A Non-Hydrostatic Non-Dispersive Shallow Water Model

Chapter
Part of the Springer Hydrogeology book series (SPRINGERHYDRO)

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. 

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Copyright information

© Springer Science+Business Media Singapore 2014

Authors and Affiliations

  1. 1.Laboratoire J.-A. Dieudonné Parc ValroseUniversité de Nice – Sophia AntipolisNiceFrance
  2. 2.Université de Savoie, Laboratoire de Mathématiques Appliquées Campus ScientifiqueLeBourget-du-Lac CedexFrance

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