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