Study of the mixed finite volume method for Stokes and Navier-Stokes equations

Abstract : We present finite volume schemes for Stokes and Navier-Stokes equations. These schemes are based on the mixed finite volume introduced in [6], and can be applied on any type of grid (without ``orthogonality'' assumptions as for classical finite volume methods) and in any space dimension. We present numerical results on some irregular grids, and we prove, for both Stokes and Navier-Stokes equations, the convergence of the scheme toward a solution of the continuous problem.
Type de document :
Article dans une revue
Numerical Methods for Partial Differential Equations, Wiley, 2008, 〈10.1002/num.20333〉
Liste complète des métadonnées

Littérature citée [17 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-00110911
Contributeur : Jerome Droniou <>
Soumis le : jeudi 2 novembre 2006 - 14:44:54
Dernière modification le : mardi 3 juillet 2018 - 13:50:04
Document(s) archivé(s) le : jeudi 20 septembre 2012 - 14:15:31

Fichier

Identifiants

Citation

Jerome Droniou, Robert Eymard. Study of the mixed finite volume method for Stokes and Navier-Stokes equations. Numerical Methods for Partial Differential Equations, Wiley, 2008, 〈10.1002/num.20333〉. 〈hal-00110911〉

Partager

Métriques

Consultations de la notice

407

Téléchargements de fichiers

308