A Class of Approximate Riemann Solvers and Their Relation to Relaxation Schemes

Abstract : We show that a simple relaxation scheme of the type proposed by Jin and Xin [Comm. Pure Appl. Math. 48, 235 (1995)] can be reinterpreted as defining a particular approximate Riemann solver for the original system of m conservation laws. Based on this observation, a more general class of approximate Riemann solvers is proposed which allows as many as 2m waves in the resulting solution. These solvers are related to more general relaxation systems and connections with several other standard solvers are explored. The added flexibility of 2m waves may be advantageous in deriving new methods. Some potential applications are explored for problems with discontinuous flux functions or source terms.
Type de document :
Article dans une revue
Journal of Computational Physics, Elsevier, 2001, 172, pp. 572-591. 〈10.1006/jcph.2001.6838〉
Liste complète des métadonnées

https://hal-ensta.archives-ouvertes.fr/hal-01342280
Contributeur : Marica Pelanti <>
Soumis le : mardi 5 juillet 2016 - 16:15:50
Dernière modification le : lundi 6 novembre 2017 - 11:12:10

Lien texte intégral

Identifiants

Collections

Citation

Randall Leveque, Marica Pelanti. A Class of Approximate Riemann Solvers and Their Relation to Relaxation Schemes. Journal of Computational Physics, Elsevier, 2001, 172, pp. 572-591. 〈10.1006/jcph.2001.6838〉. 〈hal-01342280〉

Partager

Métriques

Consultations de la notice

45