A hybrid kinetic-fluid model for solving the gas dynamics Boltzmann-BGK equation

Nicolas Crouseilles (1) , Pierre Degond (1) , Mohammed Lemou (1)

1 MIP - Mathématiques pour l'Industrie et la Physique

Our purpose s toderive a hybrid model for particles systems which combines a kinetic description of the fast particles with a fluid description of the thermal ones. Fats particles will be described through a collisional kinetic equation of Boltzmann-BGK type while thermal particles will be modeled by means of a system of a Euler type equations. A conservative numerical scheme is constructed and enables us to validate the approach on various numerical tests.

Mots clés: BGK equation; Euler equations; entropy minimization principle; kinetic-hydrodynamics coupling; numerical scheme

Domaines: Physique mathématique [math-ph]

Nicolas Crouseilles, Pierre Degond, Mohammed Lemou. A hybrid kinetic-fluid model for solving the gas dynamics Boltzmann-BGK equation. Journal of Computational Physics, 2004, 199, pp.776-808. ⟨hal-00139687⟩