Shallow water equations for large bathymetry variations
Classical Physics
2020-02-20 v3 Analysis of PDEs
Exactly Solvable and Integrable Systems
Atmospheric and Oceanic Physics
Fluid Dynamics
Abstract
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.
Cite
@article{arxiv.1103.5292,
title = {Shallow water equations for large bathymetry variations},
author = {Denys Dutykh and Didier Clamond},
journal= {arXiv preprint arXiv:1103.5292},
year = {2020}
}
Comments
7 pages. Other author's papers can be downloaded at http://www.lama.univ-savoie.fr/~dutykh/