Derivation of Viscous Saint-Venant System for Laminar Shallow Water ; Numerical Validation - Laboratoire Jacques-Louis Lions Accéder directement au contenu
Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series B Année : 2001

Derivation of Viscous Saint-Venant System for Laminar Shallow Water ; Numerical Validation

Résumé

We derive the Saint-Venant system for the shallow waters including small friction, viscosity and Coriolis-Boussinesq factor departing from the Navier-Stokes system with a free moving boundary. This derivation relies on the hydrostatic approximation where we follow the role of viscosity and friction on the bottom. Numerical comparisons between the limiting Saint-Venant system and direct Navier-Stokes simulation allow to validate this derivation.

Dates et versions

hal-00691701 , version 1 (26-04-2012)

Identifiants

Citer

Jean-Frédéric Gerbeau, Benoît Perthame. Derivation of Viscous Saint-Venant System for Laminar Shallow Water ; Numerical Validation. Discrete and Continuous Dynamical Systems - Series B, 2001, 1 (1), pp.89-102. ⟨10.3934/dcdsb.2001.1.89⟩. ⟨hal-00691701⟩
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