/[escript]/branches/domexper/dudley/src/Assemble_PDE_Single2_2D.c
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Contents of /branches/domexper/dudley/src/Assemble_PDE_Single2_2D.c

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Revision 3144 - (show annotations)
Fri Sep 3 00:49:02 2010 UTC (8 years, 9 months ago) by jfenwick
File MIME type: text/plain
File size: 15948 byte(s)
row_node, col_node (Assemble params), node_selection 
removed
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 2D 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 = 2 x 2 */
29 /* B = 2 */
30 /* C = 2 */
31 /* D = scalar */
32 /* X = 2 */
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 void Dudley_Assemble_PDE_Single2_2D(Assemble_Parameters p, Dudley_ElementFile* elements,
48 Paso_SystemMatrix* Mat, escriptDataC* F,
49 escriptDataC* A, escriptDataC* B, escriptDataC* C, escriptDataC* D, escriptDataC* X, escriptDataC* Y) {
50
51 #define DIM 2
52 index_t color;
53 dim_t e;
54 __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;
55 double *EM_S, *EM_F, *Vol, *DSDX;
56 index_t *row_index;
57 register dim_t q, s,r;
58 register double rtmp00, rtmp01, rtmp10, rtmp11, rtmp, rtmp0, rtmp1;
59 bool_t add_EM_F, add_EM_S;
60
61 bool_t extendedA=isExpanded(A);
62 bool_t extendedB=isExpanded(B);
63 bool_t extendedC=isExpanded(C);
64 bool_t extendedD=isExpanded(D);
65 bool_t extendedX=isExpanded(X);
66 bool_t extendedY=isExpanded(Y);
67 double *F_p=(requireWrite(F), getSampleDataRW(F,0)); /* use comma, to get around the mixed code and declarations thing */
68 double *S=p.row_jac->BasisFunctions->S;
69 dim_t len_EM_S=p.row_numShapesTotal*p.col_numShapesTotal;
70 dim_t len_EM_F=p.row_numShapesTotal;
71
72 #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,rtmp00, rtmp01, rtmp10, rtmp11, rtmp, rtmp0, rtmp1,add_EM_F, add_EM_S)
73 {
74 EM_S=THREAD_MEMALLOC(len_EM_S,double);
75 EM_F=THREAD_MEMALLOC(len_EM_F,double);
76 row_index=THREAD_MEMALLOC(p.row_numShapesTotal,index_t);
77
78 if (!Dudley_checkPtr(EM_S) && !Dudley_checkPtr(EM_F) && !Dudley_checkPtr(row_index) ) {
79
80 for (color=elements->minColor;color<=elements->maxColor;color++) {
81 /* open loop over all elements: */
82 #pragma omp for private(e) schedule(static)
83 for(e=0;e<elements->numElements;e++){
84 if (elements->Color[e]==color) {
85
86 A_p=getSampleDataRO(A,e);
87 B_p=getSampleDataRO(B,e);
88 C_p=getSampleDataRO(C,e);
89 D_p=getSampleDataRO(D,e);
90 X_p=getSampleDataRO(X,e);
91 Y_p=getSampleDataRO(Y,e);
92
93 Vol=&(p.row_jac->volume[INDEX3(0,0,e, p.numQuadTotal,1)]);
94 DSDX=&(p.row_jac->DSDX[INDEX5(0,0,0,0,e, p.row_numShapesTotal,DIM,p.numQuadTotal,1)]);
95 for (q=0;q<len_EM_S;++q) EM_S[q]=0;
96 for (q=0;q<len_EM_F;++q) EM_F[q]=0;
97 add_EM_F=FALSE;
98 add_EM_S=FALSE;
99 /**************************************************************/
100 /* process A: */
101 /**************************************************************/
102 if (NULL!=A_p) {
103 add_EM_S=TRUE;
104 if (extendedA) {
105 A_q=&(A_p[INDEX4(0,0,0,0, DIM,DIM,p.numQuadTotal)]);
106 for (s=0;s<p.row_numShapes;s++) {
107 for (r=0;r<p.col_numShapes;r++) {
108 rtmp=0;
109 for (q=0;q<p.numQuadTotal;q++) {
110 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)]
111 + 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)]
112 + 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)]
113 + 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)] );
114 }
115 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
116 }
117 }
118 } else {
119 for (s=0;s<p.row_numShapes;s++) {
120 for (r=0;r<p.col_numShapes;r++) {
121 rtmp00=0;
122 rtmp01=0;
123 rtmp10=0;
124 rtmp11=0;
125 for (q=0;q<p.numQuadTotal;q++) {
126 rtmp0=Vol[q]*DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)];
127 rtmp1=Vol[q]*DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)];
128 rtmp00+=rtmp0*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)];
129 rtmp01+=rtmp0*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)];
130 rtmp10+=rtmp1*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)];
131 rtmp11+=rtmp1*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)];
132 }
133 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+= rtmp00*A_p[INDEX2(0,0,DIM)]
134 + rtmp01*A_p[INDEX2(0,1,DIM)]
135 + rtmp10*A_p[INDEX2(1,0,DIM)]
136 + rtmp11*A_p[INDEX2(1,1,DIM)];
137 }
138 }
139 }
140 }
141 /**************************************************************/
142 /* process B: */
143 /**************************************************************/
144 if (NULL!=B_p) {
145 add_EM_S=TRUE;
146 if (extendedB) {
147 B_q=&(B_p[INDEX3(0,0,0, DIM,p.numQuadTotal)]);
148 for (s=0;s<p.row_numShapes;s++) {
149 for (r=0;r<p.col_numShapes;r++) {
150 rtmp=0.;
151 for (q=0;q<p.numQuadTotal;q++) {
152 rtmp+=Vol[q]*S[INDEX2(r,q,p.row_numShapes)]*(DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)]*B_q[INDEX2(0,q,DIM)]
153 + DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)]*B_q[INDEX2(1,q,DIM)]);
154 }
155 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
156 }
157 }
158 } else {
159 for (s=0;s<p.row_numShapes;s++) {
160 for (r=0;r<p.col_numShapes;r++) {
161 rtmp0=0;
162 rtmp1=0;
163 for (q=0;q<p.numQuadTotal;q++) {
164 rtmp=Vol[q]*S[INDEX2(r,q,p.row_numShapes)];
165 rtmp0+=rtmp*DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)];
166 rtmp1+=rtmp*DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)];
167 }
168 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp0*B_p[0]+rtmp1*B_p[1];
169 }
170 }
171 }
172 }
173 /**************************************************************/
174 /* process C: */
175 /**************************************************************/
176 if (NULL!=C_p) {
177 add_EM_S=TRUE;
178 if (extendedC) {
179 C_q=&(C_p[INDEX3(0,0,0, DIM, p.numQuadTotal)]);
180 for (s=0;s<p.row_numShapes;s++) {
181 for (r=0;r<p.col_numShapes;r++) {
182 rtmp=0;
183 for (q=0;q<p.numQuadTotal;q++) {
184 rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)]*(C_q[INDEX2(0,q,DIM)]*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)]
185 + C_q[INDEX2(1,q,DIM)]*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)]);
186 }
187 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
188 }
189 }
190 } else {
191 for (s=0;s<p.row_numShapes;s++) {
192 for (r=0;r<p.col_numShapes;r++) {
193 rtmp0=0;
194 rtmp1=0;
195 for (q=0;q<p.numQuadTotal;q++) {
196 rtmp=Vol[q]*S[INDEX2(s,q,p.row_numShapes)];
197 rtmp0+=rtmp*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)];
198 rtmp1+=rtmp*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)];
199 }
200 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp0*C_p[0]+rtmp1*C_p[1];
201 }
202 }
203 }
204 }
205 /************************************************************* */
206 /* process D */
207 /**************************************************************/
208 if (NULL!=D_p) {
209 add_EM_S=TRUE;
210 if (extendedD) {
211 D_q=&(D_p[INDEX2(0,0, p.numQuadTotal)]);
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.numQuadTotal;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)]*D_q[q]*S[INDEX2(r,q,p.row_numShapes)];
216 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
217 }
218 }
219 } else {
220 for (s=0;s<p.row_numShapes;s++) {
221 for (r=0;r<p.col_numShapes;r++) {
222 rtmp=0;
223 for (q=0;q<p.numQuadTotal;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)]*S[INDEX2(r,q,p.row_numShapes)];
224 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp*D_p[0];
225 }
226 }
227 }
228 }
229 /**************************************************************/
230 /* process X: */
231 /**************************************************************/
232 if (NULL!=X_p) {
233 add_EM_F=TRUE;
234 if (extendedX) {
235 X_q=&(X_p[INDEX3(0,0,0, DIM,p.numQuadTotal)]);
236 for (s=0;s<p.row_numShapes;s++) {
237 rtmp=0.;
238 for (q=0;q<p.numQuadTotal;q++) {
239 rtmp+=Vol[q]*( DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)]*X_q[INDEX2(0,q,DIM)]
240 + DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)]*X_q[INDEX2(1,q,DIM)]);
241 }
242 EM_F[INDEX2(0,s,p.numEqu)]+=rtmp;
243 }
244 } else {
245 for (s=0;s<p.row_numShapes;s++) {
246 rtmp0=0.;
247 rtmp1=0.;
248 for (q=0;q<p.numQuadTotal;q++) {
249 rtmp0+=Vol[q]*DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)];
250 rtmp1+=Vol[q]*DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)];
251 }
252 EM_F[INDEX2(0,s,p.numEqu)]+=rtmp0*X_p[0]+rtmp1*X_p[1];
253 }
254 }
255 }
256 /**************************************************************/
257 /* process Y: */
258 /**************************************************************/
259 if (NULL!=Y_p) {
260 add_EM_F=TRUE;
261 if (extendedY) {
262 Y_q=&(Y_p[INDEX2(0,0, p.numQuadTotal)]);
263 for (s=0;s<p.row_numShapes;s++) {
264 rtmp=0;
265 for (q=0;q<p.numQuadTotal;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)]*Y_q[q];
266 EM_F[INDEX2(0,s,p.numEqu)]+=rtmp;
267 }
268 } else {
269 for (s=0;s<p.row_numShapes;s++) {
270 rtmp=0;
271 for (q=0;q<p.numQuadTotal;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)];
272 EM_F[INDEX2(0,s,p.numEqu)]+=rtmp*Y_p[0];
273 }
274 }
275 }
276 /***********************************************************************************************/
277 /* add the element matrices onto the matrix and right hand side */
278 /***********************************************************************************************/
279
280 for (q=0;q<p.row_numShapesTotal;q++) row_index[q]=p.row_DOF[elements->Nodes[INDEX2(q,e,p.NN)]];
281 if (add_EM_F) Dudley_Util_AddScatter(p.row_numShapesTotal,row_index,p.numEqu,EM_F,F_p, p.row_DOF_UpperBound);
282 if (add_EM_S) Dudley_Assemble_addToSystemMatrix(Mat,p.row_numShapesTotal,row_index,p.numEqu,p.col_numShapesTotal,row_index,p.numComp,EM_S);
283 } /* end color check */
284 } /* end element loop */
285 } /* end color loop */
286
287 THREAD_MEMFREE(EM_S);
288 THREAD_MEMFREE(EM_F);
289 THREAD_MEMFREE(row_index);
290
291 } /* end of pointer check */
292 } /* end parallel region */
293 }

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