<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Finite-Volume Solvers for a Multilayer Saint-Venant System

Université Paris, 13, 99 avenue J.B. Clément, 93430 Villetaneuse, France

INRIA, Project Bang, Domaine de Voluceau, 78153 Le Chesnay, France

International Journal of Applied Mathematics and Computer Science

{"article-title":"Finite-Volume Solvers for a Multilayer Saint-Venant System"}

We consider the numerical investigation of two hyperbolic shallow water models. We focus on the treatment of the hyperbolic part. We first recall some...

Finite-Volume Solvers for a Multilayer Saint-Venant System

Published Online: Oct 11, 2007

Page range: 311 - 320

DOI: https://doi.org/10.2478/v10006-007-0025-0

Keywords
Saint-Venant system, shallow water equations, finite volumes, kinetic solver, approximate Riemann solvers, multilayer model

This content is open access.

Finite-Volume Solvers for a Multilayer Saint-Venant System

Published Online: Oct 11, 2007

Page range: 311 - 320

DOI: https://doi.org/10.2478/v10006-007-0025-0

KeywordsSaint-Venant system, shallow water equations, finite volumes, kinetic solver, approximate Riemann solvers, multilayer model

This content is open access.

Keywords
Saint-Venant system, shallow water equations, finite volumes, kinetic solver, approximate Riemann solvers, multilayer model