The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Volumetric formulation of the lattice Boltzmann method for fluid dynamics: Basic concept
Abstract
A lattice Boltzmann algorithm based on a volumetric representation is formulated for achieving properties consistent with the standard form at finer resolution. In contrast to pointwise interpolation schemes, this approach can be applied to arbitrary meshes without compromising exact conservation or equilibrium properties.
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Cites
Bhatnagar, P. L., Gross, E. P., & Krook, M. (1954) · Physical Review · doi:10.1103/physrev.94.511 · Cited by 8,543
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
Renormalization group analysis of turbulence. I. Basic theory
Yakhot, V., & Orszag, S. A. (1986) · Journal of Scientific Computing · doi:10.1007/bf01061452 · Cited by 4,265
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
Self-citationThe Boltzmann Equation and Its Applications
Cercignani, C. (1988) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-1039-9 · Cited by 3,130
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
Lectures on Phase Transitions and the Renormalization Group
Goldenfeld, N. (2018) · CRC Press eBooks · doi:10.1201/9780429493492 · Cited by 2,353
The lattice Boltzmann equation: theory and applications
Benzi, R., Succi, S., & Vergassola, M. (1992) · Physics Reports · doi:10.1016/0370-1573(92)90090-m · Cited by 2,077
Lattice Boltzmann model of immiscible fluids
Gunstensen, A. K., Rothman, D. H., Zaleski, S., & Zanetti, G. (1991) · Physical Review A · doi:10.1103/physreva.43.4320 · Cited by 1,621
Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method
Chen, H., Chen, S., & Matthaeus, W. H. (1992) · Physical Review A · doi:10.1103/physreva.45.r5339 · Cited by 1,553
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Cited by
Lattice Boltzmann method on unstructured grids: Further developments
Ubertini, S., Bella, G., & Succi, S. (2003) · Physical Review E · doi:10.1103/physreve.68.016701 · Cited by 128
Metadata
- Authors
- Chen, H.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1998-09-01
- Volume
- 58
- Issue
- 3
- Pages
- 3955-3963
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2076102979
- Cited by
- 294
- References
- 23
- FWCI
- 5.93
- Type
- journal article
- Language
- en
- Open access
- closed
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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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