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arXiv · 1103.5292

Shallow water equations for large bathymetry variations

Denys Dutykh·Didier Clamond
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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.

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Denys Dutykh, Didier Clamond. 2011-03-28. Shallow water equations for large bathymetry variations. https://doi.org/10.1088/1751-8113%2F44%2F33%2F332001

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