Small improvement
Very small improvement in performance. Still, partialDer takes too long to compute. Trying to find ways to improve it.
This commit is contained in:
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ba272de4e3
commit
7b7a5c45ca
6 changed files with 788 additions and 837 deletions
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@ -8,13 +8,14 @@ MODULE moduleMesh1DRad
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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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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):: meshNode1DRad
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!Element coordinates
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REAL(8):: r = 0.D0
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CONTAINS
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PROCEDURE, PASS:: init => initNode1DRad
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!meshNode DEFERRED PROCEDURES
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PROCEDURE, PASS:: init => initNode1DRad
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PROCEDURE, PASS:: getCoordinates => getCoord1DRad
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END TYPE meshNode1DRad
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@ -25,6 +26,7 @@ MODULE moduleMesh1DRad
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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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!meshEdge DEFERRED PROCEDURES
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PROCEDURE, PASS:: init => initEdge1DRad
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PROCEDURE, PASS:: getNodes => getNodes1DRad
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PROCEDURE, PASS:: intersection => intersection1DRad
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@ -32,28 +34,7 @@ MODULE moduleMesh1DRad
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END TYPE meshEdge1DRad
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TYPE, PUBLIC, ABSTRACT, EXTENDS(meshCell):: meshCell1DRad
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CONTAINS
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PROCEDURE, PASS:: detJac => detJ1DRad
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PROCEDURE, PASS:: invJac => invJ1DRad
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PROCEDURE(partialDer_interface), DEFERRED, PASS:: partialDer
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END TYPE meshCell1DRad
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ABSTRACT INTERFACE
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PURE SUBROUTINE partialDer_interface(self, nNodes, dPsi, dx)
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IMPORT meshCell1DRad
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CLASS(meshCell1DRad), INTENT(in):: self
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INTEGER, INTENT(in):: nNodes
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REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
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REAL(8), 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(meshCell1DRad):: meshCell1DRadSegm
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TYPE, PUBLIC, EXTENDS(meshCell):: meshCell1DRadSegm
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!Element coordinates
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REAL(8):: r(1:2)
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!Connectivity to nodes
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@ -62,20 +43,24 @@ MODULE moduleMesh1DRad
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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 => initCell1DRadSegm
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PROCEDURE, PASS:: randPos => randPos1DRadSeg
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PROCEDURE, PASS:: area => areaRad
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PROCEDURE, PASS:: fPsi => fPsiRad
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PROCEDURE, PASS:: dPsi => dPsiRad
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PROCEDURE, PASS:: partialDer => partialDerRad
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PROCEDURE, PASS:: elemK => elemKRad
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PROCEDURE, PASS:: elemF => elemFRad
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PROCEDURE, PASS:: gatherElectricField => gatherEFRad
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PROCEDURE, PASS:: gatherMagneticField => gatherMFRad
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PROCEDURE, NOPASS:: inside => insideRad
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PROCEDURE, PASS:: getNodes => getNodesRad
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PROCEDURE, PASS:: phy2log => phy2logRad
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PROCEDURE, PASS:: nextElement => nextElementRad
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!meshCell DEFERRED PROCEDURES
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PROCEDURE, PASS:: init => initCell1DRadSegm
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PROCEDURE, PASS:: getNodes => getNodesSegm
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PROCEDURE, PASS:: randPos => randPos1DRadSegm
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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, NOPASS:: detJac => detJ1DRad
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PROCEDURE, NOPASS:: invJac => invJ1DRad
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PROCEDURE, PASS:: gatherElectricField => gatherEFSegm
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PROCEDURE, PASS:: gatherMagneticField => gatherMFSegm
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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:: phy2log => phy2logSegm
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PROCEDURE, PASS:: neighbourElement => neighbourElementSegm
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!PARTICLUAR PROCEDURES
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PROCEDURE, PASS, PRIVATE:: area => areaSegm
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END TYPE meshCell1DRadSegm
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@ -139,7 +124,6 @@ MODULE moduleMesh1DRad
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self%r = r1(1)
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self%normal = (/ 1.D0, 0.D0, 0.D0 /)
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self%normal = self%normal/NORM2(self%normal)
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!Boundary index
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self%boundary => boundary(bt)
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@ -221,8 +205,20 @@ MODULE moduleMesh1DRad
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END SUBROUTINE initCell1DRadSegm
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!Calculates a random position in 1D volume
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FUNCTION randPos1DRadSeg(self) RESULT(r)
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!Get nodes from 1D volume
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PURE FUNCTION getNodesSegm(self, nNodes) RESULT(n)
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IMPLICIT NONE
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CLASS(meshCell1DRadSegm), INTENT(in):: self
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INTEGER, INTENT(in):: nNodes
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INTEGER:: n(1:nNodes)
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n = (/ self%n1%n, self%n2%n /)
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END FUNCTION getNodesSegm
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!Random position in 1D volume
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FUNCTION randPos1DRadSegm(self) RESULT(r)
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USE moduleRandom
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IMPLICIT NONE
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@ -231,152 +227,63 @@ MODULE moduleMesh1DRad
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REAL(8):: Xi(1:3)
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REAL(8):: fPsi(1:2)
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Xi(1) = random(-1.D0, 1.D0)
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Xi(2:3) = 0.D0
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Xi = 0.D0
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Xi(1) = random(-1.D0, 1.D0)
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fPsi = self%fPsi(Xi, 2)
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r = 0.D0
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r(1) = DOT_PRODUCT(fPsi, self%r)
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END FUNCTION randPos1DRadSeg
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!Computes element area
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PURE SUBROUTINE areaRad(self)
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IMPLICIT NONE
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CLASS(meshCell1DRadSegm), INTENT(inout):: self
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REAL(8):: l !element length
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REAL(8):: fPsi(1:2), fPsi_node(1:2)
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REAL(8):: r
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REAL(8):: detJ
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REAL(8):: Xi(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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Xi = 0.D0
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fPsi = self%fPsi(Xi, 2)
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detJ = self%detJac(Xi, 2)
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!Computes total volume of the cell
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r = DOT_PRODUCT(fPsi, self%r)
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l = 2.D0*detJ
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self%volume = r*l
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!Computes volume per node
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Xi = (/-5.D-1, 0.D0, 0.D0/)
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r = self%gatherF(Xi, 2, self%r)
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self%arNodes(1) = fPsi(1)*r*l
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Xi = (/ 5.D-1, 0.D0, 0.D0/)
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r = self%gatherF(Xi, 2, self%r)
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self%arNodes(2) = fPsi(2)*r*l
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END SUBROUTINE areaRad
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END FUNCTION randPos1DRadSegm
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!Computes element functions at point Xi
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PURE FUNCTION fPsiRad(self, Xi, nNodes) RESULT(fPsi)
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PURE FUNCTION fPsiSegm(Xi, nNodes) RESULT(fPsi)
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IMPLICIT NONE
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CLASS(meshCell1DRadSegm), INTENT(in):: self
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REAL(8), INTENT(in):: Xi(1:3)
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INTEGER, INTENT(in):: nNodes
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REAL(8):: fPsi(1:nNodes)
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fPsi(1) = 1.D0 - Xi(1)
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fPsi(2) = 1.D0 + Xi(1)
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fPsi = (/ 1.D0 - Xi(1), &
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1.D0 + Xi(1) /)
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fPsi = fPsi * 5.D-1
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fPsi = fPsi * 0.50D0
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END FUNCTION fPsiRad
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END FUNCTION fPsiSegm
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!Computes element derivative shape function at Xi
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PURE FUNCTION dPsiRad(self, Xi, nNodes) RESULT(dPsi)
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!Derivative element function at coordinates Xi
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PURE FUNCTION dPsiSegm(Xi, nNodes) RESULT(dPsi)
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IMPLICIT NONE
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CLASS(meshCell1DRadSegm), INTENT(in):: self
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REAL(8), INTENT(in):: Xi(1:3)
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INTEGER, INTENT(in):: nNodes
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REAL(8):: dPsi(1:3,1:nNodes)
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dPsi = 0.D0
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dPsi(1, 1) = -5.D-1
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dPsi(1, 2) = 5.D-1
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dPsi(1, 1:2) = (/ -5.D-1, 5.D-1 /)
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END FUNCTION dPsiRad
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END FUNCTION dPsiSegm
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!Computes partial derivatives of coordinates
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PURE SUBROUTINE partialDerRad(self, nNodes, dPsi, dx)
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!Partial derivative in global coordinates
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PURE FUNCTION partialDerSegm(self, nNodes, dPsi) RESULT(pDer)
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IMPLICIT NONE
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CLASS(meshCell1DRadSegm), INTENT(in):: self
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INTEGER, INTENT(in):: nNodes
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REAL(8), INTENT(in):: dPsi(1:3,1:nNodes)
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REAL(8), INTENT(out), DIMENSION(1):: dx
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REAL(8):: pDer(1:3, 1:3)
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dx(1) = DOT_PRODUCT(dPsi(1,:), self%r)
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pDer = 0.D0
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END SUBROUTINE partialDerRad
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pDer(1,1) = DOT_PRODUCT(dPsi(1,1:2), self%r(1:2))
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pDer(2,2) = 1.D0
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pDer(3,3) = 1.D0
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!Computes local stiffness matrix
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PURE FUNCTION elemKRad(self, nNodes) RESULT(localK)
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USE moduleConstParam, ONLY: PI2
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IMPLICIT NONE
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END FUNCTION partialDerSegm
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CLASS(meshCell1DRadSegm), INTENT(in):: self
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INTEGER, INTENT(in):: nNodes
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REAL(8):: localK(1:nNodes,1:nNodes)
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REAL(8):: Xi(1:3)
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REAL(8):: dPsi(1:3, 1:2)
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REAL(8):: invJ(1:3,1:3), detJ
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REAL(8):: r, fPsi(1:2)
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INTEGER:: l
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localK = 0.D0
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Xi = 0.D0
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DO l = 1, 3
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Xi(1) = corSeg(l)
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dPsi = self%dPsi(Xi, 2)
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detJ = self%detJac(Xi, 2, dPsi)
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invJ = self%invJac(Xi, 2, dPsi)
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fPsi = self%fPsi(Xi, 2)
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r = DOT_PRODUCT(fPsi, self%r)
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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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r*wSeg(l)/detJ
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END DO
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localK = localK*PI2
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END FUNCTION elemKRad
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PURE FUNCTION elemFRad(self, nNodes, source) RESULT(localF)
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USE moduleConstParam, ONLY: PI2
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IMPLICIT NONE
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CLASS(meshCell1DRadSegm), INTENT(in):: self
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INTEGER, INTENT(in):: nNodes
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REAL(8), INTENT(in):: source(1:nNodes)
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REAL(8):: localF(1:nNodes)
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REAL(8):: fPsi(1:2)
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REAL(8):: detJ, f, r
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REAL(8):: Xi(1:3)
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INTEGER:: l
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localF = 0.D0
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Xi = 0.D0
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DO l = 1, 3
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Xi(1) = corSeg(l)
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detJ = self%detJac(Xi, 2)
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fPsi = self%fPsi(Xi, 2)
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r = DOT_PRODUCT(fPsi, self%r)
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f = DOT_PRODUCT(fPsi, source)
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localF = localF + f*fPsi*r*wSeg(l)*detJ
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END DO
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END FUNCTION elemFRad
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PURE FUNCTION gatherEFRad(self, Xi) RESULT(array)
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PURE FUNCTION gatherEFSegm(self, Xi) RESULT(array)
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IMPLICIT NONE
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CLASS(meshCell1DRadSegm), INTENT(in):: self
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REAL(8), INTENT(in):: Xi(1:3)
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@ -388,9 +295,9 @@ MODULE moduleMesh1DRad
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array = -self%gatherDF(Xi, 2, phi)
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END FUNCTION gatherEFRad
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END FUNCTION gatherEFSegm
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PURE FUNCTION gatherMFRad(self, Xi) RESULT(array)
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PURE FUNCTION gatherMFSegm(self, Xi) RESULT(array)
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IMPLICIT NONE
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CLASS(meshCell1DRadSegm), INTENT(in):: self
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REAL(8), INTENT(in):: Xi(1:3)
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@ -408,9 +315,79 @@ MODULE moduleMesh1DRad
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array = self%gatherF(Xi, 2, B)
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END FUNCTION gatherMFRad
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END FUNCTION gatherMFSegm
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PURE FUNCTION insideRad(Xi) RESULT(ins)
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!Computes element local stiffness matrix
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PURE FUNCTION elemKSegm(self, nNodes) RESULT(localK)
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USE moduleConstParam, ONLY: PI2
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IMPLICIT NONE
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CLASS(meshCell1DRadSegm), INTENT(in):: self
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INTEGER, INTENT(in):: nNodes
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REAL(8):: localK(1:nNodes,1:nNodes)
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REAL(8):: Xi(1:3)
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REAL(8):: dPsi(1:3, 1:2)
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REAL(8):: pDer(1:3, 1:3)
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REAL(8):: r
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REAL(8):: invJ(1:3,1:3), detJ
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INTEGER:: l
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localK = 0.D0
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Xi = 0.D0
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!Start 1D Gauss Quad Integral
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DO l = 1, 3
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Xi(1) = corSeg(l)
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dPsi = self%dPsi(Xi, 2)
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pDer = self%partialDer(2, dPsi)
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detJ = self%detJac(pDer)
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invJ = self%invJac(pDer)
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r = self%gatherF(Xi, 4, self%r)
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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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r*wSeg(l)/detJ
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END DO
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localK = localK*PI2
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END FUNCTION elemKSegm
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!Computes the local source vector for a force f
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PURE FUNCTION elemFSegm(self, nNodes, source) RESULT(localF)
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USE moduleConstParam, ONLY: PI2
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IMPLICIT NONE
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CLASS(meshCell1DRadSegm), INTENT(in):: self
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INTEGER, INTENT(in):: nNodes
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REAL(8), INTENT(in):: source(1:nNodes)
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REAL(8):: localF(1:nNodes)
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REAL(8):: fPsi(1:2)
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REAL(8):: dPsi(1:3, 1:2), pDer(1:3, 1:3)
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REAL(8):: Xi(1:3)
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REAL(8):: detJ, f
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REAL(8):: r
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INTEGER:: l
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localF = 0.D0
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Xi = 0.D0
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!Start 1D Gauss Quad Integral
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DO l = 1, 3
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Xi(1) = corSeg(l)
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dPsi = self%dPsi(Xi, 2)
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pDer = self%partialDer(2, dPsi)
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detJ = self%detJac(pDer)
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fPsi = self%fPsi(Xi, 2)
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r = DOT_PRODUCT(fPsi, self%r)
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f = DOT_PRODUCT(fPsi, source)
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localF = localF + r*f*fPsi*wSeg(l)*detJ
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END DO
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localF = localF*PI2
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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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@ -419,102 +396,97 @@ MODULE moduleMesh1DRad
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ins = Xi(1) >=-1.D0 .AND. &
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Xi(1) <= 1.D0
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END FUNCTION insideRad
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END FUNCTION insideSegm
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!Get nodes from 1D volume
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PURE FUNCTION getNodesRad(self, nNodes) RESULT(n)
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IMPLICIT NONE
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CLASS(meshCell1DRadSegm), INTENT(in):: self
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INTEGER, INTENT(in):: nNodes
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INTEGER:: n(1:nNodes)
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n = (/ self%n1%n, self%n2%n /)
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END FUNCTION getNodesRad
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PURE FUNCTION phy2logRad(self, r) RESULT(xN)
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PURE FUNCTION phy2logSegm(self, r) RESULT(Xi)
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IMPLICIT NONE
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CLASS(meshCell1DRadSegm), 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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REAL(8):: Xi(1:3)
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xN = 0.D0
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xN(1) = 2.D0*(r(1) - self%r(1))/(self%r(2) - self%r(1)) - 1.D0
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Xi = 0.D0
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END FUNCTION phy2logRad
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Xi(1) = 2.D0*(r(1) - self%r(1))/(self%r(2) - self%r(1)) - 1.D0
|
||||
|
||||
!Get next element for a logical position Xi
|
||||
SUBROUTINE nextElementRad(self, Xi, nextElement)
|
||||
END FUNCTION phy2logSegm
|
||||
|
||||
!Get the next element for a logical position Xi
|
||||
SUBROUTINE neighbourElementSegm(self, Xi, neighbourElement)
|
||||
IMPLICIT NONE
|
||||
|
||||
CLASS(meshCell1DRadSegm), INTENT(in):: self
|
||||
REAL(8), INTENT(in):: Xi(1:3)
|
||||
CLASS(meshElement), POINTER, INTENT(out):: nextElement
|
||||
CLASS(meshElement), POINTER, INTENT(out):: neighbourElement
|
||||
|
||||
NULLIFY(nextElement)
|
||||
NULLIFY(neighbourElement)
|
||||
IF (Xi(1) < -1.D0) THEN
|
||||
nextElement => self%e2
|
||||
neighbourElement => self%e2
|
||||
|
||||
ELSEIF (Xi(1) > 1.D0) THEN
|
||||
nextElement => self%e1
|
||||
neighbourElement => self%e1
|
||||
|
||||
END IF
|
||||
|
||||
END SUBROUTINE nextElementRad
|
||||
END SUBROUTINE neighbourElementSegm
|
||||
|
||||
!COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
|
||||
!Computes the element Jacobian determinant
|
||||
PURE FUNCTION detJ1DRad(self, Xi, nNodes, dPsi_in) RESULT(dJ)
|
||||
!Computes element area
|
||||
PURE SUBROUTINE areaSegm(self)
|
||||
USE moduleConstParam, ONLY: PI
|
||||
IMPLICIT NONE
|
||||
|
||||
CLASS(meshCell1DRad), INTENT(in):: self
|
||||
REAL(8), INTENT(in):: Xi(1:3)
|
||||
INTEGER, INTENT(in):: nNodes
|
||||
REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
|
||||
REAL(8):: dPsi(1:3,1:nNodes)
|
||||
CLASS(meshCell1DRadSegm), INTENT(inout):: self
|
||||
REAL(8):: Xi(1:3)
|
||||
REAL(8):: dPsi(1:3, 1:2), pDer(1:3, 1:3)
|
||||
REAL(8):: detJ
|
||||
REAL(8):: fPsi(1:2)
|
||||
REAL(8):: r
|
||||
|
||||
self%volume = 0.D0
|
||||
self%arNodes = 0.D0
|
||||
!1D 1 point Gauss Quad Integral
|
||||
Xi = 0.D0
|
||||
dPsi = self%dPsi(Xi, 2)
|
||||
pDer = self%partialDer(2, dPsi)
|
||||
detJ = self%detJac(pDer)
|
||||
fPsi = self%fPsi(Xi, 2)
|
||||
!Computes total volume of the cell
|
||||
r = DOT_PRODUCT(fPsi, self%r)
|
||||
self%volume = r*detJ*2.D0*PI !2PI
|
||||
!Computes volume per node
|
||||
Xi = (/-5.D-1, 0.D0, 0.D0/)
|
||||
r = self%gatherF(Xi, 2, self%r)
|
||||
self%arNodes(1) = fPsi(1)*self%volume
|
||||
Xi = (/ 5.D-1, 0.D0, 0.D0/)
|
||||
r = self%gatherF(Xi, 2, self%r)
|
||||
self%arNodes(2) = fPsi(2)*self%volume
|
||||
|
||||
END SUBROUTINE areaSegm
|
||||
|
||||
!COMMON FUNCTIONS FOR 1D VOLUME ELEMENTS
|
||||
!Computes element Jacobian determinant
|
||||
PURE FUNCTION detJ1DRad(pDer) RESULT(dJ)
|
||||
IMPLICIT NONE
|
||||
|
||||
REAL(8), INTENT(in):: pDer(1:3, 1:3)
|
||||
REAL(8):: dJ
|
||||
REAL(8):: dx(1)
|
||||
|
||||
IF (PRESENT(dPsi_in)) THEN
|
||||
dPsi = dPsi_in
|
||||
|
||||
ELSE
|
||||
dPsi = self%dPsi(Xi, 2)
|
||||
|
||||
END IF
|
||||
|
||||
CALL self%partialDer(nNodes, dPsi, dx)
|
||||
dJ = dx(1)
|
||||
dJ = pDer(1, 1)
|
||||
|
||||
END FUNCTION detJ1DRad
|
||||
|
||||
!Computes the invers Jacobian
|
||||
PURE FUNCTION invJ1DRad(self, Xi, nNodes, dPsi_in) RESULT(invJ)
|
||||
!Computes element Jacobian inverse matrix (without determinant)
|
||||
PURE FUNCTION invJ1DRad(pDer) RESULT(invJ)
|
||||
IMPLICIT NONE
|
||||
|
||||
CLASS(meshCell1DRad), INTENT(in):: self
|
||||
REAL(8), INTENT(in):: Xi(1:3)
|
||||
INTEGER, INTENT(in):: nNodes
|
||||
REAL(8), INTENT(in), OPTIONAL:: dPsi_in(1:3,1:nNodes)
|
||||
REAL(8):: dPsi(1:3,1:nNodes)
|
||||
REAL(8):: dx(1)
|
||||
REAL(8), INTENT(in):: pDer(1:3, 1:3)
|
||||
REAL(8):: invJ(1:3,1:3)
|
||||
|
||||
IF (PRESENT(dPsi_in)) THEN
|
||||
dPsi = dPsi_in
|
||||
|
||||
ELSE
|
||||
dPsi = self%dPsi(Xi, 2)
|
||||
|
||||
END IF
|
||||
|
||||
invJ = 0.D0
|
||||
|
||||
CALL self%partialDer(nNodes, dPsi, dx)
|
||||
|
||||
invJ(1,1) = 1.D0/dx(1)
|
||||
invJ(1, 1) = 1.D0/pDer(1, 1)
|
||||
invJ(2, 2) = 1.D0
|
||||
invJ(3, 3) = 1.D0
|
||||
|
||||
END FUNCTION invJ1DRad
|
||||
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue