1p_richards/problem_root.hh

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#ifndef DUMUX_ROOT_PROBLEM_HH
#define DUMUX_ROOT_PROBLEM_HH
 
#include <dune/foamgrid/foamgrid.hh>
 
#include <dumux/common/parameters.hh>
#include <dumux/common/properties.hh>
#include <dumux/discretization/cctpfa.hh>
 
#include <dumux/porousmediumflow/1p/model.hh>
#include <dumux/porousmediumflow/problem.hh>
#include <dumux/porousmediumflow/1p/incompressiblelocalresidual.hh>
 
#include <dumux/material/components/simpleh2o.hh>
#include <dumux/material/fluidsystems/1pliquid.hh>
 
#include "spatialparams_root.hh"
 
namespace Dumux {
// forward declaration
template <class TypeTag> class RootProblem;
 
namespace Properties {
 
// Create new type tags
namespace TTag {
struct Root { using InheritsFrom = std::tuple<OneP, CCTpfaModel>; };
} // end namespace TTag
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::Root> { using type = Dune::FoamGrid<1, 3>; };
 
template<class TypeTag>
struct EnableGridGeometryCache<TypeTag, TTag::Root> { static constexpr bool value = true; };
template<class TypeTag>
struct EnableGridVolumeVariablesCache<TypeTag, TTag::Root> { static constexpr bool value = true; };
template<class TypeTag>
struct EnableGridFluxVariablesCache<TypeTag, TTag::Root> { static constexpr bool value = true; };
template<class TypeTag>
struct SolutionDependentAdvection<TypeTag, TTag::Root> { static constexpr bool value = false; };
template<class TypeTag>
struct SolutionDependentMolecularDiffusion<TypeTag, TTag::Root> { static constexpr bool value = false; };
template<class TypeTag>
struct SolutionDependentHeatConduction<TypeTag, TTag::Root> { static constexpr bool value = false; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::Root> { using type = RootProblem<TypeTag>; };
 
// the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::Root>
{
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = FluidSystems::OnePLiquid<Scalar, Components::SimpleH2O<Scalar> >;
};
 
// Set the problem property
template<class TypeTag>
struct LocalResidual<TypeTag, TTag::Root> { using type = OnePIncompressibleLocalResidual<TypeTag>; };
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::Root>
{
    using type = RootSpatialParams<GetPropType<TypeTag, Properties::GridGeometry>,
                                   GetPropType<TypeTag, Properties::Scalar>>;
};
} // end namespace Properties
 
template <class TypeTag>
class RootProblem : 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 NeumannFluxes = GetPropType<TypeTag, Properties::NumEqVector>;
    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 SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace;
    using GlobalPosition = typename GridGeometry::GlobalCoordinate;
    using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
    using GridVariables = GetPropType<TypeTag, Properties::GridVariables>;
    using Element = typename GridView::template Codim<0>::Entity;
    using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>;
 
public:
 
    template<class SpatialParams>
    RootProblem(std::shared_ptr<const GridGeometry> gridGeometry,
                std::shared_ptr<SpatialParams> spatialParams,
                std::shared_ptr<CouplingManager> couplingManager)
    : ParentType(gridGeometry, spatialParams, "Root")
    , couplingManager_(couplingManager)
    {
        // read parameters from input file
        name_  =  getParam<std::string>("Vtk.OutputName") + "_" + getParamFromGroup<std::string>(this->paramGroup(), "Problem.Name");
        transpirationRate_ = getParam<Scalar>("BoundaryConditions.TranspirationRate");
    }
 
    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 + 10.0; }
 
    // \}
    // \{
 
    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
    {
        BoundaryTypes values;
        values.setAllNeumann();
        return values;
    }
 
    PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const
    { return initialAtPos(globalPos); }
 
 
    template<class ElementVolumeVariables, class ElementFluxVarsCache>
    NeumannFluxes neumann(const Element& element,
                          const FVElementGeometry& fvGeometry,
                          const ElementVolumeVariables& elemVolvars,
                          const ElementFluxVarsCache& elemFluxVarsCache,
                          const SubControlVolumeFace& scvf) const
    {
        NeumannFluxes values(0.0);
        if (scvf.center()[2] + eps_ > this->gridGeometry().bBoxMax()[2])
        {
            const auto r = this->spatialParams().radius(scvf.insideScvIdx());
            values[Indices::conti0EqIdx] = transpirationRate_/(M_PI*r*r)/scvf.area();
        }
        return values;
 
    }
 
    // \}
 
    // \{
 
    void addPointSources(std::vector<PointSource>& pointSources) const
    { pointSources = this->couplingManager().lowDimPointSources(); }
 
    template<class ElementVolumeVariables>
    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 pressure3D = this->couplingManager().bulkPriVars(source.id())[Indices::pressureIdx];
        const Scalar pressure1D = this->couplingManager().lowDimPriVars(source.id())[Indices::pressureIdx];
 
        const auto lowDimElementIdx = this->couplingManager().pointSourceData(source.id()).lowDimElementIdx();
        const Scalar Kr = this->spatialParams().Kr(lowDimElementIdx);
        const Scalar rootRadius = this->spatialParams().radius(lowDimElementIdx);
 
        // sink defined as radial flow Jr * density [m^2 s-1]* [kg m-3]
        const auto density = 1000;
        const Scalar sourceValue = 2* M_PI *rootRadius * Kr *(pressure3D - pressure1D)*density;
        source = sourceValue*source.quadratureWeight()*source.integrationElement();
    }
 
    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    { return PrimaryVariables(0.0); }
 
    // \}
 
    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 (root): " << source << " (kg/s) / "
                  <<                           source*3600*24*1000 << " (g/day)" << '\n';
    }
 
    template<class VtkOutputModule>
    void addVtkOutputFields(VtkOutputModule& vtk) const
    {
        vtk.addField(this->spatialParams().getRadii(), "radius");
    }
 
    const CouplingManager& couplingManager() const
    { return *couplingManager_; }
 
private:
    Scalar transpirationRate_;
 
    static constexpr Scalar eps_ = 1.5e-7;
    std::string name_;
 
    std::shared_ptr<CouplingManager> couplingManager_;
};
 
} // end namespace Dumux
 
#endif