Modelling and entropy satisfying relaxation scheme for the nonconservative bitemperature Euler system with transverse magnetic field
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Document de travail - Pré-publication
Resumen en inglés
The present paper concerns the study of the nonconservative bitem-perature Euler system with transverse magnetic field. We firstly introduce an underlying conservative kinetic model coupled to Maxwell equations. The ...Leer más >
The present paper concerns the study of the nonconservative bitem-perature Euler system with transverse magnetic field. We firstly introduce an underlying conservative kinetic model coupled to Maxwell equations. The nonconservative bitemperature Euler system with transverse magnetic field is then established from this kinetic model by hydrodynamic limit. Next we present the derivation of a finite volume method to approximate weak solutions. It is obtained by solving a relaxation system of Suliciu type, and is similar to HLLC type solvers. The solver is shown in particular to preserve positivity of density and internal energies. Moreover we use a local minimum entropy principle to prove discrete entropy inequalities, ensuring the robustness of the scheme.< Leer menos
Palabras clave en inglés
BGK models
hydrodynamic limit
relaxation method
non-conservative hyperbolic system
discrete entropy inequalities
discrete entropy minimum principle
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