articleTop 1% cited
Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1997 · Vol. 56(6) · pp. 6811–6817
Xiaoyi He✉(Los Alamos National Laboratory)Li‐Shi Luo(Langley Research Center)
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.
Lattice Boltzmann Simulation StudiesAerosol Filtration and Electrostatic PrecipitationAerodynamics and Fluid Dynamics ResearchLattice Boltzmann methodsBhatnagar–Gross–Krook operatorHPP modelBoltzmann equationLattice gas automatonDirect simulation Monte CarloBoltzmann relationPhysicsDiscretizationBoltzmann's entropy formula
Funding
- Los Alamos National Laboratory
Citations
1,685
FWCI
13.07
field-weighted impact
References
33
Percentile
99%
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Citations per year
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Journal of Fluid Mechanics · 1994 · 2,352 citations
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Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1997 · 1,685 citations
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