/[escript]/trunk/paso/src/FCTSolver.c
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Annotation of /trunk/paso/src/FCTSolver.c

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Revision 3005 - (hide annotations)
Thu Apr 22 05:59:31 2010 UTC (9 years, 5 months ago) by gross
File MIME type: text/plain
File size: 13408 byte(s)
early call of setPreconditioner in FCT solver removed.
1 gross 2987
2     /*******************************************************
3     *
4     * Copyright (c) 2003-2010 by University of Queensland
5     * Earth Systems Science Computational Center (ESSCC)
6     * http://www.uq.edu.au/esscc
7     *
8     * Primary Business: Queensland, Australia
9     * Licensed under the Open Software License version 3.0
10     * http://www.opensource.org/licenses/osl-3.0.php
11     *
12     *******************************************************/
13    
14    
15     /**************************************************************/
16    
17     /* Paso: Transport solver with flux corretion (L is row sum zero)
18     *
19     * - Mv_t=Lv v(0)=u
20     *
21     * to return v(dt)
22     *
23     */
24     /**************************************************************/
25    
26     /* Author: l.gross@uq.edu.au */
27    
28     /**************************************************************/
29    
30     #include "FCTSolver.h"
31     #include "Solver.h"
32     #include "PasoUtil.h"
33    
34     Paso_Function* Paso_FCTSolver_Function_alloc(Paso_TransportProblem *fctp, Paso_Options* options)
35     {
36     const dim_t n=Paso_SystemMatrix_getTotalNumRows(fctp->transport_matrix);
37     const dim_t blockSize=Paso_TransportProblem_getBlockSize(fctp);
38     Paso_Function * out=NULL;
39     Paso_FCTSolver *more=NULL;
40     out=MEMALLOC(1,Paso_Function);
41     if (! Paso_checkPtr(out)) {
42     out->kind=FCT;
43     out->mpi_info=Paso_MPIInfo_getReference(fctp->mpi_info);
44     out->n=n;
45     out->b=TMPMEMALLOC(n,double); /*b_m */
46     Paso_checkPtr(out->b);
47     out->tmp=TMPMEMALLOC(n,double); /* z_m */
48     Paso_checkPtr(out->tmp);
49    
50     more=MEMALLOC(1,Paso_FCTSolver);
51     out->more=(void*) more;
52     if (! Paso_checkPtr(more)) {
53     more->transportproblem=Paso_TransportProblem_getReference(fctp);
54     more->uTilde_n=TMPMEMALLOC(n,double);
55     Paso_checkPtr(more->uTilde_n);
56     more->QN_n=TMPMEMALLOC(n,double);
57     Paso_checkPtr(more->QN_n);
58     more->QP_n=TMPMEMALLOC(n,double);
59     Paso_checkPtr(more->QP_n);
60     more->RN_m=TMPMEMALLOC(n,double);
61     Paso_checkPtr(more->RN_m);
62     more->RP_m=TMPMEMALLOC(n,double);
63     Paso_checkPtr(more->RP_m);
64     more->QN_n_coupler=Paso_Coupler_alloc(Paso_TransportProblem_borrowConnector(fctp),blockSize);
65     more->QP_n_coupler=Paso_Coupler_alloc(Paso_TransportProblem_borrowConnector(fctp),blockSize);
66     more->RN_m_coupler=Paso_Coupler_alloc(Paso_TransportProblem_borrowConnector(fctp),blockSize);
67     more->RP_m_coupler=Paso_Coupler_alloc(Paso_TransportProblem_borrowConnector(fctp),blockSize);
68     more->uTilde_n_coupler=Paso_Coupler_alloc(Paso_TransportProblem_borrowConnector(fctp),blockSize);
69     more->u_m_coupler=Paso_Coupler_alloc(Paso_TransportProblem_borrowConnector(fctp),blockSize);
70     more->flux_matrix_m=Paso_SystemMatrix_alloc(fctp->transport_matrix->type,
71     fctp->transport_matrix->pattern,
72     fctp->transport_matrix->row_block_size,
73     fctp->transport_matrix->col_block_size, TRUE);
74    
75     }
76     }
77     if (Paso_noError()) {
78     return out;
79     } else {
80     Paso_FCTSolver_Function_free(out);
81     return NULL;
82     }
83     }
84    
85     void Paso_FCTSolver_Function_free(Paso_Function * in)
86     {
87     Paso_FCTSolver *more=NULL;
88     if (in!=NULL) {
89     Paso_MPIInfo_free(in->mpi_info);
90     MEMFREE(in->tmp);
91     MEMFREE(in->b);
92     more=(Paso_FCTSolver *) (in->more);
93     if (NULL !=more) {
94     Paso_TransportProblem_free(more->transportproblem);
95     Paso_SystemMatrix_free(more->flux_matrix_m);
96     TMPMEMFREE(more->uTilde_n);
97     TMPMEMFREE(more->QN_n);
98     TMPMEMFREE(more->QP_n);
99     TMPMEMFREE(more->RN_m);
100     TMPMEMFREE(more->RP_m);
101     Paso_Coupler_free(more->QN_n_coupler);
102     Paso_Coupler_free(more->QP_n_coupler);
103     Paso_Coupler_free(more->RN_m_coupler);
104     Paso_Coupler_free(more->RP_m_coupler);
105     Paso_Coupler_free(more->uTilde_n_coupler);
106     Paso_Coupler_free(more->u_m_coupler);
107     }
108     MEMFREE(in);
109     }
110     }
111     double Paso_FCTSolver_getSafeTimeStepSize(Paso_TransportProblem* fctp)
112     {
113     dim_t i, n;
114     double dt_max=LARGE_POSITIVE_FLOAT, dt_max_loc;
115     register double l_ii,m;
116     n=Paso_SystemMatrix_getTotalNumRows(fctp->transport_matrix);
117    
118 gross 3005
119     /* set low order transport operator */
120     Paso_FCTSolver_setLowOrderOperator(fctp);
121 gross 2987
122     if (Paso_noError()) {
123     /*
124     * calculate time step size:
125     */
126     dt_max=LARGE_POSITIVE_FLOAT;
127     #pragma omp parallel private(dt_max_loc)
128     {
129     dt_max_loc=LARGE_POSITIVE_FLOAT;
130     #pragma omp for schedule(static) private(i,l_ii,m)
131     for (i=0;i<n;++i) {
132     l_ii=fctp->main_diagonal_low_order_transport_matrix[i];
133     m=fctp->lumped_mass_matrix[i];
134     if ( (l_ii<0 && m>0.) || (l_ii>0 && m<0) ) {
135     dt_max_loc=MIN(dt_max_loc,-m/l_ii);
136     }
137     }
138     #pragma omp critical
139     {
140     dt_max=MIN(dt_max,dt_max_loc);
141     }
142     }
143     #ifdef PASO_MPI
144     dt_max_loc = dt_max;
145     MPI_Allreduce(&dt_max_loc, &dt_max, 1, MPI_DOUBLE, MPI_MIN, fctp->mpi_info->comm);
146     #endif
147     if (dt_max<LARGE_POSITIVE_FLOAT) dt_max*=fctp->dt_factor;
148     }
149     return dt_max;
150     }
151     /*
152     * evaluates F as
153     * (m_i*omega - l_ij)*(F_j/omega)
154     * =(m u^n[i] + dt*(1-theta) sum_{j <> i} l_{ij}*(u^n[j]-u^n[i]))-(m_i*u[i] - dt*theta*sum_{j<>i} l_{ij} (u[j]-u[i]) )- antidiffusion
155     *
156     */
157     err_t Paso_FCTSolver_Function_call(Paso_Function * F,double* value, const double* arg, Paso_Performance *pp)
158     {
159 gross 3005 Paso_Options options;
160 gross 2987 Paso_FCTSolver *more=(Paso_FCTSolver *) (F->more);
161 gross 3005 Paso_Options_setDefaults(&options);
162     options.verbose=TRUE;
163 gross 2987
164     /* set z_m in tmp */
165     Paso_FCTSolver_setUpRightHandSide(more->transportproblem,more->dt,arg,more->u_m_coupler,F->tmp,more->flux_matrix_m,
166     more->uTilde_n_coupler,F->b,
167     more->QN_n_coupler,more->QP_n_coupler,more->RN_m,
168     more->RN_m_coupler,more->RP_m,more->RP_m_coupler,pp);
169     /* apply preconditoner do get du = */
170 gross 3005 /* Paso_Solver(more->transportproblem->iteration_matrix,value,F->tmp,&options,pp); */
171    
172    
173 gross 2987 Paso_Solver_solvePreconditioner(more->transportproblem->iteration_matrix,value,F->tmp);
174     return NO_ERROR;
175     }
176    
177     err_t Paso_FCTSolver_solve(Paso_Function* F, double* u, double dt, Paso_Options* options, Paso_Performance *pp)
178     {
179     double norm_u_tilde, ATOL, norm_u, norm_du, *du=NULL;
180     err_t errorCode=SOLVER_NO_ERROR;
181     Paso_FCTSolver *more=(Paso_FCTSolver *) (F->more);
182     const double omega=1./dt*( more->transportproblem->useBackwardEuler ? 1. : 2.);
183     Paso_TransportProblem* fctp=more->transportproblem;
184     const dim_t n=Paso_SystemMatrix_getTotalNumRows(fctp->transport_matrix);
185     const double atol=options->absolute_tolerance;
186     const double rtol=options->tolerance;
187     const dim_t max_m=options->iter_max;
188     dim_t m=0;
189     bool_t converged=FALSE, max_m_reached=FALSE;
190    
191     /* tolerance? */
192     more->dt=dt;
193     Paso_FCTSolver_setUp(fctp,dt,u, F->b,more->uTilde_n,more->uTilde_n_coupler,more->QN_n,more->QN_n_coupler,more->QP_n,more->QP_n_coupler,
194     options,pp);
195    
196    
197     norm_u_tilde=Paso_lsup(n,more->uTilde_n,F->mpi_info);
198     ATOL= rtol * norm_u_tilde + atol ;
199     if (options->verbose) printf("Paso_FCTSolver_solve: iteration starts u_tilda lsup = %e (abs. tol = %e)\n",norm_u_tilde,ATOL);
200 gross 3005 if (more->transportproblem->useBackwardEuler && FALSE ) {
201 gross 2987 options->absolute_tolerance = ATOL/omega;
202     options->tolerance=0;
203     errorCode=Paso_Solver_NewtonGMRES(F,u,options,pp);
204     options->absolute_tolerance=atol;
205     options->tolerance=rtol;
206     } else {
207     m=0;
208     converged=FALSE;
209     max_m_reached=FALSE;
210     du=MEMALLOC(n,double);
211     if (Paso_checkPtr(du)) {
212     errorCode=SOLVER_MEMORY_ERROR;
213     } else {
214     /* tolerance? */
215    
216     while ( (!converged) && (! max_m_reached) && Paso_noError()) {
217     errorCode=Paso_FCTSolver_Function_call(F,du, u, pp);
218     Paso_Update(n,1.,u,omega,du);
219     norm_u=Paso_lsup(n,u, fctp->mpi_info);
220     norm_du=Paso_lsup(n,du, fctp->mpi_info);
221     if (options->verbose) printf("Paso_FCTSolver_solve: step %d: increment= %e (tolerance = %e)\n",m+1, norm_du*omega, ATOL);
222     max_m_reached=(m>max_m);
223     converged=(norm_du*omega <= ATOL) ;
224     m++;
225     }
226     }
227     MEMFREE(du);
228     if (errorCode == SOLVER_NO_ERROR) {
229     if (converged) {
230     if (options->verbose) printf("Paso_FCTSolver_solve: iteration is completed.\n");
231     errorCode=SOLVER_NO_ERROR;
232     } else if (max_m_reached) {
233     errorCode=SOLVER_MAXITER_REACHED;
234     }
235     }
236     }
237     return errorCode;
238     }
239    
240    
241    
242     err_t Paso_FCTSolver_setUpRightHandSide(Paso_TransportProblem* fctp, const double dt, const double *u_m,
243     Paso_Coupler* u_m_coupler, double * z_m,
244     Paso_SystemMatrix* flux_matrix, Paso_Coupler* uTilde_coupler, const double *b,
245     Paso_Coupler* QN_coupler, Paso_Coupler* QP_coupler,
246     double *RN_m, Paso_Coupler* RN_m_coupler, double* RP_m, Paso_Coupler* RP_m_coupler,
247     Paso_Performance* pp)
248     {
249 gross 3005 const double omega=dt* (fctp->useBackwardEuler ? 1. : 0.5);
250 gross 2987 const dim_t n=Paso_SystemMatrix_getTotalNumRows(fctp->transport_matrix);
251     /* distribute u */
252     Paso_Coupler_startCollect(u_m_coupler,u_m);
253     Paso_Coupler_finishCollect(u_m_coupler);
254     /*
255     * set the ant diffusion fluxes:
256     *
257     */
258     Paso_FCTSolver_setAntiDiffusionFlux(dt,fctp,flux_matrix,u_m_coupler);
259     /*
260     * apply pre flux-correction: f_{ij}:=0 if f_{ij}*(\tilde{u}[i]- \tilde{u}[j])<=0
261     *
262     */
263     Paso_FCTSolver_applyPreAntiDiffusionCorrection(flux_matrix,uTilde_coupler);
264     /*
265     * set flux limiters RN_m,RP_m
266     *
267     */
268     Paso_FCTSolver_setRs(flux_matrix,fctp->lumped_mass_matrix,QN_coupler,QP_coupler,RN_m,RP_m);
269     Paso_Coupler_startCollect(RN_m_coupler,RN_m);
270     Paso_Coupler_startCollect(RP_m_coupler,RP_m);
271     /*
272     * z_m[i]=b[i] - (m_i*u_m[i] - dt*theta*sum_{j<>i} l_{ij} (u_m[j]-u_m[i]) )
273     *
274     * note that iteration_matrix stores the negative values of the
275     * low order transport matrix l therefore a=dt*theta is used.
276     */
277 gross 3005 Paso_FCTSolver_setMuPaLu(z_m, fctp->lumped_mass_matrix, u_m_coupler, omega, fctp->iteration_matrix);
278 gross 2987 /*{
279     int kk;
280     for (kk=0;kk<n;kk++) printf("z_m %d : %e %e -> %e\n",kk,z_m[kk], b[kk],z_m[kk]-b[kk]);
281     }
282     */
283     /* z_m=b-z_m */
284     Paso_Update(n,-1.,z_m,1.,b);
285    
286     Paso_Coupler_finishCollect(RN_m_coupler);
287     Paso_Coupler_finishCollect(RP_m_coupler);
288     /* add corrected fluxes into z_m */
289 gross 3005 Paso_FCTSolver_addCorrectedFluxes(z_m,flux_matrix,RN_m_coupler,RP_m_coupler);
290 gross 2987 return SOLVER_NO_ERROR;
291     }
292    
293     void Paso_FCTSolver_setUp(Paso_TransportProblem* fctp, const double dt, const double *u, double* b, double* uTilde,
294     Paso_Coupler* uTilde_coupler, double *QN, Paso_Coupler* QN_coupler, double *QP, Paso_Coupler* QP_coupler,
295     Paso_Options* options, Paso_Performance* pp)
296     {
297     dim_t i;
298 gross 3005 const index_t* main_iptr=NULL;
299 gross 2987 const dim_t n=Paso_SystemMatrix_getTotalNumRows(fctp->transport_matrix);
300 gross 3005 const double theta = (fctp->useBackwardEuler ? 1. : 0.5);
301     const double omega=1./(dt* theta);
302     register double m, u_tilde_i, rtmp4;
303     main_iptr=Paso_TransportProblem_borrowMainDiagonalPointer(fctp);
304 gross 2987 /* distribute u */
305     Paso_Coupler_startCollect(fctp->u_coupler,u);
306     Paso_Coupler_finishCollect(fctp->u_coupler);
307     /*
308     * b^n[i]=m u^n[i] + dt*(1-theta) sum_{j <> i} l_{ij}*(u^n[j]-u^n[i])
309     *
310     * note that iteration_matrix stores the negative values of the
311     * low order transport matrix l therefore a=-dt*(1-fctp->theta) is used.
312     *
313     */
314     if (fctp->useBackwardEuler) {
315     Paso_FCTSolver_setMuPaLu(b,fctp->lumped_mass_matrix,fctp->u_coupler,0.,fctp->iteration_matrix);
316     } else {
317     Paso_FCTSolver_setMuPaLu(b,fctp->lumped_mass_matrix,fctp->u_coupler,-dt*0.5,fctp->iteration_matrix);
318     }
319     /*
320     * uTilde[i]=b[i]/m[i]
321     *
322     * fctp->iteration_matrix[i,i]=m[i]/(dt theta) -l[i,i]
323     *
324     */
325     Paso_solve_free(fctp->iteration_matrix);
326     #pragma omp parallel for private(i,m,u_tilde_i,rtmp4)
327     for (i = 0; i < n; ++i) {
328     m=fctp->lumped_mass_matrix[i];
329     u_tilde_i=b[i]/m;
330 gross 3005 rtmp4=m*omega-(fctp->main_diagonal_low_order_transport_matrix[i]);
331     fctp->iteration_matrix->mainBlock->val[main_iptr[i]]=rtmp4;
332 gross 2987 uTilde[i]=u_tilde_i;
333     }
334     Performance_startMonitor(pp,PERFORMANCE_PRECONDITIONER_INIT);
335     Paso_Solver_setPreconditioner(fctp->iteration_matrix,options);
336     Performance_stopMonitor(pp,PERFORMANCE_PRECONDITIONER_INIT);
337    
338     /* distribute uTilde: */
339     Paso_Coupler_startCollect(uTilde_coupler,uTilde);
340     Paso_Coupler_finishCollect(uTilde_coupler);
341     /*
342     * calculate QP[i] max_{j} (\tilde{u}[j]- \tilde{u}[i] )
343     * QN[i] min_{j} (\tilde{u}[j]- \tilde{u}[i] )
344     *
345     */
346     Paso_FCTSolver_setQs(uTilde_coupler,QN,QP,fctp->iteration_matrix);
347     Paso_Coupler_startCollect(QN_coupler,QN);
348     Paso_Coupler_startCollect(QP_coupler,QP);
349     Paso_Coupler_finishCollect(QN_coupler);
350     Paso_Coupler_finishCollect(QP_coupler);
351     }

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