A KINETIC APPROACH OF THE BI-TEMPERATURE EULER MODEL
Language
en
Article de revue
This item was published in
Kinetic and Related Models. 2020
AIMS
English Abstract
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 ...Read more >
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).Read less <
Origin
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