We briefly introduce several fundamental problems that cause the creation of Discrete
Boltzmann modeling and analysis Method (DBM), corresponding solutions, the relationship …

A derivation procedure to secure the macroscopically equivalent equation and its truncation
error for discrete Boltzmann method is proffered in this paper. Essential presumptions of two …

The study of macro continuous flow has a long history. Simultaneously, the exploration of
heat and mass transfer in small systems with a particle number of several hundred or less …

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 …

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 …

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 …

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

The paper analysis the incorporation of the source term in the advection-diffusion equation
for the BGK Lattice Boltzmann Method (LBM). The problem is the coupled energy and …

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