Stream function

Properties

• Regular waves

Model equations

The wave height is modelled by the equation:

$$\eta = h \sum\limits_{j=1}^N E_j \cos \left( j (k x - \omega t + \phi) \right)$$

Where:

$h$ : water depth

$E_j$ : Fourrier coefficients of the computed free surface

$k$ : wave number

$\omega$ : angular frequency

$\phi$ : phase shift

$t$ : time

Default model coefficients

Usage

Inlet patch example

<patch>
{
    alpha           alpha.water;
    waveModel       streamFunction;
    nPaddle         1;
    waveHeight      0.1517;
    waveAngle       0.0;
    rampTime        6.034;
    activeAbsorption yes;
    wavePeriod      3.017;
    uMean           2.0825;
    waveLength      6.2832;

    Bjs
    (
        8.6669014e-002
        2.4849799e-002
        7.7446850e-003
        2.3355420e-003
        6.4497731e-004
        1.5205114e-004
        2.5433769e-005
       -2.2045436e-007
       -2.8711504e-006
       -1.2287334e-006
    );

    Ejs
    (
        5.6009609e-002
        3.1638171e-002
        1.5375952e-002
        7.1743178e-003
        3.3737077e-003
        1.6324880e-003
        8.2331980e-004
        4.4403497e-004
        2.7580059e-004
        2.2810557e-004
    );
}

Further information

Source code:

• Foam::waveModels::streamFunction

References:

• ...

Tutorials:

• streamFunction