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.

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

References in corpus (1)

• Practical use of variational principles for modeling water waves

Cited by in corpus (5)

• Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
• Modified Shallow Water Equations for significantly varying seabeds
• On the Galilean invariance of some dispersive wave equations
• Modeling water waves beyond perturbations
• Remarks on dispersion-improved shallow water equations with uneven bottom