problem_bloodflow.hh

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#ifndef DUMUX_BLOOD_FLOW_PROBLEM_HH
#define DUMUX_BLOOD_FLOW_PROBLEM_HH
 
#include <dune/foamgrid/foamgrid.hh>
 
#include <dumux/common/parameters.hh>
#include <dumux/common/properties.hh>
#include <dumux/discretization/cctpfa.hh>
#include <dumux/discretization/box.hh>
 
#include <dumux/porousmediumflow/1p/model.hh>
#include <dumux/porousmediumflow/problem.hh>
#include <dumux/porousmediumflow/1p/incompressiblelocalresidual.hh>
 
#include <dumux/material/components/constant.hh>
#include <dumux/material/fluidsystems/1pliquid.hh>
 
#include <dumux/multidomain/embedded/couplingmanager1d3d.hh> // for coupling mode
 
#include "spatialparams_bloodflow.hh"
 
namespace Dumux {
// forward declaration
template <class TypeTag> class BloodFlowProblem;
 
namespace Properties {
 
// Create new type tags
namespace TTag {
struct BloodFlow { using InheritsFrom = std::tuple<OneP>; };
struct BloodFlowCC { using InheritsFrom = std::tuple<BloodFlow, CCTpfaModel>; };
struct BloodFlowBox { using InheritsFrom = std::tuple<BloodFlow, BoxModel>; };
} // end namespace TTag
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::BloodFlow> { using type = Dune::FoamGrid<1, 3>; };
 
template<class TypeTag>
struct EnableGridGeometryCache<TypeTag, TTag::BloodFlow> { static constexpr bool value = true; };
template<class TypeTag>
struct EnableGridVolumeVariablesCache<TypeTag, TTag::BloodFlow> { static constexpr bool value = true; };
template<class TypeTag>
struct EnableGridFluxVariablesCache<TypeTag, TTag::BloodFlow> { static constexpr bool value = true; };
template<class TypeTag>
struct SolutionDependentAdvection<TypeTag, TTag::BloodFlow> { static constexpr bool value = false; };
template<class TypeTag>
struct SolutionDependentMolecularDiffusion<TypeTag, TTag::BloodFlow> { static constexpr bool value = false; };
template<class TypeTag>
struct SolutionDependentHeatConduction<TypeTag, TTag::BloodFlow> { static constexpr bool value = false; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::BloodFlow> { using type = BloodFlowProblem<TypeTag>; };
 
// the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::BloodFlow>
{
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = FluidSystems::OnePLiquid<Scalar, Components::Constant<1, Scalar> >;
};
 
// Set the problem property
template<class TypeTag>
struct LocalResidual<TypeTag, TTag::BloodFlow> { using type = OnePIncompressibleLocalResidual<TypeTag>; };
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::BloodFlow>
{
    using type = BloodFlowSpatialParams<GetPropType<TypeTag, Properties::GridGeometry>,
                                        GetPropType<TypeTag, Properties::Scalar>>;
};
} // end namespace Properties
 
template <class TypeTag>
class BloodFlowProblem : public PorousMediumFlowProblem<TypeTag>
{
    using ParentType = PorousMediumFlowProblem<TypeTag>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using PointSource = GetPropType<TypeTag, Properties::PointSource>;
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using GridView = typename GridGeometry::GridView;
    using FVElementGeometry = typename GridGeometry::LocalView;
    using SubControlVolume = typename GridGeometry::SubControlVolume;
    using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
    using GridVariables = GetPropType<TypeTag, Properties::GridVariables>;
    using Element = typename GridView::template Codim<0>::Entity;
    using GlobalPosition = typename GridGeometry::GlobalCoordinate;
    using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>;
 
public:
    BloodFlowProblem(std::shared_ptr<const GridGeometry> gridGeometry,
                     std::shared_ptr<CouplingManager> couplingManager)
    : ParentType(gridGeometry, "Vessel")
    , couplingManager_(couplingManager)
    {
        //read parameters from input file
        name_  =  getParam<std::string>("Vtk.OutputName") + "_" + getParamFromGroup<std::string>(this->paramGroup(), "Problem.Name");
        p_in_ = getParam<Scalar>("BoundaryConditions1D.PressureInput");
        delta_p_ = getParam<Scalar>("BoundaryConditions1D.DeltaPressure");
        exactPressure_.resize(this->gridGeometry().numDofs());
 
        for (const auto& element : elements(this->gridGeometry().gridView()))
        {
            auto fvGeometry = localView(this->gridGeometry());
            fvGeometry.bindElement(element);
 
            for (auto&& scv : scvs(fvGeometry))
                exactPressure_[scv.dofIndex()] = exactSolution(scv.dofPosition());
        }
    }
 
    template<class ElementSolution>
    Scalar extrusionFactor(const Element &element,
                           const SubControlVolume &scv,
                           const ElementSolution& elemSol) const
    {
        const auto eIdx = this->gridGeometry().elementMapper().index(element);
        const auto radius = this->spatialParams().radius(eIdx);
        return M_PI*radius*radius;
    }
 
    // \{
 
    const std::string& name() const
    { return name_; }
 
    Scalar temperature() const
    { return 273.15 + 37.0; } // Body temperature
 
    // \}
    // \{
 
    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
    {
        BoundaryTypes values;
        values.setAllDirichlet();
        return values;
    }
 
    PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const
    {
        PrimaryVariables values;
        if(globalPos[2] > 0.5)
            values[Indices::pressureIdx] = p_in_;
        else
            values[Indices::pressureIdx] = p_in_-delta_p_;
        return values;
    }
 
 
    // \}
 
    // \{
 
    void addPointSources(std::vector<PointSource>& pointSources) const
    { pointSources = this->couplingManager().lowDimPointSources(); }
 
    template<class ElementVolumeVariables,
             bool enable = (CouplingManager::couplingMode == EmbeddedCouplingMode::kernel),
             std::enable_if_t<!enable, int> = 0>
    void pointSource(PointSource& source,
                     const Element &element,
                     const FVElementGeometry& fvGeometry,
                     const ElementVolumeVariables& elemVolVars,
                     const SubControlVolume &scv) const
    {
        // compute source at every integration point
        const Scalar pressure1D = this->couplingManager().lowDimPriVars(source.id())[Indices::pressureIdx];
        const Scalar pressure3D = this->couplingManager().bulkPriVars(source.id())[Indices::pressureIdx];
 
        // calculate the source
        const Scalar radius = this->couplingManager().radius(source.id());
        const Scalar beta = 2*M_PI/(2*M_PI + std::log(radius));
        const Scalar sourceValue = beta*(pressure3D - pressure1D);//*bulkVolVars.density();
 
        source = sourceValue*source.quadratureWeight()*source.integrationElement();
    }
 
    template<class ElementVolumeVariables,
             bool enable = (CouplingManager::couplingMode == EmbeddedCouplingMode::kernel),
             std::enable_if_t<enable, int> = 0>
    void pointSource(PointSource& source,
                     const Element &element,
                     const FVElementGeometry& fvGeometry,
                     const ElementVolumeVariables& elemVolVars,
                     const SubControlVolume &scv) const
    {
        static const Scalar kernelWidth = getParam<Scalar>("MixedDimension.KernelWidth");
        static const Scalar kernelFactor = std::log(kernelWidth)-9.0/10.0;
 
        // compute source at every integration point
        const Scalar pressure1D = this->couplingManager().lowDimPriVars(source.id())[Indices::pressureIdx];
        const Scalar pressure3D = this->couplingManager().bulkPriVars(source.id())[Indices::pressureIdx];
 
        // calculate the source
        const Scalar radius = this->couplingManager().radius(source.id());
        const Scalar beta = 2*M_PI/(2*M_PI + std::log(radius));
        const Scalar sourceValue = beta*(pressure3D / kernelFactor * std::log(radius) - pressure1D);//*bulkVolVars.density();
 
        source = sourceValue*source.quadratureWeight()*source.integrationElement();
    }
 
    template<class MatrixBlock, class VolumeVariables>
    void addSourceDerivatives(MatrixBlock& block,
                              const Element& element,
                              const FVElementGeometry& fvGeometry,
                              const VolumeVariables& curElemVolVars,
                              const SubControlVolume& scv) const
    {
        const auto eIdx = this->gridGeometry().elementMapper().index(element);
 
        auto key = std::make_pair(eIdx, 0);
        if (this->pointSourceMap().count(key))
        {
            // call the solDependent function. Herein the user might fill/add values to the point sources
            // we make a copy of the local point sources here
            auto pointSources = this->pointSourceMap().at(key);
 
            // add the point source values to the local residual (negative sign is convention for source term)
            for (const auto& source : pointSources)
                block[0][0] -= this->couplingManager().pointSourceDerivative(source, Dune::index_constant<1>{}, Dune::index_constant<1>{});
        }
    }
 
    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    { return PrimaryVariables(0.0); }
 
    // \}
 
    Scalar exactSolution(const GlobalPosition &globalPos) const
    { return 1 + globalPos[2]; }
 
    void computeSourceIntegral(const SolutionVector& sol, const GridVariables& gridVars)
    {
        PrimaryVariables source(0.0);
        for (const auto& element : elements(this->gridGeometry().gridView()))
        {
            auto fvGeometry = localView(this->gridGeometry());
            fvGeometry.bindElement(element);
 
            auto elemVolVars = localView(gridVars.curGridVolVars());
            elemVolVars.bindElement(element, fvGeometry, sol);
 
            for (auto&& scv : scvs(fvGeometry))
            {
                auto pointSources = this->scvPointSources(element, fvGeometry, elemVolVars, scv);
                pointSources *= scv.volume()*elemVolVars[scv].extrusionFactor();
                source += pointSources;
            }
        }
 
        std::cout << "Global integrated source (1D): " << source << '\n';
    }
 
    template<class VtkOutputModule>
    void addVtkOutputFields(VtkOutputModule& vtk) const
    {
        vtk.addField(exactPressure_, "exact pressure");
    }
 
    const CouplingManager& couplingManager() const
    { return *couplingManager_; }
 
private:
    std::vector<Scalar> exactPressure_;
 
    static constexpr Scalar eps_ = 1.5e-7;
    std::string name_;
 
    Scalar p_in_;
    Scalar delta_p_;
 
    std::shared_ptr<CouplingManager> couplingManager_;
};
 
} // end namespace Dumux
 
#endif