A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows

Abstract : We consider the Saint-Venant system for shallow water flows with nonflat bottom. In past years, efficient well-balanced methods have been proposed in order to well resolve solutions close to steady states at rest. Here we describe a strategy based on a local subsonic steady state reconstruction that allows one to derive a subsonic-well-balanced scheme, preserving exactly all the subsonic steady states. It generalizes the now well-known hydrostatic solver, and like the latter it preserves the nonnegativity of the water height and satisfies a semidiscrete entropy inequality. An application to the Euler-Poisson system is proposed.
Type de document :
Article dans une revue
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2010, 48 (5), pp.1733-1758. 〈10.1137/090758416〉
Liste complète des métadonnées

Littérature citée [21 références]  Voir  Masquer  Télécharger

https://hal-upec-upem.archives-ouvertes.fr/hal-00693032
Contributeur : Admin Lama <>
Soumis le : mardi 1 mai 2012 - 19:38:55
Dernière modification le : jeudi 11 janvier 2018 - 06:12:17

Fichier

FBTMLA.pdf
Fichiers produits par l'(les) auteur(s)

Licence


Distributed under a Creative Commons Paternité 4.0 International License

Identifiants

Citation

François Bouchut, Tomás Morales De Luna. A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2010, 48 (5), pp.1733-1758. 〈10.1137/090758416〉. 〈hal-00693032〉

Partager

Métriques

Consultations de la notice

126

Téléchargements de fichiers

29