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A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers
Abstract
The three-dimensional, primitive equations of motion have been integrated numerically in time for the case of turbulent, plane Poiseuille flow at very large Reynolds numbers. A total of 6720 uniform grid intervals were used, with sub-grid scale effects simulated with eddy coefficients proportional to the local velocity deformation. The agreement of calculated statistics against those measured by Laufer ranges from good to marginal. The eddy shapes are examined, and only the u-component, longitudinal eddies are found to be elongated in the downstream direction. However, the lateral v eddies have distinct downstream tilts. The turbulence energy balance is examined, including the separate effects of vertical diffusion of pressure and local kinetic energy. It is concluded that the numerical approach to the problem of turbulence at large Reynolds numbers is already profitable, with increased accuracy to be expected with modest increase of numerical resolution.
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Citations
Cited by
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 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
Oceanic vertical mixing: A review and a model with a nonlocal boundary layer parameterization
Large, W. G., McWilliams, J. C., & Doney, S. C. (1994) · Reviews of Geophysics · doi:10.1029/94rg01872 · Cited by 4,443
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
Energy Cascade in Large-Eddy Simulations of Turbulent Fluid Flows
Leonard, A. (1975) · Advances in Geophysics · doi:10.1016/s0065-2687(08)60464-1 · Cited by 1,121
Metadata
- Authors
- Deardorff, J. W.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1970-04-13
- Volume
- 41
- Issue
- 2
- Pages
- 453-480
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2055059354
- Cited by
- 1,982
- References
- 0
- FWCI
- 13.27
- Type
- journal article
- Language
- en
- Open access
- closed
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- Deardorff, J. W. (1970). A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112070000691
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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.
