Finite-volume solvers for a multilayer Saint-Venant system
Emmanuel Audusse; Marie-Odile Bristeau
International Journal of Applied Mathematics and Computer Science (2007)
- Volume: 17, Issue: 3, page 311-320
- ISSN: 1641-876X
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topAudusse, Emmanuel, and Bristeau, Marie-Odile. "Finite-volume solvers for a multilayer Saint-Venant system." International Journal of Applied Mathematics and Computer Science 17.3 (2007): 311-320. <http://eudml.org/doc/207838>.
@article{Audusse2007,
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 D hydrostatic Navier-Stokes equations.},
author = {Audusse, Emmanuel, Bristeau, Marie-Odile},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {shallow water equations; Saint-Venant system; approximate Riemann solvers; kinetic solver; finite volumes; multilayer model; hyperbolic shallow water models},
language = {eng},
number = {3},
pages = {311-320},
title = {Finite-volume solvers for a multilayer Saint-Venant system},
url = {http://eudml.org/doc/207838},
volume = {17},
year = {2007},
}
TY - JOUR
AU - Audusse, Emmanuel
AU - Bristeau, Marie-Odile
TI - Finite-volume solvers for a multilayer Saint-Venant system
JO - International Journal of Applied Mathematics and Computer Science
PY - 2007
VL - 17
IS - 3
SP - 311
EP - 320
AB - 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 D hydrostatic Navier-Stokes equations.
LA - eng
KW - shallow water equations; Saint-Venant system; approximate Riemann solvers; kinetic solver; finite volumes; multilayer model; hyperbolic shallow water models
UR - http://eudml.org/doc/207838
ER -
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- Emmanuel Audusse, Marie-Odile Bristeau, Benoît Perthame, Jacques Sainte-Marie, A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation
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