Lattice Boltzmann Method for Fluid Dynamics pp. 551-592
Authors: (Mojtaba Aghajani Delavar, Mousa Farhadi, Kurosh Sedighi, Babol University of Technology, Babol, Iran)
Abstract: Lattice Boltzmann method is relatively new scheme that uses microscopic models to simulate macroscopic behavior of fluid flow and dependent phenomenons. LBM can be considered as discrete version of kinetics theory. The lattice-Boltzmann method, evolved out of ideas that have been extremely investigated since 1986, when it was discovered that very simple models of discrete particles restricted to a lattice can be used to yield Navier Stokes equation to solve complicated flow problems (Frisch et al., 1986 & 1987). The lattice method can be concerned as one of the simplest microscopic approaches for simulation of macroscopic models. It is based on the Boltzmann transport equation, which concern about the time rate of change of the particle distribution function (probability to find particles with specific velocity range at the limited position at the given time) in a particular state.