Mathematically, the typical difference of discrete Boltzmann model (DBM) from the traditional
hydrodynamic one is that the Navier-Stokes (NS) equations are replaced by a discrete …

We present a series of three-dimensional discrete Boltzmann models for compressible flows
in and out of equilibrium. The key formulating technique is the construction of discrete …

The non-equilibrium high-speed compressible flows present wealthy applications in
engineering and science. With the deepening of Thermodynamic Non-Equilibrium (TNE) …

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 …

We propose a multi-component discrete Boltzmann model (DBM) for premixed,
nonpremixed, or partially premixed nonequilibrium reactive flows. This model is suitable for …

A two-fluid Discrete Boltzmann Model (DBM) for compressible flows based on the ellipsoidal
statistical Bhatnagar–Gross–Krook is presented. The model has a flexible Prandtl number or …

In the continuum flow regime, the Navier-Stokes (NS) equations are usually used for the
description of gas dynamics. On the other hand, the Boltzmann equation is applied for the …

In this paper, we develop a numerical method to solve Boltzmann like equations of kinetic
theory which is able to capture the compressible Navier–Stokes dynamics at small Knudsen …

A new discrete Boltzmann model, the discrete ellipsoidal statistical Bhatnagar–Gross–Krook
(ESBGK) model, is proposed to simulate nonequilibrium compressible flows. Compared with …

A general framework for constructing discrete Boltzmann model for non-equilibrium flows
based on the Shakhov model is presented. The Hermite polynomial expansion and a set of …