2%n, elemA%n3%n, elemA%n4%n/), &
|
|
nodesEdge)) THEN
|
|
|
|
vec1 = (/ elemA%x(3) - elemA%x(2), &
|
|
elemA%y(3) - elemA%y(2), &
|
|
elemA%z(3) - elemA%z(2) /)
|
|
vec2 = (/ elemA%x(4) - elemA%x(2), &
|
|
elemA%y(4) - elemA%y(2), &
|
|
elemA%z(4) - elemA%z(2) /)
|
|
normVol = crossProduct(vec1, vec2)
|
|
normVol = normalize(normVol)
|
|
|
|
IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
|
|
|
|
elemA%e2 => elemB
|
|
elemB%e1 => elemA
|
|
|
|
ELSE
|
|
|
|
elemA%e2 => elemB
|
|
elemB%e2 => elemA
|
|
|
|
!Revers the normal to point inside the domain
|
|
elemB%normal = -elemB%normal
|
|
|
|
END IF
|
|
|
|
END IF
|
|
|
|
END IF
|
|
|
|
!Check surface 3
|
|
IF (.NOT. ASSOCIATED(elemA%e3)) THEN
|
|
IF (coincidentNodes((/elemA%n1%n, elemA%n2%n, elema%n4%n/), &
|
|
nodesEdge)) THEN
|
|
|
|
vec1 = (/ elemA%x(2) - elemA%x(1), &
|
|
elemA%y(2) - elemA%y(1), &
|
|
elemA%z(2) - elemA%z(1) /)
|
|
vec2 = (/ elemA%x(4) - elemA%x(1), &
|
|
elemA%y(4) - elemA%y(1), &
|
|
elemA%z(4) - elemA%z(1) /)
|
|
normVol = crossProduct(vec1, vec2)
|
|
normVol = normalize(normVol)
|
|
|
|
IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
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elemA%e3 => elemB
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elemB%e1 => elemA
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ELSE
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elemA%e3 => elemB
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elemB%e2 => elemA
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!Revers the normal to point inside the domain
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elemB%normal = -elemB%normal
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END IF
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END IF
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END IF
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!Check surface 4
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IF (.NOT. ASSOCIATED(elemA%e4)) THEN
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IF (coincidentNodes((/elemA%n1%n, elemA%n3%n, elema%n4%n/), &
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nodesEdge)) THEN
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vec1 = (/ elemA%x(3) - elemA%x(1), &
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elemA%y(3) - elemA%y(1), &
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elemA%z(3) - elemA%z(1) /)
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vec2 = (/ elemA%x(4) - elemA%x(1), &
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elemA%y(4) - elemA%y(1), &
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elemA%z(4) - elemA%z(1) /)
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normVol = crossProduct(vec1, vec2)
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normVol = normalize(normVol)
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IF (DOT_PRODUCT(elemB%normal, normVol) == -1.D0) THEN
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elemA%e4 => elemB
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elemB%e1 => elemA
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ELSE
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elemA%e4 => elemB
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elemB%e2 => elemA
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!Revers the normal to point inside the domain
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elemB%normal = -elemB%normal
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END IF
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END IF
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END IF
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END SUBROUTINE connectTetraEdge
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END MODULE moduleMesh3DCart
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