Title: Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
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 are discussed in detail. A general procedure to derive the lattice Boltzmann model from the continuous Boltzmann equation is demonstrated explicitly. The lattice Boltzmann models derived include the two-dimensional 6-bit, 7-bit, and 9-bit, and three-dimensional 27-bit models.
Publication Year: 1997
Publication Date: 1997-12-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1577
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