gridadaptinitializationindicator.hh

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#ifndef DUMUX_GRIDADAPTINITIALIZATIONINDICATOR_HH
#define DUMUX_GRIDADAPTINITIALIZATIONINDICATOR_HH
 
#include "properties.hh"
 
#include <dune/common/dynvector.hh>
namespace Dumux
{
template<class TypeTag>
class GridAdaptInitializationIndicator
{
private:
    using Problem = GetPropType<TypeTag, Properties::Problem>;
    using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using Element = typename GridView::Traits::template Codim<0>::Entity;
    using Intersection = typename GridView::Intersection;
 
    using AdaptionIndicator = GetPropType<TypeTag, Properties::AdaptionIndicator>;
 
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
 
    enum
        {
            dim = GridView::dimension,
            dimWorld = GridView::dimensionworld,
            numEq = getPropValue<TypeTag, Properties::NumEq>(),
            numPhases = getPropValue<TypeTag, Properties::NumPhases>()
        };
 
    enum
        {
            refineCell = 1,
            coarsenCell = -1
        };
 
    using LocalPosition = Dune::FieldVector<Scalar, dim>;
    using LocalPositionFace = Dune::FieldVector<Scalar, dim-1>;
    using GlobalPosition = Dune::FieldVector<Scalar, dimWorld>;
 
    void virtualHierarchicSourceSearch_(PrimaryVariables &source, const Element& element)
    {
        int level = element.level();
 
        if (level == maxAllowedLevel_)
        {
            GlobalPosition globalPos = element.geometry().center();
            problem_.sourceAtPos(source, globalPos);
 
            return;
        }
 
        unsigned int numRefine = maxAllowedLevel_ - level;
        int numCheckCoords = pow(2, numRefine);
 
        LocalPosition localPos(0.0);
        GlobalPosition globalPosCheck(0.0);
        Scalar halfInterval = (1.0/double(numCheckCoords))/2.;
 
        PrimaryVariables sourceCheck(0.0);
 
        using std::abs;
        for (int i = 1; i <= numCheckCoords; i++)
        {
            for (int j = 1; j <= numCheckCoords; j++)
            {
                localPos[0] = double(i)/double(numCheckCoords) - halfInterval;
                localPos[1] = double(j)/double(numCheckCoords) - halfInterval;
                if (dim == 2)
                {
                    globalPosCheck = element.geometry().global(localPos);
                    problem_.sourceAtPos(sourceCheck, globalPosCheck);
 
                    for (int eqIdx = 0; eqIdx < numEq; eqIdx++)
                    {
                        if (abs(sourceCheck[eqIdx]) > abs(source[eqIdx]))
                        {
                            source[eqIdx] = sourceCheck[eqIdx];
                        }
                    }
                }
                else if (dim == 3)
                {
                    for (int k = 1; k <= numCheckCoords; k++)
                    {
                        localPos[2] = double(k)/double(numCheckCoords) - halfInterval;
                        globalPosCheck = element.geometry().global(localPos);
                        problem_.sourceAtPos(sourceCheck, globalPosCheck);
 
                        for (int eqIdx = 0; eqIdx < numEq; eqIdx++)
                        {
                            if (abs(sourceCheck[eqIdx]) > abs(source[eqIdx]))
                            {
                                source[eqIdx] = sourceCheck[eqIdx];
                            }
                        }
                    }
                }
            }
        }
    }
 
    void virtualHierarchicBCSearch_(BoundaryTypes &bcTypes, PrimaryVariables &values, const Element& element, const Intersection& intersection)
    {
        int level = element.level();
 
        if (level == maxAllowedLevel_)
        {
            GlobalPosition globalPos = intersection.geometry().center();
            problem_.boundaryTypesAtPos(bcTypes, globalPos);
 
            if (refineAtFluxBC_)
            {
                for (int i = 0; i < numEq; i++)
                {
                    if (bcTypes.isNeumann(i))
                    {
                        PrimaryVariables fluxes;
                        problem_.neumannAtPos(fluxes, globalPos);
 
                        values += fluxes;
                    }
                }
            }
            return;
        }
 
        unsigned int numRefine = maxAllowedLevel_ - level;
        int numCheckCoords = pow(2, numRefine);
 
        LocalPositionFace localPos(0.0);
        GlobalPosition globalPosCheck(0.0);
        Scalar halfInterval = (1.0/double(numCheckCoords))/2.;
 
        PrimaryVariables fluxCheck(0.0);
 
        for (int i = 1; i <= numCheckCoords; i++)
        {
            localPos[0] = double(i)/double(numCheckCoords) - halfInterval;
            if (dim == 2)
            {
                globalPosCheck = intersection.geometry().global(localPos);
                problem_.boundaryTypesAtPos(bcTypes, globalPosCheck);
 
                for (int eqIdx = 0; eqIdx < numEq; eqIdx++)
                {
                    if (refineAtDirichletBC_ && bcTypes.isDirichlet(eqIdx))
                    {
                        return;
                    }
                    else if (refineAtFluxBC_ && bcTypes.isNeumann(eqIdx))
                    {
                        problem_.neumannAtPos(fluxCheck, globalPosCheck);
 
                        values += fluxCheck;
                    }
                }
            }
            else if (dim == 3)
            {
                for (int k = 1; k <= numCheckCoords; k++)
                {
                    localPos[1] = double(k)/double(numCheckCoords) - halfInterval;
                    globalPosCheck = intersection.geometry().global(localPos);
 
                    problem_.boundaryTypesAtPos(bcTypes, globalPosCheck);
 
 
                    for (int eqIdx = 0; eqIdx < numEq; eqIdx++)
                    {
                        if (refineAtDirichletBC_ && bcTypes.isDirichlet(eqIdx))
                        {
                            return;
                        }
                        else if (refineAtFluxBC_ && bcTypes.isNeumann(eqIdx))
                        {
                            problem_.neumannAtPos(fluxCheck, globalPosCheck);
 
                            values += fluxCheck;
                        }
 
                    }
                }
            }
        }
    }
 
 
public:
    void calculateIndicator()
    {
        //First Adapt for boundary conditions and sources to get a correct pressure solution
        if (nextMaxLevel_ == maxAllowedLevel_)
            adaptionIndicator_.calculateIndicator();
 
        // prepare an indicator for refinement
        indicatorVector_.resize(problem_.variables().cellDataGlobal().size());
 
        indicatorVector_ = coarsenCell;
 
        if (!enableInitializationIndicator_)
            return;
 
        // 1) calculate Indicator -> min, maxvalues
        // Schleife über alle Leaf-Elemente
        using std::abs;
        using std::max;
        using std::min;
        for (const auto& element : elements(problem_.gridView()))
        {
            int globalIdxI = problem_.variables().index(element);
 
            int level = element.level();
            maxLevel_ = max(level, maxLevel_);
 
            if (level < minAllowedLevel_)
            {
                nextMaxLevel_ = min(max(level + 1, nextMaxLevel_), maxAllowedLevel_);
                indicatorVector_[globalIdxI] = refineCell;
                continue;
            }
 
            if (refineAtSource_)
            {
                PrimaryVariables source(0.0);
                virtualHierarchicSourceSearch_(source, element);
                for (int i = 0; i < numEq; i++)
                {
                    if (abs(source[i]) > 1e-10)
                    {
                        nextMaxLevel_ = min(max(level + 1, nextMaxLevel_), maxAllowedLevel_);
                        indicatorVector_[globalIdxI] = refineCell;
                        break;
                    }
                }
            }
 
            if (indicatorVector_[globalIdxI] != refineCell && (refineAtDirichletBC_ || refineAtFluxBC_))
            {
                // Berechne Verfeinerungsindikator an allen Zellen
                for (const auto& intersection : intersections(problem_.gridView(), element))
                {
                    if (intersection.boundary() && indicatorVector_[globalIdxI] != refineCell)
                    {
                        BoundaryTypes bcTypes;
                        PrimaryVariables values(0.0);
 
                        virtualHierarchicBCSearch_(bcTypes, values, element, intersection);
 
 
                        for (int i = 0; i < numEq; i++)
                        {
                            if (bcTypes.isDirichlet(i) && refineAtDirichletBC_)
                            {
                                nextMaxLevel_ = min(max(level + 1, nextMaxLevel_), maxAllowedLevel_);
                                indicatorVector_[globalIdxI] = refineCell;
                                break;
                            }
                        }
                        for (int j = 0; j < numPhases; j++)
                        {
                            if (abs(values[j]) > 1e-10)
                            {
                                nextMaxLevel_ = min(max(level + 1, nextMaxLevel_), maxAllowedLevel_);
                                indicatorVector_[globalIdxI] = refineCell;
                                break;
                            }
 
                        }
                    }
                }
            }
        }
    }
 
    bool refine(const Element& element)
    {
        int idx = problem_.elementMapper().index(element);
 
        if (indicatorVector_[idx] == refineCell)
            return true;
        else if (maxLevel_ == maxAllowedLevel_)
            return adaptionIndicator_.refine(element);
        else
            return false;
    }
 
    bool coarsen(const Element& element)
    {
        int idx = problem_.elementMapper().index(element);
 
        if (indicatorVector_[idx] == coarsenCell && maxLevel_ < maxAllowedLevel_)
            return true;
        else if (indicatorVector_[idx] == coarsenCell && !adaptionIndicator_.refine(element))
            return true;
        else
            return false;
    }
 
    int maxLevel()
    {
        return maxLevel_;
    }
 
    void init()
    {}
 
    bool initializeModel()
    {
        return nextMaxLevel_ == maxAllowedLevel_;
    }
 
    GridAdaptInitializationIndicator(Problem& problem, AdaptionIndicator& adaptionIndicator):
        problem_(problem), adaptionIndicator_(adaptionIndicator), maxLevel_(0), nextMaxLevel_(0)
    {
        minAllowedLevel_ = getParam<int>("GridAdapt.MinLevel");
        maxAllowedLevel_ = getParam<int>("GridAdapt.MaxLevel");
        enableInitializationIndicator_ = getParam<bool>("GridAdapt.EnableInitializationIndicator");
        refineAtDirichletBC_ = getParam<bool>("GridAdapt.RefineAtDirichletBC");
        refineAtFluxBC_ = getParam<bool>("GridAdapt.RefineAtFluxBC");
        refineAtSource_ = getParam<bool>("GridAdapt.RefineAtSource");
 
        if (!refineAtDirichletBC_ && !refineAtFluxBC_ && !refineAtSource_)
        {
            nextMaxLevel_ = maxAllowedLevel_;
            maxLevel_ = maxAllowedLevel_;
        }
    }
 
private:
    Problem& problem_;
    AdaptionIndicator& adaptionIndicator_;
    Dune::DynamicVector<int> indicatorVector_;
    int maxLevel_;
    int nextMaxLevel_;
    int minAllowedLevel_; 
    int maxAllowedLevel_; 
    bool enableInitializationIndicator_;
    bool refineAtDirichletBC_;
    bool refineAtFluxBC_;
    bool refineAtSource_;
};
}
#endif