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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 "BenchKernelD3Q19ListCommon.h" | |
28 | ||
29 | #include "Memory.h" | |
30 | #include "Vtk.h" | |
31 | ||
32 | #include <inttypes.h> | |
33 | #include <math.h> | |
34 | ||
35 | ||
36 | void FNAME(D3Q19ListKernel)(LatticeDesc * ld, KernelData * kernelData, CaseData * cd) | |
37 | { | |
38 | Assert(ld != NULL); | |
39 | Assert(kernelData != NULL); | |
40 | Assert(cd != NULL); | |
41 | ||
42 | Assert(cd->Omega > 0.0); | |
43 | Assert(cd->Omega < 2.0); | |
44 | ||
45 | KernelData * kd = (KernelData *)kernelData; | |
46 | KernelDataList * kdl = (KernelDataList *)kernelData; | |
47 | ||
48 | PdfT omega = cd->Omega; | |
49 | PdfT omegaEven = omega; | |
50 | // PdfT omegaOdd = 8.0*((2.0-omegaEven)/(8.0-omegaEven)); //"standard" trt odd relaxation parameter | |
51 | 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 | |
52 | PdfT omegaOdd = 1.0/( 0.5 + magicParam/(1.0/omega - 0.5) ); | |
53 | ||
54 | PdfT evenPart = 0.0; | |
55 | PdfT oddPart = 0.0; | |
56 | PdfT dir_indep_trm = 0.0; | |
57 | ||
58 | PdfT w_0 = 1.0 / 3.0; | |
59 | PdfT w_1 = 1.0 / 18.0; | |
60 | PdfT w_2 = 1.0 / 36.0; | |
61 | ||
62 | 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; | |
63 | 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; | |
64 | ||
65 | PdfT ux, uy, uz, ui; | |
66 | PdfT dens; | |
67 | ||
68 | // Declare pdf_N, pdf_E, pdf_S, pdf_W, ... | |
69 | #define X(name, idx, idxinv, x, y, z) PdfT JOIN(pdf_,name); | |
70 | D3Q19_LIST | |
71 | #undef X | |
72 | ||
73 | PdfT * src = kd->Pdfs[0]; | |
74 | PdfT * dst = kd->Pdfs[1]; | |
75 | PdfT * tmp; | |
76 | ||
77 | int maxIterations = cd->MaxIterations; | |
78 | int nFluid = kdl->nFluid; | |
79 | int nCells = kdl->nCells; | |
80 | ||
81 | uint32_t adjListIndex; | |
82 | uint32_t * adjList = kdl->AdjList; | |
83 | ||
84 | #ifdef VTK_OUTPUT | |
85 | if (cd->VtkOutput) { | |
86 | kd->PdfsActive = src; | |
87 | VtkWrite(ld, kd, cd, 0); | |
88 | } | |
89 | #endif | |
90 | ||
91 | #ifdef STATISTICS | |
92 | kd->PdfsActive = src; | |
93 | KernelStatistics(kd, ld, cd, 0); | |
94 | #endif | |
95 | ||
96 | // TODO: outer openmp parallel | |
97 | for(int iter = 0; iter < maxIterations; ++iter) { | |
98 | ||
99 | ||
100 | ||
101 | #ifdef _OPENMP | |
102 | #pragma omp parallel for default(none) \ | |
103 | shared(nFluid, nCells, kd, kdl, adjList, 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 | private(ux, uy, uz, ui, dens, dir_indep_trm, adjListIndex, \ | |
106 | pdf_C, \ | |
107 | pdf_N, pdf_E, pdf_S, pdf_W, \ | |
108 | pdf_NE, pdf_SE, pdf_SW, pdf_NW, \ | |
109 | pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \ | |
110 | pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW, \ | |
111 | evenPart, oddPart, w_1_indep, w_2_indep) | |
112 | #endif | |
113 | for (int index = 0; index < nFluid; ++index) { | |
114 | ||
115 | #define I(index, dir) P_INDEX_3((nCells), (index), (dir)) | |
116 | ||
117 | #ifdef PROP_MODEL_PUSH | |
118 | ||
119 | // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ... | |
120 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[I(index, idx)]; | |
121 | D3Q19_LIST | |
122 | #undef X | |
123 | ||
124 | #elif PROP_MODEL_PULL | |
125 | ||
126 | adjListIndex = index * N_D3Q19_IDX; | |
127 | ||
128 | pdf_C = src[P_INDEX_3(nCells, index, D3Q19_C)]; | |
129 | ||
130 | // Load PDFs of local cell: pdf_N = src[adjList[adjListIndex + D3Q19_N]]; ... | |
131 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[adjList[adjListIndex + idx]]; | |
132 | D3Q19_LIST_WO_C | |
133 | #undef X | |
134 | ||
135 | #else | |
136 | #error No implementation for PROP_MODEL_NAME. | |
137 | #endif | |
138 | ||
139 | // #define LID_DRIVEN_CAVITY | |
140 | ||
141 | #ifdef LID_DRIVEN_CAVITY | |
142 | int nX = kd->Dims[0]; | |
143 | int nY = kd->Dims[1]; | |
144 | int nZ = kd->Dims[2]; | |
145 | ||
146 | int x = kdl->Coords[C_INDEX_X(index)]; | |
147 | int y = kdl->Coords[C_INDEX_Y(index)]; | |
148 | int z = kdl->Coords[C_INDEX_Z(index)]; | |
149 | ||
150 | if (z == nZ - 4 && x > 3 && x < (nX - 4) && y > 3 && y < (nY - 4)) { | |
151 | ux = 0.1 * 0.577; | |
152 | uy = 0.0; | |
153 | uz = 0.0; | |
154 | } else { | |
155 | #endif | |
156 | ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE - | |
157 | pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW; | |
158 | uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN - | |
159 | pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS; | |
160 | uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS - | |
161 | pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS; | |
162 | #ifdef LID_DRIVEN_CAVITY | |
163 | } | |
164 | #endif | |
165 | ||
166 | dens = pdf_C + | |
167 | pdf_N + pdf_E + pdf_S + pdf_W + | |
168 | pdf_NE + pdf_SE + pdf_SW + pdf_NW + | |
169 | pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW + | |
170 | pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW; | |
171 | ||
172 | dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0; | |
173 | ||
174 | #ifdef PROP_MODEL_PUSH | |
175 | ||
176 | adjListIndex = index * N_D3Q19_IDX; | |
177 | ||
178 | // direction: w_0 | |
179 | dst[I(index, D3Q19_C) ] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm); | |
180 | ||
181 | // direction: w_1 | |
182 | w_1_indep = w_1*dir_indep_trm; | |
183 | ||
184 | ui = uy; | |
185 | evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep ); | |
186 | oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 ); | |
187 | dst[adjList[adjListIndex + D3Q19_N]] = pdf_N - evenPart - oddPart; | |
188 | dst[adjList[adjListIndex + D3Q19_S]] = pdf_S - evenPart + oddPart; | |
189 | ||
190 | ui = ux; | |
191 | evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep ); | |
192 | oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 ); | |
193 | dst[adjList[adjListIndex + D3Q19_E]] = pdf_E - evenPart - oddPart; | |
194 | dst[adjList[adjListIndex + D3Q19_W]] = pdf_W - evenPart + oddPart; | |
195 | ||
196 | ui = uz; | |
197 | evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep ); | |
198 | oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 ); | |
199 | dst[adjList[adjListIndex + D3Q19_T]] = pdf_T - evenPart - oddPart; | |
200 | dst[adjList[adjListIndex + D3Q19_B]] = pdf_B - evenPart + oddPart; | |
201 | ||
202 | // direction: w_2 | |
203 | w_2_indep = w_2*dir_indep_trm; | |
204 | ||
205 | ui = -ux + uy; | |
206 | evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep ); | |
207 | oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 ); | |
208 | dst[adjList[adjListIndex + D3Q19_NW]] = pdf_NW - evenPart - oddPart; | |
209 | dst[adjList[adjListIndex + D3Q19_SE]] = pdf_SE - evenPart + oddPart; | |
210 | ||
211 | ui = ux + uy; | |
212 | evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep ); | |
213 | oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 ); | |
214 | dst[adjList[adjListIndex + D3Q19_NE]] = pdf_NE - evenPart - oddPart; | |
215 | dst[adjList[adjListIndex + D3Q19_SW]] = pdf_SW - evenPart + oddPart; | |
216 | ||
217 | ui = -ux + uz; | |
218 | evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep ); | |
219 | oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 ); | |
220 | dst[adjList[adjListIndex + D3Q19_TW]] = pdf_TW - evenPart - oddPart; | |
221 | dst[adjList[adjListIndex + D3Q19_BE]] = pdf_BE - evenPart + oddPart; | |
222 | ||
223 | ui = ux + uz; | |
224 | evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep ); | |
225 | oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 ); | |
226 | dst[adjList[adjListIndex + D3Q19_TE]] = pdf_TE - evenPart - oddPart; | |
227 | dst[adjList[adjListIndex + D3Q19_BW]] = pdf_BW - evenPart + oddPart; | |
228 | ||
229 | ui = -uy + uz; | |
230 | evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep ); | |
231 | oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 ); | |
232 | dst[adjList[adjListIndex + D3Q19_TS]] = pdf_TS - evenPart - oddPart; | |
233 | dst[adjList[adjListIndex + D3Q19_BN]] = pdf_BN - evenPart + oddPart; | |
234 | ||
235 | ui = uy + uz; | |
236 | evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep ); | |
237 | oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 ); | |
238 | dst[adjList[adjListIndex + D3Q19_TN]] = pdf_TN - evenPart - oddPart; | |
239 | dst[adjList[adjListIndex + D3Q19_BS]] = pdf_BS - evenPart + oddPart; | |
240 | ||
241 | #elif PROP_MODEL_PULL | |
242 | ||
243 | // direction: w_0 | |
244 | dst[I(index, D3Q19_C )] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm); | |
245 | ||
246 | // direction: w_1 | |
247 | w_1_indep = w_1*dir_indep_trm; | |
248 | ||
249 | ui = uy; | |
250 | evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep ); | |
251 | oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 ); | |
252 | dst[I(index, D3Q19_N )] = pdf_N - evenPart - oddPart; | |
253 | dst[I(index, D3Q19_S )] = pdf_S - evenPart + oddPart; | |
254 | ||
255 | ui = ux; | |
256 | evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep ); | |
257 | oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 ); | |
258 | dst[I(index, D3Q19_E )] = pdf_E - evenPart - oddPart; | |
259 | dst[I(index, D3Q19_W )] = pdf_W - evenPart + oddPart; | |
260 | ||
261 | ui = uz; | |
262 | evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep ); | |
263 | oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 ); | |
264 | dst[I(index, D3Q19_T )] = pdf_T - evenPart - oddPart; | |
265 | dst[I(index, D3Q19_B )] = pdf_B - evenPart + oddPart; | |
266 | ||
267 | // direction: w_2 | |
268 | w_2_indep = w_2*dir_indep_trm; | |
269 | ||
270 | ui = -ux + uy; | |
271 | evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep ); | |
272 | oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 ); | |
273 | dst[I(index, D3Q19_NW)] = pdf_NW - evenPart - oddPart; | |
274 | dst[I(index, D3Q19_SE)] = pdf_SE - evenPart + oddPart; | |
275 | ||
276 | ui = ux + uy; | |
277 | evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep ); | |
278 | oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 ); | |
279 | dst[I(index, D3Q19_NE)] = pdf_NE - evenPart - oddPart; | |
280 | dst[I(index, D3Q19_SW)] = pdf_SW - evenPart + oddPart; | |
281 | ||
282 | ui = -ux + uz; | |
283 | evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep ); | |
284 | oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 ); | |
285 | dst[I(index, D3Q19_TW)] = pdf_TW - evenPart - oddPart; | |
286 | dst[I(index, D3Q19_BE)] = pdf_BE - evenPart + oddPart; | |
287 | ||
288 | ui = ux + uz; | |
289 | evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep ); | |
290 | oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 ); | |
291 | dst[I(index, D3Q19_TE)] = pdf_TE - evenPart - oddPart; | |
292 | dst[I(index, D3Q19_BW)] = pdf_BW - evenPart + oddPart; | |
293 | ||
294 | ui = -uy + uz; | |
295 | evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep ); | |
296 | oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 ); | |
297 | dst[I(index, D3Q19_TS)] = pdf_TS - evenPart - oddPart; | |
298 | dst[I(index, D3Q19_BN)] = pdf_BN - evenPart + oddPart; | |
299 | ||
300 | ui = uy + uz; | |
301 | evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep ); | |
302 | oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 ); | |
303 | dst[I(index, D3Q19_TN)] = pdf_TN - evenPart - oddPart; | |
304 | dst[I(index, D3Q19_BS)] = pdf_BS - evenPart + oddPart; | |
305 | ||
306 | #endif | |
307 | #undef I | |
308 | } // loop over fluid nodes | |
309 | ||
310 | #ifdef VERIFICATION | |
311 | kd->PdfsActive = dst; | |
312 | KernelAddBodyForce(kd, ld, cd); | |
313 | #endif | |
314 | ||
315 | #ifdef VTK_OUTPUT | |
316 | if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) { | |
317 | kd->PdfsActive = dst; | |
318 | VtkWrite(ld, kd, cd, iter); | |
319 | } | |
320 | #endif | |
321 | ||
322 | #ifdef STATISTICS | |
323 | kd->PdfsActive = dst; | |
324 | KernelStatistics(kd, ld, cd, iter); | |
325 | #endif | |
326 | ||
327 | // swap grids | |
328 | tmp = src; | |
329 | src = dst; | |
330 | dst = tmp; | |
331 | ||
332 | } // for (int iter = 0; ... | |
333 | ||
334 | #ifdef VTK_OUTPUT | |
335 | if (cd->VtkOutput) { | |
336 | kd->PdfsActive = src; | |
337 | VtkWrite(ld, kd, cd, maxIterations); | |
338 | } | |
339 | #endif | |
340 | ||
341 | #ifdef STATISTICS | |
342 | kd->PdfsActive = src; | |
343 | KernelStatistics(kd, ld, cd, maxIterations); | |
344 | #endif | |
345 | ||
346 | return; | |
347 | } |