A kinetic discontinuous Galerkin method for the nonconservative bitemperature Euler model
BOUHARGUANE, Afaf
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]
BOUHARGUANE, Afaf
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Document de travail - Pré-publication
English 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 ...Read more >
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.Read less <
English Keywords
nonconservative hyperbolic system
discrete BGK approximation
discontinuous Galerkin methods
Runge-Kutta methods AMS subject classification
Origin
Hal imported