Over the past half century, a variety of computational fluid dynamics (CFD) methods and the
direct simulation Monte Carlo (DSMC) method have been widely and successfully applied to …

The stochastic particle method based on Bhatnagar-Gross-Krook (BGK) or ellipsoidal
statistical BGK (ESBGK) model approximates the pairwise collisions in the Boltzmann …

Abstract The direct simulation Monte Carlo (DSMC) method has become a powerful tool for
studying rarefied gas flows. However, for the DSMC method to be effective, the cell size must …

A kinetic model of the Boltzmann equation for non-vibrating polyatomic gases is proposed,
based on the Rykov model for diatomic gases. We adopt two velocity distribution functions …

The in-depth knowledge of rarefied gas dynamics is crucial to address challenges in a wide
range of engineering problems, where gas flows are usually multiscale, ie, covering a wide …

A Fokker–Planck based particle Monte Carlo algorithm was devised recently for simulations
of rarefied gas flows by the authors [1],[2],[3]. The main motivation behind the Fokker–Planck …

We propose an extension of the Fokker–Planck model of the Boltzmann equation to get a
correct Prandtl number in the Compressible Navier–Stokes asymptotics. This is obtained by …

This paper is devoted to the algorithmic improvement and careful analysis of the Fokker–
Planck kinetic model derived by Jenny et al.[1] and Gorji et al.[2]. The motivation behind the …

It is well-known that the Boltzmann collision term can be simplified by Bhatnagar–Gross–
Krook (BGK) and Fokker–Planck (FP) models. These two kinetic models satisfy the …

The ellipsoidal statistical (ES) model of the Boltzmann equation for a polyatomic gas with
constant specific heats (calorically perfect gas), proposed by Andries et al.(Eur J Mech B …