|August 24, 2016, 07:04||
I have some questions about the 2D SWE (Shallow Water Equations).
I would like to know if an exact (analytical) solution is available in the case of the (linear) surface "gravity" wave.
Indeed, my example of interest is given by a square , with initial velocity field and an initial Gaussian perturbation of the free surface elevation placed in the center of the domain:
I know that, in 1D, a simple exact solution is available, which derives from a linearization of the Sain-Venant equations.
Can you give me some references? (I am studying on Leveque, "Finite Volume methods for hyperbolic Problems" 2004)
|surface gravity wave, swe|
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