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Shallow water equations for large bathymetry variations

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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https://hal.archives-ouvertes.fr/hal-00580310
Contributor : Denys Dutykh <>
Submitted on : Wednesday, July 6, 2011 - 12:58:21 PM
Last modification on : Tuesday, May 26, 2020 - 6:50:08 PM
Long-term archiving on: : Friday, October 7, 2011 - 2:25:59 AM

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Denys Dutykh, Didier Clamond. Shallow water equations for large bathymetry variations. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2011, 44 (33), pp.332001. ⟨10.1088/1751-8113/44/33/332001⟩. ⟨hal-00580310v3⟩

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