{ital A priori} derivation of the lattice Boltzmann equation

Journal Article · Sun Jun 01 00:00:00 EDT 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.55.R6333· OSTI ID:657429

He, X ^[1]; Luo, L ^[2]

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1. Center for Nonlinear Studies, MS-B258 and Complex Systems Group (T-13), MS-B213, Theoretical (T) Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. ICASE, Mail Stop 403, NASA Langley Research Center, 6 North Dryden Street, Building 1298, Hampton, Virginia 23681-0001 (United States)

The lattice Boltzmann equation (LBE) is directly derived from the Boltzmann equation by discretization in both time and phase space. A procedure to systematically derive discrete velocity models is presented. A LBE algorithm with arbitrary mesh grids is proposed and a numerical simulation of the backward-facing step is conducted. The numerical result agrees well with experimental and previous numerical results. Various improvements on the LBE models are discussed, and an explanation of the instability of the existing LBE thermal models is also provided. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 657429
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 6 Vol. 55; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ALGORITHMS
BBGKY EQUATION
BOLTZMANN EQUATION
LATTICE PARAMETERS
PHASE SPACE
STATISTICAL MECHANICS