CellBasedPdeSolver.cpp

/*

Copyright (C) University of Oxford, 2005-2011

University of Oxford means the Chancellor, Masters and Scholars of the
University of Oxford, having an administrative office at Wellington
Square, Oxford OX1 2JD, UK.

This file is part of Chaste.

Chaste is free software: you can redistribute it and/or modify it
under the terms of the GNU Lesser General Public License as published
by the Free Software Foundation, either version 2.1 of the License, or
(at your option) any later version.

Chaste 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 Lesser General Public
License for more details. The offer of Chaste under the terms of the
License is subject to the License being interpreted in accordance with
English Law and subject to any action against the University of Oxford
being under the jurisdiction of the English Courts.

You should have received a copy of the GNU Lesser General Public License
along with Chaste. If not, see <http://www.gnu.org/licenses/>.

*/

#include "CellBasedPdeSolver.hpp"
#include "TetrahedralMesh.hpp"
#include "SimpleLinearEllipticSolver.hpp"
#include "GaussianQuadratureRule.hpp"

template<unsigned DIM>
CellBasedPdeSolver<DIM>::CellBasedPdeSolver(TetrahedralMesh<DIM,DIM>* pMesh,
                              AbstractLinearEllipticPde<DIM,DIM>* pPde,
                              BoundaryConditionsContainer<DIM,DIM,1>* pBoundaryConditions,
                              unsigned numQuadPoints) :
        SimpleLinearEllipticSolver<DIM, DIM>(pMesh, pPde, pBoundaryConditions, numQuadPoints)
{
}

template<unsigned DIM>
CellBasedPdeSolver<DIM>::~CellBasedPdeSolver()
{
}

template<unsigned DIM>
c_vector<double, 1*(DIM+1)> CellBasedPdeSolver<DIM>::ComputeVectorTerm(
        c_vector<double, DIM+1>& rPhi,
        c_matrix<double, DIM, DIM+1>& rGradPhi,
        ChastePoint<DIM>& rX,
        c_vector<double, 1>& rU,
        c_matrix<double, 1, DIM>& rGradU /* not used */,
        Element<DIM, DIM>* pElement)
{
    return mConstantInUSourceTerm * rPhi;
}

template<unsigned DIM>
c_matrix<double, 1*(DIM+1), 1*(DIM+1)> CellBasedPdeSolver<DIM>::ComputeMatrixTerm(
        c_vector<double, DIM+1>& rPhi,
        c_matrix<double, DIM, DIM+1>& rGradPhi,
        ChastePoint<DIM>& rX,
        c_vector<double, 1>& rU,
        c_matrix<double, 1, DIM>& rGradU,
        Element<DIM, DIM>* pElement)
{
    c_matrix<double, DIM, DIM> pde_diffusion_term = this->mpEllipticPde->ComputeDiffusionTerm(rX);

    // This if statement just saves computing phi*phi^T if it is to be multiplied by zero
    if (mLinearInUCoeffInSourceTerm != 0)
    {
        return   prod( trans(rGradPhi), c_matrix<double, DIM, DIM+1>(prod(pde_diffusion_term, rGradPhi)) )
               - mLinearInUCoeffInSourceTerm * outer_prod(rPhi,rPhi);
    }
    else
    {
        return   prod( trans(rGradPhi), c_matrix<double, DIM, DIM+1>(prod(pde_diffusion_term, rGradPhi)) );
    }
}

template<unsigned DIM>
void CellBasedPdeSolver<DIM>::ResetInterpolatedQuantities()
{
    mConstantInUSourceTerm = 0;
    mLinearInUCoeffInSourceTerm = 0;
}

template<unsigned DIM>
void CellBasedPdeSolver<DIM>::IncrementInterpolatedQuantities(double phiI, const Node<DIM>* pNode)
{
    mConstantInUSourceTerm += phiI * this->mpEllipticPde->ComputeConstantInUSourceTermAtNode(*pNode);
    mLinearInUCoeffInSourceTerm += phiI * this->mpEllipticPde->ComputeLinearInUCoeffInSourceTermAtNode(*pNode);
}

template<unsigned DIM>
void CellBasedPdeSolver<DIM>::InitialiseForSolve(Vec initialSolution)
{
    // Linear system created here
    SimpleLinearEllipticSolver<DIM,DIM>::InitialiseForSolve(initialSolution);

    this->mpLinearSystem->SetMatrixIsSymmetric(true);
}

// Explicit instantiation

template class CellBasedPdeSolver<1>;
template class CellBasedPdeSolver<2>;
template class CellBasedPdeSolver<3>;