Abstract
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.
Keywords
PhysicsLattice gas automatonGalilean invarianceLattice Boltzmann methodsHPP modelGalileanBoltzmann equationLattice (music)Navier–Stokes equationsStatistical physicsEquation of stateClassical mechanicsMathematical physicsMechanicsQuantum mechanicsCompressibility
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Publication Info
- Year
- 1992
- Type
- article
- Volume
- 45
- Issue
- 8
- Pages
- R5339-R5342
- Citations
- 1512
- Access
- Closed
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Cite This
Hudong Chen,
Shiyi Chen,
W. H. Matthaeus
(1992).
Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method.
Physical Review A
, 45
(8)
, R5339-R5342.
https://doi.org/10.1103/physreva.45.r5339
Identifiers
- DOI
- 10.1103/physreva.45.r5339