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/* This file is part of the OpenLB library
*
* Copyright (C) 2006, 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 INAMURO_ANALYTICAL_DYNAMICS_HH
#define INAMURO_ANALYTICAL_DYNAMICS_HH
#include "inamuroAnalyticalDynamics.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>
InamuroAnalyticalDynamics<T,DESCRIPTOR,Dynamics,direction,orientation>::InamuroAnalyticalDynamics (
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 InamuroAnalyticalDynamics<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 InamuroAnalyticalDynamics<T,DESCRIPTOR,Dynamics,direction,orientation>::collide (
Cell<T,DESCRIPTOR>& cell,
LatticeStatistics<T>& statistics )
{
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> missInd =
util::subIndexOutgoing<L,direction,orientation>();
// Will contain the missing poputations that are not normal to the wall.
// (directions 3,5)
std::vector<int> missDiagInd = missInd;
for (unsigned iPop = 0; iPop < missInd.size(); ++iPop) {
int numOfNonNullComp = 0;
for (int iDim = 0; iDim < L::d; ++iDim) {
numOfNonNullComp += abs(descriptors::c<L>(missInd[iPop],iDim));
}
if (numOfNonNullComp == 1) {
missDiagInd.erase(missDiagInd.begin()+iPop);
break;
}
}
// Will contain the populations normal to the wall's normal vector.
// (directions 2,6)
std::vector<int> perpInd = util::subIndex<L,direction,0>();
for (unsigned iPop = 0; iPop < perpInd.size(); ++iPop) {
if (descriptors::c<L>(perpInd[iPop],0) == 0 && descriptors::c<L>(perpInd[iPop],1) == 0) {
perpInd.erase(perpInd.begin() + iPop);
break;
}
}
T rho, u[L::d];
this->_momenta.computeRhoU(cell, rho, u);
T rhoCs = T();
T uCs[L::d];
for (int iDim = 0; iDim < L::d; ++iDim) {
uCs[iDim] = T();
}
T fSum = T();
for (unsigned iPop = 0; iPop < missInd.size(); ++iPop) {
fSum += cell[util::opposite<L>(missInd[iPop])];
}
// do not forget the "+1" in the rhoCs equation in the numerator (it's
// here because fEq = usualfEq - t[i]
rhoCs = ((T)6 * (-orientation * rho * u[direction] + fSum) + (T)1) /
((T)3 * u[direction] * u[direction] - orientation * (T)3 * u[direction] + (T)1);
T fDiffPerp = T();
for (unsigned iPop = 0; iPop < perpInd.size(); ++iPop) {
fDiffPerp += descriptors::c<L>(perpInd[iPop],(direction + 1)%2) * cell[perpInd[iPop]];
}
fDiffPerp *= orientation;
T fDiffDiag = T();
for (unsigned iPop = 0; iPop < missDiagInd.size(); ++iPop)
fDiffDiag += descriptors::c<L>(util::opposite<L>(missDiagInd[iPop]),(direction + 1)%2)
* cell[util::opposite<L>(missDiagInd[iPop])];
fDiffDiag *= orientation;
uCs[(direction + 1)%L::d] = (
- orientation * (T)6 * rho * u[(direction+1)%L::d]
+ orientation * rhoCs * u[(direction+1)%L::d]
- (T)3 * rhoCs * u[direction]*u[(direction+1)%L::d]
+ (T)6*(fDiffPerp + fDiffDiag))
/ (
rhoCs * (-orientation + (T)3 * u[direction]));
for (int iDim = 0; iDim < L::d; ++iDim) {
uCs[iDim] += u[iDim];
}
T uSqr = util::normSqr<T,L::d>(uCs);
for (unsigned iPop = 0; iPop < missInd.size(); ++iPop) {
cell[missInd[iPop]] = computeEquilibrium(missInd[iPop], rhoCs, uCs, uSqr);
}
boundaryDynamics.collide(cell, statistics);
}
template<typename T, typename DESCRIPTOR, typename Dynamics, int direction, int orientation>
T InamuroAnalyticalDynamics<T,DESCRIPTOR,Dynamics,direction,orientation>::getOmega() const
{
return boundaryDynamics.getOmega();
}
template<typename T, typename DESCRIPTOR, typename Dynamics, int direction, int orientation>
void InamuroAnalyticalDynamics<T,DESCRIPTOR,Dynamics,direction,orientation>::setOmega(T omega_)
{
boundaryDynamics.setOmega(omega_);
}
} // namespace olb
#endif
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