The DFLU flux for systems of conservation laws

Abstract : The DFLU numerical flux was introduced in order to solve hyperbolic scalar conservation laws with a flux function discontinuous in space. We show how this flux can be used to solve certain class of systems of conservation laws such as systems modeling polymer flooding in oil reservoir engineering. Furthermore, these results are extended to the case where the flux function is discontinuous in the space variable. Such a situation arises for example while dealing with oil reservoirs which are heterogeneous. Numerical experiments are presented to illustrate the efficiency of this new scheme compared to other standard schemes like upstream mobility, Lax-Friedrichs and Force schemes.
Type de document :
Article dans une revue
Journal of Computational and Applied Mathematics, Elsevier, 2013, 247, pp.102-123. 〈10.1016/j.cam.2012.12.025〉
Liste complète des métadonnées

Littérature citée [39 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-00922936
Contributeur : Jérôme Jaffré <>
Soumis le : mardi 31 décembre 2013 - 15:51:19
Dernière modification le : mercredi 29 novembre 2017 - 15:09:29
Document(s) archivé(s) le : lundi 31 mars 2014 - 22:15:28

Fichiers

RR-8442.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Adi Adimurthi, G. D. Veerappa Gowda, Jérôme Jaffré. The DFLU flux for systems of conservation laws. Journal of Computational and Applied Mathematics, Elsevier, 2013, 247, pp.102-123. 〈10.1016/j.cam.2012.12.025〉. 〈hal-00922936〉

Partager

Métriques

Consultations de la notice

262

Téléchargements de fichiers

219