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Article Dans Une Revue Kinetic and Related Models Année : 2020

A KINETIC APPROACH OF THE BI-TEMPERATURE EULER MODEL

Résumé

We are interested in the numerical approximation of the bi-temperature Euler equations, which is a non conservative hyperbolic system introduced in [3]. We consider a conservative underlying kinetic model, the Vlasov-BGK-Poisson system. We perform a scaling on this system in order to obtain its hydrodynamic limit. We present a deterministic numerical method to approximate this kinetic system. The method is shown to be Asymptotic-Preserving in the hydrodynamic limit, which means that any stability condition of the method is indepen-dant of any parameter Á, with Á ae 0. We prove that the method is, under appropriate choices, consistant with the solution for bi-temperature Euler. Finally, our method is compared to methods for the fluid model (HLL, Suliciu).
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Dates et versions

hal-02476766 , version 1 (12-02-2020)

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  • HAL Id : hal-02476766 , version 1

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Stéphane Brull, Bruno Dubroca, Corentin Prigent. A KINETIC APPROACH OF THE BI-TEMPERATURE EULER MODEL. Kinetic and Related Models , 2020. ⟨hal-02476766⟩
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