The DOI matches its Crossref record; 65 of the 65 references it cites were found in a registry or an index.
The lattice Boltzmann equation method: theoretical interpretation, numerics and implications
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Volume of fluid (VOF) method for the dynamics of free boundaries
Hirt, C. W., & Nichols, B. D. (1981) · Journal of Computational Physics · doi:10.1016/0021-9991(81)90145-5 · Cited by 16,105
An Introduction to Fluid Dynamics
Batchelor, G. K. (2000) · doi:10.1017/cbo9780511800955 · Cited by 12,360
Free Energy of a Nonuniform System. I. Interfacial Free Energy
Cahn, J. W., & Hilliard, J. E. (1958) · The Journal of Chemical Physics · doi:10.1063/1.1744102 · Cited by 10,437
Bhatnagar, P. L., Gross, E. P., & Krook, M. (1954) · Physical Review · doi:10.1103/physrev.94.511 · Cited by 8,543
The mathematical theory of non-uniform gases
(1953) · Journal of the Franklin Institute · doi:10.1016/0016-0032(53)90422-0 · Cited by 7,601
LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
Chen, S., & Doolen, G. D. (1998) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.30.1.329 · Cited by 7,314
Theory of dynamic critical phenomena
Hohenberg, P. C., & Halperin, B. I. (1977) · Reviews of Modern Physics · doi:10.1103/revmodphys.49.435 · Cited by 6,891
Efficient Implementation of Weighted ENO Schemes
Jiang, G.-S., & Shu, C.-W. (1996) · Journal of Computational Physics · doi:10.1006/jcph.1996.0130 · Cited by 6,571
An introduction to fluid dynamics
Curle, N. (1968) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(68)90038-0 · Cited by 6,135
A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows
Patankar, S. V., & SPALDING, D. B. (1972) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(72)90054-3 · Cited by 6,006
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
Equations of state in a lattice Boltzmann model
Yuan, P., & Schaefer, L. (2006) · Physics of Fluids · doi:10.1063/1.2187070 · Cited by 1,074
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
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
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
Metadata
- Authors
- Nourgaliev, R. R., Dinh, T. N., Theofanous, T. G., & Joseph, D.
- Venue
- International Journal of Multiphase Flow
- Publisher
- Elsevier BV
- Published
- 2003-01
- Volume
- 29
- Issue
- 1
- Pages
- 117-169
- ISSN
- 0301-9322 (ISSN-L)
- OpenAlex
- W2169366690
- Cited by
- 437
- References
- 65
- FWCI
- 14.07
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: The lattice Boltzmann equation method: theoretical interpretation, numerics and implications. https://app.cochat.ai/papers/10.1016/s0301-9322(02)00108-8
- The paper
- Nourgaliev, R. R., Dinh, T. N., Theofanous, T. G., & Joseph, D. (2003). The lattice Boltzmann equation method: theoretical interpretation, numerics and implications. International Journal of Multiphase Flow. https://doi.org/10.1016/s0301-9322(02)00108-8
Data sources
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.