A discrete Boltzmann model (DBM) is proposed to probe the Rayleigh-Taylor instability (RTI)
in two-component compressible flows. Each species has a flexible specific-heat ratio and is …

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 …

In this paper, we give an alternative derivation for the cascaded lattice Boltzmann method
(CLBM) within a general multiple-relaxation-time (MRT) framework by introducing a shift …

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

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 …

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

Thanks to its mesoscopic nature, the recently developed discrete Boltzmann method (DBM)
has the capability of providing deeper insight into nonequilibrium reactive flows accurately …

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 …

In this paper, the coupled Rayleigh–Taylor–Kelvin–Helmholtz instability (RTI, KHI, and
RTKHI, respectively) system is investigated using a multiple-relaxation-time discrete …

In this mini-review we summarize the progress of modeling, simulation and analysis of shock
responses of heterogeneous materials in our group in recent years. The basic methodology …