/[escript]/trunk/finley/src/Mesh_hex20.c
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Contents of /trunk/finley/src/Mesh_hex20.c

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Revision 782 - (show annotations)
Tue Jul 18 00:47:47 2006 UTC (13 years, 4 months ago) by bcumming
File MIME type: text/plain
File size: 47192 byte(s) 
Large number of changes to Finley for meshing in MPI.

- optimisation and neatening up of rectcanglular mesh generation code
- first and second order 1D, 2D and 3D rectangular meshes are now
  available in finley and escript using MPI.
- reduced meshes now generated in MPI, and interpolation to and from 
  reduced data types now supported.
1 /*
2 ************************************************************
3 * Copyright 2006 by ACcESS MNRF *
4 * *
5 * http://www.access.edu.au *
6 * Primary Business: Queensland, Australia *
7 * Licensed under the Open Software License version 3.0 *
8 * http://www.opensource.org/licenses/osl-3.0.php *
9 * *
10 ************************************************************
11 */
12
13 /**************************************************************/
14
15 /* Finley: generates rectangular meshes */
16
17 /* Generates a numElements[0] x numElements[1] x numElements[2] mesh with second order elements (Hex20) in the brick */
18 /* [0,Length[0]] x [0,Length[1]] x [0,Length[2]]. order is the desired accuracy of the */
19 /* integration scheme. */
20
21
22 /**************************************************************/
23
24 /* Author: gross@access.edu.au */
25 /* Version: $Id$
26
27 /**************************************************************/
28
29 #include "RectangularMesh.h"
30
31 #ifdef PASO_MPI
32 /* get the number of nodes/elements for domain with rank=rank, of size processors
33 where n is the total number of nodes/elements in the global domain */
34 static index_t domain_MODdim( index_t rank, index_t size, index_t n )
35 {
36 rank = size-rank-1;
37
38 if( rank < n%size )
39 return (index_t)floor(n/size)+1;
40 return (index_t)floor(n/size);
41 }
42
43
44 /* Determines the number of nodes/elements etc along an axis which is numElementsGlobal long for domain rank */
45 /* A bit messy, but it only has to be done once... */
46 static void domain_calculateDimension( index_t rank, dim_t size, dim_t numElementsGlobal, bool_t periodic, dim_t *numNodesLocal, dim_t *numDOFLocal, dim_t *numElementsLocal, dim_t *numElementsInternal, dim_t *firstNode, dim_t *nodesExternal, dim_t *DOFExternal, dim_t *numNodesExternal, bool_t *periodicLocal, dim_t *DOFBoundary )
47 {
48 index_t i0;
49 dim_t numNodesGlobal = numElementsGlobal+1;
50
51 (*numNodesLocal) = 2*domain_MODdim( rank, size, numNodesGlobal ) - 1;
52 if( rank<size-1 ) // add on node for right hand boundary
53 (*numNodesLocal) += 1;
54
55 numElementsLocal[0] = domain_MODdim( rank, size, numNodesGlobal )+1;
56 periodicLocal[0] = periodicLocal[1] = FALSE;
57 nodesExternal[0] = nodesExternal[1] = 1;
58 if( periodic )
59 {
60 if( size==1 )
61 {
62 numElementsLocal[0] = numElementsGlobal;
63 nodesExternal[0] = nodesExternal[1] = 0;
64 periodicLocal[0] = periodicLocal[1] = TRUE;
65 }
66 else
67 {
68 if( rank==0 )
69 {
70 periodicLocal[0] = TRUE;
71 numNodesLocal[0]++;
72 }
73 if( rank==(size-1) )
74 {
75 periodicLocal[1] = TRUE;
76 numNodesLocal[0]--;
77 numElementsLocal[0]--;
78 }
79 }
80 }
81 else if( !periodic )
82 {
83 if( rank==0 ){
84 nodesExternal[0]--;
85 numElementsLocal[0]--;
86 }
87 if( rank==(size-1) )
88 {
89 nodesExternal[1]--;
90 numElementsLocal[0]--;
91 }
92 }
93 nodesExternal[0]*=2;
94 numNodesExternal[0] = nodesExternal[0]+nodesExternal[1];
95
96 numElementsInternal[0] = numElementsLocal[0];
97 if( (rank==0) && (rank==size-1) );
98
99 else if( !periodic && ( (rank==0) ^ (rank==size-1) ) )
100 numElementsInternal[0] -= 1;
101 else
102 numElementsInternal[0] -= 2;
103
104 firstNode[0] = 0;
105 for( i0=0; i0<rank; i0++ )
106 firstNode[0] += domain_MODdim( i0, size, numNodesGlobal );
107 firstNode[0] *= 2;
108
109 numDOFLocal[0] = numNodesLocal[0];
110 if( periodicLocal[0] )
111 numDOFLocal[0]--;
112
113 DOFExternal[0] = nodesExternal[0];
114 DOFExternal[1] = nodesExternal[1];
115
116 if( size>1 )
117 {
118 DOFBoundary[0] = periodicLocal[0]*1 + (rank>0)*1;
119 DOFBoundary[1] = periodicLocal[1]*2 + (rank<(size-1))*2;
120 }
121 else
122 {
123 DOFBoundary[0] = DOFBoundary[1] = 0;
124 }
125 }
126 #endif
127 /**************************************************************/
128 #ifdef PASO_MPI
129 Finley_Mesh* Finley_RectangularMesh_Hex20_singleCPU(dim_t* numElements,double* Length,bool_t* periodic,index_t order,bool_t useElementsOnFace, Paso_MPIInfo *mpi_info) {
130 #else
131 Finley_Mesh* Finley_RectangularMesh_Hex20(dim_t* numElements,double* Length,bool_t* periodic,index_t order,bool_t useElementsOnFace) {
132 #endif
133 dim_t N0,N1,N2,NE0,NE1,NE2,i0,i1,i2,k,totalNECount,faceNECount,NDOF0,NDOF1,NDOF2,NFaceElements,NUMNODES,M0,M1,M2;
134 index_t node0;
135 Finley_Mesh* out;
136 char name[50];
137 double time0=Finley_timer();
138
139 NE0=MAX(1,numElements[0]);
140 NE1=MAX(1,numElements[1]);
141 NE2=MAX(1,numElements[2]);
142 N0=2*NE0+1;
143 N1=2*NE1+1;
144 N2=2*NE2+1;
145
146 if (N0<=MIN(N1,N2)) {
147 if (N1 <= N2) {
148 M0=1;
149 M1=N0;
150 M2=N0*N1;
151 } else {
152 M0=1;
153 M2=N0;
154 M1=N0*N2;
155 }
156 } else if (N1<=MIN(N2,N0)) {
157 if (N2 <= N0) {
158 M1=1;
159 M2=N1;
160 M0=N2*N1;
161 } else {
162 M1=1;
163 M0=N1;
164 M2=N1*N0;
165 }
166 } else {
167 if (N0 <= N1) {
168 M2=1;
169 M0=N2;
170 M1=N2*N0;
171 } else {
172 M2=1;
173 M1=N2;
174 M0=N1*N2;
175 }
176 }
177
178 NFaceElements=0;
179 if (!periodic[0]) {
180 NDOF0=N0;
181 NFaceElements+=2*NE1*NE2;
182 } else {
183 NDOF0=N0-1;
184 }
185 if (!periodic[1]) {
186 NDOF1=N1;
187 NFaceElements+=2*NE0*NE2;
188 } else {
189 NDOF1=N1-1;
190 }
191 if (!periodic[2]) {
192 NDOF2=N2;
193 NFaceElements+=2*NE0*NE1;
194 } else {
195 NDOF2=N2-1;
196 }
197
198 /* allocate mesh: */
199
200 sprintf(name,"Rectangular %d x %d x %d mesh",N0,N1,N2);
201 #ifdef PASO_MPI
202 out=Finley_Mesh_alloc(name,3,order,mpi_info);
203
204 if (! Finley_noError()) return NULL;
205
206 out->Elements=Finley_ElementFile_alloc(Hex20,out->order,mpi_info);
207 if (useElementsOnFace) {
208 out->FaceElements=Finley_ElementFile_alloc(Hex20Face,out->order,mpi_info);
209 out->ContactElements=Finley_ElementFile_alloc(Hex20Face_Contact,out->order,mpi_info);
210 } else {
211 out->FaceElements=Finley_ElementFile_alloc(Rec8,out->order,mpi_info);
212 out->ContactElements=Finley_ElementFile_alloc(Rec8_Contact,out->order,mpi_info);
213 }
214 out->Points=Finley_ElementFile_alloc(Point1,out->order,mpi_info);
215 if (! Finley_noError()) {
216 Finley_Mesh_dealloc(out);
217 return NULL;
218 }
219
220
221 /* allocate tables: */
222 Finley_NodeFile_allocTable(out->Nodes,N0*N1*N2);
223 Finley_NodeDistribution_allocTable( out->Nodes->degreeOfFreedomDistribution, NDOF0*NDOF1*NDOF2, 0, 0 );
224 Finley_ElementFile_allocTable(out->Elements,NE0*NE1*NE2);
225 Finley_ElementFile_allocTable(out->FaceElements,NFaceElements);
226 #else
227 out=Finley_Mesh_alloc(name,3,order);
228
229 if (! Finley_noError()) return NULL;
230
231 out->Elements=Finley_ElementFile_alloc(Hex20,out->order);
232 if (useElementsOnFace) {
233 out->FaceElements=Finley_ElementFile_alloc(Hex20Face,out->order);
234 out->ContactElements=Finley_ElementFile_alloc(Hex20Face_Contact,out->order);
235 } else {
236 out->FaceElements=Finley_ElementFile_alloc(Rec8,out->order);
237 out->ContactElements=Finley_ElementFile_alloc(Rec8_Contact,out->order);
238 }
239 out->Points=Finley_ElementFile_alloc(Point1,out->order);
240 if (! Finley_noError()) {
241 Finley_Mesh_dealloc(out);
242 return NULL;
243 }
244
245
246 /* allocate tables: */
247 Finley_NodeFile_allocTable(out->Nodes,N0*N1*N2);
248 Finley_ElementFile_allocTable(out->Elements,NE0*NE1*NE2);
249 Finley_ElementFile_allocTable(out->FaceElements,NFaceElements);
250 #endif
251 if (! Finley_noError()) {
252 Finley_Mesh_dealloc(out);
253 return NULL;
254 }
255
256 /* create nodes */
257 #pragma omp parallel for private(i0,i1,i2,k)
258 for (i2=0;i2<N2;i2++) {
259 for (i1=0;i1<N1;i1++) {
260 for (i0=0;i0<N0;i0++) {
261 k=M0*i0+M1*i1+M2*i2;
262 out->Nodes->Coordinates[INDEX2(0,k,3)]=DBLE(i0)/DBLE(N0-1)*Length[0];
263 out->Nodes->Coordinates[INDEX2(1,k,3)]=DBLE(i1)/DBLE(N1-1)*Length[1];
264 out->Nodes->Coordinates[INDEX2(2,k,3)]=DBLE(i2)/DBLE(N2-1)*Length[2];
265 out->Nodes->Id[k]=i0+N0*i1+N0*N1*i2;
266 out->Nodes->Tag[k]=0;
267 out->Nodes->degreeOfFreedom[k]=M0*(i0%NDOF0) +M1*(i1%NDOF1) +M2*(i2%NDOF2);
268 #ifdef PASO_MPI
269 out->Nodes->Dom[k]=NODE_INTERNAL;
270 #endif
271 }
272 }
273 }
274
275
276 /* tags for the faces: */
277 if (!periodic[2]) {
278 for (i1=0;i1<N1;i1++) {
279 for (i0=0;i0<N0;i0++) {
280 out->Nodes->Tag[M0*i0+M1*i1+M2*0]+=100;
281 out->Nodes->Tag[M0*i0+M1*i1+M2*(N2-1)]+=200;
282 }
283 }
284 }
285 if (!periodic[1]) {
286 for (i2=0;i2<N2;i2++) {
287 for (i0=0;i0<N0;i0++) {
288 out->Nodes->Tag[M0*i0+M1*0+M2*i2]+=10;
289 out->Nodes->Tag[M0*i0+M1*(N1-1)+M2*i2]+=20;
290 }
291 }
292 }
293 if (!periodic[0]) {
294 for (i2=0;i2<N2;i2++) {
295 for (i1=0;i1<N1;i1++) {
296 out->Nodes->Tag[M0*0+M1*i1+M2*i2]+=1;
297 out->Nodes->Tag[M0*(N0-1)+M1*i1+M2*i2]+=2;
298 }
299 }
300 }
301
302 /* set the elements: */
303
304 #pragma omp parallel for private(i0,i1,i2,k,node0)
305 for (i2=0;i2<NE2;i2++) {
306 for (i1=0;i1<NE1;i1++) {
307 for (i0=0;i0<NE0;i0++) {
308 k=i0+NE0*i1+NE0*NE1*i2;
309 node0=2*i0+2*i1*N0+2*N0*N1*i2;
310
311 out->Elements->Id[k]=k;
312 out->Elements->Tag[k]=0;
313 out->Elements->Color[k]=COLOR_MOD(i0)+3*COLOR_MOD(i1)+9*COLOR_MOD(i2);
314 #ifdef PASO_MPI
315 out->Elements->Dom[k]=ELEMENT_INTERNAL;
316 #endif
317
318 out->Elements->Nodes[INDEX2(0,k,20)]=node0;
319 out->Elements->Nodes[INDEX2(1,k,20)]=node0+2;
320 out->Elements->Nodes[INDEX2(2,k,20)]=node0+2*N0+2;
321 out->Elements->Nodes[INDEX2(3,k,20)]=node0+2*N0;
322 out->Elements->Nodes[INDEX2(4,k,20)]=node0+2*N0*N1;
323 out->Elements->Nodes[INDEX2(5,k,20)]=node0+2*N0*N1+2;
324 out->Elements->Nodes[INDEX2(6,k,20)]=node0+2*N0*N1+2*N0+2;
325 out->Elements->Nodes[INDEX2(7,k,20)]=node0+2*N0*N1+2*N0;
326 out->Elements->Nodes[INDEX2(8,k,20)]=node0+1;
327 out->Elements->Nodes[INDEX2(9,k,20)]=node0+N0+2;
328 out->Elements->Nodes[INDEX2(10,k,20)]=node0+2*N0+1;
329 out->Elements->Nodes[INDEX2(11,k,20)]=node0+N0;
330 out->Elements->Nodes[INDEX2(12,k,20)]=node0+N0*N1;
331 out->Elements->Nodes[INDEX2(13,k,20)]=node0+N0*N1+2;
332 out->Elements->Nodes[INDEX2(14,k,20)]=node0+N0*N1+2*N0+2;
333 out->Elements->Nodes[INDEX2(15,k,20)]=node0+N0*N1+2*N0;
334 out->Elements->Nodes[INDEX2(16,k,20)]=node0+2*N0*N1+1;
335 out->Elements->Nodes[INDEX2(17,k,20)]=node0+2*N0*N1+N0+2;
336 out->Elements->Nodes[INDEX2(18,k,20)]=node0+2*N0*N1+2*N0+1;
337 out->Elements->Nodes[INDEX2(19,k,20)]=node0+2*N0*N1+N0;
338 }
339 }
340 }
341 out->Elements->minColor=0;
342 out->Elements->maxColor=COLOR_MOD(0)+3*COLOR_MOD(0)+9*COLOR_MOD(0);
343
344 /* face elements: */
345
346 if (useElementsOnFace) {
347 NUMNODES=20;
348 } else {
349 NUMNODES=8;
350 }
351 totalNECount=NE0*NE1*NE2;
352 faceNECount=0;
353
354 /* these are the quadrilateral elements on boundary 1 (x3=0): */
355
356 if (!periodic[2]) {
357 /* ** elements on boundary 100 (x3=0): */
358 #pragma omp parallel for private(i0,i1,k,node0)
359 for (i1=0;i1<NE1;i1++) {
360 for (i0=0;i0<NE0;i0++) {
361 k=i0+NE0*i1+faceNECount;
362 node0=2*i0+2*i1*N0;
363
364 out->FaceElements->Id[k]=i0+NE0*i1+totalNECount;
365 out->FaceElements->Tag[k]=100;
366 out->FaceElements->Color[k]=(i0%2)+2*(i1%2);
367 #ifdef PASO_MPI
368 out->FaceElements->Dom[k]=ELEMENT_INTERNAL;
369 #endif
370
371 if (useElementsOnFace) {
372 out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0;
373 out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2*N0;
374 out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N0+2;
375 out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2;
376 out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0+2*N0*N1;
377 out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+2*N0*N1+2*N0;
378 out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+2*N0*N1+2*N0+2;
379 out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+2*N0*N1+2;
380 out->FaceElements->Nodes[INDEX2(8,k,NUMNODES)]=node0+N0;
381 out->FaceElements->Nodes[INDEX2(9,k,NUMNODES)]=node0+2*N0+1;
382 out->FaceElements->Nodes[INDEX2(10,k,NUMNODES)]=node0+N0+2;
383 out->FaceElements->Nodes[INDEX2(11,k,NUMNODES)]=node0+1;
384 out->FaceElements->Nodes[INDEX2(12,k,NUMNODES)]=node0+N0*N1;
385 out->FaceElements->Nodes[INDEX2(13,k,NUMNODES)]=node0+N0*N1+2*N0;
386 out->FaceElements->Nodes[INDEX2(14,k,NUMNODES)]=node0+N0*N1+2*N0+2;
387 out->FaceElements->Nodes[INDEX2(15,k,NUMNODES)]=node0+N0*N1+2;
388 out->FaceElements->Nodes[INDEX2(16,k,NUMNODES)]=node0+2*N0*N1+N0;
389 out->FaceElements->Nodes[INDEX2(17,k,NUMNODES)]=node0+2*N0*N1+2*N0+1;
390 out->FaceElements->Nodes[INDEX2(18,k,NUMNODES)]=node0+2*N0*N1+N0+2;
391 out->FaceElements->Nodes[INDEX2(19,k,NUMNODES)]=node0+2*N0*N1+1;
392 } else {
393 out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0;
394 out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2*N0;
395 out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N0+2;
396 out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2;
397 out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0+N0;
398 out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+2*N0+1;
399 out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+N0+2;
400 out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+1;
401 }
402 }
403 }
404 totalNECount+=NE1*NE0;
405 faceNECount+=NE1*NE0;
406
407 /* ** elements on boundary 200 (x3=1) */
408 #pragma omp parallel for private(i0,i1,k,node0)
409 for (i1=0;i1<NE1;i1++) {
410 for (i0=0;i0<NE0;i0++) {
411 k=i0+NE0*i1+faceNECount;
412 node0=2*i0+2*i1*N0+2*N0*N1*(NE2-1);
413
414 out->FaceElements->Id[k]=i0+NE0*i1+totalNECount;
415 out->FaceElements->Tag[k]=200;
416 out->FaceElements->Color[k]=(i0%2)+2*(i1%2)+4;
417 #ifdef PASO_MPI
418 out->FaceElements->Dom[k]=ELEMENT_INTERNAL;
419 #endif
420
421 if (useElementsOnFace) {
422 out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0+2*N0*N1;
423 out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2*N0*N1+2;
424 out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N0*N1+2*N0+2;
425 out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2*N0*N1+2*N0;
426
427 out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0;
428 out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+2;
429 out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+2*N0+2;
430 out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+2*N0;
431
432 out->FaceElements->Nodes[INDEX2(8,k,NUMNODES)]=node0+2*N0*N1+1;
433 out->FaceElements->Nodes[INDEX2(9,k,NUMNODES)]=node0+2*N0*N1+N0+2;
434 out->FaceElements->Nodes[INDEX2(10,k,NUMNODES)]=node0+2*N0*N1+2*N0+1;
435 out->FaceElements->Nodes[INDEX2(11,k,NUMNODES)]=node0+2*N0*N1+N0;
436
437 out->FaceElements->Nodes[INDEX2(12,k,NUMNODES)]=node0+N0*N1;
438 out->FaceElements->Nodes[INDEX2(13,k,NUMNODES)]=node0+N0*N1+2;
439 out->FaceElements->Nodes[INDEX2(14,k,NUMNODES)]=node0+N0*N1+2*N0+2;
440 out->FaceElements->Nodes[INDEX2(15,k,NUMNODES)]=node0+N0*N1+2*N0;
441
442 out->FaceElements->Nodes[INDEX2(16,k,NUMNODES)]=node0+1;
443 out->FaceElements->Nodes[INDEX2(17,k,NUMNODES)]=node0+N0+2;
444 out->FaceElements->Nodes[INDEX2(18,k,NUMNODES)]=node0+2*N0+1;
445 out->FaceElements->Nodes[INDEX2(19,k,NUMNODES)]=node0+N0;
446
447 } else {
448 out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0+2*N0*N1;
449 out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2*N0*N1+2;
450 out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N0*N1+2*N0+2;
451 out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2*N0*N1+2*N0;
452 out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0+2*N0*N1+1;
453 out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+2*N0*N1+N0+2;
454 out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+2*N0*N1+2*N0+1;
455 out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+2*N0*N1+N0;
456 }
457 }
458 }
459 totalNECount+=NE1*NE0;
460 faceNECount+=NE1*NE0;
461 }
462 if (!periodic[0]) {
463 /* ** elements on boundary 001 (x1=0): */
464
465 #pragma omp parallel for private(i1,i2,k,node0)
466 for (i2=0;i2<NE2;i2++) {
467 for (i1=0;i1<NE1;i1++) {
468 k=i1+NE1*i2+faceNECount;
469 node0=2*i1*N0+2*N0*N1*i2;
470
471 out->FaceElements->Id[k]=i1+NE1*i2+totalNECount;
472 out->FaceElements->Tag[k]=1;
473 out->FaceElements->Color[k]=(i2%2)+2*(i1%2)+8;
474 #ifdef PASO_MPI
475 out->FaceElements->Dom[k]=ELEMENT_INTERNAL;
476 #endif
477
478 if (useElementsOnFace) {
479 out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0;
480 out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2*N0*N1;
481 out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N0*N1+2*N0;
482 out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2*N0;
483
484 out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0+2;
485 out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+2*N0*N1+2;
486 out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+2*N0*N1+2*N0+2;
487 out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+2*N0+2;
488
489 out->FaceElements->Nodes[INDEX2(8,k,NUMNODES)]=node0+N0*N1;
490 out->FaceElements->Nodes[INDEX2(9,k,NUMNODES)]=node0+2*N0*N1+N0;
491 out->FaceElements->Nodes[INDEX2(10,k,NUMNODES)]=node0+N0*N1+2*N0;
492 out->FaceElements->Nodes[INDEX2(11,k,NUMNODES)]=node0+N0;
493
494 out->FaceElements->Nodes[INDEX2(12,k,NUMNODES)]=node0+1;
495 out->FaceElements->Nodes[INDEX2(13,k,NUMNODES)]=node0+2*N0*N1+1;
496 out->FaceElements->Nodes[INDEX2(14,k,NUMNODES)]=node0+2*N0*N1+2*N0+1;
497 out->FaceElements->Nodes[INDEX2(15,k,NUMNODES)]=node0+2*N0+1;
498
499 out->FaceElements->Nodes[INDEX2(16,k,NUMNODES)]=node0+N0*N1+2;
500 out->FaceElements->Nodes[INDEX2(17,k,NUMNODES)]=node0+2*N0*N1+N0+2;
501 out->FaceElements->Nodes[INDEX2(18,k,NUMNODES)]=node0+N0*N1+2*N0+2;
502 out->FaceElements->Nodes[INDEX2(19,k,NUMNODES)]=node0+N0+2;
503
504 } else {
505 out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0;
506 out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2*N0*N1;
507 out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N0*N1+2*N0;
508 out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2*N0;
509 out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0+N0*N1;
510 out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+2*N0*N1+N0;
511 out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+N0*N1+2*N0;
512 out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+N0;
513 }
514 }
515 }
516 totalNECount+=NE1*NE2;
517 faceNECount+=NE1*NE2;
518
519 /* ** elements on boundary 002 (x1=1): */
520
521 #pragma omp parallel for private(i1,i2,k,node0)
522 for (i2=0;i2<NE2;i2++) {
523 for (i1=0;i1<NE1;i1++) {
524 k=i1+NE1*i2+faceNECount;
525 node0=2*(NE0-1)+2*i1*N0+2*N0*N1*i2 ;
526
527 out->FaceElements->Id[k]=i1+NE1*i2+totalNECount;
528 out->FaceElements->Tag[k]=2;
529 out->FaceElements->Color[k]=(i2%2)+2*(i1%2)+12;
530 #ifdef PASO_MPI
531 out->FaceElements->Dom[k]=ELEMENT_INTERNAL;
532 #endif
533
534 if (useElementsOnFace) {
535 out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0+2;
536 out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2*N0+2;
537 out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N0*N1+2*N0+2;
538 out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2*N0*N1+2;
539
540 out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0;
541 out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+2*N0;
542 out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+2*N0*N1+2*N0;
543 out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+2*N0*N1;
544
545 out->FaceElements->Nodes[INDEX2(8,k,NUMNODES)]=node0+N0+2;
546 out->FaceElements->Nodes[INDEX2(9,k,NUMNODES)]=node0+N0*N1+2*N0+2;
547 out->FaceElements->Nodes[INDEX2(10,k,NUMNODES)]=node0+2*N0*N1+N0+2;
548 out->FaceElements->Nodes[INDEX2(11,k,NUMNODES)]=node0+N0*N1+2;
549
550 out->FaceElements->Nodes[INDEX2(12,k,NUMNODES)]=node0+1;
551 out->FaceElements->Nodes[INDEX2(13,k,NUMNODES)]=node0+2*N0+1;
552 out->FaceElements->Nodes[INDEX2(14,k,NUMNODES)]=node0+2*N0*N1+2*N0+1;
553 out->FaceElements->Nodes[INDEX2(15,k,NUMNODES)]=node0+2*N0*N1+1;
554
555 out->FaceElements->Nodes[INDEX2(16,k,NUMNODES)]=node0+N0;
556 out->FaceElements->Nodes[INDEX2(17,k,NUMNODES)]=node0+N0*N1+2*N0;
557 out->FaceElements->Nodes[INDEX2(18,k,NUMNODES)]=node0+2*N0*N1+N0;
558 out->FaceElements->Nodes[INDEX2(19,k,NUMNODES)]=node0+N0*N1;
559
560 } else {
561 out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0+2;
562 out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2*N0+2;
563 out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N0*N1+2*N0+2;
564 out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2*N0*N1+2;
565 out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0+N0+2;
566 out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+N0*N1+2*N0+2;
567 out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+2*N0*N1+N0+2;
568 out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+N0*N1+2;
569 }
570
571 }
572 }
573 totalNECount+=NE1*NE2;
574 faceNECount+=NE1*NE2;
575 }
576 if (!periodic[1]) {
577 /* ** elements on boundary 010 (x2=0): */
578
579 #pragma omp parallel for private(i0,i2,k,node0)
580 for (i2=0;i2<NE2;i2++) {
581 for (i0=0;i0<NE0;i0++) {
582 k=i0+NE0*i2+faceNECount;
583 node0=2*i0+2*N0*N1*i2;
584
585 out->FaceElements->Id[k]=i2+NE2*i0+totalNECount;
586 out->FaceElements->Tag[k]=10;
587 out->FaceElements->Color[k]=(i2%2)+2*(i0%2)+16;
588 #ifdef PASO_MPI
589 out->FaceElements->Dom[k]=ELEMENT_INTERNAL;
590 #endif
591
592 if (useElementsOnFace) {
593 out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0;
594 out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2;
595 out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N1*N0+2;
596 out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2*N1*N0;
597
598 out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0+2*N0;
599 out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+2*N0+2;
600 out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+2*N1*N0+2*N0+2;
601 out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+2*N1*N0+2*N0;
602
603 out->FaceElements->Nodes[INDEX2(8,k,NUMNODES)]=node0+1;
604 out->FaceElements->Nodes[INDEX2(9,k,NUMNODES)]=node0+N0*N1+2;
605 out->FaceElements->Nodes[INDEX2(10,k,NUMNODES)]=node0+2*N1*N0+1;
606 out->FaceElements->Nodes[INDEX2(11,k,NUMNODES)]=node0+N1*N0;
607
608 out->FaceElements->Nodes[INDEX2(12,k,NUMNODES)]=node0+N0;
609 out->FaceElements->Nodes[INDEX2(13,k,NUMNODES)]=node0+N0+2;
610 out->FaceElements->Nodes[INDEX2(14,k,NUMNODES)]=node0+2*N1*N0+N0+2;
611 out->FaceElements->Nodes[INDEX2(15,k,NUMNODES)]=node0+2*N1*N0+N0;
612
613 out->FaceElements->Nodes[INDEX2(16,k,NUMNODES)]=node0+2*N0+1;
614 out->FaceElements->Nodes[INDEX2(17,k,NUMNODES)]=node0+N0*N1+2*N0+2;
615 out->FaceElements->Nodes[INDEX2(18,k,NUMNODES)]=node0+2*N1*N0+2*N0+1;
616 out->FaceElements->Nodes[INDEX2(19,k,NUMNODES)]=node0+N1*N0+2*N0;
617
618 } else {
619 out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0;
620 out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2;
621 out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N1*N0+2;
622 out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2*N1*N0;
623 out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0+1;
624 out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+N0*N1+2;
625 out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+2*N1*N0+1;
626 out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+N1*N0;
627 }
628 }
629 }
630 totalNECount+=NE0*NE2;
631 faceNECount+=NE0*NE2;
632
633 /* ** elements on boundary 020 (x2=1): */
634
635 #pragma omp parallel for private(i0,i2,k,node0)
636 for (i2=0;i2<NE2;i2++) {
637 for (i0=0;i0<NE0;i0++) {
638 k=i0+NE0*i2+faceNECount;
639 node0=2*i0+2*(NE1-1)*N0+2*N0*N1*i2;
640
641 out->FaceElements->Id[k]=i2+NE2*i0+totalNECount;
642 out->FaceElements->Tag[k]=20;
643 out->FaceElements->Color[k]=(i2%2)+2*(i0%2)+20;
644 #ifdef PASO_MPI
645 out->FaceElements->Dom[k]=ELEMENT_INTERNAL;
646 #endif
647
648 if (useElementsOnFace) {
649 out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0+2*N0;
650 out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2*N0*N1+2*N0;
651 out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N0*N1+2*N0+2;
652 out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2*N0+2;
653
654 out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0;
655 out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+2*N0*N1;
656 out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+2*N0*N1+2;
657 out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+2;
658
659 out->FaceElements->Nodes[INDEX2(8,k,NUMNODES)]=node0+N1*N0+2*N0;
660 out->FaceElements->Nodes[INDEX2(9,k,NUMNODES)]=node0+2*N1*N0+2*N0+1;
661 out->FaceElements->Nodes[INDEX2(10,k,NUMNODES)]=node0+N0*N1+2*N0+2;
662 out->FaceElements->Nodes[INDEX2(11,k,NUMNODES)]=node0+2*N0+1;
663
664 out->FaceElements->Nodes[INDEX2(12,k,NUMNODES)]=node0+N0;
665 out->FaceElements->Nodes[INDEX2(13,k,NUMNODES)]=node0+2*N0*N1+N0;
666 out->FaceElements->Nodes[INDEX2(14,k,NUMNODES)]=node0+2*N0*N1+N0+2;
667 out->FaceElements->Nodes[INDEX2(15,k,NUMNODES)]=node0+N0+2;
668
669 out->FaceElements->Nodes[INDEX2(16,k,NUMNODES)]=node0+N1*N0;
670 out->FaceElements->Nodes[INDEX2(17,k,NUMNODES)]=node0+2*N1*N0+1;
671 out->FaceElements->Nodes[INDEX2(18,k,NUMNODES)]=node0+N0*N1+2;
672 out->FaceElements->Nodes[INDEX2(19,k,NUMNODES)]=node0+1;
673 } else {
674 out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0+2*N0;
675 out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2*N0*N1+2*N0;
676 out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N0*N1+2*N0+2;
677 out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2*N0+2;
678 out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0+N1*N0+2*N0;
679 out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+2*N1*N0+2*N0+1;
680 out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+N0*N1+2*N0+2;
681 out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+2*N0+1;
682 }
683 }
684 }
685 totalNECount+=NE0*NE2;
686 faceNECount+=NE0*NE2;
687 }
688 out->FaceElements->minColor=0;
689 out->FaceElements->maxColor=24;
690
691 #ifdef PASO_MPI
692 Finley_ElementFile_setDomainFlags( out->Elements );
693 Finley_ElementFile_setDomainFlags( out->FaceElements );
694 Finley_ElementFile_setDomainFlags( out->ContactElements );
695 Finley_ElementFile_setDomainFlags( out->Points );
696
697 /* reorder the degrees of freedom */
698 Finley_Mesh_resolveDegreeOfFreedomOrder( out, TRUE );
699 #endif
700
701 /* condense the nodes: */
702 Finley_Mesh_resolveNodeIds(out);
703
704 /* prepare mesh for further calculatuions:*/
705 Finley_Mesh_prepare(out) ;
706
707 #ifdef Finley_TRACE
708 printf("timing: mesh generation: %.4e sec\n",Finley_timer()-time0);
709 #endif
710
711 if (! Finley_noError()) {
712 Finley_Mesh_dealloc(out);
713 return NULL;
714 }
715 return out;
716 }
717 #ifdef PASO_MPI
718 Finley_Mesh* Finley_RectangularMesh_Hex20(dim_t* numElements,double* Length,bool_t* periodic,index_t order,bool_t useElementsOnFace) {
719 dim_t N0,N0t,N1,N2,NE0,NE1,NE2,i0,i1,i2,k,totalNECount,faceNECount,NDOF0,NDOF0t,NDOF1,NDOF2,NFaceElements,NUMNODES,M0,M1,M2;
720 dim_t kk,iI, NE0_local, numNodesLocal, numDOFLocal, numElementsLocal, numElementsInternal, nodesExternal[2], DOFExternal[2], numNodesExternal, DOFBoundary[2];
721 bool_t dom_left, dom_right, dom_internal;
722 index_t firstNode=0, DOFcount=0, node0, node1, node2, idCount;
723 index_t targetDomain=-1, firstNodeConstruct, j;
724 bool_t periodicLocal[2], domLeft=FALSE, domRight=FALSE, domInternal=FALSE, boundaryLeft=FALSE, boundaryRight=FALSE;
725 index_t *indexBackward=NULL, *indexForward=NULL,*facePerm=NULL, *forwardDOF=NULL, *backwardDOF=NULL;
726 Finley_Mesh* out;
727 char name[50];
728 double time0=Finley_timer();
729 Paso_MPIInfo *mpi_info = NULL;
730
731 NE0=MAX(1,numElements[0]);
732 NE1=MAX(1,numElements[1]);
733 NE2=MAX(1,numElements[2]);
734 N0=2*NE0+1;
735 N1=2*NE1+1;
736 N2=2*NE2+1;
737
738 index_t face0[] = {0,4,7,3,1,5,6,2,12,19,15,11,8,16,18,10,13,17,14,9};
739 index_t face1[] = {1,2,6,5,0,3,7,4,9,14,17,13,8,10,18,16,11,15,19,12};
740 index_t face2[] = {0,1,5,4,3,2,6,7,8,13,16,12,11,9,17,19,14,18,15,10};
741 index_t face3[] = {3,7,6,2,0,4,5,1,15,18,14,10,11,19,17,9,12,16,13,8};
742 index_t face4[] = {0,3,2,1,4,7,6,5,11,10,9,8,15,14,13,12,19,18,17,16};
743 index_t face5[] = {4,5,6,7,0,1,2,3,16,17,18,19,12,13,14,15,8,9,10,11};
744
745 index_t face0R[] = {0,4,7,3,12,19,15,11};
746 index_t face1R[] = {1,2,6,5,9,14,17,13};
747 index_t face2R[] = {0,1,5,4,8,13,16,12};
748 index_t face3R[] = {3,7,6,2,15,18,14,10};
749 index_t face4R[] = {0,3,2,1,11,10,9,8};
750 index_t face5R[] = {4,5,6,7,16,17,18,19};
751
752 /* get MPI information */
753 mpi_info = Paso_MPIInfo_alloc( MPI_COMM_WORLD );
754 if (! Finley_noError())
755 return NULL;
756
757 /* use the serial version to generate the mesh for the 1-CPU case */
758 if( mpi_info->size==1 )
759 {
760 out = Finley_RectangularMesh_Hex20_singleCPU( numElements, Length, periodic, order, useElementsOnFace, mpi_info);
761 return out;
762 }
763
764 if( mpi_info->rank==0 )
765 domLeft = TRUE;
766 if( mpi_info->rank==mpi_info->size-1 )
767 domRight = TRUE;
768 if( mpi_info->rank>0 && mpi_info->rank<mpi_info->size-1 )
769 domInternal = TRUE;
770
771 /* dimensions of the local subdomain */
772 domain_calculateDimension( mpi_info->rank, mpi_info->size, NE0, periodic[0], &numNodesLocal, &numDOFLocal, &numElementsLocal, &numElementsInternal, &firstNode, nodesExternal, DOFExternal, &numNodesExternal, periodicLocal, DOFBoundary );
773
774 NFaceElements=0;
775 if (!periodic[0]) {
776 NDOF0=N0;
777 NFaceElements+=(domRight+domLeft)*NE1*NE2;
778 } else {
779 NDOF0=N0-1;
780 }
781 if (!periodic[1]) {
782 NDOF1=N1;
783 NFaceElements+=2*numElementsLocal*NE2;
784 } else {
785 NDOF1=N1-1;
786 }
787 if (!periodic[2]) {
788 NDOF2=N2;
789 NFaceElements+=2*numElementsLocal*NE1;
790 } else {
791 NDOF2=N2-1;
792 }
793
794 boundaryLeft = !domLeft || periodicLocal[0];
795 boundaryRight = !domRight || periodicLocal[1];
796 N0t = numNodesLocal + boundaryRight + boundaryLeft*2;
797 NDOF0t = numDOFLocal + boundaryRight + boundaryLeft*2;
798 firstNodeConstruct = firstNode - 2*boundaryLeft;
799 firstNodeConstruct = firstNodeConstruct<0 ? N0+firstNodeConstruct-1 : firstNodeConstruct;
800
801 /* allocate mesh: */
802
803 sprintf(name,"Rectangular %d x %d x %d mesh",N0,N1,N2);
804 out=Finley_Mesh_alloc(name,3,order,mpi_info);
805
806 if (! Finley_noError()) return NULL;
807
808 out->Elements=Finley_ElementFile_alloc(Hex20,out->order,mpi_info);
809 if (useElementsOnFace) {
810 out->FaceElements=Finley_ElementFile_alloc(Hex20Face,out->order,mpi_info);
811 out->ContactElements=Finley_ElementFile_alloc(Hex20Face_Contact,out->order,mpi_info);
812 } else {
813 out->FaceElements=Finley_ElementFile_alloc(Rec8,out->order,mpi_info);
814 out->ContactElements=Finley_ElementFile_alloc(Rec8_Contact,out->order,mpi_info);
815 }
816 out->Points=Finley_ElementFile_alloc(Point1,out->order,mpi_info);
817 if (! Finley_noError()) {
818 Finley_Mesh_dealloc(out);
819 return NULL;
820 }
821
822 /* allocate tables: */
823 Finley_NodeFile_allocTable(out->Nodes,N0t*N1*N2);
824 Finley_NodeDistribution_allocTable( out->Nodes->degreeOfFreedomDistribution, numDOFLocal*NDOF1*NDOF2, NDOF1*NDOF2*3, 0 );
825 Finley_ElementFile_allocTable(out->Elements,numElementsLocal*NE1*NE2);
826 Finley_ElementFile_allocTable(out->FaceElements,NFaceElements);
827 if (! Finley_noError()) {
828 Finley_Mesh_dealloc(out);
829 return NULL;
830 }
831
832 #pragma omp parallel for private(i0,i1,i2,k)
833 for (k=0,i2=0;i2<N2;i2++) {
834 for (i1=0;i1<N1;i1++) {
835 for (i0=0;i0<N0t;i0++,k++) {
836 out->Nodes->Coordinates[INDEX2(0,k,3)]=DBLE((i0+firstNodeConstruct) % N0)/DBLE(N0-1)*Length[0];
837 out->Nodes->Coordinates[INDEX2(1,k,3)]=DBLE(i1)/DBLE(N1-1)*Length[1];
838 out->Nodes->Coordinates[INDEX2(2,k,3)]=DBLE(i2)/DBLE(N2-1)*Length[2];
839 out->Nodes->Id[k]=k;
840 out->Nodes->Tag[k]=0;
841 out->Nodes->degreeOfFreedom[k]=i0 + (i1%NDOF1)*N0t + (i2%NDOF2)*N0t*N1;
842 out->Nodes->Dom[k]=NODE_INTERNAL;
843 }
844 }
845 }
846
847 /* mark the nodes that reference external and boundary DOF as such */
848 if( boundaryLeft ){
849 for( i1=0; i1<N1; i1++ )
850 for( i2=0; i2<N2; i2++ ) {
851 out->Nodes->Dom[N1*N0t*i2+N0t*i1] = NODE_EXTERNAL;
852 out->Nodes->Dom[N1*N0t*i2+N0t*i1+1] = NODE_EXTERNAL;
853 out->Nodes->Dom[N1*N0t*i2+N0t*i1+2] = NODE_BOUNDARY;
854 }
855 }
856 if( boundaryRight ){
857 for( i1=0; i1<N1; i1++ )
858 for( i2=0; i2<N2; i2++ ) {
859 out->Nodes->Dom[N1*N0t*i2+N0t*(i1+1)-1] = NODE_EXTERNAL;
860 out->Nodes->Dom[N1*N0t*i2+N0t*(i1+1)-2] = NODE_BOUNDARY;
861 out->Nodes->Dom[N1*N0t*i2+N0t*(i1+1)-3] = NODE_BOUNDARY;
862 }
863 }
864 if( periodicLocal[0] ){
865 for( i1=0; i1<N1; i1++ )
866 for( i2=0; i2<N2; i2++ ) {
867 out->Nodes->degreeOfFreedom[N1*N0t*i2+i1*N0t+3] = out->Nodes->degreeOfFreedom[i1*N0t+2];
868 out->Nodes->Dom[N1*N0t*i2+N0t*i1+3] = NODE_BOUNDARY;
869 }
870 }
871
872 /* tag Nodes that are referenced by face elements */
873 if (!periodic[2]) {
874 for (i1=0;i1<N1;i1++) {
875 for (i0=0;i0<N0t;i0++) {
876 out->Nodes->Tag[i0 + N0t*i1]+=100;
877 out->Nodes->Tag[i0 + N0t*i1 + N0t*N1*(N2-1)]+=200;
878 }
879 }
880 }
881 if (!periodic[1]) {
882 for (i2=0;i2<N2;i2++) {
883 for (i0=0;i0<N0t;i0++) {
884 out->Nodes->Tag[i0 + i2*N1*N0t]+=10;
885 out->Nodes->Tag[i0 + (i2+1)*N1*N0t-N0t]+=20;
886 }
887 }
888 }
889 if (!periodic[0] && !domInternal ) {
890 for (i2=0;i2<N2;i2++) {
891 for (i1=0;i1<N1;i1++) {
892 if( domLeft )
893 out->Nodes->Tag[i1*N0t + i2*N0t*N1]+=1;
894 if( domRight )
895 out->Nodes->Tag[(i1+1)*N0t-1 + i2*N0t*N1]+=2;
896 }
897 }
898 }
899
900 /* form the boudary communication information */
901 forwardDOF = MEMALLOC(NDOF1*NDOF2*2,index_t);
902 backwardDOF = MEMALLOC(NDOF1*NDOF2*2,index_t);
903 if( !(mpi_info->size==2 && periodicLocal[0])){
904 if( boundaryLeft ) {
905 targetDomain = mpi_info->rank-1 < 0 ? mpi_info->size-1 : mpi_info->rank-1;
906 for( iI=0, i2=0; i2<NDOF2; i2++ ){
907 for( i1=0; i1<NDOF1; i1++, iI+=2 ){
908 forwardDOF[i1+i2*NDOF1] = out->Nodes->degreeOfFreedom[i2*N0t*N1+i1*N0t+2];
909 backwardDOF[iI] = out->Nodes->degreeOfFreedom[i2*N0t*N1+i1*N0t];
910 backwardDOF[iI+1] = out->Nodes->degreeOfFreedom[i2*N0t*N1+i1*N0t+1];
911 }
912 }
913 Finley_NodeDistribution_addForward( out->Nodes->degreeOfFreedomDistribution, targetDomain, NDOF1*NDOF2, forwardDOF );
914 Finley_NodeDistribution_addBackward( out->Nodes->degreeOfFreedomDistribution, targetDomain, NDOF1*NDOF2*2, backwardDOF );
915 }
916 if( boundaryRight ) {
917 targetDomain = mpi_info->rank+1 > mpi_info->size-1 ? 0 : mpi_info->rank+1;
918 for( iI=0,i2=0; i2<NDOF2; i2++ ){
919 for( i1=0; i1<NDOF1; i1++, iI+=2 ){
920 forwardDOF[iI] = out->Nodes->degreeOfFreedom[i2*N0t*N1+(i1+1)*N0t-3];
921 forwardDOF[iI+1] = out->Nodes->degreeOfFreedom[i2*N0t*N1+(i1+1)*N0t-2];
922 backwardDOF[i1+i2*NDOF1] = out->Nodes->degreeOfFreedom[i2*N0t*N1+(i1+1)*N0t-1];
923 }
924 }
925 Finley_NodeDistribution_addForward( out->Nodes->degreeOfFreedomDistribution, targetDomain, NDOF1*NDOF2*2, forwardDOF );
926 Finley_NodeDistribution_addBackward( out->Nodes->degreeOfFreedomDistribution, targetDomain, NDOF1*NDOF2, backwardDOF );
927 }
928 } else{
929 /* periodic boundary conditions with 2 domains, need to change the order in which domain 0 passes boundary data */
930 targetDomain = 1;
931
932 for( iI=0,i2=0; i2<NDOF2; i2++ ){
933 for( i1=0; i1<NDOF1; i1++, iI+=2 ){
934 forwardDOF[iI] = out->Nodes->degreeOfFreedom[i2*N0t*N1+(i1+1)*N0t-3];
935 forwardDOF[iI+1] = out->Nodes->degreeOfFreedom[i2*N0t*N1+(i1+1)*N0t-2];
936 backwardDOF[i1+i2*NDOF1] = out->Nodes->degreeOfFreedom[i2*N0t*N1+(i1+1)*N0t-1];
937 }
938 }
939 Finley_NodeDistribution_addForward( out->Nodes->degreeOfFreedomDistribution, targetDomain, NDOF1*NDOF2*2, forwardDOF );
940 Finley_NodeDistribution_addBackward( out->Nodes->degreeOfFreedomDistribution, targetDomain, NDOF1*NDOF2, backwardDOF );
941
942 for( iI=0, i2=0; i2<NDOF2; i2++ ){
943 for( i1=0; i1<NDOF1; i1++, iI+=2 ){
944 forwardDOF[i1+i2*NDOF1] = out->Nodes->degreeOfFreedom[i2*N0t*N1+i1*N0t+2];
945 backwardDOF[iI] = out->Nodes->degreeOfFreedom[i2*N0t*N1+i1*N0t];
946 backwardDOF[iI+1] = out->Nodes->degreeOfFreedom[i2*N0t*N1+i1*N0t+1];
947 }
948 }
949 Finley_NodeDistribution_addForward( out->Nodes->degreeOfFreedomDistribution, targetDomain, NDOF1*NDOF2, forwardDOF );
950 Finley_NodeDistribution_addBackward( out->Nodes->degreeOfFreedomDistribution, targetDomain, NDOF1*NDOF2*2, backwardDOF );
951 }
952 MEMFREE( forwardDOF );
953 MEMFREE( backwardDOF );
954 /* set the elements: */
955
956 k=0;
957 #pragma omp parallel for private(i0,i1,i2,k,node0)
958 for (i2=0;i2<NE2;i2++) {
959 for (i1=0;i1<NE1;i1++) {
960 for (i0=0;i0<numElementsLocal;i0++,k++) {
961 node0 = (periodicLocal[0] && !i0) ? 2*(i1*N0t + i2*N1*N0t) : 2*(i1*N0t + i2*N1*N0t + i0) + periodicLocal[0];
962
963 out->Elements->Id[k]=k;
964 out->Elements->Tag[k]=0;
965 out->Elements->Color[k]=COLOR_MOD(i0)+3*COLOR_MOD(i1)+9*COLOR_MOD(i2);
966 out->Elements->Dom[k]=ELEMENT_INTERNAL;
967
968 out->Elements->Nodes[INDEX2(0,k,20)]=node0;
969 out->Elements->Nodes[INDEX2(1,k,20)]=node0+2;
970 out->Elements->Nodes[INDEX2(2,k,20)]=node0+2*N0t+2;
971 out->Elements->Nodes[INDEX2(3,k,20)]=node0+2*N0t;
972 out->Elements->Nodes[INDEX2(4,k,20)]=node0+2*N0t*N1;
973 out->Elements->Nodes[INDEX2(5,k,20)]=node0+2*N0t*N1+2;
974 out->Elements->Nodes[INDEX2(6,k,20)]=node0+2*N0t*N1+2*N0t+2;
975 out->Elements->Nodes[INDEX2(7,k,20)]=node0+2*N0t*N1+2*N0t;
976 out->Elements->Nodes[INDEX2(8,k,20)]=node0+1;
977 out->Elements->Nodes[INDEX2(9,k,20)]=node0+N0t+2;
978 out->Elements->Nodes[INDEX2(10,k,20)]=node0+2*N0t+1;
979 out->Elements->Nodes[INDEX2(11,k,20)]=node0+N0t;
980 out->Elements->Nodes[INDEX2(12,k,20)]=node0+N0t*N1;
981 out->Elements->Nodes[INDEX2(13,k,20)]=node0+N0t*N1+2;
982 out->Elements->Nodes[INDEX2(14,k,20)]=node0+N0t*N1+2*N0t+2;
983 out->Elements->Nodes[INDEX2(15,k,20)]=node0+N0t*N1+2*N0t;
984 out->Elements->Nodes[INDEX2(16,k,20)]=node0+2*N0t*N1+1;
985 out->Elements->Nodes[INDEX2(17,k,20)]=node0+2*N0t*N1+N0t+2;
986 out->Elements->Nodes[INDEX2(18,k,20)]=node0+2*N0t*N1+2*N0t+1;
987 out->Elements->Nodes[INDEX2(19,k,20)]=node0+2*N0t*N1+N0t;
988 }
989 }
990 }
991 out->Elements->minColor=0;
992 out->Elements->maxColor=COLOR_MOD(0)+3*COLOR_MOD(0)+9*COLOR_MOD(0);
993
994 if( boundaryLeft )
995 for( i2=0; i2<NE2; i2++ )
996 for( i1=0; i1<NE1; i1++ )
997 out->Elements->Dom[i2*NE1*numElementsLocal+i1*numElementsLocal]=ELEMENT_BOUNDARY;
998 if( boundaryRight )
999 for( i2=0; i2<NE2; i2++ )
1000 for( i1=0; i1<NE1; i1++ )
1001 out->Elements->Dom[i2*NE1*numElementsLocal+(i1+1)*numElementsLocal-1]=ELEMENT_BOUNDARY;
1002
1003 out->Elements->numElements = numElementsLocal*NE1*NE2;
1004 Finley_ElementFile_setDomainFlags( out->Elements );
1005
1006 /* face elements: */
1007
1008 if (useElementsOnFace) {
1009 NUMNODES=20;
1010 } else {
1011 NUMNODES=8;
1012 }
1013 totalNECount=out->Elements->numElements;
1014 faceNECount=0;
1015 idCount = totalNECount;
1016
1017 /* these are the quadrilateral elements on boundary 1 (x3=0): */
1018 numElementsInternal = numElementsLocal-nodesExternal[0]-nodesExternal[1];
1019 if (!periodic[0] && !domInternal) {
1020 /* ** elements on boundary 001 (x1=0): */
1021 if( domLeft ){
1022 #pragma omp parallel for private(i1,i2,k)
1023 for (i2=0;i2<NE2;i2++) {
1024 for (i1=0;i1<NE1;i1++) {
1025 k=i1+NE1*i2+faceNECount;
1026 kk=i1*numElementsLocal + i2*numElementsLocal*NE1;
1027 facePerm =!useElementsOnFace ? face0R : face0;
1028
1029 out->FaceElements->Id[k]=idCount++;
1030 out->FaceElements->Tag[k]=1;
1031 out->FaceElements->Dom[k]=ELEMENT_INTERNAL;
1032 out->FaceElements->Color[k]=(i2%2)+2*(i1%2)+8;
1033
1034 for( j=0; j<NUMNODES; j++ )
1035 out->FaceElements->Nodes[INDEX2(j,k,NUMNODES)]=out->Elements->Nodes[INDEX2(facePerm[j],kk,20)];
1036 }
1037 }
1038 totalNECount+=NE1*NE2;
1039 faceNECount+=NE1*NE2;
1040 }
1041 /* ** elements on boundary 002 (x1=1): */
1042 if( domRight ) {
1043 #pragma omp parallel for private(i1,i2,k)
1044 for (i2=0;i2<NE2;i2++) {
1045 for (i1=0;i1<NE1;i1++) {
1046 k=i1+NE1*i2+faceNECount;
1047 kk=(i1+1)*numElementsLocal + i2*numElementsLocal*NE1 - 1;
1048 facePerm =!useElementsOnFace ? face1R : face1;
1049
1050 out->FaceElements->Id[k]=idCount++;
1051 out->FaceElements->Tag[k]=2;
1052 out->FaceElements->Dom[k]=ELEMENT_INTERNAL;
1053 out->FaceElements->Color[k]=(i2%2)+2*(i1%2)+12;
1054
1055 for( j=0; j<NUMNODES; j++ )
1056 out->FaceElements->Nodes[INDEX2(j,k,NUMNODES)]=out->Elements->Nodes[INDEX2(facePerm[j],kk,20)];
1057 }
1058 }
1059 totalNECount+=NE1*NE2;
1060 faceNECount+=NE1*NE2;
1061 }
1062 }
1063 if (!periodic[1]) {
1064 /* ** elements on boundary 010 (x2=0): */
1065
1066 #pragma omp parallel for private(i0,i2,k)
1067 for (i2=0;i2<NE2;i2++) {
1068 for (i0=0;i0<numElementsLocal;i0++) {
1069 k=i0+numElementsLocal*i2+faceNECount;
1070 kk=i0+numElementsLocal*NE1*i2;
1071 facePerm =!useElementsOnFace ? face2R : face2;
1072
1073 out->FaceElements->Id[k]=idCount++;
1074 out->FaceElements->Tag[k]=10;
1075 out->FaceElements->Dom[k]=ELEMENT_INTERNAL;
1076 out->FaceElements->Color[k]=(i0%2)+2*(i2%2)+16;
1077
1078 for( j=0; j<NUMNODES; j++ )
1079 out->FaceElements->Nodes[INDEX2(j,k,NUMNODES)]=out->Elements->Nodes[INDEX2(facePerm[j],kk,20)];
1080 }
1081 }
1082 if( boundaryLeft ){
1083 for( i2=0; i2<NE2; i2++ )
1084 out->FaceElements->Dom[faceNECount+i2*numElementsLocal]=ELEMENT_BOUNDARY;
1085 if( periodicLocal[0] )
1086 for( i2=0; i2<NE2; i2++ )
1087 out->FaceElements->Dom[faceNECount+i2*numElementsLocal+1]=ELEMENT_BOUNDARY;
1088 }
1089 if( boundaryRight )
1090 for( i2=0; i2<NE2; i2++ )
1091 out->FaceElements->Dom[faceNECount+(i2+1)*numElementsLocal-1]=ELEMENT_BOUNDARY;
1092 totalNECount+=numElementsLocal*NE2;
1093 faceNECount+=numElementsLocal*NE2;
1094
1095 /* ** elements on boundary 020 (x2=1): */
1096
1097 #pragma omp parallel for private(i0,i2,k)
1098 for (i2=0;i2<NE2;i2++) {
1099 for (i0=0;i0<numElementsLocal;i0++) {
1100 k=i0+numElementsLocal*i2+faceNECount;
1101 kk=i0+numElementsLocal*NE1*(i2+1)-numElementsLocal;
1102 facePerm =!useElementsOnFace ? face3R : face3;
1103
1104 out->FaceElements->Tag[k]=20;
1105 out->FaceElements->Id[k]=idCount++;
1106 out->FaceElements->Dom[k]=ELEMENT_INTERNAL;
1107 out->FaceElements->Color[k]=(i0%2)+2*(i2%2)+20;
1108
1109 for( j=0; j<NUMNODES; j++ )
1110 out->FaceElements->Nodes[INDEX2(j,k,NUMNODES)]=out->Elements->Nodes[INDEX2(facePerm[j],kk,20)];
1111 }
1112 }
1113 if( boundaryLeft ){
1114 for( i2=0; i2<NE2; i2++ )
1115 out->FaceElements->Dom[faceNECount+i2*numElementsLocal]=ELEMENT_BOUNDARY;
1116 if( periodicLocal[0] )
1117 for( i2=0; i2<NE2; i2++ )
1118 out->FaceElements->Dom[faceNECount+i2*numElementsLocal+1]=ELEMENT_BOUNDARY;
1119 }
1120 if( boundaryRight )
1121 for( i2=0; i2<NE2; i2++ )
1122 out->FaceElements->Dom[faceNECount+(i2+1)*numElementsLocal-1]=ELEMENT_BOUNDARY;
1123 totalNECount+=numElementsLocal*NE2;
1124 faceNECount+=numElementsLocal*NE2;
1125 }
1126 if (!periodic[2]) {
1127 /* elements on boundary 100 (x3=0): */
1128
1129 #pragma omp parallel for private(i0,i1,k)
1130 for (i1=0;i1<NE1;i1++) {
1131 for (i0=0; i0<numElementsLocal; i0++) {
1132 k=i0+numElementsLocal*i1+faceNECount;
1133 kk=i0 + i1*numElementsLocal;
1134 facePerm =!useElementsOnFace ? face4R : face4;
1135
1136 out->FaceElements->Id[k]=idCount++;
1137 out->FaceElements->Tag[k]=100;
1138 out->FaceElements->Dom[k]=ELEMENT_INTERNAL;
1139 out->FaceElements->Color[k]=(i0%2)+2*(i1%2);
1140
1141 for( j=0; j<NUMNODES; j++ )
1142 out->FaceElements->Nodes[INDEX2(j,k,NUMNODES)]=out->Elements->Nodes[INDEX2(facePerm[j],kk,20)];
1143 }
1144 }
1145 if( boundaryLeft ){
1146 for( i1=0; i1<NE1; i1++ )
1147 out->FaceElements->Dom[faceNECount+i1*numElementsLocal]=ELEMENT_BOUNDARY;
1148 if( periodicLocal[0] )
1149 for( i1=0; i1<NE1; i1++ )
1150 out->FaceElements->Dom[faceNECount+i1*numElementsLocal+1]=ELEMENT_BOUNDARY;
1151 }
1152 if( boundaryRight )
1153 for( i1=0; i1<NE1; i1++ )
1154 out->FaceElements->Dom[faceNECount+(i1+1)*numElementsLocal-1]=ELEMENT_BOUNDARY;
1155 totalNECount+=NE1*numElementsLocal;
1156 faceNECount+=NE1*numElementsLocal;
1157
1158 /* ** elements on boundary 200 (x3=1) */
1159
1160 #pragma omp parallel for private(i0,i1,k)
1161 for (i1=0;i1<NE1;i1++) {
1162 for (i0=0;i0<numElementsLocal;i0++) {
1163 k=i0+numElementsLocal*i1+faceNECount;
1164 kk=i0+i1*numElementsLocal+numElementsLocal*NE1*(NE2-1);
1165 facePerm = !useElementsOnFace ? face5R : face5;
1166
1167 out->FaceElements->Id[k]=idCount++;
1168 out->FaceElements->Tag[k]=200;
1169 out->FaceElements->Dom[k]=ELEMENT_INTERNAL;
1170 out->FaceElements->Color[k]=(i0%2)+2*(i1%2)+4;
1171
1172 for( j=0; j<NUMNODES; j++ )
1173 out->FaceElements->Nodes[INDEX2(j,k,NUMNODES)]=out->Elements->Nodes[INDEX2(facePerm[j],kk,20)];
1174 }
1175 }
1176 if( boundaryLeft ){
1177 for( i1=0; i1<NE1; i1++ )
1178 out->FaceElements->Dom[faceNECount+i1*numElementsLocal]=ELEMENT_BOUNDARY;
1179 if( periodicLocal[0] )
1180 for( i1=0; i1<NE1; i1++ )
1181 out->FaceElements->Dom[faceNECount+i1*numElementsLocal+1]=ELEMENT_BOUNDARY;
1182 }
1183 if( boundaryRight )
1184 for( i1=0; i1<NE1; i1++ )
1185 out->FaceElements->Dom[faceNECount+(i1+1)*numElementsLocal-1]=ELEMENT_BOUNDARY;
1186 totalNECount+=NE1*numElementsLocal;
1187 faceNECount+=NE1*numElementsLocal;
1188 }
1189 out->FaceElements->elementDistribution->numInternal = faceNECount;
1190
1191 out->FaceElements->minColor=0;
1192 out->FaceElements->maxColor=23;
1193 out->FaceElements->numElements=faceNECount;
1194 Finley_ElementFile_setDomainFlags( out->FaceElements );
1195
1196 /* setup distribution info for other elements */
1197 Finley_ElementFile_setDomainFlags( out->ContactElements );
1198 Finley_ElementFile_setDomainFlags( out->Points );
1199
1200 /* reorder the degrees of freedom */
1201 Finley_Mesh_resolveDegreeOfFreedomOrder( out, TRUE );
1202
1203 /* condense the nodes: */
1204 Finley_Mesh_resolveNodeIds(out);
1205 if( !Finley_MPI_noError(mpi_info) )
1206 {
1207 Paso_MPIInfo_dealloc( mpi_info );
1208 Finley_Mesh_dealloc(out);
1209 return NULL;
1210 }
1211
1212 /* prepare mesh for further calculatuions:*/
1213 Finley_Mesh_prepare(out);
1214 if( !Finley_MPI_noError(mpi_info) )
1215 {
1216 Paso_MPIInfo_dealloc( mpi_info );
1217 Finley_Mesh_dealloc(out);
1218 return NULL;
1219 }
1220
1221 /* free up memory */
1222 Paso_MPIInfo_dealloc( mpi_info );
1223
1224 //print_mesh_statistics( out, FALSE );
1225
1226 #ifdef Finley_TRACE
1227 printf("timing: mesh generation: %.4e sec\n",Finley_timer()-time0);
1228 #endif
1229
1230 return out;
1231 }
1232 #endif
1233

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