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Revision 2881 - (show annotations)
Thu Jan 28 02:03:15 2010 UTC (9 years, 4 months ago) by jfenwick
Original Path: trunk/finley/src/Assemble_PDE_System2_3D.c
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File size: 23477 byte(s)
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1
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 /* assembles the system of numEq PDEs into the stiffness matrix S right hand side F */
18 /* the shape functions for test and solution must be identical */
19
20
21 /* -(A_{k,i,m,j} u_m,j)_i-(B_{k,i,m} u_m)_i+C_{k,m,j} u_m,j-D_{k,m} u_m and -(X_{k,i})_i + Y_k */
22
23 /* u has p.numComp components in a 3D domain. The shape functions for test and solution must be identical */
24 /* and row_NS == row_NN */
25
26 /* Shape of the coefficients: */
27
28 /* A = p.numEqu x 3 x p.numComp x 3 */
29 /* B = 3 x p.numEqu x p.numComp */
30 /* C = p.numEqu x 3 x p.numComp */
31 /* D = p.numEqu x p.numComp */
32 /* X = p.numEqu x 3 */
33 /* Y = p.numEqu */
34
35
36 /**************************************************************/
37
38
39 #include "Assemble.h"
40 #include "Util.h"
41 #ifdef _OPENMP
42 #include <omp.h>
43 #endif
44
45
46 /**************************************************************/
47
48 void Finley_Assemble_PDE_System2_3D(Assemble_Parameters p, Finley_ElementFile* elements,
49 Paso_SystemMatrix* Mat, escriptDataC* F,
50 escriptDataC* A, escriptDataC* B, escriptDataC* C, escriptDataC* D, escriptDataC* X, escriptDataC* Y) {
51
52 #define DIM 3
53 index_t color;
54 dim_t e, isub;
55 __const double *A_p, *B_p, *C_p, *D_p, *X_p, *Y_p, *A_q, *B_q, *C_q, *D_q, *X_q, *Y_q;
56 double *EM_S, *EM_F, *Vol, *DSDX;
57 index_t *row_index;
58 register dim_t q, s,r,k,m;
59 register double rtmp, rtmp0, rtmp1, rtmp2, rtmp00, rtmp01, rtmp02, rtmp10, rtmp11, rtmp12, rtmp20, rtmp21, rtmp22;
60 bool_t add_EM_F, add_EM_S;
61
62 bool_t extendedA=isExpanded(A);
63 bool_t extendedB=isExpanded(B);
64 bool_t extendedC=isExpanded(C);
65 bool_t extendedD=isExpanded(D);
66 bool_t extendedX=isExpanded(X);
67 bool_t extendedY=isExpanded(Y);
68 double *F_p=(requireWrite(F), getSampleDataRW(F,0)); /* use comma, to get around the mixed code and declarations thing */
69 double *S=p.row_jac->BasisFunctions->S;
70 dim_t len_EM_S=p.row_numShapesTotal*p.col_numShapesTotal*p.numEqu*p.numComp;
71 dim_t len_EM_F=p.row_numShapesTotal*p.numEqu;
72
73 #pragma omp parallel private(color,EM_S, EM_F, Vol, DSDX, A_p, B_p, C_p, D_p, X_p, Y_p, A_q, B_q, C_q, D_q, X_q, Y_q,row_index,q, s,r,k,m,rtmp, rtmp0, rtmp1, rtmp2, rtmp00, rtmp01, rtmp02, rtmp10, rtmp11, rtmp12, rtmp20, rtmp21, rtmp22,add_EM_F, add_EM_S, isub)
74 {
75 EM_S=THREAD_MEMALLOC(len_EM_S,double);
76 EM_F=THREAD_MEMALLOC(len_EM_F,double);
77 row_index=THREAD_MEMALLOC(p.row_numShapesTotal,index_t);
78
79 if (!Finley_checkPtr(EM_S) && !Finley_checkPtr(EM_F) && !Finley_checkPtr(row_index) ) {
80
81 for (color=elements->minColor;color<=elements->maxColor;color++) {
82 /* open loop over all elements: */
83 #pragma omp for private(e) schedule(static)
84 for(e=0;e<elements->numElements;e++){
85 if (elements->Color[e]==color) {
86
87 A_p=getSampleDataRO(A,e);
88 B_p=getSampleDataRO(B,e);
89 C_p=getSampleDataRO(C,e);
90 D_p=getSampleDataRO(D,e);
91 X_p=getSampleDataRO(X,e);
92 Y_p=getSampleDataRO(Y,e);
93
94 for (isub=0;isub<p.numSub;isub++){
95
96 Vol=&(p.row_jac->volume[INDEX3(0,isub,e, p.numQuadSub,p.numSub)]);
97 DSDX=&(p.row_jac->DSDX[INDEX5(0,0,0,isub,e,p.row_numShapesTotal,DIM,p.numQuadSub,p.numSub)]);
98 for (q=0;q<len_EM_S;++q) EM_S[q]=0;
99 for (q=0;q<len_EM_F;++q) EM_F[q]=0;
100 add_EM_F=FALSE;
101 add_EM_S=FALSE;
102
103 /**************************************************************/
104 /* process A: */
105 /**************************************************************/
106 if (NULL!=A_p) {
107 add_EM_S=TRUE;
108 if (extendedA) {
109 A_q=&(A_p[INDEX6(0,0,0,0,0,isub, p.numEqu,DIM,p.numComp,DIM,p.numQuadSub)]);
110 for (s=0;s<p.row_numShapes;s++) {
111 for (r=0;r<p.col_numShapes;r++) {
112 for (k=0;k<p.numEqu;k++) {
113 for (m=0;m<p.numComp;m++) {
114 rtmp=0;
115 for (q=0;q<p.numQuadSub;q++) {
116 rtmp+=Vol[q]*(
117 DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)]*A_q[INDEX5(k,0,m,0,q, p.numEqu,DIM,p.numComp,DIM)]*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)]
118 +DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)]*A_q[INDEX5(k,0,m,1,q, p.numEqu,DIM,p.numComp,DIM)]*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)]
119 +DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)]*A_q[INDEX5(k,0,m,2,q, p.numEqu,DIM,p.numComp,DIM)]*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)]
120 +DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)]*A_q[INDEX5(k,1,m,0,q, p.numEqu,DIM,p.numComp,DIM)]*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)]
121 +DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)]*A_q[INDEX5(k,1,m,1,q, p.numEqu,DIM,p.numComp,DIM)]*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)]
122 +DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)]*A_q[INDEX5(k,1,m,2,q, p.numEqu,DIM,p.numComp,DIM)]*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)]
123 +DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)]*A_q[INDEX5(k,2,m,0,q, p.numEqu,DIM,p.numComp,DIM)]*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)]
124 +DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)]*A_q[INDEX5(k,2,m,1,q, p.numEqu,DIM,p.numComp,DIM)]*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)]
125 +DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)]*A_q[INDEX5(k,2,m,2,q, p.numEqu,DIM,p.numComp,DIM)]*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)]);
126
127 }
128 EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
129 }
130 }
131 }
132 }
133 } else {
134 for (s=0;s<p.row_numShapes;s++) {
135 for (r=0;r<p.col_numShapes;r++) {
136 rtmp00=0;
137 rtmp01=0;
138 rtmp02=0;
139 rtmp10=0;
140 rtmp11=0;
141 rtmp12=0;
142 rtmp20=0;
143 rtmp21=0;
144 rtmp22=0;
145 for (q=0;q<p.numQuadSub;q++) {
146 rtmp0=Vol[q]*DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)];
147 rtmp00+=rtmp0*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)];
148 rtmp01+=rtmp0*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)];
149 rtmp02+=rtmp0*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)];
150
151 rtmp1=Vol[q]*DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)];
152 rtmp10+=rtmp1*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)];
153 rtmp11+=rtmp1*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)];
154 rtmp12+=rtmp1*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)];
155
156 rtmp2=Vol[q]*DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)];
157 rtmp20+=rtmp2*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)];
158 rtmp21+=rtmp2*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)];
159 rtmp22+=rtmp2*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)];
160 }
161 for (k=0;k<p.numEqu;k++) {
162 for (m=0;m<p.numComp;m++) {
163 EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+= rtmp00*A_p[INDEX4(k,0,m,0, p.numEqu,DIM,p.numComp)]
164 +rtmp01*A_p[INDEX4(k,0,m,1, p.numEqu,DIM,p.numComp)]
165 +rtmp02*A_p[INDEX4(k,0,m,2, p.numEqu,DIM,p.numComp)]
166 +rtmp10*A_p[INDEX4(k,1,m,0, p.numEqu,DIM,p.numComp)]
167 +rtmp11*A_p[INDEX4(k,1,m,1, p.numEqu,DIM,p.numComp)]
168 +rtmp12*A_p[INDEX4(k,1,m,2, p.numEqu,DIM,p.numComp)]
169 +rtmp20*A_p[INDEX4(k,2,m,0, p.numEqu,DIM,p.numComp)]
170 +rtmp21*A_p[INDEX4(k,2,m,1, p.numEqu,DIM,p.numComp)]
171 +rtmp22*A_p[INDEX4(k,2,m,2, p.numEqu,DIM,p.numComp)];
172 }
173 }
174 }
175 }
176 }
177 }
178 /**************************************************************/
179 /* process B: */
180 /**************************************************************/
181 if (NULL!=B_p) {
182 add_EM_S=TRUE;
183 if (extendedB) {
184 B_q=&(B_p[INDEX5(0,0,0,0,isub, p.numEqu,DIM,p.numComp,p.numQuadSub)]);
185 for (s=0;s<p.row_numShapes;s++) {
186 for (r=0;r<p.col_numShapes;r++) {
187 for (k=0;k<p.numEqu;k++) {
188 for (m=0;m<p.numComp;m++) {
189 rtmp=0;
190 for (q=0;q<p.numQuadSub;q++) {
191 rtmp+=Vol[q]*S[INDEX2(r,q,p.row_numShapes)]*(
192 DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)]*B_q[INDEX4(k,0,m,q,p.numEqu,DIM,p.numComp)]
193 + DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)]*B_q[INDEX4(k,1,m,q,p.numEqu,DIM,p.numComp)]
194 + DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)]*B_q[INDEX4(k,2,m,q,p.numEqu,DIM,p.numComp)] );
195 }
196 EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
197 }
198 }
199 }
200 }
201 } else {
202 for (s=0;s<p.row_numShapes;s++) {
203 for (r=0;r<p.col_numShapes;r++) {
204 rtmp0=0;
205 rtmp1=0;
206 rtmp2=0;
207 for (q=0;q<p.numQuadSub;q++) {
208 rtmp=Vol[q]*S[INDEX2(r,q,p.row_numShapes)];
209 rtmp0+=rtmp*DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)];
210 rtmp1+=rtmp*DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)];
211 rtmp2+=rtmp*DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)];
212 }
213 for (k=0;k<p.numEqu;k++) {
214 for (m=0;m<p.numComp;m++) {
215 EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp0*B_p[INDEX3(k,0,m,p.numEqu,DIM)]
216 +rtmp1*B_p[INDEX3(k,1,m,p.numEqu,DIM)]
217 +rtmp2*B_p[INDEX3(k,2,m,p.numEqu,DIM)];
218 }
219 }
220 }
221 }
222 }
223 }
224 /**************************************************************/
225 /* process C: */
226 /**************************************************************/
227 if (NULL!=C_p) {
228 add_EM_S=TRUE;
229 if (extendedC) {
230 C_q=&(C_p[INDEX5(0,0,0,0,isub ,p.numEqu,p.numComp,DIM, p.numQuadSub)]);
231 for (s=0;s<p.row_numShapes;s++) {
232 for (r=0;r<p.col_numShapes;r++) {
233 for (k=0;k<p.numEqu;k++) {
234 for (m=0;m<p.numComp;m++) {
235 rtmp=0;
236 for (q=0;q<p.numQuadSub;q++) {
237 rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)]*(
238 C_q[INDEX4(k,m,0,q,p.numEqu,p.numComp,DIM)]*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)]
239 +C_q[INDEX4(k,m,1,q,p.numEqu,p.numComp,DIM)]*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)]
240 +C_q[INDEX4(k,m,2,q,p.numEqu,p.numComp,DIM)]*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)]);
241 }
242 EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
243 }
244 }
245 }
246 }
247 } else {
248 for (s=0;s<p.row_numShapes;s++) {
249 for (r=0;r<p.col_numShapes;r++) {
250 rtmp0=0;
251 rtmp1=0;
252 rtmp2=0;
253 for (q=0;q<p.numQuadSub;q++) {
254 rtmp=Vol[q]*S[INDEX2(s,q,p.row_numShapes)];
255 rtmp0+=rtmp*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)];
256 rtmp1+=rtmp*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)];
257 rtmp2+=rtmp*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)];
258 }
259 for (k=0;k<p.numEqu;k++) {
260 for (m=0;m<p.numComp;m++) {
261 EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp0*C_p[INDEX3(k,m,0,p.numEqu,p.numComp)]
262 +rtmp1*C_p[INDEX3(k,m,1,p.numEqu,p.numComp)]
263 +rtmp2*C_p[INDEX3(k,m,2,p.numEqu,p.numComp)];
264 }
265 }
266 }
267 }
268 }
269 }
270 /************************************************************* */
271 /* process D */
272 /**************************************************************/
273 if (NULL!=D_p) {
274 add_EM_S=TRUE;
275 if (extendedD) {
276 D_q=&(D_p[INDEX4(0,0,0,isub ,p.numEqu,p.numComp, p.numQuadSub)]);
277 for (s=0;s<p.row_numShapes;s++) {
278 for (r=0;r<p.col_numShapes;r++) {
279 for (k=0;k<p.numEqu;k++) {
280 for (m=0;m<p.numComp;m++) {
281 rtmp=0;
282 for (q=0;q<p.numQuadSub;q++) {
283 rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)]*D_q[INDEX3(k,m,q,p.numEqu,p.numComp)]*S[INDEX2(r,q,p.row_numShapes)];
284 }
285 EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
286 }
287 }
288 }
289 }
290 } else {
291 for (s=0;s<p.row_numShapes;s++) {
292 for (r=0;r<p.col_numShapes;r++) {
293 rtmp=0;
294 for (q=0;q<p.numQuadSub;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)]*S[INDEX2(r,q,p.row_numShapes)];
295 for (k=0;k<p.numEqu;k++) {
296 for (m=0;m<p.numComp;m++) {
297 EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp*D_p[INDEX2(k,m,p.numEqu)];
298 }
299 }
300 }
301 }
302 }
303 }
304 /**************************************************************/
305 /* process X: */
306 /**************************************************************/
307 if (NULL!=X_p) {
308 add_EM_F=TRUE;
309 if (extendedX) {
310 X_q=&(X_p[INDEX4(0,0,0,isub, p.numEqu,DIM,p.numQuadSub)]);
311 for (s=0;s<p.row_numShapes;s++) {
312 for (k=0;k<p.numEqu;k++) {
313 rtmp=0;
314 for (q=0;q<p.numQuadSub;q++) {
315 rtmp+=Vol[q]* ( DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)]*X_q[INDEX3(k,0,q,p.numEqu,DIM)]
316 + DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)]*X_q[INDEX3(k,1,q,p.numEqu,DIM)]
317 + DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)]*X_q[INDEX3(k,2,q,p.numEqu,DIM)]);
318 }
319 EM_F[INDEX2(k,s,p.numEqu)]+=rtmp;
320 }
321 }
322 } else {
323 for (s=0;s<p.row_numShapes;s++) {
324 rtmp0=0;
325 rtmp1=0;
326 rtmp2=0;
327 for (q=0;q<p.numQuadSub;q++) {
328 rtmp0+=Vol[q]*DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)];
329 rtmp1+=Vol[q]*DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)];
330 rtmp2+=Vol[q]*DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)];
331 }
332 for (k=0;k<p.numEqu;k++) {
333 EM_F[INDEX2(k,s,p.numEqu)]+=rtmp0*X_p[INDEX2(k,0,p.numEqu)]
334 +rtmp1*X_p[INDEX2(k,1,p.numEqu)]
335 +rtmp2*X_p[INDEX2(k,2,p.numEqu)];
336 }
337 }
338 }
339 }
340 /**************************************************************/
341 /* process Y: */
342 /**************************************************************/
343 if (NULL!=Y_p) {
344 add_EM_F=TRUE;
345 if (extendedY) {
346 Y_q=&(Y_p[INDEX3(0,0,isub, p.numEqu,p.numQuadSub)]);
347 for (s=0;s<p.row_numShapes;s++) {
348 for (k=0;k<p.numEqu;k++) {
349 rtmp=0.;
350 for (q=0;q<p.numQuadSub;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)]*Y_q[INDEX2(k,q,p.numEqu)];
351 EM_F[INDEX2(k,s,p.numEqu)]+=rtmp;
352 }
353 }
354 } else {
355 for (s=0;s<p.row_numShapes;s++) {
356 rtmp=0;
357 for (q=0;q<p.numQuadSub;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)];
358 for (k=0;k<p.numEqu;k++) EM_F[INDEX2(k,s,p.numEqu)]+=rtmp*Y_p[k];
359 }
360 }
361 }
362
363 /***********************************************************************************************/
364 /* add the element matrices onto the matrix and right hand side */
365 /***********************************************************************************************/
366 for (q=0;q<p.row_numShapesTotal;q++) row_index[q]=p.row_DOF[elements->Nodes[INDEX2(p.row_node[INDEX2(q,isub,p.row_numShapesTotal)],e,p.NN)]];
367
368 if (add_EM_F) Finley_Util_AddScatter(p.row_numShapesTotal,row_index,p.numEqu,EM_F,F_p, p.row_DOF_UpperBound);
369 if (add_EM_S) Finley_Assemble_addToSystemMatrix(Mat,p.row_numShapesTotal,row_index,p.numEqu,p.col_numShapesTotal,row_index,p.numComp,EM_S);
370 } /* end of subn */
371 } /* end color check */
372 } /* end element loop */
373 } /* end color loop */
374
375 THREAD_MEMFREE(EM_S);
376 THREAD_MEMFREE(EM_F);
377 THREAD_MEMFREE(row_index);
378
379 } /* end of pointer check */
380 } /* end parallel region */
381 }

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