Basic Theory and Applications of the Lattice Boltzmann Method

Abstract

The lattice Boltzmann method is briefly described from its basic theory to some applications. The basic equations, the discrete BGK equations, are introduced, and the concept of this method is explained Two types of models, that are non-thermal and thermal models exist, and some thermal flows are simulated by two-particle models. Examples of the aero-acoustics and the multi-phase flows are shown. Some new topics are also briefly described, and the references are presented.