AbstractTetrahedralElement.hpp

/*

Copyright (C) University of Oxford, 2005-2009

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/>.

*/


#ifndef _ABSTRACTTETRAHEDRALELEMENT_HPP_
#define _ABSTRACTTETRAHEDRALELEMENT_HPP_

#include <vector>

#include "UblasMatrixInclude.hpp"
#include "UblasVectorInclude.hpp"

#include "AbstractElement.hpp"
#include "Node.hpp"

template <unsigned ELEMENT_DIM, unsigned SPACE_DIM>
class AbstractTetrahedralElement : public AbstractElement<ELEMENT_DIM,SPACE_DIM>
{
protected:

    void RefreshJacobian(c_matrix<double, SPACE_DIM, ELEMENT_DIM>& rJacobian);

public:

    AbstractTetrahedralElement(unsigned index, const std::vector<Node<SPACE_DIM>*>& rNodes);

    AbstractTetrahedralElement(unsigned index=INDEX_IS_NOT_USED);

    virtual ~AbstractTetrahedralElement()
    {}

    c_vector<double, SPACE_DIM> CalculateCentroid() const;

    void CalculateJacobian(c_matrix<double, SPACE_DIM, ELEMENT_DIM>& rJacobian,
                           double& rJacobianDeterminant);

    void CalculateWeightedDirection(c_vector<double, SPACE_DIM>& rWeightedDirection, double& rJacobianDeterminant);

    void CalculateInverseJacobian(c_matrix<double, SPACE_DIM, ELEMENT_DIM>& rJacobian,
                                  double& rJacobianDeterminant,
                                  c_matrix<double, ELEMENT_DIM, SPACE_DIM>& rInverseJacobian); 

    double GetVolume(double determinant) const;

    void GetStiffnessMatrixGlobalIndices(unsigned problemDim, unsigned* pIndices) const;
};


//                  Specialization for 0d elements                  //


template<unsigned SPACE_DIM>
class AbstractTetrahedralElement<0, SPACE_DIM> : public AbstractElement<0,SPACE_DIM>
{
public:

    AbstractTetrahedralElement(unsigned index, const std::vector<Node<SPACE_DIM>*>& rNodes);

    AbstractTetrahedralElement(unsigned index=INDEX_IS_NOT_USED);

    virtual ~AbstractTetrahedralElement()
    {}

    c_vector<double, SPACE_DIM> CalculateCentroid() const;

    void CalculateWeightedDirection(c_vector<double, SPACE_DIM>& rWeightedDirection, double& rJacobianDeterminant);

    void GetStiffnessMatrixGlobalIndices(unsigned problemDim, unsigned* pIndices) const;
};

#include <cassert>

template<unsigned SPACE_DIM>
AbstractTetrahedralElement<0, SPACE_DIM>::AbstractTetrahedralElement(unsigned index, const std::vector<Node<SPACE_DIM>*>& rNodes)
    : AbstractElement<0, SPACE_DIM>(index, rNodes)
{
    // Sanity checking
    //unsigned total_nodes = 1;
    assert(this->mNodes.size() == 1);
    assert(SPACE_DIM > 0);

    // This is so we know it's the first time of asking
    // Create Jacobian
    c_vector<double, SPACE_DIM> weighted_direction;
    double det;
    
    CalculateWeightedDirection(weighted_direction, det);

    // If determinant < 0 then element nodes are listed clockwise.
    // We want them anticlockwise.
    assert(det > 0.0);
}

template<unsigned SPACE_DIM>
AbstractTetrahedralElement<0, SPACE_DIM>::AbstractTetrahedralElement(unsigned index)
    : AbstractElement<0, SPACE_DIM>(index)
{
}

template<unsigned SPACE_DIM>
void AbstractTetrahedralElement<0, SPACE_DIM>::CalculateWeightedDirection(
        c_vector<double, SPACE_DIM>& rWeightedDirection,
        double& rJacobianDeterminant)
{
    assert(SPACE_DIM > 0);

    // End point of a line
    rWeightedDirection = zero_vector<double>(SPACE_DIM);
    rWeightedDirection(0) = 1.0;

    rJacobianDeterminant = 1.0;
}

template<unsigned SPACE_DIM>
c_vector<double, SPACE_DIM> AbstractTetrahedralElement<0, SPACE_DIM>::CalculateCentroid() const
{
    c_vector<double, SPACE_DIM> centroid = this->mNodes[0]->rGetLocation();
    return centroid;
}

template<unsigned SPACE_DIM>
void AbstractTetrahedralElement<0, SPACE_DIM>::GetStiffnessMatrixGlobalIndices(unsigned problemDim, unsigned* pIndices) const
{
    for (unsigned local_index=0; local_index<1; local_index++)
    {
        unsigned node = this->GetNodeGlobalIndex(local_index);

        for (unsigned problem_index=0; problem_index<problemDim; problem_index++)
        {
            //std::cout << local_index*problemDim + problem_index << std::endl;
            pIndices[local_index*problemDim + problem_index] = node*problemDim + problem_index;
        }
    }
}

#endif //_ABSTRACTTETRAHEDRALELEMENT_HPP_

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