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Boltzmann Approach to Lattice Gas Simulations
Open accessAbstract
An alternative simulation procedure is proposed for lattice hydrodynamics, based on the lattice Boltzmann equation instead of on the microdynamical evolution. The averaging step, used by the latter method to derive macroscopic quantities, is suppressed, as well as the associated fluctuations. The collision operator is expressed in terms of its linearized part, and condensed into a few parameters, which can be selected, independently of a particular collision rule, to decrease viscosity as much as desired.
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Citations
Cites
Lattice-gas automata for the Navier-Stokes equation
Frisch, U., Hasslacher, B., & Pomeau, Y. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.1505 · Cited by 2,788
Cited by
The lattice Boltzmann equation: theory and applications
Benzi, R., Succi, S., & Vergassola, M. (1992) · Physics Reports · doi:10.1016/0370-1573(92)90090-m · Cited by 2,077
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
Sahimi, M. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.1393 · Cited by 1,082
Viscous flow computations with the method of lattice Boltzmann equation
Yu, D., Mei, R., Luo, L.-S., & Shyy, W. (2003) · Progress in Aerospace Sciences · doi:10.1016/s0376-0421(03)00003-4 · Cited by 913
Metadata
- Authors
- Higuera, F. J., & Jiménez, J.
- Venue
- Europhysics Letters (EPL)
- Publisher
- IOP Publishing
- Published
- 1989-08-01
- Volume
- 9
- Issue
- 7
- Pages
- 663-668
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W2035157815
- Cited by
- 876
- References
- 1
- FWCI
- 9.90
- Type
- journal article
- Language
- en
- Open access
- green
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- Higuera, F. J., & Jiménez, J. (1989). Boltzmann Approach to Lattice Gas Simulations. Europhysics Letters (EPL). https://doi.org/10.1209/0295-5075/9/7/009
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
