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Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method
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.
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Citations
Cited by
Lattice-Boltzmann method for complex flows
Aidun, C. K., & Clausen, J. R. (2010) · Annual Review of Fluid Mechanics · doi:10.1146/annurev-fluid-121108-145519 · Cited by 1,991
Momentum transfer of a Boltzmann-lattice fluid with boundaries
Bouzidi, M., Firdaouss, M., & Lallemand, P. (2001) · Physics of Fluids · doi:10.1063/1.1399290 · Cited by 1,251
Water transport in polymer electrolyte membrane fuel cells
Jiao, K., & Li, X. (2011) · Progress in Energy and Combustion Science · doi:10.1016/j.pecs.2010.06.002 · Cited by 1,086
Volumetric formulation of the lattice Boltzmann method for fluid dynamics: Basic concept
Chen, H. (1998) · Physical Review E · doi:10.1103/physreve.58.3955 · Cited by 294
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Metadata
- Authors
- Chen, H., Chen, S., & Matthaeus, W. H.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1992-04-01
- Volume
- 45
- Issue
- 8
- Pages
- R5339-R5342
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2021035369
- Cited by
- 1,553
- References
- 0
- FWCI
- 20.91
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method. https://app.cochat.ai/papers/10.1103/physreva.45.r5339
- The paper
- Chen, H., Chen, S., & Matthaeus, W. H. (1992). Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method. Physical Review A. https://doi.org/10.1103/physreva.45.r5339
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