SpalartAllmaras.C

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/*---------------------------------------------------------------------------*\
  =========                 |
  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
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    \\  /    A nd           | Copyright (C) 1991-2010 OpenCFD Ltd.
     \\/     M anipulation  |
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License
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#include "SpalartAllmaras.H"
#include <OpenFOAM/addToRunTimeSelectionTable.H>

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

namespace Foam
{
namespace incompressible
{
namespace RASModels
{

// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //

defineTypeNameAndDebug(SpalartAllmaras, 0);
addToRunTimeSelectionTable(RASModel, SpalartAllmaras, dictionary);

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

tmp<volScalarField> SpalartAllmaras::chi() const
{
    return nuTilda_/nu();
}


tmp<volScalarField> SpalartAllmaras::fv1(const volScalarField& chi) const
{
    volScalarField chi3 = pow3(chi);
    return chi3/(chi3 + pow3(Cv1_));
}


tmp<volScalarField> SpalartAllmaras::fv2
(
    const volScalarField& chi,
    const volScalarField& fv1
) const
{
    return 1.0/pow3(scalar(1) + chi/Cv2_);
}


tmp<volScalarField> SpalartAllmaras::fv3
(
    const volScalarField& chi,
    const volScalarField& fv1
) const
{
    volScalarField chiByCv2 = (1/Cv2_)*chi;

    return
        (scalar(1) + chi*fv1)
       *(1/Cv2_)
       *(3*(scalar(1) + chiByCv2) + sqr(chiByCv2))
       /pow3(scalar(1) + chiByCv2);
}


tmp<volScalarField> SpalartAllmaras::fw(const volScalarField& Stilda) const
{
    volScalarField r = min
    (
        nuTilda_
       /(
           max(Stilda, dimensionedScalar("SMALL", Stilda.dimensions(), SMALL))
          *sqr(kappa_*d_)
        ),
        scalar(10.0)
    );
    r.boundaryField() == 0.0;

    volScalarField g = r + Cw2_*(pow6(r) - r);

    return g*pow((1.0 + pow6(Cw3_))/(pow6(g) + pow6(Cw3_)), 1.0/6.0);
}


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

SpalartAllmaras::SpalartAllmaras
(
    const volVectorField& U,
    const surfaceScalarField& phi,
    transportModel& lamTransportModel
)
:
    RASModel(typeName, U, phi, lamTransportModel),

    sigmaNut_
    (
        dimensioned<scalar>::lookupOrAddToDict
        (
            "sigmaNut",
            coeffDict_,
            0.66666
        )
    ),
    kappa_
    (
        dimensioned<scalar>::lookupOrAddToDict
        (
            "kappa",
            coeffDict_,
            0.41
        )
    ),

    Cb1_
    (
        dimensioned<scalar>::lookupOrAddToDict
        (
            "Cb1",
            coeffDict_,
            0.1355
        )
    ),
    Cb2_
    (
        dimensioned<scalar>::lookupOrAddToDict
        (
            "Cb2",
            coeffDict_,
            0.622
        )
    ),
    Cw1_(Cb1_/sqr(kappa_) + (1.0 + Cb2_)/sigmaNut_),
    Cw2_
    (
        dimensioned<scalar>::lookupOrAddToDict
        (
            "Cw2",
            coeffDict_,
            0.3
        )
    ),
    Cw3_
    (
        dimensioned<scalar>::lookupOrAddToDict
        (
            "Cw3",
            coeffDict_,
            2.0
        )
    ),
    Cv1_
    (
        dimensioned<scalar>::lookupOrAddToDict
        (
            "Cv1",
            coeffDict_,
            7.1
        )
    ),
    Cv2_
    (
        dimensioned<scalar>::lookupOrAddToDict
        (
            "Cv2",
            coeffDict_,
            5.0
        )
    ),

    nuTilda_
    (
        IOobject
        (
            "nuTilda",
            runTime_.timeName(),
            mesh_,
            IOobject::MUST_READ,
            IOobject::AUTO_WRITE
        ),
        mesh_
    ),

    nut_
    (
        IOobject
        (
            "nut",
            runTime_.timeName(),
            mesh_,
            IOobject::MUST_READ,
            IOobject::AUTO_WRITE
        ),
        mesh_
    ),

    d_(mesh_)
{
    printCoeffs();
}


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

tmp<volScalarField> SpalartAllmaras::DnuTildaEff() const
{
    return tmp<volScalarField>
    (
        new volScalarField("DnuTildaEff", nuTilda_/sigmaNut_ + nu())
    );
}


tmp<volScalarField> SpalartAllmaras::k() const
{
    return tmp<volScalarField>
    (
        new volScalarField
        (
            IOobject
            (
                "k",
                runTime_.timeName(),
                mesh_
            ),
            mesh_,
            dimensionedScalar("0", dimensionSet(0, 2, -2, 0, 0), 0)
        )
    );
}


tmp<volScalarField> SpalartAllmaras::epsilon() const
{
    return tmp<volScalarField>
    (
        new volScalarField
        (
            IOobject
            (
                "epsilon",
                runTime_.timeName(),
                mesh_
            ),
            mesh_,
            dimensionedScalar("0", dimensionSet(0, 2, -3, 0, 0), 0)
        )
    );
}


tmp<volSymmTensorField> SpalartAllmaras::R() const
{
    return tmp<volSymmTensorField>
    (
        new volSymmTensorField
        (
            IOobject
            (
                "R",
                runTime_.timeName(),
                mesh_,
                IOobject::NO_READ,
                IOobject::NO_WRITE
            ),
            ((2.0/3.0)*I)*k() - nut()*twoSymm(fvc::grad(U_))
        )
    );
}


tmp<volSymmTensorField> SpalartAllmaras::devReff() const
{
    return tmp<volSymmTensorField>
    (
        new volSymmTensorField
        (
            IOobject
            (
                "devRhoReff",
                runTime_.timeName(),
                mesh_,
                IOobject::NO_READ,
                IOobject::NO_WRITE
            ),
           -nuEff()*dev(twoSymm(fvc::grad(U_)))
        )
    );
}


tmp<fvVectorMatrix> SpalartAllmaras::divDevReff(volVectorField& U) const
{
    volScalarField nuEff_ = nuEff();

    return
    (
      - fvm::laplacian(nuEff_, U)
      - fvc::div(nuEff_*dev(fvc::grad(U)().T()))
    );
}


bool SpalartAllmaras::read()
{
    if (RASModel::read())
    {
        sigmaNut_.readIfPresent(coeffDict());

        Cb1_.readIfPresent(coeffDict());
        Cb2_.readIfPresent(coeffDict());
        Cw1_ = Cb1_/sqr(kappa_) + (1.0 + Cb2_)/sigmaNut_;
        Cw2_.readIfPresent(coeffDict());
        Cw3_.readIfPresent(coeffDict());
        Cv1_.readIfPresent(coeffDict());
        Cv2_.readIfPresent(coeffDict());

        return true;
    }
    else
    {
        return false;
    }
}


void SpalartAllmaras::correct()
{
    RASModel::correct();

    if (!turbulence_)
    {
        return;
    }

    if (mesh_.changing())
    {
        d_.correct();
    }

    volScalarField chi = this->chi();
    volScalarField fv1 = this->fv1(chi);

    volScalarField Stilda =
        fv3(chi, fv1)*::sqrt(2.0)*mag(skew(fvc::grad(U_)))
      + fv2(chi, fv1)*nuTilda_/sqr(kappa_*d_);

    tmp<fvScalarMatrix> nuTildaEqn
    (
        fvm::ddt(nuTilda_)
      + fvm::div(phi_, nuTilda_)
      - fvm::Sp(fvc::div(phi_), nuTilda_)
      - fvm::laplacian(DnuTildaEff(), nuTilda_)
      - Cb2_/sigmaNut_*magSqr(fvc::grad(nuTilda_))
     ==
        Cb1_*Stilda*nuTilda_
      - fvm::Sp(Cw1_*fw(Stilda)*nuTilda_/sqr(d_), nuTilda_)
    );

    nuTildaEqn().relax();
    solve(nuTildaEqn);
    bound(nuTilda_, dimensionedScalar("0", nuTilda_.dimensions(), 0.0));
    nuTilda_.correctBoundaryConditions();

    nut_.internalField() = fv1*nuTilda_.internalField();
    nut_.correctBoundaryConditions();
}


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

} // End namespace RASModels
} // End namespace incompressible
} // End namespace Foam

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