DAMASK_EICMD/src/element.f90

940 lines
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!--------------------------------------------------------------------------------------------------
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
!> @author Christoph Koords, Max-Planck-Institut für Eisenforschung GmbH
!--------------------------------------------------------------------------------------------------
module element
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use IO
implicit none
private
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!---------------------------------------------------------------------------------------------------
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!> Properties of a single element
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!---------------------------------------------------------------------------------------------------
type, public :: tElement
integer :: &
elemType, &
geomType, & !< geometry type (same for same dimension and same number of integration points)
cellType, &
Nnodes, &
Ncellnodes, &
NcellnodesPerCell, &
nIPs, &
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nIPneighbors
character(len=:), allocatable :: &
vtkType
integer, dimension(:,:), allocatable :: &
Cell, & !< intra-element (cell) nodes that constitute a cell
IPneighbor, &
cellFace
integer, dimension(:,:), allocatable :: &
! center of gravity of the weighted nodes gives the position of the cell node.
! example: face-centered cell node with face nodes 1,2,5,6 to be used in,
! e.g., an 8 node element, would be encoded: 1, 1, 0, 0, 1, 1, 0, 0
cellNodeParentNodeWeights
contains
procedure :: init => tElement_init
end type tElement
integer, parameter :: &
NELEMTYPE = 13
integer, dimension(NELEMTYPE), parameter :: NNODE = &
[ &
3, & ! 2D, 1 IP
6, & ! 2D, 3 IP
4, & ! 2D, 4 IP
8, & ! 2D, 9 IP
8, & ! 2D, 4 IP
!----------------------
4, & ! 3D, 1 IP
5, & ! 3D, 4 IP
10, & ! 3D, 4 IP
6, & ! 3D, 6 IP
8, & ! 3D, 1 IP
8, & ! 3D, 8 IP
20, & ! 3D, 8 IP
20 & ! 3D, 27 IP
] !< number of nodes that constitute a specific type of element
integer, dimension(NELEMTYPE), parameter :: GEOMTYPE = &
[ &
1, & ! 1 triangle
2, & ! 3 quadrilaterals
3, & ! 4 quadrilaterals
4, & ! 9 quadrilaterals
3, & ! 4 quadrilaterals
!----------------------
5, & ! 1 tetrahedron
6, & ! 4 hexahedrons
6, & ! 4 hexahedrons
7, & ! 6 hexahedrons
8, & ! 1 hexahedron
9, & ! 8 hexahedrons
9, & ! 8 hexahedrons
10 & ! 27 hexahedrons
] !< geometry type (same number of cell nodes and IPs)
integer, dimension(maxval(GEOMTYPE)), parameter :: NCELLNODE = &
[ &
3, &
7, &
9, &
16, &
4, &
15, &
21, &
8, &
27, &
64 &
] !< number of cell nodes
integer, dimension(maxval(GEOMTYPE)), parameter :: NIP = &
[ &
1, &
3, &
4, &
9, &
1, &
4, &
6, &
1, &
8, &
27 &
] !< number of IPs
integer, dimension(maxval(GEOMTYPE)), parameter :: CELLTYPE = &
[ &
1, & ! 2D, 3 node (Triangle)
2, & ! 2D, 4 node (Quadrilateral)
2, & ! - " -
2, & ! - " -
3, & ! 3D, 4 node (Tetrahedron)
4, & ! 3D, 4 node (Hexahedron)
4, & ! - " -
4, & ! - " -
4, & ! - " -
4 & ! - " -
] !< cell type
integer, dimension(maxval(CELLTYPE)), parameter :: NIPNEIGHBOR = &
[ &
3, &
4, &
4, &
6 &
] !< number of ip neighbors / cell faces
integer, dimension(maxval(CELLTYPE)), parameter :: NCELLNODEPERCELLFACE = &
[ &
2, &
2, &
3, &
4 &
] !< number of cell nodes per face
integer, dimension(maxval(CELLTYPE)), parameter :: NCELLNODEPERCELL = &
[ &
3, &
4, &
4, &
8 &
] !< number of total cell nodes
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! *** IPneighbor ***
! list of the neighborhood of each IP.
! It is sorted in (local) +x,-x, +y,-y, +z,-z direction.
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! Positive integers denote an intra-element IP identifier.
! Negative integers denote the interface behind which the neighboring (extra-element) IP will be located.
integer, dimension(NIPNEIGHBOR(CELLTYPE(1)),NIP(1)), parameter :: IPNEIGHBOR1 = &
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reshape([&
-2,-3,-1 &
! Note: This fix is for gfortran 9 only. gfortran 8 supports neither, gfortran > 9 both variants
#if !defined(__GFORTRAN__)
],shape(IPNEIGHBOR1))
#else
],[NIPNEIGHBOR(CELLTYPE(1)),NIP(1)])
#endif
integer, dimension(NIPNEIGHBOR(CELLTYPE(2)),NIP(2)), parameter :: IPNEIGHBOR2 = &
reshape([&
2,-3, 3,-1, &
-2, 1, 3,-1, &
2,-3,-2, 1 &
#if !defined(__GFORTRAN__)
],shape(IPNEIGHBOR2))
#else
],[NIPNEIGHBOR(CELLTYPE(2)),NIP(2)])
#endif
integer, dimension(NIPNEIGHBOR(CELLTYPE(3)),NIP(3)), parameter :: IPNEIGHBOR3 = &
reshape([&
2,-4, 3,-1, &
-2, 1, 4,-1, &
4,-4,-3, 1, &
-2, 3,-3, 2 &
#if !defined(__GFORTRAN__)
],shape(IPNEIGHBOR3))
#else
],[NIPNEIGHBOR(CELLTYPE(3)),NIP(3)])
#endif
integer, dimension(NIPNEIGHBOR(CELLTYPE(4)),NIP(4)), parameter :: IPNEIGHBOR4 = &
reshape([&
2,-4, 4,-1, &
3, 1, 5,-1, &
-2, 2, 6,-1, &
5,-4, 7, 1, &
6, 4, 8, 2, &
-2, 5, 9, 3, &
8,-4,-3, 4, &
9, 7,-3, 5, &
-2, 8,-3, 6 &
#if !defined(__GFORTRAN__)
],shape(IPNEIGHBOR4))
#else
],[NIPNEIGHBOR(CELLTYPE(4)),NIP(4)])
#endif
integer, dimension(NIPNEIGHBOR(CELLTYPE(5)),NIP(5)), parameter :: IPNEIGHBOR5 = &
reshape([&
-1,-2,-3,-4 &
#if !defined(__GFORTRAN__)
],shape(IPNEIGHBOR5))
#else
],[NIPNEIGHBOR(CELLTYPE(5)),NIP(5)])
#endif
integer, dimension(NIPNEIGHBOR(CELLTYPE(6)),NIP(6)), parameter :: IPNEIGHBOR6 = &
reshape([&
2,-4, 3,-2, 4,-1, &
-2, 1, 3,-2, 4,-1, &
2,-4,-3, 1, 4,-1, &
2,-4, 3,-2,-3, 1 &
#if !defined(__GFORTRAN__)
],shape(IPNEIGHBOR6))
#else
],[NIPNEIGHBOR(CELLTYPE(6)),NIP(6)])
#endif
integer, dimension(NIPNEIGHBOR(CELLTYPE(7)),NIP(7)), parameter :: IPNEIGHBOR7 = &
reshape([&
2,-4, 3,-2, 4,-1, &
-3, 1, 3,-2, 5,-1, &
2,-4,-3, 1, 6,-1, &
5,-4, 6,-2,-5, 1, &
-3, 4, 6,-2,-5, 2, &
5,-4,-3, 4,-5, 3 &
#if !defined(__GFORTRAN__)
],shape(IPNEIGHBOR7))
#else
],[NIPNEIGHBOR(CELLTYPE(7)),NIP(7)])
#endif
integer, dimension(NIPNEIGHBOR(CELLTYPE(8)),NIP(8)), parameter :: IPNEIGHBOR8 = &
reshape([&
-3,-5,-4,-2,-6,-1 &
#if !defined(__GFORTRAN__)
],shape(IPNEIGHBOR8))
#else
],[NIPNEIGHBOR(CELLTYPE(8)),NIP(8)])
#endif
integer, dimension(NIPNEIGHBOR(CELLTYPE(9)),NIP(9)), parameter :: IPNEIGHBOR9 = &
reshape([&
2,-5, 3,-2, 5,-1, &
-3, 1, 4,-2, 6,-1, &
4,-5,-4, 1, 7,-1, &
-3, 3,-4, 2, 8,-1, &
6,-5, 7,-2,-6, 1, &
-3, 5, 8,-2,-6, 2, &
8,-5,-4, 5,-6, 3, &
-3, 7,-4, 6,-6, 4 &
#if !defined(__GFORTRAN__)
],shape(IPNEIGHBOR9))
#else
],[NIPNEIGHBOR(CELLTYPE(9)),NIP(9)])
#endif
integer, dimension(NIPNEIGHBOR(CELLTYPE(10)),NIP(10)), parameter :: IPNEIGHBOR10 = &
reshape([&
2,-5, 4,-2,10,-1, &
3, 1, 5,-2,11,-1, &
-3, 2, 6,-2,12,-1, &
5,-5, 7, 1,13,-1, &
6, 4, 8, 2,14,-1, &
-3, 5, 9, 3,15,-1, &
8,-5,-4, 4,16,-1, &
9, 7,-4, 5,17,-1, &
-3, 8,-4, 6,18,-1, &
11,-5,13,-2,19, 1, &
12,10,14,-2,20, 2, &
-3,11,15,-2,21, 3, &
14,-5,16,10,22, 4, &
15,13,17,11,23, 5, &
-3,14,18,12,24, 6, &
17,-5,-4,13,25, 7, &
18,16,-4,14,26, 8, &
-3,17,-4,15,27, 9, &
20,-5,22,-2,-6,10, &
21,19,23,-2,-6,11, &
-3,20,24,-2,-6,12, &
23,-5,25,19,-6,13, &
24,22,26,20,-6,14, &
-3,23,27,21,-6,15, &
26,-5,-4,22,-6,16, &
27,25,-4,23,-6,17, &
-3,26,-4,24,-6,18 &
#if !defined(__GFORTRAN__)
],shape(IPNEIGHBOR10))
#else
],[NIPNEIGHBOR(CELLTYPE(10)),NIP(10)])
#endif
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integer, dimension(NNODE(1),NCELLNODE(GEOMTYPE(1))), parameter :: CELLNODEPARENTNODEWEIGHTS1 = &
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reshape([&
1, 0, 0, &
0, 1, 0, &
0, 0, 1 &
#if !defined(__GFORTRAN__)
],shape(CELLNODEPARENTNODEWEIGHTS1)) !< 2D 3node 1ip
#else
],[NNODE(1),NCELLNODE(GEOMTYPE(1))])
#endif
integer, dimension(NNODE(2),NCELLNODE(GEOMTYPE(2))), parameter :: CELLNODEPARENTNODEWEIGHTS2 = &
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reshape([&
1, 0, 0, 0, 0, 0, &
0, 1, 0, 0, 0, 0, &
0, 0, 1, 0, 0, 0, &
0, 0, 0, 1, 0, 0, &
0, 0, 0, 0, 1, 0, &
0, 0, 0, 0, 0, 1, &
1, 1, 1, 2, 2, 2 &
#if !defined(__GFORTRAN__)
],shape(CELLNODEPARENTNODEWEIGHTS2)) !< 2D 6node 3ip
#else
],[NNODE(2),NCELLNODE(GEOMTYPE(2))])
#endif
integer, dimension(NNODE(3),NCELLNODE(GEOMTYPE(3))), parameter :: CELLNODEPARENTNODEWEIGHTS3 = &
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reshape([&
1, 0, 0, 0, &
0, 1, 0, 0, &
0, 0, 1, 0, &
0, 0, 0, 1, &
1, 1, 0, 0, &
0, 1, 1, 0, &
0, 0, 1, 1, &
1, 0, 0, 1, &
1, 1, 1, 1 &
#if !defined(__GFORTRAN__)
],shape(CELLNODEPARENTNODEWEIGHTS3)) !< 2D 6node 3ip
#else
],[NNODE(3),NCELLNODE(GEOMTYPE(3))])
#endif
integer, dimension(NNODE(4),NCELLNODE(GEOMTYPE(4))), parameter :: CELLNODEPARENTNODEWEIGHTS4 = &
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reshape([&
1, 0, 0, 0, 0, 0, 0, 0, &
0, 1, 0, 0, 0, 0, 0, 0, &
0, 0, 1, 0, 0, 0, 0, 0, &
0, 0, 0, 1, 0, 0, 0, 0, &
1, 0, 0, 0, 2, 0, 0, 0, &
0, 1, 0, 0, 2, 0, 0, 0, &
0, 1, 0, 0, 0, 2, 0, 0, &
0, 0, 1, 0, 0, 2, 0, 0, &
0, 0, 1, 0, 0, 0, 2, 0, &
0, 0, 0, 1, 0, 0, 2, 0, &
0, 0, 0, 1, 0, 0, 0, 2, &
1, 0, 0, 0, 0, 0, 0, 2, &
4, 1, 1, 1, 8, 2, 2, 8, &
1, 4, 1, 1, 8, 8, 2, 2, &
1, 1, 4, 1, 2, 8, 8, 2, &
1, 1, 1, 4, 2, 2, 8, 8 &
#if !defined(__GFORTRAN__)
],shape(CELLNODEPARENTNODEWEIGHTS4)) !< 2D 8node 9ip
#else
],[NNODE(4),NCELLNODE(GEOMTYPE(4))])
#endif
integer, dimension(NNODE(5),NCELLNODE(GEOMTYPE(5))), parameter :: CELLNODEPARENTNODEWEIGHTS5 = &
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reshape([&
1, 0, 0, 0, 0, 0, 0, 0, &
0, 1, 0, 0, 0, 0, 0, 0, &
0, 0, 1, 0, 0, 0, 0, 0, &
0, 0, 0, 1, 0, 0, 0, 0, &
0, 0, 0, 0, 1, 0, 0, 0, &
0, 0, 0, 0, 0, 1, 0, 0, &
0, 0, 0, 0, 0, 0, 1, 0, &
0, 0, 0, 0, 0, 0, 0, 1, &
1, 1, 1, 1, 2, 2, 2, 2 &
#if !defined(__GFORTRAN__)
],shape(CELLNODEPARENTNODEWEIGHTS5)) !< 2D 8node 4ip
#else
],[NNODE(5),NCELLNODE(GEOMTYPE(5))])
#endif
integer, dimension(NNODE(6),NcellNode(GEOMTYPE(6))), parameter :: CELLNODEPARENTNODEWEIGHTS6 = &
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reshape([&
1, 0, 0, 0, &
0, 1, 0, 0, &
0, 0, 1, 0, &
0, 0, 0, 1 &
#if !defined(__GFORTRAN__)
],shape(CELLNODEPARENTNODEWEIGHTS6)) !< 3D 4node 1ip
#else
],[NNODE(6),NcellNode(GEOMTYPE(6))])
#endif
integer, dimension(NNODE(7),NCELLNODE(GEOMTYPE(7))), parameter :: CELLNODEPARENTNODEWEIGHTS7 = &
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reshape([&
1, 0, 0, 0, 0, &
0, 1, 0, 0, 0, &
0, 0, 1, 0, 0, &
0, 0, 0, 1, 0, &
1, 1, 0, 0, 0, &
0, 1, 1, 0, 0, &
1, 0, 1, 0, 0, &
1, 0, 0, 1, 0, &
0, 1, 0, 1, 0, &
0, 0, 1, 1, 0, &
1, 1, 1, 0, 0, &
1, 1, 0, 1, 0, &
0, 1, 1, 1, 0, &
1, 0, 1, 1, 0, &
0, 0, 0, 0, 1 &
#if !defined(__GFORTRAN__)
],shape(CELLNODEPARENTNODEWEIGHTS7)) !< 3D 5node 4ip
#else
],[NNODE(7),NCELLNODE(GEOMTYPE(7))])
#endif
integer, dimension(NNODE(8),NCELLNODE(GEOMTYPE(8))), parameter :: CELLNODEPARENTNODEWEIGHTS8 = &
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reshape([&
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, &
1, 1, 1, 0, 2, 2, 2, 0, 0, 0, &
1, 1, 0, 1, 2, 0, 0, 2, 2, 0, &
0, 1, 1, 1, 0, 2, 0, 0, 2, 2, &
1, 0, 1, 1, 0, 0, 2, 2, 0, 2, &
3, 3, 3, 3, 4, 4, 4, 4, 4, 4 &
#if !defined(__GFORTRAN__)
],shape(CELLNODEPARENTNODEWEIGHTS8)) !< 3D 10node 4ip
#else
],[NNODE(8),NCELLNODE(GEOMTYPE(8))])
#endif
integer, dimension(NNODE(9),NCELLNODE(GEOMTYPE(9))), parameter :: CELLNODEPARENTNODEWEIGHTS9 = &
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reshape([&
1, 0, 0, 0, 0, 0, &
0, 1, 0, 0, 0, 0, &
0, 0, 1, 0, 0, 0, &
0, 0, 0, 1, 0, 0, &
0, 0, 0, 0, 1, 0, &
0, 0, 0, 0, 0, 1, &
1, 1, 0, 0, 0, 0, &
0, 1, 1, 0, 0, 0, &
1, 0, 1, 0, 0, 0, &
1, 0, 0, 1, 0, 0, &
0, 1, 0, 0, 1, 0, &
0, 0, 1, 0, 0, 1, &
0, 0, 0, 1, 1, 0, &
0, 0, 0, 0, 1, 1, &
0, 0, 0, 1, 0, 1, &
1, 1, 1, 0, 0, 0, &
1, 1, 0, 1, 1, 0, &
0, 1, 1, 0, 1, 1, &
1, 0, 1, 1, 0, 1, &
0, 0, 0, 1, 1, 1, &
1, 1, 1, 1, 1, 1 &
#if !defined(__GFORTRAN__)
],shape(CELLNODEPARENTNODEWEIGHTS9)) !< 3D 6node 6ip
#else
],[NNODE(9),NCELLNODE(GEOMTYPE(9))])
#endif
integer, dimension(NNODE(10),NCELLNODE(GEOMTYPE(10))), parameter :: CELLNODEPARENTNODEWEIGHTS10 = &
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reshape([&
1, 0, 0, 0, 0, 0, 0, 0, &
0, 1, 0, 0, 0, 0, 0, 0, &
0, 0, 1, 0, 0, 0, 0, 0, &
0, 0, 0, 1, 0, 0, 0, 0, &
0, 0, 0, 0, 1, 0, 0, 0, &
0, 0, 0, 0, 0, 1, 0, 0, &
0, 0, 0, 0, 0, 0, 1, 0, &
0, 0, 0, 0, 0, 0, 0, 1 &
#if !defined(__GFORTRAN__)
],shape(CELLNODEPARENTNODEWEIGHTS10)) !< 3D 8node 1ip
#else
],[NNODE(10),NCELLNODE(GEOMTYPE(10))])
#endif
integer, dimension(NNODE(11),NCELLNODE(GEOMTYPE(11))), parameter :: CELLNODEPARENTNODEWEIGHTS11 = &
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reshape([&
1, 0, 0, 0, 0, 0, 0, 0, & !
0, 1, 0, 0, 0, 0, 0, 0, & !
0, 0, 1, 0, 0, 0, 0, 0, & !
0, 0, 0, 1, 0, 0, 0, 0, & !
0, 0, 0, 0, 1, 0, 0, 0, & ! 5
0, 0, 0, 0, 0, 1, 0, 0, & !
0, 0, 0, 0, 0, 0, 1, 0, & !
0, 0, 0, 0, 0, 0, 0, 1, & !
1, 1, 0, 0, 0, 0, 0, 0, & !
0, 1, 1, 0, 0, 0, 0, 0, & ! 10
0, 0, 1, 1, 0, 0, 0, 0, & !
1, 0, 0, 1, 0, 0, 0, 0, & !
0, 0, 0, 0, 1, 1, 0, 0, & !
0, 0, 0, 0, 0, 1, 1, 0, & !
0, 0, 0, 0, 0, 0, 1, 1, & ! 15
0, 0, 0, 0, 1, 0, 0, 1, & !
1, 0, 0, 0, 1, 0, 0, 0, & !
0, 1, 0, 0, 0, 1, 0, 0, & !
0, 0, 1, 0, 0, 0, 1, 0, & !
0, 0, 0, 1, 0, 0, 0, 1, & ! 20
1, 1, 1, 1, 0, 0, 0, 0, & !
1, 1, 0, 0, 1, 1, 0, 0, & !
0, 1, 1, 0, 0, 1, 1, 0, & !
0, 0, 1, 1, 0, 0, 1, 1, & !
1, 0, 0, 1, 1, 0, 0, 1, & ! 25
0, 0, 0, 0, 1, 1, 1, 1, & !
1, 1, 1, 1, 1, 1, 1, 1 & !
#if !defined(__GFORTRAN__)
],shape(CELLNODEPARENTNODEWEIGHTS11)) !< 3D 8node 8ip
#else
],[NNODE(11),NCELLNODE(GEOMTYPE(11))])
#endif
integer, dimension(NNODE(12),NCELLNODE(GEOMTYPE(12))), parameter :: CELLNODEPARENTNODEWEIGHTS12 = &
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reshape([&
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & ! 5
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & ! 10
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, & !
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, & ! 15
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, & !
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, & ! 20
1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, & !
1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, & !
0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, & !
0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, & !
1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, & ! 25
0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, & !
3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 & !
#if !defined(__GFORTRAN__)
],shape(CELLNODEPARENTNODEWEIGHTS12)) !< 3D 20node 8ip
#else
],[NNODE(12),NCELLNODE(GEOMTYPE(12))])
#endif
integer, dimension(NNODE(13),NCELLNODE(GEOMTYPE(13))), parameter :: CELLNODEPARENTNODEWEIGHTS13 = &
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reshape([&
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & ! 5
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & ! 10
0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, & ! 15
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, & !
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, & !
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, & !
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, & !
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, & ! 20
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, & !
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, & !
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, & !
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, & !
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, & ! 25
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, & !
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, & ! 30
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, & !
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, & !
4, 1, 1, 1, 0, 0, 0, 0, 8, 2, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, & !
1, 4, 1, 1, 0, 0, 0, 0, 8, 8, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, & !
1, 1, 4, 1, 0, 0, 0, 0, 2, 8, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, & ! 35
1, 1, 1, 4, 0, 0, 0, 0, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, & !
4, 1, 0, 0, 1, 1, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0, 8, 2, 0, 0, & !
1, 4, 0, 0, 1, 1, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0, 2, 8, 0, 0, & !
0, 4, 1, 0, 0, 1, 1, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0, 8, 2, 0, & !
0, 1, 4, 0, 0, 1, 1, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0, 2, 8, 0, & ! 40
0, 0, 4, 1, 0, 0, 1, 1, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0, 8, 2, & !
0, 0, 1, 4, 0, 0, 1, 1, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0, 2, 8, & !
1, 0, 0, 4, 1, 0, 0, 1, 0, 0, 0, 8, 0, 0, 0, 2, 2, 0, 0, 8, & !
4, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 8, 0, 0, 0, 2, 8, 0, 0, 2, & !
1, 1, 0, 0, 4, 1, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0, 8, 2, 0, 0, & ! 45
1, 1, 0, 0, 1, 4, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0, 2, 8, 0, 0, & !
0, 1, 1, 0, 0, 4, 1, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0, 8, 2, 0, & !
0, 1, 1, 0, 0, 1, 4, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0, 2, 8, 0, & !
0, 0, 1, 1, 0, 0, 4, 1, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0, 8, 2, & !
0, 0, 1, 1, 0, 0, 1, 4, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0, 2, 8, & ! 50
1, 0, 0, 1, 1, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 8, 2, 0, 0, 8, & !
1, 0, 0, 1, 4, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 8, 8, 0, 0, 2, & !
0, 0, 0, 0, 4, 1, 1, 1, 0, 0, 0, 0, 8, 2, 2, 8, 0, 0, 0, 0, & !
0, 0, 0, 0, 1, 4, 1, 1, 0, 0, 0, 0, 8, 8, 2, 2, 0, 0, 0, 0, & !
0, 0, 0, 0, 1, 1, 4, 1, 0, 0, 0, 0, 2, 8, 8, 2, 0, 0, 0, 0, & ! 55
0, 0, 0, 0, 1, 1, 1, 4, 0, 0, 0, 0, 2, 2, 8, 8, 0, 0, 0, 0, & !
24, 8, 4, 8, 8, 4, 3, 4, 32,12,12,32, 12, 4, 4,12, 32,12, 4,12, & !
8,24, 8, 4, 4, 8, 4, 3, 32,32,12,12, 12,12, 4, 4, 12,32,12, 4, & !
4, 8,24, 8, 3, 4, 8, 4, 12,32,32,12, 4,12,12, 4, 4,12,32,12, & !
8, 4, 8,24, 4, 3, 4, 8, 12,12,32,32, 4, 4,12,12, 12, 4,12,32, & ! 60
8, 4, 3, 4, 24, 8, 4, 8, 12, 4, 4,12, 32,12,12,32, 32,12, 4,12, & !
4, 8, 4, 3, 8,24, 8, 4, 12,12, 4, 4, 32,32,12,12, 12,32,12, 4, & !
3, 4, 8, 4, 4, 8,24, 8, 4,12,12, 4, 12,32,32,12, 4,12,32,12, & !
4, 3, 4, 8, 8, 4, 8,24, 4, 4,12,12, 12,12,32,32, 12, 4,12,32 & !
#if !defined(__GFORTRAN__)
],shape(CELLNODEPARENTNODEWEIGHTS13)) !< 3D 20node 27ip
#else
],[NNODE(13),NCELLNODE(GEOMTYPE(13))])
#endif
integer, dimension(NCELLNODEPERCELL(CELLTYPE(1)),NIP(1)), parameter :: CELL1 = &
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reshape([&
1,2,3 &
#if !defined(__GFORTRAN__)
],shape(CELL1))
#else
],[NCELLNODEPERCELL(CELLTYPE(1)),NIP(1)])
#endif
integer, dimension(NCELLNODEPERCELL(CELLTYPE(2)),NIP(2)), parameter :: CELL2 = &
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reshape([&
1, 4, 7, 6, &
2, 5, 7, 4, &
3, 6, 7, 5 &
#if !defined(__GFORTRAN__)
],shape(CELL2))
#else
],[NCELLNODEPERCELL(CELLTYPE(2)),NIP(2)])
#endif
integer, dimension(NCELLNODEPERCELL(CELLTYPE(3)),NIP(3)), parameter :: CELL3 = &
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reshape([&
1, 5, 9, 8, &
5, 2, 6, 9, &
8, 9, 7, 4, &
9, 6, 3, 7 &
#if !defined(__GFORTRAN__)
],shape(CELL3))
#else
],[NCELLNODEPERCELL(CELLTYPE(3)),NIP(3)])
#endif
integer, dimension(NCELLNODEPERCELL(CELLTYPE(4)),NIP(4)), parameter :: CELL4 = &
reshape([&
1, 5,13,12, &
5, 6,14,13, &
6, 2, 7,14, &
12,13,16,11, &
13,14,15,16, &
14, 7, 8,15, &
11,16,10, 4, &
16,15, 9,10, &
15, 8, 3, 9 &
#if !defined(__GFORTRAN__)
],shape(CELL4))
#else
],[NCELLNODEPERCELL(CELLTYPE(4)),NIP(4)])
#endif
integer, dimension(NCELLNODEPERCELL(CELLTYPE(5)),NIP(5)), parameter :: CELL5 = &
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reshape([&
1, 2, 3, 4 &
#if !defined(__GFORTRAN__)
],shape(CELL5))
#else
],[NCELLNODEPERCELL(CELLTYPE(5)),NIP(5)])
#endif
integer, dimension(NCELLNODEPERCELL(CELLTYPE(6)),NIP(6)), parameter :: CELL6 = &
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reshape([&
1, 5,11, 7, 8,12,15,14, &
5, 2, 6,11,12, 9,13,15, &
7,11, 6, 3,14,15,13,10, &
8,12,15,14, 4, 9,13,10 &
#if !defined(__GFORTRAN__)
],shape(CELL6))
#else
],[NCELLNODEPERCELL(CELLTYPE(6)),NIP(6)])
#endif
integer, dimension(NCELLNODEPERCELL(CELLTYPE(7)),NIP(7)), parameter :: CELL7 = &
reshape([&
1, 7,16, 9,10,17,21,19, &
7, 2, 8,16,17,11,18,21, &
9,16, 8, 3,19,21,18,12, &
10,17,21,19, 4,13,20,15, &
17,11,18,21,13, 5,14,20, &
19,21,18,12,15,20,14, 6 &
#if !defined(__GFORTRAN__)
],shape(CELL7))
#else
],[NCELLNODEPERCELL(CELLTYPE(7)),NIP(7)])
#endif
integer, dimension(NCELLNODEPERCELL(CELLTYPE(8)),NIP(8)), parameter :: CELL8 = &
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reshape([&
1, 2, 3, 4, 5, 6, 7, 8 &
#if !defined(__GFORTRAN__)
],shape(CELL8))
#else
],[NCELLNODEPERCELL(CELLTYPE(8)),NIP(8)])
#endif
integer, dimension(NCELLNODEPERCELL(CELLTYPE(9)),NIP(9)), parameter :: CELL9 = &
reshape([&
1, 9,21,12,17,22,27,25, &
9, 2,10,21,22,18,23,27, &
12,21,11, 4,25,27,24,20, &
21,10, 3,11,27,23,19,24, &
17,22,27,25, 5,13,26,16, &
22,18,23,27,13, 6,14,26, &
25,27,24,20,16,26,15, 8, &
27,23,19,24,26,14, 7,15 &
#if !defined(__GFORTRAN__)
],shape(CELL9))
#else
],[NCELLNODEPERCELL(CELLTYPE(9)),NIP(9)])
#endif
integer, dimension(NCELLNODEPERCELL(CELLTYPE(10)),NIP(10)), parameter :: CELL10 = &
reshape([&
1, 9,33,16,17,37,57,44, &
9,10,34,33,37,38,58,57, &
10, 2,11,34,38,18,39,58, &
16,33,36,15,44,57,60,43, &
33,34,35,36,57,58,59,60, &
34,11,12,35,58,39,40,59, &
15,36,14, 4,43,60,42,20, &
36,35,13,14,60,59,41,42, &
35,12, 3,13,59,40,19,41, &
17,37,57,44,21,45,61,52, &
37,38,58,57,45,46,62,61, &
38,18,39,58,46,22,47,62, &
44,57,60,43,52,61,64,51, &
57,58,59,60,61,62,63,64, &
58,39,40,59,62,47,48,63, &
43,60,42,20,51,64,50,24, &
60,59,41,42,64,63,49,50, &
59,40,19,41,63,48,23,49, &
21,45,61,52, 5,25,53,32, &
45,46,62,61,25,26,54,53, &
46,22,47,62,26, 6,27,54, &
52,61,64,51,32,53,56,31, &
61,62,63,64,53,54,55,56, &
62,47,48,63,54,27,28,55, &
51,64,50,24,31,56,30, 8, &
64,63,49,50,56,55,29,30, &
63,48,23,49,55,28, 7,29 &
#if !defined(__GFORTRAN__)
],shape(CELL10))
#else
],[NCELLNODEPERCELL(CELLTYPE(10)),NIP(10)])
#endif
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integer, dimension(NCELLNODEPERCELLFACE(1),NIPNEIGHBOR(1)), parameter :: CELLFACE1 = &
reshape([&
2,3, &
3,1, &
1,2 &
#if !defined(__GFORTRAN__)
],shape(CELLFACE1)) !< 2D 3node, VTK_TRIANGLE (5)
#else
],[NCELLNODEPERCELLFACE(1),NIPNEIGHBOR(1)])
#endif
integer, dimension(NCELLNODEPERCELLFACE(2),NIPNEIGHBOR(2)), parameter :: CELLFACE2 = &
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reshape([&
2,3, &
4,1, &
3,4, &
1,2 &
#if !defined(__GFORTRAN__)
],shape(CELLFACE2)) !< 2D 4node, VTK_QUAD (9)
#else
],[NCELLNODEPERCELLFACE(2),NIPNEIGHBOR(2)])
#endif
integer, dimension(NCELLNODEPERCELLFACE(3),NIPNEIGHBOR(3)), parameter :: CELLFACE3 = &
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reshape([&
1,3,2, &
1,2,4, &
2,3,4, &
1,4,3 &
#if !defined(__GFORTRAN__)
],shape(CELLFACE3)) !< 3D 4node, VTK_TETRA (10)
#else
],[NCELLNODEPERCELLFACE(3),NIPNEIGHBOR(3)])
#endif
integer, dimension(NCELLNODEPERCELLFACE(4),NIPNEIGHBOR(4)), parameter :: CELLFACE4 = &
reshape([&
2,3,7,6, &
4,1,5,8, &
3,4,8,7, &
1,2,6,5, &
5,6,7,8, &
1,4,3,2 &
#if !defined(__GFORTRAN__)
],shape(CELLFACE4)) !< 3D 8node, VTK_HEXAHEDRON (12)
#else
],[NCELLNODEPERCELLFACE(4),NIPNEIGHBOR(4)])
#endif
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contains
!---------------------------------------------------------------------------------------------------
!> define properties of an element
!---------------------------------------------------------------------------------------------------
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subroutine tElement_init(self,elemType)
class(tElement) :: self
integer, intent(in) :: elemType
self%elemType = elemType
self%Nnodes = NNODE (self%elemType)
self%geomType = GEOMTYPE(self%elemType)
select case (self%elemType)
case(1)
self%cellNodeParentNodeWeights = CELLNODEPARENTNODEWEIGHTS1
case(2)
self%cellNodeParentNodeWeights = CELLNODEPARENTNODEWEIGHTS2
case(3)
self%cellNodeParentNodeWeights = CELLNODEPARENTNODEWEIGHTS3
case(4)
self%cellNodeParentNodeWeights = CELLNODEPARENTNODEWEIGHTS4
case(5)
self%cellNodeParentNodeWeights = CELLNODEPARENTNODEWEIGHTS5
case(6)
self%cellNodeParentNodeWeights = CELLNODEPARENTNODEWEIGHTS6
case(7)
self%cellNodeParentNodeWeights = CELLNODEPARENTNODEWEIGHTS7
case(8)
self%cellNodeParentNodeWeights = CELLNODEPARENTNODEWEIGHTS8
case(9)
self%cellNodeParentNodeWeights = CELLNODEPARENTNODEWEIGHTS9
case(10)
self%cellNodeParentNodeWeights = CELLNODEPARENTNODEWEIGHTS10
case(11)
self%cellNodeParentNodeWeights = CELLNODEPARENTNODEWEIGHTS11
case(12)
self%cellNodeParentNodeWeights = CELLNODEPARENTNODEWEIGHTS12
case(13)
self%cellNodeParentNodeWeights = CELLNODEPARENTNODEWEIGHTS13
case default
call IO_error(0,ext_msg='invalid element type')
end select
self%NcellNodes = NCELLNODE(self%geomType)
self%nIPs = NIP (self%geomType)
self%cellType = CELLTYPE (self%geomType)
select case (self%geomType)
case(1)
self%IPneighbor = IPNEIGHBOR1
self%cell = CELL1
case(2)
self%IPneighbor = IPNEIGHBOR2
self%cell = CELL2
case(3)
self%IPneighbor = IPNEIGHBOR3
self%cell = CELL3
case(4)
self%IPneighbor = IPNEIGHBOR4
self%cell = CELL4
case(5)
self%IPneighbor = IPNEIGHBOR5
self%cell = CELL5
case(6)
self%IPneighbor = IPNEIGHBOR6
self%cell = CELL6
case(7)
self%IPneighbor = IPNEIGHBOR7
self%cell = CELL7
case(8)
self%IPneighbor = IPNEIGHBOR8
self%cell = CELL8
case(9)
self%IPneighbor = IPNEIGHBOR9
self%cell = CELL9
case(10)
self%IPneighbor = IPNEIGHBOR10
self%cell = CELL10
end select
self%NcellnodesPerCell = NCELLNODEPERCELL(self%cellType)
select case(self%cellType)
case(1)
self%cellFace = CELLFACE1
self%vtkType = 'TRIANGLE'
case(2)
self%cellFace = CELLFACE2
self%vtkType = 'QUAD'
case(3)
self%cellFace = CELLFACE3
self%vtkType = 'TETRA'
case(4)
self%cellFace = CELLFACE4
self%vtkType = 'HEXAHEDRON'
end select
self%nIPneighbors = size(self%IPneighbor,1)
print'(/,1x,a)', '<<<+- element_init -+>>>'; flush(IO_STDOUT)
print*, 'element type: ',self%elemType
print*, ' geom type: ',self%geomType
print*, ' cell type: ',self%cellType
print*, ' # node: ',self%Nnodes
print*, ' # IP: ',self%nIPs
print*, ' # cellnode: ',self%Ncellnodes
print*, ' # cellnode/cell: ',self%NcellnodesPerCell
print*, ' # IP neighbor: ',self%nIPneighbors
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end subroutine tElement_init
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end module element