Implicit.C

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     \\/     M anipulation  |
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#include "Implicit.H"
#include "fixedValueFvsPatchField.H"
#include "fvmDdt.H"
#include "fvmDiv.H"
#include "fvmLaplacian.H"
#include "fvcReconstruct.H"
#include "volPointInterpolation.H"
#include "zeroGradientFvPatchFields.H"

// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //

template<class CloudType>
Foam::PackingModels::Implicit<CloudType>::Implicit
(
    const dictionary& dict,
    CloudType& owner
)
:
    PackingModel<CloudType>(dict, owner, typeName),
    alpha_
    (
        IOobject
        (
            this->owner().name() + ":alpha",
            this->owner().db().time().timeName(),
            this->owner().mesh(),
            IOobject::NO_READ,
            IOobject::NO_WRITE
        ),
        this->owner().mesh(),
        dimensionedScalar(dimless, 0),
        zeroGradientFvPatchScalarField::typeName
    ),
    phiCorrect_(nullptr),
    uCorrect_(nullptr),
    applyLimiting_(this->coeffDict().lookup("applyLimiting")),
    applyGravity_(this->coeffDict().lookup("applyGravity")),
    alphaMin_(this->coeffDict().template lookup<scalar>("alphaMin")),
    rhoMin_(this->coeffDict().template lookup<scalar>("rhoMin"))
{
    alpha_ = this->owner().theta();
    alpha_.oldTime();
}


template<class CloudType>
Foam::PackingModels::Implicit<CloudType>::Implicit
(
    const Implicit<CloudType>& cm
)
:
    PackingModel<CloudType>(cm),
    alpha_(cm.alpha_),
    phiCorrect_(cm.phiCorrect_()),
    uCorrect_(cm.uCorrect_()),
    applyLimiting_(cm.applyLimiting_),
    applyGravity_(cm.applyGravity_),
    alphaMin_(cm.alphaMin_),
    rhoMin_(cm.rhoMin_)
{
    alpha_.oldTime();
}


// * * * * * * * * * * * * * * * * Destructor  * * * * * * * * * * * * * * * //

template<class CloudType>
Foam::PackingModels::Implicit<CloudType>::~Implicit()
{}


// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //

template<class CloudType>
void Foam::PackingModels::Implicit<CloudType>::cacheFields(const bool store)
{
    PackingModel<CloudType>::cacheFields(store);

    if (store)
    {
        const fvMesh& mesh = this->owner().mesh();
        const dimensionedScalar deltaT = this->owner().db().time().deltaT();
        const word& cloudName = this->owner().name();

        const dimensionedVector& g = this->owner().g();
        const volScalarField& rhoc = this->owner().rho();

        const AveragingMethod<scalar>& rhoAverage =
            mesh.lookupObject<AveragingMethod<scalar>>
            (
                cloudName + ":rhoAverage"
            );
        const AveragingMethod<vector>& uAverage =
            mesh.lookupObject<AveragingMethod<vector>>
            (
                cloudName + ":uAverage"
            );
        const AveragingMethod<scalar>& uSqrAverage =
            mesh.lookupObject<AveragingMethod<scalar>>
            (
                cloudName + ":uSqrAverage"
            );

        mesh.setFluxRequired(alpha_.name());

        // Property fields
        // ~~~~~~~~~~~~~~~

        // volume fraction field
        alpha_ = max(this->owner().theta(), alphaMin_);
        alpha_.correctBoundaryConditions();

        // average density
        volScalarField rho
        (
            IOobject
            (
                cloudName + ":rho",
                this->owner().db().time().timeName(),
                mesh,
                IOobject::NO_READ,
                IOobject::NO_WRITE
            ),
            mesh,
            dimensionedScalar(dimDensity, 0),
            zeroGradientFvPatchField<scalar>::typeName
        );
        rho.primitiveFieldRef() = max(rhoAverage.primitiveField(), rhoMin_);
        rho.correctBoundaryConditions();

        // Stress field
        // ~~~~~~~~~~~~

        // stress derivative wrt volume fraction
        volScalarField tauPrime
        (
            IOobject
            (
                cloudName + ":tauPrime",
                this->owner().db().time().timeName(),
                mesh,
                IOobject::NO_READ,
                IOobject::NO_WRITE
            ),
            mesh,
            dimensionedScalar(dimPressure, 0),
            zeroGradientFvPatchField<scalar>::typeName
        );

        tauPrime.primitiveFieldRef() =
            this->particleStressModel_->dTaudTheta
            (
                alpha_.primitiveField(),
                rho.primitiveField(),
                uSqrAverage.primitiveField()
            )();

        tauPrime.correctBoundaryConditions();


        // Gravity flux
        // ~~~~~~~~~~~~

        tmp<surfaceScalarField> phiGByA;

        if (applyGravity_)
        (
            phiGByA = surfaceScalarField::New
            (
                "phiGByA",
                deltaT*(g & mesh.Sf())*fvc::interpolate(1.0 - rhoc/rho)
            )
        );


        // Implicit solution for the volume fraction
        // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

        surfaceScalarField
            tauPrimeByRhoAf
            (
                "tauPrimeByRhoAf",
                fvc::interpolate(deltaT*tauPrime/rho)
            );

        fvScalarMatrix alphaEqn
        (
            fvm::ddt(alpha_)
          - fvc::ddt(alpha_)
          - fvm::laplacian(tauPrimeByRhoAf, alpha_)
        );

        if (applyGravity_)
        {
            alphaEqn += fvm::div(phiGByA(), alpha_);
        }

        alphaEqn.solve();


        // Generate correction fields
        // ~~~~~~~~~~~~~~~~~

        // correction volumetric flux
        phiCorrect_ = surfaceScalarField::New
        (
            cloudName + ":phiCorrect",
            alphaEqn.flux()/fvc::interpolate(alpha_)
        );

        // limit the correction flux
        if (applyLimiting_)
        {
            volVectorField U
            (
                IOobject
                (
                    cloudName + ":U",
                    this->owner().db().time().timeName(),
                    mesh,
                    IOobject::NO_READ,
                    IOobject::NO_WRITE
                ),
                mesh,
                dimensionedVector(dimVelocity, Zero),
                fixedValueFvPatchField<vector>::typeName
            );
            U.primitiveFieldRef() = uAverage.primitiveField();
            U.correctBoundaryConditions();

            surfaceScalarField phi
            (
                cloudName + ":phi",
                linearInterpolate(U) & mesh.Sf()
            );

            if (applyGravity_)
            {
                phiCorrect_.ref() -= phiGByA();
            }

            forAll(phiCorrect_(), facei)
            {
                // Current and correction fluxes
                const scalar phiCurr = phi[facei];
                scalar& phiCorr = phiCorrect_.ref()[facei];

                // Don't limit if the correction is in the opposite direction to
                // the flux. We need all the help we can get in this state.
                if (phiCurr*phiCorr < 0)
                {}

                // If the correction and the flux are in the same direction then
                // don't apply any more correction than is already present in
                // the flux.
                else if (phiCorr > 0)
                {
                    phiCorr = max(phiCorr - phiCurr, 0);
                }
                else
                {
                    phiCorr = min(phiCorr - phiCurr, 0);
                }
            }

            if (applyGravity_)
            {
                phiCorrect_.ref() += phiGByA();
            }
        }

        // correction velocity
        uCorrect_ = volVectorField::New
        (
            cloudName + ":uCorrect",
            fvc::reconstruct(phiCorrect_())
        );
        uCorrect_->correctBoundaryConditions();

        // Info << endl;
        // Info << "     alpha: " << alpha_.primitiveField() << endl;
        // Info << "phiCorrect: " << phiCorrect_->primitiveField() << endl;
        // Info << "  uCorrect: " << uCorrect_->primitiveField() << endl;
        // Info << endl;
    }
    else
    {
        alpha_.oldTime();
        phiCorrect_.clear();
        uCorrect_.clear();
    }
}


template<class CloudType>
Foam::vector Foam::PackingModels::Implicit<CloudType>::velocityCorrection
(
    typename CloudType::parcelType& p,
    const scalar deltaT
) const
{
    const fvMesh& mesh = this->owner().mesh();

    // containing tetrahedron and parcel coordinates within
    const label celli = p.cell();
    const label facei = p.tetFace();

    // cell velocity
    const vector U = uCorrect_()[celli];

    // face geometry
    vector nHat = mesh.faces()[facei].area(mesh.points());
    const scalar nMag = mag(nHat);
    nHat /= nMag;

    // get face flux
    scalar phi;
    const label patchi = mesh.boundaryMesh().whichPatch(facei);
    if (patchi == -1)
    {
        phi = phiCorrect_()[facei];
    }
    else
    {
        phi =
            phiCorrect_().boundaryField()[patchi]
            [
                mesh.boundaryMesh()[patchi].whichFace(facei)
            ];
    }

    // interpolant equal to 1 at the cell centre and 0 at the face
    const scalar t = p.coordinates()[0];

    // the normal component of the velocity correction is interpolated linearly
    // the tangential component is equal to that at the cell centre
    return U + (1.0 - t)*nHat*(phi/nMag - (U & nHat));
}


// ************************************************************************* //