--- /dev/null
+// --------------------------------------------------------------------------
+//
+// Copyright
+// Markus Wittmann, 2016-2017
+// RRZE, University of Erlangen-Nuremberg, Germany
+// markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
+//
+// Viktor Haag, 2016
+// LSS, University of Erlangen-Nuremberg, Germany
+//
+// This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
+//
+// LbmBenchKernels is free software: you can redistribute it and/or modify
+// it under the terms of the GNU General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// LbmBenchKernels is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License
+// along with LbmBenchKernels. If not, see <http://www.gnu.org/licenses/>.
+//
+// --------------------------------------------------------------------------
+#include "BenchKernelD3Q19ListAaCommon.h"
+
+#include "Memory.h"
+#include "Vtk.h"
+#include "LikwidIf.h"
+
+#include <inttypes.h>
+#include <math.h>
+
+void FNAME(D3Q19ListAaKernel)(LatticeDesc * ld, KernelData * kernelData, CaseData * cd)
+{
+ Assert(ld != NULL);
+ Assert(kernelData != NULL);
+ Assert(cd != NULL);
+
+ Assert(cd->Omega > 0.0);
+ Assert(cd->Omega < 2.0);
+
+ KernelData * kd = (KernelData *)kernelData;
+ KernelDataList * kdl = (KernelDataList *)kernelData;
+
+ PdfT omega = cd->Omega;
+ PdfT omegaEven = omega;
+ // 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
+ PdfT magicParam = 1.0/12.0;
+ PdfT omegaOdd = 1.0/( 0.5 + magicParam/(1.0/omega - 0.5) );
+
+ PdfT evenPart = 0.0;
+ PdfT oddPart = 0.0;
+ PdfT dir_indep_trm = 0.0;
+
+ const PdfT w_0 = 1.0 / 3.0;
+ const PdfT w_1 = 1.0 / 18.0;
+ const PdfT w_2 = 1.0 / 36.0;
+
+ const PdfT w_1_x3 = w_1 * 3.0; const PdfT w_1_nine_half = w_1 * 9.0/2.0; PdfT w_1_indep = 0.0;
+ const PdfT w_2_x3 = w_2 * 3.0; const PdfT w_2_nine_half = w_2 * 9.0/2.0; PdfT w_2_indep = 0.0;
+
+ PdfT ui;
+
+ PdfT ux, uy, uz;
+ PdfT dens;
+
+ // Declare pdf_N, pdf_E, pdf_S, pdf_W, ...
+ #define X(name, idx, idxinv, x, y, z) PdfT JOIN(pdf_,name);
+ D3Q19_LIST
+ #undef X
+
+ PdfT * src = kd->Pdfs[0];
+
+ int maxIterations = cd->MaxIterations;
+ int nFluid = kdl->nFluid;
+ int nCells = kdl->nCells;
+
+ uint32_t adjListIndex;
+ uint32_t * adjList = kdl->AdjList;
+
+
+
+ #ifdef VTK_OUTPUT
+ if (cd->VtkOutput) {
+ kd->PdfsActive = src;
+ VtkWrite(ld, kd, cd, -1);
+ }
+ #endif
+
+ #ifdef STATISTICS
+ kd->PdfsActive = src;
+ KernelStatistics(kd, ld, cd, 0);
+ #endif
+
+ // TODO: outer openmp parallel
+ for(int iter = 0; iter < maxIterations; iter += 2) {
+
+
+ // --------------------------------------------------------------------
+ // even time step
+
+ X_LIKWID_START("list-aa-even");
+
+ #ifdef _OPENMP
+ #pragma omp parallel for default(none) \
+ shared(nFluid, nCells, kd, kdl, adjList, omegaOdd, omegaEven, src) \
+ private(ux, uy, uz, dens, adjListIndex, evenPart, oddPart, dir_indep_trm, w_1_indep, w_2_indep, ui,\
+ pdf_C, \
+ pdf_N, pdf_E, pdf_S, pdf_W, \
+ pdf_NE, pdf_SE, pdf_SW, pdf_NW, \
+ pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \
+ pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW)
+ #endif
+ for (int index = 0; index < nFluid; ++index) {
+
+
+ #define I(index, dir) P_INDEX_3((nCells), (index), (dir))
+
+ // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ...
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[I(index, idx)];
+ D3Q19_LIST
+ #undef X
+
+// #define LID_DRIVEN_CAVITY
+
+#ifdef LID_DRIVEN_CAVITY
+ int nX = kd->Dims[0];
+ int nY = kd->Dims[1];
+ int nZ = kd->Dims[2];
+
+ int x = kdl->Coords[C_INDEX_X(index)];
+ int y = kdl->Coords[C_INDEX_Y(index)];
+ int z = kdl->Coords[C_INDEX_Z(index)];
+
+ if (z == nZ - 4 && x > 3 && x < (nX - 4) && y > 3 && y < (nY - 4)) {
+ ux = 0.1 * 0.577;
+ uy = 0.0;
+ uz = 0.0;
+ } else {
+#endif
+ ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
+ pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW;
+ uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN -
+ pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS;
+ uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS -
+ pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS;
+#ifdef LID_DRIVEN_CAVITY
+ }
+#endif
+
+ dens = pdf_C +
+ pdf_N + pdf_E + pdf_S + pdf_W +
+ pdf_NE + pdf_SE + pdf_SW + pdf_NW +
+ pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
+ pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
+
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
+
+ // direction: w_0
+ src[I(index, D3Q19_C) ] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
+
+ // direction: w_1
+ w_1_indep = w_1*dir_indep_trm;
+
+ ui = uy;
+ evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ src[I(index, D3Q19_S)] = pdf_N - evenPart - oddPart;
+ src[I(index, D3Q19_N)] = pdf_S - evenPart + oddPart;
+
+ ui = ux;
+ evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ src[I(index, D3Q19_W)] = pdf_E - evenPart - oddPart;
+ src[I(index, D3Q19_E)] = pdf_W - evenPart + oddPart;
+
+ ui = uz;
+ evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ src[I(index, D3Q19_B)] = pdf_T - evenPart - oddPart;
+ src[I(index, D3Q19_T)] = pdf_B - evenPart + oddPart;
+
+ // direction: w_2
+ w_2_indep = w_2*dir_indep_trm;
+
+ ui = -ux + uy;
+ evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ src[I(index, D3Q19_SE)] = pdf_NW - evenPart - oddPart;
+ src[I(index, D3Q19_NW)] = pdf_SE - evenPart + oddPart;
+
+ ui = ux + uy;
+ evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ src[I(index, D3Q19_SW)] = pdf_NE - evenPart - oddPart;
+ src[I(index, D3Q19_NE)] = pdf_SW - evenPart + oddPart;
+
+ ui = -ux + uz;
+ evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ src[I(index, D3Q19_BE)] = pdf_TW - evenPart - oddPart;
+ src[I(index, D3Q19_TW)] = pdf_BE - evenPart + oddPart;
+
+ ui = ux + uz;
+ evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ src[I(index, D3Q19_BW)] = pdf_TE - evenPart - oddPart;
+ src[I(index, D3Q19_TE)] = pdf_BW - evenPart + oddPart;
+
+ ui = -uy + uz;
+ evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ src[I(index, D3Q19_BN)] = pdf_TS - evenPart - oddPart;
+ src[I(index, D3Q19_TS)] = pdf_BN - evenPart + oddPart;
+
+ ui = uy + uz;
+ evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ src[I(index, D3Q19_BS)] = pdf_TN - evenPart - oddPart;
+ src[I(index, D3Q19_TN)] = pdf_BS - evenPart + oddPart;
+
+ } // loop over fluid nodes
+
+ X_LIKWID_STOP("list-aa-even");
+
+ // save current iteration
+ kdl->Iteration = iter;
+ #ifdef VERIFICATION
+ kd->PdfsActive = src;
+ KernelAddBodyForce(kd, ld, cd);
+ #endif
+
+ // --------------------------------------------------------------------
+ // odd time step
+
+ X_LIKWID_START("list-aa-odd");
+
+#ifdef _OPENMP
+ #pragma omp parallel for default(none) \
+ shared(nFluid, nCells, kd, kdl, adjList, omegaOdd, omegaEven, src) \
+ private(ux, uy, uz, dens, adjListIndex, evenPart, oddPart, dir_indep_trm, w_1_indep, w_2_indep, ui,\
+ pdf_C, \
+ pdf_N, pdf_E, pdf_S, pdf_W, \
+ pdf_NE, pdf_SE, pdf_SW, pdf_NW, \
+ pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \
+ pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW)
+#endif
+ for (int index = 0; index < nFluid; ++index) {
+
+
+ adjListIndex = index * N_D3Q19_IDX;
+
+ // Load PDFs of local cell: pdf_N = src[adjList[adjListIndex + D3Q19_S]]; ...
+ pdf_C = src[P_INDEX_3(nCells, index, D3Q19_C)];
+
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = src[adjList[adjListIndex + idxinv]];
+ D3Q19_LIST_WO_C
+ #undef X
+
+#ifdef LID_DRIVEN_CAVITY
+ int nX = kd->Dims[0];
+ int nY = kd->Dims[1];
+ int nZ = kd->Dims[2];
+
+ int x = kdl->Coords[C_INDEX_X(index)];
+ int y = kdl->Coords[C_INDEX_Y(index)];
+ int z = kdl->Coords[C_INDEX_Z(index)];
+
+ if (z == nZ - 4 && x > 3 && x < (nX - 4) && y > 3 && y < (nY - 4)) {
+ ux = 0.1 * 0.577;
+ uy = 0.0;
+ uz = 0.0;
+ } else {
+#endif
+ ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
+ pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW;
+ uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN -
+ pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS;
+ uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS -
+ pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS;
+#ifdef LID_DRIVEN_CAVITY
+ }
+#endif
+
+ dens = pdf_C +
+ pdf_N + pdf_E + pdf_S + pdf_W +
+ pdf_NE + pdf_SE + pdf_SW + pdf_NW +
+ pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
+ pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
+
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
+
+ adjListIndex = index * N_D3Q19_IDX;
+
+ // direction: w_0
+ src[I(index, D3Q19_C) ] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
+
+ // direction: w_1
+ w_1_indep = w_1*dir_indep_trm;
+
+ ui = uy;
+ evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ src[adjList[adjListIndex + D3Q19_N]] = pdf_N - evenPart - oddPart;
+ src[adjList[adjListIndex + D3Q19_S]] = pdf_S - evenPart + oddPart;
+
+ ui = ux;
+ evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ src[adjList[adjListIndex + D3Q19_E]] = pdf_E - evenPart - oddPart;
+ src[adjList[adjListIndex + D3Q19_W]] = pdf_W - evenPart + oddPart;
+
+ ui = uz;
+ evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ src[adjList[adjListIndex + D3Q19_T]] = pdf_T - evenPart - oddPart;
+ src[adjList[adjListIndex + D3Q19_B]] = pdf_B - evenPart + oddPart;
+
+ // direction: w_2
+ w_2_indep = w_2*dir_indep_trm;
+
+ ui = -ux + uy;
+ evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ src[adjList[adjListIndex + D3Q19_NW]] = pdf_NW - evenPart - oddPart;
+ src[adjList[adjListIndex + D3Q19_SE]] = pdf_SE - evenPart + oddPart;
+
+ ui = ux + uy;
+ evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ src[adjList[adjListIndex + D3Q19_NE]] = pdf_NE - evenPart - oddPart;
+ src[adjList[adjListIndex + D3Q19_SW]] = pdf_SW - evenPart + oddPart;
+
+ ui = -ux + uz;
+ evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ src[adjList[adjListIndex + D3Q19_TW]] = pdf_TW - evenPart - oddPart;
+ src[adjList[adjListIndex + D3Q19_BE]] = pdf_BE - evenPart + oddPart;
+
+ ui = ux + uz;
+ evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ src[adjList[adjListIndex + D3Q19_TE]] = pdf_TE - evenPart - oddPart;
+ src[adjList[adjListIndex + D3Q19_BW]] = pdf_BW - evenPart + oddPart;
+
+ ui = -uy + uz;
+ evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ src[adjList[adjListIndex + D3Q19_TS]] = pdf_TS - evenPart - oddPart;
+ src[adjList[adjListIndex + D3Q19_BN]] = pdf_BN - evenPart + oddPart;
+
+ ui = uy + uz;
+ evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ src[adjList[adjListIndex + D3Q19_TN]] = pdf_TN - evenPart - oddPart;
+ src[adjList[adjListIndex + D3Q19_BS]] = pdf_BS - evenPart + oddPart;
+
+ #undef I
+ } // loop over fluid nodes
+
+ X_LIKWID_STOP("list-aa-odd");
+
+ // save current iteration
+ kdl->Iteration = iter + 1;
+
+ #ifdef VERIFICATION
+ kd->PdfsActive = src;
+ KernelAddBodyForce(kd, ld, cd);
+ #endif
+
+ #ifdef VTK_OUTPUT
+ if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) {
+ kd->PdfsActive = src;
+ VtkWrite(ld, kd, cd, iter);
+ }
+ #endif
+
+ #ifdef STATISTICS
+ kd->PdfsActive = src;
+ KernelStatistics(kd, ld, cd, iter);
+ #endif
+
+
+ } // for (int iter = 0; ...
+
+
+#ifdef VTK_OUTPUT
+ if (cd->VtkOutput) {
+ kd->PdfsActive = src;
+ VtkWrite(ld, kd, cd, maxIterations);
+ }
+#endif
+
+#ifdef STATISTICS
+ kd->PdfsActive = src;
+ KernelStatistics(kd, ld, cd, maxIterations);
+#endif
+
+ return;
+}