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1// --------------------------------------------------------------------------
2//
3// Copyright
4// Markus Wittmann, 2016-2017
5// RRZE, University of Erlangen-Nuremberg, Germany
6// markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
7//
8// Viktor Haag, 2016
9// LSS, University of Erlangen-Nuremberg, Germany
10//
11// This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
12//
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.
17//
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.
22//
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/>.
25//
26// --------------------------------------------------------------------------
27#include "BenchKernelD3Q19Common.h"
28
29#include "Memory.h"
30#include "Vtk.h"
e3f82424 31#include "LikwidIf.h"
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32
33#include <inttypes.h>
34#include <math.h>
35
36#ifdef _OPENMP
37 #include <omp.h>
38#endif
39
40void FNAME(D3Q19Kernel)(LatticeDesc * ld, KernelData * kernelData, CaseData * cd)
41{
42 Assert(ld != NULL);
43 Assert(kernelData != NULL);
44 Assert(cd != NULL);
45
46 Assert(cd->Omega > 0.0);
47 Assert(cd->Omega < 2.0);
48
49 KernelData * kd = (KernelData *)kernelData;
50
51
52 int nX = ld->Dims[0];
53 int nY = ld->Dims[1];
54 int nZ = ld->Dims[2];
55
56 int * gDims = kd->GlobalDims;
57
58 int oX = kd->Offsets[0];
59 int oY = kd->Offsets[1];
60 int oZ = kd->Offsets[2];
61
62 PdfT omega = cd->Omega;
63 PdfT omegaEven = omega;
64// PdfT omegaOdd = 8.0*((2.0-omegaEven)/(8.0-omegaEven)); //"standard" trt odd relaxation parameter
65 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
66 PdfT omegaOdd = 1.0/( 0.5 + magicParam/(1.0/omega - 0.5) );
67
68 PdfT evenPart = 0.0;
69 PdfT oddPart = 0.0;
70 PdfT dir_indep_trm = 0.0;
71
72 PdfT w_0 = 1.0 / 3.0;
73 PdfT w_1 = 1.0 / 18.0;
74 PdfT w_2 = 1.0 / 36.0;
75
76 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;
77 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;
78
79 PdfT ux, uy, uz, ui;
80 PdfT dens;
81
82 // Declare pdf_N, pdf_E, pdf_S, pdf_W, ...
83 #define X(name, idx, idxinv, x, y, z) PdfT JOIN(pdf_,name);
84 D3Q19_LIST
85 #undef X
86
87 PdfT * src = kd->Pdfs[0];
88 PdfT * dst = kd->Pdfs[1];
89 PdfT * tmp;
90
91 int maxIterations = cd->MaxIterations;
92
93 #ifdef VTK_OUTPUT
94 if (cd->VtkOutput) {
95 kd->PdfsActive = src;
96 VtkWrite(ld, kd, cd, 0);
97 }
98 #endif
99
100 for (int iter = 0; iter < maxIterations; ++iter) {
101
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102 X_LIKWID_START("os");
103
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104 #ifdef _OPENMP
105 #pragma omp parallel for collapse(3) default(none) \
106 shared(gDims,src, dst, w_0, w_1, w_2, omegaEven, omegaOdd, \
107 w_1_x3, w_2_x3, w_1_nine_half, w_2_nine_half, cd, \
108 oX, oY, oZ, nX, nY, nZ) \
109 private(ux, uy, uz, ui, dens, dir_indep_trm, \
110 pdf_C, \
111 pdf_N, pdf_E, pdf_S, pdf_W, \
112 pdf_NE, pdf_SE, pdf_SW, pdf_NW, \
113 pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \
114 pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW, \
115 evenPart, oddPart, w_1_indep, w_2_indep)
116 #endif
117
e3f82424 118 for (int x = oX; x < nX + oX; ++x) {
10988083 119 for (int y = oY; y < nY + oY; ++y) {
e3f82424 120 for (int z = oZ; z < nZ + oZ; ++z) {
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121 #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir))
122
123#ifdef PROP_MODEL_PUSH
124
125 // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ...
126 #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[I(x, y, z, idx)];
127 //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 D3Q19_LIST
129 #undef X
130
131#elif PROP_MODEL_PULL
132
133 // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ...
134 #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[I(x - _x, y - _y, z - _z, idx)];
135 //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);}
136 D3Q19_LIST
137 #undef X
138
139#else
140 #error No implementation for PROP_MODEL_NAME.
141#endif
142
143 // #define LID_DRIVEN_CAVITY
144
145 #ifdef LID_DRIVEN_CAVITY
146
147 if (z == nZ - 4 + oZ && x > 3 + oX && x < (nX - 4 + oX) && y > 3 + oY && y < (nY - 4 + oY)) {
148 ux = 0.1 * 0.577;
149 uy = 0.0;
150 uz = 0.0;
151
152 } else {
153 #endif
154 ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
155 pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW;
156 uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN -
157 pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS;
158 uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS -
159 pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS;
160 #ifdef LID_DRIVEN_CAVITY
161 }
162
163 #endif
164
165 dens = pdf_C +
166 pdf_N + pdf_E + pdf_S + pdf_W +
167 pdf_NE + pdf_SE + pdf_SW + pdf_NW +
168 pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
169 pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
170
171 dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
172
173#ifdef PROP_MODEL_PUSH
174
175 // direction: w_0
176 dst[I(x, y, z, D3Q19_C)] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
177
178 // direction: w_1
179 w_1_indep = w_1*dir_indep_trm;
180
181 ui = uy;
182 evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
183 oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
184 dst[I(x, y + 1, z, D3Q19_N)] = pdf_N - evenPart - oddPart;
185 dst[I(x, y - 1, z, D3Q19_S)] = pdf_S - evenPart + oddPart;
186
187 ui = ux;
188 evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
189 oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
190 dst[I(x + 1, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart;
191 dst[I(x - 1, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart;
192
193 ui = uz;
194 evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
195 oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
196 dst[I(x, y, z + 1, D3Q19_T)] = pdf_T - evenPart - oddPart;
197 dst[I(x, y, z - 1, D3Q19_B)] = pdf_B - evenPart + oddPart;
198
199 // direction: w_2
200 w_2_indep = w_2*dir_indep_trm;
201
202 ui = -ux + uy;
203 evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
204 oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
205 dst[I(x - 1, y + 1, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart;
206 dst[I(x + 1, y - 1, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart;
207
208 ui = ux + uy;
209 evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
210 oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
211 dst[I(x + 1, y + 1, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart;
212 dst[I(x - 1, y - 1, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart;
213
214 ui = -ux + uz;
215 evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
216 oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
217 dst[I(x - 1, y, z + 1, D3Q19_TW)] = pdf_TW - evenPart - oddPart;
218 dst[I(x + 1, y, z - 1, D3Q19_BE)] = pdf_BE - evenPart + oddPart;
219
220 ui = ux + uz;
221 evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
222 oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
223 dst[I(x + 1, y, z + 1, D3Q19_TE)] = pdf_TE - evenPart - oddPart;
224 dst[I(x - 1, y, z - 1, D3Q19_BW)] = pdf_BW - evenPart + oddPart;
225
226 ui = -uy + uz;
227 evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
228 oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
229 dst[I(x, y - 1, z + 1, D3Q19_TS)] = pdf_TS - evenPart - oddPart;
230 dst[I(x, y + 1, z - 1, D3Q19_BN)] = pdf_BN - evenPart + oddPart;
231
232 ui = uy + uz;
233 evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
234 oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
235 dst[I(x, y + 1, z + 1, D3Q19_TN)] = pdf_TN - evenPart - oddPart;
236 dst[I(x, y - 1, z - 1, D3Q19_BS)] = pdf_BS - evenPart + oddPart;
237
238#elif PROP_MODEL_PULL
239
240 // direction: w_0
241 dst[I(x, y, z, D3Q19_C)] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
242
243 // direction: w_1
244 w_1_indep = w_1*dir_indep_trm;
245
246 ui = uy;
247 evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
248 oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
249 dst[I(x, y, z, D3Q19_N)] = pdf_N - evenPart - oddPart;
250 dst[I(x, y, z, D3Q19_S)] = pdf_S - evenPart + oddPart;
251
252 ui = ux;
253 evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
254 oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
255 dst[I(x, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart;
256 dst[I(x, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart;
257
258 ui = uz;
259 evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
260 oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
261 dst[I(x, y, z, D3Q19_T)] = pdf_T - evenPart - oddPart;
262 dst[I(x, y, z, D3Q19_B)] = pdf_B - evenPart + oddPart;
263
264 // direction: w_2
265 w_2_indep = w_2*dir_indep_trm;
266
267 ui = -ux + uy;
268 evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
269 oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
270 dst[I(x, y, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart;
271 dst[I(x, y, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart;
272
273 ui = ux + uy;
274 evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
275 oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
276 dst[I(x, y, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart;
277 dst[I(x, y, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart;
278
279 ui = -ux + uz;
280 evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
281 oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
282 dst[I(x, y, z, D3Q19_TW)] = pdf_TW - evenPart - oddPart;
283 dst[I(x, y, z, D3Q19_BE)] = pdf_BE - evenPart + oddPart;
284
285 ui = ux + uz;
286 evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
287 oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
288 dst[I(x, y, z, D3Q19_TE)] = pdf_TE - evenPart - oddPart;
289 dst[I(x, y, z, D3Q19_BW)] = pdf_BW - evenPart + oddPart;
290
291 ui = -uy + uz;
292 evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
293 oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
294 dst[I(x, y, z, D3Q19_TS)] = pdf_TS - evenPart - oddPart;
295 dst[I(x, y, z, D3Q19_BN)] = pdf_BN - evenPart + oddPart;
296
297 ui = uy + uz;
298 evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
299 oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
300 dst[I(x, y, z, D3Q19_TN)] = pdf_TN - evenPart - oddPart;
301 dst[I(x, y, z, D3Q19_BS)] = pdf_BS - evenPart + oddPart;
302
303#else
304 #error No implementation for PROP_MODEL_NAME.
305#endif
306
307 #undef I
308 }
309 }
310 } // z, y, x (from inner to outer)
311
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312 // Stop counters before bounce back. Else computing loop balance will be incorrect.
313 X_LIKWID_STOP("os");
314
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315 // Fixup bounce back PDFs.
316 #ifdef _OPENMP
317 #pragma omp parallel for default(none) \
318 shared(kd, dst)
319 #endif
320 for (int i = 0; i < kd->nBounceBackPdfs; ++i) {
321 dst[kd->BounceBackPdfsDst[i]] = dst[kd->BounceBackPdfsSrc[i]];
322 }
323
324 #ifdef VERIFICATION
325 kd->PdfsActive = dst;
326 KernelAddBodyForce(kd, ld, cd);
327 #endif
328
329 #ifdef VTK_OUTPUT
330
331 if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) {
332 kd->PdfsActive = dst;
333 VtkWrite(ld, kd, cd, iter);
334 }
335
336 #endif
337
338 #ifdef STATISTICS
339 kd->PdfsActive = dst;
340 KernelStatistics(kd, ld, cd, iter);
341 #endif
342
343 // swap grids
344 tmp = src;
345 src = dst;
346 dst = tmp;
347
348 } // for (int iter = 0; ...
349
350 #ifdef VTK_OUTPUT
351
352 if (cd->VtkOutput) {
353 kd->PdfsActive = src;
354 VtkWrite(ld, kd, cd, maxIterations);
355 }
356
357 #endif
358
359 return;
360}
361
362
363void FNAME(D3Q19BlkKernel)(LatticeDesc * ld, KernelData * kernelData, CaseData * cd)
364{
365 Assert(ld != NULL);
366 Assert(kernelData != NULL);
367 Assert(cd != NULL);
368
369 Assert(cd->Omega > 0.0);
370 Assert(cd->Omega < 2.0);
371
372 KernelData * kd = (KernelData *)kernelData;
373
374
375 int nX = ld->Dims[0];
376 int nY = ld->Dims[1];
377 int nZ = ld->Dims[2];
378
379 int * gDims = kd->GlobalDims;
380
381 int oX = kd->Offsets[0];
382 int oY = kd->Offsets[1];
383 int oZ = kd->Offsets[2];
384
385 KernelDataEx * kdex = (KernelDataEx *)kd;
386
387 int blk[3];
388 blk[0] = kdex->Blk[0];
389 blk[1] = kdex->Blk[1];
390 blk[2] = kdex->Blk[2];
391
392 PdfT omega = cd->Omega;
393 PdfT omegaEven = omega;
394// PdfT omegaOdd = 8.0*((2.0-omegaEven)/(8.0-omegaEven)); //"standard" trt odd relaxation parameter
395 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
396 PdfT omegaOdd = 1.0/( 0.5 + magicParam/(1.0/omega - 0.5) );
397
398 PdfT evenPart = 0.0;
399 PdfT oddPart = 0.0;
400 PdfT dir_indep_trm = 0.0;
401
402 PdfT w_0 = 1.0 / 3.0;
403 PdfT w_1 = 1.0 / 18.0;
404 PdfT w_2 = 1.0 / 36.0;
405
406 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;
407 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;
408
409 PdfT ux, uy, uz, ui;
410 PdfT dens;
411
412 // Declare pdf_N, pdf_E, pdf_S, pdf_W, ...
413 #define X(name, idx, idxinv, x, y, z) PdfT JOIN(pdf_,name);
414 D3Q19_LIST
415 #undef X
416
417 PdfT * src = kd->Pdfs[0];
418 PdfT * dst = kd->Pdfs[1];
419 PdfT * tmp;
420
421 int maxIterations = cd->MaxIterations;
422
423 #ifdef VTK_OUTPUT
424 if (cd->VtkOutput) {
425 kd->PdfsActive = src;
426 VtkWrite(ld, kd, cd, 0);
427 }
428 #endif
429
430 int nThreads = 1;
431
432 #ifdef _OPENMP
433 nThreads = omp_get_max_threads();
434 #endif
435
436 for (int iter = 0; iter < maxIterations; ++iter) {
437
10988083 438 #ifdef _OPENMP
e3f82424 439 #pragma omp parallel default(none) \
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440 shared(gDims,src, dst, w_0, w_1, w_2, omegaEven, omegaOdd, \
441 w_1_x3, w_2_x3, w_1_nine_half, w_2_nine_half, cd, \
442 oX, oY, oZ, nX, nY, nZ, blk, nThreads) \
443 private(ux, uy, uz, ui, dens, dir_indep_trm, \
444 pdf_C, \
445 pdf_N, pdf_E, pdf_S, pdf_W, \
446 pdf_NE, pdf_SE, pdf_SW, pdf_NW, \
447 pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \
448 pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW, \
449 evenPart, oddPart, w_1_indep, w_2_indep)
450 #endif
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451 {
452 X_LIKWID_START("blk-os");
10988083 453
e3f82424 454 int threadId = omp_get_thread_num();
10988083 455
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456 int threadStartX = nX / nThreads * threadId;
457 int threadEndX = nX / nThreads * (threadId + 1);
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458
459 if (nX % nThreads > 0) {
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460 if (nX % nThreads > threadId) {
461 threadStartX += threadId;
462 threadEndX += threadId + 1;
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463 }
464 else {
465 threadStartX += nX % nThreads;
466 threadEndX += nX % nThreads;
467 }
468 }
469
e3f82424 470 for (int bX = oX + threadStartX; bX < threadEndX + oX; bX += blk[0]) {
10988083 471 for (int bY = oY; bY < nY + oY; bY += blk[1]) {
e3f82424 472 for (int bZ = oZ; bZ < nZ + oZ; bZ += blk[2]) {
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473
474 // Must do everything here, else it would break collapse.
475 int eZ = MIN(bZ + blk[2], nZ + oZ);
476 int eY = MIN(bY + blk[1], nY + oY);
477 int eX = MIN(bX + blk[0], threadEndX + oX);
478
e3f82424 479 for (int x = bX; x < eX; ++x) {
10988083 480 for (int y = bY; y < eY; ++y) {
e3f82424 481 for (int z = bZ; z < eZ; ++z) {
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482
483 #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir))
484
485#ifdef PROP_MODEL_PUSH
486
487 // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ...
488 #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[I(x, y, z, idx)];
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489 D3Q19_LIST
490 #undef X
491
492#elif PROP_MODEL_PULL
493
494 // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ...
495 #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[I(x - _x, y - _y, z - _z, idx)];
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496 D3Q19_LIST
497 #undef X
498
499#else
500 #error No implementation for PROP_MODEL_NAME.
501#endif
502
503 // #define LID_DRIVEN_CAVITY
504
505 #ifdef LID_DRIVEN_CAVITY
506
507 if (z == nZ - 4 + oZ && x > 3 + oX && x < (nX - 4 + oX) && y > 3 + oY && y < (nY - 4 + oY)) {
508 ux = 0.1 * 0.577;
509 uy = 0.0;
510 uz = 0.0;
511
512 } else {
513 #endif
514 ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
e3f82424 515 pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW;
10988083 516 uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN -
e3f82424 517 pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS;
10988083 518 uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS -
e3f82424 519 pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS;
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520 #ifdef LID_DRIVEN_CAVITY
521 }
522
523 #endif
524
525 dens = pdf_C +
526 pdf_N + pdf_E + pdf_S + pdf_W +
527 pdf_NE + pdf_SE + pdf_SW + pdf_NW +
528 pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
529 pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
530
531 dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
532
533#ifdef PROP_MODEL_PUSH
534
535 // direction: w_0
536 dst[I(x, y, z, D3Q19_C)] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
537
538 // direction: w_1
539 w_1_indep = w_1*dir_indep_trm;
540
541 ui = uy;
542 evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
543 oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
544 dst[I(x, y + 1, z, D3Q19_N)] = pdf_N - evenPart - oddPart;
545 dst[I(x, y - 1, z, D3Q19_S)] = pdf_S - evenPart + oddPart;
546
547 ui = ux;
548 evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
549 oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
550 dst[I(x + 1, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart;
551 dst[I(x - 1, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart;
552
553 ui = uz;
554 evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
555 oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
556 dst[I(x, y, z + 1, D3Q19_T)] = pdf_T - evenPart - oddPart;
557 dst[I(x, y, z - 1, D3Q19_B)] = pdf_B - evenPart + oddPart;
558
559 // direction: w_2
560 w_2_indep = w_2*dir_indep_trm;
561
562 ui = -ux + uy;
563 evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
564 oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
565 dst[I(x - 1, y + 1, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart;
566 dst[I(x + 1, y - 1, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart;
567
568 ui = ux + uy;
569 evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
570 oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
571 dst[I(x + 1, y + 1, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart;
572 dst[I(x - 1, y - 1, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart;
573
574 ui = -ux + uz;
575 evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
576 oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
577 dst[I(x - 1, y, z + 1, D3Q19_TW)] = pdf_TW - evenPart - oddPart;
578 dst[I(x + 1, y, z - 1, D3Q19_BE)] = pdf_BE - evenPart + oddPart;
579
580 ui = ux + uz;
581 evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
582 oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
583 dst[I(x + 1, y, z + 1, D3Q19_TE)] = pdf_TE - evenPart - oddPart;
584 dst[I(x - 1, y, z - 1, D3Q19_BW)] = pdf_BW - evenPart + oddPart;
585
586 ui = -uy + uz;
587 evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
588 oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
589 dst[I(x, y - 1, z + 1, D3Q19_TS)] = pdf_TS - evenPart - oddPart;
590 dst[I(x, y + 1, z - 1, D3Q19_BN)] = pdf_BN - evenPart + oddPart;
591
592 ui = uy + uz;
593 evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
594 oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
595 dst[I(x, y + 1, z + 1, D3Q19_TN)] = pdf_TN - evenPart - oddPart;
596 dst[I(x, y - 1, z - 1, D3Q19_BS)] = pdf_BS - evenPart + oddPart;
597
598#elif PROP_MODEL_PULL
599
600 // direction: w_0
601 dst[I(x, y, z, D3Q19_C)] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
602
603 // direction: w_1
604 w_1_indep = w_1*dir_indep_trm;
605
606 ui = uy;
607 evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
608 oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
609 dst[I(x, y, z, D3Q19_N)] = pdf_N - evenPart - oddPart;
610 dst[I(x, y, z, D3Q19_S)] = pdf_S - evenPart + oddPart;
611
612 ui = ux;
613 evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
614 oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
615 dst[I(x, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart;
616 dst[I(x, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart;
617
618 ui = uz;
619 evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
620 oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
621 dst[I(x, y, z, D3Q19_T)] = pdf_T - evenPart - oddPart;
622 dst[I(x, y, z, D3Q19_B)] = pdf_B - evenPart + oddPart;
623
624 // direction: w_2
625 w_2_indep = w_2*dir_indep_trm;
626
627 ui = -ux + uy;
628 evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
629 oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
630 dst[I(x, y, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart;
631 dst[I(x, y, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart;
632
633 ui = ux + uy;
634 evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
635 oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
636 dst[I(x, y, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart;
637 dst[I(x, y, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart;
638
639 ui = -ux + uz;
640 evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
641 oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
642 dst[I(x, y, z, D3Q19_TW)] = pdf_TW - evenPart - oddPart;
643 dst[I(x, y, z, D3Q19_BE)] = pdf_BE - evenPart + oddPart;
644
645 ui = ux + uz;
646 evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
647 oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
648 dst[I(x, y, z, D3Q19_TE)] = pdf_TE - evenPart - oddPart;
649 dst[I(x, y, z, D3Q19_BW)] = pdf_BW - evenPart + oddPart;
650
651 ui = -uy + uz;
652 evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
653 oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
654 dst[I(x, y, z, D3Q19_TS)] = pdf_TS - evenPart - oddPart;
655 dst[I(x, y, z, D3Q19_BN)] = pdf_BN - evenPart + oddPart;
656
657 ui = uy + uz;
658 evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
659 oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
660 dst[I(x, y, z, D3Q19_TN)] = pdf_TN - evenPart - oddPart;
661 dst[I(x, y, z, D3Q19_BS)] = pdf_BS - evenPart + oddPart;
662
663#else
664 #error No implementation for PROP_MODEL_NAME.
665#endif
666
667 #undef I
668 }
669 }
670 } // z, y, x (from inner to outer)
671 }
672 }
673 } // z, y, x (from inner to outer)
674
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675 X_LIKWID_STOP("blk-os");
676 } // parallel region
677
678 // Stop counters before bounce back. Else computing loop balance will be incorrect.
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679
680 // Fixup bounce back PDFs.
681 #ifdef _OPENMP
682 #pragma omp parallel for default(none) \
683 shared(kd, dst)
684 #endif
685 for (int i = 0; i < kd->nBounceBackPdfs; ++i) {
686 dst[kd->BounceBackPdfsDst[i]] = dst[kd->BounceBackPdfsSrc[i]];
687 }
688
689 #ifdef VERIFICATION
690 kd->PdfsActive = dst;
691 KernelAddBodyForce(kd, ld, cd);
692 #endif
693
694 #ifdef VTK_OUTPUT
695
696 if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) {
697 kd->PdfsActive = dst;
698 VtkWrite(ld, kd, cd, iter);
699 }
700
701 #endif
702
703 #ifdef STATISTICS
704 kd->PdfsActive = dst;
705 KernelStatistics(kd, ld, cd, iter);
706 #endif
707
708 // swap grids
709 tmp = src;
710 src = dst;
711 dst = tmp;
712
713 } // for (int iter = 0; ...
714
715 #ifdef VTK_OUTPUT
716
717 if (cd->VtkOutput) {
718 kd->PdfsActive = src;
719 VtkWrite(ld, kd, cd, maxIterations);
720 }
721
722 #endif
723
724 return;
725}
726
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