Finite-Volume Solvers for a Multilayer Saint-Venant System

Author:

Audusse Emmanuel,Bristeau Marie-Odile

Abstract

Finite-Volume Solvers for a Multilayer Saint-Venant SystemWe 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference26 articles.

1. A multilayer Saint-Venant model;E Audusse;Discrete and Continuous Dynamical Systems, Series B,2005

2. A well-balanced positivity preserving second order scheme for shallow water flows on unstructured meshes;E. Audusse;Journal of Computational Physics,2005

3. 3D free surface flows simulations using a multilayer Saint-Venant model - Comparisons with Navier-Stokes solutions;E. Audusse,2006a

4. Conservative and well-balanced discretizations for shallow water flows on rotational domains;E. Audusse,2006b

5. Audusse E., Bristeau M.O. and Decoene A. (2007): Numerical simulations of 3D free surface flows by a multilayer Saint-Venant model. (submitted).

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