Properties🔗
- Solitary wave
Model equations🔗
The wave height is modelled by the equation:
\[\eta = 1 + \epsilon s^2 + \frac{3}{4} \epsilon^2 s^2 t^2 + \epsilon^3 \left( \frac{5}{8} s^2 t^2 - \frac{101}{80} s^4 t^2\right)\]and
\[\epsilon = \frac{a}{h}; s = \mathrm{sech} (\alpha x); t = \tanh(\alpha x); \alpha = \sqrt{\frac{3}{4} \epsilon} \left( 1 - \frac{5}{8} \epsilon + \frac{71}{128}\epsilon^2 \right)\]Where:
- \(h\)
- water depth
- \(a\)
- wave amplitude
- \(t\)
- time
Default model coefficients🔗
Usage🔗
Inlet patch example
<patch>
{
alpha alpha.water;
waveModel Grimshaw;
nPaddle 1;
waveHeight 0.05;
waveAngle 0.0;
activeAbsorption no;
}
Further information🔗
Source code:
References:
- …
Tutorials: