cleaning
more complex initialization will be used by FEM solvers only
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@ -35,8 +35,8 @@ module mesh
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mesh_unitlength !< physical length of one unit in mesh
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real(pReal), dimension(:,:), allocatable, private :: &
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mesh_node, & !< node x,y,z coordinates (after deformation! ONLY FOR MARC!!!)
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mesh_cellnode !< cell node x,y,z coordinates (after deformation! ONLY FOR MARC!!!)
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mesh_node !< node x,y,z coordinates (after deformation! ONLY FOR MARC!!!)
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real(pReal), dimension(:,:), allocatable, public, protected :: &
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mesh_ipVolume, & !< volume associated with IP (initially!)
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@ -53,53 +53,14 @@ module mesh
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logical, dimension(3), public, parameter :: mesh_periodicSurface = .true. !< flag indicating periodic outer surfaces (used for fluxes)
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integer(pInt), dimension(:,:), allocatable, private :: &
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mesh_cellnodeParent !< cellnode's parent element ID, cellnode's intra-element ID
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integer(pInt),dimension(:,:,:), allocatable, private :: &
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mesh_cell !< cell connectivity for each element,ip/cell
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integer(pInt), dimension(:,:,:), allocatable, private :: &
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FE_cellface !< list of intra-cell cell node IDs that constitute the cell faces of a specific type of cell
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! These definitions should actually reside in the FE-solver specific part (different for MARC/ABAQUS)
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! Hence, I suggest to prefix with "FE_"
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integer(pInt), parameter, private :: &
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FE_Ngeomtypes = 10_pInt, &
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FE_Ncelltypes = 4_pInt, &
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FE_maxNcellnodesPerCell = 8_pInt, &
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FE_maxNcellfaces = 6_pInt, &
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FE_maxNcellnodesPerCellface = 4_pInt
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integer(pInt), dimension(FE_Ncelltypes), parameter, private :: FE_NcellnodesPerCell = & !< number of cell nodes in a specific cell type
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int([ &
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3, & ! (2D 3node)
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4, & ! (2D 4node)
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4, & ! (3D 4node)
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8 & ! (3D 8node)
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],pInt)
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integer(pInt), dimension(FE_Ncelltypes), parameter, private :: FE_NcellnodesPerCellface = & !< number of cell nodes per cell face in a specific cell type
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int([&
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2, & ! (2D 3node)
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2, & ! (2D 4node)
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3, & ! (3D 4node)
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4 & ! (3D 8node)
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],pInt)
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integer(pInt), dimension(FE_Ncelltypes), parameter, private :: FE_NipNeighbors = & !< number of ip neighbors / cell faces in a specific cell type
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int([&
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3, & ! (2D 3node)
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4, & ! (2D 4node)
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4, & ! (3D 4node)
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6 & ! (3D 8node)
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],pInt)
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FE_maxNcellnodesPerCell = 8_pInt
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integer(pInt), dimension(3), public, protected :: &
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grid !< (global) grid
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@ -117,13 +78,10 @@ integer(pInt), dimension(:,:), allocatable, private :: &
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mesh_init
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private :: &
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mesh_build_cellconnectivity, &
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mesh_build_ipAreas, &
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mesh_build_FEdata, &
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mesh_spectral_build_nodes, &
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mesh_spectral_build_elements, &
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mesh_spectral_build_ipNeighborhood, &
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mesh_build_cellnodes, &
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mesh_build_ipCoordinates
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type, public, extends(tMesh) :: tMesh_grid
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@ -234,16 +192,14 @@ subroutine mesh_init(ip,el)
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if (myDebug) write(6,'(a)') ' Built elements'; flush(6)
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call mesh_build_FEdata ! get properties of the different types of elements
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call mesh_build_cellconnectivity
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if (myDebug) write(6,'(a)') ' Built cell connectivity'; flush(6)
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mesh_cellnode = mesh_build_cellnodes(mesh_node,mesh_Ncellnodes)
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if (myDebug) write(6,'(a)') ' Built cell nodes'; flush(6)
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mesh_ipCoordinates = mesh_build_ipCoordinates()
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if (myDebug) write(6,'(a)') ' Built IP coordinates'; flush(6)
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allocate(mesh_ipVolume(1,theMesh%nElems),source=product([geomSize(1:2),size3]/real([grid(1:2),grid3])))
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if (myDebug) write(6,'(a)') ' Built IP volumes'; flush(6)
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call mesh_build_ipAreas
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mesh_ipArea = mesh_build_ipAreas()
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call mesh_build_ipAreas2
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if (myDebug) write(6,'(a)') ' Built IP areas'; flush(6)
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call mesh_spectral_build_ipNeighborhood
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@ -261,9 +217,6 @@ subroutine mesh_init(ip,el)
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!!!! COMPATIBILITY HACK !!!!
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! for a homogeneous mesh, all elements have the same number of IPs and and cell nodes.
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! hence, xxPerElem instead of maxXX
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! better name
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theMesh%homogenizationAt = mesh_element(3,:)
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theMesh%microstructureAt = mesh_element(4,:)
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!!!!!!!!!!!!!!!!!!!!!!!!
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@ -643,236 +596,34 @@ end function mesh_nodesAroundCentres
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!--------------------------------------------------------------------------------------------------
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!> @brief Split CP elements into cells.
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!> @details Build a mapping between cells and the corresponding cell nodes ('mesh_cell').
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!> Cell nodes that are also matching nodes are unique in the list of cell nodes,
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!> all others (currently) might be stored more than once.
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!> Also allocates the 'mesh_node' array.
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!> @brief calculation of IP interface areas, allocate globals '_ipArea', and '_ipAreaNormal'
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!--------------------------------------------------------------------------------------------------
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subroutine mesh_build_cellconnectivity
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pure function mesh_build_ipAreas()
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implicit none
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integer(pInt), dimension(:), allocatable :: &
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matchingNode2cellnode
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integer(pInt), dimension(:,:), allocatable :: &
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cellnodeParent
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integer(pInt), dimension(theMesh%elem%Ncellnodes) :: &
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localCellnode2globalCellnode
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integer(pInt) :: &
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e,n,i, &
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matchingNodeID, &
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localCellnodeID
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integer(pInt), dimension(FE_Ngeomtypes), parameter :: FE_NmatchingNodes = & !< number of nodes that are needed for face matching in a specific type of element geometry
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int([ &
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3, & ! element 6 (2D 3node 1ip)
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3, & ! element 125 (2D 6node 3ip)
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4, & ! element 11 (2D 4node 4ip)
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4, & ! element 27 (2D 8node 9ip)
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4, & ! element 134 (3D 4node 1ip)
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4, & ! element 127 (3D 10node 4ip)
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6, & ! element 136 (3D 6node 6ip)
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8, & ! element 117 (3D 8node 1ip)
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8, & ! element 7 (3D 8node 8ip)
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8 & ! element 21 (3D 20node 27ip)
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],pInt)
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real(pReal), dimension(6,1,theMesh%nElems) :: mesh_build_ipAreas
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allocate(mesh_cell(FE_maxNcellnodesPerCell,theMesh%elem%nIPs,theMesh%nElems), source=0_pInt)
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allocate(matchingNode2cellnode(theMesh%nNodes), source=0_pInt)
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allocate(cellnodeParent(2_pInt,theMesh%elem%Ncellnodes*theMesh%nElems), source=0_pInt)
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mesh_Ncells = theMesh%nElems*theMesh%elem%nIPs
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!--------------------------------------------------------------------------------------------------
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! Count cell nodes (including duplicates) and generate cell connectivity list
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mesh_Ncellnodes = 0_pInt
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do e = 1_pInt,theMesh%nElems
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localCellnode2globalCellnode = 0_pInt
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do i = 1_pInt,theMesh%elem%nIPs
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do n = 1_pInt,theMesh%elem%NcellnodesPerCell
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localCellnodeID = theMesh%elem%cell(n,i)
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if (localCellnodeID <= FE_NmatchingNodes(theMesh%elem%geomType)) then ! this cell node is a matching node
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matchingNodeID = mesh_element(4_pInt+localCellnodeID,e)
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if (matchingNode2cellnode(matchingNodeID) == 0_pInt) then ! if this matching node does not yet exist in the glbal cell node list ...
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mesh_Ncellnodes = mesh_Ncellnodes + 1_pInt ! ... count it as cell node ...
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matchingNode2cellnode(matchingNodeID) = mesh_Ncellnodes ! ... and remember its global ID
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cellnodeParent(1_pInt,mesh_Ncellnodes) = e ! ... and where it belongs to
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cellnodeParent(2_pInt,mesh_Ncellnodes) = localCellnodeID
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endif
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mesh_cell(n,i,e) = matchingNode2cellnode(matchingNodeID)
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else ! this cell node is no matching node
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if (localCellnode2globalCellnode(localCellnodeID) == 0_pInt) then ! if this local cell node does not yet exist in the global cell node list ...
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mesh_Ncellnodes = mesh_Ncellnodes + 1_pInt ! ... count it as cell node ...
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localCellnode2globalCellnode(localCellnodeID) = mesh_Ncellnodes ! ... and remember its global ID ...
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cellnodeParent(1_pInt,mesh_Ncellnodes) = e ! ... and it belongs to
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cellnodeParent(2_pInt,mesh_Ncellnodes) = localCellnodeID
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endif
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mesh_cell(n,i,e) = localCellnode2globalCellnode(localCellnodeID)
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endif
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enddo
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enddo
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enddo
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allocate(mesh_cellnodeParent(2_pInt,mesh_Ncellnodes))
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allocate(mesh_cellnode(3_pInt,mesh_Ncellnodes))
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forall(n = 1_pInt:mesh_Ncellnodes)
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mesh_cellnodeParent(1,n) = cellnodeParent(1,n)
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mesh_cellnodeParent(2,n) = cellnodeParent(2,n)
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endforall
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end subroutine mesh_build_cellconnectivity
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!--------------------------------------------------------------------------------------------------
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!> @brief Calculate position of cellnodes from the given position of nodes
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!> Build list of cellnodes' coordinates.
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!> Cellnode coordinates are calculated from a weighted sum of node coordinates.
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!--------------------------------------------------------------------------------------------------
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function mesh_build_cellnodes(nodes,Ncellnodes)
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implicit none
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integer(pInt), intent(in) :: Ncellnodes !< requested number of cellnodes
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real(pReal), dimension(3,mesh_Nnodes), intent(in) :: nodes
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real(pReal), dimension(3,Ncellnodes) :: mesh_build_cellnodes
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integer(pInt) :: &
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e,n,m, &
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localCellnodeID
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real(pReal), dimension(3) :: &
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myCoords
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mesh_build_cellnodes = 0.0_pReal
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!$OMP PARALLEL DO PRIVATE(e,localCellnodeID,myCoords)
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do n = 1_pInt,Ncellnodes ! loop over cell nodes
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e = mesh_cellnodeParent(1,n)
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localCellnodeID = mesh_cellnodeParent(2,n)
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myCoords = 0.0_pReal
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do m = 1_pInt,theMesh%elem%nNodes
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myCoords = myCoords + nodes(1:3,mesh_element(4_pInt+m,e)) &
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* theMesh%elem%cellNodeParentNodeWeights(m,localCellnodeID)
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enddo
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mesh_build_cellnodes(1:3,n) = myCoords / sum(theMesh%elem%cellNodeParentNodeWeights(:,localCellnodeID))
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enddo
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!$OMP END PARALLEL DO
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end function mesh_build_cellnodes
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!--------------------------------------------------------------------------------------------------
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!> @brief Calculates IP Coordinates. Allocates global array 'mesh_ipCoordinates'
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! Called by all solvers in mesh_init in order to initialize the ip coordinates.
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! Later on the current ip coordinates are directly prvided by the spectral solver and by Abaqus,
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! so no need to use this subroutine anymore; Marc however only provides nodal displacements,
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! so in this case the ip coordinates are always calculated on the basis of this subroutine.
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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! FOR THE MOMENT THIS SUBROUTINE ACTUALLY CALCULATES THE CELL CENTER AND NOT THE IP COORDINATES,
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! AS THE IP IS NOT (ALWAYS) LOCATED IN THE CENTER OF THE IP VOLUME.
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! HAS TO BE CHANGED IN A LATER VERSION.
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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!--------------------------------------------------------------------------------------------------
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mesh_build_ipAreas(1:2,1,:) = geomSize(2)/real(grid(2)) * geomSize(3)/real(grid(3))
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mesh_build_ipAreas(3:4,1,:) = geomSize(3)/real(grid(3)) * geomSize(1)/real(grid(1))
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mesh_build_ipAreas(5:6,1,:) = geomSize(1)/real(grid(1)) * geomSize(2)/real(grid(2))
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end function mesh_build_ipAreas
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!--------------------------------------------------------------------------------------------------
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!> @brief calculation of IP interface areas, allocate globals '_ipArea', and '_ipAreaNormal'
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!--------------------------------------------------------------------------------------------------
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subroutine mesh_build_ipAreas
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use math, only: &
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math_crossproduct
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subroutine mesh_build_ipAreas2
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implicit none
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integer(pInt) :: e,t,g,c,i,f,n,m
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real(pReal), dimension (3,FE_maxNcellnodesPerCellface) :: nodePos, normals
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real(pReal), dimension(3) :: normal
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allocate(mesh_ipAreaNormal(3,6,1,theMesh%nElems), source=0.0_pReal)
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allocate(mesh_ipArea(theMesh%elem%nIPneighbors,theMesh%elem%nIPs,theMesh%nElems), source=0.0_pReal)
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allocate(mesh_ipAreaNormal(3_pInt,theMesh%elem%nIPneighbors,theMesh%elem%nIPs,theMesh%nElems), source=0.0_pReal)
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!$OMP PARALLEL DO PRIVATE(t,g,c,nodePos,normal,normals)
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do e = 1_pInt,theMesh%nElems ! loop over cpElems
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c = theMesh%elem%cellType
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select case (c)
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case (4_pInt)
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! for this cell type we get the normal of the quadrilateral face as an average of
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! four normals of triangular subfaces; since the face consists only of two triangles,
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! the sum has to be divided by two; this whole prcedure tries to compensate for
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! probable non-planar cell surfaces
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m = FE_NcellnodesPerCellface(c)
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do i = 1_pInt,theMesh%elem%nIPs ! loop over ips=cells in this element
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do f = 1_pInt,FE_NipNeighbors(c) ! loop over cell faces
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forall(n = 1_pInt:FE_NcellnodesPerCellface(c)) &
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nodePos(1:3,n) = mesh_cellnode(1:3,mesh_cell(FE_cellface(n,f,c),i,e))
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forall(n = 1_pInt:FE_NcellnodesPerCellface(c)) &
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normals(1:3,n) = 0.5_pReal &
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* math_crossproduct(nodePos(1:3,1+mod(n ,m)) - nodePos(1:3,n), &
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nodePos(1:3,1+mod(n+1,m)) - nodePos(1:3,n))
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normal = 0.5_pReal * sum(normals,2)
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mesh_ipArea(f,i,e) = norm2(normal)
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mesh_ipAreaNormal(1:3,f,i,e) = normal / norm2(normal)
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enddo
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enddo
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end select
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enddo
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!$OMP END PARALLEL DO
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end subroutine mesh_build_ipAreas
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!--------------------------------------------------------------------------------------------------
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!> @brief get properties of different types of finite elements
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!> @details assign globals: FE_nodesAtIP, FE_ipNeighbor, FE_subNodeOnIPFace
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!--------------------------------------------------------------------------------------------------
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subroutine mesh_build_FEdata
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implicit none
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integer(pInt) :: me
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allocate(FE_cellface(FE_maxNcellnodesPerCellface,FE_maxNcellfaces,FE_Ncelltypes), source=0_pInt)
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! *** FE_cellface ***
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me = 0_pInt
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me = me + 1_pInt
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FE_cellface(1:FE_NcellnodesPerCellface(me),1:FE_NipNeighbors(me),me) = & ! 2D 3node, VTK_TRIANGLE (5)
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reshape(int([&
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2,3, &
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3,1, &
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1,2 &
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],pInt),[FE_NcellnodesPerCellface(me),FE_NipNeighbors(me)])
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me = me + 1_pInt
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FE_cellface(1:FE_NcellnodesPerCellface(me),1:FE_NipNeighbors(me),me) = & ! 2D 4node, VTK_QUAD (9)
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reshape(int([&
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2,3, &
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4,1, &
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3,4, &
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1,2 &
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],pInt),[FE_NcellnodesPerCellface(me),FE_NipNeighbors(me)])
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me = me + 1_pInt
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FE_cellface(1:FE_NcellnodesPerCellface(me),1:FE_NipNeighbors(me),me) = & ! 3D 4node, VTK_TETRA (10)
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reshape(int([&
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1,3,2, &
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1,2,4, &
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2,3,4, &
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1,4,3 &
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],pInt),[FE_NcellnodesPerCellface(me),FE_NipNeighbors(me)])
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me = me + 1_pInt
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FE_cellface(1:FE_NcellnodesPerCellface(me),1:FE_NipNeighbors(me),me) = & ! 3D 8node, VTK_HEXAHEDRON (12)
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reshape(int([&
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2,3,7,6, &
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4,1,5,8, &
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3,4,8,7, &
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1,2,6,5, &
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5,6,7,8, &
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1,4,3,2 &
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],pInt),[FE_NcellnodesPerCellface(me),FE_NipNeighbors(me)])
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mesh_ipAreaNormal(1:3,1,1,:) = spread([+1.0_pReal, 0.0_pReal, 0.0_pReal],2,theMesh%nElems)
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mesh_ipAreaNormal(1:3,2,1,:) = spread([-1.0_pReal, 0.0_pReal, 0.0_pReal],2,theMesh%nElems)
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mesh_ipAreaNormal(1:3,3,1,:) = spread([ 0.0_pReal,+1.0_pReal, 0.0_pReal],2,theMesh%nElems)
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mesh_ipAreaNormal(1:3,4,1,:) = spread([ 0.0_pReal,-1.0_pReal, 0.0_pReal],2,theMesh%nElems)
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mesh_ipAreaNormal(1:3,5,1,:) = spread([ 0.0_pReal, 0.0_pReal,+1.0_pReal],2,theMesh%nElems)
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mesh_ipAreaNormal(1:3,6,1,:) = spread([ 0.0_pReal, 0.0_pReal,-1.0_pReal],2,theMesh%nElems)
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end subroutine mesh_build_FEdata
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end subroutine mesh_build_ipAreas2
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end module mesh
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