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+/* This file is part of the OpenLB library
+ *
+ * Copyright (C) 2006,2007 Orestis Malaspinas and Jonas Latt
+ * 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.
+*/
+
+#ifndef ZOU_HE_DYNAMICS_HH
+#define ZOU_HE_DYNAMICS_HH
+
+#include "zouHeDynamics.h"
+#include "dynamics/latticeDescriptors.h"
+#include "core/util.h"
+#include "dynamics/lbHelpers.h"
+#include <cmath>
+
+
+namespace olb {
+
+
+
+template<typename T, typename DESCRIPTOR, typename Dynamics, int direction, int orientation>
+ZouHeDynamics<T,DESCRIPTOR,Dynamics,direction,orientation>::ZouHeDynamics (
+ T omega_, Momenta<T,DESCRIPTOR>& momenta_ )
+ : BasicDynamics<T,DESCRIPTOR>(momenta_),
+ boundaryDynamics(omega_, momenta_)
+{ }
+
+template<typename T, typename DESCRIPTOR, typename Dynamics, int direction, int orientation>
+T ZouHeDynamics<T,DESCRIPTOR, Dynamics, direction, orientation>::
+computeEquilibrium(int iPop, T rho, const T u[DESCRIPTOR::d], T uSqr) const
+{
+ return boundaryDynamics.computeEquilibrium(iPop, rho, u, uSqr);
+}
+
+template<typename T, typename DESCRIPTOR, typename Dynamics, int direction, int orientation>
+void ZouHeDynamics<T,DESCRIPTOR,Dynamics,direction,orientation>::collide (
+ Cell<T,DESCRIPTOR>& cell,
+ LatticeStatistics<T>& statistics )
+{
+ typedef lbHelpers<T,DESCRIPTOR> lbH;
+ typedef DESCRIPTOR L;
+
+ // Along all the commented parts of this code there will be an example based
+ // on the situation where the wall's normal vector if (0,1) and the
+ // numerotation of the velocites are done according to the D2Q9
+ // lattice of the OpenLB library.
+
+ // Find all the missing populations
+ // (directions 3,4,5)
+ std::vector<int> missingIndexes = util::subIndexOutgoing<L,direction,orientation>();
+
+ // Will contain the missing poputations that are not normal to the wall.
+ // (directions 3,5)
+ std::vector<int> missingDiagonalIndexes = missingIndexes;
+ for (unsigned iPop = 0; iPop < missingIndexes.size(); ++iPop) {
+ int numOfNonNullComp = 0;
+ for (int iDim = 0; iDim < L::d; ++iDim) {
+ numOfNonNullComp += abs(descriptors::c<L>(missingIndexes[iPop],iDim));
+ }
+
+ if (numOfNonNullComp == 1) {
+ missingDiagonalIndexes.erase(missingDiagonalIndexes.begin()+iPop);
+ break;
+ }
+ }
+
+ T rho, u[L::d];
+ T falseRho, falseU[L::d];
+ this->_momenta.computeRhoU(cell, rho, u);
+
+ T uSqr = util::normSqr<T,L::d>(u);
+
+ // The unknown non equilibrium populations are bounced back
+ // (f[3] = feq[3] + fneq[7], f[4] = feq[4] + fneq[8],
+ // f[5] = feq[5] + fneq[1])
+ for (unsigned iPop = 0; iPop < missingIndexes.size(); ++iPop) {
+ cell[missingIndexes[iPop]] = cell[util::opposite<L>(missingIndexes[iPop])]
+ - computeEquilibrium(util::opposite<L>(missingIndexes[iPop]), rho, u, uSqr)
+ + computeEquilibrium(missingIndexes[iPop], rho, u, uSqr);
+ }
+
+ // We recompute rho and u in order to have the new momentum and density. Since
+ // the momentum is not conserved from this scheme, we will corect it. By adding
+ // a contribution to the missingDiagonalVelocities.
+ lbH::computeRhoU(cell,falseRho,falseU);
+
+ T diff[L::d];
+ for (int iDim = 0; iDim < L::d; ++iDim) {
+ diff[iDim] = (rho*u[iDim] - falseRho*falseU[iDim])/ (T)missingDiagonalIndexes.size();
+ }
+
+ for (unsigned iPop = 0; iPop < missingDiagonalIndexes.size(); ++iPop) {
+ for (int iDim = 1; iDim < L::d; ++iDim) {
+ cell[missingDiagonalIndexes[iPop]] +=
+ descriptors::c<L>(missingDiagonalIndexes[iPop],(direction+iDim)%L::d) * diff[(direction+iDim)%L::d];
+ }
+ }
+
+ boundaryDynamics.collide(cell, statistics);
+
+ statistics.incrementStats(rho, uSqr);
+}
+
+template<typename T, typename DESCRIPTOR, typename Dynamics, int direction, int orientation>
+T ZouHeDynamics<T,DESCRIPTOR,Dynamics,direction,orientation>::getOmega() const
+{
+ return boundaryDynamics.getOmega();
+}
+
+template<typename T, typename DESCRIPTOR, typename Dynamics, int direction, int orientation>
+void ZouHeDynamics<T,DESCRIPTOR,Dynamics,direction,orientation>::setOmega(T omega_)
+{
+ boundaryDynamics.setOmega(omega_);
+}
+
+
+} // namespace olb
+
+#endif