| 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 "Kernel.h" |
| 28 | #include "Lattice.h" |
| 29 | |
| 30 | #include <stdlib.h> |
| 31 | #include <string.h> |
| 32 | #include <math.h> |
| 33 | |
| 34 | #define X(name, idx, idx_inv, x, y, z) , x |
| 35 | int D3Q19_X[] = { |
| 36 | EXPAND(D3Q19_LIST) |
| 37 | }; |
| 38 | #undef X |
| 39 | |
| 40 | #define X(name, idx, idx_inv, x, y, z) , y |
| 41 | int D3Q19_Y[] = { |
| 42 | EXPAND(D3Q19_LIST) |
| 43 | }; |
| 44 | #undef X |
| 45 | |
| 46 | #define X(name, idx, idx_inv, x, y, z) , z |
| 47 | int D3Q19_Z[] = { |
| 48 | EXPAND(D3Q19_LIST) |
| 49 | }; |
| 50 | #undef X |
| 51 | |
| 52 | #define X(name, idx, idxinv, x, y, z) , idxinv |
| 53 | int D3Q19_INV[] = { |
| 54 | EXPAND(D3Q19_LIST) |
| 55 | }; |
| 56 | #undef X |
| 57 | |
| 58 | |
| 59 | #define X(name, idx, idxinv, x, y, z) , STRINGIFY(name) |
| 60 | const char * D3Q19_NAMES[N_D3Q19] = { |
| 61 | EXPAND(D3Q19_LIST) |
| 62 | }; |
| 63 | #undef X |
| 64 | |
| 65 | void KernelComputeBoundaryConditions(KernelData * kd, LatticeDesc * ld, CaseData * cd) |
| 66 | { |
| 67 | Assert(kd != NULL); |
| 68 | Assert(ld != NULL); |
| 69 | Assert(cd != NULL); |
| 70 | |
| 71 | Assert(cd->RhoIn > F(0.0)); |
| 72 | Assert(cd->RhoOut > F(0.0)); |
| 73 | |
| 74 | PdfT rho_in = cd->RhoIn; |
| 75 | PdfT rho_out = cd->RhoOut; |
| 76 | PdfT rho_in_inv = F(1.0) / rho_in; |
| 77 | PdfT rho_out_inv = F(1.0) / rho_out; |
| 78 | PdfT indep_ux = F(0.0); |
| 79 | |
| 80 | PdfT dens; |
| 81 | PdfT ux; |
| 82 | |
| 83 | const PdfT one_third = F(1.0) / F(3.0); |
| 84 | const PdfT one_fourth = F(1.0) / F(4.0); |
| 85 | const PdfT one_sixth = F(1.0) / F(6.0); |
| 86 | |
| 87 | PdfT pdfs[N_D3Q19]; |
| 88 | |
| 89 | int nX = kd->Dims[0]; |
| 90 | int nY = kd->Dims[1]; |
| 91 | int nZ = kd->Dims[2]; |
| 92 | |
| 93 | int x; |
| 94 | int x_in = 0; |
| 95 | int x_out = nX - 1; |
| 96 | |
| 97 | double density_in = 0.0; |
| 98 | double density_out = 0.0; |
| 99 | |
| 100 | // update inlet / outlet boundary conditions |
| 101 | for (int z = 1; z < nZ - 1; ++z) { |
| 102 | for (int y = 1; y < nY - 1; ++y) { |
| 103 | |
| 104 | |
| 105 | // ----------------------------------------------------------------------------- |
| 106 | // update inlet conditions |
| 107 | |
| 108 | if (ld->Lattice[L_INDEX_4(ld->Dims, x_in, y, z)] == LAT_CELL_INLET) { |
| 109 | |
| 110 | x = x_in; |
| 111 | |
| 112 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_C , pdfs + D3Q19_C); |
| 113 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_T , pdfs + D3Q19_T); |
| 114 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_B , pdfs + D3Q19_B); |
| 115 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_S , pdfs + D3Q19_S); |
| 116 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_N , pdfs + D3Q19_N); |
| 117 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_TS, pdfs + D3Q19_TS); |
| 118 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_BS, pdfs + D3Q19_BS); |
| 119 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_TN, pdfs + D3Q19_TN); |
| 120 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_BN, pdfs + D3Q19_BN); |
| 121 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_SW, pdfs + D3Q19_SW); |
| 122 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_TW, pdfs + D3Q19_TW); |
| 123 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_W , pdfs + D3Q19_W); |
| 124 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_BW, pdfs + D3Q19_BW); |
| 125 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_NW, pdfs + D3Q19_NW); |
| 126 | |
| 127 | dens = rho_in; |
| 128 | |
| 129 | ux = F(1.0) - (pdfs[D3Q19_C] + |
| 130 | (pdfs[D3Q19_T] + pdfs[D3Q19_B] + pdfs[D3Q19_S] + pdfs[D3Q19_N]) + |
| 131 | (pdfs[D3Q19_TS] + pdfs[D3Q19_BS] + pdfs[D3Q19_TN] + pdfs[D3Q19_BN]) + |
| 132 | F(2.0) * (pdfs[D3Q19_SW] + pdfs[D3Q19_TW] + pdfs[D3Q19_W] + pdfs[D3Q19_BW] + pdfs[D3Q19_NW])) * rho_in_inv; |
| 133 | |
| 134 | indep_ux = one_sixth * dens * ux; |
| 135 | |
| 136 | pdfs[D3Q19_E ] = pdfs[D3Q19_W] + one_third * dens * ux; |
| 137 | pdfs[D3Q19_NE] = pdfs[D3Q19_SW] - one_fourth * (pdfs[D3Q19_N] - pdfs[D3Q19_S]) + indep_ux; |
| 138 | pdfs[D3Q19_SE] = pdfs[D3Q19_NW] + one_fourth * (pdfs[D3Q19_N] - pdfs[D3Q19_S]) + indep_ux; |
| 139 | pdfs[D3Q19_TE] = pdfs[D3Q19_BW] - one_fourth * (pdfs[D3Q19_T] - pdfs[D3Q19_B]) + indep_ux; |
| 140 | pdfs[D3Q19_BE] = pdfs[D3Q19_TW] + one_fourth * (pdfs[D3Q19_T] - pdfs[D3Q19_B]) + indep_ux; |
| 141 | |
| 142 | |
| 143 | kd->BoundaryConditionsSetPdf(kd, x, y, z, D3Q19_E , pdfs[D3Q19_E ]); |
| 144 | kd->BoundaryConditionsSetPdf(kd, x, y, z, D3Q19_NE, pdfs[D3Q19_NE]); |
| 145 | kd->BoundaryConditionsSetPdf(kd, x, y, z, D3Q19_SE, pdfs[D3Q19_SE]); |
| 146 | kd->BoundaryConditionsSetPdf(kd, x, y, z, D3Q19_TE, pdfs[D3Q19_TE]); |
| 147 | kd->BoundaryConditionsSetPdf(kd, x, y, z, D3Q19_BE, pdfs[D3Q19_BE]); |
| 148 | |
| 149 | for(int d = 0; d < N_D3Q19; ++d) { |
| 150 | density_in += pdfs[d]; |
| 151 | } |
| 152 | } |
| 153 | |
| 154 | // ----------------------------------------------------------------------------- |
| 155 | // update outlet conditions |
| 156 | |
| 157 | if (ld->Lattice[L_INDEX_4(ld->Dims, x_out, y, z)] == LAT_CELL_OUTLET) { |
| 158 | // update outlet conditions |
| 159 | |
| 160 | x = x_out; |
| 161 | |
| 162 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_C , pdfs + D3Q19_C ); |
| 163 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_T , pdfs + D3Q19_T ); |
| 164 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_B , pdfs + D3Q19_B ); |
| 165 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_S , pdfs + D3Q19_S ); |
| 166 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_N , pdfs + D3Q19_N ); |
| 167 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_TS, pdfs + D3Q19_TS); |
| 168 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_BS, pdfs + D3Q19_BS); |
| 169 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_TN, pdfs + D3Q19_TN); |
| 170 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_BN, pdfs + D3Q19_BN); |
| 171 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_NE, pdfs + D3Q19_NE); |
| 172 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_BE, pdfs + D3Q19_BE); |
| 173 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_E , pdfs + D3Q19_E ); |
| 174 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_TE, pdfs + D3Q19_TE); |
| 175 | kd->BoundaryConditionsGetPdf(kd, x, y, z, D3Q19_SE, pdfs + D3Q19_SE); |
| 176 | |
| 177 | dens = rho_out; |
| 178 | |
| 179 | ux = F(-1.0) + (pdfs[D3Q19_C] + |
| 180 | (pdfs[D3Q19_T] + pdfs[D3Q19_B] + pdfs[D3Q19_S] + pdfs[D3Q19_N]) + |
| 181 | (pdfs[D3Q19_TS] + pdfs[D3Q19_BS] + pdfs[D3Q19_TN] + pdfs[D3Q19_BN]) + |
| 182 | F(2.0) * (pdfs[D3Q19_NE] + pdfs[D3Q19_BE] + pdfs[D3Q19_E] + pdfs[D3Q19_TE] + pdfs[D3Q19_SE])) * rho_out_inv; |
| 183 | indep_ux = one_sixth * dens * ux; |
| 184 | |
| 185 | pdfs[D3Q19_W ] = pdfs[D3Q19_E] - one_third * dens * ux; |
| 186 | pdfs[D3Q19_SW] = pdfs[D3Q19_NE] + one_fourth * (pdfs[D3Q19_N] - pdfs[D3Q19_S]) - indep_ux; |
| 187 | pdfs[D3Q19_NW] = pdfs[D3Q19_SE] - one_fourth * (pdfs[D3Q19_N] - pdfs[D3Q19_S]) - indep_ux; |
| 188 | pdfs[D3Q19_BW] = pdfs[D3Q19_TE] + one_fourth * (pdfs[D3Q19_T] - pdfs[D3Q19_B]) - indep_ux; |
| 189 | pdfs[D3Q19_TW] = pdfs[D3Q19_BE] - one_fourth * (pdfs[D3Q19_T] - pdfs[D3Q19_B]) - indep_ux; |
| 190 | |
| 191 | kd->BoundaryConditionsSetPdf(kd, x, y, z, D3Q19_W , pdfs[D3Q19_W ]); |
| 192 | kd->BoundaryConditionsSetPdf(kd, x, y, z, D3Q19_NW, pdfs[D3Q19_NW]); |
| 193 | kd->BoundaryConditionsSetPdf(kd, x, y, z, D3Q19_SW, pdfs[D3Q19_SW]); |
| 194 | kd->BoundaryConditionsSetPdf(kd, x, y, z, D3Q19_TW, pdfs[D3Q19_TW]); |
| 195 | kd->BoundaryConditionsSetPdf(kd, x, y, z, D3Q19_BW, pdfs[D3Q19_BW]); |
| 196 | |
| 197 | for(int d = 0; d < N_D3Q19; ++d) { |
| 198 | density_out += pdfs[d]; |
| 199 | } |
| 200 | } |
| 201 | } |
| 202 | } |
| 203 | |
| 204 | // DEBUG: printf("# density inlet: %e density outlet: %e\n", density_in, density_out); |
| 205 | |
| 206 | } |
| 207 | |
| 208 | |
| 209 | PdfT KernelDensity(KernelData * kd, LatticeDesc * ld) |
| 210 | { |
| 211 | Assert(kd != NULL); |
| 212 | Assert(ld != NULL); |
| 213 | |
| 214 | Assert(ld->Lattice != NULL); |
| 215 | Assert(ld->Dims != NULL); |
| 216 | |
| 217 | Assert(ld->Dims[0] > 0); |
| 218 | Assert(ld->Dims[1] > 0); |
| 219 | Assert(ld->Dims[2] > 0); |
| 220 | |
| 221 | int * lDims = ld->Dims; |
| 222 | int nX = lDims[0]; |
| 223 | int nY = lDims[1]; |
| 224 | int nZ = lDims[2]; |
| 225 | |
| 226 | PdfT pdfs[N_D3Q19] = { -1.0 }; |
| 227 | PdfT density = 0.0; |
| 228 | |
| 229 | for(int z = 0; z < nZ; ++z) { |
| 230 | for(int y = 0; y < nY; ++y) { |
| 231 | for(int x = 0; x < nX; ++x) { |
| 232 | |
| 233 | if(ld->Lattice[L_INDEX_4(lDims, x, y, z)] != LAT_CELL_OBSTACLE) { |
| 234 | |
| 235 | kd->GetNode(kd, x, y, z, pdfs); |
| 236 | |
| 237 | PdfT localDensity = F(0.0); |
| 238 | |
| 239 | for(int d = 0; d < N_D3Q19; ++d) { |
| 240 | // if (pdfs[d] < 0.0) { |
| 241 | // printf("# %d %d %d %d < 0 %e %s\n", x, y, z, d, pdfs[d], D3Q19_NAMES[d]); |
| 242 | // exit(1); |
| 243 | // } |
| 244 | localDensity += pdfs[d]; |
| 245 | } |
| 246 | density += localDensity; |
| 247 | } |
| 248 | |
| 249 | } |
| 250 | } |
| 251 | } |
| 252 | |
| 253 | return density / ld->nFluid; |
| 254 | } |
| 255 | |
| 256 | |
| 257 | // prescribes a given density |
| 258 | void KernelSetInitialDensity(LatticeDesc * ld, KernelData * kd, CaseData * cd) |
| 259 | { |
| 260 | int * lDims = ld->Dims; |
| 261 | |
| 262 | PdfT rho_in = cd->RhoIn; |
| 263 | PdfT rho_out = cd->RhoOut; |
| 264 | |
| 265 | PdfT ux = F(0.0); |
| 266 | PdfT uy = F(0.0); |
| 267 | PdfT uz = F(0.0); |
| 268 | PdfT dens = F(1.0); |
| 269 | |
| 270 | PdfT omega = cd->Omega; |
| 271 | |
| 272 | PdfT w_0 = F(1.0) / F( 3.0); |
| 273 | PdfT w_1 = F(1.0) / F(18.0); |
| 274 | PdfT w_2 = F(1.0) / F(36.0); |
| 275 | |
| 276 | PdfT dir_indep_trm; |
| 277 | PdfT omega_w0 = F(3.0) * w_0 * omega; |
| 278 | PdfT omega_w1 = F(3.0) * w_1 * omega; |
| 279 | PdfT omega_w2 = F(3.0) * w_2 * omega; |
| 280 | PdfT one_third = F(1.0) / F(3.0); |
| 281 | |
| 282 | int nX = lDims[0]; |
| 283 | int nY = lDims[1]; |
| 284 | int nZ = lDims[2]; |
| 285 | |
| 286 | PdfT pdfs[N_D3Q19]; |
| 287 | |
| 288 | #ifdef _OPENMP |
| 289 | #pragma omp parallel for collapse(3) |
| 290 | #endif |
| 291 | for(int z = 0; z < nZ; ++z) { for(int y = 0; y < nY; ++y) { for(int x = 0; x < nX; ++x) { |
| 292 | |
| 293 | if (ld->Lattice[L_INDEX_4(ld->Dims, x, y, z)] != LAT_CELL_OBSTACLE) { |
| 294 | // TODO: fix later. |
| 295 | // if((caseData->geoType == GEO_TYPE_CHANNEL) || (caseData->geoType == GEO_TYPE_RCHANNEL)) |
| 296 | dens = rho_in + (rho_out - rho_in) * (x) / (nX - F(1.0)); |
| 297 | |
| 298 | #define SQR(a) ((a)*(a)) |
| 299 | |
| 300 | dir_indep_trm = one_third * dens - F(0.5) * (ux * ux + uy * uy + uz * uz); |
| 301 | |
| 302 | pdfs[D3Q19_C] = omega_w0 * (dir_indep_trm); |
| 303 | |
| 304 | pdfs[D3Q19_NW] = omega_w2 * (dir_indep_trm - (ux - uy) + F(1.5) * SQR(ux - uy)); |
| 305 | pdfs[D3Q19_SE] = omega_w2 * (dir_indep_trm + (ux - uy) + F(1.5) * SQR(ux - uy)); |
| 306 | |
| 307 | pdfs[D3Q19_NE] = omega_w2 * (dir_indep_trm + (ux + uy) + F(1.5) * SQR(ux + uy)); |
| 308 | pdfs[D3Q19_SW] = omega_w2 * (dir_indep_trm - (ux + uy) + F(1.5) * SQR(ux + uy)); |
| 309 | |
| 310 | |
| 311 | pdfs[D3Q19_TW] = omega_w2 * (dir_indep_trm - (ux - uz) + F(1.5) * SQR(ux - uz)); |
| 312 | pdfs[D3Q19_BE] = omega_w2 * (dir_indep_trm + (ux - uz) + F(1.5) * SQR(ux - uz)); |
| 313 | |
| 314 | pdfs[D3Q19_TE] = omega_w2 * (dir_indep_trm + (ux + uz) + F(1.5) * SQR(ux + uz)); |
| 315 | pdfs[D3Q19_BW] = omega_w2 * (dir_indep_trm - (ux + uz) + F(1.5) * SQR(ux + uz)); |
| 316 | |
| 317 | |
| 318 | pdfs[D3Q19_TS] = omega_w2 * (dir_indep_trm - (uy - uz) + F(1.5) * SQR(uy - uz)); |
| 319 | pdfs[D3Q19_BN] = omega_w2 * (dir_indep_trm + (uy - uz) + F(1.5) * SQR(uy - uz)); |
| 320 | |
| 321 | pdfs[D3Q19_TN] = omega_w2 * (dir_indep_trm + (uy + uz) + F(1.5) * SQR(uy + uz)); |
| 322 | pdfs[D3Q19_BS] = omega_w2 * (dir_indep_trm - (uy + uz) + F(1.5) * SQR(uy + uz)); |
| 323 | |
| 324 | |
| 325 | pdfs[D3Q19_N] = omega_w1 * (dir_indep_trm + uy + F(1.5) * SQR(uy)); |
| 326 | pdfs[D3Q19_S] = omega_w1 * (dir_indep_trm - uy + F(1.5) * SQR(uy)); |
| 327 | |
| 328 | pdfs[D3Q19_E] = omega_w1 * (dir_indep_trm + ux + F(1.5) * SQR(ux)); |
| 329 | pdfs[D3Q19_W] = omega_w1 * (dir_indep_trm - ux + F(1.5) * SQR(ux)); |
| 330 | |
| 331 | pdfs[D3Q19_T] = omega_w1 * (dir_indep_trm + uz + F(1.5) * SQR(uz)); |
| 332 | pdfs[D3Q19_B] = omega_w1 * (dir_indep_trm - uz + F(1.5) * SQR(uz)); |
| 333 | |
| 334 | |
| 335 | kd->SetNode(kd, x, y, z, pdfs); |
| 336 | |
| 337 | #undef SQR |
| 338 | } |
| 339 | } } } |
| 340 | } |
| 341 | |
| 342 | |
| 343 | // prescribes a given velocity |
| 344 | void KernelSetInitialVelocity(LatticeDesc * ld, KernelData * kd, CaseData * cd) |
| 345 | { |
| 346 | |
| 347 | int * lDims = ld->Dims; |
| 348 | |
| 349 | // TODO: fix ux is overriden below |
| 350 | PdfT ux = F(0.0); |
| 351 | PdfT uy = F(0.0); |
| 352 | PdfT uz = F(0.0); |
| 353 | PdfT dens = F(1.0); |
| 354 | |
| 355 | PdfT omega = cd->Omega; |
| 356 | |
| 357 | PdfT w_0 = F(1.0) / F( 3.0); |
| 358 | PdfT w_1 = F(1.0) / F(18.0); |
| 359 | PdfT w_2 = F(1.0) / F(36.0); |
| 360 | |
| 361 | PdfT dir_indep_trm; |
| 362 | PdfT omega_w0 = F(3.0) * w_0 * omega; |
| 363 | PdfT omega_w1 = F(3.0) * w_1 * omega; |
| 364 | PdfT omega_w2 = F(3.0) * w_2 * omega; |
| 365 | PdfT one_third = F(1.0) / F(3.0); |
| 366 | |
| 367 | int nX = lDims[0]; |
| 368 | int nY = lDims[1]; |
| 369 | int nZ = lDims[2]; |
| 370 | |
| 371 | PdfT pdfs[N_D3Q19]; |
| 372 | |
| 373 | PdfT density; |
| 374 | |
| 375 | #ifdef _OPENMP |
| 376 | #pragma omp parallel for collapse(3) |
| 377 | #endif |
| 378 | for(int z = 0; z < nZ; ++z) { for(int y = 0; y < nY; ++y) { for(int x = 0; x < nX; ++x) { |
| 379 | |
| 380 | if (ld->Lattice[L_INDEX_4(ld->Dims, x, y, z)] == LAT_CELL_FLUID) { |
| 381 | |
| 382 | ux = F(0.0); |
| 383 | uy = F(0.0); |
| 384 | uz = F(0.0); |
| 385 | |
| 386 | kd->GetNode(kd, x, y, z, pdfs); |
| 387 | |
| 388 | |
| 389 | density = F(0.0); |
| 390 | |
| 391 | #define X(name, idx, idxinv, _x, _y, _z) density += pdfs[idx]; |
| 392 | D3Q19_LIST |
| 393 | #undef X |
| 394 | |
| 395 | |
| 396 | #define SQR(a) ((a)*(a)) |
| 397 | dir_indep_trm = one_third * dens - F(0.5) * (ux * ux + uy * uy + uz * uz); |
| 398 | |
| 399 | pdfs[D3Q19_C] = omega_w0 * (dir_indep_trm); |
| 400 | |
| 401 | pdfs[D3Q19_NW] = omega_w2 * (dir_indep_trm - (ux - uy) + F(1.5) * SQR(ux - uy)); |
| 402 | pdfs[D3Q19_SE] = omega_w2 * (dir_indep_trm + (ux - uy) + F(1.5) * SQR(ux - uy)); |
| 403 | |
| 404 | pdfs[D3Q19_NE] = omega_w2 * (dir_indep_trm + (ux + uy) + F(1.5) * SQR(ux + uy)); |
| 405 | pdfs[D3Q19_SW] = omega_w2 * (dir_indep_trm - (ux + uy) + F(1.5) * SQR(ux + uy)); |
| 406 | |
| 407 | |
| 408 | pdfs[D3Q19_TW] = omega_w2 * (dir_indep_trm - (ux - uz) + F(1.5) * SQR(ux - uz)); |
| 409 | pdfs[D3Q19_BE] = omega_w2 * (dir_indep_trm + (ux - uz) + F(1.5) * SQR(ux - uz)); |
| 410 | |
| 411 | pdfs[D3Q19_TE] = omega_w2 * (dir_indep_trm + (ux + uz) + F(1.5) * SQR(ux + uz)); |
| 412 | pdfs[D3Q19_BW] = omega_w2 * (dir_indep_trm - (ux + uz) + F(1.5) * SQR(ux + uz)); |
| 413 | |
| 414 | |
| 415 | pdfs[D3Q19_TS] = omega_w2 * (dir_indep_trm - (uy - uz) + F(1.5) * SQR(uy - uz)); |
| 416 | pdfs[D3Q19_BN] = omega_w2 * (dir_indep_trm + (uy - uz) + F(1.5) * SQR(uy - uz)); |
| 417 | |
| 418 | pdfs[D3Q19_TN] = omega_w2 * (dir_indep_trm + (uy + uz) + F(1.5) * SQR(uy + uz)); |
| 419 | pdfs[D3Q19_BS] = omega_w2 * (dir_indep_trm - (uy + uz) + F(1.5) * SQR(uy + uz)); |
| 420 | |
| 421 | |
| 422 | pdfs[D3Q19_N] = omega_w1 * (dir_indep_trm + uy + F(1.5) * SQR(uy)); |
| 423 | pdfs[D3Q19_S] = omega_w1 * (dir_indep_trm - uy + F(1.5) * SQR(uy)); |
| 424 | |
| 425 | pdfs[D3Q19_E] = omega_w1 * (dir_indep_trm + ux + F(1.5) * SQR(ux)); |
| 426 | pdfs[D3Q19_W] = omega_w1 * (dir_indep_trm - ux + F(1.5) * SQR(ux)); |
| 427 | |
| 428 | pdfs[D3Q19_T] = omega_w1 * (dir_indep_trm + uz + F(1.5) * SQR(uz)); |
| 429 | pdfs[D3Q19_B] = omega_w1 * (dir_indep_trm - uz + F(1.5) * SQR(uz)); |
| 430 | |
| 431 | #undef SQR |
| 432 | |
| 433 | |
| 434 | kd->SetNode(kd, x, y, z, pdfs); |
| 435 | } |
| 436 | } } } |
| 437 | |
| 438 | } |
| 439 | |
| 440 | // Compute analytical x velocity for channel flow. |
| 441 | // |
| 442 | // Formula 7 from Kutay et al. "Laboratory validation of lattice Boltzmann method for modeling |
| 443 | // pore-scale flow in granular materials", doi:10.1016/j.compgeo.2006.08.002. |
| 444 | // |
| 445 | // also formula 10 from |
| 446 | // Pan et al. "An evaluation of lattice Boltzmann equation methods for simulating flow |
| 447 | // through porous media", doi:10.1016/S0167-5648(04)80040-6. |
| 448 | // |
| 449 | // calculate velocity in a pipe for a given radius |
| 450 | // |
| 451 | static PdfT CalcXVelForPipeProfile(PdfT maxRadiusSquared, PdfT curRadiusSquared, PdfT xForce, PdfT viscosity) |
| 452 | { |
| 453 | return xForce * (maxRadiusSquared - curRadiusSquared) / (F(2.0) * viscosity); |
| 454 | } |
| 455 | |
| 456 | static void KernelGetXSlice(LatticeDesc * ld, KernelData * kd, CaseData * cd, PdfT * outputArray, int xPos) |
| 457 | { |
| 458 | Assert(ld != NULL); |
| 459 | Assert(kd != NULL); |
| 460 | |
| 461 | int nY = ld->Dims[1]; |
| 462 | int nZ = ld->Dims[2]; |
| 463 | |
| 464 | Assert(xPos >= 0); |
| 465 | Assert(xPos < ld->Dims[0]); |
| 466 | |
| 467 | |
| 468 | PdfT ux = F(0.0); |
| 469 | |
| 470 | // Declare pdf_N, pdf_E, pdf_S, pdf_W, ... |
| 471 | #define X(name, idx, idxinv, x, y, z) PdfT JOIN(pdf_,name); |
| 472 | D3Q19_LIST |
| 473 | #undef X |
| 474 | PdfT pdfs[N_D3Q19]; |
| 475 | |
| 476 | for(int z = 0; z < nZ; ++z) { |
| 477 | for(int y = 0; y < nY; ++y) { |
| 478 | |
| 479 | if (ld->Lattice[L_INDEX_4(ld->Dims, xPos, y, z)] != LAT_CELL_OBSTACLE) { |
| 480 | kd->GetNode(kd, xPos, y, z, pdfs); |
| 481 | |
| 482 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = pdfs[idx]; |
| 483 | D3Q19_LIST |
| 484 | #undef X |
| 485 | UNUSED(pdf_C); UNUSED(pdf_S); UNUSED(pdf_N); UNUSED(pdf_T); UNUSED(pdf_B); |
| 486 | UNUSED(pdf_TN); UNUSED(pdf_BN); UNUSED(pdf_TS); UNUSED(pdf_BS); |
| 487 | |
| 488 | ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE - |
| 489 | pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW; |
| 490 | |
| 491 | #ifdef VERIFICATION |
| 492 | ux += F(0.5) * cd->XForce; |
| 493 | #endif |
| 494 | |
| 495 | outputArray[y * nZ + z] = ux; |
| 496 | } |
| 497 | else { |
| 498 | outputArray[y * nZ + z] = F(0.0); |
| 499 | } |
| 500 | } |
| 501 | } |
| 502 | |
| 503 | } |
| 504 | |
| 505 | // Verification of channel profile with analytical solution. |
| 506 | // Taken from Kutay et al. "Laboratory validation of lattice Boltzmann method for modeling |
| 507 | // pore-scale flow in granular materials", doi:10.1016/j.compgeo.2006.08.002. and |
| 508 | // Pan et al. "An evaluation of lattice Boltzmann equation methods for simulating flow |
| 509 | // through porous media", doi:10.1016/S0167-5648(04)80040-6 |
| 510 | // |
| 511 | void KernelVerifiy(LatticeDesc * ld, KernelData * kd, CaseData * cd, PdfT * errorNorm) |
| 512 | { |
| 513 | Assert(ld != NULL); |
| 514 | Assert(kd != NULL); |
| 515 | Assert(cd != NULL); |
| 516 | Assert(errorNorm != NULL); |
| 517 | |
| 518 | int nX = ld->Dims[0]; |
| 519 | int nY = ld->Dims[1]; |
| 520 | int nZ = ld->Dims[2]; |
| 521 | |
| 522 | PdfT omega = cd->Omega; |
| 523 | PdfT viscosity = (F(1.0) / omega - F(0.5)) / F(3.0); |
| 524 | |
| 525 | // ux averaged across cross sections in x direction |
| 526 | PdfT * outputArray = (PdfT *)malloc(nZ * nY * sizeof(PdfT)); |
| 527 | Verify(outputArray != NULL); |
| 528 | |
| 529 | memset(outputArray, -10, nZ*nY*sizeof(PdfT)); |
| 530 | |
| 531 | // uncomment this to get values averaged along the x-axis |
| 532 | //AveragePipeCrossSections(ld, kd, outputArray); |
| 533 | KernelGetXSlice(ld, kd, cd, outputArray, (int)(nX/2)); |
| 534 | |
| 535 | |
| 536 | FILE * fh; |
| 537 | char fileName[1024]; |
| 538 | PdfT tmpAvgUx = F(0.0); |
| 539 | PdfT tmpAnalyUx = F(0.0); |
| 540 | int flagEvenNy = 0; |
| 541 | int y = 0; |
| 542 | |
| 543 | if (nY % 2 == 0) |
| 544 | flagEvenNy = 1; |
| 545 | |
| 546 | y = (nY - flagEvenNy - 1) / 2; |
| 547 | |
| 548 | snprintf(fileName, sizeof(fileName), "flow-profile.dat"); |
| 549 | |
| 550 | printf("# Kernel validation: writing profile to %s\n", fileName); |
| 551 | |
| 552 | fh = fopen(fileName, "w"); |
| 553 | |
| 554 | if(fh == NULL) { |
| 555 | printf("ERROR: opening file %s failed.\n", fileName); |
| 556 | exit(1); |
| 557 | } |
| 558 | |
| 559 | fprintf(fh, "# Flow profile in Z direction. Taken at the middle of the X length (= %d) of total length %d.\n", nZ / 2, nZ); |
| 560 | // fprintf(fh, "# Snapshot taken at iteration %d.\n", iteration); |
| 561 | fprintf(fh, "# Plot on terminal: gnuplot -e \"set terminal dumb; plot \\\"%s\\\" u 1:3 t \\\"analytical\\\", \\\"\\\" u 1:4 t \\\"simulation\\\";\"\n", fileName); |
| 562 | fprintf(fh, "# Plot graphically: gnuplot -e \"plot \\\"%s\\\" u 1:3 w linesp t \\\"analytical\\\", \\\"\\\" u 1:4 w linesp t \\\"simulation\\\"; pause -1;\"\n", fileName); |
| 563 | fprintf(fh, "# z coord., radius, analytic, simulation, diff abs, diff rel, undim_analytic, undim_sim\n"); |
| 564 | |
| 565 | PdfT deviation = F(0.0); |
| 566 | PdfT curRadiusSquared; |
| 567 | PdfT center = nY / F(2.0); |
| 568 | PdfT minDiameter = (PdfT)nY; |
| 569 | #define SQR(a) ((a)*(a)) |
| 570 | PdfT minRadiusSquared = SQR(minDiameter / F(2.0) - F(1.0)); |
| 571 | #undef SQR |
| 572 | PdfT u_max = cd->XForce*minRadiusSquared / (F(2.0) * viscosity); |
| 573 | |
| 574 | for(int z = 0; z < nZ; ++z) { |
| 575 | |
| 576 | fprintf(fh, "%d\t", z); |
| 577 | |
| 578 | #define SQR(a) ((a)*(a)) |
| 579 | curRadiusSquared = SQR(z - center + F(0.5)); |
| 580 | |
| 581 | |
| 582 | // dimensionless radius |
| 583 | fprintf(fh, "%e\t", (z - center + F(0.5)) / center); |
| 584 | |
| 585 | // analytic profile |
| 586 | if(curRadiusSquared >= minRadiusSquared) |
| 587 | tmpAnalyUx = F(0.0); |
| 588 | else |
| 589 | tmpAnalyUx = CalcXVelForPipeProfile(minRadiusSquared, curRadiusSquared, cd->XForce, viscosity); |
| 590 | |
| 591 | //averaged profile |
| 592 | if(flagEvenNy == 1) |
| 593 | tmpAvgUx = (outputArray[y * nZ + z] + outputArray[(y + 1) * nZ + z]) / F(2.0); |
| 594 | else |
| 595 | tmpAvgUx = outputArray[y * nZ + z]; |
| 596 | |
| 597 | fprintf(fh, "%e\t", tmpAnalyUx); |
| 598 | fprintf(fh, "%e\t", tmpAvgUx); |
| 599 | |
| 600 | fprintf(fh, "%e\t", fabs(tmpAnalyUx-tmpAvgUx)); |
| 601 | if (tmpAnalyUx != 0.0) { |
| 602 | fprintf(fh, "%e\t", fabs(tmpAnalyUx - tmpAvgUx) / tmpAnalyUx); |
| 603 | deviation += SQR((PdfT)fabs(tmpAnalyUx - tmpAvgUx) / tmpAnalyUx); |
| 604 | } |
| 605 | else { |
| 606 | fprintf(fh, "0.0\t"); |
| 607 | } |
| 608 | |
| 609 | fprintf(fh, "%e\t", tmpAnalyUx / u_max); |
| 610 | fprintf(fh, "%e\t", tmpAvgUx / u_max); |
| 611 | fprintf(fh, "\n"); |
| 612 | |
| 613 | #undef SQR |
| 614 | } |
| 615 | |
| 616 | *errorNorm = (PdfT)sqrt(deviation); |
| 617 | |
| 618 | printf("# Kernel validation: L2 error norm of relative error: %e\n", *errorNorm); |
| 619 | |
| 620 | |
| 621 | fclose(fh); |
| 622 | free(outputArray); |
| 623 | |
| 624 | |
| 625 | } |
| 626 | |
| 627 | |
| 628 | void KernelStatistics(KernelData * kd, LatticeDesc * ld, CaseData * cd, int iteration) |
| 629 | { |
| 630 | KernelStatisticsAdv(kd, ld, cd, iteration, 0); |
| 631 | } |
| 632 | |
| 633 | void KernelStatisticsAdv(KernelData * kd, LatticeDesc * ld, CaseData * cd, int iteration, int forceOutput) |
| 634 | { |
| 635 | if (iteration % cd->StatisticsModulus == 0 || forceOutput) { |
| 636 | printf("# iter: %4d avg density: %e\n", iteration, KernelDensity(kd, ld)); |
| 637 | } |
| 638 | |
| 639 | if (iteration % 10 != 0 && !forceOutput) { |
| 640 | return; |
| 641 | } |
| 642 | |
| 643 | int nX = ld->Dims[0]; |
| 644 | int nY = ld->Dims[1]; |
| 645 | int nZ = ld->Dims[2]; |
| 646 | |
| 647 | int x = nX / 2; |
| 648 | |
| 649 | PdfT pdfs[N_D3Q19]; |
| 650 | |
| 651 | // ---------------------------------------------------------------------- |
| 652 | // velocity in x-direction in cross section appended for each iteration |
| 653 | |
| 654 | double density; |
| 655 | double densitySum; |
| 656 | double ux; |
| 657 | double uxSum = 0.0; |
| 658 | int nFluidNodes = 0; |
| 659 | |
| 660 | for (int y = 0; y < nY; ++y) { |
| 661 | for (int z = 0; z < nZ; ++z) { |
| 662 | |
| 663 | if (ld->Lattice[L_INDEX_4(ld->Dims, x, y, z)] != LAT_CELL_OBSTACLE) { |
| 664 | kd->GetNode(kd, x, y, z, pdfs); |
| 665 | |
| 666 | ux = pdfs[D3Q19_E] + pdfs[D3Q19_NE] + pdfs[D3Q19_SE] + pdfs[D3Q19_TE] + pdfs[D3Q19_BE] - |
| 667 | pdfs[D3Q19_W] - pdfs[D3Q19_NW] - pdfs[D3Q19_SW] - pdfs[D3Q19_TW] - pdfs[D3Q19_BW]; |
| 668 | |
| 669 | uxSum += ux; |
| 670 | ++nFluidNodes; |
| 671 | } |
| 672 | } |
| 673 | } |
| 674 | |
| 675 | const char * mode = "w"; |
| 676 | |
| 677 | if (iteration > 0) { |
| 678 | mode = "a"; |
| 679 | } |
| 680 | |
| 681 | const char * fileName = "ux-progress.dat"; |
| 682 | FILE * fh; |
| 683 | |
| 684 | fh = fopen(fileName, mode); |
| 685 | |
| 686 | if(fh == NULL) { |
| 687 | printf("ERROR: opening file %s failed.\n", fileName); |
| 688 | exit(1); |
| 689 | } |
| 690 | |
| 691 | if (iteration == 0) { |
| 692 | fprintf(fh, "# Average velocity in x direction of cross section in the middle (x = %d) of the geometry (NX = %d).\n", x, nX); |
| 693 | fprintf(fh, "# Plot on terminal: gnuplot -e \"set terminal dumb; plot \\\"%s\\\";\"\n", fileName); |
| 694 | fprintf(fh, "# iteration, avg ux\n"); |
| 695 | } |
| 696 | |
| 697 | fprintf(fh, "%d %e\n", iteration, uxSum / nFluidNodes); |
| 698 | |
| 699 | fclose(fh); |
| 700 | |
| 701 | // ---------------------------------------------------------------------- |
| 702 | // average velocity/density for each in cross section in x direction |
| 703 | |
| 704 | fileName = "density-ux.dat"; |
| 705 | |
| 706 | fh = fopen(fileName, "w"); |
| 707 | |
| 708 | if(fh == NULL) { |
| 709 | printf("ERROR: opening file %s failed.\n", fileName); |
| 710 | exit(1); |
| 711 | } |
| 712 | |
| 713 | fprintf(fh, "# Average density and average x velocity over each cross section in x direction. Snapshot taken at iteration %d.\n", iteration); |
| 714 | fprintf(fh, "# Plot on terminal: gnuplot -e \"set terminal dumb; plot \\\"%s\\\" u 1:2; plot \\\"%s\\\" u 1:3;\"\n", fileName, fileName); |
| 715 | fprintf(fh, "# x, avg density, avg ux\n"); |
| 716 | |
| 717 | for (x = 0; x < nX; ++x) { |
| 718 | |
| 719 | uxSum = F(0.0); |
| 720 | densitySum = F(0.0); |
| 721 | nFluidNodes = 0; |
| 722 | |
| 723 | for (int y = 0; y < nY; ++y) { |
| 724 | for (int z = 0; z < nZ; ++z) { |
| 725 | |
| 726 | if (ld->Lattice[L_INDEX_4(ld->Dims, x, y, z)] == LAT_CELL_OBSTACLE) { |
| 727 | continue; |
| 728 | } |
| 729 | |
| 730 | kd->GetNode(kd, x, y, z, pdfs); |
| 731 | |
| 732 | density = |
| 733 | pdfs[D3Q19_C] + |
| 734 | pdfs[D3Q19_N] + pdfs[D3Q19_E] + pdfs[D3Q19_S] + pdfs[D3Q19_W] + |
| 735 | pdfs[D3Q19_NE] + pdfs[D3Q19_SE] + pdfs[D3Q19_SW] + pdfs[D3Q19_NW] + |
| 736 | pdfs[D3Q19_T] + pdfs[D3Q19_TN] + pdfs[D3Q19_TE] + pdfs[D3Q19_TS] + pdfs[D3Q19_TW] + |
| 737 | pdfs[D3Q19_B] + pdfs[D3Q19_BN] + pdfs[D3Q19_BE] + pdfs[D3Q19_BS] + pdfs[D3Q19_BW]; |
| 738 | |
| 739 | densitySum += density; |
| 740 | |
| 741 | ux = |
| 742 | pdfs[D3Q19_E] + pdfs[D3Q19_NE] + pdfs[D3Q19_SE] + pdfs[D3Q19_TE] + pdfs[D3Q19_BE] - |
| 743 | pdfs[D3Q19_W] - pdfs[D3Q19_NW] - pdfs[D3Q19_SW] - pdfs[D3Q19_TW] - pdfs[D3Q19_BW]; |
| 744 | |
| 745 | uxSum += ux; |
| 746 | |
| 747 | ++nFluidNodes; |
| 748 | } |
| 749 | } |
| 750 | |
| 751 | fprintf(fh, "%d %e %e\n", x, densitySum / nFluidNodes, uxSum / nFluidNodes); |
| 752 | } |
| 753 | |
| 754 | fclose(fh); |
| 755 | } |
| 756 | |
| 757 | |
| 758 | |
| 759 | void KernelAddBodyForce(KernelData * kd, LatticeDesc * ld, CaseData * cd) |
| 760 | { |
| 761 | Assert(kd != NULL); |
| 762 | Assert(ld != NULL); |
| 763 | Assert(cd != NULL); |
| 764 | |
| 765 | int nX = kd->Dims[0]; |
| 766 | int nY = kd->Dims[1]; |
| 767 | int nZ = kd->Dims[2]; |
| 768 | |
| 769 | PdfT w_0 = F(1.0) / F( 3.0); // C |
| 770 | PdfT w_1 = F(1.0) / F(18.0); // N,S,E,W,T,B |
| 771 | PdfT w_2 = F(1.0) / F(36.0); // NE,NW,SE,SW,TE,TW,BE,BW,TN,TS,BN,BS |
| 772 | PdfT w[] = {w_1,w_1,w_1,w_1,w_2,w_2,w_2,w_2,w_1,w_2,w_2,w_2,w_2,w_1,w_2,w_2,w_2,w_2,w_0}; |
| 773 | |
| 774 | PdfT xForce = cd->XForce; |
| 775 | |
| 776 | PdfT pdfs[N_D3Q19]; |
| 777 | |
| 778 | |
| 779 | #ifdef _OPENMP |
| 780 | #pragma omp parallel for collapse(3) default(none) \ |
| 781 | shared(nX,nY,nZ,ld,kd,w,xForce,D3Q19_X,cd) \ |
| 782 | private(pdfs) |
| 783 | #endif |
| 784 | for(int z = 0; z < nZ; ++z) { |
| 785 | for(int y = 0; y < nY; ++y) { |
| 786 | for(int x = 0; x < nX; ++x) { |
| 787 | if(ld->Lattice[L_INDEX_4(ld->Dims, x, y, z)] == LAT_CELL_OBSTACLE) |
| 788 | continue; |
| 789 | |
| 790 | // load pdfs into temp array |
| 791 | kd->GetNode(kd, x, y, z, pdfs); |
| 792 | |
| 793 | // add body force in x direction (method by Luo) |
| 794 | for (int d = 0; d < N_D3Q19; ++d) { |
| 795 | pdfs[d] = pdfs[d] + F(3.0) * w[d] * D3Q19_X[d] * xForce; |
| 796 | } |
| 797 | |
| 798 | kd->SetNode(kd, x, y, z, pdfs); |
| 799 | |
| 800 | } |
| 801 | } |
| 802 | } |
| 803 | } |