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

Abstract : 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.
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https://hal.inria.fr/inria-00072549
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 10:15:15 AM
Last modification on : Tuesday, November 17, 2020 - 10:26:08 AM
Long-term archiving on: : Sunday, April 4, 2010 - 8:47:16 PM

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  • HAL Id : inria-00072549, version 1

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Jean-Frédéric Gerbeau, Benoît Perthame. Derivation of Viscous Saint-Venant System for Laminar Shallow Water; Numerical Validation. [Research Report] RR-4084, INRIA. 2000. ⟨inria-00072549⟩

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