The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Low Reynolds number k—ε modelling with the aid of direct simulation data
Abstract
The constant Cμ and the near-wall damping function fμ in the eddy-viscosity relation of the k–ε model are evaluated from direct numerical simulation (DNS) data for developed channel and boundary-layer flow, each at two Reynolds numbers. Various existing fμ model functions are compared with the DNS data, and a new function is fitted to the high-Reynolds-number channel flow data. The ε-budget is computed for the fully developed channel flow. The relative magnitude of the terms in the ε-equation is analysed with the aid of scaling arguments, and the parameter governing this magnitude is established. Models for the sum of all source and sink terms in the ε-equation are tested against the DNS data, and an improved model is proposed.
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
Turbulence statistics in fully developed channel flow at low Reynolds number
Kim, J., Moin, P., & Moser, R. (1987) · Journal of Fluid Mechanics · doi:10.1017/s0022112087000892 · Cited by 4,873
Research works printed but not linked: 9
- Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence .The MIT Press. · DOI · Paper page
- Rodi, W. 1975 A note on the empirical constant in the Kolmogorov–Prandtl eddy-viscosity expression.Trans. ASME I:J. Fluids Engng 97,386–389.
- Chien, K.-Y. 1982 Predictions of channel and boundary-layer flows with a low-Reynolds-number turbulence model.AIAA J. 20,33–38 (referred to herein as CH) · DOI
- Shih, T.-H. & Mansour, N. N. 1990 Modelling of near-wall turbulence. In Engineering Turbulence Modelling and Experiments (ed. W. Rodi & E. N. Ganić ).Elsevier (referred to herein as SM.)
- Patel, V. C. , Rodi, W. & Scheuerer, G. 1985 Turbulence models for near-wall and low-Reynolds-number flows: A review.AIAA J. 23,1308–1319. · DOI · Paper page
- Nagano, Y. & Tagawa, M. 1990 An improved k–ε model for boundary layer flows.Trans. ASME I:J. Fluids Engng 112,33–39 (referred to herein as NT.) · doi:10.1115/1.2909365
- Lam, C. K. G. & Bremhorst, K. A. 1981 Modified form of the k-ε model for predicting wall turbulence.Trans. ASME I:J. Fluids Engng 103,456–460 (referred to herein as LB.) · doi:10.1115/1.3240815
- Bardina, J. 1988 Turbulence modelling based on direct simulation of the Navier–Stokes equations.First National Fluid Dynamics Congress, Cincinnati, Ohio, AIAA 88-3747-CP . · doi:10.2514/6.1988-3747
- Launder, B. E. & Sharma, B. I. 1974 Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disk.Lett. Heat Mass Transfer 1,131–138 (referred to herein as LS.) · DOI · Paper page
Cited by
Direct numerical simulation of turbulent channel flow up to Reτ=590
Moser, R. D., Kim, J., & Mansour, N. N. (1999) · Physics of Fluids · doi:10.1063/1.869966 · Cited by 2,682
Self-citationTopology of fine-scale motions in turbulent channel flow
Blackburn, H. M., Mansour, N. N., & Cantwell, B. J. (1996) · Journal of Fluid Mechanics · doi:10.1017/s0022112096001802 · Cited by 273
Self-citationModeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review
Luzi, G., & McHardy, C. (2022) · Energies · doi:10.3390/en15113966 · Cited by 44
Metadata
- Authors
- Rodi, W., & Mansour, N. N.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1993-05
- Volume
- 250
- Pages
- 509-529
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2054463017
- Cited by
- 210
- References
- 1
- FWCI
- 18.61
- 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: Low Reynolds number k—ε modelling with the aid of direct simulation data. https://app.cochat.ai/papers/10.1017/s0022112093001545
- The paper
- Rodi, W., & Mansour, N. N. (1993). Low Reynolds number k—ε modelling with the aid of direct simulation data. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112093001545
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.