!-------------------------------------------------------------------------------------------------- !> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH !> @author Christoph Koords, Max-Planck-Institut für Eisenforschung GmbH !> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH !> @brief Sets up the mesh for the solver MSC.Marc !-------------------------------------------------------------------------------------------------- module mesh use, intrinsic :: iso_c_binding use prec, only: pReal, pInt use mesh_base implicit none private integer(pInt), public, protected :: & mesh_NcpElems, & !< total number of CP elements in local mesh mesh_elemType, & !< Element type of the mesh (only support homogeneous meshes) mesh_Nnodes, & !< total number of nodes in mesh mesh_Ncellnodes, & !< total number of cell nodes in mesh (including duplicates) mesh_Ncells, & !< total number of cells in mesh mesh_NcellnodesPerElem, & !< number of cell nodes per element mesh_maxNipNeighbors, & !< max number of IP neighbors in any CP element mesh_maxNsharedElems !< max number of CP elements sharing a node !!!! BEGIN DEPRECATED !!!!! integer(pInt), public, protected :: & mesh_maxNips, & !< max number of IPs in any CP element mesh_maxNcellnodes !< max number of cell nodes in any CP element !!!! BEGIN DEPRECATED !!!!! integer(pInt), dimension(:), allocatable, public, protected :: & mesh_homogenizationAt, & !< homogenization ID of each element mesh_microstructureAt !< microstructure ID of each element integer(pInt), dimension(:,:), allocatable, public, protected :: & mesh_element, & !DEPRECATED mesh_sharedElem, & !< entryCount and list of elements containing node mesh_nodeTwins !< node twins are surface nodes that lie exactly on opposite sides of the mesh (surfaces nodes with equal coordinate values in two dimensions) integer(pInt), dimension(:,:,:,:), allocatable, public, protected :: & mesh_ipNeighborhood !< 6 or less neighboring IPs as [element_num, IP_index, neighbor_index that points to me] real(pReal), public, protected :: & mesh_unitlength !< physical length of one unit in mesh real(pReal), dimension(:,:), allocatable, public :: & mesh_node, & !< node x,y,z coordinates (after deformation! ONLY FOR MARC!!!) mesh_cellnode !< cell node x,y,z coordinates (after deformation! ONLY FOR MARC!!!) real(pReal), dimension(:,:), allocatable, public, protected :: & mesh_ipVolume, & !< volume associated with IP (initially!) mesh_node0 !< node x,y,z coordinates (initially!) real(pReal), dimension(:,:,:), allocatable, public, protected :: & mesh_ipArea !< area of interface to neighboring IP (initially!) real(pReal), dimension(:,:,:), allocatable, public :: & mesh_ipCoordinates !< IP x,y,z coordinates (after deformation!) real(pReal),dimension(:,:,:,:), allocatable, public, protected :: & mesh_ipAreaNormal !< area normal of interface to neighboring IP (initially!) logical, dimension(3), public, protected :: mesh_periodicSurface !< flag indicating periodic outer surfaces (used for fluxes) integer(pInt), private :: & mesh_maxNelemInSet, & mesh_Nmaterials integer(pInt), dimension(:,:), allocatable, private :: & mesh_cellnodeParent !< cellnode's parent element ID, cellnode's intra-element ID integer(pInt),dimension(:,:,:), allocatable, private :: & mesh_cell !< cell connectivity for each element,ip/cell integer(pInt), dimension(:,:,:), allocatable, private :: & FE_nodesAtIP, & !< map IP index to node indices in a specific type of element FE_ipNeighbor, & !< +x,-x,+y,-y,+z,-z list of intra-element IPs and(negative) neighbor faces per own IP in a specific type of element FE_cell, & !< list of intra-element cell node IDs that constitute the cells in a specific type of element geometry FE_cellface !< list of intra-cell cell node IDs that constitute the cell faces of a specific type of cell real(pReal), dimension(:,:,:), allocatable, private :: & FE_cellnodeParentnodeWeights !< list of node weights for the generation of cell nodes integer(pInt), dimension(:,:,:,:), allocatable, private :: & FE_subNodeOnIPFace ! These definitions should actually reside in the FE-solver specific part (different for MARC/ABAQUS) ! Hence, I suggest to prefix with "FE_" integer(pInt), parameter, public :: & FE_Nelemtypes = 13_pInt, & FE_Ngeomtypes = 10_pInt, & FE_Ncelltypes = 4_pInt, & FE_maxNnodes = 20_pInt, & FE_maxNips = 27_pInt, & FE_maxNipNeighbors = 6_pInt, & FE_maxmaxNnodesAtIP = 8_pInt, & !< max number of (equivalent) nodes attached to an IP FE_maxNmatchingNodesPerFace = 4_pInt, & FE_maxNfaces = 6_pInt, & FE_maxNcellnodes = 64_pInt, & FE_maxNcellnodesPerCell = 8_pInt, & FE_maxNcellfaces = 6_pInt, & FE_maxNcellnodesPerCellface = 4_pInt integer(pInt), dimension(FE_Nelemtypes), parameter, public :: FE_geomtype = & !< geometry type of particular element type int([ & 1, & ! element 6 (2D 3node 1ip) 2, & ! element 125 (2D 6node 3ip) 3, & ! element 11 (2D 4node 4ip) 4, & ! element 27 (2D 8node 9ip) 3, & ! element 54 (2D 8node 4ip) 5, & ! element 134 (3D 4node 1ip) 6, & ! element 157 (3D 5node 4ip) 6, & ! element 127 (3D 10node 4ip) 7, & ! element 136 (3D 6node 6ip) 8, & ! element 117 (3D 8node 1ip) 9, & ! element 7 (3D 8node 8ip) 9, & ! element 57 (3D 20node 8ip) 10 & ! element 21 (3D 20node 27ip) ],pInt) integer(pInt), dimension(FE_Ngeomtypes), parameter, public :: FE_celltype = & !< cell type that is used by each geometry type int([ & 1, & ! element 6 (2D 3node 1ip) 2, & ! element 125 (2D 6node 3ip) 2, & ! element 11 (2D 4node 4ip) 2, & ! element 27 (2D 8node 9ip) 3, & ! element 134 (3D 4node 1ip) 4, & ! element 127 (3D 10node 4ip) 4, & ! element 136 (3D 6node 6ip) 4, & ! element 117 (3D 8node 1ip) 4, & ! element 7 (3D 8node 8ip) 4 & ! element 21 (3D 20node 27ip) ],pInt) integer(pInt), dimension(FE_Ngeomtypes), parameter, public :: FE_dimension = & !< dimension of geometry type int([ & 2, & ! element 6 (2D 3node 1ip) 2, & ! element 125 (2D 6node 3ip) 2, & ! element 11 (2D 4node 4ip) 2, & ! element 27 (2D 8node 9ip) 3, & ! element 134 (3D 4node 1ip) 3, & ! element 127 (3D 10node 4ip) 3, & ! element 136 (3D 6node 6ip) 3, & ! element 117 (3D 8node 1ip) 3, & ! element 7 (3D 8node 8ip) 3 & ! element 21 (3D 20node 27ip) ],pInt) integer(pInt), dimension(FE_Nelemtypes), parameter, public :: FE_Nnodes = & !< number of nodes that constitute a specific type of element int([ & 3, & ! element 6 (2D 3node 1ip) 6, & ! element 125 (2D 6node 3ip) 4, & ! element 11 (2D 4node 4ip) 8, & ! element 27 (2D 8node 9ip) 8, & ! element 54 (2D 8node 4ip) 4, & ! element 134 (3D 4node 1ip) 5, & ! element 157 (3D 5node 4ip) 10, & ! element 127 (3D 10node 4ip) 6, & ! element 136 (3D 6node 6ip) 8, & ! element 117 (3D 8node 1ip) 8, & ! element 7 (3D 8node 8ip) 20, & ! element 57 (3D 20node 8ip) 20 & ! element 21 (3D 20node 27ip) ],pInt) integer(pInt), dimension(FE_Ngeomtypes), parameter, public :: FE_Nfaces = & !< number of faces of a specific type of element geometry int([ & 3, & ! element 6 (2D 3node 1ip) 3, & ! element 125 (2D 6node 3ip) 4, & ! element 11 (2D 4node 4ip) 4, & ! element 27 (2D 8node 9ip) 4, & ! element 134 (3D 4node 1ip) 4, & ! element 127 (3D 10node 4ip) 5, & ! element 136 (3D 6node 6ip) 6, & ! element 117 (3D 8node 1ip) 6, & ! element 7 (3D 8node 8ip) 6 & ! element 21 (3D 20node 27ip) ],pInt) integer(pInt), dimension(FE_Ngeomtypes), parameter, private :: FE_NmatchingNodes = & !< number of nodes that are needed for face matching in a specific type of element geometry int([ & 3, & ! element 6 (2D 3node 1ip) 3, & ! element 125 (2D 6node 3ip) 4, & ! element 11 (2D 4node 4ip) 4, & ! element 27 (2D 8node 9ip) 4, & ! element 134 (3D 4node 1ip) 4, & ! element 127 (3D 10node 4ip) 6, & ! element 136 (3D 6node 6ip) 8, & ! element 117 (3D 8node 1ip) 8, & ! element 7 (3D 8node 8ip) 8 & ! element 21 (3D 20node 27ip) ],pInt) integer(pInt), dimension(FE_maxNfaces,FE_Ngeomtypes), parameter, private :: & FE_NmatchingNodesPerFace = & !< number of matching nodes per face in a specific type of element geometry reshape(int([ & 2,2,2,0,0,0, & ! element 6 (2D 3node 1ip) 2,2,2,0,0,0, & ! element 125 (2D 6node 3ip) 2,2,2,2,0,0, & ! element 11 (2D 4node 4ip) 2,2,2,2,0,0, & ! element 27 (2D 8node 9ip) 3,3,3,3,0,0, & ! element 134 (3D 4node 1ip) 3,3,3,3,0,0, & ! element 127 (3D 10node 4ip) 3,4,4,4,3,0, & ! element 136 (3D 6node 6ip) 4,4,4,4,4,4, & ! element 117 (3D 8node 1ip) 4,4,4,4,4,4, & ! element 7 (3D 8node 8ip) 4,4,4,4,4,4 & ! element 21 (3D 20node 27ip) ],pInt),[FE_maxNipNeighbors,FE_Ngeomtypes]) integer(pInt), dimension(FE_maxNmatchingNodesPerFace,FE_maxNfaces,FE_Ngeomtypes), & parameter, private :: FE_face = & !< List of node indices on each face of a specific type of element geometry reshape(int([& 1,2,0,0 , & ! element 6 (2D 3node 1ip) 2,3,0,0 , & 3,1,0,0 , & 0,0,0,0 , & 0,0,0,0 , & 0,0,0,0 , & 1,2,0,0 , & ! element 125 (2D 6node 3ip) 2,3,0,0 , & 3,1,0,0 , & 0,0,0,0 , & 0,0,0,0 , & 0,0,0,0 , & 1,2,0,0 , & ! element 11 (2D 4node 4ip) 2,3,0,0 , & 3,4,0,0 , & 4,1,0,0 , & 0,0,0,0 , & 0,0,0,0 , & 1,2,0,0 , & ! element 27 (2D 8node 9ip) 2,3,0,0 , & 3,4,0,0 , & 4,1,0,0 , & 0,0,0,0 , & 0,0,0,0 , & 1,2,3,0 , & ! element 134 (3D 4node 1ip) 1,4,2,0 , & 2,3,4,0 , & 1,3,4,0 , & 0,0,0,0 , & 0,0,0,0 , & 1,2,3,0 , & ! element 127 (3D 10node 4ip) 1,4,2,0 , & 2,4,3,0 , & 1,3,4,0 , & 0,0,0,0 , & 0,0,0,0 , & 1,2,3,0 , & ! element 136 (3D 6node 6ip) 1,4,5,2 , & 2,5,6,3 , & 1,3,6,4 , & 4,6,5,0 , & 0,0,0,0 , & 1,2,3,4 , & ! element 117 (3D 8node 1ip) 2,1,5,6 , & 3,2,6,7 , & 4,3,7,8 , & 4,1,5,8 , & 8,7,6,5 , & 1,2,3,4 , & ! element 7 (3D 8node 8ip) 2,1,5,6 , & 3,2,6,7 , & 4,3,7,8 , & 4,1,5,8 , & 8,7,6,5 , & 1,2,3,4 , & ! element 21 (3D 20node 27ip) 2,1,5,6 , & 3,2,6,7 , & 4,3,7,8 , & 4,1,5,8 , & 8,7,6,5 & ],pInt),[FE_maxNmatchingNodesPerFace,FE_maxNfaces,FE_Ngeomtypes]) integer(pInt), dimension(FE_Ngeomtypes), parameter, private :: FE_Ncellnodes = & !< number of cell nodes in a specific geometry type int([ & 3, & ! element 6 (2D 3node 1ip) 7, & ! element 125 (2D 6node 3ip) 9, & ! element 11 (2D 4node 4ip) 16, & ! element 27 (2D 8node 9ip) 4, & ! element 134 (3D 4node 1ip) 15, & ! element 127 (3D 10node 4ip) 21, & ! element 136 (3D 6node 6ip) 8, & ! element 117 (3D 8node 1ip) 27, & ! element 7 (3D 8node 8ip) 64 & ! element 21 (3D 20node 27ip) ],pInt) integer(pInt), dimension(FE_Ncelltypes), parameter, private :: FE_NcellnodesPerCell = & !< number of cell nodes in a specific cell type int([ & 3, & ! (2D 3node) 4, & ! (2D 4node) 4, & ! (3D 4node) 8 & ! (3D 8node) ],pInt) integer(pInt), dimension(FE_Ncelltypes), parameter, private :: FE_NcellnodesPerCellface = & !< number of cell nodes per cell face in a specific cell type int([& 2, & ! (2D 3node) 2, & ! (2D 4node) 3, & ! (3D 4node) 4 & ! (3D 8node) ],pInt) integer(pInt), dimension(FE_Ngeomtypes), parameter, public :: FE_Nips = & !< number of IPs in a specific type of element int([ & 1, & ! element 6 (2D 3node 1ip) 3, & ! element 125 (2D 6node 3ip) 4, & ! element 11 (2D 4node 4ip) 9, & ! element 27 (2D 8node 9ip) 1, & ! element 134 (3D 4node 1ip) 4, & ! element 127 (3D 10node 4ip) 6, & ! element 136 (3D 6node 6ip) 1, & ! element 117 (3D 8node 1ip) 8, & ! element 7 (3D 8node 8ip) 27 & ! element 21 (3D 20node 27ip) ],pInt) integer(pInt), dimension(FE_Ncelltypes), parameter, public :: FE_NipNeighbors = & !< number of ip neighbors / cell faces in a specific cell type int([& 3, & ! (2D 3node) 4, & ! (2D 4node) 4, & ! (3D 4node) 6 & ! (3D 8node) ],pInt) integer(pInt), dimension(FE_Ngeomtypes), parameter, private :: FE_maxNnodesAtIP = & !< maximum number of parent nodes that belong to an IP for a specific type of element int([ & 3, & ! element 6 (2D 3node 1ip) 1, & ! element 125 (2D 6node 3ip) 1, & ! element 11 (2D 4node 4ip) 2, & ! element 27 (2D 8node 9ip) 4, & ! element 134 (3D 4node 1ip) 1, & ! element 127 (3D 10node 4ip) 1, & ! element 136 (3D 6node 6ip) 8, & ! element 117 (3D 8node 1ip) 1, & ! element 7 (3D 8node 8ip) 4 & ! element 21 (3D 20node 27ip) ],pInt) integer(pInt), private :: & mesh_Nelems, & !< total number of elements in mesh (including non-DAMASK elements) mesh_maxNnodes, & !< max number of nodes in any CP element mesh_NelemSets character(len=64), dimension(:), allocatable, private :: & mesh_nameElemSet, & !< names of elementSet mesh_nameMaterial, & !< names of material in solid section mesh_mapMaterial !< name of elementSet for material integer(pInt), dimension(:,:), allocatable, private :: & mesh_mapElemSet !< list of elements in elementSet integer(pInt), dimension(:,:), allocatable, target, private :: & mesh_mapFEtoCPelem, & !< [sorted FEid, corresponding CPid] mesh_mapFEtoCPnode !< [sorted FEid, corresponding CPid] integer(pInt), private :: & MarcVersion, & !< Version of input file format (Marc only) hypoelasticTableStyle, & !< Table style (Marc only) initialcondTableStyle !< Table style (Marc only) integer(pInt), dimension(:), allocatable, private :: & Marc_matNumber !< array of material numbers for hypoelastic material (Marc only) public :: & mesh_init, & mesh_build_cellnodes, & mesh_build_ipVolumes, & mesh_build_ipCoordinates, & mesh_cellCenterCoordinates, & mesh_FEasCP private :: & mesh_get_damaskOptions, & mesh_build_cellconnectivity, & mesh_build_ipAreas, & FE_mapElemtype, & mesh_faceMatch, & mesh_build_FEdata, & mesh_build_nodeTwins, & mesh_build_sharedElems, & mesh_build_ipNeighborhood, & mesh_marc_get_fileFormat, & mesh_marc_get_tableStyles, & mesh_marc_get_matNumber, & mesh_marc_count_nodesAndElements, & mesh_marc_count_elementSets, & mesh_marc_map_elementSets, & mesh_marc_count_cpElements, & mesh_marc_map_Elements, & mesh_marc_map_nodes, & mesh_marc_build_nodes, & mesh_marc_count_cpSizes, & mesh_marc_build_elements type, public, extends(tMesh) :: tMesh_marc integer(pInt), public :: & nElemsAll, & maxNelemInSet, & NelemSets,& MarcVersion, & !< Version of input file format ToDo: Better Name? hypoelasticTableStyle, & !< Table style initialcondTableStyle character(len=64), dimension(:), allocatable :: & nameElemSet,& !< names of elementSet mesh_nameElemSet, & !< names of elementSet mapMaterial !< name of elementSet for material integer(pInt), dimension(:), allocatable :: & Marc_matNumber !< array of material numbers for hypoelastic material (Marc only) integer(pInt) :: & mesh_Nelems, & !< total number of elements in mesh (including non-DAMASK elements) mesh_maxNnodes, & !< max number of nodes in any CP element mesh_NelemSets, & mesh_maxNelemInSet integer(pInt), dimension(:,:), allocatable :: & mesh_mapElemSet !< list of elements in elementSet contains procedure, pass(self) :: tMesh_marc_init generic, public :: init => tMesh_marc_init end type tMesh_marc type(tMesh_marc), public, protected :: theMesh contains subroutine tMesh_marc_init(self,elemType,nodes) implicit none class(tMesh_marc) :: self real(pReal), dimension(:,:), intent(in) :: nodes integer(pInt), intent(in) :: elemType call self%tMesh%init('mesh',elemType,nodes) end subroutine tMesh_marc_init !-------------------------------------------------------------------------------------------------- !> @brief initializes the mesh by calling all necessary private routines the mesh module !! Order and routines strongly depend on type of solver !-------------------------------------------------------------------------------------------------- subroutine mesh_init(ip,el) #if defined(__GFORTRAN__) || __INTEL_COMPILER >= 1800 use, intrinsic :: iso_fortran_env, only: & compiler_version, & compiler_options #endif use DAMASK_interface use IO, only: & IO_open_InputFile, & IO_timeStamp, & IO_error, & IO_write_jobFile use debug, only: & debug_e, & debug_i, & debug_level, & debug_mesh, & debug_levelBasic use numerics, only: & usePingPong, & numerics_unitlength, & worldrank use FEsolving, only: & modelName, & calcMode, & FEsolving_execElem, & FEsolving_execIP implicit none integer(pInt), parameter :: FILEUNIT = 222_pInt integer(pInt), intent(in), optional :: el, ip integer(pInt) :: j logical :: myDebug write(6,'(/,a)') ' <<<+- mesh init -+>>>' write(6,'(a15,a)') ' Current time: ',IO_timeStamp() #include "compilation_info.f90" call mesh_build_FEdata ! get properties of the different types of elements mesh_unitlength = numerics_unitlength ! set physical extent of a length unit in mesh myDebug = (iand(debug_level(debug_mesh),debug_levelBasic) /= 0_pInt) call IO_open_inputFile(FILEUNIT,modelName) ! parse info from input file... if (myDebug) write(6,'(a)') ' Opened input file'; flush(6) call mesh_marc_get_fileFormat(FILEUNIT) if (myDebug) write(6,'(a)') ' Got input file format'; flush(6) call mesh_marc_get_tableStyles(FILEUNIT) if (myDebug) write(6,'(a)') ' Got table styles'; flush(6) if (MarcVersion > 12) then call mesh_marc_get_matNumber(FILEUNIT) if (myDebug) write(6,'(a)') ' Got hypoleastic material number'; flush(6) endif call mesh_marc_count_nodesAndElements(FILEUNIT) if (myDebug) write(6,'(a)') ' Counted nodes/elements'; flush(6) call mesh_marc_count_elementSets(FILEUNIT) if (myDebug) write(6,'(a)') ' Counted element sets'; flush(6) call mesh_marc_map_elementSets(FILEUNIT) if (myDebug) write(6,'(a)') ' Mapped element sets'; flush(6) call mesh_marc_count_cpElements(FILEUNIT) if (myDebug) write(6,'(a)') ' Counted CP elements'; flush(6) call mesh_marc_map_elements(FILEUNIT) if (myDebug) write(6,'(a)') ' Mapped elements'; flush(6) call mesh_marc_map_nodes(FILEUNIT) if (myDebug) write(6,'(a)') ' Mapped nodes'; flush(6) call mesh_marc_build_nodes(FILEUNIT) if (myDebug) write(6,'(a)') ' Built nodes'; flush(6) call mesh_marc_count_cpSizes(FILEUNIT) if (myDebug) write(6,'(a)') ' Counted CP sizes'; flush(6) call mesh_marc_build_elements(FILEUNIT) if (myDebug) write(6,'(a)') ' Built elements'; flush(6) call mesh_get_damaskOptions(FILEUNIT) if (myDebug) write(6,'(a)') ' Got DAMASK options'; flush(6) call mesh_build_cellconnectivity if (myDebug) write(6,'(a)') ' Built cell connectivity'; flush(6) mesh_cellnode = mesh_build_cellnodes(mesh_node,mesh_Ncellnodes) if (myDebug) write(6,'(a)') ' Built cell nodes'; flush(6) call mesh_build_ipCoordinates if (myDebug) write(6,'(a)') ' Built IP coordinates'; flush(6) call mesh_build_ipVolumes if (myDebug) write(6,'(a)') ' Built IP volumes'; flush(6) call mesh_build_ipAreas if (myDebug) write(6,'(a)') ' Built IP areas'; flush(6) close (FILEUNIT) call mesh_build_nodeTwins if (myDebug) write(6,'(a)') ' Built node twins'; flush(6) call mesh_build_sharedElems if (myDebug) write(6,'(a)') ' Built shared elements'; flush(6) call mesh_build_ipNeighborhood if (myDebug) write(6,'(a)') ' Built IP neighborhood'; flush(6) if (usePingPong .and. (mesh_Nelems /= mesh_NcpElems)) & call IO_error(600_pInt) ! ping-pong must be disabled when having non-DAMASK elements if (debug_e < 1 .or. debug_e > mesh_NcpElems) & call IO_error(602_pInt,ext_msg='element') ! selected element does not exist if (debug_i < 1 .or. debug_i > FE_Nips(FE_geomtype(mesh_element(2_pInt,debug_e)))) & call IO_error(602_pInt,ext_msg='IP') ! selected element does not have requested IP FEsolving_execElem = [ 1_pInt,mesh_NcpElems ] ! parallel loop bounds set to comprise all DAMASK elements allocate(FEsolving_execIP(2_pInt,mesh_NcpElems), source=1_pInt) ! parallel loop bounds set to comprise from first IP... forall (j = 1_pInt:mesh_NcpElems) FEsolving_execIP(2,j) = FE_Nips(FE_geomtype(mesh_element(2,j))) ! ...up to own IP count for each element allocate(calcMode(mesh_maxNips,mesh_NcpElems)) calcMode = .false. ! pretend to have collected what first call is asking (F = I) calcMode(ip,mesh_FEasCP('elem',el)) = .true. ! first ip,el needs to be already pingponged to "calc" !!!! COMPATIBILITY HACK !!!! ! for a homogeneous mesh, all elements have the same number of IPs and and cell nodes. ! hence, xxPerElem instead of maxXX mesh_NcellnodesPerElem = mesh_maxNcellnodes ! better name mesh_homogenizationAt = mesh_element(3,:) mesh_microstructureAt = mesh_element(4,:) !!!!!!!!!!!!!!!!!!!!!!!! call theMesh%init(mesh_element(2,1),mesh_node0) call theMesh%setNelems(mesh_NcpElems) end subroutine mesh_init !-------------------------------------------------------------------------------------------------- !> @brief Gives the FE to CP ID mapping by binary search through lookup array !! valid questions (what) are 'elem', 'node' !-------------------------------------------------------------------------------------------------- integer(pInt) function mesh_FEasCP(what,myID) use IO, only: & IO_lc implicit none character(len=*), intent(in) :: what integer(pInt), intent(in) :: myID integer(pInt), dimension(:,:), pointer :: lookupMap integer(pInt) :: lower,upper,center mesh_FEasCP = 0_pInt select case(IO_lc(what(1:4))) case('elem') lookupMap => mesh_mapFEtoCPelem case('node') lookupMap => mesh_mapFEtoCPnode case default return endselect lower = 1_pInt upper = int(size(lookupMap,2_pInt),pInt) if (lookupMap(1_pInt,lower) == myID) then ! check at bounds QUESTION is it valid to extend bounds by 1 and just do binary search w/o init check at bounds? mesh_FEasCP = lookupMap(2_pInt,lower) return elseif (lookupMap(1_pInt,upper) == myID) then mesh_FEasCP = lookupMap(2_pInt,upper) return endif binarySearch: do while (upper-lower > 1_pInt) center = (lower+upper)/2_pInt if (lookupMap(1_pInt,center) < myID) then lower = center elseif (lookupMap(1_pInt,center) > myID) then upper = center else mesh_FEasCP = lookupMap(2_pInt,center) exit endif enddo binarySearch end function mesh_FEasCP !-------------------------------------------------------------------------------------------------- !> @brief Split CP elements into cells. !> @details Build a mapping between cells and the corresponding cell nodes ('mesh_cell'). !> Cell nodes that are also matching nodes are unique in the list of cell nodes, !> all others (currently) might be stored more than once. !> Also allocates the 'mesh_node' array. !-------------------------------------------------------------------------------------------------- subroutine mesh_build_cellconnectivity implicit none integer(pInt), dimension(:), allocatable :: & matchingNode2cellnode integer(pInt), dimension(:,:), allocatable :: & cellnodeParent integer(pInt), dimension(mesh_maxNcellnodes) :: & localCellnode2globalCellnode integer(pInt) :: & e,t,g,c,n,i, & matchingNodeID, & localCellnodeID allocate(mesh_cell(FE_maxNcellnodesPerCell,mesh_maxNips,mesh_NcpElems), source=0_pInt) allocate(matchingNode2cellnode(mesh_Nnodes), source=0_pInt) allocate(cellnodeParent(2_pInt,mesh_maxNcellnodes*mesh_NcpElems), source=0_pInt) !-------------------------------------------------------------------------------------------------- ! Count cell nodes (including duplicates) and generate cell connectivity list mesh_Ncellnodes = 0_pInt mesh_Ncells = 0_pInt do e = 1_pInt,mesh_NcpElems ! loop over cpElems t = mesh_element(2_pInt,e) ! get element type g = FE_geomtype(t) ! get geometry type c = FE_celltype(g) ! get cell type localCellnode2globalCellnode = 0_pInt mesh_Ncells = mesh_Ncells + FE_Nips(g) do i = 1_pInt,FE_Nips(g) ! loop over ips=cells in this element do n = 1_pInt,FE_NcellnodesPerCell(c) ! loop over cell nodes in this cell localCellnodeID = FE_cell(n,i,g) if (localCellnodeID <= FE_NmatchingNodes(g)) then ! this cell node is a matching node matchingNodeID = mesh_element(4_pInt+localCellnodeID,e) if (matchingNode2cellnode(matchingNodeID) == 0_pInt) then ! if this matching node does not yet exist in the glbal cell node list ... mesh_Ncellnodes = mesh_Ncellnodes + 1_pInt ! ... count it as cell node ... matchingNode2cellnode(matchingNodeID) = mesh_Ncellnodes ! ... and remember its global ID cellnodeParent(1_pInt,mesh_Ncellnodes) = e ! ... and where it belongs to cellnodeParent(2_pInt,mesh_Ncellnodes) = localCellnodeID endif mesh_cell(n,i,e) = matchingNode2cellnode(matchingNodeID) else ! this cell node is no matching node if (localCellnode2globalCellnode(localCellnodeID) == 0_pInt) then ! if this local cell node does not yet exist in the global cell node list ... mesh_Ncellnodes = mesh_Ncellnodes + 1_pInt ! ... count it as cell node ... localCellnode2globalCellnode(localCellnodeID) = mesh_Ncellnodes ! ... and remember its global ID ... cellnodeParent(1_pInt,mesh_Ncellnodes) = e ! ... and it belongs to cellnodeParent(2_pInt,mesh_Ncellnodes) = localCellnodeID endif mesh_cell(n,i,e) = localCellnode2globalCellnode(localCellnodeID) endif enddo enddo enddo allocate(mesh_cellnodeParent(2_pInt,mesh_Ncellnodes)) allocate(mesh_cellnode(3_pInt,mesh_Ncellnodes)) forall(n = 1_pInt:mesh_Ncellnodes) mesh_cellnodeParent(1,n) = cellnodeParent(1,n) mesh_cellnodeParent(2,n) = cellnodeParent(2,n) endforall end subroutine mesh_build_cellconnectivity !-------------------------------------------------------------------------------------------------- !> @brief Calculate position of cellnodes from the given position of nodes !> Build list of cellnodes' coordinates. !> Cellnode coordinates are calculated from a weighted sum of node coordinates. !-------------------------------------------------------------------------------------------------- function mesh_build_cellnodes(nodes,Ncellnodes) implicit none integer(pInt), intent(in) :: Ncellnodes !< requested number of cellnodes real(pReal), dimension(3,mesh_Nnodes), intent(in) :: nodes real(pReal), dimension(3,Ncellnodes) :: mesh_build_cellnodes integer(pInt) :: & e,t,n,m, & localCellnodeID real(pReal), dimension(3) :: & myCoords mesh_build_cellnodes = 0.0_pReal !$OMP PARALLEL DO PRIVATE(e,localCellnodeID,t,myCoords) do n = 1_pInt,Ncellnodes ! loop over cell nodes e = mesh_cellnodeParent(1,n) localCellnodeID = mesh_cellnodeParent(2,n) t = mesh_element(2,e) ! get element type myCoords = 0.0_pReal do m = 1_pInt,FE_Nnodes(t) myCoords = myCoords + nodes(1:3,mesh_element(4_pInt+m,e)) & * FE_cellnodeParentnodeWeights(m,localCellnodeID,t) enddo mesh_build_cellnodes(1:3,n) = myCoords / sum(FE_cellnodeParentnodeWeights(:,localCellnodeID,t)) enddo !$OMP END PARALLEL DO end function mesh_build_cellnodes !-------------------------------------------------------------------------------------------------- !> @brief Calculates IP volume. Allocates global array 'mesh_ipVolume' !> @details The IP volume is calculated differently depending on the cell type. !> 2D cells assume an element depth of one in order to calculate the volume. !> For the hexahedral cell we subdivide the cell into subvolumes of pyramidal !> shape with a cell face as basis and the central ip at the tip. This subvolume is !> calculated as an average of four tetrahedals with three corners on the cell face !> and one corner at the central ip. !-------------------------------------------------------------------------------------------------- subroutine mesh_build_ipVolumes use math, only: & math_volTetrahedron, & math_areaTriangle implicit none integer(pInt) :: e,t,g,c,i,m,f,n real(pReal), dimension(FE_maxNcellnodesPerCellface,FE_maxNcellfaces) :: subvolume allocate(mesh_ipVolume(mesh_maxNips,mesh_NcpElems),source=0.0_pReal) !$OMP PARALLEL DO PRIVATE(t,g,c,m,subvolume) do e = 1_pInt,mesh_NcpElems ! loop over cpElems t = mesh_element(2_pInt,e) ! get element type g = FE_geomtype(t) ! get geometry type c = FE_celltype(g) ! get cell type select case (c) case (1_pInt) ! 2D 3node forall (i = 1_pInt:FE_Nips(g)) & ! loop over ips=cells in this element mesh_ipVolume(i,e) = math_areaTriangle(mesh_cellnode(1:3,mesh_cell(1,i,e)), & mesh_cellnode(1:3,mesh_cell(2,i,e)), & mesh_cellnode(1:3,mesh_cell(3,i,e))) case (2_pInt) ! 2D 4node forall (i = 1_pInt:FE_Nips(g)) & ! loop over ips=cells in this element mesh_ipVolume(i,e) = math_areaTriangle(mesh_cellnode(1:3,mesh_cell(1,i,e)), & ! here we assume a planar shape, so division in two triangles suffices mesh_cellnode(1:3,mesh_cell(2,i,e)), & mesh_cellnode(1:3,mesh_cell(3,i,e))) & + math_areaTriangle(mesh_cellnode(1:3,mesh_cell(3,i,e)), & mesh_cellnode(1:3,mesh_cell(4,i,e)), & mesh_cellnode(1:3,mesh_cell(1,i,e))) case (3_pInt) ! 3D 4node forall (i = 1_pInt:FE_Nips(g)) & ! loop over ips=cells in this element mesh_ipVolume(i,e) = math_volTetrahedron(mesh_cellnode(1:3,mesh_cell(1,i,e)), & mesh_cellnode(1:3,mesh_cell(2,i,e)), & mesh_cellnode(1:3,mesh_cell(3,i,e)), & mesh_cellnode(1:3,mesh_cell(4,i,e))) case (4_pInt) ! 3D 8node m = FE_NcellnodesPerCellface(c) do i = 1_pInt,FE_Nips(g) ! loop over ips=cells in this element subvolume = 0.0_pReal forall(f = 1_pInt:FE_NipNeighbors(c), n = 1_pInt:FE_NcellnodesPerCellface(c)) & subvolume(n,f) = math_volTetrahedron(& mesh_cellnode(1:3,mesh_cell(FE_cellface( n ,f,c),i,e)), & mesh_cellnode(1:3,mesh_cell(FE_cellface(1+mod(n ,m),f,c),i,e)), & mesh_cellnode(1:3,mesh_cell(FE_cellface(1+mod(n+1,m),f,c),i,e)), & mesh_ipCoordinates(1:3,i,e)) mesh_ipVolume(i,e) = 0.5_pReal * sum(subvolume) ! each subvolume is based on four tetrahedrons, altough the face consists of only two triangles -> averaging factor two enddo end select enddo !$OMP END PARALLEL DO end subroutine mesh_build_ipVolumes !-------------------------------------------------------------------------------------------------- !> @brief Calculates IP Coordinates. Allocates global array 'mesh_ipCoordinates' ! Called by all solvers in mesh_init in order to initialize the ip coordinates. ! Later on the current ip coordinates are directly prvided by the spectral solver and by Abaqus, ! so no need to use this subroutine anymore; Marc however only provides nodal displacements, ! so in this case the ip coordinates are always calculated on the basis of this subroutine. ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! FOR THE MOMENT THIS SUBROUTINE ACTUALLY CALCULATES THE CELL CENTER AND NOT THE IP COORDINATES, ! AS THE IP IS NOT (ALWAYS) LOCATED IN THE CENTER OF THE IP VOLUME. ! HAS TO BE CHANGED IN A LATER VERSION. ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !-------------------------------------------------------------------------------------------------- subroutine mesh_build_ipCoordinates implicit none integer(pInt) :: e,t,g,c,i,n real(pReal), dimension(3) :: myCoords if (.not. allocated(mesh_ipCoordinates)) & allocate(mesh_ipCoordinates(3,mesh_maxNips,mesh_NcpElems),source=0.0_pReal) !$OMP PARALLEL DO PRIVATE(t,g,c,myCoords) do e = 1_pInt,mesh_NcpElems ! loop over cpElems t = mesh_element(2_pInt,e) ! get element type g = FE_geomtype(t) ! get geometry type c = FE_celltype(g) ! get cell type do i = 1_pInt,FE_Nips(g) ! loop over ips=cells in this element myCoords = 0.0_pReal do n = 1_pInt,FE_NcellnodesPerCell(c) ! loop over cell nodes in this cell myCoords = myCoords + mesh_cellnode(1:3,mesh_cell(n,i,e)) enddo mesh_ipCoordinates(1:3,i,e) = myCoords / real(FE_NcellnodesPerCell(c),pReal) enddo enddo !$OMP END PARALLEL DO end subroutine mesh_build_ipCoordinates !-------------------------------------------------------------------------------------------------- !> @brief Calculates cell center coordinates. !-------------------------------------------------------------------------------------------------- pure function mesh_cellCenterCoordinates(ip,el) implicit none integer(pInt), intent(in) :: el, & !< element number ip !< integration point number real(pReal), dimension(3) :: mesh_cellCenterCoordinates !< x,y,z coordinates of the cell center of the requested IP cell integer(pInt) :: t,g,c,n t = mesh_element(2_pInt,el) ! get element type g = FE_geomtype(t) ! get geometry type c = FE_celltype(g) ! get cell type mesh_cellCenterCoordinates = 0.0_pReal do n = 1_pInt,FE_NcellnodesPerCell(c) ! loop over cell nodes in this cell mesh_cellCenterCoordinates = mesh_cellCenterCoordinates + mesh_cellnode(1:3,mesh_cell(n,ip,el)) enddo mesh_cellCenterCoordinates = mesh_cellCenterCoordinates / real(FE_NcellnodesPerCell(c),pReal) end function mesh_cellCenterCoordinates !-------------------------------------------------------------------------------------------------- !> @brief Figures out version of Marc input file format and stores ist as MarcVersion !-------------------------------------------------------------------------------------------------- subroutine mesh_marc_get_fileFormat(fileUnit) use IO, only: & IO_lc, & IO_intValue, & IO_stringValue, & IO_stringPos implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), allocatable, dimension(:) :: chunkPos character(len=300) line 610 FORMAT(A300) rewind(fileUnit) do read (fileUnit,610,END=620) line chunkPos = IO_stringPos(line) if ( IO_lc(IO_stringValue(line,chunkPos,1_pInt)) == 'version') then MarcVersion = IO_intValue(line,chunkPos,2_pInt) exit endif enddo 620 end subroutine mesh_marc_get_fileFormat !-------------------------------------------------------------------------------------------------- !> @brief Figures out table styles (Marc only) and stores to 'initialcondTableStyle' and !! 'hypoelasticTableStyle' !-------------------------------------------------------------------------------------------------- subroutine mesh_marc_get_tableStyles(fileUnit) use IO, only: & IO_lc, & IO_intValue, & IO_stringValue, & IO_stringPos implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), allocatable, dimension(:) :: chunkPos character(len=300) line initialcondTableStyle = 0_pInt hypoelasticTableStyle = 0_pInt 610 FORMAT(A300) rewind(fileUnit) do read (fileUnit,610,END=620) line chunkPos = IO_stringPos(line) if ( IO_lc(IO_stringValue(line,chunkPos,1_pInt)) == 'table' .and. chunkPos(1_pInt) > 5) then initialcondTableStyle = IO_intValue(line,chunkPos,4_pInt) hypoelasticTableStyle = IO_intValue(line,chunkPos,5_pInt) exit endif enddo 620 end subroutine mesh_marc_get_tableStyles !-------------------------------------------------------------------------------------------------- !> @brief Figures out material number of hypoelastic material and stores it in Marc_matNumber array !-------------------------------------------------------------------------------------------------- subroutine mesh_marc_get_matNumber(fileUnit) use IO, only: & IO_lc, & IO_intValue, & IO_stringValue, & IO_stringPos implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), allocatable, dimension(:) :: chunkPos integer(pInt) :: i, j, data_blocks character(len=300) line 610 FORMAT(A300) rewind(fileUnit) data_blocks = 1_pInt do read (fileUnit,610,END=620) line chunkPos = IO_stringPos(line) if ( IO_lc(IO_stringValue(line,chunkPos,1_pInt)) == 'hypoelastic') then read (fileUnit,610,END=620) line if (len(trim(line))/=0_pInt) then chunkPos = IO_stringPos(line) data_blocks = IO_intValue(line,chunkPos,1_pInt) endif allocate(Marc_matNumber(data_blocks)) do i=1_pInt,data_blocks ! read all data blocks read (fileUnit,610,END=620) line chunkPos = IO_stringPos(line) Marc_matNumber(i) = IO_intValue(line,chunkPos,1_pInt) do j=1_pint,2_pInt + hypoelasticTableStyle ! read 2 or 3 remaining lines of data block read (fileUnit,610,END=620) line enddo enddo exit endif enddo 620 end subroutine mesh_marc_get_matNumber !-------------------------------------------------------------------------------------------------- !> @brief Count overall number of nodes and elements in mesh and stores the numbers in !! 'mesh_Nelems' and 'mesh_Nnodes' !-------------------------------------------------------------------------------------------------- subroutine mesh_marc_count_nodesAndElements(fileUnit) use IO, only: & IO_lc, & IO_stringValue, & IO_stringPos, & IO_IntValue implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), allocatable, dimension(:) :: chunkPos character(len=300) line mesh_Nnodes = 0_pInt mesh_Nelems = 0_pInt 610 FORMAT(A300) rewind(fileUnit) do read (fileUnit,610,END=620) line chunkPos = IO_stringPos(line) if ( IO_lc(IO_StringValue(line,chunkPos,1_pInt)) == 'sizing') & mesh_Nelems = IO_IntValue (line,chunkPos,3_pInt) if ( IO_lc(IO_StringValue(line,chunkPos,1_pInt)) == 'coordinates') then read (fileUnit,610,END=620) line chunkPos = IO_stringPos(line) mesh_Nnodes = IO_IntValue (line,chunkPos,2_pInt) exit ! assumes that "coordinates" comes later in file endif enddo 620 end subroutine mesh_marc_count_nodesAndElements !-------------------------------------------------------------------------------------------------- !> @brief Count overall number of element sets in mesh. Stores to 'mesh_NelemSets', and !! 'mesh_maxNelemInSet' !-------------------------------------------------------------------------------------------------- subroutine mesh_marc_count_elementSets(fileUnit) use IO, only: & IO_lc, & IO_stringValue, & IO_stringPos, & IO_countContinuousIntValues implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), allocatable, dimension(:) :: chunkPos character(len=300) line mesh_NelemSets = 0_pInt mesh_maxNelemInSet = 0_pInt 610 FORMAT(A300) rewind(fileUnit) do read (fileUnit,610,END=620) line chunkPos = IO_stringPos(line) if ( IO_lc(IO_StringValue(line,chunkPos,1_pInt)) == 'define' .and. & IO_lc(IO_StringValue(line,chunkPos,2_pInt)) == 'element' ) then mesh_NelemSets = mesh_NelemSets + 1_pInt mesh_maxNelemInSet = max(mesh_maxNelemInSet, & IO_countContinuousIntValues(fileUnit)) endif enddo 620 end subroutine mesh_marc_count_elementSets !******************************************************************** ! map element sets ! ! allocate globals: mesh_nameElemSet, mesh_mapElemSet !******************************************************************** subroutine mesh_marc_map_elementSets(fileUnit) use IO, only: IO_lc, & IO_stringValue, & IO_stringPos, & IO_continuousIntValues implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), allocatable, dimension(:) :: chunkPos character(len=300) :: line integer(pInt) :: elemSet = 0_pInt allocate (mesh_nameElemSet(mesh_NelemSets)); mesh_nameElemSet = '' allocate (mesh_mapElemSet(1_pInt+mesh_maxNelemInSet,mesh_NelemSets), source=0_pInt) 610 FORMAT(A300) rewind(fileUnit) do read (fileUnit,610,END=640) line chunkPos = IO_stringPos(line) if( (IO_lc(IO_stringValue(line,chunkPos,1_pInt)) == 'define' ) .and. & (IO_lc(IO_stringValue(line,chunkPos,2_pInt)) == 'element' ) ) then elemSet = elemSet+1_pInt mesh_nameElemSet(elemSet) = trim(IO_stringValue(line,chunkPos,4_pInt)) mesh_mapElemSet(:,elemSet) = & IO_continuousIntValues(fileUnit,mesh_maxNelemInSet,mesh_nameElemSet,mesh_mapElemSet,mesh_NelemSets) endif enddo 640 end subroutine mesh_marc_map_elementSets !-------------------------------------------------------------------------------------------------- !> @brief Count overall number of CP elements in mesh and stores them in 'mesh_NcpElems' !-------------------------------------------------------------------------------------------------- subroutine mesh_marc_count_cpElements(fileUnit) use IO, only: IO_lc, & IO_stringValue, & IO_stringPos, & IO_countContinuousIntValues, & IO_error, & IO_intValue, & IO_countNumericalDataLines implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), allocatable, dimension(:) :: chunkPos integer(pInt) :: i character(len=300):: line mesh_NcpElems = 0_pInt 610 FORMAT(A300) rewind(fileUnit) if (MarcVersion < 13) then ! Marc 2016 or earlier do read (fileUnit,610,END=620) line chunkPos = IO_stringPos(line) if ( IO_lc(IO_stringValue(line,chunkPos,1_pInt)) == 'hypoelastic') then do i=1_pInt,3_pInt+hypoelasticTableStyle ! Skip 3 or 4 lines read (fileUnit,610,END=620) line enddo mesh_NcpElems = mesh_NcpElems + IO_countContinuousIntValues(fileUnit) ! why not simply mesh_NcpElems = IO_countContinuousIntValues(fileUnit)? not fully correct as hypoelastic can have multiple data fields, needs update exit endif enddo else ! Marc2017 and later do read (fileUnit,610,END=620) line chunkPos = IO_stringPos(line) if ( IO_lc(IO_stringValue(line,chunkPos,1_pInt)) == 'connectivity') then read (fileUnit,610,END=620) line chunkPos = IO_stringPos(line) if (any(Marc_matNumber==IO_intValue(line,chunkPos,6_pInt))) then mesh_NcpElems = mesh_NcpElems + IO_countNumericalDataLines(fileUnit) endif endif enddo end if 620 end subroutine mesh_marc_count_cpElements !-------------------------------------------------------------------------------------------------- !> @brief Maps elements from FE ID to internal (consecutive) representation. !! Allocates global array 'mesh_mapFEtoCPelem' !-------------------------------------------------------------------------------------------------- subroutine mesh_marc_map_elements(fileUnit) use math, only: math_qsort use IO, only: IO_lc, & IO_intValue, & IO_stringValue, & IO_stringPos, & IO_continuousIntValues implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), allocatable, dimension(:) :: chunkPos character(len=300) :: line, & tmp integer(pInt), dimension (1_pInt+mesh_NcpElems) :: contInts integer(pInt) :: i,cpElem = 0_pInt allocate (mesh_mapFEtoCPelem(2,mesh_NcpElems), source = 0_pInt) 610 FORMAT(A300) contInts = 0_pInt rewind(fileUnit) do read (fileUnit,610,END=660) line chunkPos = IO_stringPos(line) if (MarcVersion < 13) then ! Marc 2016 or earlier if( IO_lc(IO_stringValue(line,chunkPos,1_pInt)) == 'hypoelastic' ) then do i=1_pInt,3_pInt+hypoelasticTableStyle ! skip three (or four if new table style!) lines read (fileUnit,610,END=660) line enddo contInts = IO_continuousIntValues(fileUnit,mesh_NcpElems,mesh_nameElemSet,& mesh_mapElemSet,mesh_NelemSets) exit endif else ! Marc2017 and later if ( IO_lc(IO_stringValue(line,chunkPos,1_pInt)) == 'connectivity') then read (fileUnit,610,END=660) line chunkPos = IO_stringPos(line) if(any(Marc_matNumber==IO_intValue(line,chunkPos,6_pInt))) then do read (fileUnit,610,END=660) line chunkPos = IO_stringPos(line) tmp = IO_lc(IO_stringValue(line,chunkPos,1_pInt)) if (verify(trim(tmp),"0123456789")/=0) then ! found keyword exit else contInts(1) = contInts(1) + 1_pInt read (tmp,*) contInts(contInts(1)+1) endif enddo endif endif endif enddo 660 do i = 1_pInt,contInts(1) cpElem = cpElem+1_pInt mesh_mapFEtoCPelem(1,cpElem) = contInts(1_pInt+i) mesh_mapFEtoCPelem(2,cpElem) = cpElem enddo call math_qsort(mesh_mapFEtoCPelem,1_pInt,int(size(mesh_mapFEtoCPelem,2_pInt),pInt)) ! should be mesh_NcpElems end subroutine mesh_marc_map_elements !-------------------------------------------------------------------------------------------------- !> @brief Maps node from FE ID to internal (consecutive) representation. !! Allocates global array 'mesh_mapFEtoCPnode' !-------------------------------------------------------------------------------------------------- subroutine mesh_marc_map_nodes(fileUnit) use math, only: math_qsort use IO, only: IO_lc, & IO_stringValue, & IO_stringPos, & IO_fixedIntValue implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), allocatable, dimension(:) :: chunkPos character(len=300) line integer(pInt), dimension (mesh_Nnodes) :: node_count integer(pInt) :: i allocate (mesh_mapFEtoCPnode(2_pInt,mesh_Nnodes),source=0_pInt) 610 FORMAT(A300) node_count = 0_pInt rewind(fileUnit) do read (fileUnit,610,END=650) line chunkPos = IO_stringPos(line) if( IO_lc(IO_stringValue(line,chunkPos,1_pInt)) == 'coordinates' ) then read (fileUnit,610,END=650) line ! skip crap line do i = 1_pInt,mesh_Nnodes read (fileUnit,610,END=650) line mesh_mapFEtoCPnode(1_pInt,i) = IO_fixedIntValue (line,[ 0_pInt,10_pInt],1_pInt) mesh_mapFEtoCPnode(2_pInt,i) = i enddo exit endif enddo 650 call math_qsort(mesh_mapFEtoCPnode,1_pInt,int(size(mesh_mapFEtoCPnode,2_pInt),pInt)) end subroutine mesh_marc_map_nodes !-------------------------------------------------------------------------------------------------- !> @brief store x,y,z coordinates of all nodes in mesh. !! Allocates global arrays 'mesh_node0' and 'mesh_node' !-------------------------------------------------------------------------------------------------- subroutine mesh_marc_build_nodes(fileUnit) use IO, only: & IO_lc, & IO_stringValue, & IO_stringPos, & IO_fixedIntValue, & IO_fixedNoEFloatValue implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), dimension(5), parameter :: node_ends = int([0,10,30,50,70],pInt) integer(pInt), allocatable, dimension(:) :: chunkPos character(len=300) :: line integer(pInt) :: i,j,m allocate ( mesh_node0 (3,mesh_Nnodes), source=0.0_pReal) allocate ( mesh_node (3,mesh_Nnodes), source=0.0_pReal) 610 FORMAT(A300) rewind(fileUnit) do read (fileUnit,610,END=670) line chunkPos = IO_stringPos(line) if( IO_lc(IO_stringValue(line,chunkPos,1_pInt)) == 'coordinates' ) then read (fileUnit,610,END=670) line ! skip crap line do i=1_pInt,mesh_Nnodes read (fileUnit,610,END=670) line m = mesh_FEasCP('node',IO_fixedIntValue(line,node_ends,1_pInt)) do j = 1_pInt,3_pInt mesh_node0(j,m) = mesh_unitlength * IO_fixedNoEFloatValue(line,node_ends,j+1_pInt) enddo enddo exit endif enddo 670 mesh_node = mesh_node0 end subroutine mesh_marc_build_nodes !-------------------------------------------------------------------------------------------------- !> @brief Gets maximum count of nodes, IPs, IP neighbors, and cellnodes among cpElements. !! Sets global values 'mesh_maxNnodes', 'mesh_maxNips', 'mesh_maxNipNeighbors', !! and 'mesh_maxNcellnodes' !-------------------------------------------------------------------------------------------------- subroutine mesh_marc_count_cpSizes(fileUnit) use IO, only: IO_lc, & IO_stringValue, & IO_stringPos, & IO_intValue, & IO_skipChunks implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), allocatable, dimension(:) :: chunkPos character(len=300) :: line integer(pInt) :: i,t,g,e,c mesh_maxNnodes = 0_pInt mesh_maxNips = 0_pInt mesh_maxNipNeighbors = 0_pInt mesh_maxNcellnodes = 0_pInt 610 FORMAT(A300) rewind(fileUnit) do read (fileUnit,610,END=630) line chunkPos = IO_stringPos(line) if( IO_lc(IO_stringValue(line,chunkPos,1_pInt)) == 'connectivity' ) then read (fileUnit,610,END=630) line ! Garbage line do i=1_pInt,mesh_Nelems ! read all elements read (fileUnit,610,END=630) line chunkPos = IO_stringPos(line) ! limit to id and type e = mesh_FEasCP('elem',IO_intValue(line,chunkPos,1_pInt)) if (e /= 0_pInt) then t = FE_mapElemtype(IO_stringValue(line,chunkPos,2_pInt)) g = FE_geomtype(t) c = FE_celltype(g) mesh_maxNnodes = max(mesh_maxNnodes,FE_Nnodes(t)) mesh_maxNips = max(mesh_maxNips,FE_Nips(g)) mesh_maxNipNeighbors = max(mesh_maxNipNeighbors,FE_NipNeighbors(c)) mesh_maxNcellnodes = max(mesh_maxNcellnodes,FE_Ncellnodes(g)) call IO_skipChunks(fileUnit,FE_Nnodes(t)-(chunkPos(1_pInt)-2_pInt)) ! read on if FE_Nnodes exceeds node count present on current line endif enddo exit endif enddo 630 end subroutine mesh_marc_count_cpSizes !-------------------------------------------------------------------------------------------------- !> @brief Store FEid, type, mat, tex, and node list per element. !! Allocates global array 'mesh_element' !-------------------------------------------------------------------------------------------------- subroutine mesh_marc_build_elements(fileUnit) use IO, only: IO_lc, & IO_stringValue, & IO_fixedNoEFloatValue, & IO_skipChunks, & IO_stringPos, & IO_intValue, & IO_continuousIntValues, & IO_error implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), allocatable, dimension(:) :: chunkPos character(len=300) line integer(pInt), dimension(1_pInt+mesh_NcpElems) :: contInts integer(pInt) :: i,j,t,sv,myVal,e,nNodesAlreadyRead allocate(mesh_element(4_pInt+mesh_maxNnodes,mesh_NcpElems), source=0_pInt) mesh_elemType = -1_pInt 610 FORMAT(A300) rewind(fileUnit) do read (fileUnit,610,END=620) line chunkPos = IO_stringPos(line) if( IO_lc(IO_stringValue(line,chunkPos,1_pInt)) == 'connectivity' ) then read (fileUnit,610,END=620) line ! garbage line do i = 1_pInt,mesh_Nelems read (fileUnit,610,END=620) line chunkPos = IO_stringPos(line) e = mesh_FEasCP('elem',IO_intValue(line,chunkPos,1_pInt)) if (e /= 0_pInt) then ! disregard non CP elems mesh_element(1,e) = -1_pInt ! DEPRECATED t = FE_mapElemtype(IO_StringValue(line,chunkPos,2_pInt)) ! elem type if (mesh_elemType /= t .and. mesh_elemType /= -1_pInt) & call IO_error(191,el=t,ip=mesh_elemType) mesh_elemType = t mesh_element(2,e) = t nNodesAlreadyRead = 0_pInt do j = 1_pInt,chunkPos(1)-2_pInt mesh_element(4_pInt+j,e) = mesh_FEasCP('node',IO_IntValue(line,chunkPos,j+2_pInt)) ! CP ids of nodes enddo nNodesAlreadyRead = chunkPos(1) - 2_pInt do while(nNodesAlreadyRead < FE_Nnodes(t)) ! read on if not all nodes in one line read (fileUnit,610,END=620) line chunkPos = IO_stringPos(line) do j = 1_pInt,chunkPos(1) mesh_element(4_pInt+nNodesAlreadyRead+j,e) & = mesh_FEasCP('node',IO_IntValue(line,chunkPos,j)) ! CP ids of nodes enddo nNodesAlreadyRead = nNodesAlreadyRead + chunkPos(1) enddo endif enddo exit endif enddo 620 rewind(fileUnit) ! just in case "initial state" appears before "connectivity" read (fileUnit,610,END=620) line do chunkPos = IO_stringPos(line) if( (IO_lc(IO_stringValue(line,chunkPos,1_pInt)) == 'initial') .and. & (IO_lc(IO_stringValue(line,chunkPos,2_pInt)) == 'state') ) then if (initialcondTableStyle == 2_pInt) read (fileUnit,610,END=620) line ! read extra line for new style read (fileUnit,610,END=630) line ! read line with index of state var chunkPos = IO_stringPos(line) sv = IO_IntValue(line,chunkPos,1_pInt) ! figure state variable index if( (sv == 2_pInt).or.(sv == 3_pInt) ) then ! only state vars 2 and 3 of interest read (fileUnit,610,END=620) line ! read line with value of state var chunkPos = IO_stringPos(line) do while (scan(IO_stringValue(line,chunkPos,1_pInt),'+-',back=.true.)>1) ! is noEfloat value? myVal = nint(IO_fixedNoEFloatValue(line,[0_pInt,20_pInt],1_pInt),pInt) ! state var's value if (initialcondTableStyle == 2_pInt) then read (fileUnit,610,END=630) line ! read extra line read (fileUnit,610,END=630) line ! read extra line endif contInts = IO_continuousIntValues& ! get affected elements (fileUnit,mesh_NcpElems,mesh_nameElemSet,mesh_mapElemSet,mesh_NelemSets) do i = 1_pInt,contInts(1) e = mesh_FEasCP('elem',contInts(1_pInt+i)) mesh_element(1_pInt+sv,e) = myVal enddo if (initialcondTableStyle == 0_pInt) read (fileUnit,610,END=620) line ! ignore IP range for old table style read (fileUnit,610,END=630) line chunkPos = IO_stringPos(line) enddo endif else read (fileUnit,610,END=630) line endif enddo 630 end subroutine mesh_marc_build_elements !-------------------------------------------------------------------------------------------------- !> @brief get any additional damask options from input file, sets mesh_periodicSurface !-------------------------------------------------------------------------------------------------- subroutine mesh_get_damaskOptions(fileUnit) use IO, only: & IO_lc, & IO_stringValue, & IO_stringPos implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), allocatable, dimension(:) :: chunkPos integer(pInt) chunk, Nchunks character(len=300) :: line, damaskOption, v character(len=300) :: keyword mesh_periodicSurface = .false. keyword = '$damask' rewind(fileUnit) do read (fileUnit,610,END=620) line chunkPos = IO_stringPos(line) Nchunks = chunkPos(1) if (IO_lc(IO_stringValue(line,chunkPos,1_pInt)) == keyword .and. Nchunks > 1_pInt) then ! found keyword for damask option and there is at least one more chunk to read damaskOption = IO_lc(IO_stringValue(line,chunkPos,2_pInt)) select case(damaskOption) case('periodic') ! damask Option that allows to specify periodic fluxes do chunk = 3_pInt,Nchunks ! loop through chunks (skipping the keyword) v = IO_lc(IO_stringValue(line,chunkPos,chunk)) ! chunk matches keyvalues x,y, or z? mesh_periodicSurface(1) = mesh_periodicSurface(1) .or. v == 'x' mesh_periodicSurface(2) = mesh_periodicSurface(2) .or. v == 'y' mesh_periodicSurface(3) = mesh_periodicSurface(3) .or. v == 'z' enddo endselect endif enddo 610 FORMAT(A300) 620 end subroutine mesh_get_damaskOptions !-------------------------------------------------------------------------------------------------- !> @brief calculation of IP interface areas, allocate globals '_ipArea', and '_ipAreaNormal' !-------------------------------------------------------------------------------------------------- subroutine mesh_build_ipAreas use math, only: & math_crossproduct implicit none integer(pInt) :: e,t,g,c,i,f,n,m real(pReal), dimension (3,FE_maxNcellnodesPerCellface) :: nodePos, normals real(pReal), dimension(3) :: normal allocate(mesh_ipArea(mesh_maxNipNeighbors,mesh_maxNips,mesh_NcpElems), source=0.0_pReal) allocate(mesh_ipAreaNormal(3_pInt,mesh_maxNipNeighbors,mesh_maxNips,mesh_NcpElems), source=0.0_pReal) !$OMP PARALLEL DO PRIVATE(t,g,c,nodePos,normal,normals) do e = 1_pInt,mesh_NcpElems ! loop over cpElems t = mesh_element(2_pInt,e) ! get element type g = FE_geomtype(t) ! get geometry type c = FE_celltype(g) ! get cell type select case (c) case (1_pInt,2_pInt) ! 2D 3 or 4 node do i = 1_pInt,FE_Nips(g) ! loop over ips=cells in this element do f = 1_pInt,FE_NipNeighbors(c) ! loop over cell faces forall(n = 1_pInt:FE_NcellnodesPerCellface(c)) & nodePos(1:3,n) = mesh_cellnode(1:3,mesh_cell(FE_cellface(n,f,c),i,e)) normal(1) = nodePos(2,2) - nodePos(2,1) ! x_normal = y_connectingVector normal(2) = -(nodePos(1,2) - nodePos(1,1)) ! y_normal = -x_connectingVector normal(3) = 0.0_pReal mesh_ipArea(f,i,e) = norm2(normal) mesh_ipAreaNormal(1:3,f,i,e) = normal / norm2(normal) ! ensure unit length of area normal enddo enddo case (3_pInt) ! 3D 4node do i = 1_pInt,FE_Nips(g) ! loop over ips=cells in this element do f = 1_pInt,FE_NipNeighbors(c) ! loop over cell faces forall(n = 1_pInt:FE_NcellnodesPerCellface(c)) & nodePos(1:3,n) = mesh_cellnode(1:3,mesh_cell(FE_cellface(n,f,c),i,e)) normal = math_crossproduct(nodePos(1:3,2) - nodePos(1:3,1), & nodePos(1:3,3) - nodePos(1:3,1)) mesh_ipArea(f,i,e) = norm2(normal) mesh_ipAreaNormal(1:3,f,i,e) = normal / norm2(normal) ! ensure unit length of area normal enddo enddo case (4_pInt) ! 3D 8node ! for this cell type we get the normal of the quadrilateral face as an average of ! four normals of triangular subfaces; since the face consists only of two triangles, ! the sum has to be divided by two; this whole prcedure tries to compensate for ! probable non-planar cell surfaces m = FE_NcellnodesPerCellface(c) do i = 1_pInt,FE_Nips(g) ! loop over ips=cells in this element do f = 1_pInt,FE_NipNeighbors(c) ! loop over cell faces forall(n = 1_pInt:FE_NcellnodesPerCellface(c)) & nodePos(1:3,n) = mesh_cellnode(1:3,mesh_cell(FE_cellface(n,f,c),i,e)) forall(n = 1_pInt:FE_NcellnodesPerCellface(c)) & normals(1:3,n) = 0.5_pReal & * math_crossproduct(nodePos(1:3,1+mod(n ,m)) - nodePos(1:3,n), & nodePos(1:3,1+mod(n+1,m)) - nodePos(1:3,n)) normal = 0.5_pReal * sum(normals,2) mesh_ipArea(f,i,e) = norm2(normal) mesh_ipAreaNormal(1:3,f,i,e) = normal / norm2(normal) enddo enddo end select enddo !$OMP END PARALLEL DO end subroutine mesh_build_ipAreas !-------------------------------------------------------------------------------------------------- !> @brief assignment of twin nodes for each cp node, allocate globals '_nodeTwins' !-------------------------------------------------------------------------------------------------- subroutine mesh_build_nodeTwins implicit none integer(pInt) dir, & ! direction of periodicity node, & minimumNode, & maximumNode, & n1, & n2 integer(pInt), dimension(mesh_Nnodes+1) :: minimumNodes, maximumNodes ! list of surface nodes (minimum and maximum coordinate value) with first entry giving the number of nodes real(pReal) minCoord, maxCoord, & ! extreme positions in one dimension tolerance ! tolerance below which positions are assumed identical real(pReal), dimension(3) :: distance ! distance between two nodes in all three coordinates logical, dimension(mesh_Nnodes) :: unpaired allocate(mesh_nodeTwins(3,mesh_Nnodes)) mesh_nodeTwins = 0_pInt tolerance = 0.001_pReal * minval(mesh_ipVolume) ** 0.333_pReal do dir = 1_pInt,3_pInt ! check periodicity in directions of x,y,z if (mesh_periodicSurface(dir)) then ! only if periodicity is requested !*** find out which nodes sit on the surface !*** and have a minimum or maximum position in this dimension minimumNodes = 0_pInt maximumNodes = 0_pInt minCoord = minval(mesh_node0(dir,:)) maxCoord = maxval(mesh_node0(dir,:)) do node = 1_pInt,mesh_Nnodes ! loop through all nodes and find surface nodes if (abs(mesh_node0(dir,node) - minCoord) <= tolerance) then minimumNodes(1) = minimumNodes(1) + 1_pInt minimumNodes(minimumNodes(1)+1_pInt) = node elseif (abs(mesh_node0(dir,node) - maxCoord) <= tolerance) then maximumNodes(1) = maximumNodes(1) + 1_pInt maximumNodes(maximumNodes(1)+1_pInt) = node endif enddo !*** find the corresponding node on the other side with the same position in this dimension unpaired = .true. do n1 = 1_pInt,minimumNodes(1) minimumNode = minimumNodes(n1+1_pInt) if (unpaired(minimumNode)) then do n2 = 1_pInt,maximumNodes(1) maximumNode = maximumNodes(n2+1_pInt) distance = abs(mesh_node0(:,minimumNode) - mesh_node0(:,maximumNode)) if (sum(distance) - distance(dir) <= tolerance) then ! minimum possible distance (within tolerance) mesh_nodeTwins(dir,minimumNode) = maximumNode mesh_nodeTwins(dir,maximumNode) = minimumNode unpaired(maximumNode) = .false. ! remember this node, we don't have to look for his partner again exit endif enddo endif enddo endif enddo end subroutine mesh_build_nodeTwins !-------------------------------------------------------------------------------------------------- !> @brief get maximum count of shared elements among cpElements and build list of elements shared !! by each node in mesh. Allocate globals '_maxNsharedElems' and '_sharedElem' !-------------------------------------------------------------------------------------------------- subroutine mesh_build_sharedElems implicit none integer(pint) e, & ! element index g, & ! element type node, & ! CP node index n, & ! node index per element myDim, & ! dimension index nodeTwin ! node twin in the specified dimension integer(pInt), dimension (mesh_Nnodes) :: node_count integer(pInt), dimension(:), allocatable :: node_seen allocate(node_seen(maxval(FE_NmatchingNodes))) node_count = 0_pInt do e = 1_pInt,mesh_NcpElems g = FE_geomtype(mesh_element(2,e)) ! get elemGeomType node_seen = 0_pInt ! reset node duplicates do n = 1_pInt,FE_NmatchingNodes(g) ! check each node of element node = mesh_element(4+n,e) if (all(node_seen /= node)) then node_count(node) = node_count(node) + 1_pInt ! if FE node not yet encountered -> count it do myDim = 1_pInt,3_pInt ! check in each dimension... nodeTwin = mesh_nodeTwins(myDim,node) if (nodeTwin > 0_pInt) & ! if I am a twin of some node... node_count(nodeTwin) = node_count(nodeTwin) + 1_pInt ! -> count me again for the twin node enddo endif node_seen(n) = node ! remember this node to be counted already enddo enddo mesh_maxNsharedElems = int(maxval(node_count),pInt) ! most shared node allocate(mesh_sharedElem(1+mesh_maxNsharedElems,mesh_Nnodes),source=0_pInt) do e = 1_pInt,mesh_NcpElems g = FE_geomtype(mesh_element(2,e)) ! get elemGeomType node_seen = 0_pInt do n = 1_pInt,FE_NmatchingNodes(g) node = mesh_element(4_pInt+n,e) if (all(node_seen /= node)) then mesh_sharedElem(1,node) = mesh_sharedElem(1,node) + 1_pInt ! count for each node the connected elements mesh_sharedElem(mesh_sharedElem(1,node)+1_pInt,node) = e ! store the respective element id do myDim = 1_pInt,3_pInt ! check in each dimension... nodeTwin = mesh_nodeTwins(myDim,node) if (nodeTwin > 0_pInt) then ! if i am a twin of some node... mesh_sharedElem(1,nodeTwin) = mesh_sharedElem(1,nodeTwin) + 1_pInt ! ...count me again for the twin mesh_sharedElem(mesh_sharedElem(1,nodeTwin)+1,nodeTwin) = e ! store the respective element id endif enddo endif node_seen(n) = node enddo enddo end subroutine mesh_build_sharedElems !-------------------------------------------------------------------------------------------------- !> @brief build up of IP neighborhood, allocate globals '_ipNeighborhood' !-------------------------------------------------------------------------------------------------- subroutine mesh_build_ipNeighborhood use math, only: & math_mul3x3 implicit none integer(pInt) :: myElem, & ! my CP element index myIP, & myType, & ! my element type myFace, & neighbor, & ! neighor index neighboringIPkey, & ! positive integer indicating the neighboring IP (for intra-element) and negative integer indicating the face towards neighbor (for neighboring element) candidateIP, & neighboringType, & ! element type of neighbor NlinkedNodes, & ! number of linked nodes twin_of_linkedNode, & ! node twin of a specific linkedNode NmatchingNodes, & ! number of matching nodes dir, & ! direction of periodicity matchingElem, & ! CP elem number of matching element matchingFace, & ! face ID of matching element a, anchor, & neighboringIP, & neighboringElem, & pointingToMe integer(pInt), dimension(FE_maxmaxNnodesAtIP) :: & linkedNodes = 0_pInt, & matchingNodes logical checkTwins allocate(mesh_ipNeighborhood(3,mesh_maxNipNeighbors,mesh_maxNips,mesh_NcpElems)) mesh_ipNeighborhood = 0_pInt do myElem = 1_pInt,mesh_NcpElems ! loop over cpElems myType = FE_geomtype(mesh_element(2,myElem)) ! get elemGeomType do myIP = 1_pInt,FE_Nips(myType) ! loop over IPs of elem do neighbor = 1_pInt,FE_NipNeighbors(FE_celltype(myType)) ! loop over neighbors of IP neighboringIPkey = FE_ipNeighbor(neighbor,myIP,myType) !*** if the key is positive, the neighbor is inside the element !*** that means, we have already found our neighboring IP if (neighboringIPkey > 0_pInt) then mesh_ipNeighborhood(1,neighbor,myIP,myElem) = myElem mesh_ipNeighborhood(2,neighbor,myIP,myElem) = neighboringIPkey !*** if the key is negative, the neighbor resides in a neighboring element !*** that means, we have to look through the face indicated by the key and see which element is behind that face elseif (neighboringIPkey < 0_pInt) then ! neighboring element's IP myFace = -neighboringIPkey call mesh_faceMatch(myElem, myFace, matchingElem, matchingFace) ! get face and CP elem id of face match if (matchingElem > 0_pInt) then ! found match? neighboringType = FE_geomtype(mesh_element(2,matchingElem)) !*** trivial solution if neighbor has only one IP if (FE_Nips(neighboringType) == 1_pInt) then mesh_ipNeighborhood(1,neighbor,myIP,myElem) = matchingElem mesh_ipNeighborhood(2,neighbor,myIP,myElem) = 1_pInt cycle endif !*** find those nodes which build the link to the neighbor NlinkedNodes = 0_pInt linkedNodes = 0_pInt do a = 1_pInt,FE_maxNnodesAtIP(myType) ! figure my anchor nodes on connecting face anchor = FE_nodesAtIP(a,myIP,myType) if (anchor /= 0_pInt) then ! valid anchor node if (any(FE_face(:,myFace,myType) == anchor)) then ! ip anchor sits on face? NlinkedNodes = NlinkedNodes + 1_pInt linkedNodes(NlinkedNodes) = mesh_element(4_pInt+anchor,myElem) ! CP id of anchor node else ! something went wrong with the linkage, since not all anchors sit on my face NlinkedNodes = 0_pInt linkedNodes = 0_pInt exit endif endif enddo !*** loop through the ips of my neighbor !*** and try to find an ip with matching nodes !*** also try to match with node twins checkCandidateIP: do candidateIP = 1_pInt,FE_Nips(neighboringType) NmatchingNodes = 0_pInt matchingNodes = 0_pInt do a = 1_pInt,FE_maxNnodesAtIP(neighboringType) ! check each anchor node of that ip anchor = FE_nodesAtIP(a,candidateIP,neighboringType) if (anchor /= 0_pInt) then ! valid anchor node if (any(FE_face(:,matchingFace,neighboringType) == anchor)) then ! sits on matching face? NmatchingNodes = NmatchingNodes + 1_pInt matchingNodes(NmatchingNodes) = mesh_element(4+anchor,matchingElem) ! CP id of neighbor's anchor node else ! no matching, because not all nodes sit on the matching face NmatchingNodes = 0_pInt matchingNodes = 0_pInt exit endif endif enddo if (NmatchingNodes /= NlinkedNodes) & ! this ip has wrong count of anchors on face cycle checkCandidateIP !*** check "normal" nodes whether they match or not checkTwins = .false. do a = 1_pInt,NlinkedNodes if (all(matchingNodes /= linkedNodes(a))) then ! this linkedNode does not match any matchingNode checkTwins = .true. exit ! no need to search further endif enddo !*** if no match found, then also check node twins if(checkTwins) then dir = int(maxloc(abs(mesh_ipAreaNormal(1:3,neighbor,myIP,myElem)),1),pInt) ! check for twins only in direction of the surface normal do a = 1_pInt,NlinkedNodes twin_of_linkedNode = mesh_nodeTwins(dir,linkedNodes(a)) if (twin_of_linkedNode == 0_pInt .or. & ! twin of linkedNode does not exist... all(matchingNodes /= twin_of_linkedNode)) then ! ... or it does not match any matchingNode cycle checkCandidateIP ! ... then check next candidateIP endif enddo endif !*** we found a match !!! mesh_ipNeighborhood(1,neighbor,myIP,myElem) = matchingElem mesh_ipNeighborhood(2,neighbor,myIP,myElem) = candidateIP exit checkCandidateIP enddo checkCandidateIP endif ! end of valid external matching endif ! end of internal/external matching enddo enddo enddo do myElem = 1_pInt,mesh_NcpElems ! loop over cpElems myType = FE_geomtype(mesh_element(2,myElem)) ! get elemGeomType do myIP = 1_pInt,FE_Nips(myType) ! loop over IPs of elem do neighbor = 1_pInt,FE_NipNeighbors(FE_celltype(myType)) ! loop over neighbors of IP neighboringElem = mesh_ipNeighborhood(1,neighbor,myIP,myElem) neighboringIP = mesh_ipNeighborhood(2,neighbor,myIP,myElem) if (neighboringElem > 0_pInt .and. neighboringIP > 0_pInt) then ! if neighbor exists ... neighboringType = FE_geomtype(mesh_element(2,neighboringElem)) do pointingToMe = 1_pInt,FE_NipNeighbors(FE_celltype(neighboringType)) ! find neighboring index that points from my neighbor to myself if ( myElem == mesh_ipNeighborhood(1,pointingToMe,neighboringIP,neighboringElem) & .and. myIP == mesh_ipNeighborhood(2,pointingToMe,neighboringIP,neighboringElem)) then ! possible candidate if (math_mul3x3(mesh_ipAreaNormal(1:3,neighbor,myIP,myElem),& mesh_ipAreaNormal(1:3,pointingToMe,neighboringIP,neighboringElem)) < 0.0_pReal) then ! area normals have opposite orientation (we have to check that because of special case for single element with two ips and periodicity. In this case the neighbor is identical in two different directions.) mesh_ipNeighborhood(3,neighbor,myIP,myElem) = pointingToMe ! found match exit ! so no need to search further endif endif enddo endif enddo enddo enddo end subroutine mesh_build_ipNeighborhood !-------------------------------------------------------------------------------------------------- !> @brief mapping of FE element types to internal representation !-------------------------------------------------------------------------------------------------- integer(pInt) function FE_mapElemtype(what) use IO, only: IO_lc, IO_error implicit none character(len=*), intent(in) :: what select case (IO_lc(what)) case ( '6') FE_mapElemtype = 1_pInt ! Two-dimensional Plane Strain Triangle case ( '155', & '125', & '128') FE_mapElemtype = 2_pInt ! Two-dimensional Plane Strain triangle (155: cubic shape function, 125/128: second order isoparametric) case ( '11') FE_mapElemtype = 3_pInt ! Arbitrary Quadrilateral Plane-strain case ( '27') FE_mapElemtype = 4_pInt ! Plane Strain, Eight-node Distorted Quadrilateral case ( '54') FE_mapElemtype = 5_pInt ! Plane Strain, Eight-node Distorted Quadrilateral with reduced integration case ( '134') FE_mapElemtype = 6_pInt ! Three-dimensional Four-node Tetrahedron case ( '157') FE_mapElemtype = 7_pInt ! Three-dimensional, Low-order, Tetrahedron, Herrmann Formulations case ( '127') FE_mapElemtype = 8_pInt ! Three-dimensional Ten-node Tetrahedron case ( '136') FE_mapElemtype = 9_pInt ! Three-dimensional Arbitrarily Distorted Pentahedral case ( '117', & '123') FE_mapElemtype = 10_pInt ! Three-dimensional Arbitrarily Distorted linear hexahedral with reduced integration case ( '7') FE_mapElemtype = 11_pInt ! Three-dimensional Arbitrarily Distorted Brick case ( '57') FE_mapElemtype = 12_pInt ! Three-dimensional Arbitrarily Distorted quad hexahedral with reduced integration case ( '21') FE_mapElemtype = 13_pInt ! Three-dimensional Arbitrarily Distorted quadratic hexahedral case default call IO_error(error_ID=190_pInt,ext_msg=IO_lc(what)) end select end function FE_mapElemtype !-------------------------------------------------------------------------------------------------- !> @brief find face-matching element of same type !-------------------------------------------------------------------------------------------------- subroutine mesh_faceMatch(elem, face ,matchingElem, matchingFace) implicit none integer(pInt), intent(out) :: matchingElem, & ! matching CP element ID matchingFace ! matching face ID integer(pInt), intent(in) :: face, & ! face ID elem ! CP elem ID integer(pInt), dimension(FE_NmatchingNodesPerFace(face,FE_geomtype(mesh_element(2,elem)))) :: & myFaceNodes ! global node ids on my face integer(pInt) :: myType, & candidateType, & candidateElem, & candidateFace, & candidateFaceNode, & minNsharedElems, & NsharedElems, & lonelyNode = 0_pInt, & i, & n, & dir ! periodicity direction integer(pInt), dimension(:), allocatable :: element_seen logical checkTwins matchingElem = 0_pInt matchingFace = 0_pInt minNsharedElems = mesh_maxNsharedElems + 1_pInt ! init to worst case myType = FE_geomtype(mesh_element(2_pInt,elem)) ! figure elemGeomType do n = 1_pInt,FE_NmatchingNodesPerFace(face,myType) ! loop over nodes on face myFaceNodes(n) = mesh_element(4_pInt+FE_face(n,face,myType),elem) ! CP id of face node NsharedElems = mesh_sharedElem(1_pInt,myFaceNodes(n)) ! figure # shared elements for this node if (NsharedElems < minNsharedElems) then minNsharedElems = NsharedElems ! remember min # shared elems lonelyNode = n ! remember most lonely node endif enddo allocate(element_seen(minNsharedElems)) element_seen = 0_pInt checkCandidate: do i = 1_pInt,minNsharedElems ! iterate over lonelyNode's shared elements candidateElem = mesh_sharedElem(1_pInt+i,myFaceNodes(lonelyNode)) ! present candidate elem if (all(element_seen /= candidateElem)) then ! element seen for the first time? element_seen(i) = candidateElem candidateType = FE_geomtype(mesh_element(2_pInt,candidateElem)) ! figure elemGeomType of candidate checkCandidateFace: do candidateFace = 1_pInt,FE_maxNipNeighbors ! check each face of candidate if (FE_NmatchingNodesPerFace(candidateFace,candidateType) & /= FE_NmatchingNodesPerFace(face,myType) & ! incompatible face .or. (candidateElem == elem .and. candidateFace == face)) then ! this is my face cycle checkCandidateFace endif checkTwins = .false. do n = 1_pInt,FE_NmatchingNodesPerFace(candidateFace,candidateType) ! loop through nodes on face candidateFaceNode = mesh_element(4_pInt+FE_face(n,candidateFace,candidateType),candidateElem) if (all(myFaceNodes /= candidateFaceNode)) then ! candidate node does not match any of my face nodes checkTwins = .true. ! perhaps the twin nodes do match exit endif enddo if(checkTwins) then checkCandidateFaceTwins: do dir = 1_pInt,3_pInt do n = 1_pInt,FE_NmatchingNodesPerFace(candidateFace,candidateType) ! loop through nodes on face candidateFaceNode = mesh_element(4+FE_face(n,candidateFace,candidateType),candidateElem) if (all(myFaceNodes /= mesh_nodeTwins(dir,candidateFaceNode))) then ! node twin does not match either if (dir == 3_pInt) then cycle checkCandidateFace else cycle checkCandidateFaceTwins ! try twins in next dimension endif endif enddo exit checkCandidateFaceTwins enddo checkCandidateFaceTwins endif matchingFace = candidateFace matchingElem = candidateElem exit checkCandidate ! found my matching candidate enddo checkCandidateFace endif enddo checkCandidate end subroutine mesh_faceMatch !-------------------------------------------------------------------------------------------------- !> @brief get properties of different types of finite elements !> @details assign globals: FE_nodesAtIP, FE_ipNeighbor, FE_cellnodeParentnodeWeights, FE_subNodeOnIPFace !-------------------------------------------------------------------------------------------------- subroutine mesh_build_FEdata implicit none integer(pInt) :: me allocate(FE_nodesAtIP(FE_maxmaxNnodesAtIP,FE_maxNips,FE_Ngeomtypes), source=0_pInt) allocate(FE_ipNeighbor(FE_maxNipNeighbors,FE_maxNips,FE_Ngeomtypes), source=0_pInt) allocate(FE_cell(FE_maxNcellnodesPerCell,FE_maxNips,FE_Ngeomtypes), source=0_pInt) allocate(FE_cellnodeParentnodeWeights(FE_maxNnodes,FE_maxNcellnodes,FE_Nelemtypes), source=0.0_pReal) allocate(FE_cellface(FE_maxNcellnodesPerCellface,FE_maxNcellfaces,FE_Ncelltypes), source=0_pInt) !*** fill FE_nodesAtIP with data *** me = 0_pInt me = me + 1_pInt FE_nodesAtIP(1:FE_maxNnodesAtIP(me),1:FE_Nips(me),me) = & ! element 6 (2D 3node 1ip) reshape(int([& 1,2,3 & ],pInt),[FE_maxNnodesAtIP(me),FE_Nips(me)]) me = me + 1_pInt FE_nodesAtIP(1:FE_maxNnodesAtIP(me),1:FE_Nips(me),me) = & ! element 125 (2D 6node 3ip) reshape(int([& 1, & 2, & 3 & ],pInt),[FE_maxNnodesAtIP(me),FE_Nips(me)]) me = me + 1_pInt FE_nodesAtIP(1:FE_maxNnodesAtIP(me),1:FE_Nips(me),me) = & ! element 11 (2D 4node 4ip) reshape(int([& 1, & 2, & 4, & 3 & ],pInt),[FE_maxNnodesAtIP(me),FE_Nips(me)]) me = me + 1_pInt FE_nodesAtIP(1:FE_maxNnodesAtIP(me),1:FE_Nips(me),me) = & ! element 27 (2D 8node 9ip) reshape(int([& 1,0, & 1,2, & 2,0, & 1,4, & 0,0, & 2,3, & 4,0, & 3,4, & 3,0 & ],pInt),[FE_maxNnodesAtIP(me),FE_Nips(me)]) me = me + 1_pInt FE_nodesAtIP(1:FE_maxNnodesAtIP(me),1:FE_Nips(me),me) = & ! element 134 (3D 4node 1ip) reshape(int([& 1,2,3,4 & ],pInt),[FE_maxNnodesAtIP(me),FE_Nips(me)]) me = me + 1_pInt FE_nodesAtIP(1:FE_maxNnodesAtIP(me),1:FE_Nips(me),me) = & ! element 127 (3D 10node 4ip) reshape(int([& 1, & 2, & 3, & 4 & ],pInt),[FE_maxNnodesAtIP(me),FE_Nips(me)]) me = me + 1_pInt FE_nodesAtIP(1:FE_maxNnodesAtIP(me),1:FE_Nips(me),me) = & ! element 136 (3D 6node 6ip) reshape(int([& 1, & 2, & 3, & 4, & 5, & 6 & ],pInt),[FE_maxNnodesAtIP(me),FE_Nips(me)]) me = me + 1_pInt FE_nodesAtIP(1:FE_maxNnodesAtIP(me),1:FE_Nips(me),me) = & ! element 117 (3D 8node 1ip) reshape(int([& 1,2,3,4,5,6,7,8 & ],pInt),[FE_maxNnodesAtIP(me),FE_Nips(me)]) me = me + 1_pInt FE_nodesAtIP(1:FE_maxNnodesAtIP(me),1:FE_Nips(me),me) = & ! element 7 (3D 8node 8ip) reshape(int([& 1, & 2, & 4, & 3, & 5, & 6, & 8, & 7 & ],pInt),[FE_maxNnodesAtIP(me),FE_Nips(me)]) me = me + 1_pInt FE_nodesAtIP(1:FE_maxNnodesAtIP(me),1:FE_Nips(me),me) = & ! element 21 (3D 20node 27ip) reshape(int([& 1,0, 0,0, & 1,2, 0,0, & 2,0, 0,0, & 1,4, 0,0, & 1,3, 2,4, & 2,3, 0,0, & 4,0, 0,0, & 3,4, 0,0, & 3,0, 0,0, & 1,5, 0,0, & 1,6, 2,5, & 2,6, 0,0, & 1,8, 4,5, & 0,0, 0,0, & 2,7, 3,6, & 4,8, 0,0, & 3,8, 4,7, & 3,7, 0,0, & 5,0, 0,0, & 5,6, 0,0, & 6,0, 0,0, & 5,8, 0,0, & 5,7, 6,8, & 6,7, 0,0, & 8,0, 0,0, & 7,8, 0,0, & 7,0, 0,0 & ],pInt),[FE_maxNnodesAtIP(me),FE_Nips(me)]) ! *** FE_ipNeighbor *** ! is a list of the neighborhood of each IP. ! It is sorted in (local) +x,-x, +y,-y, +z,-z direction. ! Positive integers denote an intra-FE IP identifier. ! Negative integers denote the interface behind which the neighboring (extra-FE) IP will be located. me = 0_pInt me = me + 1_pInt FE_ipNeighbor(1:FE_NipNeighbors(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 6 (2D 3node 1ip) reshape(int([& -2,-3,-1 & ],pInt),[FE_NipNeighbors(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_ipNeighbor(1:FE_NipNeighbors(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 125 (2D 6node 3ip) reshape(int([& 2,-3, 3,-1, & -2, 1, 3,-1, & 2,-3,-2, 1 & ],pInt),[FE_NipNeighbors(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_ipNeighbor(1:FE_NipNeighbors(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 11 (2D 4node 4ip) reshape(int([& 2,-4, 3,-1, & -2, 1, 4,-1, & 4,-4,-3, 1, & -2, 3,-3, 2 & ],pInt),[FE_NipNeighbors(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_ipNeighbor(1:FE_NipNeighbors(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 27 (2D 8node 9ip) reshape(int([& 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 & ],pInt),[FE_NipNeighbors(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_ipNeighbor(1:FE_NipNeighbors(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 134 (3D 4node 1ip) reshape(int([& -1,-2,-3,-4 & ],pInt),[FE_NipNeighbors(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_ipNeighbor(1:FE_NipNeighbors(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 127 (3D 10node 4ip) reshape(int([& 2,-4, 3,-2, 4,-1, & -2, 1, 3,-2, 4,-1, & 2,-4,-3, 1, 4,-1, & 2,-4, 3,-2,-3, 1 & ],pInt),[FE_NipNeighbors(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_ipNeighbor(1:FE_NipNeighbors(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 136 (3D 6node 6ip) reshape(int([& 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 & ],pInt),[FE_NipNeighbors(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_ipNeighbor(1:FE_NipNeighbors(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 117 (3D 8node 1ip) reshape(int([& -3,-5,-4,-2,-6,-1 & ],pInt),[FE_NipNeighbors(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_ipNeighbor(1:FE_NipNeighbors(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 7 (3D 8node 8ip) reshape(int([& 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 & ],pInt),[FE_NipNeighbors(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_ipNeighbor(1:FE_NipNeighbors(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 21 (3D 20node 27ip) reshape(int([& 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 & ],pInt),[FE_NipNeighbors(FE_celltype(me)),FE_Nips(me)]) ! *** FE_cell *** me = 0_pInt me = me + 1_pInt FE_cell(1:FE_NcellnodesPerCell(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 6 (2D 3node 1ip) reshape(int([& 1,2,3 & ],pInt),[FE_NcellnodesPerCell(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_cell(1:FE_NcellnodesPerCell(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 125 (2D 6node 3ip) reshape(int([& 1, 4, 7, 6, & 2, 5, 7, 4, & 3, 6, 7, 5 & ],pInt),[FE_NcellnodesPerCell(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_cell(1:FE_NcellnodesPerCell(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 11 (2D 4node 4ip) reshape(int([& 1, 5, 9, 8, & 5, 2, 6, 9, & 8, 9, 7, 4, & 9, 6, 3, 7 & ],pInt),[FE_NcellnodesPerCell(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_cell(1:FE_NcellnodesPerCell(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 27 (2D 8node 9ip) reshape(int([& 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 & ],pInt),[FE_NcellnodesPerCell(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_cell(1:FE_NcellnodesPerCell(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 134 (3D 4node 1ip) reshape(int([& 1, 2, 3, 4 & ],pInt),[FE_NcellnodesPerCell(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_cell(1:FE_NcellnodesPerCell(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 127 (3D 10node 4ip) reshape(int([& 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 & ],pInt),[FE_NcellnodesPerCell(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_cell(1:FE_NcellnodesPerCell(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 136 (3D 6node 6ip) reshape(int([& 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 & ],pInt),[FE_NcellnodesPerCell(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_cell(1:FE_NcellnodesPerCell(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 117 (3D 8node 1ip) reshape(int([& 1, 2, 3, 4, 5, 6, 7, 8 & ],pInt),[FE_NcellnodesPerCell(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_cell(1:FE_NcellnodesPerCell(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 7 (3D 8node 8ip) reshape(int([& 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 & ],pInt),[FE_NcellnodesPerCell(FE_celltype(me)),FE_Nips(me)]) me = me + 1_pInt FE_cell(1:FE_NcellnodesPerCell(FE_celltype(me)),1:FE_Nips(me),me) = & ! element 21 (3D 20node 27ip) reshape(int([& 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 & ],pInt),[FE_NcellnodesPerCell(FE_celltype(me)),FE_Nips(me)]) ! *** FE_cellnodeParentnodeWeights *** ! center of gravity of the weighted nodes gives the position of the cell node. ! fill with 0. ! 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 me = 0_pInt me = me + 1_pInt FE_cellnodeParentnodeWeights(1:FE_Nnodes(me),1:FE_Ncellnodes(FE_geomtype(me)),me) = & ! element 6 (2D 3node 1ip) reshape(real([& 1, 0, 0, & 0, 1, 0, & 0, 0, 1 & ],pReal),[FE_Nnodes(me),FE_Ncellnodes(FE_geomtype(me))]) me = me + 1_pInt FE_cellnodeParentnodeWeights(1:FE_Nnodes(me),1:FE_Ncellnodes(FE_geomtype(me)),me) = & ! element 125 (2D 6node 3ip) reshape(real([& 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 & ],pReal),[FE_Nnodes(me),FE_Ncellnodes(FE_geomtype(me))]) me = me + 1_pInt FE_cellnodeParentnodeWeights(1:FE_Nnodes(me),1:FE_Ncellnodes(FE_geomtype(me)),me) = & ! element 11 (2D 4node 4ip) reshape(real([& 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 & ],pReal),[FE_Nnodes(me),FE_Ncellnodes(FE_geomtype(me))]) me = me + 1_pInt FE_cellnodeParentnodeWeights(1:FE_Nnodes(me),1:FE_Ncellnodes(FE_geomtype(me)),me) = & ! element 27 (2D 8node 9ip) reshape(real([& 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 & ],pReal),[FE_Nnodes(me),FE_Ncellnodes(FE_geomtype(me))]) me = me + 1_pInt FE_cellnodeParentnodeWeights(1:FE_Nnodes(me),1:FE_Ncellnodes(FE_geomtype(me)),me) = & ! element 54 (2D 8node 4ip) reshape(real([& 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 & ],pReal),[FE_Nnodes(me),FE_Ncellnodes(FE_geomtype(me))]) me = me + 1_pInt FE_cellnodeParentnodeWeights(1:FE_Nnodes(me),1:FE_Ncellnodes(FE_geomtype(me)),me) = & ! element 134 (3D 4node 1ip) reshape(real([& 1, 0, 0, 0, & 0, 1, 0, 0, & 0, 0, 1, 0, & 0, 0, 0, 1 & ],pReal),[FE_Nnodes(me),FE_Ncellnodes(FE_geomtype(me))]) me = me + 1_pInt FE_cellnodeParentnodeWeights(1:FE_Nnodes(me),1:FE_Ncellnodes(FE_geomtype(me)),me) = & ! element 157 (3D 5node 4ip) reshape(real([& 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 & ],pReal),[FE_Nnodes(me),FE_Ncellnodes(FE_geomtype(me))]) me = me + 1_pInt FE_cellnodeParentnodeWeights(1:FE_Nnodes(me),1:FE_Ncellnodes(FE_geomtype(me)),me) = & ! element 127 (3D 10node 4ip) reshape(real([& 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 & ],pReal),[FE_Nnodes(me),FE_Ncellnodes(FE_geomtype(me))]) me = me + 1_pInt FE_cellnodeParentnodeWeights(1:FE_Nnodes(me),1:FE_Ncellnodes(FE_geomtype(me)),me) = & ! element 136 (3D 6node 6ip) reshape(real([& 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 & ],pReal),[FE_Nnodes(me),FE_Ncellnodes(FE_geomtype(me))]) me = me + 1_pInt FE_cellnodeParentnodeWeights(1:FE_Nnodes(me),1:FE_Ncellnodes(FE_geomtype(me)),me) = & ! element 117 (3D 8node 1ip) reshape(real([& 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 & ],pReal),[FE_Nnodes(me),FE_Ncellnodes(FE_geomtype(me))]) me = me + 1_pInt FE_cellnodeParentnodeWeights(1:FE_Nnodes(me),1:FE_Ncellnodes(FE_geomtype(me)),me) = & ! element 7 (3D 8node 8ip) reshape(real([& 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, & ! 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 & ! ],pReal),[FE_Nnodes(me),FE_Ncellnodes(FE_geomtype(me))]) me = me + 1_pInt FE_cellnodeParentnodeWeights(1:FE_Nnodes(me),1:FE_Ncellnodes(FE_geomtype(me)),me) = & ! element 57 (3D 20node 8ip) reshape(real([& 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 & ! ],pReal),[FE_Nnodes(me),FE_Ncellnodes(FE_geomtype(me))]) me = me + 1_pInt FE_cellnodeParentnodeWeights(1:FE_Nnodes(me),1:FE_Ncellnodes(FE_geomtype(me)),me) = & ! element 21 (3D 20node 27ip) reshape(real([& 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 & ! ],pReal),[FE_Nnodes(me),FE_Ncellnodes(FE_geomtype(me))]) ! *** FE_cellface *** me = 0_pInt me = me + 1_pInt FE_cellface(1:FE_NcellnodesPerCellface(me),1:FE_NipNeighbors(me),me) = & ! 2D 3node, VTK_TRIANGLE (5) reshape(int([& 2,3, & 3,1, & 1,2 & ],pInt),[FE_NcellnodesPerCellface(me),FE_NipNeighbors(me)]) me = me + 1_pInt FE_cellface(1:FE_NcellnodesPerCellface(me),1:FE_NipNeighbors(me),me) = & ! 2D 4node, VTK_QUAD (9) reshape(int([& 2,3, & 4,1, & 3,4, & 1,2 & ],pInt),[FE_NcellnodesPerCellface(me),FE_NipNeighbors(me)]) me = me + 1_pInt FE_cellface(1:FE_NcellnodesPerCellface(me),1:FE_NipNeighbors(me),me) = & ! 3D 4node, VTK_TETRA (10) reshape(int([& 1,3,2, & 1,2,4, & 2,3,4, & 1,4,3 & ],pInt),[FE_NcellnodesPerCellface(me),FE_NipNeighbors(me)]) me = me + 1_pInt FE_cellface(1:FE_NcellnodesPerCellface(me),1:FE_NipNeighbors(me),me) = & ! 3D 8node, VTK_HEXAHEDRON (12) reshape(int([& 2,3,7,6, & 4,1,5,8, & 3,4,8,7, & 1,2,6,5, & 5,6,7,8, & 1,4,3,2 & ],pInt),[FE_NcellnodesPerCellface(me),FE_NipNeighbors(me)]) end subroutine mesh_build_FEdata end module mesh