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 …

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 …

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 …

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

Based on the kinetic theory, a three-dimensional multiple-relaxation-time discrete Boltzmann
model (DBM) is proposed for nonequilibrium compressible reactive flows where both the …

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

A gas-kinetic model with multiple translational temperature for the continuum and near
continuum flow simulations is proposed. The main purpose for this work is to derive the …

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 …

One-dimensional inviscid gas dynamics computations are made using a new method to
solve the Boltzmann equation. The numerical method is explicit and is based on concepts …