Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method

Journal Article · Wed Apr 15 04:00:00 EDT 1992 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.45.R5339· OSTI ID:7182995

Chen, H; Chen, S; Matthaeus, W H ^[1]

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1. Bartol Research Institute, University of Delaware, Newark, Delaware 19716 (United States)

It is known that the Frisch-Hasslacher-Pomeau lattice-gas automaton model and related models possess some rather unphysical effects. These are (1) a non-Galilean invariance caused by a density-dependent coefficient in the convection term, and (2) a velocity-dependent equation of state. In this paper, we show that both of these effects can be eliminated exactly in a lattice Boltzmann-equation model.

• DOE Contract Number: FG02-85ER53194
• OSTI ID: 7182995
• Journal Information: Physical Review A. General Physics; (United States), Journal Name: Physical Review A. General Physics; (United States) Vol. 45:8; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOLTZMANN EQUATION
BOUNDARY CONDITIONS
COLLISIONS
CONVECTION
DIFFERENTIAL EQUATIONS
ENERGY TRANSFER
EQUATIONS
EQUATIONS OF STATE
FLUIDS
HEAT TRANSFER
INVARIANCE PRINCIPLES
KINETIC EQUATIONS
MASS TRANSFER
MATHEMATICAL MODELS
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
STATISTICAL MODELS
VELOCITY