kkLOmega.H

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Class
    Foam::incompressible::RASModels::kkLOmega

Description
    Low Reynolds-number k-kl-omega turbulence model for
    incompressible flows.

    This turbulence model is described in:
    \verbatim
        Walters, D. K., & Cokljat, D. (2008).
        A three-equation eddy-viscosity model for Reynolds-averaged
        Navier–Stokes simulations of transitional flow.
        Journal of Fluids Engineering, 130(12), 121401.
    \endverbatim

    corrected according to:

    \verbatim
        Furst, J. (2013).
        Numerical simulation of transitional flows with laminar kinetic energy.
        Engineering Mechanics, 20(5), 379-388.
    \endverbatim

    and includes the improvements proposed in:

    \verbatim
        Lopez, M., and Keith Walters, D. (2016).
        A Recommended Correction to the kT−kL−ω Transition-Sensitive
        Eddy-Viscosity Model.
        Journal of Fluids Engineering, 139(2), 024501.
    \endverbatim

    The default model coefficients are
    \verbatim
        kkLOmegaCoeffs
        {
            A0             4.04
            As             2.12
            Av             6.75
            Abp            0.6
            Anat           200
            Ats            200
            CbpCrit        1.2
            Cnc            0.1
            CnatCrit       1250
            Cint           0.75
            CtsCrit        1000
            CrNat          0.02
            C11            3.4e-6
            C12            1.0e-10
            CR             0.12
            CalphaTheta    0.035
            Css            1.5
            CtauL          4360
            Cw1            0.44
            Cw2            0.92
            Cw3            0.3
            CwR            1.5
            Clambda        2.495
            CmuStd         0.09
            Prtheta        0.85
            Sigmak         1
            Sigmaw         1.17
        }
    \endverbatim

SourceFiles
    kkLOmega.C

\*---------------------------------------------------------------------------*/

#ifndef kkLOmega_H
#define kkLOmega_H

#include "kinematicMomentumTransportModel.H"
#include "eddyViscosity.H"

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

namespace Foam
{
namespace incompressible
{
namespace RASModels
{

/*---------------------------------------------------------------------------*\
                          Class kkLOmega Declaration
\*---------------------------------------------------------------------------*/

class kkLOmega
:
    public eddyViscosity<incompressible::RASModel>
{
    // Private Member Functions

        tmp<volScalarField> fv(const volScalarField& Ret) const;

        tmp<volScalarField> fINT() const;

        tmp<volScalarField> fSS(const volScalarField& omega) const;

        tmp<volScalarField> Cmu(const volScalarField& S) const;

        tmp<volScalarField> BetaTS(const volScalarField& Rew) const;

        tmp<volScalarField> fTaul
        (
            const volScalarField& lambdaEff,
            const volScalarField& ktL,
            const volScalarField& omega
        ) const;

        tmp<volScalarField> alphaT
        (
            const volScalarField& lambdaEff,
            const volScalarField& fv,
            const volScalarField& ktS
        ) const;

        tmp<volScalarField> fOmega
        (
            const volScalarField& lambdaEff,
            const volScalarField& lambdaT
        ) const;

        tmp<volScalarField> phiBP(const volScalarField& omega) const;

        tmp<volScalarField> phiNAT
        (
            const volScalarField& ReOmega,
            const volScalarField& fNatCrit
        ) const;

        tmp<volScalarField> D(const volScalarField& k) const;


protected:

    // Protected data

        // Model coefficients

            dimensionedScalar A0_;
            dimensionedScalar As_;
            dimensionedScalar Av_;
            dimensionedScalar Abp_;
            dimensionedScalar Anat_;
            dimensionedScalar Ats_;
            dimensionedScalar CbpCrit_;
            dimensionedScalar Cnc_;
            dimensionedScalar CnatCrit_;
            dimensionedScalar Cint_;
            dimensionedScalar CtsCrit_;
            dimensionedScalar CrNat_;
            dimensionedScalar C11_;
            dimensionedScalar C12_;
            dimensionedScalar CR_;
            dimensionedScalar CalphaTheta_;
            dimensionedScalar Css_;
            dimensionedScalar CtauL_;
            dimensionedScalar Cw1_;
            dimensionedScalar Cw2_;
            dimensionedScalar Cw3_;
            dimensionedScalar CwR_;
            dimensionedScalar Clambda_;
            dimensionedScalar CmuStd_;
            dimensionedScalar Prtheta_;
            dimensionedScalar Sigmak_;
            dimensionedScalar Sigmaw_;


        // Fields

            volScalarField kt_;
            volScalarField kl_;
            volScalarField omega_;
            volScalarField epsilon_;

            //- Wall distance
            //  Note: different to wall distance in parent RASModel
            //  which is for near-wall cells only
            const volScalarField& y_;


    // Protected Member Functions

        virtual void correctNut();


public:

    //- Runtime type information
    TypeName("kkLOmega");


    // Constructors

        //- Construct from components
        kkLOmega
        (
            const geometricOneField& alpha,
            const geometricOneField& rho,
            const volVectorField& U,
            const surfaceScalarField& alphaRhoPhi,
            const surfaceScalarField& phi,
            const transportModel& transport,
            const word& type = typeName
        );


    //- Destructor
    virtual ~kkLOmega()
    {}


    // Member Functions

        //- Read RASProperties dictionary
        virtual bool read();

        //- Return the effective diffusivity for k
        tmp<volScalarField> DkEff(const volScalarField& alphaT) const
        {
            return volScalarField::New
            (
                "DkEff",
                alphaT/Sigmak_ + nu()
            );
        }

        //- Return the effective diffusivity for omega
        tmp<volScalarField> DomegaEff(const volScalarField& alphaT) const
        {
            return volScalarField::New
            (
                "DomegaEff",
                alphaT/Sigmaw_ + nu()
            );
        }

        //- Return the laminar kinetic energy
        virtual tmp<volScalarField> kl() const
        {
            return kl_;
        }

        //- Return the turbulence kinetic energy
        virtual tmp<volScalarField> kt() const
        {
            return kt_;
        }

        //- Return the turbulence specific dissipation rate
        virtual tmp<volScalarField> omega() const
        {
            return omega_;
        }

        //- Return the total fluctuation kinetic energy
        virtual tmp<volScalarField> k() const
        {
            return volScalarField::New
            (
                "k",
                kt_ + kl_,
                omega_.boundaryField().types()
            );
        }

        //- Return the total fluctuation kinetic energy dissipation rate
        virtual tmp<volScalarField> epsilon() const
        {
            return epsilon_;
        }

        //- Validate the turbulence fields after construction
        //  Update turbulence viscosity and other derived fields as requires
        virtual void validate();

        //- Solve the turbulence equations and correct the turbulence viscosity
        virtual void correct();
};


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

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

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

#endif

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