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Discrete Boltzmann equation model for nonideal gases
Abstract
A discrete model based on the Boltzmann equation with a body force and a single relaxation time collision model is derived for simulations of nonideal-gas flow. The interparticle interaction is treated using a mean-field approximation. The Boltzmann equation is discretized in a way that preserves the derivation of the hydrodynamic equations from the Boltzmann equation, using either the Chapman-Enskog method or the Grad 13-moment method. The previously proposed nonideal-gas lattice Boltzmann equation model can be analyzed with rigor.
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Citations
Cited by
Lallemand, P., & Luo, L.-S. (2000) · Physical Review E · doi:10.1103/physreve.61.6546 · Cited by 2,268
On equations of state in a lattice Boltzmann method
Kupershtokh, A. L., Medvedev, D. A., & Karpov, D. I. (2009) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2009.02.024 · Cited by 542
The lattice Boltzmann equation method: theoretical interpretation, numerics and implications
Nourgaliev, R. R., Dinh, T. N., Theofanous, T. G., & Joseph, D. (2003) · International Journal of Multiphase Flow · doi:10.1016/s0301-9322(02)00108-8 · Cited by 437
Lattice‐Boltzmann simulation of two‐phase flow in porous media
Pan, C., Hilpert, M., & Miller, C. T. (2004) · Water Resources Research · doi:10.1029/2003wr002120 · Cited by 433
Unified Theory of Lattice Boltzmann Models for Nonideal Gases
Luo, L.-S. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.1618 · Cited by 379
Metadata
- Authors
- He, X., Shan, X., & Doolen, G. D.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1998-01-01
- Volume
- 57
- Issue
- 1
- Pages
- R13-R16
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2055632123
- Cited by
- 661
- References
- 0
- FWCI
- 11.37
- Type
- journal article
- Language
- en
- Open access
- closed
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- He, X., Shan, X., & Doolen, G. D. (1998). Discrete Boltzmann equation model for nonideal gases. Physical Review E. https://doi.org/10.1103/physreve.57.r13
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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.
