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OpenFOAM-dev / data /src /waves /waveModels /Airy /AiryCoeffs.C
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/*---------------------------------------------------------------------------*\
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2017-2023 OpenFOAM Foundation
\\/ M anipulation |
-------------------------------------------------------------------------------
License
This file is part of OpenFOAM.
OpenFOAM is free software: you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with OpenFOAM. If not, see <http://www.gnu.org/licenses/>.
\*---------------------------------------------------------------------------*/
#include "AiryCoeffs.H"
#include "mathematicalConstants.H"
// * * * * * * * * * * * Private Static Member Functions * * * * * * * * * * //
Foam::scalar Foam::waveModels::AiryCoeffs::calcLength
(
const scalar depth,
const scalar amplitude,
const scalar period,
const scalar g,
scalar (*celerityPtr)(const AiryCoeffs&)
)
{
scalar length0 = 0;
scalar length1 = 1.5*g*sqr(period)/(2*constant::mathematical::pi);
// Bisect down to round off error to find the wave length
for (label i = 0; i < ceil(std::log2(1/small)); ++ i)
{
const scalar length = (length0 + length1)/2;
const scalar t =
length/celerityPtr(AiryCoeffs(depth, amplitude, length, g));
(t < period ? length0 : length1) = length;
}
return (length0 + length1)/2;
}
// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
Foam::waveModels::AiryCoeffs::AiryCoeffs
(
const scalar depth,
const scalar amplitude,
const scalar length,
const scalar g
)
:
depth(depth),
amplitude(amplitude),
length(length),
g(g)
{}
Foam::waveModels::AiryCoeffs::AiryCoeffs
(
const scalar depth,
const scalar amplitude,
const scalar period,
const scalar g,
scalar (*celerityPtr)(const AiryCoeffs&)
)
:
depth(depth),
amplitude(amplitude),
length(calcLength(depth, amplitude, period, g, celerityPtr)),
g(g)
{}
// * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * * //
Foam::scalar Foam::waveModels::AiryCoeffs::k() const
{
return 2*Foam::constant::mathematical::pi/length;
}
bool Foam::waveModels::AiryCoeffs::deep() const
{
return depth*k() > log(great);
}
Foam::scalar Foam::waveModels::AiryCoeffs::celerity(const AiryCoeffs& coeffs)
{
return sqrt(coeffs.g/coeffs.k()*tanh(coeffs.k()*coeffs.depth));
}
Foam::scalar Foam::waveModels::AiryCoeffs::celerity() const
{
return celerity(*this);
}
Foam::tmp<Foam::scalarField> Foam::waveModels::AiryCoeffs::angle
(
const scalar phase,
const scalar t,
const scalarField& x
) const
{
return phase + k()*(x - celerity()*t);
}
Foam::tmp<Foam::scalarField> Foam::waveModels::AiryCoeffs::elevation
(
const scalar phase,
const scalar t,
const scalarField& x
) const
{
return amplitude*cos(angle(phase, t, x));
}
Foam::tmp<Foam::vector2DField> Foam::waveModels::AiryCoeffs::vi
(
const label i,
const scalar phase,
const scalar t,
const vector2DField& xz
) const
{
const scalarField x(xz.component(0));
const scalarField z(xz.component(1));
const scalarField phi(angle(phase, t, x));
const scalar kzGreat = log(i*great);
const scalarField kz(min(max(k()*z, - kzGreat), kzGreat));
if (deep())
{
return i*exp(kz)*zip(cos(i*phi), sin(i*phi));
}
else
{
const scalar kd = k()*depth;
const scalarField kdz(max(scalar(0), kd + kz));
return i*zip(cosh(i*kdz)*cos(i*phi), sinh(i*kdz)*sin(i*phi))/sinh(kd);
}
}
Foam::tmp<Foam::vector2DField> Foam::waveModels::AiryCoeffs::velocity
(
const scalar phase,
const scalar t,
const vector2DField& xz
) const
{
const scalar ka = k()*amplitude;
return celerity()*ka*vi(1, phase, t, xz);
}
// ************************************************************************* //