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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:203

Article

Crouseilles, N ; Degond, P ; Lemou, M

关键词: Vlasov equation;    Euler equations;    entropy minimization principle;    kinetic-hydrodynamic coupling;    numerical schemes;   

DOI  :  10.1016/j.jcp.2004.09.006

来源: Elsevier

【 摘 要 】

Our purpose is to derive a model for charged particles which combines a kinetic description of the fast particles with a fluid description of the slow ones. In a previous paper, a similar model was derived from a kinetic BGK equation that uses a constant relaxation time and does not include the effect of an electric field. In this paper, we consider a more general kinetic equation including an electric field and a varying relaxation time. Fast particles will be described through a collisional kinetic equation of Vlasov-BGK type while thermal particles will be modeled by a hydrodynamic model. Then, we construct a numerical scheme for this model and validate the approach by presenting various numerical tests. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free