assembly/fvassembler.hh

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#ifndef DUMUX_FV_ASSEMBLER_HH
#define DUMUX_FV_ASSEMBLER_HH
 
#include <type_traits>
 
#include <dune/istl/matrixindexset.hh>
 
#include <dumux/common/properties.hh>
#include <dumux/common/timeloop.hh>
#include <dumux/discretization/method.hh>
#include <dumux/parallel/vectorcommdatahandle.hh>
 
#include "jacobianpattern.hh"
#include "diffmethod.hh"
#include "boxlocalassembler.hh"
#include "cclocalassembler.hh"
 
namespace Dumux {

template<class TypeTag, DiffMethod diffMethod, bool isImplicit = true>
class FVAssembler
{
    using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView;
    using LocalResidual = GetPropType<TypeTag, Properties::LocalResidual>;
    using Element = typename GridView::template Codim<0>::Entity;
    using TimeLoop = TimeLoopBase<GetPropType<TypeTag, Properties::Scalar>>;
    using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
 
    static constexpr DiscretizationMethod discMethod = GetPropType<TypeTag, Properties::GridGeometry>::discMethod;
    static constexpr bool isBox = discMethod == DiscretizationMethod::box;
 
    using ThisType = FVAssembler<TypeTag, diffMethod, isImplicit>;
    using LocalAssembler = std::conditional_t<isBox, BoxLocalAssembler<TypeTag, ThisType, diffMethod, isImplicit>,
                                                     CCLocalAssembler<TypeTag, ThisType, diffMethod, isImplicit>>;
 
public:
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using Problem = GetPropType<TypeTag, Properties::Problem>;
    using GridVariables = GetPropType<TypeTag, Properties::GridVariables>;
 
    using ResidualType = SolutionVector;

    FVAssembler(std::shared_ptr<const Problem> problem,
                std::shared_ptr<const GridGeometry> gridGeometry,
                std::shared_ptr<GridVariables> gridVariables)
    : problem_(problem)
    , gridGeometry_(gridGeometry)
    , gridVariables_(gridVariables)
    , timeLoop_()
    , isStationaryProblem_(true)
    {
        static_assert(isImplicit, "Explicit assembler for stationary problem doesn't make sense!");
    }

    [[deprecated("Please use constructor taking the previous solution instead. Will be removed after release 3.2!")]]
    FVAssembler(std::shared_ptr<const Problem> problem,
                std::shared_ptr<const GridGeometry> gridGeometry,
                std::shared_ptr<GridVariables> gridVariables,
                std::shared_ptr<const TimeLoop> timeLoop)
    : problem_(problem)
    , gridGeometry_(gridGeometry)
    , gridVariables_(gridVariables)
    , timeLoop_(timeLoop)
    , isStationaryProblem_(!timeLoop)
    {}

    FVAssembler(std::shared_ptr<const Problem> problem,
                std::shared_ptr<const GridGeometry> gridGeometry,
                std::shared_ptr<GridVariables> gridVariables,
                std::shared_ptr<const TimeLoop> timeLoop,
                const SolutionVector& prevSol)
    : problem_(problem)
    , gridGeometry_(gridGeometry)
    , gridVariables_(gridVariables)
    , timeLoop_(timeLoop)
    , prevSol_(&prevSol)
    , isStationaryProblem_(!timeLoop)
    {}

    template<class PartialReassembler = DefaultPartialReassembler>
    void assembleJacobianAndResidual(const SolutionVector& curSol, const PartialReassembler* partialReassembler = nullptr)
    {
        checkAssemblerState_();
        resetJacobian_(partialReassembler);
        resetResidual_();
 
        assemble_([&](const Element& element)
        {
            LocalAssembler localAssembler(*this, element, curSol);
            localAssembler.assembleJacobianAndResidual(*jacobian_, *residual_, *gridVariables_, partialReassembler);
        });
 
        enforcePeriodicConstraints_(*jacobian_, *residual_, curSol, *gridGeometry_);
    }

    void assembleJacobian(const SolutionVector& curSol)
    {
        checkAssemblerState_();
        resetJacobian_();
 
        assemble_([&](const Element& element)
        {
            LocalAssembler localAssembler(*this, element, curSol);
            localAssembler.assembleJacobianAndResidual(*jacobian_, *gridVariables_);
        });
    }

    void assembleResidual(const SolutionVector& curSol)
    {
        resetResidual_();
        assembleResidual(*residual_, curSol);
    }

    void assembleResidual(ResidualType& r, const SolutionVector& curSol) const
    {
        checkAssemblerState_();
 
        // update the grid variables for the case of active caching
        gridVariables_->update(curSol);
 
        assemble_([&](const Element& element)
        {
            LocalAssembler localAssembler(*this, element, curSol);
            localAssembler.assembleResidual(r);
        });
    }

    Scalar residualNorm(const SolutionVector& curSol) const
    {
        ResidualType residual(numDofs());
        assembleResidual(residual, curSol);
 
        // for box communicate the residual with the neighboring processes
        if (isBox && gridView().comm().size() > 1)
        {
            using VertexMapper = typename GridGeometry::VertexMapper;
            VectorCommDataHandleSum<VertexMapper, SolutionVector, GridGeometry::GridView::dimension>
                sumResidualHandle(gridGeometry_->vertexMapper(), residual);
            gridView().communicate(sumResidualHandle,
                                   Dune::InteriorBorder_InteriorBorder_Interface,
                                   Dune::ForwardCommunication);
        }
 
        // calculate the square norm of the residual
        Scalar result2 = residual.two_norm2();
        if (gridView().comm().size() > 1)
            result2 = gridView().comm().sum(result2);
 
        using std::sqrt;
        return sqrt(result2);
    }

    void setLinearSystem(std::shared_ptr<JacobianMatrix> A,
                         std::shared_ptr<SolutionVector> r)
    {
        jacobian_ = A;
        residual_ = r;
 
        // check and/or set the BCRS matrix's build mode
        if (jacobian_->buildMode() == JacobianMatrix::BuildMode::unknown)
            jacobian_->setBuildMode(JacobianMatrix::random);
        else if (jacobian_->buildMode() != JacobianMatrix::BuildMode::random)
            DUNE_THROW(Dune::NotImplemented, "Only BCRS matrices with random build mode are supported at the moment");
 
        setJacobianPattern();
        setResidualSize();
    }

    void setLinearSystem()
    {
        jacobian_ = std::make_shared<JacobianMatrix>();
        jacobian_->setBuildMode(JacobianMatrix::random);
        residual_ = std::make_shared<SolutionVector>();
 
        setJacobianPattern();
        setResidualSize();
    }

    void setJacobianPattern()
    {
        // resize the jacobian and the residual
        const auto numDofs = this->numDofs();
        jacobian_->setSize(numDofs, numDofs);
 
        // create occupation pattern of the jacobian
        const auto occupationPattern = getJacobianPattern<isImplicit>(gridGeometry());
 
        // export pattern to jacobian
        occupationPattern.exportIdx(*jacobian_);
    }

    void setResidualSize()
    { residual_->resize(numDofs()); }

    std::size_t numDofs() const
    { return gridGeometry_->numDofs(); }

    const Problem& problem() const
    { return *problem_; }

    const GridGeometry& gridGeometry() const
    { return *gridGeometry_; }

    const GridView& gridView() const
    { return gridGeometry().gridView(); }

    GridVariables& gridVariables()
    { return *gridVariables_; }

    const GridVariables& gridVariables() const
    { return *gridVariables_; }

    JacobianMatrix& jacobian()
    { return *jacobian_; }

    SolutionVector& residual()
    { return *residual_; }

    const SolutionVector& prevSol() const
    { return *prevSol_; }

    void setTimeLoop(std::shared_ptr<const TimeLoop> timeLoop)
    { timeLoop_ = timeLoop; isStationaryProblem_ = !static_cast<bool>(timeLoop); }

    void setPreviousSolution(const SolutionVector& u)
    { prevSol_ = &u;  }

    bool isStationaryProblem() const
    { return isStationaryProblem_; }

    LocalResidual localResidual() const
    { return LocalResidual(problem_.get(), timeLoop_.get()); }

    void updateGridVariables(const SolutionVector &cursol)
    {
        gridVariables().update(cursol);
    }

    void resetTimeStep(const SolutionVector &cursol)
    {
        gridVariables().resetTimeStep(cursol);
    }
 
private:
    // reset the residual vector to 0.0
    void resetResidual_()
    {
        if(!residual_)
        {
            residual_ = std::make_shared<SolutionVector>();
            setResidualSize();
        }
 
        (*residual_) = 0.0;
    }
 
    // reset the Jacobian matrix to 0.0
    template <class PartialReassembler = DefaultPartialReassembler>
    void resetJacobian_(const PartialReassembler *partialReassembler = nullptr)
    {
        if(!jacobian_)
        {
            jacobian_ = std::make_shared<JacobianMatrix>();
            jacobian_->setBuildMode(JacobianMatrix::random);
            setJacobianPattern();
        }
 
        if (partialReassembler)
            partialReassembler->resetJacobian(*this);
        else
            *jacobian_ = 0.0;
    }
 
    // check if the assembler is in a correct state for assembly
    void checkAssemblerState_() const
    {
        if (!isStationaryProblem_ && !prevSol_)
            DUNE_THROW(Dune::InvalidStateException, "Assembling instationary problem but previous solution was not set!");
    }

    template<typename AssembleElementFunc>
    void assemble_(AssembleElementFunc&& assembleElement) const
    {
        // a state that will be checked on all processes
        bool succeeded = false;
 
        // try assembling using the local assembly function
        try
        {
            // let the local assembler add the element contributions
            for (const auto& element : elements(gridView()))
                assembleElement(element);
 
            // if we get here, everything worked well on this process
            succeeded = true;
        }
        // throw exception if a problem ocurred
        catch (NumericalProblem &e)
        {
            std::cout << "rank " << gridView().comm().rank()
                      << " caught an exception while assembling:" << e.what()
                      << "\n";
            succeeded = false;
        }
 
        // make sure everything worked well on all processes
        if (gridView().comm().size() > 1)
            succeeded = gridView().comm().min(succeeded);
 
        // if not succeeded rethrow the error on all processes
        if (!succeeded)
            DUNE_THROW(NumericalProblem, "A process did not succeed in linearizing the system");
    }
 
    template<class GG> std::enable_if_t<GG::discMethod == DiscretizationMethod::box, void>
    enforcePeriodicConstraints_(JacobianMatrix& jac, SolutionVector& res, const SolutionVector& curSol, const GG& gridGeometry)
    {
        for (const auto& m : gridGeometry.periodicVertexMap())
        {
            if (m.first < m.second)
            {
                // add the second row to the first
                res[m.first] += res[m.second];
                const auto end = jac[m.second].end();
                for (auto it = jac[m.second].begin(); it != end; ++it)
                    jac[m.first][it.index()] += (*it);
 
                // enforce constraint in second row
                res[m.second] = curSol[m.second] - curSol[m.first];
                for (auto it = jac[m.second].begin(); it != end; ++it)
                    (*it) = it.index() == m.second ? 1.0 : it.index() == m.first ? -1.0 : 0.0;
            }
        }
    }
 
    template<class GG> std::enable_if_t<GG::discMethod != DiscretizationMethod::box, void>
    enforcePeriodicConstraints_(JacobianMatrix& jac, SolutionVector& res, const SolutionVector& curSol, const GG& gridGeometry) {}

    std::shared_ptr<const Problem> problem_;

    std::shared_ptr<const GridGeometry> gridGeometry_;

    std::shared_ptr<GridVariables> gridVariables_;

    std::shared_ptr<const TimeLoop> timeLoop_;

    const SolutionVector* prevSol_ = nullptr;

    bool isStationaryProblem_;

    std::shared_ptr<JacobianMatrix> jacobian_;
    std::shared_ptr<SolutionVector> residual_;
};
 
} // namespace Dumux
 
#endif