A hybrid kinetic-fluid model for solving the Vlasov-BGK equation

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

1 MIP - Mathématiques pour l'Industrie et la Physique

Our purpose is to derive a model for charged particles which combines a kinetic description of the fast prticles with a fluid description for the slow ones. This paper generalizes a similar approach where the hybrid approach was applied to gas dynamics. In this work, we consider the effect of a self-consistent electric field together with a more realistic collision operator of BGK type. A numerical scheme is constructed to simulate the hybrid Vlasov-Euler model, and various test cases are presented.

Mots clés: Vlasov equation; Euler equations; entropy minimization principle; kinetic-hydrodynamic coupling; numerical schemes

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Nicolas Crouseilles, Pierre Degond, Mohammed Lemou. A hybrid kinetic-fluid model for solving the Vlasov-BGK equation. Journal of Computational Physics, 2005, 203, pp.572-601. ⟨hal-00139686⟩