The DOI matches its Crossref record; 74 of the 74 references it cites were found in a registry or an index.
Scale-Invariance and Turbulence Models for Large-Eddy Simulation
Abstract
▪ Abstract Relationships between small and large scales of motion in turbulent flows are of much interest in large-eddy simulation of turbulence, in which small scales are not explicitly resolved and must be modeled. This paper reviews models that are based on scale-invariance properties of high-Reynolds-number turbulence in the inertial range. The review starts with the Smagorinsky model, but the focus is on dynamic and similarity subgrid models and on evaluating how well these models reproduce the true impact of the small scales on large-scale physics and how they perform in numerical simulations. Various criteria to evaluate the model performance are discussed, including the so-called a posteriori and a priori studies based on direct numerical simulation and experimental data. Issues are addressed mainly in the context of canonical, incompressible flows, but extensions to scalar-transport, compressible, and reacting flows are also mentioned. Other recent modeling approaches are briefly introduced.
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
Pope, S. B. (2000) · Cambridge University Press eBooks · doi:10.1017/cbo9780511840531 · Cited by 8,477
A dynamic subgrid–scale eddy viscosity model
Germano, M., Piomelli, U., Moin, P., & Cabot, W. H. (1991) · Physics of Fluids A: Fluid Dynamics · doi:10.1063/1.857955 · Cited by 7,305
Turbulence: The Legacy of A.N. Kolmogorov
Frisch, U. (1995) · Cambridge University Press eBooks · doi:10.1017/cbo9781139170666 · Cited by 5,045
The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds' Numbers
Колмогоров, А. Н. (1941) · Доклады Академии наук · Cited by 4,729
The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows
Berkooz, G., Holmes, P., & Lumley, J. L. (1993) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fl.25.010193.002543 · Cited by 4,431
A proposed modification of the Germano subgrid–scale closure method
Lilly, D. K. (1992) · Physics of Fluids A: Fluid Dynamics · doi:10.1063/1.858280 · Cited by 4,077
PDF methods for turbulent reactive flows
Pope, S. B. (1985) · Progress in Energy and Combustion Science · doi:10.1016/0360-1285(85)90002-4 · Cited by 2,593
Lesieur, M. (2008) · Fluid Mechanics and its Applications · doi:10.1007/978-1-4020-6435-7 · Cited by 1,642
A dynamic subgrid-scale model for compressible turbulence and scalar transport
Moin, P., Squires, K., Cabot, W., & Lee, S. (1991) · Physics of Fluids A: Fluid Dynamics · doi:10.1063/1.858164 · Cited by 1,567
Generation of Turbulent Inflow Data for Spatially-Developing Boundary Layer Simulations
Lund, T. S., Wu, X., & Squires, K. D. (1998) · Journal of Computational Physics · doi:10.1006/jcph.1998.5882 · Cited by 1,523
Cited by
Machine Learning for Fluid Mechanics
Brunton, S. L., Noack, B. R., & Koumoutsakos, P. (2020) · Annual Review of Fluid Mechanics · doi:10.1146/annurev-fluid-010719-060214 · Cited by 3,063
Computational aeroacoustics: progress on nonlinear problems of sound generation
Colonius, T., & Lele, S. K. (2004) · Progress in Aerospace Sciences · doi:10.1016/j.paerosci.2004.09.001 · Cited by 549
Physically based modeling in catchment hydrology at 50: Survey and outlook
Paniconi, C., & Putti, M. (2015) · Water Resources Research · doi:10.1002/2015wr017780 · Cited by 374
Data‐Driven Equation Discovery of Ocean Mesoscale Closures
Zanna, L., & Bolton, T. (2020) · Geophysical Research Letters · doi:10.1029/2020gl088376 · Cited by 259
Metadata
- Authors
- Meneveau, C., & Katz, J.
- Venue
- Annual Review of Fluid Mechanics
- Publisher
- Annual Reviews
- Published
- 2000-01
- Volume
- 32
- Issue
- 1
- Pages
- 1-32
- ISSN
- 0066-4189 (ISSN-L)
- 1545-4479
- OpenAlex
- W2139960762
- Cited by
- 1,374
- References
- 74
- FWCI
- 3.70
- 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: Scale-Invariance and Turbulence Models for Large-Eddy Simulation. https://app.cochat.ai/papers/10.1146/annurev.fluid.32.1.1
- The paper
- Meneveau, C., & Katz, J. (2000). Scale-Invariance and Turbulence Models for Large-Eddy Simulation. Annual Review of Fluid Mechanics. https://doi.org/10.1146/annurev.fluid.32.1.1
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.