Properties🔗

• Regular waves

Model equations🔗

The wave height is modelled by the equation:

\[\eta = H \left[ \frac{1}{m} \left( 1 - \frac{E(m)}{K(m)} \right) - 1 + cn^2\left( 2 K(m) \frac{x - ct}{\lambda} \right) \right]\]

Where:

\(\lambda\)

wavelength

\(m\)

elliptic parameter that depends on the wave characteristic

\(K(m)\)

complete elliptic integral of the first kind

\(E(m)\)

complete elliptic integral of the second kind

\(cn\)

Jacobi’s elliptic functions

\(c\)

wave celerity

\(H\)

wave height

\(t\)

time

Default model coefficients🔗

Usage🔗

Inlet patch example

<patch>
{
    alpha           alpha.water;
    waveModel       cnoidal;
    nPaddle         1;
    waveHeight      0.1;
    waveAngle       0.0;
    rampTime        6.0;
    activeAbsorption yes;
    wavePeriod      4.0;
}

Further information🔗

Source code:

• Foam::waveModels::cnoidal

References:

• …

Tutorials:

• $FOAM_TUTORIALS/multiphase/interFoam/laminar/waves/cnoidal