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

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Revision 1363 - (show annotations)
Mon Dec 17 03:42:03 2007 UTC (12 years, 2 months ago) by gross
File MIME type: text/plain
File size: 8304 byte(s)
initialization for FCT solver added.
1 /* $Id:$ */
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 void Paso_FCTransportProblem_addAdvectivePart(Paso_FCTransportProblem * fc, double alpha) {
48 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 n=Paso_SystemMatrix_getTotalNumRows(fc->flux_matrix);
54
55 #pragma omp parallel private(color)
56 {
57 /* process main block */
58 for (color=0;color<fc->num_colors;++color) {
59 #pragma omp for private(i,iptr_ij,j,iptr_ji,d_ij) schedule(static)
60 for (i = 0; i < n; ++i) {
61 if (fc->colorOf[i]==color) {
62 for (iptr_ij=fc->flux_matrix->mainBlock->pattern->ptr[i];iptr_ij<fc->flux_matrix->mainBlock->pattern->ptr[i+1]; ++iptr_ij) {
63 j=fc->flux_matrix->mainBlock->pattern->index[iptr_ij];
64 if (i<j) {
65 /* find entry a[j,i] */
66 for (iptr_ji=fc->flux_matrix->mainBlock->pattern->ptr[i];iptr_ji<fc->flux_matrix->mainBlock->pattern->ptr[j+1]-1; ++iptr_ji) {
67 if (fc->flux_matrix->mainBlock->pattern->index[iptr_ji]==i) {
68 d_ij=(-alpha)*MIN3(0.,fc->flux_matrix->mainBlock->val[iptr_ij],fc->flux_matrix->mainBlock->val[iptr_ji]);
69 fc->transport_matrix->mainBlock->val[iptr_ij]+=alpha*fc->flux_matrix->mainBlock->val[iptr_ij]+d_ij;
70 fc->transport_matrix->mainBlock->val[iptr_ji]+=alpha*fc->flux_matrix->mainBlock->val[iptr_ji]+d_ij;
71 fc->transport_matrix->mainBlock->val[fc->main_iptr[i]]-=d_ij;
72 fc->transport_matrix->mainBlock->val[fc->main_iptr[j]]-=d_ij;
73 break;
74 }
75 }
76 }
77
78 }
79 /* TODO process couple block */
80 }
81 }
82 #pragma omp barrier
83 }
84 }
85
86 }
87 /**************************************************************/
88
89 /* adds antidiffusion to fa
90
91 P_p[i] + = sum_j min(0,a[i,j]) min(0,u[j]-u[i])
92 P_n[i] + = sum_j min(0,a[i,j]) max(0,u[j]-u[i])
93 Q_p[i] + = sum_j max(0,a[i,j]) max(0,u[j]-u[i])
94 Q_n[i] + = sum_j max(0,a[i,j]) min(0,u[j]-u[i])
95 d_ij=max(0,-a[i,j],-a[j,i])
96 l_ji=max(0,a[j,i],a[j,i]-a[i,j])
97 if a[j,i] >= a[i,j] and 0>a[i,j] : (i.e d_ij>0 and l_ji>=l_ij)
98 r_ij = u[i]>u[j] ? Q_p[i]/P_p[i] : Q_n[i]/Q_n[i]
99 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])
100 fa[i]+=f_ij
101 fa[j]-=f_ij
102
103 */
104
105 void Paso_FCTransportProblem_setAntiDiffusiveFlux(Paso_FCTransportProblem * fc, double * u, double* fa) {
106
107 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;
108 double *u_remote=NULL;
109 index_t color, iptr_ij,j,iptr_ji, i;
110 dim_t n;
111
112
113 if (fc==NULL) return;
114 n=Paso_SystemMatrix_getTotalNumRows(fc->flux_matrix);
115 /* exchange */
116 Paso_SystemMatrix_allocBuffer(fc->flux_matrix);
117 Paso_SystemMatrix_startCollect(fc->flux_matrix,u);
118 u_remote=Paso_SystemMatrix_finishCollect(fc->flux_matrix);
119
120 #pragma omp parallel private(color)
121 {
122 for (color=0;color<fc->num_colors;++color) {
123 #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)
124 for (i = 0; i < n; ++i) {
125 if (fc->colorOf[i]==color) {
126 u_i=u[i];
127 /* gather the smoothness sensor */
128 P_p=0.;
129 P_n=0.;
130 Q_p=0.;
131 Q_n=0.;
132 #pragma ivdep
133 for (iptr_ij=(fc->flux_matrix->mainBlock->pattern->ptr[i]);iptr_ij<(fc->flux_matrix->mainBlock->pattern->ptr[i+1]); ++iptr_ij) {
134 a_ij=fc->flux_matrix->mainBlock->val[iptr_ij];
135 j=fc->flux_matrix->mainBlock->pattern->index[iptr_ij];
136 d=u[j]-u_i;
137 if (a_ij<0.) {
138 if (d<0.) {
139 P_p+=a_ij*d;
140 } else {
141 P_n+=a_ij*d;
142 }
143 } else {
144 if (d>0.) {
145 Q_p+=a_ij*d;
146 } else {
147 Q_n+=a_ij*d;
148 }
149 }
150 }
151 #pragma ivdep
152 for (iptr_ij=(fc->flux_matrix->coupleBlock->pattern->ptr[i]);iptr_ij<(fc->flux_matrix->coupleBlock->pattern->ptr[i+1]); ++iptr_ij) {
153 a_ij=fc->flux_matrix->coupleBlock->val[iptr_ij];
154 j=fc->flux_matrix->coupleBlock->pattern->index[iptr_ij];
155 d=u_remote[j]-u_i;
156 if (a_ij<0.) {
157 if (d<0.) {
158 P_p+=a_ij*d;
159 } else {
160 P_n+=a_ij*d;
161 }
162 } else {
163 if (d>0.) {
164 Q_p+=a_ij*d;
165 } else {
166 Q_n+=a_ij*d;
167 }
168 }
169 }
170 /* set the smoothness indicators */
171 r_p = (P_p > 0.) ? FLUX_LIMITER(Q_p/P_p) : 0.;
172 r_n = (P_n < 0 ) ? FLUX_LIMITER(Q_n/P_n) : 0.;
173 /* anti diffusive flux from main block */
174 for (iptr_ij=fc->flux_matrix->mainBlock->pattern->ptr[i];iptr_ij<fc->flux_matrix->mainBlock->pattern->ptr[i+1]; ++iptr_ij) {
175 a_ij=fc->flux_matrix->mainBlock->val[iptr_ij];
176 j=fc->flux_matrix->mainBlock->pattern->index[iptr_ij];
177 if (a_ij < 0 && i!=j) {
178 /* find entry a[j,i] */
179 for (iptr_ji=fc->flux_matrix->mainBlock->pattern->ptr[i];iptr_ji<fc->flux_matrix->mainBlock->pattern->ptr[j+1]-1; ++iptr_ji) {
180 if (fc->flux_matrix->mainBlock->pattern->index[iptr_ji]==i) {
181 a_ji=fc->flux_matrix->mainBlock->val[iptr_ji];
182 if (a_ji > a_ij || (a_ji == a_ij && j<i) ) {
183 u_j=u[j];
184 r_ij = u_i>u_j ? r_p : r_n;
185 f_ij =MIN(r_ij*a_ij,a_ji-a_ij)*(u_i-u_j);
186 fa[i]+=f_ij;
187 fa[j]-=f_ij;
188 break;
189 }
190 }
191 }
192 }
193 }
194 /* anti diffusive flux from couple block */
195
196 /* TODO */
197 }
198 }
199 #pragma omp barrier
200 }
201 }
202 }

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