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/******************************************************* |
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* |
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* Copyright (c) 2003-2009 by University of Queensland |
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* Earth Systems Science Computational Center (ESSCC) |
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* http://www.uq.edu.au/esscc |
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* |
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* Primary Business: Queensland, Australia |
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* Licensed under the Open Software License version 3.0 |
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* http://www.opensource.org/licenses/osl-3.0.php |
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* |
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*******************************************************/ |
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/**************************************************************/ |
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|
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/* Finley: generates rectangular meshes */ |
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|
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/* Generates a numElements[0] x numElements[1] mesh with first order elements (Rec4) in the rectangle */ |
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/* [0,Length[0]] x [0,Length[1]]. order is the desired accuracy of the integration scheme. */ |
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/**************************************************************/ |
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#include "RectangularMesh.h" |
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|
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|
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Finley_Mesh* Finley_RectangularMesh_Rec4(dim_t* numElements, |
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double* Length, |
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bool_t* periodic, |
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index_t order, |
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index_t reduced_order, |
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bool_t useElementsOnFace, |
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bool_t useFullElementOrder, |
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bool_t optimize) |
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{ |
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#define N_PER_E 1 |
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#define DIM 2 |
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dim_t N0,N1,NE0,NE1,i0,i1,k,Nstride0=0,Nstride1=0, local_NE0, local_NE1, local_N0=0, local_N1=0, global_i0, global_i1; |
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index_t offset0=0, offset1=0, e_offset0=0, e_offset1=0; |
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dim_t totalNECount,faceNECount,NDOF0=0,NDOF1=0,NFaceElements,NN; |
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Finley_ReferenceElementSet *refPoints=NULL, *refContactElements=NULL, *refFaceElements=NULL, *refElements=NULL; |
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index_t node0, myRank; |
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Finley_Mesh* out; |
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Paso_MPIInfo *mpi_info = NULL; |
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char name[50]; |
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#ifdef Finley_TRACE |
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double time0=Finley_timer(); |
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#endif |
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|
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/* get MPI information */ |
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mpi_info = Paso_MPIInfo_alloc( MPI_COMM_WORLD ); |
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if (! Finley_noError()) { |
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return NULL; |
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} |
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myRank=mpi_info->rank; |
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|
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/* set up the global dimensions of the mesh */ |
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|
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NE0=MAX(1,numElements[0]); |
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NE1=MAX(1,numElements[1]); |
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N0=N_PER_E*NE0+1; |
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N1=N_PER_E*NE1+1; |
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|
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/* allocate mesh: */ |
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sprintf(name,"Rectangular %d x %d mesh",N0,N1); |
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out=Finley_Mesh_alloc(name,DIM,order, reduced_order, mpi_info); |
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if (! Finley_noError()) { |
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Paso_MPIInfo_free( mpi_info ); |
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return NULL; |
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} |
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refElements= Finley_ReferenceElementSet_alloc(Rec4,out->order,out->reduced_order); |
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if (useElementsOnFace) { |
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refFaceElements=Finley_ReferenceElementSet_alloc(Rec4Face, out->order, out->reduced_order); |
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refContactElements=Finley_ReferenceElementSet_alloc(Rec4Face_Contact, out->order, out->reduced_order); |
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} else { |
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refFaceElements=Finley_ReferenceElementSet_alloc(Line2, out->order, out->reduced_order); |
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refContactElements=Finley_ReferenceElementSet_alloc(Line2_Contact, out->order, out->reduced_order); |
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} |
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refPoints=Finley_ReferenceElementSet_alloc(Point1, out->order, out->reduced_order); |
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|
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if ( Finley_noError()) { |
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|
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Finley_Mesh_setPoints(out,Finley_ElementFile_alloc(refPoints, mpi_info)); |
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Finley_Mesh_setContactElements(out,Finley_ElementFile_alloc(refContactElements, mpi_info)); |
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Finley_Mesh_setFaceElements(out,Finley_ElementFile_alloc(refFaceElements, mpi_info)); |
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Finley_Mesh_setElements(out,Finley_ElementFile_alloc(refElements, mpi_info)); |
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|
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/* work out the largest dimension */ |
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if (N1==MAX(N0,N1)) { |
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Nstride0=1; |
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Nstride1=N0; |
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local_NE0=NE0; |
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e_offset0=0; |
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Paso_MPIInfo_Split(mpi_info,NE1,&local_NE1,&e_offset1); |
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} else { |
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Nstride0=N1; |
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Nstride1=1; |
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Paso_MPIInfo_Split(mpi_info,NE0,&local_NE0,&e_offset0); |
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local_NE1=NE1; |
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e_offset1=0; |
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} |
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offset0=e_offset0*N_PER_E; |
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offset1=e_offset1*N_PER_E; |
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local_N0=local_NE0>0 ? local_NE0*N_PER_E+1 : 0; |
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local_N1=local_NE1>0 ? local_NE1*N_PER_E+1 : 0; |
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|
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/* get the number of surface elements */ |
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|
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NFaceElements=0; |
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if (!periodic[0] && (local_NE0>0)) { |
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NDOF0=N0; |
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if (e_offset0 == 0) NFaceElements+=local_NE1; |
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if (local_NE0+e_offset0 == NE0) NFaceElements+=local_NE1; |
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} else { |
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NDOF0=N0-1; |
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} |
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if (!periodic[1] && (local_NE1>0)) { |
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NDOF1=N1; |
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if (e_offset1 == 0) NFaceElements+=local_NE0; |
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if (local_NE1+e_offset1 == NE1) NFaceElements+=local_NE0; |
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} else { |
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NDOF1=N1-1; |
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} |
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|
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/* allocate tables: */ |
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|
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|
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Finley_NodeFile_allocTable(out->Nodes,local_N0*local_N1); |
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Finley_ElementFile_allocTable(out->Elements,local_NE0*local_NE1); |
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Finley_ElementFile_allocTable(out->FaceElements,NFaceElements); |
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|
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} |
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if (Finley_noError()) { |
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/* create nodes */ |
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#pragma omp parallel for private(i0,i1,k,global_i0,global_i1) |
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for (i1=0;i1<local_N1;i1++) { |
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for (i0=0;i0<local_N0;i0++) { |
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k=i0+local_N0*i1; |
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global_i0=i0+offset0; |
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global_i1=i1+offset1; |
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out->Nodes->Coordinates[INDEX2(0,k,DIM)]=DBLE(global_i0)/DBLE(N0-1)*Length[0]; |
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out->Nodes->Coordinates[INDEX2(1,k,DIM)]=DBLE(global_i1)/DBLE(N1-1)*Length[1]; |
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out->Nodes->Id[k]=Nstride0*global_i0+Nstride1*global_i1; |
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out->Nodes->Tag[k]=0; |
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out->Nodes->globalDegreesOfFreedom[k]=Nstride0*(global_i0%NDOF0) |
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+Nstride1*(global_i1%NDOF1); |
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} |
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} |
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/* set the elements: */ |
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NN=out->Elements->numNodes; |
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#pragma omp parallel for private(i0,i1,k,node0) |
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for (i1=0;i1<local_NE1;i1++) { |
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for (i0=0;i0<local_NE0;i0++) { |
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|
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k=i0+local_NE0*i1; |
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node0=Nstride0*N_PER_E*(i0+e_offset0)+Nstride1*N_PER_E*(i1+e_offset1); |
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|
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out->Elements->Id[k]=(i0+e_offset0)+NE0*(i1+e_offset1); |
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out->Elements->Tag[k]=0; |
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out->Elements->Owner[k]=myRank; |
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|
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out->Elements->Nodes[INDEX2(0,k,NN)]=node0; |
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out->Elements->Nodes[INDEX2(1,k,NN)]=node0+Nstride0; |
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out->Elements->Nodes[INDEX2(2,k,NN)]=node0+Nstride1+Nstride0; |
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out->Elements->Nodes[INDEX2(3,k,NN)]=node0+Nstride1; |
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} |
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} |
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/* face elements */ |
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NN=out->FaceElements->numNodes; |
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totalNECount=NE0*NE1; |
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faceNECount=0; |
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if (!periodic[0] && (local_NE0>0)) { |
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/* ** elements on boundary 001 (x1=0): */ |
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|
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if (e_offset0 == 0) { |
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#pragma omp parallel for private(i1,k,node0) |
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for (i1=0;i1<local_NE1;i1++) { |
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|
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k=i1+faceNECount; |
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node0=Nstride1*N_PER_E*(i1+e_offset1); |
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|
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out->FaceElements->Id[k]=i1+e_offset1+totalNECount; |
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out->FaceElements->Tag[k]=1; |
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out->FaceElements->Owner[k]=myRank; |
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if (useElementsOnFace) { |
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out->FaceElements->Nodes[INDEX2(0,k,NN)]=node0+Nstride1; |
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out->FaceElements->Nodes[INDEX2(1,k,NN)]=node0; |
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out->FaceElements->Nodes[INDEX2(2,k,NN)]=node0+Nstride0; |
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out->FaceElements->Nodes[INDEX2(3,k,NN)]=node0+Nstride1+Nstride0; |
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} else { |
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out->FaceElements->Nodes[INDEX2(0,k,NN)]=node0+Nstride1; |
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out->FaceElements->Nodes[INDEX2(1,k,NN)]=node0; |
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} |
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} |
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faceNECount+=local_NE1; |
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} |
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totalNECount+=NE1; |
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/* ** elements on boundary 002 (x1=1): */ |
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if (local_NE0+e_offset0 == NE0) { |
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#pragma omp parallel for private(i1,k,node0) |
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for (i1=0;i1<local_NE1;i1++) { |
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k=i1+faceNECount; |
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node0=Nstride0*N_PER_E*(NE0-1)+Nstride1*N_PER_E*(i1+e_offset1); |
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|
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out->FaceElements->Id[k]=(i1+e_offset1)+totalNECount; |
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out->FaceElements->Tag[k]=2; |
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out->FaceElements->Owner[k]=myRank; |
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|
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if (useElementsOnFace) { |
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out->FaceElements->Nodes[INDEX2(0,k,NN)]=node0+Nstride0; |
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out->FaceElements->Nodes[INDEX2(1,k,NN)]=node0+Nstride1+Nstride0; |
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out->FaceElements->Nodes[INDEX2(2,k,NN)]=node0+Nstride1; |
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out->FaceElements->Nodes[INDEX2(3,k,NN)]=node0; |
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} else { |
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out->FaceElements->Nodes[INDEX2(0,k,NN)]=node0+Nstride0; |
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out->FaceElements->Nodes[INDEX2(1,k,NN)]=node0+Nstride1+Nstride0; |
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} |
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} |
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faceNECount+=local_NE1; |
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} |
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totalNECount+=NE1; |
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} |
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if (!periodic[1] && (local_NE1>0)) { |
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/* ** elements on boundary 010 (x2=0): */ |
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if (e_offset1 == 0) { |
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#pragma omp parallel for private(i0,k,node0) |
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for (i0=0;i0<local_NE0;i0++) { |
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k=i0+faceNECount; |
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node0=Nstride0*N_PER_E*(i0+e_offset0); |
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|
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out->FaceElements->Id[k]=e_offset0+i0+totalNECount; |
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out->FaceElements->Tag[k]=10; |
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out->FaceElements->Owner[k]=myRank; |
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if (useElementsOnFace) { |
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out->FaceElements->Nodes[INDEX2(0,k,NN)]=node0; |
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out->FaceElements->Nodes[INDEX2(1,k,NN)]=node0+Nstride0; |
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out->FaceElements->Nodes[INDEX2(2,k,NN)]=node0+Nstride1+Nstride0; |
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out->FaceElements->Nodes[INDEX2(3,k,NN)]=node0+Nstride1; |
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} else { |
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out->FaceElements->Nodes[INDEX2(0,k,NN)]=node0; |
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out->FaceElements->Nodes[INDEX2(1,k,NN)]=node0+Nstride0; |
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} |
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} |
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faceNECount+=local_NE0; |
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} |
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totalNECount+=NE0; |
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/* ** elements on boundary 020 (x2=1): */ |
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if (local_NE1+e_offset1 == NE1) { |
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#pragma omp parallel for private(i0,k,node0) |
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for (i0=0;i0<local_NE0;i0++) { |
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k=i0+faceNECount; |
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node0=Nstride0*N_PER_E*(i0+e_offset0)+Nstride1*N_PER_E*(NE1-1); |
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out->FaceElements->Id[k]=i0+e_offset0+totalNECount; |
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out->FaceElements->Tag[k]=20; |
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out->FaceElements->Owner[k]=myRank; |
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if (useElementsOnFace) { |
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out->FaceElements->Nodes[INDEX2(0,k,NN)]=node0+Nstride1+Nstride0; |
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out->FaceElements->Nodes[INDEX2(1,k,NN)]=node0+Nstride1; |
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out->FaceElements->Nodes[INDEX2(2,k,NN)]=node0; |
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out->FaceElements->Nodes[INDEX2(3,k,NN)]=node0+Nstride0; |
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} else { |
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out->FaceElements->Nodes[INDEX2(0,k,NN)]=node0+Nstride1+Nstride0; |
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out->FaceElements->Nodes[INDEX2(1,k,NN)]=node0+Nstride1; |
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} |
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} |
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faceNECount+=local_NE0; |
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} |
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totalNECount+=NE0; |
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} |
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} |
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if (Finley_noError()) { |
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/* add tag names */ |
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Finley_Mesh_addTagMap(out,"top", 20); |
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Finley_Mesh_addTagMap(out,"bottom", 10); |
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Finley_Mesh_addTagMap(out,"left", 1); |
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Finley_Mesh_addTagMap(out,"right", 2); |
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} |
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/* prepare mesh for further calculatuions:*/ |
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if (Finley_noError()) { |
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Finley_Mesh_resolveNodeIds(out); |
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} |
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if (Finley_noError()) { |
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Finley_Mesh_prepare(out, optimize); |
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} |
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/* free up memory */ |
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Finley_ReferenceElementSet_dealloc(refPoints); |
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Finley_ReferenceElementSet_dealloc(refContactElements); |
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Finley_ReferenceElementSet_dealloc(refFaceElements); |
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Finley_ReferenceElementSet_dealloc(refElements); |
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Paso_MPIInfo_free( mpi_info ); |
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|
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return out; |
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} |