The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
Simulation of Rayleigh-Bénard convection using a lattice Boltzmann method
Open accessAbstract
Rayleigh-B\'enard convection is numerically simulated in two and three dimensions using a recently developed two-component lattice Boltzmann equation (LBE) method. The density field of the second component, which evolves according to the advection-diffusion equation of a passive scalar, is used to simulate the temperature field. A body force proportional to the temperature is applied, and the system satisfies the Boussinesq equation except for a slight compressibility. A no-slip, isothermal boundary condition is imposed in the vertical direction, and periodic boundary conditions are used in horizontal directions. The critical Rayleigh number for the onset of the Rayleigh-B\'enard convection agrees with the theoretical prediction. As the Rayleigh number is increased higher, the steady two-dimensional convection rolls become unstable. The wavy instability and aperiodic motion observed, as well as the Nusselt number as a function of the Rayleigh number, are in good agreement with experimental observations and theoretical predictions. The LBE model is found to be efficient, accurate, and numerically stable for the simulation of fluid flows with heat and mass transfer.
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Cites
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Lattice Boltzmann model for simulating flows with multiple phases and components
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Self-citationThe mathematical theory of non-uniform gases
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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
Mesoscopic simulation of selective beam melting processes
Körner, C., Attar, E., & Heinl, P. (2011) · Journal of Materials Processing Technology · doi:10.1016/j.jmatprotec.2010.12.016 · Cited by 450
Defect generation and propagation mechanism during additive manufacturing by selective beam melting
Bauereiß, A., Scharowsky, T., & Körner, C. (2014) · Journal of Materials Processing Technology · doi:10.1016/j.jmatprotec.2014.05.002 · Cited by 351
Lattice Boltzmann model for melting with natural convection
Huber, C., Parmigiani, A., Chopard, B., Manga, M., & Bachmann, O. (2008) · International Journal of Heat and Fluid Flow · doi:10.1016/j.ijheatfluidflow.2008.05.002 · Cited by 310
Feng, 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
- Shan, X.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1997-03-01
- Volume
- 55
- Issue
- 3
- Pages
- 2780-2788
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2049472804
- Cited by
- 566
- References
- 24
- FWCI
- 6.32
- Type
- journal article
- Language
- en
- Open access
- green
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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).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
