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Reports (Research Report) Year : 2000

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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Dates and versions

inria-00072549 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00072549 , version 1

Cite

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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