CONSERVATIVE SEMI-LAGRANGIAN SCHEMES FOR A GENERAL CONSISTENT BGK MODEL FOR INERT GAS MIXTURES

In this work, we propose a class of high order semi-Lagrangian scheme for a general consistent BGK model for inert gas mixtures. The proposed scheme not only fulfills indifferentiability principle, but also asymptotic preserving property, which allows us to capture the behaviors of hydro- dynamic limit models. We consider two hydrodynamic closures which can be derived from the BGK model at leading order: classical Euler equations for number densities, global velocity and temperature, and a multi-velocities and temperatures Euler system. Numerical simulations are performed to demon- strate indifferentiability principle and asymptotic preserving property of the proposed conservative semi-Lagrangian scheme to the Euler limits.