/[escript]/branches/domexper/dudley/src/Assemble_PDE_Single2_2D.c
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Tue Aug 3 04:28:03 2010 UTC (9 years, 5 months ago) by jfenwick
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1 gross 798
2 ksteube 1312 /*******************************************************
3 ksteube 1811 *
4 jfenwick 2881 * Copyright (c) 2003-2010 by University of Queensland
5 ksteube 1811 * 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 ksteube 1312
14 ksteube 1811
15 gross 798 /**************************************************************/
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 gross 853 #ifdef _OPENMP
42     #include <omp.h>
43     #endif
44 gross 798
45     /**************************************************************/
46    
47     void Finley_Assemble_PDE_Single2_2D(Assemble_Parameters p, Finley_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 gross 2748 dim_t e,isub;
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 jfenwick 2271 double *EM_S, *EM_F, *Vol, *DSDX;
56 gross 853 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 gross 798 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 jfenwick 2271 double *F_p=(requireWrite(F), getSampleDataRW(F,0)); /* use comma, to get around the mixed code and declarations thing */
68 gross 2748 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 gross 798
72 gross 2748 #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, isub)
73 gross 798 {
74 gross 853 EM_S=THREAD_MEMALLOC(len_EM_S,double);
75     EM_F=THREAD_MEMALLOC(len_EM_F,double);
76 gross 2748 row_index=THREAD_MEMALLOC(p.row_numShapesTotal,index_t);
77 gross 853
78     if (!Finley_checkPtr(EM_S) && !Finley_checkPtr(EM_F) && !Finley_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 gross 2748
86 jfenwick 2770 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 gross 2748
93     for (isub=0; isub<p.numSub; isub++) {
94    
95     Vol=&(p.row_jac->volume[INDEX3(0,isub,e, p.numQuadSub,p.numSub)]);
96     DSDX=&(p.row_jac->DSDX[INDEX5(0,0,0,isub,e, p.row_numShapesTotal,DIM,p.numQuadSub,p.numSub)]);
97     for (q=0;q<len_EM_S;++q) EM_S[q]=0;
98     for (q=0;q<len_EM_F;++q) EM_F[q]=0;
99     add_EM_F=FALSE;
100     add_EM_S=FALSE;
101     /**************************************************************/
102     /* process A: */
103     /**************************************************************/
104     if (NULL!=A_p) {
105     add_EM_S=TRUE;
106     if (extendedA) {
107     A_q=&(A_p[INDEX4(0,0,0,isub, DIM,DIM,p.numQuadSub)]);
108     for (s=0;s<p.row_numShapes;s++) {
109     for (r=0;r<p.col_numShapes;r++) {
110     rtmp=0;
111     for (q=0;q<p.numQuadSub;q++) {
112     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)]
113     + 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)]
114     + 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)]
115     + 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)] );
116     }
117     EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
118 gross 853 }
119     }
120 gross 2748 } else {
121     for (s=0;s<p.row_numShapes;s++) {
122     for (r=0;r<p.col_numShapes;r++) {
123     rtmp00=0;
124     rtmp01=0;
125     rtmp10=0;
126     rtmp11=0;
127     for (q=0;q<p.numQuadSub;q++) {
128     rtmp0=Vol[q]*DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)];
129     rtmp1=Vol[q]*DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)];
130     rtmp00+=rtmp0*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)];
131     rtmp01+=rtmp0*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)];
132     rtmp10+=rtmp1*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)];
133     rtmp11+=rtmp1*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)];
134     }
135     EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+= rtmp00*A_p[INDEX2(0,0,DIM)]
136     + rtmp01*A_p[INDEX2(0,1,DIM)]
137     + rtmp10*A_p[INDEX2(1,0,DIM)]
138     + rtmp11*A_p[INDEX2(1,1,DIM)];
139     }
140     }
141 gross 853 }
142 gross 2748 }
143     /**************************************************************/
144     /* process B: */
145     /**************************************************************/
146     if (NULL!=B_p) {
147     add_EM_S=TRUE;
148     if (extendedB) {
149     B_q=&(B_p[INDEX3(0,0,isub, DIM,p.numQuadSub)]);
150     for (s=0;s<p.row_numShapes;s++) {
151     for (r=0;r<p.col_numShapes;r++) {
152     rtmp=0.;
153     for (q=0;q<p.numQuadSub;q++) {
154     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)]
155     + DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)]*B_q[INDEX2(1,q,DIM)]);
156 gross 853 }
157 gross 2748 EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
158     }
159 gross 853 }
160 gross 2748 } else {
161     for (s=0;s<p.row_numShapes;s++) {
162     for (r=0;r<p.col_numShapes;r++) {
163     rtmp0=0;
164     rtmp1=0;
165     for (q=0;q<p.numQuadSub;q++) {
166     rtmp=Vol[q]*S[INDEX2(r,q,p.row_numShapes)];
167     rtmp0+=rtmp*DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)];
168     rtmp1+=rtmp*DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)];
169     }
170     EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp0*B_p[0]+rtmp1*B_p[1];
171 gross 853 }
172     }
173 gross 2748 }
174     }
175     /**************************************************************/
176     /* process C: */
177     /**************************************************************/
178     if (NULL!=C_p) {
179     add_EM_S=TRUE;
180     if (extendedC) {
181     C_q=&(C_p[INDEX3(0,0,isub, DIM, p.numQuadSub)]);
182     for (s=0;s<p.row_numShapes;s++) {
183     for (r=0;r<p.col_numShapes;r++) {
184     rtmp=0;
185     for (q=0;q<p.numQuadSub;q++) {
186     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)]
187     + C_q[INDEX2(1,q,DIM)]*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)]);
188     }
189     EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
190 gross 853 }
191     }
192 gross 2748 } else {
193     for (s=0;s<p.row_numShapes;s++) {
194     for (r=0;r<p.col_numShapes;r++) {
195     rtmp0=0;
196     rtmp1=0;
197     for (q=0;q<p.numQuadSub;q++) {
198     rtmp=Vol[q]*S[INDEX2(s,q,p.row_numShapes)];
199     rtmp0+=rtmp*DSDX[INDEX3(r,0,q,p.row_numShapesTotal,DIM)];
200     rtmp1+=rtmp*DSDX[INDEX3(r,1,q,p.row_numShapesTotal,DIM)];
201     }
202     EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp0*C_p[0]+rtmp1*C_p[1];
203     }
204 gross 853 }
205 gross 2748 }
206 gross 853 }
207 gross 2748 /************************************************************* */
208     /* process D */
209     /**************************************************************/
210     if (NULL!=D_p) {
211     add_EM_S=TRUE;
212     if (extendedD) {
213     D_q=&(D_p[INDEX2(0,isub, p.numQuadSub)]);
214     for (s=0;s<p.row_numShapes;s++) {
215     for (r=0;r<p.col_numShapes;r++) {
216 gross 853 rtmp=0;
217 gross 2748 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)];
218     EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp;
219     }
220 gross 853 }
221 gross 2748 } else {
222     for (s=0;s<p.row_numShapes;s++) {
223     for (r=0;r<p.col_numShapes;r++) {
224     rtmp=0;
225     for (q=0;q<p.numQuadSub;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)]*S[INDEX2(r,q,p.row_numShapes)];
226     EM_S[INDEX4(0,0,s,r,p.numEqu,p.numComp,p.row_numShapesTotal)]+=rtmp*D_p[0];
227     }
228     }
229     }
230 gross 853 }
231 gross 2748 /**************************************************************/
232     /* process X: */
233     /**************************************************************/
234     if (NULL!=X_p) {
235     add_EM_F=TRUE;
236     if (extendedX) {
237     X_q=&(X_p[INDEX3(0,0,isub, DIM,p.numQuadSub)]);
238     for (s=0;s<p.row_numShapes;s++) {
239     rtmp=0.;
240     for (q=0;q<p.numQuadSub;q++) {
241     rtmp+=Vol[q]*( DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)]*X_q[INDEX2(0,q,DIM)]
242     + DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)]*X_q[INDEX2(1,q,DIM)]);
243     }
244     EM_F[INDEX2(0,s,p.numEqu)]+=rtmp;
245     }
246     } else {
247     for (s=0;s<p.row_numShapes;s++) {
248     rtmp0=0.;
249     rtmp1=0.;
250     for (q=0;q<p.numQuadSub;q++) {
251     rtmp0+=Vol[q]*DSDX[INDEX3(s,0,q,p.row_numShapesTotal,DIM)];
252     rtmp1+=Vol[q]*DSDX[INDEX3(s,1,q,p.row_numShapesTotal,DIM)];
253 gross 853 }
254 gross 2748 EM_F[INDEX2(0,s,p.numEqu)]+=rtmp0*X_p[0]+rtmp1*X_p[1];
255     }
256     }
257     }
258     /**************************************************************/
259     /* process Y: */
260     /**************************************************************/
261     if (NULL!=Y_p) {
262     add_EM_F=TRUE;
263     if (extendedY) {
264     Y_q=&(Y_p[INDEX2(0,isub, p.numQuadSub)]);
265     for (s=0;s<p.row_numShapes;s++) {
266     rtmp=0;
267     for (q=0;q<p.numQuadSub;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)]*Y_q[q];
268 gross 853 EM_F[INDEX2(0,s,p.numEqu)]+=rtmp;
269 gross 2748 }
270     } else {
271     for (s=0;s<p.row_numShapes;s++) {
272     rtmp=0;
273     for (q=0;q<p.numQuadSub;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_numShapes)];
274     EM_F[INDEX2(0,s,p.numEqu)]+=rtmp*Y_p[0];
275     }
276 gross 798 }
277     }
278 gross 2748 /***********************************************************************************************/
279     /* add the element matrices onto the matrix and right hand side */
280     /***********************************************************************************************/
281    
282     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)]];
283     if (add_EM_F) Finley_Util_AddScatter(p.row_numShapesTotal,row_index,p.numEqu,EM_F,F_p, p.row_DOF_UpperBound);
284     if (add_EM_S) Finley_Assemble_addToSystemMatrix(Mat,p.row_numShapesTotal,row_index,p.numEqu,p.col_numShapesTotal,row_index,p.numComp,EM_S);
285    
286     } /* end of isub */
287 gross 853 } /* end color check */
288     } /* end element loop */
289     } /* end color loop */
290    
291     THREAD_MEMFREE(EM_S);
292     THREAD_MEMFREE(EM_F);
293     THREAD_MEMFREE(row_index);
294 gross 798
295 gross 853 } /* end of pointer check */
296 gross 798 } /* end parallel region */
297     }

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