▪ Abstract We present an overview of the lattice Boltzmann method (LBM), a parallel and
efficient algorithm for simulating single-phase and multiphase fluid flows and for …

With its roots in kinetic theory and the cellular automaton concept, the lattice-Boltzmann (LB)
equation can be used to obtain continuum flow quantities from simple and local update rules …

Interest in the lattice Boltzmann method has been steadily increasing since it grew out of
lattice gas models in the late 1980s. While both of these methods simulate the flow of liquids …

Lattice Boltzmann method (LBM) is a relatively new simulation technique for the modeling of
complex fluid systems and has attracted interest from researchers in computational physics …

In recent years, stylized forms of the Boltzmann equation, now going by the name of" Lattice
Boltzmann equation"(LBE), have emerged, which relinquish most mathematical complexities …

This article provides a concise exposition of the multiple–relaxation–time lattice Boltzmann
equation, with examples of 15–velocity and 19–velocity models in three dimensions …

In this paper, the lattice Boltzmann equation is directly derived from the Boltzmann equation.
It is shown that the lattice Boltzmann equation is a special discretized form of the Boltzmann …

A novel lattice Boltzmann thermal model is proposed for studying thermohydrodynamics in
incompressible limit. The new model introduces an internal energy density distribution …

Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new
and promising methods for the numerical solution of nonlinear partial differential equations …

The method of lattice Boltzmann equation (LBE) is a kinetic-based approach for fluid flow
computations. This method has been successfully applied to the multi-phase and multi …