A KINETIC DISCONTINUOUS GALERKIN METHOD FOR THE NONCONSERVATIVE BITEMPERATURE EULER MODEL - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
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A KINETIC DISCONTINUOUS GALERKIN METHOD FOR THE NONCONSERVATIVE BITEMPERATURE EULER MODEL

Abstract

This paper is devoted to the construction of a discontinuous Galerkin discretisation (DG) for the nonconservative bitemperature Euler system via a a discrete BGK formulation. This formulation is compatible with the entropy properties of the system and thus provides admissible solutions. The DG method is used to approximate the linear transport part of the BGK model while the force and source-terms are treated implicitly but with explicit expressions. High order in time has also been investigated using SSP Runge-Kutta methods. We numerically show the good agreement of our results with the ones provided by other schemes, including solutions with shocks.
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Dates and versions

hal-03903352 , version 1 (16-12-2022)

Identifiers

  • HAL Id : hal-03903352 , version 1

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Denise Aregba-Driollet, Afaf Bouharguane, Stéphane Brull. A KINETIC DISCONTINUOUS GALERKIN METHOD FOR THE NONCONSERVATIVE BITEMPERATURE EULER MODEL. 2022. ⟨hal-03903352⟩
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