SpalartAllmaras.C

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#include "SpalartAllmaras.H"
#include "bound.H"
#include "wallDist.H"

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

namespace Foam
{
namespace RASModels
{

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

template<class BasicTurbulenceModel>
tmp<volScalarField> SpalartAllmaras<BasicTurbulenceModel>::chi() const
{
    return nuTilda_/this->nu();
}


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


template<class BasicTurbulenceModel>
tmp<volScalarField> SpalartAllmaras<BasicTurbulenceModel>::fv2
(
    const volScalarField& chi,
    const volScalarField& fv1
) const
{
    return 1.0 - chi/(1.0 + chi*fv1);
}


template<class BasicTurbulenceModel>
tmp<volScalarField> SpalartAllmaras<BasicTurbulenceModel>::Stilda
(
    const volScalarField& chi,
    const volScalarField& fv1
) const
{
    volScalarField Omega(::sqrt(2.0)*mag(skew(fvc::grad(this->U_))));

    return
    (
        max
        (
            Omega
          + fv2(chi, fv1)*nuTilda_/sqr(kappa_*y_),
            Cs_*Omega
        )
    );
}


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

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

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


template<class BasicTurbulenceModel>
void SpalartAllmaras<BasicTurbulenceModel>::correctNut
(
    const volScalarField& fv1
)
{
    this->nut_ = nuTilda_*fv1;
    this->nut_.correctBoundaryConditions();

    BasicTurbulenceModel::correctNut();
}


template<class BasicTurbulenceModel>
void SpalartAllmaras<BasicTurbulenceModel>::correctNut()
{
    correctNut(fv1(this->chi()));
}


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

template<class BasicTurbulenceModel>
SpalartAllmaras<BasicTurbulenceModel>::SpalartAllmaras
(
    const alphaField& alpha,
    const rhoField& rho,
    const volVectorField& U,
    const surfaceScalarField& alphaRhoPhi,
    const surfaceScalarField& phi,
    const transportModel& transport,
    const word& propertiesName,
    const word& type
)
:
    eddyViscosity<RASModel<BasicTurbulenceModel> >
    (
        type,
        alpha,
        rho,
        U,
        alphaRhoPhi,
        phi,
        transport,
        propertiesName
    ),

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

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

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

    y_(wallDist::New(this->mesh_).y())
{
    if (type == typeName)
    {
        correctNut();
        this->printCoeffs(type);
    }
}


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

template<class BasicTurbulenceModel>
bool SpalartAllmaras<BasicTurbulenceModel>::read()
{
    if (eddyViscosity<RASModel<BasicTurbulenceModel> >::read())
    {
        sigmaNut_.readIfPresent(this->coeffDict());
        kappa_.readIfPresent(this->coeffDict());

        Cb1_.readIfPresent(this->coeffDict());
        Cb2_.readIfPresent(this->coeffDict());
        Cw1_ = Cb1_/sqr(kappa_) + (1.0 + Cb2_)/sigmaNut_;
        Cw2_.readIfPresent(this->coeffDict());
        Cw3_.readIfPresent(this->coeffDict());
        Cv1_.readIfPresent(this->coeffDict());
        Cs_.readIfPresent(this->coeffDict());

        return true;
    }
    else
    {
        return false;
    }
}


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


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


template<class BasicTurbulenceModel>
tmp<volScalarField> SpalartAllmaras<BasicTurbulenceModel>::epsilon() const
{
    WarningIn("tmp<volScalarField> SpalartAllmaras::epsilon() const")
        << "Turbulence kinetic energy dissipation rate not defined for "
        << "Spalart-Allmaras model. Returning zero field"
        << endl;

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


template<class BasicTurbulenceModel>
void SpalartAllmaras<BasicTurbulenceModel>::correct()
{
    if (!this->turbulence_)
    {
        return;
    }

    // Local references
    const alphaField& alpha = this->alpha_;
    const rhoField& rho = this->rho_;
    const surfaceScalarField& alphaRhoPhi = this->alphaRhoPhi_;

    eddyViscosity<RASModel<BasicTurbulenceModel> >::correct();

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

    const volScalarField Stilda(this->Stilda(chi, fv1));

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

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

    correctNut(fv1);
}


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

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

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