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If not, see . \*---------------------------------------------------------------------------*/ #include "Stokes5.H" #include "addToRunTimeSelectionTable.H" // * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * // namespace Foam { namespace waveModels { defineTypeNameAndDebug(Stokes5, 0); addToRunTimeSelectionTable(waveModel, Stokes5, dictionary); } } // * * * * * * * * * * Static Protected Member Functions * * * * * * ** * * // Foam::scalar Foam::waveModels::Stokes5::celerity(const AiryCoeffs& coeffs) { static const scalar kdGreat = log(great); const scalar kd = min(max(coeffs.k()*coeffs.depth, - kdGreat), kdGreat); const scalar ka = coeffs.k()*coeffs.amplitude; const scalar S = coeffs.deep() ? 0 : 1/cosh(2*kd); const scalar C0 = coeffs.celerity(); const scalar C4ByC0 = 1.0/32/pow5(1 - S) *(4 + 32*S - 116*sqr(S) - 400*pow3(S) - 71*pow4(S) + 146*pow5(S)); if (debug) { Info<< "C4 = " << C4ByC0*C0 << endl; } return Stokes2::celerity(coeffs) + pow4(ka)*C4ByC0*C0; } // * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * // Foam::waveModels::Stokes5::Stokes5 ( const dictionary& dict, const scalar g, const word& modelName, scalar (*celerityPtr)(const AiryCoeffs&) ) : Stokes2(dict, g, modelName, celerityPtr) {} // * * * * * * * * * * * * * * * * Destructor * * * * * * * * * * * * * * * // Foam::waveModels::Stokes5::~Stokes5() {} // * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * * // Foam::scalar Foam::waveModels::Stokes5::celerity() const { return celerity(coeffs()); } Foam::tmp Foam::waveModels::Stokes5::elevation ( const scalar t, const scalarField& x ) const { const AiryCoeffs coeffs = this->coeffs(); static const scalar kdGreat = log(great); const scalar kd = min(max(coeffs.k()*depth(), - kdGreat), kdGreat); const scalar ka = coeffs.k()*amplitude(t); const scalar S = coeffs.deep() ? 0 : 1/cosh(2*kd); const scalar T = coeffs.deep() ? 1 : tanh(kd); const scalar B31 = - 3.0/8/pow3(1 - S) *( 1 + 3*S + 3*sqr(S) + 2*pow3(S) ); const scalar B42 = 1.0/6/T/(3 + 2*S)/pow4(1 - S) *( 6 - 26*S - 182*sqr(S) - 204*pow3(S) - 25*pow4(S) + 26*pow5(S) ); const scalar B44 = 1.0/24/T/(3 + 2*S)/pow4(1 - S) *( 24 + 92*S + 122*sqr(S) + 66*pow3(S) + 67*pow4(S) + 34*pow5(S) ); const scalar B53 = 9.0/128/(3 + 2*S)/(4 + S)/pow6(1 - S) *( 132 + 17*S - 2216*sqr(S) - 5897*pow3(S) - 6292*pow4(S) - 2687*pow5(S) + 194*pow6(S) + 467*S*pow6(S) + 82*sqr(pow4(S)) ); const scalar B55 = 5.0/384/(3 + 2*S)/(4 + S)/pow6(1 - S) *( 300 + 1579*S + 3176*sqr(S) + 2949*pow3(S) + 1188*pow4(S) + 675*pow5(S) + 1326*pow6(S) + 827*S*pow6(S) + 130*sqr(pow4(S)) ); if (debug) { Info<< "B31 = " << B31 << endl << "B42 = " << B42 << endl << "B44 = " << B44 << endl << "B53 = " << B53 << endl << "B55 = " << B55 << endl; } const scalarField phi(coeffs.angle(phase(), t, x)); return Stokes2::elevation(t, x) + (1/coeffs.k()) *( pow3(ka)*B31*(cos(phi) - cos(3*phi)) + pow4(ka)*(B42*cos(2*phi) + B44*cos(4*phi)) + pow5(ka)*(- (B53 + B55)*cos(phi) + B53*cos(3*phi) + B55*cos(5*phi)) ); } Foam::tmp Foam::waveModels::Stokes5::velocity ( const scalar t, const vector2DField& xz ) const { const AiryCoeffs coeffs = this->coeffs(); static const scalar kdGreat = log(great); const scalar kd = min(max(coeffs.k()*depth(), - kdGreat), kdGreat); const scalar ka = coeffs.k()*amplitude(t); const scalar S = coeffs.deep() ? 0 : 1/cosh(2*kd); const scalar SByA11 = coeffs.deep() ? 0 : S*sinh(kd); const scalar A31ByA11 = 1.0/8/pow3(1 - S) *( - 4 - 20*S + 10*sqr(S) - 13*pow3(S) ); const scalar A33ByA11 = 1.0/8/pow3(1 - S) *( - 2*sqr(S) + 11*pow3(S) ); const scalar A42ByA11 = SByA11/24/pow5(1 - S) *( 12 - 14*S - 264*sqr(S) - 45*pow3(S) - 13*pow4(S) ); const scalar A44ByA11 = SByA11/48/(3 + 2*S)/pow5(1 - S) *( 10*sqr(S) - 174*pow3(S) + 291*pow4(S) + 278*pow5(S) ); const scalar A51ByA11 = 1.0/64/(3 + 2*S)/(4 + S)/pow6(1 - S) *( - 1184 + 32*S + 13232*sqr(S) + 21712*pow3(S) + 20940*pow4(S) + 12554*pow5(S) - 500*pow6(S) - 3341*S*pow6(S) - 670*sqr(pow4(S)) ); const scalar A53ByA11 = 1.0/32/(3 + 2*S)/pow6(1 - S) *( 4*S + 105*sqr(S) + 198*pow3(S) - 1376*pow4(S) - 1302*pow5(S) - 117*pow6(S) + 58*S*pow6(S) ); const scalar A55ByA11 = 1.0/64/(3 + 2*S)/(4 + S)/pow6(1 - S) *( - 6*pow3(S) + 272*pow4(S) - 1552*pow5(S) + 852*pow6(S) + 2029*S*pow6(S) + 430*sqr(pow4(S)) ); if (debug) { const scalar A11 = 1/sinh(kd); Info<< "A31 = " << A31ByA11*A11 << endl << "A33 = " << A33ByA11*A11 << endl << "A42 = " << A42ByA11*A11 << endl << "A44 = " << A44ByA11*A11 << endl << "A51 = " << A51ByA11*A11 << endl << "A53 = " << A53ByA11*A11 << endl << "A55 = " << A55ByA11*A11 << endl; } auto v = [&](const label i) { return coeffs.vi(i, phase(), t, xz); }; const vector2DField v1(v(1)), v3(v(3)); return Stokes2::velocity(t, xz) + Airy::celerity() *( pow3(ka)*(A31ByA11*v1 + A33ByA11*v3) + pow4(ka)*(A42ByA11*v(2) + A44ByA11*v(4)) + pow5(ka)*(A51ByA11*v1 + A53ByA11*v3 + A55ByA11*v(5)) ); } // ************************************************************************* //