The motivation of this review paper is to present a detailed summary of different collision
models developed in the framework of the direct simulation Monte Carlo (DSMC) method …

Based on the Boltzmann-BGK (Bhatnagar-Gross-Krook) equation, in this paper a discrete
unified gas kinetic scheme (DUGKS) is developed for low-speed isothermal flows. The …

Computational fluid dynamics (CFD) studies the flow motion in a discretized space. Its basic
scale resolved is the mesh size and time step. The CFD algorithm can be constructed …

With discretized particle velocity space, a multi-scale unified gas-kinetic scheme for entire
Knudsen number flows has been constructed based on the kinetic model in one …

This paper presents an implicit unified gas-kinetic scheme (UGKS) for non-equilibrium
steady state flow computation. The UGKS is a direct modeling method for flow simulation in …

In the study of rarefied gas dynamics, the discrete velocity method (DVM) has been widely
employed to solve the gas kinetic equations. Although various versions of DVM have been …

Based on the fast spectral approximation to the Boltzmann collision operator, we present an
accurate and efficient deterministic numerical method for solving the Boltzmann equation …

The recently proposed discrete unified gas kinetic scheme (DUGKS) is a finite volume
method for multiscale flow computations with asymptotic preserving property. The solution of …

The unified gas kinetic scheme (UGKS) is based on direct modeling of gas dynamics on the
mesh size and time step scales. With the modeling of particle transport and collision in a …

Fluid dynamic equations are valid in their respective modeling scales, such as the particle
mean free path scale of the Boltzmann equation and the hydrodynamic scale of the Navier …