BGK models for inert mixtures: comparison and applications

TL;DR

This paper compares different BGK models for inert gas mixtures, analyzing their kinetic and hydrodynamic behaviors through analytical and numerical methods, and applies the findings to shock wave simulations.

Contribution

It provides a comprehensive comparison of BGK models for inert mixtures, including new numerical schemes and application to shock wave phenomena.

Findings

Analytical and numerical comparison of BGK models

Development of an asymptotic preserving semi-Lagrangian scheme

Application to binary gas mixture shock wave simulation

Abstract

Consistent BGK models for inert mixtures are compared, first in their kinetic behavior and then versus the hydrodynamic limits that can be derived in different collision-dominated regimes. The comparison is carried out both analytically and numerically, for the latter using an asymptotic preserving semi-Lagrangian scheme for the BGK models. Application to the plane shock wave in a binary mixture of noble gases is also presented.