src/BenchKernelD3Q19ListAa.c

   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 "BenchKernelD3Q19ListAaCommon.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 void FNAME(D3Q19ListAaKernel)(LatticeDesc * ld, KernelData * kernelData, CaseData * cd)
  37 {
  38         Assert(ld != NULL);
  39         Assert(kernelData != NULL);
  40         Assert(cd != NULL);
  41
  42         Assert(cd->Omega > F(0.0));
  43         Assert(cd->Omega < F(2.0));
  44
  45         KernelData * kd = (KernelData *)kernelData;
  46         KernelDataList * kdl = (KernelDataList *)kernelData;
  47
  48         PdfT omega = cd->Omega;
  49         PdfT omegaEven = omega;
  50         //  1/4: best stability;
  51         // 1/12: removes third-order advection error (best advection);
  52         //  1/6: removes fourth-order diffusion error (best diffusion);
  53         // 3/16: exact location of bounce back for poiseuille flow
  54         PdfT magicParam = F(1.0)/F(12.0);
  55         PdfT omegaOdd = F(1.0)/( F(0.5) + magicParam/(F(1.0)/omega - F(0.5)) );
  56
  57         PdfT evenPart = F(0.0);
  58         PdfT oddPart = F(0.0);
  59         PdfT dir_indep_trm = F(0.0);
  60
  61         const PdfT w_0 = F(1.0) /  F(3.0);
  62         const PdfT w_1 = F(1.0) / F(18.0);
  63         const PdfT w_2 = F(1.0) / F(36.0);
  64
  65         const PdfT w_1_x3 = w_1 * F(3.0);       const PdfT w_1_nine_half = w_1 * F(9.0)/F(2.0); PdfT w_1_indep = F(0.0);
  66         const PdfT w_2_x3 = w_2 * F(3.0);       const PdfT w_2_nine_half = w_2 * F(9.0)/F(2.0); PdfT w_2_indep = F(0.0);
  67
  68         PdfT ui;
  69
  70         PdfT ux, uy, uz;
  71         PdfT dens;
  72
  73         // Declare pdf_N, pdf_E, pdf_S, pdf_W, ...
  74         #define X(name, idx, idxinv, x, y, z)   PdfT JOIN(pdf_,name);
  75         D3Q19_LIST
  76         #undef X
  77
  78         PdfT * src = kd->Pdfs[0];
  79
  80         int maxIterations = cd->MaxIterations;
  81         int nFluid = kdl->nFluid;
  82         int nCells = kdl->nCells;
  83
  84         uint32_t adjListIndex;
  85         uint32_t * adjList = kdl->AdjList;
  86
  87
  88
  89         #ifdef VTK_OUTPUT
  90                 if (cd->VtkOutput) {
  91                         kd->PdfsActive = src;
  92                         VtkWrite(ld, kd, cd, -1);
  93                 }
  94         #endif
  95
  96         #ifdef STATISTICS
  97                 kd->PdfsActive = src;
  98                 KernelStatistics(kd, ld, cd, 0);
  99         #endif
 100
 101         // TODO: outer openmp parallel
 102         for(int iter = 0; iter < maxIterations; iter += 2) {
 103
 104
 105                 // --------------------------------------------------------------------
 106                 // even time step
 107
 108                 X_LIKWID_START("list-aa-even");
 109
 110 #ifdef _OPENMP
 111                 #pragma omp parallel for default(none) \
 112                                 shared(nFluid, nCells, kd, kdl, adjList, omegaOdd, omegaEven, src) \
 113                                 private(ux, uy, uz, dens, adjListIndex, evenPart, oddPart, dir_indep_trm, w_1_indep, w_2_indep, ui,\
 114                                         pdf_C, \
 115                                         pdf_N, pdf_E, pdf_S, pdf_W, \
 116                                         pdf_NE, pdf_SE, pdf_SW, pdf_NW, \
 117                                         pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \
 118                                         pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW)
 119 #endif
 120 #ifdef INTEL_OPT_DIRECTIVES
 121                 #pragma ivdep
 122                 #pragma vector always
 123                 #pragma simd
 124 #endif
 125                 for (int index = 0; index < nFluid; ++index) {
 126
 127
 128                         #define I(index, dir)   P_INDEX_3((nCells), (index), (dir))
 129
 130                         // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ...
 131                         #define X(name, idx, idxinv, _x, _y, _z)        JOIN(pdf_,name) = src[I(index, idx)];
 132                         D3Q19_LIST
 133                         #undef X
 134
 135 // #define LID_DRIVEN_CAVITY
 136
 137 #ifdef LID_DRIVEN_CAVITY
 138                         int nX = kd->Dims[0];
 139                         int nY = kd->Dims[1];
 140                         int nZ = kd->Dims[2];
 141
 142                         int x = kdl->Coords[C_INDEX_X(index)];
 143                         int y = kdl->Coords[C_INDEX_Y(index)];
 144                         int z = kdl->Coords[C_INDEX_Z(index)];
 145
 146                         if (z == nZ - 4 && x > 3 && x < (nX - 4) && y > 3 && y < (nY - 4)) {
 147                                 ux = 0.1 * 0.577;
 148                                 uy = 0.0;
 149                                 uz = 0.0;
 150                         } else {
 151 #endif
 152                                 ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
 153                                          pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW;
 154                                 uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN -
 155                                          pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS;
 156                                 uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS -
 157                                          pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS;
 158 #ifdef LID_DRIVEN_CAVITY
 159                         }
 160 #endif
 161
 162                         dens = pdf_C +
 163                                    pdf_N  + pdf_E  + pdf_S  + pdf_W  +
 164                                    pdf_NE + pdf_SE + pdf_SW + pdf_NW +
 165                                    pdf_T  + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
 166                                    pdf_B  + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
 167
 168                         dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*F(3.0)/F(2.0);
 169
 170                         // direction: w_0
 171                         src[I(index, D3Q19_C)             ]  = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
 172
 173                         // direction: w_1
 174                         w_1_indep = w_1*dir_indep_trm;
 175
 176                         ui = uy;
 177                         evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
 178                         oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
 179                         src[I(index, D3Q19_S)]  = pdf_N - evenPart - oddPart;
 180                         src[I(index, D3Q19_N)]  = pdf_S - evenPart + oddPart;
 181
 182                         ui = ux;
 183                         evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
 184                         oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
 185                         src[I(index, D3Q19_W)]  = pdf_E - evenPart - oddPart;
 186                         src[I(index, D3Q19_E)]  = pdf_W - evenPart + oddPart;
 187
 188                         ui = uz;
 189                         evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
 190                         oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
 191                         src[I(index, D3Q19_B)]  = pdf_T - evenPart - oddPart;
 192                         src[I(index, D3Q19_T)]  = pdf_B - evenPart + oddPart;
 193
 194                         // direction: w_2
 195                         w_2_indep = w_2*dir_indep_trm;
 196
 197                         ui = -ux + uy;
 198                         evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
 199                         oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
 200                         src[I(index, D3Q19_SE)] = pdf_NW - evenPart - oddPart;
 201                         src[I(index, D3Q19_NW)] = pdf_SE - evenPart + oddPart;
 202
 203                         ui = ux + uy;
 204                         evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
 205                         oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
 206                         src[I(index, D3Q19_SW)] = pdf_NE - evenPart - oddPart;
 207                         src[I(index, D3Q19_NE)] = pdf_SW - evenPart + oddPart;
 208
 209                         ui = -ux + uz;
 210                         evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
 211                         oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
 212                         src[I(index, D3Q19_BE)] = pdf_TW - evenPart - oddPart;
 213                         src[I(index, D3Q19_TW)] = pdf_BE - evenPart + oddPart;
 214
 215                         ui = ux + uz;
 216                         evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
 217                         oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
 218                         src[I(index, D3Q19_BW)] = pdf_TE - evenPart - oddPart;
 219                         src[I(index, D3Q19_TE)] = pdf_BW - evenPart + oddPart;
 220
 221                         ui = -uy + uz;
 222                         evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
 223                         oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
 224                         src[I(index, D3Q19_BN)] = pdf_TS - evenPart - oddPart;
 225                         src[I(index, D3Q19_TS)] = pdf_BN - evenPart + oddPart;
 226
 227                         ui = uy + uz;
 228                         evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
 229                         oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
 230                         src[I(index, D3Q19_BS)] = pdf_TN - evenPart - oddPart;
 231                         src[I(index, D3Q19_TN)] = pdf_BS - evenPart + oddPart;
 232
 233                 } // loop over fluid nodes
 234
 235                 X_LIKWID_STOP("list-aa-even");
 236
 237                 // save current iteration
 238                 kdl->Iteration = iter;
 239                 #ifdef VERIFICATION
 240                         kd->PdfsActive = src;
 241                         KernelAddBodyForce(kd, ld, cd);
 242                 #endif
 243
 244                 // --------------------------------------------------------------------
 245                 // odd time step
 246
 247                 X_LIKWID_START("list-aa-odd");
 248
 249 #ifdef _OPENMP
 250                 #pragma omp parallel for default(none) \
 251                                 shared(nFluid, nCells, kd, kdl, adjList, omegaOdd, omegaEven, src) \
 252                                 private(ux, uy, uz, dens, adjListIndex, evenPart, oddPart, dir_indep_trm, w_1_indep, w_2_indep, ui,\
 253                                         pdf_C, \
 254                                         pdf_N, pdf_E, pdf_S, pdf_W, \
 255                                         pdf_NE, pdf_SE, pdf_SW, pdf_NW, \
 256                                         pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \
 257                                         pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW)
 258 #endif
 259 #ifdef INTEL_OPT_DIRECTIVES
 260                 #pragma ivdep
 261 #endif
 262                 for (int index = 0; index < nFluid; ++index) {
 263
 264
 265                         adjListIndex = index * N_D3Q19_IDX;
 266
 267                         // Load PDFs of local cell: pdf_N = src[adjList[adjListIndex + D3Q19_S]]; ...
 268                         pdf_C = src[P_INDEX_3(nCells, index, D3Q19_C)];
 269
 270                         #define X(name, idx, idxinv, _x, _y, _z)        JOIN(pdf_,name) = src[adjList[adjListIndex + idxinv]];
 271                         D3Q19_LIST_WO_C
 272                         #undef X
 273
 274 #ifdef LID_DRIVEN_CAVITY
 275                         int nX = kd->Dims[0];
 276                         int nY = kd->Dims[1];
 277                         int nZ = kd->Dims[2];
 278
 279                         int x = kdl->Coords[C_INDEX_X(index)];
 280                         int y = kdl->Coords[C_INDEX_Y(index)];
 281                         int z = kdl->Coords[C_INDEX_Z(index)];
 282
 283                         if (z == nZ - 4 && x > 3 && x < (nX - 4) && y > 3 && y < (nY - 4)) {
 284                                 ux = F(0.1) * F(0.5)77;
 285                                 uy = F(0.0);
 286                                 uz = F(0.0);
 287                         } else {
 288 #endif
 289                                 ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
 290                                          pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW;
 291                                 uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN -
 292                                          pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS;
 293                                 uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS -
 294                                          pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS;
 295 #ifdef LID_DRIVEN_CAVITY
 296                         }
 297 #endif
 298
 299                         dens = pdf_C +
 300                                    pdf_N  + pdf_E  + pdf_S  + pdf_W  +
 301                                    pdf_NE + pdf_SE + pdf_SW + pdf_NW +
 302                                    pdf_T  + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
 303                                    pdf_B  + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
 304
 305                         dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*F(3.0)/F(2.0);
 306
 307                         adjListIndex = index * N_D3Q19_IDX;
 308
 309                         // direction: w_0
 310                         src[I(index, D3Q19_C)             ]  = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
 311
 312                         // direction: w_1
 313                         w_1_indep = w_1*dir_indep_trm;
 314
 315                         ui = uy;
 316                         evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
 317                         oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
 318                         src[adjList[adjListIndex + D3Q19_N]]  = pdf_N - evenPart - oddPart;
 319                         src[adjList[adjListIndex + D3Q19_S]]  = pdf_S - evenPart + oddPart;
 320
 321                         ui = ux;
 322                         evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
 323                         oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
 324                         src[adjList[adjListIndex + D3Q19_E]]  = pdf_E - evenPart - oddPart;
 325                         src[adjList[adjListIndex + D3Q19_W]]  = pdf_W - evenPart + oddPart;
 326
 327                         ui = uz;
 328                         evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
 329                         oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
 330                         src[adjList[adjListIndex + D3Q19_T]]  = pdf_T - evenPart - oddPart;
 331                         src[adjList[adjListIndex + D3Q19_B]]  = pdf_B - evenPart + oddPart;
 332
 333                         // direction: w_2
 334                         w_2_indep = w_2*dir_indep_trm;
 335
 336                         ui = -ux + uy;
 337                         evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
 338                         oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
 339                         src[adjList[adjListIndex + D3Q19_NW]] = pdf_NW - evenPart - oddPart;
 340                         src[adjList[adjListIndex + D3Q19_SE]] = pdf_SE - evenPart + oddPart;
 341
 342                         ui = ux + uy;
 343                         evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
 344                         oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
 345                         src[adjList[adjListIndex + D3Q19_NE]] = pdf_NE - evenPart - oddPart;
 346                         src[adjList[adjListIndex + D3Q19_SW]] = pdf_SW - evenPart + oddPart;
 347
 348                         ui = -ux + uz;
 349                         evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
 350                         oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
 351                         src[adjList[adjListIndex + D3Q19_TW]] = pdf_TW - evenPart - oddPart;
 352                         src[adjList[adjListIndex + D3Q19_BE]] = pdf_BE - evenPart + oddPart;
 353
 354                         ui = ux + uz;
 355                         evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
 356                         oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
 357                         src[adjList[adjListIndex + D3Q19_TE]] = pdf_TE - evenPart - oddPart;
 358                         src[adjList[adjListIndex + D3Q19_BW]] = pdf_BW - evenPart + oddPart;
 359
 360                         ui = -uy + uz;
 361                         evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
 362                         oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
 363                         src[adjList[adjListIndex + D3Q19_TS]] = pdf_TS - evenPart - oddPart;
 364                         src[adjList[adjListIndex + D3Q19_BN]] = pdf_BN - evenPart + oddPart;
 365
 366                         ui = uy + uz;
 367                         evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
 368                         oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
 369                         src[adjList[adjListIndex + D3Q19_TN]] = pdf_TN - evenPart - oddPart;
 370                         src[adjList[adjListIndex + D3Q19_BS]] = pdf_BS - evenPart + oddPart;
 371
 372                         #undef I
 373                 } // loop over fluid nodes
 374
 375                 X_LIKWID_STOP("list-aa-odd");
 376
 377                 // save current iteration
 378                 kdl->Iteration = iter + 1;
 379
 380                 #ifdef VERIFICATION
 381                         kd->PdfsActive = src;
 382                         KernelAddBodyForce(kd, ld, cd);
 383                 #endif
 384
 385                 #ifdef VTK_OUTPUT
 386                         if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) {
 387                                 kd->PdfsActive = src;
 388                                 VtkWrite(ld, kd, cd, iter);
 389                         }
 390                 #endif
 391
 392                 #ifdef STATISTICS
 393                         kd->PdfsActive = src;
 394                         KernelStatistics(kd, ld, cd, iter);
 395                 #endif
 396
 397
 398         } // for (int iter = 0; ...
 399
 400
 401 #ifdef VTK_OUTPUT
 402         if (cd->VtkOutput) {
 403                 kd->PdfsActive = src;
 404                 VtkWrite(ld, kd, cd, maxIterations);
 405         }
 406 #endif
 407
 408 #ifdef STATISTICS
 409         kd->PdfsActive = src;
 410         KernelStatistics(kd, ld, cd, maxIterations);
 411 #endif
 412
 413         return;
 414 }