void Foam::mulesWithDiffusionImplicitLimiter
(
    const volScalarField& rho,
    volScalarField& Y,
    const surfaceScalarField& phiPos,
    const surfaceScalarField& phiNeg,
    scalarField& lambdaFace,
    surfaceScalarField& rhoPhif,
    surfaceScalarField& diffFlux,
    const surfaceScalarField& Dmi,
    const fvScalarMatrix& SuSp
)
{
    const fvMesh& mesh = rho.mesh();
    const dictionary& MULEScontrols = mesh.solverDict("Yi");

    label nLimiterIter
    (
	readLabel(MULEScontrols.lookup("nLimiterIter"))
    );
    
    upwind<scalar> UDsPos(mesh, phiPos);
    upwind<scalar> UDsNeg(mesh, phiNeg);
    
    fvScalarMatrix YConvection
    (
	fv::gaussConvectionScheme<scalar>(mesh, phiPos, UDsPos).fvmDiv(phiPos, Y)
	+
	fv::gaussConvectionScheme<scalar>(mesh, phiNeg, UDsPos).fvmDiv(phiNeg, Y)
    );
    
    surfaceScalarField rhoPhifBD = YConvection.flux();

    surfaceScalarField& rhoPhifCorr = rhoPhif;
    rhoPhifCorr -= rhoPhifBD;

    volScalarField Su
    (
	"Su",
	SuSp & Y
    );

    MULES::limiter
    (
	lambdaFace,
	1.0/mesh.time().deltaTValue(),
	rho,
	Y,
	rhoPhifBD,
	rhoPhifCorr,
	zeroField(),
	Su,
	1.0, //psiMax,
	0.0, //psiMin,
	nLimiterIter
    );
}
void Foam::MULES::limiter
(
    scalarField& allLambda,
    const RdeltaTType& rDeltaT,
    const RhoType& rho,
    const volScalarField& psi,
    const surfaceScalarField& phiBD,
    const surfaceScalarField& phiCorr,
    const SpType& Sp,
    const SuType& Su,
    const scalar psiMax,
    const scalar psiMin
)
{
    const scalarField& psiIf = psi;
    const volScalarField::GeometricBoundaryField& psiBf = psi.boundaryField();

    const fvMesh& mesh = psi.mesh();

    const dictionary& MULEScontrols = mesh.solverDict(psi.name());

    label nLimiterIter
    (
        MULEScontrols.lookupOrDefault<label>("nLimiterIter", 3)
    );

    scalar smoothLimiter
    (
        MULEScontrols.lookupOrDefault<scalar>("smoothLimiter", 0)
    );

    const scalarField& psi0 = psi.oldTime();

    const labelUList& owner = mesh.owner();
    const labelUList& neighb = mesh.neighbour();
    tmp<volScalarField::DimensionedInternalField> tVsc = mesh.Vsc();
    const scalarField& V = tVsc();

    const scalarField& phiBDIf = phiBD;
    const surfaceScalarField::GeometricBoundaryField& phiBDBf =
        phiBD.boundaryField();

    const scalarField& phiCorrIf = phiCorr;
    const surfaceScalarField::GeometricBoundaryField& phiCorrBf =
        phiCorr.boundaryField();

    slicedSurfaceScalarField lambda
    (
        IOobject
        (
            "lambda",
            mesh.time().timeName(),
            mesh,
            IOobject::NO_READ,
            IOobject::NO_WRITE,
            false
        ),
        mesh,
        dimless,
        allLambda,
        false   // Use slices for the couples
    );

    scalarField& lambdaIf = lambda;
    surfaceScalarField::GeometricBoundaryField& lambdaBf =
        lambda.boundaryField();

    scalarField psiMaxn(psiIf.size(), psiMin);
    scalarField psiMinn(psiIf.size(), psiMax);

    scalarField sumPhiBD(psiIf.size(), 0.0);

    scalarField sumPhip(psiIf.size(), VSMALL);
    scalarField mSumPhim(psiIf.size(), VSMALL);

    forAll(phiCorrIf, facei)
    {
        label own = owner[facei];
        label nei = neighb[facei];

        psiMaxn[own] = max(psiMaxn[own], psiIf[nei]);
        psiMinn[own] = min(psiMinn[own], psiIf[nei]);

        psiMaxn[nei] = max(psiMaxn[nei], psiIf[own]);
        psiMinn[nei] = min(psiMinn[nei], psiIf[own]);

        sumPhiBD[own] += phiBDIf[facei];
        sumPhiBD[nei] -= phiBDIf[facei];

        scalar phiCorrf = phiCorrIf[facei];

        if (phiCorrf > 0.0)
        {
            sumPhip[own] += phiCorrf;
            mSumPhim[nei] += phiCorrf;
        }
        else
        {
            mSumPhim[own] -= phiCorrf;
            sumPhip[nei] -= phiCorrf;
        }
    }
void Foam::MULES::implicitSolve
(
    const RhoType& rho,
    volScalarField& psi,
    const surfaceScalarField& phi,
    surfaceScalarField& phiPsi,
    const SpType& Sp,
    const SuType& Su,
    const scalar psiMax,
    const scalar psiMin
)
{
    const fvMesh& mesh = psi.mesh();

    const dictionary& MULEScontrols = mesh.solverDict(psi.name());

    label maxIter
    (
        readLabel(MULEScontrols.lookup("maxIter"))
    );

    label nLimiterIter
    (
        readLabel(MULEScontrols.lookup("nLimiterIter"))
    );

    scalar maxUnboundedness
    (
        readScalar(MULEScontrols.lookup("maxUnboundedness"))
    );

    scalar CoCoeff
    (
        readScalar(MULEScontrols.lookup("CoCoeff"))
    );

    scalarField allCoLambda(mesh.nFaces());

    {
        tmp<surfaceScalarField> Cof =
            mesh.time().deltaT()*mesh.surfaceInterpolation::deltaCoeffs()
           *mag(phi)/mesh.magSf();

        slicedSurfaceScalarField CoLambda
        (
            IOobject
            (
                "CoLambda",
                mesh.time().timeName(),
                mesh,
                IOobject::NO_READ,
                IOobject::NO_WRITE,
                false
            ),
            mesh,
            dimless,
            allCoLambda,
            false   // Use slices for the couples
        );

        CoLambda == 1.0/max(CoCoeff*Cof, scalar(1));
    }

    scalarField allLambda(allCoLambda);
    //scalarField allLambda(mesh.nFaces(), 1.0);

    slicedSurfaceScalarField lambda
    (
        IOobject
        (
            "lambda",
            mesh.time().timeName(),
            mesh,
            IOobject::NO_READ,
            IOobject::NO_WRITE,
            false
        ),
        mesh,
        dimless,
        allLambda,
        false   // Use slices for the couples
    );

    linear<scalar> CDs(mesh);
    upwind<scalar> UDs(mesh, phi);
    //fv::uncorrectedSnGrad<scalar> snGrads(mesh);

    fvScalarMatrix psiConvectionDiffusion
    (
        fvm::ddt(rho, psi)
      + fv::gaussConvectionScheme<scalar>(mesh, phi, UDs).fvmDiv(phi, psi)
        //- fv::gaussLaplacianScheme<scalar, scalar>(mesh, CDs, snGrads)
        //.fvmLaplacian(Dpsif, psi)
      - fvm::Sp(Sp, psi)
      - Su
    );

    surfaceScalarField phiBD(psiConvectionDiffusion.flux());

    surfaceScalarField& phiCorr = phiPsi;
    phiCorr -= phiBD;

    for (label i=0; i<maxIter; i++)
    {
        if (i != 0 && i < 4)
        {
            allLambda = allCoLambda;
        }

        limiter
        (
            allLambda,
            rho,
            psi,
            phiBD,
            phiCorr,
            Sp,
            Su,
            psiMax,
            psiMin,
            nLimiterIter
        );

        solve
        (
            psiConvectionDiffusion + fvc::div(lambda*phiCorr),
            MULEScontrols
        );

        scalar maxPsiM1 = gMax(psi.internalField()) - 1.0;
        scalar minPsi = gMin(psi.internalField());

        scalar unboundedness = max(max(maxPsiM1, 0.0), -min(minPsi, 0.0));

        if (unboundedness < maxUnboundedness)
        {
            break;
        }
        else
        {
            Info<< "MULES: max(" << psi.name() << " - 1) = " << maxPsiM1
                << " min(" << psi.name() << ") = " << minPsi << endl;

            phiBD = psiConvectionDiffusion.flux();

            /*
            word gammaScheme("div(phi,gamma)");
            word gammarScheme("div(phirb,gamma)");

            const surfaceScalarField& phir =
                mesh.lookupObject<surfaceScalarField>("phir");

            phiCorr =
                fvc::flux
                (
                    phi,
                    psi,
                    gammaScheme
                )
              + fvc::flux
                (
                    -fvc::flux(-phir, scalar(1) - psi, gammarScheme),
                    psi,
                    gammarScheme
                )
                - phiBD;
            */
        }
    }

    phiPsi = psiConvectionDiffusion.flux() + lambda*phiCorr;
}