Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation

He, Xiaoyi; Luo, Li‐Shi

doi:10.1103/physreve.56.6811

Public

Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation

Published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics • Dec 1, 1997

Authors:

Xiaoyi He

Li‐Shi Luo

Abstract

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 equation. Various approximations for the discretization of the Boltzmann equation in both time and phase space...

Subject

Lattice Boltzmann methods

Bhatnagar–Gross–Krook operator

HPP model

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