789 lines
30 KiB
Fortran
789 lines
30 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 prec
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use IO
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implicit none
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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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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, private :: &
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NELEMTYPE = 13
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integer, dimension(NelemType), parameter, private :: NNODE = &
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[ &
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3, & ! 2D 3node 1ip
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6, & ! 2D 6node 3ip
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4, & ! 2D 4node 4ip
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8, & ! 2D 8node 9ip
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8, & ! 2D 8node 4ip
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!--------------------
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4, & ! 3D 4node 1ip
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5, & ! 3D 5node 4ip
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10, & ! 3D 10node 4ip
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6, & ! 3D 6node 6ip
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8, & ! 3D 8node 1ip
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8, & ! 3D 8node 8ip
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20, & ! 3D 20node 8ip
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20 & ! 3D 20node 27ip
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] !< number of nodes that constitute a specific type of element
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integer, dimension(NelemType), parameter, public :: GEOMTYPE = &
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[ &
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1, &
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2, &
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3, &
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4, &
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3, &
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5, &
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6, &
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6, &
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7, &
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8, &
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9, &
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9, &
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10 &
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] !< geometry type of particular element type
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!integer, dimension(maxval(geomType)), parameter, private :: NCELLNODE = & ! Intel 16.0 complains
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integer, dimension(10), parameter, private :: 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 in a specific geometry type
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!integer, dimension(maxval(geomType)), parameter, private :: NIP = & ! Intel 16.0 complains
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integer, dimension(10), parameter, private :: 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 in a specific geometry type
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!integer, dimension(maxval(geomType)), parameter, private :: CELLTYPE = & ! Intel 16.0 complains
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integer, dimension(10), parameter, private :: CELLTYPE = &
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[ &
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1, & ! 2D 3node
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2, & ! 2D 4node
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2, & ! 2D 4node
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2, & ! 2D 4node
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3, & ! 3D 4node
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4, & ! 3D 8node
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4, & ! 3D 8node
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4, & ! 3D 8node
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4, & ! 3D 8node
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4 & ! 3D 8node
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] !< cell type that is used by each geometry type
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!integer, dimension(maxval(cellType)), parameter, private :: nIPNeighbor = & ! Intel 16.0 complains
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integer, dimension(4), parameter, private :: NIPNEIGHBOR = &
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[ &
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3, & ! 2D 3node
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4, & ! 2D 4node
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4, & ! 3D 4node
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6 & ! 3D 8node
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] !< number of ip neighbors / cell faces in a specific cell type
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!integer, dimension(maxval(cellType)), parameter, private :: NCELLNODESPERCELLFACE = & ! Intel 16.0 complains
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integer, dimension(4), parameter, private :: NCELLNODEPERCELLFACE = &
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[ &
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2, & ! 2D 3node
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2, & ! 2D 4node
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3, & ! 3D 4node
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4 & ! 3D 8node
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] !< number of cell nodes in a specific cell type
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!integer, dimension(maxval(CELLTYPE)), parameter, private :: NCELLNODEPERCELL = & ! Intel 16.0 complains
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integer, dimension(4), parameter, private :: NCELLNODEPERCELL = &
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[ &
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3, & ! 2D 3node
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4, & ! 2D 4node
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4, & ! 3D 4node
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8 & ! 3D 8node
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] !< number of cell nodes in a specific cell type
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! *** FE_ipNeighbor ***
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! is a 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-FE IP identifier.
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! Negative integers denote the interface behind which the neighboring (extra-FE) IP will be located.
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integer, dimension(nIPneighbor(cellType(1)),nIP(1)), parameter, private :: IPneighbor1 = &
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reshape([&
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-2,-3,-1 &
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],[nIPneighbor(cellType(1)),nIP(1)])
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integer, dimension(nIPneighbor(cellType(2)),nIP(2)), parameter, private :: 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, private :: 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, private :: 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, private :: 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, private :: 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, private :: 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, private :: 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, private :: 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, private :: 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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! MD: probably not needed END
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! --------------------------------------------------------------------------------------------------
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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))]) !< 2D 3node 1ip
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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))]) !< 2D 6node 3ip
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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))]) !< 2D 6node 3ip
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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))]) !< 2D 8node 9ip
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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))]) !< 2D 8node 4ip
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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))]) !< 3D 4node 1ip
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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))]) !< 3D 5node 4ip
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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))]) !< 3D 10node 4ip
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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))]) !< 3D 6node 6ip
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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))]) !< 3D 8node 1ip
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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, & !
|
|
1, 0, 0, 0, 1, 0, 0, 0, & !
|
|
0, 1, 0, 0, 0, 1, 0, 0, & !
|
|
0, 0, 1, 0, 0, 0, 1, 0, & ! 15
|
|
0, 0, 0, 1, 0, 0, 0, 1, & !
|
|
0, 0, 0, 0, 1, 1, 0, 0, & !
|
|
0, 0, 0, 0, 0, 1, 1, 0, & !
|
|
0, 0, 0, 0, 0, 0, 1, 1, & !
|
|
0, 0, 0, 0, 1, 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))]) !< 3D 8node 8ip
|
|
|
|
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))]) !< 3D 20node 8ip
|
|
|
|
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))]) !< 3D 20node 27ip
|
|
|
|
|
|
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, 4, 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, 9,21,12,13,22,27,25, &
|
|
9, 2,10,21,22,14,23,27, &
|
|
12,21,11, 4,25,27,24,16, &
|
|
21,10, 3,11,27,23,15,24, &
|
|
13,22,27,25, 5,17,26,20, &
|
|
22,14,23,27,17, 6,18,26, &
|
|
25,27,24,16,20,26,19, 8, &
|
|
27,23,15,24,26,18, 7,19 &
|
|
],[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)]) !< 2D 3node, VTK_TRIANGLE (5)
|
|
|
|
integer, dimension(NCELLNODEPERCELLFACE(2),NIPNEIGHBOR(2)), parameter :: CELLFACE2 = &
|
|
reshape([&
|
|
2,3, &
|
|
4,1, &
|
|
3,4, &
|
|
1,2 &
|
|
],[NCELLNODEPERCELLFACE(2),NIPNEIGHBOR(2)]) !< 2D 4node, VTK_QUAD (9)
|
|
|
|
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)]) !< 3D 4node, VTK_TETRA (10)
|
|
|
|
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)]) !< 3D 8node, VTK_HEXAHEDRON (12)
|
|
|
|
|
|
contains
|
|
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subroutine tElement_init(self,elemType)
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class(tElement) :: self
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integer, intent(in) :: elemType
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self%elemType = elemType
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self%Nnodes = Nnode (self%elemType)
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self%geomType = geomType (self%elemType)
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select case (self%elemType)
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case(1)
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self%cellNodeParentNodeWeights = cellNodeParentNodeWeights1
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case(2)
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self%cellNodeParentNodeWeights = cellNodeParentNodeWeights2
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case(3)
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self%cellNodeParentNodeWeights = cellNodeParentNodeWeights3
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case(4)
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self%cellNodeParentNodeWeights = cellNodeParentNodeWeights4
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case(5)
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self%cellNodeParentNodeWeights = cellNodeParentNodeWeights5
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case(6)
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self%cellNodeParentNodeWeights = cellNodeParentNodeWeights6
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case(7)
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self%cellNodeParentNodeWeights = cellNodeParentNodeWeights7
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case(8)
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self%cellNodeParentNodeWeights = cellNodeParentNodeWeights8
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case(9)
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self%cellNodeParentNodeWeights = cellNodeParentNodeWeights9
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case(10)
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self%cellNodeParentNodeWeights = cellNodeParentNodeWeights10
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case(11)
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self%cellNodeParentNodeWeights = cellNodeParentNodeWeights11
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case(12)
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self%cellNodeParentNodeWeights = cellNodeParentNodeWeights12
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case(13)
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self%cellNodeParentNodeWeights = cellNodeParentNodeWeights13
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case default
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call IO_error(0,ext_msg='invalid element type')
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end select
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self%NcellNodes = NcellNode (self%geomType)
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self%nIPs = nIP (self%geomType)
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self%cellType = cellType (self%geomType)
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select case (self%geomType)
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case(1)
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self%IPneighbor = IPneighbor1
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self%cell = CELL1
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case(2)
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self%IPneighbor = IPneighbor2
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self%cell = CELL2
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case(3)
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self%IPneighbor = IPneighbor3
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self%cell = CELL3
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case(4)
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self%IPneighbor = IPneighbor4
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self%cell = CELL4
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case(5)
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self%IPneighbor = IPneighbor5
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self%cell = CELL5
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case(6)
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self%IPneighbor = IPneighbor6
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self%cell = CELL6
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case(7)
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self%IPneighbor = IPneighbor7
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self%cell = CELL7
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case(8)
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self%IPneighbor = IPneighbor8
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self%cell = CELL8
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case(9)
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self%IPneighbor = IPneighbor9
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self%cell = CELL9
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case(10)
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self%IPneighbor = IPneighbor10
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self%cell = CELL10
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end select
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self%NcellNodesPerCell = NCELLNODEPERCELL(self%cellType)
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select case(self%cellType)
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case(1)
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self%cellFace = CELLFACE1
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case(2)
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self%cellFace = CELLFACE2
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case(3)
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self%cellFace = CELLFACE3
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case(4)
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self%cellFace = CELLFACE4
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end select
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self%nIPneighbors = size(self%IPneighbor,1)
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write(6,'(/,a)') ' <<<+- element_init -+>>>'
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write(6,*) ' element type: ',self%elemType
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write(6,*) ' geom type: ',self%geomType
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write(6,*) ' cell type: ',self%cellType
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write(6,*) ' # node: ',self%Nnodes
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write(6,*) ' # IP: ',self%nIPs
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write(6,*) ' # cellnode: ',self%Ncellnodes
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write(6,*) ' # cellnode/cell: ',self%NcellnodesPerCell
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write(6,*) ' # IP neighbor: ',self%nIPneighbors
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end subroutine tElement_init
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end module element
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