threePhaseInterfaceProperties.C

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#include "threePhaseInterfaceProperties.H"
#include "alphaContactAngleFvPatchScalarField.H"
#include "mathematicalConstants.H"
#include "surfaceInterpolate.H"
#include "fvcDiv.H"
#include "fvcGrad.H"
#include "fvcSnGrad.H"

// * * * * * * * * * * * * * * * Static Member Data  * * * * * * * * * * * * //

const Foam::scalar Foam::threePhaseInterfaceProperties::convertToRad =
    Foam::constant::mathematical::pi/180.0;


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

void Foam::threePhaseInterfaceProperties::correctContactAngle
(
    surfaceVectorField::Boundary& nHatb
) const
{
    const volScalarField::Boundary& alpha1 =
        mixture_.alpha1().boundaryField();
    const volScalarField::Boundary& alpha2 =
        mixture_.alpha2().boundaryField();
    const volScalarField::Boundary& alpha3 =
        mixture_.alpha3().boundaryField();
    const volVectorField::Boundary& U =
        mixture_.U().boundaryField();

    const fvMesh& mesh = mixture_.U().mesh();
    const fvBoundaryMesh& boundary = mesh.boundary();

    forAll(boundary, patchi)
    {
        if (isA<alphaContactAngleFvPatchScalarField>(alpha1[patchi]))
        {
            const alphaContactAngleFvPatchScalarField& a2cap =
                refCast<const alphaContactAngleFvPatchScalarField>
                (alpha2[patchi]);

            const alphaContactAngleFvPatchScalarField& a3cap =
                refCast<const alphaContactAngleFvPatchScalarField>
                (alpha3[patchi]);

            scalarField twoPhaseAlpha2(max(a2cap, scalar(0)));
            scalarField twoPhaseAlpha3(max(a3cap, scalar(0)));

            scalarField sumTwoPhaseAlpha
            (
                twoPhaseAlpha2 + twoPhaseAlpha3 + small
            );

            twoPhaseAlpha2 /= sumTwoPhaseAlpha;
            twoPhaseAlpha3 /= sumTwoPhaseAlpha;

            fvsPatchVectorField& nHatp = nHatb[patchi];

            scalarField theta
            (
                convertToRad
              * (
                   twoPhaseAlpha2*(180 - a2cap.theta(U[patchi], nHatp))
                 + twoPhaseAlpha3*(180 - a3cap.theta(U[patchi], nHatp))
                )
            );

            vectorField nf(boundary[patchi].nf());

            // Reset nHatPatch to correspond to the contact angle

            scalarField a12(nHatp & nf);

            scalarField b1(cos(theta));

            scalarField b2(nHatp.size());

            forAll(b2, facei)
            {
                b2[facei] = cos(acos(a12[facei]) - theta[facei]);
            }

            scalarField det(1.0 - a12*a12);

            scalarField a((b1 - a12*b2)/det);
            scalarField b((b2 - a12*b1)/det);

            nHatp = a*nf + b*nHatp;

            nHatp /= (mag(nHatp) + deltaN_.value());
        }
    }
}


void Foam::threePhaseInterfaceProperties::calculateK()
{
    const volScalarField& alpha1 = mixture_.alpha1();

    const fvMesh& mesh = alpha1.mesh();
    const surfaceVectorField& Sf = mesh.Sf();

    // Cell gradient of alpha
    volVectorField gradAlpha(fvc::grad(alpha1));

    // Interpolated face-gradient of alpha
    surfaceVectorField gradAlphaf(fvc::interpolate(gradAlpha));

    // Face unit interface normal
    surfaceVectorField nHatfv(gradAlphaf/(mag(gradAlphaf) + deltaN_));

    correctContactAngle(nHatfv.boundaryFieldRef());

    // Face unit interface normal flux
    nHatf_ = nHatfv & Sf;

    // Simple expression for curvature
    K_ = -fvc::div(nHatf_);

    // Complex expression for curvature.
    // Correction is formally zero but numerically non-zero.
    // volVectorField nHat = gradAlpha/(mag(gradAlpha) + deltaN_);
    // nHat.boundaryField() = nHatfv.boundaryField();
    // K_ = -fvc::div(nHatf_) + (nHat & fvc::grad(nHatfv) & nHat);
}


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

Foam::threePhaseInterfaceProperties::threePhaseInterfaceProperties
(
    const incompressibleThreePhaseMixture& mixture
)
:
    mixture_(mixture),
    cAlpha_
    (
        readScalar
        (
            mixture.U().mesh().solverDict
            (
                mixture_.alpha1().name()
            ).lookup("cAlpha")
        )
    ),
    sigma12_("sigma12", dimensionSet(1, 0, -2, 0, 0), mixture),
    sigma13_("sigma13", dimensionSet(1, 0, -2, 0, 0), mixture),

    deltaN_
    (
        "deltaN",
        1e-8/pow(average(mixture.U().mesh().V()), 1.0/3.0)
    ),

    nHatf_
    (
        IOobject
        (
            "nHatf",
            mixture.alpha1().time().timeName(),
            mixture.alpha1().mesh()
        ),
        mixture.alpha1().mesh(),
        dimensionedScalar("nHatf", dimArea, 0.0)
    ),

    K_
    (
        IOobject
        (
            "interfaceProperties:K",
            mixture.alpha1().time().timeName(),
            mixture.alpha1().mesh()
        ),
        mixture.alpha1().mesh(),
        dimensionedScalar("K", dimless/dimLength, 0.0)
    )
{
    calculateK();
}


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

Foam::tmp<Foam::surfaceScalarField>
Foam::threePhaseInterfaceProperties::surfaceTensionForce() const
{
    return fvc::interpolate(sigmaK())*fvc::snGrad(mixture_.alpha1());
}


Foam::tmp<Foam::volScalarField>
Foam::threePhaseInterfaceProperties::nearInterface() const
{
    return max
    (
        pos0(mixture_.alpha1() - 0.01)*pos0(0.99 - mixture_.alpha1()),
        pos0(mixture_.alpha2() - 0.01)*pos0(0.99 - mixture_.alpha2())
    );
}


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