locDynOneEqEddy.H

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Class
    Foam::incompressible::LESModels::locDynOneEqEddy

Description
    Localised Dynamic One Equation Eddy Viscosity Model for incompressible
    flows

    Eddy viscosity SGS model using a modeled balance equation to simulate
    the behaviour of k, hence
    @verbatim
        d/dt(k) + div(U*k) - div(nuSgs*grad(k))
        =
        -B*L - ce*rho*k^3/2/delta
    and
        B = 2/3*k*I - 2*nuSgs*dev(D)
        Beff = 2/3*k*I - 2*nuEff*dev(D)
    where
        nuSgs = cD*delta^2*||D||
        nuEff = nuSgs + nu
    @endverbatim

    A dynamic procedure is here applied to evaluate ck and ce
    @verbatim
        ck=<L.M>/<M.M>
    and
        ce=<e*m>/<m*m>
    where
       K = 0.5*(F(U.U) - F(U).F(U))
       L = (F(U*U) - F(U)*F(U) - 0.33*K*I)
       M = delta*(F(sqrt(k)*D) - 2*sqrt(K + filter(k))*F(D))
       m = pow(K + F(k), 3.0/2.0)/(2*delta) - F(pow(k, 3.0/2.0))/delta
       e = 2*delta*ck*(F(sqrt(k)*(D && D)) - 2*sqrt(K + F(k))*(F(D) && F(D)))/
    @endverbatim

SourceFiles
    locDynOneEqEddy.C

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

#ifndef locDynOneEqEddy_H
#define locDynOneEqEddy_H

#include <incompressibleLESModels/GenEddyVisc.H>
#include <LESfilters/simpleFilter.H>
#include <LESfilters/LESfilter.H>

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

namespace Foam
{
namespace incompressible
{
namespace LESModels
{

/*---------------------------------------------------------------------------*\
                           Class locDynOneEqEddy Declaration
\*---------------------------------------------------------------------------*/

class locDynOneEqEddy
:
    public GenEddyVisc
{
    // Private data

        volScalarField k_;

        simpleFilter simpleFilter_;
        autoPtr<LESfilter> filterPtr_;
        LESfilter& filter_;


    // Private Member Functions

        //- Update sub-grid scale fields
        void updateSubGridScaleFields
        (
            const volSymmTensorField& D,
            const volScalarField& KK
        );

        //- Calculate ck, ce by filtering the velocity field U.
        volScalarField ck
        (
            const volSymmTensorField&,
            const volScalarField&
        ) const;

        volScalarField ce
        (
            const volSymmTensorField&,
            const volScalarField&
        ) const;

        // Disallow default bitwise copy construct and assignment
        locDynOneEqEddy(const locDynOneEqEddy&);
        locDynOneEqEddy& operator=(const locDynOneEqEddy&);


public:

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

    // Constructors

        //- Construct from components
        locDynOneEqEddy
        (
            const volVectorField& U,
            const surfaceScalarField& phi,
            transportModel& transport
        );


    //- Destructor
    virtual ~locDynOneEqEddy()
    {}


    // Member Functions

        //- Return SGS kinetic energy
        virtual tmp<volScalarField> k() const
        {
            return k_;
        }

        //- Return the effective diffusivity for k
        tmp<volScalarField> DkEff() const
        {
            return tmp<volScalarField>
            (
                new volScalarField("DkEff", nuSgs_ + nu())
            );
        }

        //- Correct Eddy-Viscosity and related properties
        virtual void correct(const tmp<volTensorField>& gradU);

        //- Read LESProperties dictionary
        virtual bool read();
};


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

} // End namespace LESModels
} // End namespace incompressible
} // End namespace Foam

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

#endif

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