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+/*
+ * Lattice Boltzmann grid refinement sample, written in C++,
+ * using the OpenLB library
+ *
+ * Copyright (C) 2019 Adrian Kummerländer
+ * E-mail contact: info@openlb.net
+ * The most recent release of OpenLB can be downloaded at
+ * <http://www.openlb.net/>
+ *
+ * This program 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 2
+ * of the License, or (at your option) any later version.
+ *
+ * This program 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 this program; if not, write to the Free
+ * Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+ * Boston, MA 02110-1301, USA.
+ */
+
+namespace SchaeferTurek {
+
+const T deltaR = cylinderD / N; // coarse lattice spacing
+
+const Vector<T,2> modelOrigin {0.0, 0.0};
+const Vector<T,2> modelExtend {22*cylinderD + deltaR, 4.1*cylinderD + deltaR};
+
+const Vector<T,2> cylinderCenter {2*cylinderD, 2*cylinderD + deltaR/2};
+
+void prepareGeometry(Grid2D<T,DESCRIPTOR>& grid, Vector<T,2> origin, Vector<T,2> extend)
+{
+ OstreamManager clout(std::cout,"prepareGeometry");
+ clout << "Prepare Geometry ..." << std::endl;
+
+ auto& converter = grid.getConverter();
+ auto& sGeometry = grid.getSuperGeometry();
+
+ sGeometry.rename(0,1);
+
+ const T physSpacing = converter.getPhysDeltaX();
+
+ // Set material number for channel walls
+ {
+ const Vector<T,2> wallExtend { extend[0]+physSpacing/2, physSpacing/2 };
+ const Vector<T,2> wallOrigin = origin - physSpacing/4;
+
+ IndicatorCuboid2D<T> lowerWall(wallExtend, wallOrigin);
+ sGeometry.rename(1,2,lowerWall);
+ }
+ {
+ const Vector<T,2> wallExtend { extend[0]+physSpacing/2, physSpacing/2 };
+ const Vector<T,2> wallOrigin { origin[0]-physSpacing/4, extend[1]-physSpacing/4 };
+
+ IndicatorCuboid2D<T> upperWall(wallExtend, wallOrigin);
+ sGeometry.rename(1,2,upperWall);
+ }
+
+ // Set material number for inflow and outflow
+ {
+ const Vector<T,2> inflowExtend { physSpacing/2, extend[1]+physSpacing/4 };
+ const Vector<T,2> inflowOrigin = origin - physSpacing/4;
+
+ IndicatorCuboid2D<T> inflow(inflowExtend, inflowOrigin);
+ sGeometry.rename(1,3,inflow);
+ }
+ {
+ const Vector<T,2> outflowExtend { physSpacing/2, extend[1]+physSpacing/4 };
+ const Vector<T,2> outflowOrigin { extend[0]-physSpacing/4, origin[0]-physSpacing/4 };
+
+ IndicatorCuboid2D<T> outflow(outflowExtend, outflowOrigin);
+ sGeometry.rename(1,4,outflow);
+ }
+
+ // Set material number for vertically centered cylinder
+ {
+ const Vector<T,2> cylinderOrigin = origin + Vector<T,2> {cylinderCenter[0], cylinderCenter[1]};
+ IndicatorCircle2D<T> obstacle(cylinderOrigin, cylinderD/2);
+ sGeometry.rename(1,5,obstacle);
+ }
+
+ sGeometry.clean();
+ sGeometry.innerClean();
+ sGeometry.checkForErrors();
+
+ clout << "Prepare Geometry ... OK" << std::endl;
+}
+
+void prepareLattice(Grid2D<T,DESCRIPTOR>& grid)
+{
+ OstreamManager clout(std::cout,"prepareLattice");
+ clout << "Prepare lattice ..." << std::endl;
+
+ auto& converter = grid.getConverter();
+ auto& sGeometry = grid.getSuperGeometry();
+ auto& sLattice = grid.getSuperLattice();
+
+ Dynamics<T,DESCRIPTOR>& bulkDynamics = grid.addDynamics(
+ std::unique_ptr<Dynamics<T,DESCRIPTOR>>(
+ new BGKdynamics<T,DESCRIPTOR>(
+ grid.getConverter().getLatticeRelaxationFrequency(),
+ instances::getBulkMomenta<T,DESCRIPTOR>())));
+
+ sOnLatticeBoundaryCondition2D<T,DESCRIPTOR>& sBoundaryCondition = grid.getOnLatticeBoundaryCondition();
+ createLocalBoundaryCondition2D<T,DESCRIPTOR>(sBoundaryCondition);
+
+ const T omega = converter.getLatticeRelaxationFrequency();
+
+ sLattice.defineDynamics(sGeometry, 0, &instances::getNoDynamics<T,DESCRIPTOR>());
+ sLattice.defineDynamics(sGeometry, 1, &bulkDynamics); // bulk
+ sLattice.defineDynamics(sGeometry, 2, &bulkDynamics); // walls
+ sLattice.defineDynamics(sGeometry, 3, &bulkDynamics); // inflow
+ sLattice.defineDynamics(sGeometry, 4, &bulkDynamics); // outflow
+ sLattice.defineDynamics(sGeometry, 5, &instances::getBounceBack<T,DESCRIPTOR>()); // cylinder
+
+ sBoundaryCondition.addVelocityBoundary(sGeometry, 2, omega);
+ sBoundaryCondition.addVelocityBoundary(sGeometry, 3, omega);
+ sBoundaryCondition.addPressureBoundary(sGeometry, 4, omega);
+
+ AnalyticalConst2D<T,T> rho0(1.0);
+ AnalyticalConst2D<T,T> u0(0.0, 0.0);
+
+ auto materials = sGeometry.getMaterialIndicator({1, 2, 3, 4});
+ sLattice.defineRhoU(materials, rho0, u0);
+ sLattice.iniEquilibrium(materials, rho0, u0);
+
+ sLattice.initialize();
+
+ clout << "Prepare lattice ... OK" << std::endl;
+ sGeometry.print();
+}
+
+void setBoundaryValues(Grid2D<T,DESCRIPTOR>& grid, int iT)
+{
+ auto& converter = grid.getConverter();
+ auto& sGeometry = grid.getSuperGeometry();
+ auto& sLattice = grid.getSuperLattice();
+
+ const int iTmaxStart = converter.getLatticeTime(0.4*16);
+ const int iTupdate = 5;
+
+ if ( iT % iTupdate == 0 && iT <= iTmaxStart ) {
+ PolynomialStartScale<T,T> StartScale(iTmaxStart, 1);
+
+ T iTvec[1] { T(iT) };
+ T frac[1] { };
+ StartScale(frac, iTvec);
+
+ const T maxVelocity = converter.getCharLatticeVelocity() * 3./2. * frac[0];
+ Poiseuille2D<T> u(sGeometry, 3, maxVelocity, converter.getPhysDeltaX()/2);
+
+ sLattice.defineU(sGeometry, 3, u);
+ }
+}
+
+void getResults(Grid2D<T,DESCRIPTOR>& grid,
+ const std::string& prefix,
+ int iT)
+{
+ auto& converter = grid.getConverter();
+ auto& sLattice = grid.getSuperLattice();
+ auto& sGeometry = grid.getSuperGeometry();
+
+ SuperVTMwriter2D<T> vtmWriter(prefix);
+ SuperLatticePhysVelocity2D<T,DESCRIPTOR> velocity(sLattice, converter);
+ SuperLatticePhysPressure2D<T,DESCRIPTOR> pressure(sLattice, converter);
+ SuperLatticeGeometry2D<T,DESCRIPTOR> geometry(sLattice, sGeometry);
+ SuperLatticeKnudsen2D<T,DESCRIPTOR> knudsen(sLattice);
+ vtmWriter.addFunctor(geometry);
+ vtmWriter.addFunctor(velocity);
+ vtmWriter.addFunctor(pressure);
+ vtmWriter.addFunctor(knudsen);
+
+ if (iT==0) {
+ vtmWriter.createMasterFile();
+ }
+
+ vtmWriter.write(iT);
+}
+
+void takeMeasurements(Grid2D<T,DESCRIPTOR>& grid, int iT, bool print=true)
+{
+ auto& sLattice = grid.getSuperLattice();
+ auto& sGeometry = grid.getSuperGeometry();
+ auto& converter = grid.getConverter();
+
+ SuperLatticePhysPressure2D<T,DESCRIPTOR> pressure(sLattice, converter);
+ AnalyticalFfromSuperF2D<T> intpolatePressure(pressure, true);
+ SuperLatticePhysDrag2D<T,DESCRIPTOR> dragF(sLattice, sGeometry, 5, converter);
+
+ const T radiusCylinder = cylinderD/2;
+
+ const T point1[2] { cylinderCenter[0] - radiusCylinder, cylinderCenter[1] };
+ const T point2[2] { cylinderCenter[0] + radiusCylinder, cylinderCenter[1] };
+
+ T pressureInFrontOfCylinder, pressureBehindCylinder;
+ intpolatePressure(&pressureInFrontOfCylinder, point1);
+ intpolatePressure(&pressureBehindCylinder, point2);
+ const T pressureDrop = pressureInFrontOfCylinder - pressureBehindCylinder;
+
+ const int input[3] {};
+ T drag[dragF.getTargetDim()] {};
+ dragF(drag, input);
+
+ static Gnuplot<T> gplot("results");
+ gplot.setData(converter.getPhysTime(iT), {drag[0], drag[1], pressureDrop}, {"drag", "lift", "deltaP"}, "bottom right", {'l','l'});
+ gplot.writePNG();
+
+ if (print) {
+ OstreamManager clout(std::cout, "measurement");
+ clout << "pressureDrop=" << pressureDrop
+ << "; drag=" << drag[0]
+ << "; lift=" << drag[1]
+ << endl;
+ }
+}
+
+}