1 // --------------------------------------------------------------------------
4 // Markus Wittmann, 2016-2017
5 // RRZE, University of Erlangen-Nuremberg, Germany
6 // markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
9 // LSS, University of Erlangen-Nuremberg, Germany
11 // This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
13 // LbmBenchKernels is free software: you can redistribute it and/or modify
14 // it under the terms of the GNU General Public License as published by
15 // the Free Software Foundation, either version 3 of the License, or
16 // (at your option) any later version.
18 // LbmBenchKernels is distributed in the hope that it will be useful,
19 // but WITHOUT ANY WARRANTY; without even the implied warranty of
20 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
21 // GNU General Public License for more details.
23 // You should have received a copy of the GNU General Public License
24 // along with LbmBenchKernels. If not, see <http://www.gnu.org/licenses/>.
26 // --------------------------------------------------------------------------
27 #include "BenchKernelD3Q19Common.h"
39 void FNAME(D3Q19Kernel)(LatticeDesc * ld, KernelData * kernelData, CaseData * cd)
42 Assert(kernelData != NULL);
45 Assert(cd->Omega > 0.0);
46 Assert(cd->Omega < 2.0);
48 KernelData * kd = (KernelData *)kernelData;
55 int * gDims = kd->GlobalDims;
57 int oX = kd->Offsets[0];
58 int oY = kd->Offsets[1];
59 int oZ = kd->Offsets[2];
61 PdfT omega = cd->Omega;
62 PdfT omegaEven = omega;
63 // PdfT omegaOdd = 8.0*((2.0-omegaEven)/(8.0-omegaEven)); //"standard" trt odd relaxation parameter
64 PdfT magicParam = 1.0/12.0; // 1/4: best stability; 1/12: removes third-order advection error (best advection); 1/6: removes fourth-order diffusion error (best diffusion); 3/16: exact location of bounce back for poiseuille flow
65 PdfT omegaOdd = 1.0/( 0.5 + magicParam/(1.0/omega - 0.5) );
69 PdfT dir_indep_trm = 0.0;
72 PdfT w_1 = 1.0 / 18.0;
73 PdfT w_2 = 1.0 / 36.0;
75 PdfT w_1_x3 = w_1 * 3.0; PdfT w_1_nine_half = w_1 * 9.0/2.0; PdfT w_1_indep = 0.0;
76 PdfT w_2_x3 = w_2 * 3.0; PdfT w_2_nine_half = w_2 * 9.0/2.0; PdfT w_2_indep = 0.0;
81 // Declare pdf_N, pdf_E, pdf_S, pdf_W, ...
82 #define X(name, idx, idxinv, x, y, z) PdfT JOIN(pdf_,name);
86 PdfT * src = kd->Pdfs[0];
87 PdfT * dst = kd->Pdfs[1];
90 int maxIterations = cd->MaxIterations;
95 VtkWrite(ld, kd, cd, 0);
99 for (int iter = 0; iter < maxIterations; ++iter) {
102 #pragma omp parallel for collapse(3) default(none) \
103 shared(gDims,src, dst, w_0, w_1, w_2, omegaEven, omegaOdd, \
104 w_1_x3, w_2_x3, w_1_nine_half, w_2_nine_half, cd, \
105 oX, oY, oZ, nX, nY, nZ) \
106 private(ux, uy, uz, ui, dens, dir_indep_trm, \
108 pdf_N, pdf_E, pdf_S, pdf_W, \
109 pdf_NE, pdf_SE, pdf_SW, pdf_NW, \
110 pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \
111 pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW, \
112 evenPart, oddPart, w_1_indep, w_2_indep)
115 for (int z = oZ; z < nZ + oZ; ++z) {
116 for (int y = oY; y < nY + oY; ++y) {
117 for (int x = oX; x < nX + oX; ++x) {
118 #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir))
120 #ifdef PROP_MODEL_PUSH
122 // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ...
123 #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[I(x, y, z, idx)];
124 //if (isnan(JOIN(pdf_,name))) { printf("iter: %d %d %d %d %d %s nan\n", iter, x-oX, y-oY, z-oZ, idx, D3Q19_NAMES[idx]); exit(1);}
128 #elif PROP_MODEL_PULL
130 // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ...
131 #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[I(x - _x, y - _y, z - _z, idx)];
132 //if (isnan(JOIN(pdf_,name))) { printf("iter: %d %d %d %d %d %s nan\n", iter, x-oX, y-oY, z-oZ, idx, D3Q19_NAMES[idx]); exit(1);}
137 #error No implementation for PROP_MODEL_NAME.
140 // #define LID_DRIVEN_CAVITY
142 #ifdef LID_DRIVEN_CAVITY
144 if (z == nZ - 4 + oZ && x > 3 + oX && x < (nX - 4 + oX) && y > 3 + oY && y < (nY - 4 + oY)) {
151 ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
152 pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW;
153 uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN -
154 pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS;
155 uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS -
156 pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS;
157 #ifdef LID_DRIVEN_CAVITY
163 pdf_N + pdf_E + pdf_S + pdf_W +
164 pdf_NE + pdf_SE + pdf_SW + pdf_NW +
165 pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
166 pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
168 dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
170 #ifdef PROP_MODEL_PUSH
173 dst[I(x, y, z, D3Q19_C)] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
176 w_1_indep = w_1*dir_indep_trm;
179 evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
180 oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
181 dst[I(x, y + 1, z, D3Q19_N)] = pdf_N - evenPart - oddPart;
182 dst[I(x, y - 1, z, D3Q19_S)] = pdf_S - evenPart + oddPart;
185 evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
186 oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
187 dst[I(x + 1, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart;
188 dst[I(x - 1, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart;
191 evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
192 oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
193 dst[I(x, y, z + 1, D3Q19_T)] = pdf_T - evenPart - oddPart;
194 dst[I(x, y, z - 1, D3Q19_B)] = pdf_B - evenPart + oddPart;
197 w_2_indep = w_2*dir_indep_trm;
200 evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
201 oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
202 dst[I(x - 1, y + 1, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart;
203 dst[I(x + 1, y - 1, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart;
206 evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
207 oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
208 dst[I(x + 1, y + 1, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart;
209 dst[I(x - 1, y - 1, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart;
212 evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
213 oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
214 dst[I(x - 1, y, z + 1, D3Q19_TW)] = pdf_TW - evenPart - oddPart;
215 dst[I(x + 1, y, z - 1, D3Q19_BE)] = pdf_BE - evenPart + oddPart;
218 evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
219 oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
220 dst[I(x + 1, y, z + 1, D3Q19_TE)] = pdf_TE - evenPart - oddPart;
221 dst[I(x - 1, y, z - 1, D3Q19_BW)] = pdf_BW - evenPart + oddPart;
224 evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
225 oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
226 dst[I(x, y - 1, z + 1, D3Q19_TS)] = pdf_TS - evenPart - oddPart;
227 dst[I(x, y + 1, z - 1, D3Q19_BN)] = pdf_BN - evenPart + oddPart;
230 evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
231 oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
232 dst[I(x, y + 1, z + 1, D3Q19_TN)] = pdf_TN - evenPart - oddPart;
233 dst[I(x, y - 1, z - 1, D3Q19_BS)] = pdf_BS - evenPart + oddPart;
235 #elif PROP_MODEL_PULL
238 dst[I(x, y, z, D3Q19_C)] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
241 w_1_indep = w_1*dir_indep_trm;
244 evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
245 oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
246 dst[I(x, y, z, D3Q19_N)] = pdf_N - evenPart - oddPart;
247 dst[I(x, y, z, D3Q19_S)] = pdf_S - evenPart + oddPart;
250 evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
251 oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
252 dst[I(x, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart;
253 dst[I(x, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart;
256 evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
257 oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
258 dst[I(x, y, z, D3Q19_T)] = pdf_T - evenPart - oddPart;
259 dst[I(x, y, z, D3Q19_B)] = pdf_B - evenPart + oddPart;
262 w_2_indep = w_2*dir_indep_trm;
265 evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
266 oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
267 dst[I(x, y, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart;
268 dst[I(x, y, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart;
271 evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
272 oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
273 dst[I(x, y, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart;
274 dst[I(x, y, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart;
277 evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
278 oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
279 dst[I(x, y, z, D3Q19_TW)] = pdf_TW - evenPart - oddPart;
280 dst[I(x, y, z, D3Q19_BE)] = pdf_BE - evenPart + oddPart;
283 evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
284 oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
285 dst[I(x, y, z, D3Q19_TE)] = pdf_TE - evenPart - oddPart;
286 dst[I(x, y, z, D3Q19_BW)] = pdf_BW - evenPart + oddPart;
289 evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
290 oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
291 dst[I(x, y, z, D3Q19_TS)] = pdf_TS - evenPart - oddPart;
292 dst[I(x, y, z, D3Q19_BN)] = pdf_BN - evenPart + oddPart;
295 evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
296 oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
297 dst[I(x, y, z, D3Q19_TN)] = pdf_TN - evenPart - oddPart;
298 dst[I(x, y, z, D3Q19_BS)] = pdf_BS - evenPart + oddPart;
301 #error No implementation for PROP_MODEL_NAME.
307 } // z, y, x (from inner to outer)
309 // Fixup bounce back PDFs.
311 #pragma omp parallel for default(none) \
314 for (int i = 0; i < kd->nBounceBackPdfs; ++i) {
315 dst[kd->BounceBackPdfsDst[i]] = dst[kd->BounceBackPdfsSrc[i]];
319 kd->PdfsActive = dst;
320 KernelAddBodyForce(kd, ld, cd);
325 if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) {
326 kd->PdfsActive = dst;
327 VtkWrite(ld, kd, cd, iter);
333 kd->PdfsActive = dst;
334 KernelStatistics(kd, ld, cd, iter);
342 } // for (int iter = 0; ...
347 kd->PdfsActive = src;
348 VtkWrite(ld, kd, cd, maxIterations);
357 void FNAME(D3Q19BlkKernel)(LatticeDesc * ld, KernelData * kernelData, CaseData * cd)
360 Assert(kernelData != NULL);
363 Assert(cd->Omega > 0.0);
364 Assert(cd->Omega < 2.0);
366 KernelData * kd = (KernelData *)kernelData;
369 int nX = ld->Dims[0];
370 int nY = ld->Dims[1];
371 int nZ = ld->Dims[2];
373 int * gDims = kd->GlobalDims;
375 int oX = kd->Offsets[0];
376 int oY = kd->Offsets[1];
377 int oZ = kd->Offsets[2];
379 KernelDataEx * kdex = (KernelDataEx *)kd;
382 blk[0] = kdex->Blk[0];
383 blk[1] = kdex->Blk[1];
384 blk[2] = kdex->Blk[2];
386 PdfT omega = cd->Omega;
387 PdfT omegaEven = omega;
388 // PdfT omegaOdd = 8.0*((2.0-omegaEven)/(8.0-omegaEven)); //"standard" trt odd relaxation parameter
389 PdfT magicParam = 1.0/12.0; // 1/4: best stability; 1/12: removes third-order advection error (best advection); 1/6: removes fourth-order diffusion error (best diffusion); 3/16: exact location of bounce back for poiseuille flow
390 PdfT omegaOdd = 1.0/( 0.5 + magicParam/(1.0/omega - 0.5) );
394 PdfT dir_indep_trm = 0.0;
396 PdfT w_0 = 1.0 / 3.0;
397 PdfT w_1 = 1.0 / 18.0;
398 PdfT w_2 = 1.0 / 36.0;
400 PdfT w_1_x3 = w_1 * 3.0; PdfT w_1_nine_half = w_1 * 9.0/2.0; PdfT w_1_indep = 0.0;
401 PdfT w_2_x3 = w_2 * 3.0; PdfT w_2_nine_half = w_2 * 9.0/2.0; PdfT w_2_indep = 0.0;
406 // Declare pdf_N, pdf_E, pdf_S, pdf_W, ...
407 #define X(name, idx, idxinv, x, y, z) PdfT JOIN(pdf_,name);
411 PdfT * src = kd->Pdfs[0];
412 PdfT * dst = kd->Pdfs[1];
415 int maxIterations = cd->MaxIterations;
419 kd->PdfsActive = src;
420 VtkWrite(ld, kd, cd, 0);
427 nThreads = omp_get_max_threads();
430 for (int iter = 0; iter < maxIterations; ++iter) {
432 // #ifdef _OPENMP --> add line continuation
433 // #pragma omp parallel for collapse(3) default(none)
434 // shared(gDims,src, dst, w_0, w_1, w_2, omegaEven, omegaOdd,
435 // w_1_x3, w_2_x3, w_1_nine_half, w_2_nine_half, cd,
436 // oX, oY, oZ, nX, nY, nZ, blk)
437 // private(ux, uy, uz, ui, dens, dir_indep_trm,
439 // pdf_N, pdf_E, pdf_S, pdf_W,
440 // pdf_NE, pdf_SE, pdf_SW, pdf_NW,
441 // pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW,
442 // pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW,
443 // evenPart, oddPart, w_1_indep, w_2_indep)
446 #pragma omp parallel for default(none) \
447 shared(gDims,src, dst, w_0, w_1, w_2, omegaEven, omegaOdd, \
448 w_1_x3, w_2_x3, w_1_nine_half, w_2_nine_half, cd, \
449 oX, oY, oZ, nX, nY, nZ, blk, nThreads) \
450 private(ux, uy, uz, ui, dens, dir_indep_trm, \
452 pdf_N, pdf_E, pdf_S, pdf_W, \
453 pdf_NE, pdf_SE, pdf_SW, pdf_NW, \
454 pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \
455 pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW, \
456 evenPart, oddPart, w_1_indep, w_2_indep)
459 for (int i = 0; i < nThreads; ++i) {
461 int threadStartX = nX / nThreads * i;
462 int threadEndX = nX / nThreads * (i + 1);
464 if (nX % nThreads > 0) {
465 if (nX % nThreads > i) {
470 threadStartX += nX % nThreads;
471 threadEndX += nX % nThreads;
475 // for (int z = oZ; z < nZ + oZ; ++z) {
476 // for (int y = oY; y < nY + oY; ++y) {
477 // for (int x = oX; x < nX + oX; ++x) {
478 for (int bZ = oZ; bZ < nZ + oZ; bZ += blk[2]) {
479 for (int bY = oY; bY < nY + oY; bY += blk[1]) {
480 for (int bX = oX + threadStartX; bX < threadEndX + oX; bX += blk[0]) {
481 // for (int bX = oX; bX < nX + oX; bX += blk[0]) {
483 // Must do everything here, else it would break collapse.
484 int eZ = MIN(bZ + blk[2], nZ + oZ);
485 int eY = MIN(bY + blk[1], nY + oY);
486 int eX = MIN(bX + blk[0], threadEndX + oX);
488 // printf("%d: %d-%d %d-%d %d-%d %d - %d\n", omp_get_thread_num(), bZ, eZ, bY, eY, bX, eX, threadStartX, threadEndX);
490 for (int z = bZ; z < eZ; ++z) {
491 for (int y = bY; y < eY; ++y) {
492 for (int x = bX; x < eX; ++x) {
494 #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir))
496 #ifdef PROP_MODEL_PUSH
498 // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ...
499 #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[I(x, y, z, idx)];
500 //if (isnan(JOIN(pdf_,name))) { printf("iter: %d %d %d %d %d %s nan\n", iter, x-oX, y-oY, z-oZ, idx, D3Q19_NAMES[idx]); exit(1);}
504 #elif PROP_MODEL_PULL
506 // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ...
507 #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[I(x - _x, y - _y, z - _z, idx)];
508 //if (isnan(JOIN(pdf_,name))) { printf("iter: %d %d %d %d %d %s nan\n", iter, x-oX, y-oY, z-oZ, idx, D3Q19_NAMES[idx]); exit(1);}
513 #error No implementation for PROP_MODEL_NAME.
516 // #define LID_DRIVEN_CAVITY
518 #ifdef LID_DRIVEN_CAVITY
520 if (z == nZ - 4 + oZ && x > 3 + oX && x < (nX - 4 + oX) && y > 3 + oY && y < (nY - 4 + oY)) {
527 ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
528 pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW;
529 uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN -
530 pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS;
531 uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS -
532 pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS;
533 #ifdef LID_DRIVEN_CAVITY
539 pdf_N + pdf_E + pdf_S + pdf_W +
540 pdf_NE + pdf_SE + pdf_SW + pdf_NW +
541 pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
542 pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
544 dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
546 #ifdef PROP_MODEL_PUSH
549 dst[I(x, y, z, D3Q19_C)] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
552 w_1_indep = w_1*dir_indep_trm;
555 evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
556 oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
557 dst[I(x, y + 1, z, D3Q19_N)] = pdf_N - evenPart - oddPart;
558 dst[I(x, y - 1, z, D3Q19_S)] = pdf_S - evenPart + oddPart;
561 evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
562 oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
563 dst[I(x + 1, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart;
564 dst[I(x - 1, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart;
567 evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
568 oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
569 dst[I(x, y, z + 1, D3Q19_T)] = pdf_T - evenPart - oddPart;
570 dst[I(x, y, z - 1, D3Q19_B)] = pdf_B - evenPart + oddPart;
573 w_2_indep = w_2*dir_indep_trm;
576 evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
577 oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
578 dst[I(x - 1, y + 1, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart;
579 dst[I(x + 1, y - 1, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart;
582 evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
583 oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
584 dst[I(x + 1, y + 1, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart;
585 dst[I(x - 1, y - 1, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart;
588 evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
589 oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
590 dst[I(x - 1, y, z + 1, D3Q19_TW)] = pdf_TW - evenPart - oddPart;
591 dst[I(x + 1, y, z - 1, D3Q19_BE)] = pdf_BE - evenPart + oddPart;
594 evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
595 oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
596 dst[I(x + 1, y, z + 1, D3Q19_TE)] = pdf_TE - evenPart - oddPart;
597 dst[I(x - 1, y, z - 1, D3Q19_BW)] = pdf_BW - evenPart + oddPart;
600 evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
601 oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
602 dst[I(x, y - 1, z + 1, D3Q19_TS)] = pdf_TS - evenPart - oddPart;
603 dst[I(x, y + 1, z - 1, D3Q19_BN)] = pdf_BN - evenPart + oddPart;
606 evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
607 oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
608 dst[I(x, y + 1, z + 1, D3Q19_TN)] = pdf_TN - evenPart - oddPart;
609 dst[I(x, y - 1, z - 1, D3Q19_BS)] = pdf_BS - evenPart + oddPart;
611 #elif PROP_MODEL_PULL
614 dst[I(x, y, z, D3Q19_C)] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
617 w_1_indep = w_1*dir_indep_trm;
620 evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
621 oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
622 dst[I(x, y, z, D3Q19_N)] = pdf_N - evenPart - oddPart;
623 dst[I(x, y, z, D3Q19_S)] = pdf_S - evenPart + oddPart;
626 evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
627 oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
628 dst[I(x, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart;
629 dst[I(x, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart;
632 evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
633 oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
634 dst[I(x, y, z, D3Q19_T)] = pdf_T - evenPart - oddPart;
635 dst[I(x, y, z, D3Q19_B)] = pdf_B - evenPart + oddPart;
638 w_2_indep = w_2*dir_indep_trm;
641 evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
642 oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
643 dst[I(x, y, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart;
644 dst[I(x, y, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart;
647 evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
648 oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
649 dst[I(x, y, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart;
650 dst[I(x, y, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart;
653 evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
654 oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
655 dst[I(x, y, z, D3Q19_TW)] = pdf_TW - evenPart - oddPart;
656 dst[I(x, y, z, D3Q19_BE)] = pdf_BE - evenPart + oddPart;
659 evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
660 oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
661 dst[I(x, y, z, D3Q19_TE)] = pdf_TE - evenPart - oddPart;
662 dst[I(x, y, z, D3Q19_BW)] = pdf_BW - evenPart + oddPart;
665 evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
666 oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
667 dst[I(x, y, z, D3Q19_TS)] = pdf_TS - evenPart - oddPart;
668 dst[I(x, y, z, D3Q19_BN)] = pdf_BN - evenPart + oddPart;
671 evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
672 oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
673 dst[I(x, y, z, D3Q19_TN)] = pdf_TN - evenPart - oddPart;
674 dst[I(x, y, z, D3Q19_BS)] = pdf_BS - evenPart + oddPart;
677 #error No implementation for PROP_MODEL_NAME.
683 } // z, y, x (from inner to outer)
686 } // z, y, x (from inner to outer)
688 } // loop over threads
690 // Fixup bounce back PDFs.
692 #pragma omp parallel for default(none) \
695 for (int i = 0; i < kd->nBounceBackPdfs; ++i) {
696 dst[kd->BounceBackPdfsDst[i]] = dst[kd->BounceBackPdfsSrc[i]];
700 kd->PdfsActive = dst;
701 KernelAddBodyForce(kd, ld, cd);
706 if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) {
707 kd->PdfsActive = dst;
708 VtkWrite(ld, kd, cd, iter);
714 kd->PdfsActive = dst;
715 KernelStatistics(kd, ld, cd, iter);
723 } // for (int iter = 0; ...
728 kd->PdfsActive = src;
729 VtkWrite(ld, kd, cd, maxIterations);