Shallow water equations for large bathymetry variations

Details Shallow water equations for large bathymetry variations Shallow water equations for large bathymetry variations

2011-03-28

arxiv.org/abs/1103.5292v3

J. Phys. A: Math. Theor. 44, 33 (2011) 332001

Physics

Classical Physics

7 pages. Other author's papers can be downloaded at http://www.lama.univ-savoie.fr/~dutykh/

Scientific paper

10.1088/1751-8113/44/33/332001

In this study, we propose an improved version of the nonlinear shallow water (or Saint-Venant) equations. This new model is designed to take into account the effects resulting from the large spacial and/or temporal variations of the seabed. The model is derived from a variational principle by choosing the appropriate shallow water ansatz and imposing suitable constraints. Thus, the derivation procedure does not explicitly involve any small parameter.

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