Stokes2.C

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#include "Stokes2.H"
#include "addToRunTimeSelectionTable.H"

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

namespace Foam
{
namespace waveModels
{
    defineTypeNameAndDebug(Stokes2, 0);
    addToRunTimeSelectionTable(waveModel, Stokes2, dictionary);
}
}


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

Foam::scalar Foam::waveModels::Stokes2::celerity
(
    const scalar depth,
    const scalar amplitude,
    const scalar length,
    const scalar g
)
{
    static const scalar kdGreat = log(great);
    const scalar kd = min(max(k(length)*depth, - kdGreat), kdGreat);
    const scalar ka = k(length)*amplitude;

    const scalar S = deep(depth, length) ? 0 : 1/cosh(2*kd);

    const scalar C0 = Airy::celerity(depth, amplitude, length, g);
    const scalar C2ByC0 = (2 + 7*sqr(S))/4/sqr(1 - S);

    if (debug)
    {
        Info<< "C2 = " << C2ByC0*C0 << endl;
    }

    return Airy::celerity(depth, amplitude, length, g) + sqr(ka)*C2ByC0*C0;
}


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

Foam::waveModels::Stokes2::Stokes2
(
    const dictionary& dict,
    const scalar g,
    const word& modelName,
    scalar (*modelCelerity)(scalar, scalar, scalar, scalar)
)
:
    Airy(dict, g, modelName, modelCelerity)
{}


// * * * * * * * * * * * * * * * * Destructor  * * * * * * * * * * * * * * * //

Foam::waveModels::Stokes2::~Stokes2()
{}


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

Foam::tmp<Foam::scalarField> Foam::waveModels::Stokes2::elevation
(
    const scalar t,
    const scalarField& x
) const
{
    static const scalar kdGreat = log(great);
    const scalar kd = min(max(k()*depth(), - kdGreat), kdGreat);
    const scalar ka = k()*amplitude(t);

    const scalar T = deep() ? 1 : tanh(kd);

    const scalar B22 = (3/sqr(T) - 1)/T/4;

    if (debug)
    {
        Info<< "B22 = " << B22 << endl;
    }

    return
        Airy::elevation(t, x)
      + (1/k())*sqr(ka)*B22*cos(2*angle(t, x));
}


Foam::tmp<Foam::vector2DField> Foam::waveModels::Stokes2::velocity
(
    const scalar t,
    const vector2DField& xz
) const
{
    static const scalar kdGreat = log(great);
    const scalar kd = min(max(k()*depth(), - kdGreat), kdGreat);
    const scalar ka = k()*amplitude(t);

    const scalar A22ByA11 = deep() ? 0 : 0.375/pow3(sinh(kd));

    if (debug)
    {
        const scalar A11 = 1/sinh(kd);
        Info<< "A22 = " << A22ByA11*A11 << endl;
    }

    return
        Airy::velocity(t, xz)
      + Airy::celerity()*sqr(ka)*A22ByA11*vi(2, t, xz);
}


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