test/porousmediumflow/1pnc/implicit/1p2c/nonisothermal/conduction/problem.hh

Go to the documentation of this file.

// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
// vi: set et ts=4 sw=4 sts=4:
/*****************************************************************************
 *   See the file COPYING for full copying permissions.                      *
 *                                                                           *
 *   This program is free software: you can redistribute it and/or modify    *
 *   it under the terms of the GNU General Public License as published by    *
 *   the Free Software Foundation, either version 3 of the License, or       *
 *   (at your option) any later version.                                     *
 *                                                                           *
 *   This program 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 General Public License for more details.                            *
 *                                                                           *
 *   You should have received a copy of the GNU General Public License       *
 *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
 *****************************************************************************/
#ifndef DUMUX_1P2CNI_CONDUCTION_TEST_PROBLEM_HH
#define DUMUX_1P2CNI_CONDUCTION_TEST_PROBLEM_HH
 
#if HAVE_UG
#include <dune/grid/uggrid.hh>
#endif
#include <dune/grid/yaspgrid.hh>
 
#include <dumux/discretization/elementsolution.hh>
#include <dumux/discretization/cctpfa.hh>
#include <dumux/discretization/ccmpfa.hh>
#include <dumux/discretization/box.hh>
#include <dumux/porousmediumflow/1pnc/model.hh>
#include <dumux/porousmediumflow/problem.hh>
 
#include <dumux/material/fluidsystems/1padapter.hh>
#include <dumux/material/fluidsystems/h2on2.hh>
#include <dumux/material/components/h2o.hh>
#include "../../spatialparams.hh"
 
namespace Dumux {
 
template <class TypeTag>
class OnePTwoCNIConductionProblem;
 
namespace Properties {
// Create new type tags
namespace TTag {
struct OnePTwoCNIConduction { using InheritsFrom = std::tuple<OnePNCNI>; };
struct OnePTwoCNIConductionCCTpfa { using InheritsFrom = std::tuple<OnePTwoCNIConduction, CCTpfaModel>; };
struct OnePTwoCNIConductionCCMpfa { using InheritsFrom = std::tuple<OnePTwoCNIConduction, CCMpfaModel>; };
struct OnePTwoCNIConductionBox { using InheritsFrom = std::tuple<OnePTwoCNIConduction, BoxModel>; };
} // end namespace TTag
 
// Set the grid type
#if HAVE_UG
template<class TypeTag>
struct Grid<TypeTag, TTag::OnePTwoCNIConduction> { using type = Dune::UGGrid<2>; };
#else
template<class TypeTag>
struct Grid<TypeTag, TTag::OnePTwoCNIConduction> { using type = Dune::YaspGrid<2>; };
#endif
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::OnePTwoCNIConduction> { using type = OnePTwoCNIConductionProblem<TypeTag>; };
 
// Set fluid configuration
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::OnePTwoCNIConduction>
{
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using H2ON2 = FluidSystems::H2ON2<Scalar, FluidSystems::H2ON2DefaultPolicy</*simplified=*/true>>;
    using type = FluidSystems::OnePAdapter<H2ON2, H2ON2::liquidPhaseIdx>;
};
 
// Set the spatial parameters
template<class TypeTag>
struct SpatialParams<TypeTag, TTag::OnePTwoCNIConduction>
{
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using type = OnePNCTestSpatialParams<GridGeometry, Scalar>;
};
 
// Define whether mole(true) or mass (false) fractions are used
template<class TypeTag>
struct UseMoles<TypeTag, TTag::OnePTwoCNIConduction> { static constexpr bool value = true; };
}
 
template <class TypeTag>
class OnePTwoCNIConductionProblem : public PorousMediumFlowProblem<TypeTag>
{
    using ParentType = PorousMediumFlowProblem<TypeTag>;
 
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
    using Element = typename GridView::template Codim<0>::Entity;
    using ThermalConductivityModel = GetPropType<TypeTag, Properties::ThermalConductivityModel>;
    using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
    using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>;
    using IapwsH2O = Components::H2O<Scalar>;
 
    // copy some indices for convenience
    enum
    {
        // indices of the primary variables
        pressureIdx = Indices::pressureIdx,
        temperatureIdx = Indices::temperatureIdx,
 
        N2Idx = FluidSystem::compIdx(FluidSystem::MultiPhaseFluidSystem::N2Idx)
    };
 
    static constexpr bool useMoles = getPropValue<TypeTag, Properties::UseMoles>();
    static const int dimWorld = GridView::dimensionworld;
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
 
public:
    OnePTwoCNIConductionProblem(std::shared_ptr<const GridGeometry> gridGeometry)
    : ParentType(gridGeometry), temperatureHigh_(300.0)
    {
        //initialize fluid system
        FluidSystem::init();
 
        // stating in the console whether mole or mass fractions are used
        if(useMoles)
            std::cout<<"problem uses mole fractions"<<std::endl;
        else
            std::cout<<"problem uses mass fractions"<<std::endl;
 
        temperatureExact_.resize(gridGeometry->numDofs(), 290.0);
    }
 
    const std::vector<Scalar>& getExactTemperature()
    {
        return temperatureExact_;
    }
 
    void updateExactTemperature(const SolutionVector& curSol, Scalar time)
    {
        const auto someElement = *(elements(this->gridGeometry().gridView()).begin());
 
        auto someElemSol = elementSolution(someElement, curSol, this->gridGeometry());
        const auto someInitSol = initialAtPos(someElement.geometry().center());
 
        auto someFvGeometry = localView(this->gridGeometry());
        someFvGeometry.bindElement(someElement);
        const auto someScv = *(scvs(someFvGeometry).begin());
 
        VolumeVariables volVars;
        volVars.update(someElemSol, *this, someElement, someScv);
 
        const auto porosity = this->spatialParams().porosity(someElement, someScv, someElemSol);
        const auto densityW = volVars.density();
        const auto heatCapacityW = IapwsH2O::liquidHeatCapacity(someInitSol[temperatureIdx], someInitSol[pressureIdx]);
        const auto densityS = volVars.solidDensity();
        const auto heatCapacityS = volVars.solidHeatCapacity();
        const auto storage = densityW*heatCapacityW*porosity + densityS*heatCapacityS*(1 - porosity);
        const auto effectiveThermalConductivity = ThermalConductivityModel::effectiveThermalConductivity(volVars);
        using std::max;
        time = max(time, 1e-10);
        for (const auto& element : elements(this->gridGeometry().gridView()))
        {
            auto fvGeometry = localView(this->gridGeometry());
            fvGeometry.bindElement(element);
 
            for (auto&& scv : scvs(fvGeometry))
            {
               auto globalIdx = scv.dofIndex();
               const auto& globalPos = scv.dofPosition();
               using std::erf;
               using std::sqrt;
               temperatureExact_[globalIdx] = temperatureHigh_ + (someInitSol[temperatureIdx] - temperatureHigh_)
                                              *erf(0.5*sqrt(globalPos[0]*globalPos[0]*storage/time/effectiveThermalConductivity));
 
            }
        }
    }
 
    // \{
 
    Scalar temperature() const
    { return 273.15 + 20; } // in [K]
 
    // \}
 
    // \{
 
    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
    {
        BoundaryTypes values;
 
        if(globalPos[0] < eps_ || globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_)
        {
            values.setAllDirichlet();
        }
        else
        {
            values.setAllNeumann();
        }
 
        return values;
    }
 
    PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
    {
        PrimaryVariables values = initial_(globalPos);
 
        // condition for the temperature at left boundary
        if (globalPos[0] < eps_)
            values[temperatureIdx] = temperatureHigh_;
 
        return values;
    }
 
    NumEqVector neumannAtPos(const GlobalPosition &globalPos) const
    { return NumEqVector(0.0); }
 
    // \}
 
    // \{
 
    NumEqVector sourceAtPos(const GlobalPosition &globalPos) const
    { return NumEqVector(0.0); }
 
    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
    { return initial_(globalPos); }
 
    // \}
private:
 
    // the internal method for the initial condition
    PrimaryVariables initial_(const GlobalPosition &globalPos) const
    {
        PrimaryVariables priVars;
        priVars[pressureIdx] = 1e5; // initial condition for the pressure
        priVars[N2Idx] = 1e-5;  // initial condition for the N2 molefraction
        priVars[temperatureIdx] = 290.;
        return priVars;
    }
        static constexpr Scalar eps_ = 1e-6;
        Scalar temperatureHigh_;
        std::vector<Scalar> temperatureExact_;
    };
 
} // end namespace Dumux
 
#endif