Modelling and entropy satisfying relaxation scheme for the nonconservative bitemperature Euler system with transverse magnetic field
DUBROCA, Bruno
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Laboratoire des Composites Thermostructuraux [LCTS]
Centre d'études scientifiques et techniques d'Aquitaine (CESTA-CEA) [CESTA]
Institut de Mathématiques de Bordeaux [IMB]
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Laboratoire des Composites Thermostructuraux [LCTS]
Centre d'études scientifiques et techniques d'Aquitaine (CESTA-CEA) [CESTA]
Institut de Mathématiques de Bordeaux [IMB]
DUBROCA, Bruno
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Laboratoire des Composites Thermostructuraux [LCTS]
Centre d'études scientifiques et techniques d'Aquitaine (CESTA-CEA) [CESTA]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Laboratoire des Composites Thermostructuraux [LCTS]
Centre d'études scientifiques et techniques d'Aquitaine (CESTA-CEA) [CESTA]
Institut de Mathématiques de Bordeaux [IMB]
Language
EN
Article de revue
This item was published in
Computers and Fluids. 2020-10-01, vol. 214, n° 15, p. 104743
English Abstract
The present paper concerns the study of the nonconservative bitemperature Euler system with transverse magnetic field. We firstly introduce an underlying conservative kinetic model coupled to Maxwell equations. The ...Read more >
The present paper concerns the study of the nonconservative bitemperature 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.Read less <
English Keywords
BGK models
Hydrodynamic limit
Relaxation method
Nonconservative hyperbolic system
Discrete entropy inequalities
Discrete entropy minimum principle