| 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" |
| 31 | #include "LikwidIf.h" |
| 32 | |
| 33 | #include <inttypes.h> |
| 34 | #include <math.h> |
| 35 | |
| 36 | #ifdef _OPENMP |
| 37 | #include <omp.h> |
| 38 | #endif |
| 39 | |
| 40 | void 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 > F(0.0)); |
| 47 | Assert(cd->Omega < F(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*((F(2.0)-omegaEven)/(8.0-omegaEven)); //"standard" trt odd relaxation parameter |
| 65 | PdfT magicParam = F(1.0) / F(12.0); |
| 66 | // 1/ 4: best stability; |
| 67 | // 1/12: removes third-order advection error (best advection); |
| 68 | // 1/ 6: removes fourth-order diffusion error (best diffusion); |
| 69 | // 3/16: exact location of bounce back for poiseuille flow |
| 70 | PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5))); |
| 71 | |
| 72 | PdfT evenPart = F(0.0); |
| 73 | PdfT oddPart = F(0.0); |
| 74 | PdfT dir_indep_trm = F(0.0); |
| 75 | |
| 76 | PdfT w_0 = F(1.0) / F( 3.0); |
| 77 | PdfT w_1 = F(1.0) / F(18.0); |
| 78 | PdfT w_2 = F(1.0) / F(36.0); |
| 79 | |
| 80 | PdfT w_1_x3 = w_1 * F(3.0); PdfT w_1_nine_half = w_1 * F(9.0)/F(2.0); PdfT w_1_indep = F(0.0); |
| 81 | PdfT w_2_x3 = w_2 * F(3.0); PdfT w_2_nine_half = w_2 * F(9.0)/F(2.0); PdfT w_2_indep = F(0.0); |
| 82 | |
| 83 | PdfT ux, uy, uz, ui; |
| 84 | PdfT dens; |
| 85 | |
| 86 | // Declare pdf_N, pdf_E, pdf_S, pdf_W, ... |
| 87 | #define X(name, idx, idxinv, x, y, z) PdfT JOIN(pdf_,name); |
| 88 | D3Q19_LIST |
| 89 | #undef X |
| 90 | |
| 91 | PdfT * src = kd->Pdfs[0]; |
| 92 | PdfT * dst = kd->Pdfs[1]; |
| 93 | PdfT * tmp; |
| 94 | |
| 95 | int maxIterations = cd->MaxIterations; |
| 96 | |
| 97 | #ifdef VTK_OUTPUT |
| 98 | if (cd->VtkOutput) { |
| 99 | kd->PdfsActive = src; |
| 100 | VtkWrite(ld, kd, cd, 0); |
| 101 | } |
| 102 | #endif |
| 103 | |
| 104 | X_KERNEL_START(kernelData); |
| 105 | |
| 106 | for (int iter = 0; iter < maxIterations; ++iter) { |
| 107 | |
| 108 | X_LIKWID_START("os"); |
| 109 | |
| 110 | #ifdef _OPENMP |
| 111 | #pragma omp parallel for collapse(2) default(none) \ |
| 112 | shared(gDims,src, dst, w_0, w_1, w_2, omegaEven, omegaOdd, \ |
| 113 | w_1_x3, w_2_x3, w_1_nine_half, w_2_nine_half, cd, \ |
| 114 | oX, oY, oZ, nX, nY, nZ) \ |
| 115 | private(ux, uy, uz, ui, dens, dir_indep_trm, \ |
| 116 | pdf_C, \ |
| 117 | pdf_N, pdf_E, pdf_S, pdf_W, \ |
| 118 | pdf_NE, pdf_SE, pdf_SW, pdf_NW, \ |
| 119 | pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \ |
| 120 | pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW, \ |
| 121 | evenPart, oddPart, w_1_indep, w_2_indep) |
| 122 | #endif |
| 123 | for (int x = oX; x < nX + oX; ++x) { |
| 124 | for (int y = oY; y < nY + oY; ++y) { |
| 125 | #ifdef INTEL_OPT_DIRECTIVES |
| 126 | #pragma ivdep |
| 127 | #pragma vector always |
| 128 | #pragma simd |
| 129 | #endif |
| 130 | for (int z = oZ; z < nZ + oZ; ++z) { // LOOP os |
| 131 | #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir)) |
| 132 | |
| 133 | #ifdef PROP_MODEL_PUSH |
| 134 | |
| 135 | // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ... |
| 136 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[I(x, y, z, idx)]; |
| 137 | //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);} |
| 138 | D3Q19_LIST |
| 139 | #undef X |
| 140 | |
| 141 | #elif PROP_MODEL_PULL |
| 142 | |
| 143 | // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ... |
| 144 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[I(x - _x, y - _y, z - _z, idx)]; |
| 145 | //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);} |
| 146 | D3Q19_LIST |
| 147 | #undef X |
| 148 | |
| 149 | #else |
| 150 | #error No implementation for PROP_MODEL_NAME. |
| 151 | #endif |
| 152 | |
| 153 | // #define LID_DRIVEN_CAVITY |
| 154 | |
| 155 | #ifdef LID_DRIVEN_CAVITY |
| 156 | |
| 157 | if (z == nZ - 4 + oZ && x > 3 + oX && x < (nX - 4 + oX) && y > 3 + oY && y < (nY - 4 + oY)) { |
| 158 | ux = F(0.1 * 0.577); |
| 159 | uy = F(0.0); |
| 160 | uz = F(0.0); |
| 161 | |
| 162 | } else { |
| 163 | #endif |
| 164 | ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE - |
| 165 | pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW; |
| 166 | uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN - |
| 167 | pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS; |
| 168 | uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS - |
| 169 | pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS; |
| 170 | #ifdef LID_DRIVEN_CAVITY |
| 171 | } |
| 172 | |
| 173 | #endif |
| 174 | |
| 175 | dens = pdf_C + |
| 176 | pdf_N + pdf_E + pdf_S + pdf_W + |
| 177 | pdf_NE + pdf_SE + pdf_SW + pdf_NW + |
| 178 | pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW + |
| 179 | pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW; |
| 180 | |
| 181 | dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * F(3.0) / F(2.0); |
| 182 | |
| 183 | #ifdef PROP_MODEL_PUSH |
| 184 | |
| 185 | // direction: w_0 |
| 186 | dst[I(x, y, z, D3Q19_C)] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm); |
| 187 | |
| 188 | // direction: w_1 |
| 189 | w_1_indep = w_1*dir_indep_trm; |
| 190 | |
| 191 | ui = uy; |
| 192 | evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep ); |
| 193 | oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 ); |
| 194 | dst[I(x, y + 1, z, D3Q19_N)] = pdf_N - evenPart - oddPart; |
| 195 | dst[I(x, y - 1, z, D3Q19_S)] = pdf_S - evenPart + oddPart; |
| 196 | |
| 197 | ui = ux; |
| 198 | evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep ); |
| 199 | oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 ); |
| 200 | dst[I(x + 1, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart; |
| 201 | dst[I(x - 1, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart; |
| 202 | |
| 203 | ui = uz; |
| 204 | evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep ); |
| 205 | oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 ); |
| 206 | dst[I(x, y, z + 1, D3Q19_T)] = pdf_T - evenPart - oddPart; |
| 207 | dst[I(x, y, z - 1, D3Q19_B)] = pdf_B - evenPart + oddPart; |
| 208 | |
| 209 | // direction: w_2 |
| 210 | w_2_indep = w_2*dir_indep_trm; |
| 211 | |
| 212 | ui = -ux + uy; |
| 213 | evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep ); |
| 214 | oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 ); |
| 215 | dst[I(x - 1, y + 1, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart; |
| 216 | dst[I(x + 1, y - 1, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart; |
| 217 | |
| 218 | ui = ux + uy; |
| 219 | evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep ); |
| 220 | oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 ); |
| 221 | dst[I(x + 1, y + 1, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart; |
| 222 | dst[I(x - 1, y - 1, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart; |
| 223 | |
| 224 | ui = -ux + uz; |
| 225 | evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep ); |
| 226 | oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 ); |
| 227 | dst[I(x - 1, y, z + 1, D3Q19_TW)] = pdf_TW - evenPart - oddPart; |
| 228 | dst[I(x + 1, y, z - 1, D3Q19_BE)] = pdf_BE - evenPart + oddPart; |
| 229 | |
| 230 | ui = ux + uz; |
| 231 | evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep ); |
| 232 | oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 ); |
| 233 | dst[I(x + 1, y, z + 1, D3Q19_TE)] = pdf_TE - evenPart - oddPart; |
| 234 | dst[I(x - 1, y, z - 1, D3Q19_BW)] = pdf_BW - evenPart + oddPart; |
| 235 | |
| 236 | ui = -uy + uz; |
| 237 | evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep ); |
| 238 | oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 ); |
| 239 | dst[I(x, y - 1, z + 1, D3Q19_TS)] = pdf_TS - evenPart - oddPart; |
| 240 | dst[I(x, y + 1, z - 1, D3Q19_BN)] = pdf_BN - evenPart + oddPart; |
| 241 | |
| 242 | ui = uy + uz; |
| 243 | evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep ); |
| 244 | oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 ); |
| 245 | dst[I(x, y + 1, z + 1, D3Q19_TN)] = pdf_TN - evenPart - oddPart; |
| 246 | dst[I(x, y - 1, z - 1, D3Q19_BS)] = pdf_BS - evenPart + oddPart; |
| 247 | |
| 248 | #elif PROP_MODEL_PULL |
| 249 | |
| 250 | // direction: w_0 |
| 251 | dst[I(x, y, z, D3Q19_C)] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm); |
| 252 | |
| 253 | // direction: w_1 |
| 254 | w_1_indep = w_1*dir_indep_trm; |
| 255 | |
| 256 | ui = uy; |
| 257 | evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep ); |
| 258 | oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 ); |
| 259 | dst[I(x, y, z, D3Q19_N)] = pdf_N - evenPart - oddPart; |
| 260 | dst[I(x, y, z, D3Q19_S)] = pdf_S - evenPart + oddPart; |
| 261 | |
| 262 | ui = ux; |
| 263 | evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep ); |
| 264 | oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 ); |
| 265 | dst[I(x, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart; |
| 266 | dst[I(x, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart; |
| 267 | |
| 268 | ui = uz; |
| 269 | evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep ); |
| 270 | oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 ); |
| 271 | dst[I(x, y, z, D3Q19_T)] = pdf_T - evenPart - oddPart; |
| 272 | dst[I(x, y, z, D3Q19_B)] = pdf_B - evenPart + oddPart; |
| 273 | |
| 274 | // direction: w_2 |
| 275 | w_2_indep = w_2*dir_indep_trm; |
| 276 | |
| 277 | ui = -ux + uy; |
| 278 | evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep ); |
| 279 | oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 ); |
| 280 | dst[I(x, y, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart; |
| 281 | dst[I(x, y, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart; |
| 282 | |
| 283 | ui = ux + uy; |
| 284 | evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep ); |
| 285 | oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 ); |
| 286 | dst[I(x, y, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart; |
| 287 | dst[I(x, y, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart; |
| 288 | |
| 289 | ui = -ux + uz; |
| 290 | evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep ); |
| 291 | oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 ); |
| 292 | dst[I(x, y, z, D3Q19_TW)] = pdf_TW - evenPart - oddPart; |
| 293 | dst[I(x, y, z, D3Q19_BE)] = pdf_BE - evenPart + oddPart; |
| 294 | |
| 295 | ui = ux + uz; |
| 296 | evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep ); |
| 297 | oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 ); |
| 298 | dst[I(x, y, z, D3Q19_TE)] = pdf_TE - evenPart - oddPart; |
| 299 | dst[I(x, y, z, D3Q19_BW)] = pdf_BW - evenPart + oddPart; |
| 300 | |
| 301 | ui = -uy + uz; |
| 302 | evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep ); |
| 303 | oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 ); |
| 304 | dst[I(x, y, z, D3Q19_TS)] = pdf_TS - evenPart - oddPart; |
| 305 | dst[I(x, y, z, D3Q19_BN)] = pdf_BN - evenPart + oddPart; |
| 306 | |
| 307 | ui = uy + uz; |
| 308 | evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep ); |
| 309 | oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 ); |
| 310 | dst[I(x, y, z, D3Q19_TN)] = pdf_TN - evenPart - oddPart; |
| 311 | dst[I(x, y, z, D3Q19_BS)] = pdf_BS - evenPart + oddPart; |
| 312 | |
| 313 | #else |
| 314 | #error No implementation for PROP_MODEL_NAME. |
| 315 | #endif |
| 316 | |
| 317 | #undef I |
| 318 | } |
| 319 | } |
| 320 | } // z, y, x (from inner to outer) |
| 321 | |
| 322 | // Stop counters before bounce back. Else computing loop balance will be incorrect. |
| 323 | X_LIKWID_STOP("os"); |
| 324 | |
| 325 | |
| 326 | // Fixup bounce back PDFs. |
| 327 | #ifdef _OPENMP |
| 328 | #pragma omp parallel for default(none) \ |
| 329 | shared(kd, dst) |
| 330 | #endif |
| 331 | for (int i = 0; i < kd->nBounceBackPdfs; ++i) { |
| 332 | dst[kd->BounceBackPdfsDst[i]] = dst[kd->BounceBackPdfsSrc[i]]; |
| 333 | } |
| 334 | |
| 335 | #ifdef VERIFICATION |
| 336 | kd->PdfsActive = dst; |
| 337 | KernelAddBodyForce(kd, ld, cd); |
| 338 | #endif |
| 339 | |
| 340 | #ifdef VTK_OUTPUT |
| 341 | |
| 342 | if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) { |
| 343 | kd->PdfsActive = dst; |
| 344 | VtkWrite(ld, kd, cd, iter); |
| 345 | } |
| 346 | |
| 347 | #endif |
| 348 | |
| 349 | #ifdef STATISTICS |
| 350 | kd->PdfsActive = dst; |
| 351 | KernelStatistics(kd, ld, cd, iter); |
| 352 | #endif |
| 353 | |
| 354 | // swap grids |
| 355 | tmp = src; |
| 356 | src = dst; |
| 357 | dst = tmp; |
| 358 | |
| 359 | } // for (int iter = 0; ... |
| 360 | |
| 361 | X_KERNEL_END(kernelData); |
| 362 | |
| 363 | #ifdef VTK_OUTPUT |
| 364 | |
| 365 | if (cd->VtkOutput) { |
| 366 | kd->PdfsActive = src; |
| 367 | VtkWrite(ld, kd, cd, maxIterations); |
| 368 | } |
| 369 | |
| 370 | #endif |
| 371 | |
| 372 | return; |
| 373 | } |
| 374 | |
| 375 | |
| 376 | void FNAME(D3Q19BlkKernel)(LatticeDesc * ld, KernelData * kernelData, CaseData * cd) |
| 377 | { |
| 378 | Assert(ld != NULL); |
| 379 | Assert(kernelData != NULL); |
| 380 | Assert(cd != NULL); |
| 381 | |
| 382 | Assert(cd->Omega > F(0.0)); |
| 383 | Assert(cd->Omega < F(2.0)); |
| 384 | |
| 385 | KernelData * kd = (KernelData *)kernelData; |
| 386 | |
| 387 | |
| 388 | int nX = ld->Dims[0]; |
| 389 | int nY = ld->Dims[1]; |
| 390 | int nZ = ld->Dims[2]; |
| 391 | |
| 392 | int * gDims = kd->GlobalDims; |
| 393 | |
| 394 | int oX = kd->Offsets[0]; |
| 395 | int oY = kd->Offsets[1]; |
| 396 | int oZ = kd->Offsets[2]; |
| 397 | |
| 398 | KernelDataEx * kdex = (KernelDataEx *)kd; |
| 399 | |
| 400 | int blk[3]; |
| 401 | blk[0] = kdex->Blk[0]; |
| 402 | blk[1] = kdex->Blk[1]; |
| 403 | blk[2] = kdex->Blk[2]; |
| 404 | |
| 405 | PdfT omega = cd->Omega; |
| 406 | PdfT omegaEven = omega; |
| 407 | // PdfT omegaOdd = 8.0*((F(2.0)-omegaEven)/(8.0-omegaEven)); //"standard" trt odd relaxation parameter |
| 408 | PdfT magicParam = F(1.0)/F(12.0); |
| 409 | // 1/ 4: best stability; |
| 410 | // 1/12: removes third-order advection error (best advection); |
| 411 | // 1/ 6: removes fourth-order diffusion error (best diffusion); |
| 412 | // 3/16: exact location of bounce back for poiseuille flow |
| 413 | PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5))); |
| 414 | |
| 415 | PdfT evenPart = F(0.0); |
| 416 | PdfT oddPart = F(0.0); |
| 417 | PdfT dir_indep_trm = F(0.0); |
| 418 | |
| 419 | PdfT w_0 = F(1.0) / F( 3.0); |
| 420 | PdfT w_1 = F(1.0) / F(18.0); |
| 421 | PdfT w_2 = F(1.0) / F(36.0); |
| 422 | |
| 423 | PdfT w_1_x3 = w_1 * F(3.0); PdfT w_1_nine_half = w_1 * F(9.0)/F(2.0); PdfT w_1_indep = F(0.0); |
| 424 | PdfT w_2_x3 = w_2 * F(3.0); PdfT w_2_nine_half = w_2 * F(9.0)/F(2.0); PdfT w_2_indep = F(0.0); |
| 425 | |
| 426 | PdfT ux, uy, uz, ui; |
| 427 | PdfT dens; |
| 428 | |
| 429 | // Declare pdf_N, pdf_E, pdf_S, pdf_W, ... |
| 430 | #define X(name, idx, idxinv, x, y, z) PdfT JOIN(pdf_,name); |
| 431 | D3Q19_LIST |
| 432 | #undef X |
| 433 | |
| 434 | PdfT * src = kd->Pdfs[0]; |
| 435 | PdfT * dst = kd->Pdfs[1]; |
| 436 | PdfT * tmp; |
| 437 | |
| 438 | int maxIterations = cd->MaxIterations; |
| 439 | |
| 440 | #ifdef VTK_OUTPUT |
| 441 | if (cd->VtkOutput) { |
| 442 | kd->PdfsActive = src; |
| 443 | VtkWrite(ld, kd, cd, 0); |
| 444 | } |
| 445 | #endif |
| 446 | |
| 447 | int nThreads = 1; |
| 448 | |
| 449 | #ifdef _OPENMP |
| 450 | nThreads = omp_get_max_threads(); |
| 451 | #endif |
| 452 | |
| 453 | X_KERNEL_START(kernelData); |
| 454 | |
| 455 | for (int iter = 0; iter < maxIterations; ++iter) { |
| 456 | |
| 457 | #ifdef _OPENMP |
| 458 | #pragma omp parallel default(none) \ |
| 459 | shared(gDims,src, dst, w_0, w_1, w_2, omegaEven, omegaOdd, \ |
| 460 | w_1_x3, w_2_x3, w_1_nine_half, w_2_nine_half, cd, \ |
| 461 | oX, oY, oZ, nX, nY, nZ, blk, nThreads) \ |
| 462 | private(ux, uy, uz, ui, dens, dir_indep_trm, \ |
| 463 | pdf_C, \ |
| 464 | pdf_N, pdf_E, pdf_S, pdf_W, \ |
| 465 | pdf_NE, pdf_SE, pdf_SW, pdf_NW, \ |
| 466 | pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \ |
| 467 | pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW, \ |
| 468 | evenPart, oddPart, w_1_indep, w_2_indep) |
| 469 | #endif |
| 470 | { |
| 471 | X_LIKWID_START("blk-os"); |
| 472 | |
| 473 | int threadId = omp_get_thread_num(); |
| 474 | |
| 475 | int threadStartX = nX / nThreads * threadId; |
| 476 | int threadEndX = nX / nThreads * (threadId + 1); |
| 477 | |
| 478 | if (nX % nThreads > 0) { |
| 479 | if (nX % nThreads > threadId) { |
| 480 | threadStartX += threadId; |
| 481 | threadEndX += threadId + 1; |
| 482 | } |
| 483 | else { |
| 484 | threadStartX += nX % nThreads; |
| 485 | threadEndX += nX % nThreads; |
| 486 | } |
| 487 | } |
| 488 | |
| 489 | for (int bX = oX + threadStartX; bX < threadEndX + oX; bX += blk[0]) { |
| 490 | for (int bY = oY; bY < nY + oY; bY += blk[1]) { |
| 491 | for (int bZ = oZ; bZ < nZ + oZ; bZ += blk[2]) { |
| 492 | |
| 493 | // Must do everything here, else it would break collapse. |
| 494 | int eZ = MIN(bZ + blk[2], nZ + oZ); |
| 495 | int eY = MIN(bY + blk[1], nY + oY); |
| 496 | int eX = MIN(bX + blk[0], threadEndX + oX); |
| 497 | |
| 498 | for (int x = bX; x < eX; ++x) { |
| 499 | for (int y = bY; y < eY; ++y) { |
| 500 | #ifdef INTEL_OPT_DIRECTIVES |
| 501 | #pragma ivdep |
| 502 | #pragma vector always |
| 503 | #pragma simd |
| 504 | #endif |
| 505 | for (int z = bZ; z < eZ; ++z) { |
| 506 | |
| 507 | #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir)) |
| 508 | |
| 509 | #ifdef PROP_MODEL_PUSH |
| 510 | |
| 511 | // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ... |
| 512 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[I(x, y, z, idx)]; |
| 513 | D3Q19_LIST |
| 514 | #undef X |
| 515 | |
| 516 | #elif PROP_MODEL_PULL |
| 517 | |
| 518 | // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ... |
| 519 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[I(x - _x, y - _y, z - _z, idx)]; |
| 520 | D3Q19_LIST |
| 521 | #undef X |
| 522 | |
| 523 | #else |
| 524 | #error No implementation for PROP_MODEL_NAME. |
| 525 | #endif |
| 526 | |
| 527 | // #define LID_DRIVEN_CAVITY |
| 528 | |
| 529 | #ifdef LID_DRIVEN_CAVITY |
| 530 | |
| 531 | if (z == nZ - 4 + oZ && x > 3 + oX && x < (nX - 4 + oX) && y > 3 + oY && y < (nY - 4 + oY)) { |
| 532 | ux = 0.1 * F(0.5)77; |
| 533 | uy = 0.0; |
| 534 | uz = 0.0; |
| 535 | |
| 536 | } else { |
| 537 | #endif |
| 538 | ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE - |
| 539 | pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW; |
| 540 | uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN - |
| 541 | pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS; |
| 542 | uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS - |
| 543 | pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS; |
| 544 | #ifdef LID_DRIVEN_CAVITY |
| 545 | } |
| 546 | |
| 547 | #endif |
| 548 | |
| 549 | dens = pdf_C + |
| 550 | pdf_N + pdf_E + pdf_S + pdf_W + |
| 551 | pdf_NE + pdf_SE + pdf_SW + pdf_NW + |
| 552 | pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW + |
| 553 | pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW; |
| 554 | |
| 555 | dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * F(3.0) / F(2.0); |
| 556 | |
| 557 | #ifdef PROP_MODEL_PUSH |
| 558 | |
| 559 | // direction: w_0 |
| 560 | dst[I(x, y, z, D3Q19_C)] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm); |
| 561 | |
| 562 | // direction: w_1 |
| 563 | w_1_indep = w_1*dir_indep_trm; |
| 564 | |
| 565 | ui = uy; |
| 566 | evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep ); |
| 567 | oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 ); |
| 568 | dst[I(x, y + 1, z, D3Q19_N)] = pdf_N - evenPart - oddPart; |
| 569 | dst[I(x, y - 1, z, D3Q19_S)] = pdf_S - evenPart + oddPart; |
| 570 | |
| 571 | ui = ux; |
| 572 | evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep ); |
| 573 | oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 ); |
| 574 | dst[I(x + 1, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart; |
| 575 | dst[I(x - 1, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart; |
| 576 | |
| 577 | ui = uz; |
| 578 | evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep ); |
| 579 | oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 ); |
| 580 | dst[I(x, y, z + 1, D3Q19_T)] = pdf_T - evenPart - oddPart; |
| 581 | dst[I(x, y, z - 1, D3Q19_B)] = pdf_B - evenPart + oddPart; |
| 582 | |
| 583 | // direction: w_2 |
| 584 | w_2_indep = w_2*dir_indep_trm; |
| 585 | |
| 586 | ui = -ux + uy; |
| 587 | evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep ); |
| 588 | oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 ); |
| 589 | dst[I(x - 1, y + 1, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart; |
| 590 | dst[I(x + 1, y - 1, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart; |
| 591 | |
| 592 | ui = ux + uy; |
| 593 | evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep ); |
| 594 | oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 ); |
| 595 | dst[I(x + 1, y + 1, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart; |
| 596 | dst[I(x - 1, y - 1, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart; |
| 597 | |
| 598 | ui = -ux + uz; |
| 599 | evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep ); |
| 600 | oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 ); |
| 601 | dst[I(x - 1, y, z + 1, D3Q19_TW)] = pdf_TW - evenPart - oddPart; |
| 602 | dst[I(x + 1, y, z - 1, D3Q19_BE)] = pdf_BE - evenPart + oddPart; |
| 603 | |
| 604 | ui = ux + uz; |
| 605 | evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep ); |
| 606 | oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 ); |
| 607 | dst[I(x + 1, y, z + 1, D3Q19_TE)] = pdf_TE - evenPart - oddPart; |
| 608 | dst[I(x - 1, y, z - 1, D3Q19_BW)] = pdf_BW - evenPart + oddPart; |
| 609 | |
| 610 | ui = -uy + uz; |
| 611 | evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep ); |
| 612 | oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 ); |
| 613 | dst[I(x, y - 1, z + 1, D3Q19_TS)] = pdf_TS - evenPart - oddPart; |
| 614 | dst[I(x, y + 1, z - 1, D3Q19_BN)] = pdf_BN - evenPart + oddPart; |
| 615 | |
| 616 | ui = uy + uz; |
| 617 | evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep ); |
| 618 | oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 ); |
| 619 | dst[I(x, y + 1, z + 1, D3Q19_TN)] = pdf_TN - evenPart - oddPart; |
| 620 | dst[I(x, y - 1, z - 1, D3Q19_BS)] = pdf_BS - evenPart + oddPart; |
| 621 | |
| 622 | #elif PROP_MODEL_PULL |
| 623 | |
| 624 | // direction: w_0 |
| 625 | dst[I(x, y, z, D3Q19_C)] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm); |
| 626 | |
| 627 | // direction: w_1 |
| 628 | w_1_indep = w_1*dir_indep_trm; |
| 629 | |
| 630 | ui = uy; |
| 631 | evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep ); |
| 632 | oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 ); |
| 633 | dst[I(x, y, z, D3Q19_N)] = pdf_N - evenPart - oddPart; |
| 634 | dst[I(x, y, z, D3Q19_S)] = pdf_S - evenPart + oddPart; |
| 635 | |
| 636 | ui = ux; |
| 637 | evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep ); |
| 638 | oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 ); |
| 639 | dst[I(x, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart; |
| 640 | dst[I(x, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart; |
| 641 | |
| 642 | ui = uz; |
| 643 | evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep ); |
| 644 | oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 ); |
| 645 | dst[I(x, y, z, D3Q19_T)] = pdf_T - evenPart - oddPart; |
| 646 | dst[I(x, y, z, D3Q19_B)] = pdf_B - evenPart + oddPart; |
| 647 | |
| 648 | // direction: w_2 |
| 649 | w_2_indep = w_2*dir_indep_trm; |
| 650 | |
| 651 | ui = -ux + uy; |
| 652 | evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep ); |
| 653 | oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 ); |
| 654 | dst[I(x, y, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart; |
| 655 | dst[I(x, y, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart; |
| 656 | |
| 657 | ui = ux + uy; |
| 658 | evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep ); |
| 659 | oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 ); |
| 660 | dst[I(x, y, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart; |
| 661 | dst[I(x, y, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart; |
| 662 | |
| 663 | ui = -ux + uz; |
| 664 | evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep ); |
| 665 | oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 ); |
| 666 | dst[I(x, y, z, D3Q19_TW)] = pdf_TW - evenPart - oddPart; |
| 667 | dst[I(x, y, z, D3Q19_BE)] = pdf_BE - evenPart + oddPart; |
| 668 | |
| 669 | ui = ux + uz; |
| 670 | evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep ); |
| 671 | oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 ); |
| 672 | dst[I(x, y, z, D3Q19_TE)] = pdf_TE - evenPart - oddPart; |
| 673 | dst[I(x, y, z, D3Q19_BW)] = pdf_BW - evenPart + oddPart; |
| 674 | |
| 675 | ui = -uy + uz; |
| 676 | evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep ); |
| 677 | oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 ); |
| 678 | dst[I(x, y, z, D3Q19_TS)] = pdf_TS - evenPart - oddPart; |
| 679 | dst[I(x, y, z, D3Q19_BN)] = pdf_BN - evenPart + oddPart; |
| 680 | |
| 681 | ui = uy + uz; |
| 682 | evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep ); |
| 683 | oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 ); |
| 684 | dst[I(x, y, z, D3Q19_TN)] = pdf_TN - evenPart - oddPart; |
| 685 | dst[I(x, y, z, D3Q19_BS)] = pdf_BS - evenPart + oddPart; |
| 686 | |
| 687 | #else |
| 688 | #error No implementation for PROP_MODEL_NAME. |
| 689 | #endif |
| 690 | |
| 691 | #undef I |
| 692 | } |
| 693 | } |
| 694 | } // z, y, x (from inner to outer) |
| 695 | } |
| 696 | } |
| 697 | } // z, y, x (from inner to outer) |
| 698 | |
| 699 | X_LIKWID_STOP("blk-os"); |
| 700 | } // parallel region |
| 701 | |
| 702 | // Stop counters before bounce back. Else computing loop balance will be incorrect. |
| 703 | |
| 704 | // Fixup bounce back PDFs. |
| 705 | #ifdef _OPENMP |
| 706 | #pragma omp parallel for default(none) \ |
| 707 | shared(kd, dst) |
| 708 | #endif |
| 709 | for (int i = 0; i < kd->nBounceBackPdfs; ++i) { |
| 710 | dst[kd->BounceBackPdfsDst[i]] = dst[kd->BounceBackPdfsSrc[i]]; |
| 711 | } |
| 712 | |
| 713 | #ifdef VERIFICATION |
| 714 | kd->PdfsActive = dst; |
| 715 | KernelAddBodyForce(kd, ld, cd); |
| 716 | #endif |
| 717 | |
| 718 | #ifdef VTK_OUTPUT |
| 719 | |
| 720 | if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) { |
| 721 | kd->PdfsActive = dst; |
| 722 | VtkWrite(ld, kd, cd, iter); |
| 723 | } |
| 724 | |
| 725 | #endif |
| 726 | |
| 727 | #ifdef STATISTICS |
| 728 | kd->PdfsActive = dst; |
| 729 | KernelStatistics(kd, ld, cd, iter); |
| 730 | #endif |
| 731 | |
| 732 | // swap grids |
| 733 | tmp = src; |
| 734 | src = dst; |
| 735 | dst = tmp; |
| 736 | |
| 737 | } // for (int iter = 0; ... |
| 738 | |
| 739 | X_KERNEL_END(kernelData); |
| 740 | |
| 741 | #ifdef VTK_OUTPUT |
| 742 | |
| 743 | if (cd->VtkOutput) { |
| 744 | kd->PdfsActive = src; |
| 745 | VtkWrite(ld, kd, cd, maxIterations); |
| 746 | } |
| 747 | |
| 748 | #endif |
| 749 | |
| 750 | return; |
| 751 | } |
| 752 | |