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]
< Leer menos
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]
Idioma
en
Document de travail - Pré-publication
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
nonconservative hyperbolic system
discrete BGK approximation
discontinuous Galerkin methods
Runge-Kutta methods AMS subject classification
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