▪ 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 …

Non-Fickian diffusion driven by gradients in chemical potential rather than concentration is
important for nonideal mixtures. Conventional formulations of the chemical potential must be …

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 …

The theory of phase-ordering dynamics, that is the growth of order through domain
coarsening when a system is quenched from the homogeneous phase into a broken …

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 …

A lattice Boltzmann scheme able to model the hydrodynamics of phase separation and two-
phase flow is described. Thermodynamic consistency is ensured by introducing a nonideal …

In this paper, we propose a new lattice Boltzmann scheme for simulation of multiphase flow
in the nearly incompressible limit. The new scheme simulates fluid flows based on …

The theory of phase-ordering dynamics that is the growth of order through domain
coarsening when a system is quenched from the homogeneous phase into a broken …

The lattice Boltzmann equation describes the evolution of the velocity distribution function on
a lattice in a manner that macroscopic fluid dynamical behavior is recovered. Although the …