evalgradients.hh

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#ifndef DUMUX_DISCRETIZATION_EVAL_GRADIENTS_HH
#define DUMUX_DISCRETIZATION_EVAL_GRADIENTS_HH
 
#include <dune/localfunctions/lagrange/pqkfactory.hh>
#include <dune/common/exceptions.hh>
 
#include <dumux/common/typetraits/state.hh>
#include <dumux/common/typetraits/isvalid.hh>
#include <dumux/discretization/box/elementsolution.hh>
#include <dumux/discretization/cellcentered/elementsolution.hh>
#include <dumux/discretization/facecentered/diamond/elementsolution.hh>
#include <dumux/discretization/pq1bubble/elementsolution.hh>
 
#include "evalsolution.hh"
 
namespace Dumux {
 
// some implementation details
namespace Detail{
template<class Element, class GridGeometry, class CVFEElemSol>
auto evalCVFEGradients(const Element& element,
                       const typename Element::Geometry& geometry,
                       const GridGeometry& gridGeometry,
                       const CVFEElemSol& elemSol,
                       const typename Element::Geometry::GlobalCoordinate& globalPos,
                       bool ignoreState = false)
{
    // determine if all states are the same at all vertices
    using HasState = decltype(isValid(Detail::hasState())(elemSol[0]));
    bool allStatesEqual = ignoreState || Detail::allStatesEqual(elemSol, HasState{});
 
    if (allStatesEqual)
    {
        using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
 
        // evaluate gradients using the local finite element basis
        const auto& localBasis = gridGeometry.feCache().get(geometry.type()).localBasis();
 
        // evaluate the shape function gradients at the scv center
        using ShapeJacobian = typename std::decay_t< decltype(localBasis) >::Traits::JacobianType;
        const auto localPos = geometry.local(globalPos);
        std::vector< ShapeJacobian > shapeJacobian;
        localBasis.evaluateJacobian(localPos, shapeJacobian);
 
        // the inverse transposed of the jacobian matrix
        const auto jacInvT = geometry.jacobianInverseTransposed(localPos);
 
        // interpolate the gradients
        Dune::FieldVector<GlobalPosition, CVFEElemSol::PrimaryVariables::dimension> result( GlobalPosition(0.0) );
        for (int i = 0; i < shapeJacobian.size(); ++i)
        {
            // the global shape function gradient
            GlobalPosition gradN;
            jacInvT.mv(shapeJacobian[i][0], gradN);
 
            // add gradient to global privar gradients
            for (unsigned int pvIdx = 0; pvIdx < CVFEElemSol::PrimaryVariables::dimension; ++pvIdx)
            {
                GlobalPosition tmp(gradN);
                tmp *= elemSol[i][pvIdx];
                result[pvIdx] += tmp;
            }
        }
 
        return result;
    }
    else
    {
        DUNE_THROW(Dune::NotImplemented, "Element dofs have different phase states. Enforce calculation by setting ignoreState to true.");
    }
}
 
} // end namespace Detail
 
template<class Element, class FVElementGeometry, class PrimaryVariables>
auto evalGradients(const Element& element,
                   const typename Element::Geometry& geometry,
                   const typename FVElementGeometry::GridGeometry& gridGeometry,
                   const BoxElementSolution<FVElementGeometry, PrimaryVariables>& elemSol,
                   const typename Element::Geometry::GlobalCoordinate& globalPos,
                   bool ignoreState = false)
{
    return Detail::evalCVFEGradients(element, geometry, gridGeometry, elemSol, globalPos, ignoreState);
}
 
template<class Element, class FVElementGeometry, class PrimaryVariables>
auto evalGradients(const Element& element,
                   const typename Element::Geometry& geometry,
                   const typename FVElementGeometry::GridGeometry& gridGeometry,
                   const FaceCenteredDiamondElementSolution<FVElementGeometry, PrimaryVariables>& elemSol,
                   const typename Element::Geometry::GlobalCoordinate& globalPos,
                   bool ignoreState = false)
{
    return Detail::evalCVFEGradients(element, geometry, gridGeometry, elemSol, globalPos, ignoreState);
}
 
template<class Element, class FVElementGeometry, class PrimaryVariables>
auto evalGradients(const Element& element,
                   const typename Element::Geometry& geometry,
                   const typename FVElementGeometry::GridGeometry& gridGeometry,
                   const PQ1BubbleElementSolution<FVElementGeometry, PrimaryVariables>& elemSol,
                   const typename Element::Geometry::GlobalCoordinate& globalPos,
                   bool ignoreState = false)
{
    return Detail::evalCVFEGradients(element, geometry, gridGeometry, elemSol, globalPos, ignoreState);
}
 
template<class Element, class FVElementGeometry, class PrimaryVariables>
Dune::FieldVector<typename Element::Geometry::GlobalCoordinate, PrimaryVariables::dimension>
evalGradients(const Element& element,
              const typename Element::Geometry& geometry,
              const typename FVElementGeometry::GridGeometry& gridGeometry,
              const CCElementSolution<FVElementGeometry, PrimaryVariables>& elemSol,
              const typename Element::Geometry::GlobalCoordinate& globalPos)
{ DUNE_THROW(Dune::NotImplemented, "General gradient evaluation for cell-centered methods"); }
 
} // namespace Dumux
 
#endif