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/* This file is part of the Palabos library.
*
* Copyright (C) 2011-2015 FlowKit Sarl
* Route d'Oron 2
* 1010 Lausanne, Switzerland
* E-mail contact: contact@flowkit.com
*
* The most recent release of Palabos can be downloaded at
* <http://www.palabos.org/>
*
* The library Palabos is free software: you can redistribute it and/or
* modify it under the terms of the GNU Affero General Public License as
* published by the Free Software Foundation, either version 3 of the
* License, or (at your option) any later version.
*
* The library 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 Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
/** \file
* A collection of dynamics classes (e.g. BGK) with which a Cell object
* can be instantiated -- header file.
*/
#ifndef GENERALIZED_BOUNDARY_DYNAMICS_SOLVERS_H
#define GENERALIZED_BOUNDARY_DYNAMICS_SOLVERS_H
#include "core/globalDefs.h"
#include "core/cell.h"
#include <Eigen/Core>
namespace plb {
// ================ GeneralizedBoundarySolver base class =================== //
template<typename T, template<typename U> class Descriptor>
class GeneralizedBoundarySolver
{
public:
GeneralizedBoundarySolver(const std::vector<plint> &mInd_, const std::vector<plint> &kInd_);
virtual ~GeneralizedBoundarySolver() {};
virtual void apply(Cell<T,Descriptor> &cell,
const Dynamics<T,Descriptor> &dyn,
bool replaceAll = true ) = 0;
protected:
// missing idexes (mInd) and known indexes (kInnd)
std::vector<plint> mInd, kInd;
};
// ============== GeneralizedLinearBoundarySolver base class =============== //
template<typename T, template<typename U> class Descriptor>
class GeneralizedLinearBoundarySolver : public GeneralizedBoundarySolver<T,Descriptor>
{
public:
GeneralizedLinearBoundarySolver(const std::vector<plint> &mInd_,
const std::vector<plint> &kInd_);
virtual void apply(Cell<T,Descriptor> &cell,
const Dynamics<T,Descriptor> &dyn,
bool replaceAll = true );
virtual void createLinearSystem(Cell<T,Descriptor> &cell, Eigen::MatrixXd &A, Eigen::VectorXd &b) = 0;
virtual void regularizePopulations(Cell<T,Descriptor> &cell, const Eigen::VectorXd &x,
const Dynamics<T,Descriptor> &dyn, bool replaceAll ) = 0;
void solveLinearSytem(Cell<T,Descriptor> &cell, Eigen::MatrixXd &A, Eigen::VectorXd &b, Eigen::VectorXd &x);
};
// ============ GeneralizedNonLinearBoundarySolver base class ============== //
template<typename T, template<typename U> class Descriptor>
class GeneralizedNonLinearBoundarySolver : public GeneralizedBoundarySolver<T,Descriptor>
{
public:
GeneralizedNonLinearBoundarySolver(const std::vector<plint> &mInd_, const std::vector<plint> &kInd_,
T epsilon_);
virtual void apply(Cell<T,Descriptor> &cell,
const Dynamics<T,Descriptor> &dyn,
bool replaceAll = true );
bool converge(const Eigen::VectorXd &x, const Eigen::VectorXd &dx);
virtual void fromXtoMacro(const Eigen::VectorXd &x) = 0;
virtual void fromMacroToX(Eigen::VectorXd &x) = 0;
virtual void iniSystem(Eigen::MatrixXd &Jac, Eigen::VectorXd &f,
Eigen::VectorXd &x, Eigen::VectorXd &dx) = 0;
virtual void createNonLinearSystem(const Cell<T,Descriptor> &cell, Eigen::MatrixXd &Jac, Eigen::VectorXd &f) = 0;
virtual void iterateNonLinearSystem(const Eigen::MatrixXd &Jac, const Eigen::VectorXd &f,
Eigen::VectorXd &x, Eigen::VectorXd &dx);
virtual void regularizePopulations(Cell<T,Descriptor> &cell, const Eigen::VectorXd &x,
const Dynamics<T,Descriptor> &dyn, bool replaceAll ) = 0;
private :
T epsilon;
protected :
std::vector<T> macro;
};
// ========================================================================= //
// ============ Different kind of Linear BCs for incompressible fluids ===== //
// ========================================================================= //
// ========================= Dirichlet Velocity BC ========================= //
// ======================= without mass conservation ======================= //
template<typename T, template<typename U> class Descriptor>
class DirichletVelocityBoundarySolver : public GeneralizedLinearBoundarySolver<T,Descriptor>
{
public:
DirichletVelocityBoundarySolver(const std::vector<plint> &mInd_, const std::vector<plint> &kInd_,
const Array<T,Descriptor<T>::d> &u_);
virtual void createLinearSystem(Cell<T,Descriptor> &cell, Eigen::MatrixXd &A, Eigen::VectorXd &b);
virtual void regularizePopulations(Cell<T,Descriptor> &cell, const Eigen::VectorXd &x,
const Dynamics<T,Descriptor> &dyn, bool replaceAll );
private :
Array<T,Descriptor<T>::d> u;
T uSqr;
plint sysX, sysY;
};
// ========================= Dirichlet Velocity BC ========================= //
// ======================= with mass conservation ======================= //
template<typename T, template<typename U> class Descriptor>
class DirichletMassConservingVelocityBoundarySolver : public GeneralizedLinearBoundarySolver<T,Descriptor>
{
public:
DirichletMassConservingVelocityBoundarySolver(const std::vector<plint> &mInd_,
const std::vector<plint> &kInd_,
const std::vector<plint> &inGoingIndices_,
const Array<T,Descriptor<T>::d> &u_ );
virtual void createLinearSystem(Cell<T,Descriptor> &cell, Eigen::MatrixXd &A, Eigen::VectorXd &b);
virtual void regularizePopulations(Cell<T,Descriptor> &cell, const Eigen::VectorXd &x,
const Dynamics<T,Descriptor> &dyn, bool replaceAll );
private :
std::vector<plint> inGoingInd;
Array<T,Descriptor<T>::d> u;
T uSqr;
plint sysX, sysY;
};
// ========================================================================= //
// ======== Different kind of Non-Linear BCs for incompressible fluids ===== //
// ========================================================================= //
// ========================= Dirichlet Density BC ========================== //
// ======================= without mass conservation ======================= //
template<typename T, template<typename U> class Descriptor, int dir>
class DirichletDensityBoundarySolver : public GeneralizedNonLinearBoundarySolver<T,Descriptor>
{
public:
DirichletDensityBoundarySolver(const std::vector<plint> &mInd_, const std::vector<plint> &kInd_,
T &rho_, Array<T,Descriptor<T>::d> &u_,
Array<T,SymmetricTensor<T,Descriptor>::n> &PiNeq_,
T epsilon_);
virtual void fromXtoMacro(const Eigen::VectorXd &x);
virtual void fromMacroToX(Eigen::VectorXd &x);
virtual void iniSystem(Eigen::MatrixXd &Jac, Eigen::VectorXd &f,
Eigen::VectorXd &x, Eigen::VectorXd &dx);
virtual void createNonLinearSystem(const Cell<T,Descriptor> &cell, Eigen::MatrixXd &Jac, Eigen::VectorXd &f);
virtual void regularizePopulations(Cell<T,Descriptor> &cell, const Eigen::VectorXd &x,
const Dynamics<T,Descriptor> &dyn, bool replaceAll );
private :
plint sysX, sysY;
};
} // namespace plb
#endif // GENERALIZED_BOUNDARY_DYNAMICS_H
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