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Revision 3080 - (show annotations)
Tue Aug 3 04:28:03 2010 UTC (8 years, 10 months ago) by jfenwick
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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_{i,j} u_,j)_i-(B_{i} u)_i+C_{j} u_,j-D u_m and -(X_,i)_i + Y */
22
23 /* 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 = 3 x 3 */
29 /* B = 3 */
30 /* C = 3 */
31 /* D = scalar */
32 /* X = 3 */
33 /* Y = scalar */
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_Single2_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;
59 register double rtmp, rtmp00, rtmp01, rtmp02, rtmp10, rtmp11, rtmp12, rtmp20, rtmp21, rtmp22, rtmp0, rtmp1, rtmp2;
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;
71 dim_t len_EM_F=p.row_numShapesTotal;
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,rtmp, rtmp00, rtmp01, rtmp02, rtmp10, rtmp11, rtmp12, rtmp20, rtmp21, rtmp22, rtmp0, rtmp1, rtmp2,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[INDEX4(0,0,0,isub, DIM,DIM,p.numQuadSub)]);
110 for (s=0;s<p.row_numShapes;s++) {
111 for (r=0;r<p.col_numShapes;r++) {
112 rtmp=0;
113 for (q=0;q<p.numQuadSub;q++) {
114 rtmp+=Vol[q]*( DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)]*A_q[INDEX3(0,0,q,DIM,DIM)]*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)]
115 + DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)]*A_q[INDEX3(0,1,q,DIM,DIM)]*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)]
116 + DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)]*A_q[INDEX3(0,2,q,DIM,DIM)]*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)]
117 + DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)]*A_q[INDEX3(1,0,q,DIM,DIM)]*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)]
118 + DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)]*A_q[INDEX3(1,1,q,DIM,DIM)]*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)]
119 + DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)]*A_q[INDEX3(1,2,q,DIM,DIM)]*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)]
120 + DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)]*A_q[INDEX3(2,0,q,DIM,DIM)]*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)]
121 + DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)]*A_q[INDEX3(2,1,q,DIM,DIM)]*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)]
122 + DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)]*A_q[INDEX3(2,2,q,DIM,DIM)]*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)]);
123 }
124 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
125 }
126 }
127 } else {
128 for (s=0;s<p.row_numShapes;s++) {
129 for (r=0;r<p.col_numShapes;r++) {
130 rtmp00=0;
131 rtmp01=0;
132 rtmp02=0;
133 rtmp10=0;
134 rtmp11=0;
135 rtmp12=0;
136 rtmp20=0;
137 rtmp21=0;
138 rtmp22=0;
139 for (q=0;q<p.numQuadSub;q++) {
140
141 rtmp0=Vol[q]*DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)];
142 rtmp00+=rtmp0*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)];
143 rtmp01+=rtmp0*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)];
144 rtmp02+=rtmp0*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)];
145
146 rtmp1=Vol[q]*DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)];
147 rtmp10+=rtmp1*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)];
148 rtmp11+=rtmp1*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)];
149 rtmp12+=rtmp1*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)];
150
151 rtmp2=Vol[q]*DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)];
152 rtmp20+=rtmp2*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)];
153 rtmp21+=rtmp2*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)];
154 rtmp22+=rtmp2*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)];
155 }
156 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp00*A_p[INDEX2(0,0,DIM)]
157 +rtmp01*A_p[INDEX2(0,1,DIM)]
158 +rtmp02*A_p[INDEX2(0,2,DIM)]
159 +rtmp10*A_p[INDEX2(1,0,DIM)]
160 +rtmp11*A_p[INDEX2(1,1,DIM)]
161 +rtmp12*A_p[INDEX2(1,2,DIM)]
162 +rtmp20*A_p[INDEX2(2,0,DIM)]
163 +rtmp21*A_p[INDEX2(2,1,DIM)]
164 +rtmp22*A_p[INDEX2(2,2,DIM)];
165 }
166 }
167 }
168 }
169 /**************************************************************/
170 /* process B: */
171 /**************************************************************/
172 if (NULL!=B_p) {
173 add_EM_S=TRUE;
174 if (extendedB) {
175 B_q=&(B_p[INDEX3(0,0,isub, DIM,p.numQuadSub)]);
176 for (s=0;s<p.row_numShapes;s++) {
177 for (r=0;r<p.col_numShapes;r++) {
178 rtmp=0;
179 for (q=0;q<p.numQuadSub;q++) {
180 rtmp+=Vol[q]*S[INDEX2(r,q,p.row_numShapes)]*
181 ( DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)]*B_q[INDEX2(0,q,DIM)]
182 + DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)]*B_q[INDEX2(1,q,DIM)]
183 + DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)]*B_q[INDEX2(2,q,DIM)]);
184 }
185 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
186 }
187 }
188 } else {
189 for (s=0;s<p.row_numShapes;s++) {
190 for (r=0;r<p.col_numShapes;r++) {
191 rtmp0=0;
192 rtmp1=0;
193 rtmp2=0;
194 for (q=0;q<p.numQuadSub;q++) {
195 rtmp=Vol[q]*S[INDEX2(r,q,p.row_numShapes)];
196 rtmp0+=rtmp*DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)];
197 rtmp1+=rtmp*DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)];
198 rtmp2+=rtmp*DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)];
199 }
200 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp0*B_p[0]+rtmp1*B_p[1]+rtmp2*B_p[2];
201 }
202 }
203 }
204 }
205 /**************************************************************/
206 /* process C: */
207 /**************************************************************/
208 if (NULL!=C_p) {
209 add_EM_S=TRUE;
210 if (extendedC) {
211 C_q=&(C_p[INDEX3(0,0,isub, DIM, p.numQuadSub)]);
212 for (s=0;s<p.row_numShapes;s++) {
213 for (r=0;r<p.col_numShapes;r++) {
214 rtmp=0;
215 for (q=0;q<p.numQuadSub;q++) {
216 rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)]*
217 ( C_q[INDEX2(0,q,DIM)]*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)]
218 + C_q[INDEX2(1,q,DIM)]*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)]
219 + C_q[INDEX2(2,q,DIM)]*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)]);
220 }
221 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
222 }
223 }
224 } else {
225 for (s=0;s<p.row_numShapes;s++) {
226 for (r=0;r<p.col_numShapes;r++) {
227 rtmp0=0;
228 rtmp1=0;
229 rtmp2=0;
230 for (q=0;q<p.numQuadSub;q++) {
231 rtmp=Vol[q]*S[INDEX2(s,q,p.row_numShapes)];
232 rtmp0+=rtmp*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)];
233 rtmp1+=rtmp*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)];
234 rtmp2+=rtmp*DSDX[INDEX3(r,2,q,p.row_numShapesTotal,DIM)];
235 }
236 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp0*C_p[0]+rtmp1*C_p[1]+rtmp2*C_p[2];
237 }
238 }
239 }
240 }
241 /************************************************************* */
242 /* process D */
243 /**************************************************************/
244 if (NULL!=D_p) {
245 add_EM_S=TRUE;
246 if (extendedD) {
247 D_q=&(D_p[INDEX2(0,isub, p.numQuadSub)]);
248 for (s=0;s<p.row_numShapes;s++) {
249 for (r=0;r<p.col_numShapes;r++) {
250 rtmp=0;
251 for (q=0;q<p.numQuadSub;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)]*D_q[q]*S[INDEX2(r,q,p.row_numShapes)];
252 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
253 }
254 }
255 } else {
256 for (s=0;s<p.row_numShapes;s++) {
257 for (r=0;r<p.col_numShapes;r++) {
258 rtmp=0;
259 for (q=0;q<p.numQuadSub;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)]*S[INDEX2(r,q,p.row_numShapes)];
260 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp*D_p[0];
261 }
262 }
263 }
264 }
265 /**************************************************************/
266 /* process X: */
267 /**************************************************************/
268 if (NULL!=X_p) {
269 add_EM_F=TRUE;
270 if (extendedX) {
271 X_q=&(X_p[INDEX3(0,0,isub, DIM,p.numQuadSub)]);
272 for (s=0;s<p.row_numShapes;s++) {
273 rtmp=0;
274 for (q=0;q<p.numQuadSub;q++) {
275 rtmp+=Vol[q]*( DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)]*X_q[INDEX2(0,q,DIM)]
276 + DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)]*X_q[INDEX2(1,q,DIM)]
277 + DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)]*X_q[INDEX2(2,q,DIM)]);
278 }
279 EM_F[INDEX2(0,s,p.numEqu)]+=rtmp;
280 }
281 } else {
282 for (s=0;s<p.row_numShapes;s++) {
283 rtmp0=0;
284 rtmp1=0;
285 rtmp2=0;
286 for (q=0;q<p.numQuadSub;q++) {
287 rtmp0+=Vol[q]*DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)];
288 rtmp1+=Vol[q]*DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)];
289 rtmp2+=Vol[q]*DSDX[INDEX3(s,2,q,p.row_numShapesTotal,DIM)];
290 }
291 EM_F[INDEX2(0,s,p.numEqu)]+=rtmp0*X_p[0]+rtmp1*X_p[1]+rtmp2*X_p[2];
292 }
293 }
294 }
295 /**************************************************************/
296 /* process Y: */
297 /**************************************************************/
298 if (NULL!=Y_p) {
299 add_EM_F=TRUE;
300 if (extendedY) {
301 Y_q=&(Y_p[INDEX2(0,isub, p.numQuadSub)]);
302 for (s=0;s<p.row_numShapes;s++) {
303 rtmp=0;
304 for (q=0;q<p.numQuadSub;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)]*Y_q[q];
305 EM_F[INDEX2(0,s,p.numEqu)]+=rtmp;
306 }
307 } else {
308 for (s=0;s<p.row_numShapes;s++) {
309 rtmp=0;
310 for (q=0;q<p.numQuadSub;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)];
311 EM_F[INDEX2(0,s,p.numEqu)]+=rtmp*Y_p[0];
312 }
313 }
314 }
315 /***********************************************************************************************/
316 /* add the element matrices onto the matrix and right hand side */
317 /***********************************************************************************************/
318
319 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)]];
320
321 if (add_EM_F) Finley_Util_AddScatter(p.row_numShapesTotal,row_index,p.numEqu,EM_F,F_p, p.row_DOF_UpperBound);
322 if (add_EM_S) Finley_Assemble_addToSystemMatrix(Mat,p.row_numShapesTotal,row_index,p.numEqu,p.col_numShapesTotal,row_index,p.numComp,EM_S);
323
324 } /* end of isub */
325 } /* end color check */
326 } /* end element loop */
327 } /* end color loop */
328
329 THREAD_MEMFREE(EM_S);
330 THREAD_MEMFREE(EM_F);
331 THREAD_MEMFREE(row_index);
332
333 } /* end of pointer check */
334 } /* end parallel region */
335 }

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