articleTop 1% cited

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

Physical Review A · 1992 · Vol. 45(8) · pp. R5339–R5342

Hudong Chen✉(University of Delaware)Shiyi Chen(University of Delaware)W. H. Matthaeus(University of Delaware)

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.

Lattice Boltzmann Simulation Studies Fluid Dynamics and Turbulent Flows Aerosol Filtration and Electrostatic PrecipitationPhysicsLattice gas automatonGalilean invarianceLattice Boltzmann methodsHPP modelGalileanBoltzmann equationLattice (music)Navier–Stokes equationsStatistical physics

Citations

1,522

FWCI

20.56

field-weighted impact

References

Percentile

100%

vs. same field & year

Citations per year

Cited by

On pressure and velocity boundary conditions for the lattice Boltzmann BGK model

Physics of Fluids · 1997 · 2,103 citations

Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation

Journal of Fluid Mechanics · 1994 · 2,352 citations

Lattice Boltzmann simulations of liquid-gas and binary fluid systems

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1996 · 1,401 citations

Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation

Journal of Fluid Mechanics · 2006 · 1,041 citations

Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2000 · 2,169 citations

On boundary conditions in lattice Boltzmann methods

Physics of Fluids · 1996 · 488 citations

Discrete Boltzmann equation model for nonideal gases

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1998 · 630 citations

Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1996 · 872 citations

References

Boltzmann Approach to Lattice Gas Simulations

Europhysics Letters (EPL) · 1989 · 845 citations

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

Physical Review A · 1992 · 1,522 citations

Citation Network

How this paper connects to the literature. Drag to explore, click any node to open that paper.