Based on the Boltzmann equation, the detonation problem is dealt with on a mesoscopic
level. The model is based on the assumption that ahead of a shock an explosive gas mixture …

The one-dimensional steady propagation problem of a shock wave that models detonation
as a combustion process in a mixture of reacting gases is studied. For this purpose, suitable …

A detailed analysis of the dynamics and linear stability of a steady one-dimensional
detonation wave propagating in a binary reactive system with an Arrhenius chemical kinetics …

A multiple-relaxation-time discrete Boltzmann model (DBM) is developed for compressible
thermal reactive flows. A unified Boltzmann equation set is solved for hydrodynamic and …

A Discrete Boltzmann Model (DBM) based on the Shakhov model for detonation is
proposed. Compared with the DBM based on the Bhatnagar–Gross–Krook (BGK) model, the …

In the present paper the shock-wave propagation problem for a binary gas mixture is studied
by means of a 12-discrete velocity model of the Boltzmann equation. From a mathematical …

The analysis of the linear stability of a planar Chapman–Jouguet detonation wave is
reformulated for an arbitrary caloric (incomplete) equation of state in an attempt to better …

A one-dimensional discrete Boltzmann model for detonation simulation is presented. Instead
of numerical solving Navier-Stokes equations, this model obtains the information of flow field …

The existing theory of detonation is critically examined. It is shown that the considerations
with which the steady value of the velocity of detonation is chosen are not convincing. In …

This paper deals with the analysis of the onset, evolution and asymptotic behaviour of shock-
waves described by the discrete Boltzmann equation. The related mathematical problem …