The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Unified Theory of Lattice Boltzmann Models for Nonideal Gases
Abstract
A nonideal gas lattice Boltzmann model is directly derived, in an a priori fashion, from the Enskog equation for dense gases. The model is rigorously obtained by a systematic procedure to discretize the Enskog equation (in the presence of an external force) in both phase space and time. The lattice Boltzmann model derived here is thermodynamically consistent and is free of the defects which exist in previous lattice Boltzmann models for nonideal gases. The existing lattice Boltzmann models for nonideal gases are analyzed and compared with the model derived here.
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Cites
Molecular Theory of Gases and Liquids
Hirschfelder, J. O., Curtiss, C. F., & Bird, R. B. (1955) · Physics Today · doi:10.1063/1.3061949 · Cited by 11,418
Free Energy of a Nonuniform System. I. Interfacial Free Energy
Cahn, J. W., & Hilliard, J. E. (1958) · The Journal of Chemical Physics · doi:10.1063/1.1744102 · Cited by 10,437
Bhatnagar, P. L., Gross, E. P., & Krook, M. (1954) · Physical Review · doi:10.1103/physrev.94.511 · Cited by 8,543
The mathematical theory of non-uniform gases
(1953) · Journal of the Franklin Institute · doi:10.1016/0016-0032(53)90422-0 · Cited by 7,601
Lattice BGK Models for Navier-Stokes Equation
Qian, Y. H., D'Humières, D., & Lallemand, P. (1992) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/17/6/001 · Cited by 5,303
Molecular Theory of Gases and Liquids.
Rice, O. K. (1955) · Journal of the American Chemical Society · doi:10.1021/ja01612a111 · Cited by 3,861
Lattice Boltzmann model for simulating flows with multiple phases and components
Shan, X., & Chen, H. (1993) · Physical Review E · doi:10.1103/physreve.47.1815 · Cited by 3,622
The Mathematical Theory of Non-Uniform Gases
Chapman, S., Cowling, T. G., & Park, D. (1962) · American Journal of Physics · doi:10.1119/1.1942035 · Cited by 2,985
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
Use of the Boltzmann Equation to Simulate Lattice-Gas Automata
McNamara, G. R., & Zanetti, G. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.2332 · Cited by 2,079
Cited by
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
Self-citationA lattice Boltzmann method for incompressible two-phase flows with large density differences
Inamuro, T., Ogata, T., Tajima, S., & Konishi, N. (2004) · Journal of Computational Physics · doi:10.1016/j.jcp.2004.01.019 · Cited by 666
Lattice Boltzmann method for moving boundaries
Lallemand, P., & Luo, L.-S. (2003) · Journal of Computational Physics · doi:10.1016/s0021-9991(02)00022-0 · Cited by 579
Self-citationFeng, Y., Li, H., Li, L., Bu, L., & Wang, T. (2015) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2014.10.048 · Cited by 148
Metadata
- Authors
- Luo, L.-S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1998-08-24
- Volume
- 81
- Issue
- 8
- Pages
- 1618-1621
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2023387488
- Cited by
- 379
- References
- 23
- FWCI
- 7.42
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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