Shallow water equations for large bathymetry variations

Denys Dutykh, Didier Clamond

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

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 spatial 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.

Original languageBritish English
Article number332001
JournalJournal of Physics A: Mathematical and Theoretical
Volume44
Issue number33
DOIs
StatePublished - 19 Aug 2011

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