  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 hydrodynamic limit
models. We consider two hydrodynamic closure 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 demonstrate indifferentiability
principle and asymptotic preserving property of the proposed conservative
semi-Lagrangian scheme to the Euler limits.
