An Introduction to Entropic Lattice Boltzmann Scheme

Abstract

Recently, there has been much progress in developing the method of the lattice Boltzmann equation as an alternative, computational technique for solving complex fluid dynamic systems. Adopting a macroscopic method for computational fluid dynamics (CFD), the variables of interest, such as velocity u and pressure p, can be obtained by solving the Navier-Stokes (NS) equations.
The lattice Boltzmann models are rather different numerical techniques aimed at modeling a physical system in terms of the dynamics of fictitious particles (or mass distribution functions f) and the macroscopic quantities (such as mass density and momentum density) can then be obtained by evaluating the hydrodynamic moments of the distribution function f.
This method is now considered as a serious alternative to standard computational fluid dynamics. The main idea of this approach is to model the physical reality at a mesoscopic level: the generic features of microscopic processes can be expressed through simple rules, from which the desired macroscopic behavior emerges as a collective effect of the interactions between the many elementary components.

[DOI: 10.1685/SELN08004] About DOI