This article discusses the development of continuum models to describe processes in gases
in which the particle collisions cannot maintain thermal equilibrium. Such a situation typically …

The Boltzmann equation with the Bhatnagar-Gross-Krook collision model (Boltzmann-BGK
equation) has been widely employed to describe multiscale flows, ie, from the hydrodynamic …

Efficient modelling of gas microflows requires accurate, yet fast to solve, models. For finite
but moderate Knudsen numbers, extended macroscopic transport equations offer an …

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 …

Thermal transport in nano-porous insulation material of aerogel has recently attracted
increasing attention due to its extreme low thermal conductivity and the broad applications …

The discovery of governing equations from data is revolutionizing the development of some
research fields, where the scientific data are abundant but the well-characterized …

There is great difficulty for direct Boltzmann solvers to simulate high Knudsen number flow
due to the severe steep slope and high concentration of the gas distribution function in a …

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 …

Gaseous flow and heat transfer in a lid-driven cavity under nonequilibrium flow conditions is
investigated using the direct simulation Monte Carlo method, from the slip to the free …

The recently-developed general synthetic iterative scheme (GSIS) is efficient in simulating
multiscale rarefied gas flows due to the coupling of mesoscopic kinetic equation and …