Over the past few decades, tremendous progress has been made in the development of
particle-based discrete simulation methods versus the conventional continuum-based …

▪ 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 …

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 …

We describe in detail a recently proposed lattice-Boltzmann model [X. Shan and H. Chen,
Phys. Rev. E 47, 1815 (1993)] for simulating flows with multiple phases and components. In …

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 …

Over the past 30 years, the lattice Boltzmann (LB) method has been developed into a
versatile and powerful numerical methodology for computational fluid dynamics and heat …

Cellular automata Page 2 Lecture Notes in Computer Science 3305 Commenced
Publication in 1973 Founding and Former Series Editors: Gerhard Goos, Juris Hartmanis …

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

We present the details of a lattice Boltzmann approach to phase separation in nonideal one-
and two-component fluids. The collision rules are chosen such that the equilibrium state …