Over the past few decades, tremendous progress has been made in the development of
particle-based discrete simulation methods versus the conventional continuum-based …

This contribution presents a comprehensive overview of lattice Boltzmann models for non-
ideal fluids, covering both theoretical concepts at both kinetic and macroscopic levels and …

The aim of this paper is twofold: the first aim is to formulate and validate a multi-scale
discrete Boltzmann method (DBM) based on density functional kinetic theory for thermal …

A discrete Boltzmann model (DBM) is developed to investigate the hydrodynamic and
thermodynamic non-equilibrium (TNE) effects in phase separation processes. The …

The effects of compressibility on Rayleigh-Taylor instability (RTI) are investigated by
inspecting the interplay between thermodynamic and hydrodynamic nonequilibrium …

A 2-dimensional discrete Boltzmann model for combustion is presented. Mathematically, the
model is composed of two coupled discrete Boltzmann equations for two species and a …

We present a general framework for constructing trans-scale discrete Boltzmann models
(DBMs) for high-speed compressible flows ranging from continuum to transition regime. This …

To probe both the hydrodynamic nonequilibrium (HNE) and thermodynamic nonequilibrium
(TNE) in the combustion process, a two-dimensional multiple-relaxation-time (MRT) version …

Rayleigh-Taylor (RT) instability widely exists in nature and engineering fields. How to better
understand the physical mechanism of RT instability is of great theoretical significance and …

Shock wave/boundary layer interaction (SWBLI) is a widespread phenomenon in supersonic
flows and has received extensive attention. The boundary layer is generated due to viscous …