| Issue |
ESAIM: ProcS
Volume 64, 2018
SMAI 2017 - 8e Biennale Française des Mathématiques Appliquées et Industrielles
|
|
|---|---|---|
| Page(s) | 1 - 16 | |
| DOI | https://doi.org/10.1051/proc/201864001 | |
| Published online | 20 November 2018 | |
Nonconservative hyperbolic systems in fluid mechanics
1 e-mail: Denise.Aregba@math.u-bordeaux.fr
2 e-mail: Stephane.Brull@math.u-bordeaux.fr
3 e-mail: xavier.lhebrard@gmail.com
This paper is devoted to the numerical approximation of nonconservative hyperbolic systems. More precisely, we consider the bitemperature Euler system and we propose two methods of discretization. The first one is a kinetic approach based on an underlying kinetic model. The second one deals with a Suliciu approach when magnetic fields are taken into account.
Résumé
Cet article est consacré à l'approximation numérique de systèmes hyperboliques non conservatifs. On considère plus précisément le système d'Euler bitempérature pour lequel on a développé deux méthodes de discrétisation. La premiére approche est basée sur l'approximation d'un modèle cinétique sous-jacent tandis que la seconde correspond à une méthode de type Suliciu, lorsque les champs magnétiques sont pris en compte.
© EDP Sciences, SMAI 2018
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