Stokes V

Properties

• Regular waves

Model equations

The wave height is modelled by the equation:

$$\eta = \frac{\lambda}{k} \cos (k x -\omega t + \phi) + \frac{(\lambda^2 B_{22} + \lambda^4 B_{24})}{\lambda} \cos\left(2(k x - \omega t + \phi)\right) + \frac{(\lambda^3 B_{33} + \lambda^5 B_{35})}{\lambda} \cos\left(3(k x - \omega t + \phi)\right) + \frac{(\lambda^4 B_{44})}{\lambda} \cos\left(4(k x - \omega t + \phi)\right) + \frac{(\lambda^5 B_{55})}{\lambda} \cos\left(5(k x - \omega t + \phi)\right)$$

Where:

$\lambda$ : first order wave amplitude

$k$ : wave number

$\omega$ : angular frequency

$\phi$ : phase shift

$B_{xx}$ : coefficients in the fifth order solution

$t$ : time

Default model coefficients

Usage

Inlet patch example

<patch>
{
    alpha           alpha.water;
    waveModel       StokesV;
    nPaddle         1;
    waveHeight      0.1;
    waveAngle       0.0;
    rampTime        4.0;
    activeAbsorption yes;
    wavePeriod      2.0;
}

Further information

Source code:

• Foam::waveModels::StokesV

References:

• ...

Tutorials:

• stokesV