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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Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2001, 1 (1), pp.89-102. 〈http://www.aimsciences.org/journals/displayArticles.jsp?paperID=495〉. 〈10.3934/dcdsb.2001.1.89〉
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https://hal.inria.fr/hal-00691701
Contributeur : Jean-Frédéric Gerbeau <>
Soumis le : jeudi 26 avril 2012 - 18:58:04
Dernière modification le : vendredi 25 mai 2018 - 12:02:05

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Jean-Frédéric Gerbeau, Benoît Perthame. Derivation of Viscous Saint-Venant System for Laminar Shallow Water ; Numerical Validation. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2001, 1 (1), pp.89-102. 〈http://www.aimsciences.org/journals/displayArticles.jsp?paperID=495〉. 〈10.3934/dcdsb.2001.1.89〉. 〈hal-00691701〉

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