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+/* This file is part of the OpenLB library
+ *
+ * Copyright (C) 2012 Patrick Nathen, Mathias J. Krause
+ * 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.
+*/
+
+/** \file
+ * MRT Dynamics with adjusted omega -- generic implementation.
+ */
+#ifndef SMAGORINSKY_MRT_DYNAMICS_HH
+#define SMAGORINSKY_MRT_DYNAMICS_HH
+
+#include <algorithm>
+#include <limits>
+#include "smagorinskyMRTdynamics.h"
+#include "mrtDynamics.h"
+#include "mrtHelpers.h"
+#include "core/cell.h"
+#include "core/util.h"
+#include "math.h"
+
+
+using namespace std;
+namespace olb {
+
+////////////////////// Class SmagorinskyMRTdynamics //////////////////////////
+
+/** \param vs2_ speed of sound
+ * \param momenta_ a Momenta object to know how to compute velocity momenta
+ * \param momenta_ a Momenta object to know how to compute velocity momenta
+ */
+
+
+
+template<typename T, typename DESCRIPTOR>
+SmagorinskyMRTdynamics<T,DESCRIPTOR>::SmagorinskyMRTdynamics (
+ T omega_, Momenta<T,DESCRIPTOR>& momenta_, T smagoConst_, T dx_, T dt_ )
+ : MRTdynamics<T,DESCRIPTOR>(omega_, momenta_/*, smagoConst_*/),
+ smagoConst(smagoConst_),
+ preFactor(computePreFactor(omega_,smagoConst_) )
+{
+
+ T rtSGS[DESCRIPTOR::q]; // relaxation times vector for SGS approach.
+ for (int iPop = 0; iPop < DESCRIPTOR::q; ++iPop) {
+ rtSGS[iPop] = DESCRIPTOR::S[iPop];
+ }
+ for (int iPop = 0; iPop < DESCRIPTOR::shearIndexes; ++iPop) {
+ rtSGS[DESCRIPTOR::shearViscIndexes[iPop]] = omega;
+ }
+ for (int iPop = 0; iPop < DESCRIPTOR::q; ++iPop) {
+ for (int jPop = 0; jPop < DESCRIPTOR::q; ++jPop) {
+ invM_S_SGS[iPop][jPop] = T();
+ for (int kPop = 0; kPop < DESCRIPTOR::q; ++kPop) {
+ if (kPop == jPop) {
+ invM_S_SGS[iPop][jPop] += DESCRIPTOR::invM[iPop][kPop] * rtSGS[kPop];
+ }
+ }
+ }
+ }
+}
+
+
+template<typename T, typename DESCRIPTOR>
+void SmagorinskyMRTdynamics<T,DESCRIPTOR>::collide(
+ Cell<T,DESCRIPTOR>& cell,
+ LatticeStatistics<T>& statistics )
+{
+ T rho, u[DESCRIPTOR::d], pi[util::TensorVal<DESCRIPTOR >::n];
+ this->_momenta.computeAllMomenta(cell, rho, u, pi);
+ T newOmega = computeOmega(this->getOmega(), preFactor, rho, pi);
+ for (int iPop = 0; iPop < DESCRIPTOR::q; ++iPop) {
+ for (int jPop = 0; jPop < DESCRIPTOR::shearIndexes; ++jPop) {
+ invM_S_SGS[iPop][DESCRIPTOR::shearViscIndexes[jPop]] = DESCRIPTOR::invM[iPop][DESCRIPTOR::shearViscIndexes[jPop]] * newOmega;
+ }
+ }
+
+ T uSqr = mrtHelpers<T,DESCRIPTOR>::mrtSGSCollision(cell, rho, u, newOmega, invM_S_SGS);
+ statistics.incrementStats(rho, uSqr);
+}
+
+template<typename T, typename DESCRIPTOR>
+void SmagorinskyMRTdynamics<T,DESCRIPTOR>::setOmega(T omega)
+{
+ this->setOmega(omega);
+ preFactor = computePreFactor(omega, smagoConst);
+}
+
+template<typename T, typename DESCRIPTOR>
+T SmagorinskyMRTdynamics<T,DESCRIPTOR>::getSmagorinskyOmega(Cell<T,DESCRIPTOR>& cell )
+{
+ T rho, uTemp[DESCRIPTOR::d], pi[util::TensorVal<DESCRIPTOR >::n];
+ this->_momenta.computeAllMomenta(cell, rho, uTemp, pi);
+ T newOmega = computeOmega(this->getOmega(), preFactor, rho, pi);
+ return newOmega;
+}
+
+template<typename T, typename DESCRIPTOR>
+T SmagorinskyMRTdynamics<T,DESCRIPTOR>::computePreFactor(T omega, T smagoConst)
+{
+ return (T)smagoConst*smagoConst*descriptors::invCs2<T,DESCRIPTOR>()*descriptors::invCs2<T,DESCRIPTOR>()*2*sqrt(2);
+}
+
+template<typename T, typename DESCRIPTOR>
+T SmagorinskyMRTdynamics<T,DESCRIPTOR>::computeOmega(T omega0, T preFactor, T rho, T pi[util::TensorVal<DESCRIPTOR >::n] )
+{
+
+ T PiNeqNormSqr = pi[0]*pi[0] + 2.0*pi[1]*pi[1] + pi[2]*pi[2];
+ if (util::TensorVal<DESCRIPTOR >::n == 6) {
+ PiNeqNormSqr += pi[2]*pi[2] + pi[3]*pi[3] + 2*pi[4]*pi[4] +pi[5]*pi[5];
+ }
+ T PiNeqNorm = sqrt(PiNeqNormSqr);
+ /// Molecular realaxation time
+ T tau_mol = 1. /omega0;
+ /// Turbulent realaxation time
+ T tau_turb = 0.5*(sqrt(tau_mol*tau_mol + preFactor/rho*PiNeqNorm) - tau_mol);
+ /// Effective realaxation time
+ tau_eff = tau_mol+tau_turb;
+ T omega_new= 1./tau_eff;
+ return omega_new;
+}
+
+
+
+template<typename T, typename DESCRIPTOR>
+void SmagorinskyForcedMRTdynamics<T,DESCRIPTOR>::collide(
+ Cell<T,DESCRIPTOR>& cell,
+ LatticeStatistics<T>& statistics )
+{
+ T rho, u[DESCRIPTOR::d], pi[util::TensorVal<DESCRIPTOR >::n];
+ this->_momenta.computeAllMomenta(cell, rho, u, pi);
+ T newOmega = computeOmega(this->getOmega(), this->preFactor, rho, pi);
+ for (int iPop = 0; iPop < DESCRIPTOR::q; ++iPop) {
+ for (int jPop = 0; jPop < DESCRIPTOR::shearIndexes; ++jPop) {
+ this->invM_S_SGS[iPop][DESCRIPTOR::shearViscIndexes[jPop]] = DESCRIPTOR::invM[iPop][DESCRIPTOR::shearViscIndexes[jPop]] * newOmega;
+ }
+ }
+
+ T uSqr = mrtHelpers<T,DESCRIPTOR>::mrtSGSCollision(cell, rho, u, newOmega, this->invM_S_SGS);
+
+ mrtHelpers<T,DESCRIPTOR>::addExternalForce(cell, rho, u, this->invM_S_SGS);
+
+ statistics.incrementStats(rho, uSqr);
+}
+
+}
+
+#endif