Advances in Hydroinformatics

Part of the series Springer Hydrogeology pp 189-196


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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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.


Varying bathymetry Steep bottom Modified Saint-Venant equations.