Nonconservative hyperbolic systems in fluid mechanics

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 S...

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Bibliographic Details
Published in:ESAIM. Proceedings and surveys 2018, Vol.64, p.1-16
Main Authors: Aregba-Driollet, Denise, Brull, Stéphane, Lhébrard, Xavier
Format: Article
Language:English
Subjects:
Approximation
Computational fluid dynamics
Fluid mechanics
Hyperbolic systems
Mathematical analysis
Mathematical models
Mathematics
Numerical Analysis
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Summary: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. 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.
ISSN:2267-3059
2267-3059
DOI:10.1051/proc/201864001