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 …

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 …

In this paper, we present a unified gas-kinetic wave-particle (UGKWP) method on
unstructured mesh for the multiscale simulation of continuum and rarefied flow. Inheriting …

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

The predictions of the multiple-regime flows from continuum regime to free molecular regime
are crucial for the aerodynamic design in a large number of engineering applications, such …

In the past decade, the particle-based Fokker–Planck (FP) method has been extensively
studied to reduce the computational costs of the direct simulation Monte Carlo method for …

The numerical simulation of rarefied gas mixtures with disparate mass and concentration is
a huge research challenge. Based on our recent kinetic modeling for monatomic gas mixture …

A novel hybrid transient adaptive subcell (TAS) direct simulation Monte Carlo (DSMC)
algorithm is proposed to simulate rarefied gas flows in a wide range of Knudsen numbers. It …

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 …

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 …