Initial and boundary conditions for the lattice Boltzmann method

Journal Article · Wed Dec 01 04:00:00 EST 1993 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.48.4823· OSTI ID:5541523

Skordos, P A ^[1]

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1. Center for Nonlinear Studies, Los Alamos National Laboratory, B258, Los Alamos, New Mexico 87545 (United States) Massachusetts Institute of Technology, 545 Technology Square, NE43-432, Cambridge, Massachusetts 02139 (United States)

An alternative approach of implementing initial and boundary conditions for the lattice Boltzmann method is presented. The basic idea is to calculate the lattice Boltzmann populations at a boundary node from the fluid variables that are specified at this node using the gradients of the fluid velocity. The numerical performance of the lattice Boltzmann method is tested on several problems with exact solutions and is also compared to an explicit finite-difference projection method. The discretization error of the lattice Boltzmann method decreases quadratically with finer resolution both in space and in time. The roundoff error of the lattice Boltzmann method creates problems unless double-precision arithmetic is used.

• OSTI ID: 5541523
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 48:6; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

661000* -- General Physics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN EQUATION
CALCULATION METHODS
DENSITY
DIFFERENTIAL EQUATIONS
EQUATIONS
MAPPING
OCCUPATION NUMBER
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
SIMULATION
VELOCITY