Derivation of a non-hydrostatic shallow water model; Comparison with Saint-Venant and Boussinesq systemsReport as inadecuate




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1 MACS - Modeling, analysis and control in computational structural dynamics Inria Paris-Rocquencourt 2 BANG - Nonlinear Analysis for Biology and Geophysical flows LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt

Abstract : From the free surface Navier-Stokes system, we derive the non-hydrostatic Saint-Venant system for the shallow waters including friction and viscosity. The derivation leads to two formulations of growing complexity depending on the level of approximation chosen for the fluid pressure. The obtained models are compared with the Boussinesq models.

Mots-clés : Navier-Stokes equations Saint-Venant equations Boussinesq equations Free surface Dispersive terms





Author: Jacques Sainte-Marie - Marie-Odile Bristeau -

Source: https://hal.archives-ouvertes.fr/



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