advectiondiffusionboundaries.hh

open lattice boltzmann project www.openlb.org

/*  This file is part of the OpenLB library
 *
 *  Copyright (C) 2008 Orestis Malaspinas, Andrea Parmigiani
 *  Address: EPFL-STI-LIN Station 9, 1015 Lausanne
 *  E-mail: [e-mail]
 *
 *  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 ADVECTION_DIFFUSION_BOUNDARIES_HH
#define ADVECTION_DIFFUSION_BOUNDARIES_HH

#include "advectionDiffusionBoundaries.h"
#include "advectionDiffusionLatticeDescriptors.h"
#include "core/util.h"
#include "utilAdvectionDiffusion.h"
#include "advectionDiffusionLbHelpers.h"

namespace olb {

using namespace descriptors;

//==================================================================================================
//==================== For regularized Advection Diffusion Boundary Condition ======================
//============================================================================================


// For flat Walls

template<typename T, template<typename U> class Lattice, typename Dynamics, int direction, int orientation>
AdvectionDiffusionBoundariesDynamics<T,Lattice,Dynamics,direction,orientation>::AdvectionDiffusionBoundariesDynamics(
        T omega_, Momenta<T,Lattice>& momenta_)
    : BasicDynamics<T,Lattice>(momenta_),
      boundaryDynamics(omega_, momenta_)
{
}

template<typename T, template<typename U> class Lattice, typename Dynamics, int direction, int orientation>
AdvectionDiffusionBoundariesDynamics<T,Lattice,Dynamics,direction,orientation>* AdvectionDiffusionBoundariesDynamics<T,Lattice, Dynamics, direction, orientation>::clone() const
{
    return new AdvectionDiffusionBoundariesDynamics<T,Lattice,Dynamics,direction,orientation>(*this);
}

template<typename T, template<typename U> class Lattice, typename Dynamics, int direction, int orientation>
T AdvectionDiffusionBoundariesDynamics<T,Lattice,Dynamics,direction,orientation>::computeEquilibrium(int iPop, T rho, const T u[Lattice<T>::d], T uSqr) const
{ 
     return advectionDiffusionLbHelpers<T,Lattice>::equilibrium(iPop, rho, u);
}


template<typename T, template<typename U> class Lattice, typename Dynamics, int direction, int orientation>
void AdvectionDiffusionBoundariesDynamics<T,Lattice,Dynamics,direction,orientation>::collide(Cell<T,Lattice>& cell,LatticeStatistics<T>& statistics)
{
    typedef Lattice<T> L;
    typedef advectionDiffusionLbHelpers<T,Lattice> lbH;
    
    T temperature = this->momenta.computeRho(cell);
    
    int missingNormal = 0;
    std::vector<int> missingDiagonal = util::subIndexOutgoing<L,direction,orientation>();
    std::vector<int> knownIndexes   = util::remainingIndexes<L>(missingDiagonal);
   // here I know all missing and non missing f_i
    for (unsigned iPop = 0; iPop < missingDiagonal.size(); ++iPop)
    {
        int numOfNonNullComp = 0;
        for (int iDim = 0; iDim < L:: d; ++iDim)
            numOfNonNullComp += abs(L::c[missingDiagonal[iPop]][iDim]);

        if (numOfNonNullComp == 1)
        {
            missingNormal = missingDiagonal[iPop];
            missingDiagonal.erase(missingDiagonal.begin()+iPop);
            break;
        }
    }
    
    T sum = T();
    for (unsigned iPop = 0; iPop < knownIndexes.size(); ++iPop)
    {
        sum += cell[knownIndexes[iPop]];
    }
    cell[missingNormal] = temperature - sum -(T)1;
    
	// Once all the f_i are known, I can call the collision for the Regularized Model.
    boundaryDynamics.collide(cell, statistics);
}

template<typename T, template<typename U> class Lattice, typename Dynamics, int direction, int orientation>
void AdvectionDiffusionBoundariesDynamics<T,Lattice,Dynamics,direction,orientation>::staticCollide (
        Cell<T,Lattice>& cell,
        const T u[Lattice<T>::d],
        LatticeStatistics<T>& statistics )
{
   assert(false);
}

template<typename T, template<typename U> class Lattice, typename Dynamics, int direction, int orientation>
T AdvectionDiffusionBoundariesDynamics<T,Lattice,Dynamics,direction,orientation>::getOmega() const 
{
    return boundaryDynamics.getOmega();
}

template<typename T, template<typename U> class Lattice, typename Dynamics, int direction, int orientation>
void AdvectionDiffusionBoundariesDynamics<T,Lattice,Dynamics,direction,orientation>::setOmega(T omega_)
{
    boundaryDynamics.setOmega(omega_);
}

//=================================================================
// For 2D Corners with regularized Dynamic ==============================================
//=================================================================
template<typename T, template<typename U> class Lattice, typename Dynamics, int xNormal, int yNormal>
AdvectionDiffusionCornerDynamics2D<T,Lattice,Dynamics,xNormal,yNormal>::AdvectionDiffusionCornerDynamics2D(
        T omega_, Momenta<T,Lattice>& momenta_)
    : BasicDynamics<T,Lattice>(momenta_),
      boundaryDynamics(omega_, momenta_)
{
}

template<typename T, template<typename U> class Lattice, typename Dynamics, int xNormal, int yNormal>
AdvectionDiffusionCornerDynamics2D<T,Lattice,Dynamics,xNormal,yNormal>* AdvectionDiffusionCornerDynamics2D<T,Lattice, Dynamics, xNormal,yNormal>::clone() const
{
    return new AdvectionDiffusionCornerDynamics2D<T,Lattice,Dynamics,xNormal,yNormal>(*this);
}

template<typename T, template<typename U> class Lattice, typename Dynamics,  int xNormal, int yNormal>
T AdvectionDiffusionCornerDynamics2D<T,Lattice,Dynamics,xNormal,yNormal>::computeEquilibrium(int iPop, T rho, const T u[Lattice<T>::d], T uSqr) const
{ 
     return advectionDiffusionLbHelpers<T,Lattice>::equilibrium(iPop, rho, u);
}


template<typename T, template<typename U> class Lattice, typename Dynamics,  int xNormal, int yNormal>
void AdvectionDiffusionCornerDynamics2D<T,Lattice,Dynamics,xNormal,yNormal>::collide(Cell<T,Lattice>& cell,LatticeStatistics<T>& statistics)
{
    typedef Lattice<T> L;
    typedef advectionDiffusionLbHelpers<T,Lattice> lbH;
    
    T temperature = this->momenta.computeRho(cell);
    T* u = cell.getExternal(Lattice<T>::ExternalField::velocityBeginsAt);
    // I need to get Missing information on the corners !!!!
    std::vector<int> unknownIndexes = utilAdvDiff::subIndexOutgoing2DonCorners<L,xNormal,yNormal>();
   // here I know all missing and non missing f_i
    
    
    // The collision procedure for D2Q5 and D3Q7 lattice is the same ...
    // Given the rule f_i_neq = -f_opposite(i)_neq
    // I have the right number of equations for the number of unknowns using these lattices 
    
    for (unsigned iPop = 0; iPop < unknownIndexes.size(); ++iPop)
    {
        cell[unknownIndexes[iPop]] = lbH::equilibrium(unknownIndexes[iPop], temperature, u) 
                                    -(cell[util::opposite<L>(unknownIndexes[iPop])]
                                    - lbH::equilibrium(util::opposite<L>(unknownIndexes[iPop]), temperature, u) ) ;
    }
    
    // Once all the f_i are known, I can call the collision for the Regularized Model.
    boundaryDynamics.collide(cell, statistics);
    
}

template<typename T, template<typename U> class Lattice, typename Dynamics, int xNormal, int yNormal>
void AdvectionDiffusionCornerDynamics2D<T,Lattice,Dynamics,xNormal,yNormal>::staticCollide (
        Cell<T,Lattice>& cell,
        const T u[Lattice<T>::d],