Finite-Volume Solvers for a Multilayer Saint-Venant System

Emmanuel Audusse; Marie-Odile Bristeau

doi:10.2478/v10006-007-0025-0

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Finite-Volume Solvers for a Multilayer Saint-Venant System

International Journal of Applied Mathematics and Computer Science

Volume 17 (2007): Issue 3 (September 2007)

By: Emmanuel Audusse and Marie-Odile Bristeau

Open Access

|Oct 2007

Abstract

We consider the numerical investigation of two hyperbolic shallow water models. We focus on the treatment of the hyperbolic part. We first recall some efficient finite volume solvers for the classical Saint-Venant system. Then we study their extensions to a new multilayer Saint-Venant system. Finally, we use a kinetic solver to perform some numerical tests which prove that the 2D multilayer Saint-Venant system is a relevant alternative to 3D hydrostatic Navier-Stokes equations.

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