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Multiple–relaxation–time lattice Boltzmann models in three dimensions
Abstract
This article provides a concise exposition of the multiple-relaxation-time lattice Boltzmann equation, with examples of 15-velocity and 19-velocity models in three dimensions. Simulation of a diagonally lid-driven cavity flow in three dimensions at Re = 500 and 2000 is performed. The results clearly demonstrate the superior numerical stability of the multiple-relaxation-time lattice Boltzmann equation over the popular lattice Bhatnagar-Gross-Krook equation.
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Citations
Cited by
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Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
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Aidun, C. K., & Clausen, J. R. (2010) · Annual Review of Fluid Mechanics · doi:10.1146/annurev-fluid-121108-145519 · Cited by 1,991
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Geier, M., Greiner, A., & Korvink, J. G. (2006) · Physical Review E · doi:10.1103/physreve.73.066705 · Cited by 417
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Krause, M. J., Kummerländer, A., Avis, S. J., Kusumaatmaja, H., Dapelo, D., Klemens, F., Gaedtke, M., Hafen, N., Mink, A., Trunk, R., et al. (2021) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2020.04.033 · Cited by 203
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Metadata
- Authors
- d'Humières, D.
- Venue
- Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- Publisher
- The Royal Society
- Published
- 2002-03-15
- Volume
- 360
- Issue
- 1792
- Pages
- 437-451
- ISSN
- 1364-503X (ISSN-L)
- 1471-2962
- OpenAlex
- W2095283463
- Cited by
- 2,033
- References
- 0
- FWCI
- 26.48
- Type
- journal article
- Language
- en
- Open access
- closed
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- d'Humières, D. (2002). Multiple–relaxation–time lattice Boltzmann models in three dimensions. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. https://doi.org/10.1098/rsta.2001.0955
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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