The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Discretization of the Velocity Space in the Solution of the Boltzmann Equation
Open accessAbstract
We point out an equivalence between the discrete velocity method of solving the Boltzmann equation, of which the lattice Boltzmann equation method is a special example, and the approximations to the Boltzmann equation by a Hermite polynomial expansion. Discretizing the Boltzmann equation with a Bhatnagar-Gross-Krook collision term at the velocities that correspond to the nodes of a Hermite quadrature is shown to be equivalent to truncating the Hermite expansion of the distribution function to the corresponding order. The truncated part of the distribution has no contribution to the moments of low orders and is negligible at small Mach numbers.
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Cites
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Lattice BGK Models for Navier-Stokes Equation
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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
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Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method
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Cited by
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
Force evaluation in the lattice Boltzmann method involving curved geometry
Mei, R., Yu, D., Shyy, W., & Luo, L.-S. (2002) · Physical Review E · doi:10.1103/physreve.65.041203 · Cited by 416
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
Kinetic boundary conditions in the lattice Boltzmann method
Ansumali, S., & V. Karlin, I. (2002) · Physical Review E · doi:10.1103/physreve.66.026311 · Cited by 360
Minimal entropic kinetic models for hydrodynamics
Ansumali, S., Karlin, I. V., & Öttinger, H. C. (2003) · Europhysics Letters (EPL) · doi:10.1209/epl/i2003-00496-6 · Cited by 273
Metadata
- Authors
- Shan, X., & He, X.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1998-01-05
- Volume
- 80
- Issue
- 1
- Pages
- 65-68
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1969064103
- Cited by
- 443
- References
- 17
- FWCI
- 7.83
- 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.
