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 …

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

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

Turbulent combustion is ubiquitously used in practical combustion devices. However, even
chemically non-reacting turbulent flows are complex phenomena, and chemical reactions …

In this work, we present and validate a methodology for coupling reduced models of detailed
combustion mechanisms within the lattice Boltzmann framework. A detailed mechanism (9 …

This paper deals with the development of suitable general mathematical structures including
a large variety of Boltzmann type models. The contents are organized in three parts. The first …

This book presents applications to several fluid dynamics problems in both the bounded and
unbounded domains in the framework of the discrete velocity models of kinetic theory. The …

In this paper we present a lattice Boltzmann model for combustion and detonation. In this
model the fluid behavior is described by a finite-difference lattice Boltzmann model by Gan …

A kinetic model of the Boltzmann equation for non-vibrating polyatomic gases is proposed,
based on the Rykov model for diatomic gases. We adopt two velocity distribution functions …