Chapter

Advances in Hydroinformatics

Part of the series Springer Hydrogeology pp 189-196

Date:

A Non-Hydrostatic Non-Dispersive Shallow Water Model

  • Didier Clamond Affiliated withLaboratoire J.-A. Dieudonné Parc Valrose, Université de Nice – Sophia Antipolis Email author 
  • , Denys DutykhAffiliated withUniversité de Savoie, Laboratoire de Mathématiques Appliquées Campus Scientifique

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Abstract

An improvement of the nonlinear shallow water (or Saint-Venant) equations is proposed. The 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.

Keywords

Varying bathymetry Steep bottom Modified Saint-Venant equations.