791 lines
28 KiB
Fortran
791 lines
28 KiB
Fortran
!--------------------------------------------------------------------------------------------------
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!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Christoph Koords, Max-Planck-Institut für Eisenforschung GmbH
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!--------------------------------------------------------------------------------------------------
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module element
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use IO
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implicit none(type,external)
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private
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!---------------------------------------------------------------------------------------------------
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!> Properties of a single element
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!---------------------------------------------------------------------------------------------------
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type, public :: tElement
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integer :: &
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elemType, &
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geomType, & !< geometry type (same for same dimension and same number of integration points)
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cellType, &
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Nnodes, &
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Ncellnodes, &
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NcellnodesPerCell, &
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nIPs, &
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nIPneighbors
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character(len=:), allocatable :: &
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vtkType
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integer, dimension(:,:), allocatable :: &
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Cell, & !< intra-element (cell) nodes that constitute a cell
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IPneighbor, &
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cellFace
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integer, dimension(:,:), allocatable :: &
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! center of gravity of the weighted nodes gives the position of the cell node.
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! example: face-centered cell node with face nodes 1,2,5,6 to be used in,
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! e.g., an 8 node element, would be encoded: 1, 1, 0, 0, 1, 1, 0, 0
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cellNodeParentNodeWeights
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contains
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procedure :: init => tElement_init
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end type tElement
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integer, parameter :: &
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NELEMTYPE = 13
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integer, dimension(NELEMTYPE), parameter :: NNODE = &
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[ &
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3, & ! 2D, 1 IP
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6, & ! 2D, 3 IP
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4, & ! 2D, 4 IP
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8, & ! 2D, 9 IP
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8, & ! 2D, 4 IP
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!----------------------
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4, & ! 3D, 1 IP
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5, & ! 3D, 4 IP
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10, & ! 3D, 4 IP
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6, & ! 3D, 6 IP
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8, & ! 3D, 1 IP
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8, & ! 3D, 8 IP
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20, & ! 3D, 8 IP
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20 & ! 3D, 27 IP
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] !< number of nodes that constitute a specific type of element
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integer, dimension(NELEMTYPE), parameter :: GEOMTYPE = &
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[ &
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1, & ! 1 triangle
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2, & ! 3 quadrilaterals
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3, & ! 4 quadrilaterals
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4, & ! 9 quadrilaterals
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3, & ! 4 quadrilaterals
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!----------------------
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5, & ! 1 tetrahedron
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6, & ! 4 hexahedrons
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6, & ! 4 hexahedrons
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7, & ! 6 hexahedrons
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8, & ! 1 hexahedron
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9, & ! 8 hexahedrons
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9, & ! 8 hexahedrons
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10 & ! 27 hexahedrons
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] !< geometry type (same number of cell nodes and IPs)
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integer, dimension(maxval(GEOMTYPE)), parameter :: NCELLNODE = &
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[ &
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3, &
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7, &
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9, &
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16, &
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4, &
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15, &
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21, &
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8, &
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27, &
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64 &
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] !< number of cell nodes
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integer, dimension(maxval(GEOMTYPE)), parameter :: NIP = &
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[ &
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1, &
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3, &
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4, &
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9, &
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1, &
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4, &
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6, &
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1, &
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8, &
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27 &
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] !< number of IPs
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integer, dimension(maxval(GEOMTYPE)), parameter :: CELLTYPE = &
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[ &
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1, & ! 2D, 3 node (Triangle)
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2, & ! 2D, 4 node (Quadrilateral)
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2, & ! - " -
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2, & ! - " -
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3, & ! 3D, 4 node (Tetrahedron)
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4, & ! 3D, 4 node (Hexahedron)
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4, & ! - " -
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4, & ! - " -
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4, & ! - " -
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4 & ! - " -
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] !< cell type
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integer, dimension(maxval(CELLTYPE)), parameter :: NIPNEIGHBOR = &
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[ &
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3, &
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4, &
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4, &
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6 &
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] !< number of ip neighbors / cell faces
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integer, dimension(maxval(CELLTYPE)), parameter :: NCELLNODEPERCELLFACE = &
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[ &
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2, &
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2, &
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3, &
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4 &
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] !< number of cell nodes per face
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integer, dimension(maxval(CELLTYPE)), parameter :: NCELLNODEPERCELL = &
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[ &
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3, &
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4, &
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4, &
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8 &
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] !< number of total cell nodes
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! *** IPneighbor ***
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! list of the neighborhood of each IP.
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! It is sorted in (local) +x,-x, +y,-y, +z,-z direction.
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! Positive integers denote an intra-element IP identifier.
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! Negative integers denote the interface behind which the neighboring (extra-element) IP will be located.
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integer, dimension(NIPNEIGHBOR(CELLTYPE(1)),NIP(1)), parameter :: IPNEIGHBOR1 = &
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reshape([&
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-2,-3,-1 &
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! Note: This fix is for gfortran 9 only. gfortran 8 supports neither, gfortran > 9 both variants
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],[NIPNEIGHBOR(CELLTYPE(1)),NIP(1)])
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integer, dimension(NIPNEIGHBOR(CELLTYPE(2)),NIP(2)), parameter :: IPNEIGHBOR2 = &
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reshape([&
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2,-3, 3,-1, &
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-2, 1, 3,-1, &
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2,-3,-2, 1 &
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],[NIPNEIGHBOR(CELLTYPE(2)),NIP(2)])
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integer, dimension(NIPNEIGHBOR(CELLTYPE(3)),NIP(3)), parameter :: IPNEIGHBOR3 = &
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reshape([&
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2,-4, 3,-1, &
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-2, 1, 4,-1, &
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4,-4,-3, 1, &
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-2, 3,-3, 2 &
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],[NIPNEIGHBOR(CELLTYPE(3)),NIP(3)])
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integer, dimension(NIPNEIGHBOR(CELLTYPE(4)),NIP(4)), parameter :: IPNEIGHBOR4 = &
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reshape([&
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2,-4, 4,-1, &
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3, 1, 5,-1, &
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-2, 2, 6,-1, &
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5,-4, 7, 1, &
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6, 4, 8, 2, &
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-2, 5, 9, 3, &
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8,-4,-3, 4, &
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9, 7,-3, 5, &
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-2, 8,-3, 6 &
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],[NIPNEIGHBOR(CELLTYPE(4)),NIP(4)])
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integer, dimension(NIPNEIGHBOR(CELLTYPE(5)),NIP(5)), parameter :: IPNEIGHBOR5 = &
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reshape([&
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-1,-2,-3,-4 &
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],[NIPNEIGHBOR(CELLTYPE(5)),NIP(5)])
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integer, dimension(NIPNEIGHBOR(CELLTYPE(6)),NIP(6)), parameter :: IPNEIGHBOR6 = &
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reshape([&
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2,-4, 3,-2, 4,-1, &
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-2, 1, 3,-2, 4,-1, &
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2,-4,-3, 1, 4,-1, &
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2,-4, 3,-2,-3, 1 &
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],[NIPNEIGHBOR(CELLTYPE(6)),NIP(6)])
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integer, dimension(NIPNEIGHBOR(CELLTYPE(7)),NIP(7)), parameter :: IPNEIGHBOR7 = &
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reshape([&
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2,-4, 3,-2, 4,-1, &
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-3, 1, 3,-2, 5,-1, &
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2,-4,-3, 1, 6,-1, &
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5,-4, 6,-2,-5, 1, &
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-3, 4, 6,-2,-5, 2, &
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5,-4,-3, 4,-5, 3 &
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],[NIPNEIGHBOR(CELLTYPE(7)),NIP(7)])
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integer, dimension(NIPNEIGHBOR(CELLTYPE(8)),NIP(8)), parameter :: IPNEIGHBOR8 = &
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reshape([&
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-3,-5,-4,-2,-6,-1 &
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],[NIPNEIGHBOR(CELLTYPE(8)),NIP(8)])
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integer, dimension(NIPNEIGHBOR(CELLTYPE(9)),NIP(9)), parameter :: IPNEIGHBOR9 = &
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reshape([&
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2,-5, 3,-2, 5,-1, &
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-3, 1, 4,-2, 6,-1, &
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4,-5,-4, 1, 7,-1, &
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-3, 3,-4, 2, 8,-1, &
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6,-5, 7,-2,-6, 1, &
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-3, 5, 8,-2,-6, 2, &
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8,-5,-4, 5,-6, 3, &
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-3, 7,-4, 6,-6, 4 &
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],[NIPNEIGHBOR(CELLTYPE(9)),NIP(9)])
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integer, dimension(NIPNEIGHBOR(CELLTYPE(10)),NIP(10)), parameter :: IPNEIGHBOR10 = &
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reshape([&
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2,-5, 4,-2,10,-1, &
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3, 1, 5,-2,11,-1, &
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-3, 2, 6,-2,12,-1, &
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5,-5, 7, 1,13,-1, &
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6, 4, 8, 2,14,-1, &
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-3, 5, 9, 3,15,-1, &
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8,-5,-4, 4,16,-1, &
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9, 7,-4, 5,17,-1, &
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-3, 8,-4, 6,18,-1, &
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11,-5,13,-2,19, 1, &
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12,10,14,-2,20, 2, &
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-3,11,15,-2,21, 3, &
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14,-5,16,10,22, 4, &
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15,13,17,11,23, 5, &
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-3,14,18,12,24, 6, &
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17,-5,-4,13,25, 7, &
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18,16,-4,14,26, 8, &
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-3,17,-4,15,27, 9, &
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20,-5,22,-2,-6,10, &
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21,19,23,-2,-6,11, &
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-3,20,24,-2,-6,12, &
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23,-5,25,19,-6,13, &
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24,22,26,20,-6,14, &
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-3,23,27,21,-6,15, &
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26,-5,-4,22,-6,16, &
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27,25,-4,23,-6,17, &
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-3,26,-4,24,-6,18 &
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],[NIPNEIGHBOR(CELLTYPE(10)),NIP(10)])
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integer, dimension(NNODE(1),NCELLNODE(GEOMTYPE(1))), parameter :: CELLNODEPARENTNODEWEIGHTS1 = &
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reshape([&
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1, 0, 0, &
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0, 1, 0, &
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0, 0, 1 &
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],[NNODE(1),NCELLNODE(GEOMTYPE(1))])
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integer, dimension(NNODE(2),NCELLNODE(GEOMTYPE(2))), parameter :: CELLNODEPARENTNODEWEIGHTS2 = &
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reshape([&
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1, 0, 0, 0, 0, 0, &
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0, 1, 0, 0, 0, 0, &
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0, 0, 1, 0, 0, 0, &
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0, 0, 0, 1, 0, 0, &
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0, 0, 0, 0, 1, 0, &
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0, 0, 0, 0, 0, 1, &
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1, 1, 1, 2, 2, 2 &
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],[NNODE(2),NCELLNODE(GEOMTYPE(2))])
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integer, dimension(NNODE(3),NCELLNODE(GEOMTYPE(3))), parameter :: CELLNODEPARENTNODEWEIGHTS3 = &
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reshape([&
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1, 0, 0, 0, &
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0, 1, 0, 0, &
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0, 0, 1, 0, &
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0, 0, 0, 1, &
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1, 1, 0, 0, &
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0, 1, 1, 0, &
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0, 0, 1, 1, &
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1, 0, 0, 1, &
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1, 1, 1, 1 &
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],[NNODE(3),NCELLNODE(GEOMTYPE(3))])
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integer, dimension(NNODE(4),NCELLNODE(GEOMTYPE(4))), parameter :: CELLNODEPARENTNODEWEIGHTS4 = &
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reshape([&
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1, 0, 0, 0, 0, 0, 0, 0, &
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0, 1, 0, 0, 0, 0, 0, 0, &
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0, 0, 1, 0, 0, 0, 0, 0, &
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0, 0, 0, 1, 0, 0, 0, 0, &
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1, 0, 0, 0, 2, 0, 0, 0, &
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0, 1, 0, 0, 2, 0, 0, 0, &
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0, 1, 0, 0, 0, 2, 0, 0, &
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0, 0, 1, 0, 0, 2, 0, 0, &
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0, 0, 1, 0, 0, 0, 2, 0, &
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0, 0, 0, 1, 0, 0, 2, 0, &
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0, 0, 0, 1, 0, 0, 0, 2, &
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1, 0, 0, 0, 0, 0, 0, 2, &
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4, 1, 1, 1, 8, 2, 2, 8, &
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1, 4, 1, 1, 8, 8, 2, 2, &
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1, 1, 4, 1, 2, 8, 8, 2, &
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1, 1, 1, 4, 2, 2, 8, 8 &
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],[NNODE(4),NCELLNODE(GEOMTYPE(4))])
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integer, dimension(NNODE(5),NCELLNODE(GEOMTYPE(5))), parameter :: CELLNODEPARENTNODEWEIGHTS5 = &
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reshape([&
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1, 0, 0, 0, 0, 0, 0, 0, &
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0, 1, 0, 0, 0, 0, 0, 0, &
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0, 0, 1, 0, 0, 0, 0, 0, &
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0, 0, 0, 1, 0, 0, 0, 0, &
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0, 0, 0, 0, 1, 0, 0, 0, &
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0, 0, 0, 0, 0, 1, 0, 0, &
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0, 0, 0, 0, 0, 0, 1, 0, &
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0, 0, 0, 0, 0, 0, 0, 1, &
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1, 1, 1, 1, 2, 2, 2, 2 &
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],[NNODE(5),NCELLNODE(GEOMTYPE(5))])
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integer, dimension(NNODE(6),NcellNode(GEOMTYPE(6))), parameter :: CELLNODEPARENTNODEWEIGHTS6 = &
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reshape([&
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1, 0, 0, 0, &
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0, 1, 0, 0, &
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0, 0, 1, 0, &
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0, 0, 0, 1 &
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],[NNODE(6),NcellNode(GEOMTYPE(6))])
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integer, dimension(NNODE(7),NCELLNODE(GEOMTYPE(7))), parameter :: CELLNODEPARENTNODEWEIGHTS7 = &
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reshape([&
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1, 0, 0, 0, 0, &
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0, 1, 0, 0, 0, &
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0, 0, 1, 0, 0, &
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0, 0, 0, 1, 0, &
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1, 1, 0, 0, 0, &
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0, 1, 1, 0, 0, &
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1, 0, 1, 0, 0, &
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1, 0, 0, 1, 0, &
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0, 1, 0, 1, 0, &
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0, 0, 1, 1, 0, &
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1, 1, 1, 0, 0, &
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1, 1, 0, 1, 0, &
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0, 1, 1, 1, 0, &
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1, 0, 1, 1, 0, &
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0, 0, 0, 0, 1 &
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],[NNODE(7),NCELLNODE(GEOMTYPE(7))])
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integer, dimension(NNODE(8),NCELLNODE(GEOMTYPE(8))), parameter :: CELLNODEPARENTNODEWEIGHTS8 = &
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reshape([&
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1, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
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0, 1, 0, 0, 0, 0, 0, 0, 0, 0, &
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0, 0, 1, 0, 0, 0, 0, 0, 0, 0, &
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0, 0, 0, 1, 0, 0, 0, 0, 0, 0, &
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0, 0, 0, 0, 1, 0, 0, 0, 0, 0, &
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0, 0, 0, 0, 0, 1, 0, 0, 0, 0, &
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0, 0, 0, 0, 0, 0, 1, 0, 0, 0, &
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0, 0, 0, 0, 0, 0, 0, 1, 0, 0, &
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0, 0, 0, 0, 0, 0, 0, 0, 1, 0, &
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0, 0, 0, 0, 0, 0, 0, 0, 0, 1, &
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1, 1, 1, 0, 2, 2, 2, 0, 0, 0, &
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1, 1, 0, 1, 2, 0, 0, 2, 2, 0, &
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0, 1, 1, 1, 0, 2, 0, 0, 2, 2, &
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1, 0, 1, 1, 0, 0, 2, 2, 0, 2, &
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3, 3, 3, 3, 4, 4, 4, 4, 4, 4 &
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],[NNODE(8),NCELLNODE(GEOMTYPE(8))])
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integer, dimension(NNODE(9),NCELLNODE(GEOMTYPE(9))), parameter :: CELLNODEPARENTNODEWEIGHTS9 = &
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reshape([&
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1, 0, 0, 0, 0, 0, &
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0, 1, 0, 0, 0, 0, &
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0, 0, 1, 0, 0, 0, &
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0, 0, 0, 1, 0, 0, &
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0, 0, 0, 0, 1, 0, &
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0, 0, 0, 0, 0, 1, &
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1, 1, 0, 0, 0, 0, &
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0, 1, 1, 0, 0, 0, &
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1, 0, 1, 0, 0, 0, &
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1, 0, 0, 1, 0, 0, &
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0, 1, 0, 0, 1, 0, &
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0, 0, 1, 0, 0, 1, &
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0, 0, 0, 1, 1, 0, &
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0, 0, 0, 0, 1, 1, &
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0, 0, 0, 1, 0, 1, &
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1, 1, 1, 0, 0, 0, &
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1, 1, 0, 1, 1, 0, &
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0, 1, 1, 0, 1, 1, &
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1, 0, 1, 1, 0, 1, &
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0, 0, 0, 1, 1, 1, &
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1, 1, 1, 1, 1, 1 &
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],[NNODE(9),NCELLNODE(GEOMTYPE(9))])
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integer, dimension(NNODE(10),NCELLNODE(GEOMTYPE(10))), parameter :: CELLNODEPARENTNODEWEIGHTS10 = &
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reshape([&
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1, 0, 0, 0, 0, 0, 0, 0, &
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0, 1, 0, 0, 0, 0, 0, 0, &
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0, 0, 1, 0, 0, 0, 0, 0, &
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0, 0, 0, 1, 0, 0, 0, 0, &
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0, 0, 0, 0, 1, 0, 0, 0, &
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0, 0, 0, 0, 0, 1, 0, 0, &
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0, 0, 0, 0, 0, 0, 1, 0, &
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0, 0, 0, 0, 0, 0, 0, 1 &
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],[NNODE(10),NCELLNODE(GEOMTYPE(10))])
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integer, dimension(NNODE(11),NCELLNODE(GEOMTYPE(11))), parameter :: CELLNODEPARENTNODEWEIGHTS11 = &
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reshape([&
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1, 0, 0, 0, 0, 0, 0, 0, & !
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0, 1, 0, 0, 0, 0, 0, 0, & !
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0, 0, 1, 0, 0, 0, 0, 0, & !
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0, 0, 0, 1, 0, 0, 0, 0, & !
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0, 0, 0, 0, 1, 0, 0, 0, & ! 5
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0, 0, 0, 0, 0, 1, 0, 0, & !
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0, 0, 0, 0, 0, 0, 1, 0, & !
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0, 0, 0, 0, 0, 0, 0, 1, & !
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1, 1, 0, 0, 0, 0, 0, 0, & !
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0, 1, 1, 0, 0, 0, 0, 0, & ! 10
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0, 0, 1, 1, 0, 0, 0, 0, & !
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1, 0, 0, 1, 0, 0, 0, 0, & !
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0, 0, 0, 0, 1, 1, 0, 0, & !
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0, 0, 0, 0, 0, 1, 1, 0, & !
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0, 0, 0, 0, 0, 0, 1, 1, & ! 15
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0, 0, 0, 0, 1, 0, 0, 1, & !
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1, 0, 0, 0, 1, 0, 0, 0, & !
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0, 1, 0, 0, 0, 1, 0, 0, & !
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|
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 & !
|
|
],[NNODE(11),NCELLNODE(GEOMTYPE(11))])
|
|
|
|
integer, dimension(NNODE(12),NCELLNODE(GEOMTYPE(12))), parameter :: CELLNODEPARENTNODEWEIGHTS12 = &
|
|
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 & !
|
|
],[NNODE(12),NCELLNODE(GEOMTYPE(12))])
|
|
|
|
integer, dimension(NNODE(13),NCELLNODE(GEOMTYPE(13))), parameter :: CELLNODEPARENTNODEWEIGHTS13 = &
|
|
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 & !
|
|
],[NNODE(13),NCELLNODE(GEOMTYPE(13))])
|
|
|
|
|
|
integer, dimension(NCELLNODEPERCELL(CELLTYPE(1)),NIP(1)), parameter :: CELL1 = &
|
|
reshape([&
|
|
1,2,3 &
|
|
],[NCELLNODEPERCELL(CELLTYPE(1)),NIP(1)])
|
|
|
|
integer, dimension(NCELLNODEPERCELL(CELLTYPE(2)),NIP(2)), parameter :: CELL2 = &
|
|
reshape([&
|
|
1, 4, 7, 6, &
|
|
2, 5, 7, 4, &
|
|
3, 6, 7, 5 &
|
|
],[NCELLNODEPERCELL(CELLTYPE(2)),NIP(2)])
|
|
|
|
integer, dimension(NCELLNODEPERCELL(CELLTYPE(3)),NIP(3)), parameter :: CELL3 = &
|
|
reshape([&
|
|
1, 5, 9, 8, &
|
|
5, 2, 6, 9, &
|
|
8, 9, 7, 4, &
|
|
9, 6, 3, 7 &
|
|
],[NCELLNODEPERCELL(CELLTYPE(3)),NIP(3)])
|
|
|
|
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 &
|
|
],[NCELLNODEPERCELL(CELLTYPE(4)),NIP(4)])
|
|
|
|
integer, dimension(NCELLNODEPERCELL(CELLTYPE(5)),NIP(5)), parameter :: CELL5 = &
|
|
reshape([&
|
|
1, 2, 3, 4 &
|
|
],[NCELLNODEPERCELL(CELLTYPE(5)),NIP(5)])
|
|
|
|
integer, dimension(NCELLNODEPERCELL(CELLTYPE(6)),NIP(6)), parameter :: CELL6 = &
|
|
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 &
|
|
],[NCELLNODEPERCELL(CELLTYPE(6)),NIP(6)])
|
|
|
|
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 &
|
|
],[NCELLNODEPERCELL(CELLTYPE(7)),NIP(7)])
|
|
|
|
integer, dimension(NCELLNODEPERCELL(CELLTYPE(8)),NIP(8)), parameter :: CELL8 = &
|
|
reshape([&
|
|
1, 2, 3, 4, 5, 6, 7, 8 &
|
|
],[NCELLNODEPERCELL(CELLTYPE(8)),NIP(8)])
|
|
|
|
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 &
|
|
],[NCELLNODEPERCELL(CELLTYPE(9)),NIP(9)])
|
|
|
|
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 &
|
|
],[NCELLNODEPERCELL(CELLTYPE(10)),NIP(10)])
|
|
|
|
|
|
integer, dimension(NCELLNODEPERCELLFACE(1),NIPNEIGHBOR(1)), parameter :: CELLFACE1 = &
|
|
reshape([&
|
|
2,3, &
|
|
3,1, &
|
|
1,2 &
|
|
],[NCELLNODEPERCELLFACE(1),NIPNEIGHBOR(1)])
|
|
|
|
integer, dimension(NCELLNODEPERCELLFACE(2),NIPNEIGHBOR(2)), parameter :: CELLFACE2 = &
|
|
reshape([&
|
|
2,3, &
|
|
4,1, &
|
|
3,4, &
|
|
1,2 &
|
|
],[NCELLNODEPERCELLFACE(2),NIPNEIGHBOR(2)])
|
|
|
|
integer, dimension(NCELLNODEPERCELLFACE(3),NIPNEIGHBOR(3)), parameter :: CELLFACE3 = &
|
|
reshape([&
|
|
1,3,2, &
|
|
1,2,4, &
|
|
2,3,4, &
|
|
1,4,3 &
|
|
],[NCELLNODEPERCELLFACE(3),NIPNEIGHBOR(3)])
|
|
|
|
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 &
|
|
],[NCELLNODEPERCELLFACE(4),NIPNEIGHBOR(4)])
|
|
|
|
contains
|
|
|
|
|
|
!---------------------------------------------------------------------------------------------------
|
|
!> define properties of an element
|
|
!---------------------------------------------------------------------------------------------------
|
|
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
|
|
error stop '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
|
|
|
|
end subroutine tElement_init
|
|
|
|
end module element
|