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

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Revision 1362 - (hide annotations)
Mon Dec 17 02:28:16 2007 UTC (11 years, 5 months ago) by gross
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and more on FCT solver
1 gross 1361 /* $Id:$ */
2    
3     /*******************************************************
4     *
5     * Copyright 2007 by University of Queensland
6     *
7     * http://esscc.uq.edu.au
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     /* Paso: FluxControl */
17    
18     /**************************************************************/
19    
20     /* Author: l.gross@uq.edu.au */
21    
22     /**************************************************************/
23    
24    
25     #include "Paso.h"
26     #include "SolverFCT.h"
27     #include "PasoUtil.h"
28    
29     #define FLUX_S(a,b) ((SIGN(a)+SIGN(b))/2.)
30     #define MINMOD(a,b) (FLUX_S(a,b)*MIN(ABS(a),ABS(b)))
31     #define SUPERBEE(a,b) (FLUX_S(a,b)*MAX(MIN(2*ABS(a),ABS(b)),MIN(ABS(a),2*ABS(b))))
32    
33     #define FLUX_L(a,b) SUPERBEE(a,b) /* alter for other flux limiter */
34    
35     #define FLUX_LIMITER(a) FLUX_L(a,1)
36    
37     /**************************************************************/
38    
39     /* adds A plus stabelising diffusion into the matrix B */
40    
41     /* d_ij=alpha*max(0,-a[i,j],-a[j,i]) */
42     /* b[i,j]+=alpha*(a[i,j]+d_ij) */
43     /* b[j,i]+=alpha*(a[j,i]+d_ij) */
44     /* b[i,i]-=alpha*d_ij */
45     /* b[j,j]-=alpha*d_ij */
46    
47 gross 1362 void Paso_FCTransportProblem_addDiffusion(Paso_FCTransportProblem * fc, double alpha, Paso_SystemMatrix * B) {
48 gross 1361 dim_t n,i;
49     index_t color, iptr_ij,j,iptr_ji;
50     register double d_ij;
51    
52     if (fc==NULL) return;
53 gross 1362 n=Paso_SystemMatrix_getTotalNumRows(fc->flux_matrix);
54 gross 1361 /* TODO test - same pattern + block size */
55    
56     #pragma omp parallel private(color)
57     {
58     /* process main block */
59     for (color=0;color<fc->num_colors;++color) {
60     #pragma omp for private(i,iptr_ij,j,iptr_ji,d_ij) schedule(static)
61     for (i = 0; i < n; ++i) {
62     if (fc->colorOf[i]==color) {
63 gross 1362 for (iptr_ij=fc->flux_matrix->mainBlock->pattern->ptr[i];iptr_ij<fc->flux_matrix->mainBlock->pattern->ptr[i+1]; ++iptr_ij) {
64     j=fc->flux_matrix->mainBlock->pattern->index[iptr_ij];
65 gross 1361 if (i<j) {
66     /* find entry a[j,i] */
67 gross 1362 for (iptr_ji=fc->flux_matrix->mainBlock->pattern->ptr[i];iptr_ji<fc->flux_matrix->mainBlock->pattern->ptr[j+1]-1; ++iptr_ji) {
68     if (fc->flux_matrix->mainBlock->pattern->index[iptr_ji]==i) {
69     d_ij=(-alpha)*MIN3(0.,fc->flux_matrix->mainBlock->val[iptr_ij],fc->flux_matrix->mainBlock->val[iptr_ji]);
70     B->mainBlock->val[iptr_ij]+=alpha*fc->flux_matrix->mainBlock->val[iptr_ij]+d_ij;
71     B->mainBlock->val[iptr_ji]+=alpha*fc->flux_matrix->mainBlock->val[iptr_ji]+d_ij;
72 gross 1361 B->mainBlock->val[fc->main_iptr[i]]-=d_ij;
73     B->mainBlock->val[fc->main_iptr[j]]-=d_ij;
74     break;
75     }
76     }
77     }
78    
79     }
80     /* TODO process couple block */
81     }
82     }
83     #pragma omp barrier
84     }
85     }
86    
87     }
88     /**************************************************************/
89    
90     /* adds antidiffusion to fa
91    
92     P_p[i] + = sum_j min(0,a[i,j]) min(0,u[j]-u[i])
93     P_n[i] + = sum_j min(0,a[i,j]) max(0,u[j]-u[i])
94     Q_p[i] + = sum_j max(0,a[i,j]) max(0,u[j]-u[i])
95     Q_n[i] + = sum_j max(0,a[i,j]) min(0,u[j]-u[i])
96     d_ij=max(0,-a[i,j],-a[j,i])
97     l_ji=max(0,a[j,i],a[j,i]-a[i,j])
98     if a[j,i] >= a[i,j] and 0>a[i,j] : (i.e d_ij>0 and l_ji>=l_ij)
99     r_ij = u[i]>u[j] ? Q_p[i]/P_p[i] : Q_n[i]/Q_n[i]
100     f_ij =min(FLUX_LIMITER(r_ij)*d_ij,l_ji) (u[i]-u[j])=min(FLUX_LIMITER(r_ij)*a[i,j],a[j,i]-a[i,j]) (u[i]-u[j])
101     fa[i]+=f_ij
102     fa[j]-=f_ij
103    
104     */
105    
106 gross 1362 void Paso_FCTransportProblem_setAntiDiffusiveFlux(Paso_FCTransportProblem * fc, double * u, double* fa) {
107 gross 1361
108     register double u_i,P_p,P_n,Q_p,Q_n,r_p,r_n, a_ij, d, u_j, r_ij, f_ij, a_ji;
109     double *u_remote=NULL;
110     index_t color, iptr_ij,j,iptr_ji, i;
111     dim_t n;
112    
113    
114     if (fc==NULL) return;
115 gross 1362 n=Paso_SystemMatrix_getTotalNumRows(fc->flux_matrix);
116 gross 1361 /* exchange */
117 gross 1362 Paso_SystemMatrix_allocBuffer(fc->flux_matrix);
118     Paso_SystemMatrix_startCollect(fc->flux_matrix,u);
119     u_remote=Paso_SystemMatrix_finishCollect(fc->flux_matrix);
120 gross 1361
121     #pragma omp parallel private(color)
122     {
123     for (color=0;color<fc->num_colors;++color) {
124     #pragma omp for schedule(static) private(i, u_i,P_p,P_n,Q_p,Q_n,r_p,r_n,iptr_ij,a_ij,d,j,iptr_ji, u_j, r_ij, f_ij, a_ji)
125     for (i = 0; i < n; ++i) {
126     if (fc->colorOf[i]==color) {
127     u_i=u[i];
128     /* gather the smoothness sensor */
129     P_p=0.;
130     P_n=0.;
131     Q_p=0.;
132     Q_n=0.;
133     #pragma ivdep
134 gross 1362 for (iptr_ij=(fc->flux_matrix->mainBlock->pattern->ptr[i]);iptr_ij<(fc->flux_matrix->mainBlock->pattern->ptr[i+1]); ++iptr_ij) {
135     a_ij=fc->flux_matrix->mainBlock->val[iptr_ij];
136     j=fc->flux_matrix->mainBlock->pattern->index[iptr_ij];
137 gross 1361 d=u[j]-u_i;
138     if (a_ij<0.) {
139     if (d<0.) {
140     P_p+=a_ij*d;
141     } else {
142     P_n+=a_ij*d;
143     }
144     } else {
145     if (d>0.) {
146     Q_p+=a_ij*d;
147     } else {
148     Q_n+=a_ij*d;
149     }
150     }
151     }
152     #pragma ivdep
153 gross 1362 for (iptr_ij=(fc->flux_matrix->coupleBlock->pattern->ptr[i]);iptr_ij<(fc->flux_matrix->coupleBlock->pattern->ptr[i+1]); ++iptr_ij) {
154     a_ij=fc->flux_matrix->coupleBlock->val[iptr_ij];
155     j=fc->flux_matrix->coupleBlock->pattern->index[iptr_ij];
156 gross 1361 d=u_remote[j]-u_i;
157     if (a_ij<0.) {
158     if (d<0.) {
159     P_p+=a_ij*d;
160     } else {
161     P_n+=a_ij*d;
162     }
163     } else {
164     if (d>0.) {
165     Q_p+=a_ij*d;
166     } else {
167     Q_n+=a_ij*d;
168     }
169     }
170     }
171     /* set the smoothness indicators */
172     r_p = (P_p > 0.) ? FLUX_LIMITER(Q_p/P_p) : 0.;
173     r_n = (P_n < 0 ) ? FLUX_LIMITER(Q_n/P_n) : 0.;
174     /* anti diffusive flux from main block */
175 gross 1362 for (iptr_ij=fc->flux_matrix->mainBlock->pattern->ptr[i];iptr_ij<fc->flux_matrix->mainBlock->pattern->ptr[i+1]; ++iptr_ij) {
176     a_ij=fc->flux_matrix->mainBlock->val[iptr_ij];
177     j=fc->flux_matrix->mainBlock->pattern->index[iptr_ij];
178 gross 1361 if (a_ij < 0 && i!=j) {
179     /* find entry a[j,i] */
180 gross 1362 for (iptr_ji=fc->flux_matrix->mainBlock->pattern->ptr[i];iptr_ji<fc->flux_matrix->mainBlock->pattern->ptr[j+1]-1; ++iptr_ji) {
181     if (fc->flux_matrix->mainBlock->pattern->index[iptr_ji]==i) {
182     a_ji=fc->flux_matrix->mainBlock->val[iptr_ji];
183 gross 1361 if (a_ji > a_ij || (a_ji == a_ij && j<i) ) {
184     u_j=u[j];
185     r_ij = u_i>u_j ? r_p : r_n;
186     f_ij =MIN(r_ij*a_ij,a_ji-a_ij)*(u_i-u_j);
187     fa[i]+=f_ij;
188     fa[j]-=f_ij;
189     break;
190     }
191     }
192     }
193     }
194     }
195     /* anti diffusive flux from couple block */
196    
197     /* TODO */
198     }
199     }
200     #pragma omp barrier
201     }
202     }
203     }

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