542 lines
15 KiB
C
542 lines
15 KiB
C
/*BHEADER**********************************************************************
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* Copyright (c) 2006 The Regents of the University of California.
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* Produced at the Lawrence Livermore National Laboratory.
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* Written by the HYPRE team. UCRL-CODE-222953.
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* All rights reserved.
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*
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* This file is part of HYPRE (see http://www.llnl.gov/CASC/hypre/).
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* Please see the COPYRIGHT_and_LICENSE file for the copyright notice,
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* disclaimer, contact information and the GNU Lesser General Public License.
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*
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* HYPRE is free software; you can redistribute it and/or modify it under the
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* terms of the GNU General Public License (as published by the Free Software
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* Foundation) version 2.1 dated February 1999.
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*
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* HYPRE is distributed in the hope that it will be useful, but WITHOUT ANY
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* WARRANTY; without even the IMPLIED WARRANTY OF MERCHANTABILITY or FITNESS
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* FOR A PARTICULAR PURPOSE. See the terms and conditions of the GNU General
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* Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public License
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* along with this program; if not, write to the Free Software Foundation,
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* Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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*
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* $Revision$
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***********************************************************************EHEADER*/
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#include "headers.h"
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/*--------------------------------------------------------------------------
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* hypre_GenerateVarDifConv
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*--------------------------------------------------------------------------*/
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HYPRE_ParCSRMatrix
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GenerateVarDifConv( MPI_Comm comm,
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int nx,
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int ny,
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int nz,
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int P,
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int Q,
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int R,
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int p,
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int q,
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int r,
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double eps,
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HYPRE_ParVector *rhs_ptr)
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{
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hypre_ParCSRMatrix *A;
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hypre_CSRMatrix *diag;
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hypre_CSRMatrix *offd;
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hypre_ParVector *par_rhs;
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hypre_Vector *rhs;
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double *rhs_data;
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int *diag_i;
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int *diag_j;
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double *diag_data;
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int *offd_i;
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int *offd_j;
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double *offd_data;
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int *global_part;
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int ix, iy, iz;
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int cnt, o_cnt;
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int local_num_rows;
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int *col_map_offd;
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int row_index;
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int i,j;
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int nx_local, ny_local, nz_local;
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int nx_size, ny_size, nz_size;
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int num_cols_offd;
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int grid_size;
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int *nx_part;
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int *ny_part;
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int *nz_part;
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int num_procs, my_id;
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int P_busy, Q_busy, R_busy;
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double hhx, hhy, hhz;
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double xx, yy, zz;
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double afp, afm, bfp, bfm, cfp, cfm, df, ef, ff, gf;
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MPI_Comm_size(comm,&num_procs);
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MPI_Comm_rank(comm,&my_id);
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grid_size = nx*ny*nz;
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hypre_GeneratePartitioning(nx,P,&nx_part);
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hypre_GeneratePartitioning(ny,Q,&ny_part);
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hypre_GeneratePartitioning(nz,R,&nz_part);
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global_part = hypre_CTAlloc(int,P*Q*R+1);
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global_part[0] = 0;
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cnt = 1;
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for (iz = 0; iz < R; iz++)
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{
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nz_size = nz_part[iz+1]-nz_part[iz];
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for (iy = 0; iy < Q; iy++)
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{
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ny_size = ny_part[iy+1]-ny_part[iy];
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for (ix = 0; ix < P; ix++)
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{
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nx_size = nx_part[ix+1] - nx_part[ix];
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global_part[cnt] = global_part[cnt-1];
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global_part[cnt++] += nx_size*ny_size*nz_size;
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}
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}
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}
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nx_local = nx_part[p+1] - nx_part[p];
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ny_local = ny_part[q+1] - ny_part[q];
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nz_local = nz_part[r+1] - nz_part[r];
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my_id = r*(P*Q) + q*P + p;
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num_procs = P*Q*R;
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local_num_rows = nx_local*ny_local*nz_local;
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diag_i = hypre_CTAlloc(int, local_num_rows+1);
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offd_i = hypre_CTAlloc(int, local_num_rows+1);
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rhs_data = hypre_CTAlloc(double, local_num_rows);
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P_busy = hypre_min(nx,P);
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Q_busy = hypre_min(ny,Q);
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R_busy = hypre_min(nz,R);
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num_cols_offd = 0;
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if (p) num_cols_offd += ny_local*nz_local;
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if (p < P_busy-1) num_cols_offd += ny_local*nz_local;
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if (q) num_cols_offd += nx_local*nz_local;
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if (q < Q_busy-1) num_cols_offd += nx_local*nz_local;
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if (r) num_cols_offd += nx_local*ny_local;
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if (r < R_busy-1) num_cols_offd += nx_local*ny_local;
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if (!local_num_rows) num_cols_offd = 0;
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col_map_offd = hypre_CTAlloc(int, num_cols_offd);
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hhx = 1.0/(double)(nx+1);
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hhy = 1.0/(double)(ny+1);
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hhz = 1.0/(double)(nz+1);
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cnt = 1;
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o_cnt = 1;
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diag_i[0] = 0;
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offd_i[0] = 0;
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for (iz = nz_part[r]; iz < nz_part[r+1]; iz++)
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{
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for (iy = ny_part[q]; iy < ny_part[q+1]; iy++)
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{
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for (ix = nx_part[p]; ix < nx_part[p+1]; ix++)
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{
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diag_i[cnt] = diag_i[cnt-1];
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offd_i[o_cnt] = offd_i[o_cnt-1];
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diag_i[cnt]++;
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if (iz > nz_part[r])
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diag_i[cnt]++;
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else
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{
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if (iz)
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{
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offd_i[o_cnt]++;
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}
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}
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if (iy > ny_part[q])
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diag_i[cnt]++;
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else
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{
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if (iy)
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{
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offd_i[o_cnt]++;
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}
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}
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if (ix > nx_part[p])
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diag_i[cnt]++;
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else
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{
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if (ix)
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{
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offd_i[o_cnt]++;
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}
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}
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if (ix+1 < nx_part[p+1])
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diag_i[cnt]++;
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else
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{
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if (ix+1 < nx)
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{
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offd_i[o_cnt]++;
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}
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}
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if (iy+1 < ny_part[q+1])
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diag_i[cnt]++;
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else
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{
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if (iy+1 < ny)
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{
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offd_i[o_cnt]++;
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}
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}
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if (iz+1 < nz_part[r+1])
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diag_i[cnt]++;
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else
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{
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if (iz+1 < nz)
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{
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offd_i[o_cnt]++;
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}
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}
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cnt++;
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o_cnt++;
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}
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}
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}
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diag_j = hypre_CTAlloc(int, diag_i[local_num_rows]);
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diag_data = hypre_CTAlloc(double, diag_i[local_num_rows]);
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if (num_procs > 1)
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{
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offd_j = hypre_CTAlloc(int, offd_i[local_num_rows]);
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offd_data = hypre_CTAlloc(double, offd_i[local_num_rows]);
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}
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row_index = 0;
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cnt = 0;
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o_cnt = 0;
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for (iz = nz_part[r]; iz < nz_part[r+1]; iz++)
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{
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zz = (double)(iz+1)*hhz;
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for (iy = ny_part[q]; iy < ny_part[q+1]; iy++)
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{
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yy = (double)(iy+1)*hhy;
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for (ix = nx_part[p]; ix < nx_part[p+1]; ix++)
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{
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xx = (double)(ix+1)*hhx;
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afp = eps*afun(xx+0.5*hhx,yy,zz)/hhx/hhx;
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afm = eps*afun(xx-0.5*hhx,yy,zz)/hhx/hhx;
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bfp = eps*bfun(xx,yy+0.5*hhy,zz)/hhy/hhy;
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bfm = eps*bfun(xx,yy-0.5*hhy,zz)/hhy/hhy;
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cfp = eps*cfun(xx,yy,zz+0.5*hhz)/hhz/hhz;
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cfm = eps*cfun(xx,yy,zz-0.5*hhz)/hhz/hhz;
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df = dfun(xx,yy,zz)/hhx;
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ef = efun(xx,yy,zz)/hhy;
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ff = ffun(xx,yy,zz)/hhz;
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gf = gfun(xx,yy,zz);
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diag_j[cnt] = row_index;
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diag_data[cnt++] = afp+afm+bfp+bfm+cfp+cfm+gf-df-ef-ff;
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rhs_data[row_index] = rfun(xx,yy,zz);
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if (ix == 0) rhs_data[row_index] += afm*bndfun(0,yy,zz);
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if (iy == 0) rhs_data[row_index] += bfm*bndfun(xx,0,zz);
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if (iz == 0) rhs_data[row_index] += cfm*bndfun(xx,yy,0);
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if (ix+1 == nx) rhs_data[row_index] += (afp-df)*bndfun(1.0,yy,zz);
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if (iy+1 == ny) rhs_data[row_index] += (bfp-ef)*bndfun(xx,1.0,zz);
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if (iz+1 == nz) rhs_data[row_index] += (cfp-ff)*bndfun(xx,yy,1.0);
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if (iz > nz_part[r])
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{
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diag_j[cnt] = row_index-nx_local*ny_local;
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diag_data[cnt++] = -cfm;
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}
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else
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{
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if (iz)
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{
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offd_j[o_cnt] = hypre_map(ix,iy,iz-1,p,q,r-1,P,Q,R,
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nx_part,ny_part,nz_part,global_part);
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offd_data[o_cnt++] = -cfm;
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}
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}
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if (iy > ny_part[q])
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{
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diag_j[cnt] = row_index-nx_local;
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diag_data[cnt++] = -bfm;
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}
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else
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{
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if (iy)
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{
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offd_j[o_cnt] = hypre_map(ix,iy-1,iz,p,q-1,r,P,Q,R,
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nx_part,ny_part,nz_part,global_part);
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offd_data[o_cnt++] = -bfm;
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}
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}
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if (ix > nx_part[p])
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{
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diag_j[cnt] = row_index-1;
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diag_data[cnt++] = -afm;
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}
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else
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{
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if (ix)
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{
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offd_j[o_cnt] = hypre_map(ix-1,iy,iz,p-1,q,r,P,Q,R,
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nx_part,ny_part,nz_part,global_part);
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offd_data[o_cnt++] = -afm;
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}
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}
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if (ix+1 < nx_part[p+1])
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{
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diag_j[cnt] = row_index+1;
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diag_data[cnt++] = -afp+df;
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}
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else
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{
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if (ix+1 < nx)
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{
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offd_j[o_cnt] = hypre_map(ix+1,iy,iz,p+1,q,r,P,Q,R,
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nx_part,ny_part,nz_part,global_part);
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offd_data[o_cnt++] = -afp+df;
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}
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}
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if (iy+1 < ny_part[q+1])
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{
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diag_j[cnt] = row_index+nx_local;
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diag_data[cnt++] = -bfp +ef;
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}
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else
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{
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if (iy+1 < ny)
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{
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offd_j[o_cnt] = hypre_map(ix,iy+1,iz,p,q+1,r,P,Q,R,
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nx_part,ny_part,nz_part,global_part);
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offd_data[o_cnt++] = -bfp+ef;
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}
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}
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if (iz+1 < nz_part[r+1])
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{
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diag_j[cnt] = row_index+nx_local*ny_local;
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diag_data[cnt++] = -cfp+ff;
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}
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else
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{
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if (iz+1 < nz)
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{
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offd_j[o_cnt] = hypre_map(ix,iy,iz+1,p,q,r+1,P,Q,R,
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nx_part,ny_part,nz_part,global_part);
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offd_data[o_cnt++] = -cfp+ff;
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}
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}
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row_index++;
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}
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}
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}
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if (num_procs > 1)
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{
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for (i=0; i < num_cols_offd; i++)
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col_map_offd[i] = offd_j[i];
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qsort0(col_map_offd, 0, num_cols_offd-1);
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for (i=0; i < num_cols_offd; i++)
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for (j=0; j < num_cols_offd; j++)
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if (offd_j[i] == col_map_offd[j])
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{
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offd_j[i] = j;
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break;
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}
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}
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par_rhs = hypre_ParVectorCreate(comm, grid_size, global_part);
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rhs = hypre_ParVectorLocalVector(par_rhs);
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hypre_VectorData(rhs) = rhs_data;
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A = hypre_ParCSRMatrixCreate(comm, grid_size, grid_size,
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global_part, global_part, num_cols_offd,
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diag_i[local_num_rows],
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offd_i[local_num_rows]);
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hypre_ParCSRMatrixColMapOffd(A) = col_map_offd;
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diag = hypre_ParCSRMatrixDiag(A);
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hypre_CSRMatrixI(diag) = diag_i;
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hypre_CSRMatrixJ(diag) = diag_j;
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hypre_CSRMatrixData(diag) = diag_data;
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offd = hypre_ParCSRMatrixOffd(A);
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hypre_CSRMatrixI(offd) = offd_i;
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if (num_cols_offd)
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{
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hypre_CSRMatrixJ(offd) = offd_j;
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hypre_CSRMatrixData(offd) = offd_data;
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}
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hypre_TFree(nx_part);
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hypre_TFree(ny_part);
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hypre_TFree(nz_part);
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*rhs_ptr = (HYPRE_ParVector) par_rhs;
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return (HYPRE_ParCSRMatrix) A;
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}
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double afun(double xx, double yy, double zz)
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{
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double value;
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/* value = 1.0 + 1000.0*fabs(xx-yy); */
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if ((xx < 0.1 && yy < 0.1 && zz < 0.1)
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|| (xx < 0.1 && yy < 0.1 && zz > 0.9)
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|| (xx < 0.1 && yy > 0.9 && zz < 0.1)
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|| (xx > 0.9 && yy < 0.1 && zz < 0.1)
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|| (xx > 0.9 && yy > 0.9 && zz < 0.1)
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|| (xx > 0.9 && yy < 0.1 && zz > 0.9)
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|| (xx < 0.1 && yy > 0.9 && zz > 0.9)
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|| (xx > 0.9 && yy > 0.9 && zz > 0.9))
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value = 0.01;
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else if (xx >= 0.1 && xx <= 0.9
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&& yy >= 0.1 && yy <= 0.9
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&& zz >= 0.1 && zz <= 0.9)
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value = 1000.0;
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else
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value = 1.0 ;
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/* double value, pi;
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pi = 4.0 * atan(1.0);
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value = cos(pi*xx)*cos(pi*yy); */
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return value;
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}
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double bfun(double xx, double yy, double zz)
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{
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double value;
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/* value = 1.0 + 1000.0*fabs(xx-yy); */
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if ((xx < 0.1 && yy < 0.1 && zz < 0.1)
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|| (xx < 0.1 && yy < 0.1 && zz > 0.9)
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|| (xx < 0.1 && yy > 0.9 && zz < 0.1)
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|| (xx > 0.9 && yy < 0.1 && zz < 0.1)
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|| (xx > 0.9 && yy > 0.9 && zz < 0.1)
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|| (xx > 0.9 && yy < 0.1 && zz > 0.9)
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|| (xx < 0.1 && yy > 0.9 && zz > 0.9)
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|| (xx > 0.9 && yy > 0.9 && zz > 0.9))
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value = 0.01;
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else if (xx >= 0.1 && xx <= 0.9
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&& yy >= 0.1 && yy <= 0.9
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&& zz >= 0.1 && zz <= 0.9)
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value = 1000.0;
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else
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value = 1.0 ;
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/* double value, pi;
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pi = 4.0 * atan(1.0);
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value = 1.0 - 2.0*xx;
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value = cos(pi*xx)*cos(pi*yy); */
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/* double value;
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value = 1.0 + 1000.0 * fabs(xx-yy);
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double value, x0, y0;
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x0 = fabs(xx - 0.5);
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y0 = fabs(yy - 0.5);
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if (y0 > x0) x0 = y0;
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if (x0 >= 0.125 && x0 <= 0.25)
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value = 1.0;
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else
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value = 1000.0;*/
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return value;
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}
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double cfun(double xx, double yy, double zz)
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{
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double value;
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if ((xx < 0.1 && yy < 0.1 && zz < 0.1)
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|| (xx < 0.1 && yy < 0.1 && zz > 0.9)
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|| (xx < 0.1 && yy > 0.9 && zz < 0.1)
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|| (xx > 0.9 && yy < 0.1 && zz < 0.1)
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|| (xx > 0.9 && yy > 0.9 && zz < 0.1)
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|| (xx > 0.9 && yy < 0.1 && zz > 0.9)
|
|
|| (xx < 0.1 && yy > 0.9 && zz > 0.9)
|
|
|| (xx > 0.9 && yy > 0.9 && zz > 0.9))
|
|
value = 0.01;
|
|
else if (xx >= 0.1 && xx <= 0.9
|
|
&& yy >= 0.1 && yy <= 0.9
|
|
&& zz >= 0.1 && zz <= 0.9)
|
|
value = 1000.0;
|
|
else
|
|
value = 1.0 ;
|
|
/*if (xx <= 0.75 && yy <= 0.75 && zz <= 0.75)
|
|
value = 0.1;
|
|
else if (xx > 0.75 && yy > 0.75 && zz > 0.75)
|
|
value = 100000;
|
|
else
|
|
value = 1.0 ;*/
|
|
return value;
|
|
}
|
|
|
|
double dfun(double xx, double yy, double zz)
|
|
{
|
|
double value;
|
|
/*double pi;
|
|
pi = 4.0 * atan(1.0);
|
|
value = -sin(pi*xx)*cos(pi*yy);*/
|
|
value = 0;
|
|
return value;
|
|
}
|
|
|
|
double efun(double xx, double yy, double zz)
|
|
{
|
|
double value;
|
|
/*double pi;
|
|
pi = 4.0 * atan(1.0);
|
|
value = sin(pi*yy)*cos(pi*xx);*/
|
|
value = 0;
|
|
return value;
|
|
}
|
|
|
|
double ffun(double xx, double yy, double zz)
|
|
{
|
|
double value;
|
|
value = 0.0;
|
|
return value;
|
|
}
|
|
|
|
double gfun(double xx, double yy, double zz)
|
|
{
|
|
double value;
|
|
value = 0.0;
|
|
return value;
|
|
}
|
|
|
|
double rfun(double xx, double yy, double zz)
|
|
{
|
|
/* double value, pi;
|
|
pi = 4.0 * atan(1.0);
|
|
value = -4.0*pi*pi*sin(pi*xx)*sin(pi*yy)*cos(pi*xx)*cos(pi*yy); */
|
|
double value;
|
|
/* value = xx*(1.0-xx)*yy*(1.0-yy); */
|
|
value = 1.0;
|
|
return value;
|
|
}
|
|
|
|
double bndfun(double xx, double yy, double zz)
|
|
{
|
|
double value;
|
|
/*double pi;
|
|
pi = 4.0 * atan(1.0);
|
|
value = sin(pi*xx)+sin(13*pi*xx)+sin(pi*yy)+sin(13*pi*yy);*/
|
|
value = 0.0;
|
|
return value;
|
|
}
|