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Nonlinear Reynolds stress models and the renormalization group
Abstract
The renormalization group is applied to derive a nonlinear algebraic Reynolds stress model of anisotropic turbulence in which the Reynolds stresses are quadratic functions of the mean velocity gradients. The model results from a perturbation expansion that is truncated systematically at second order with subsequent terms contributing no further information. The resulting turbulence model applies to both low and high Reynolds number flows without requiring wall functions or ad hoc modifications of the equations. All constants are derived from the renormalization group procedure; no adjustable constants arise. The model permits inequality of the Reynolds normal stresses, a necessary condition for calculating turbulence-driven secondary flows in noncircular ducts.
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Citations
Cited by
Development of turbulence models for shear flows by a double expansion technique
Yakhot, V., Orszag, S. A., Thangam, S., Gatski, T. B., & Speziale, C. G. (1992) · Physics of Fluids A: Fluid Dynamics · doi:10.1063/1.858424 · Cited by 2,832
Convective Heat and Mass Transfer
Ghiaasiaan, S. M. (2011) · Cambridge University Press eBooks · doi:10.1017/cbo9780511800603 · Cited by 788
Analytical Methods for the Development of Reynolds-Stress Closures in Turbulence
Speziale, C. G. (1991) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fl.23.010191.000543 · Cited by 593
Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
Chen, S., Foias, C., Holm, D. D., Olson, E., Titi, E. S., & Wynne, S. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.5338 · Cited by 347
Metadata
- Authors
- Rubinstein, R., & Barton, J. M.
- Venue
- Physics of Fluids A: Fluid Dynamics
- Publisher
- AIP Publishing
- Published
- 1990-08-01
- Volume
- 2
- Issue
- 8
- Pages
- 1472-1476
- ISSN
- 0899-8213 (ISSN-L)
- OpenAlex
- W2055774530
- Cited by
- 204
- References
- 0
- FWCI
- 9.99
- Type
- journal article
- Language
- en
- Open access
- closed
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- Rubinstein, R., & Barton, J. M. (1990). Nonlinear Reynolds stress models and the renormalization group. Physics of Fluids A: Fluid Dynamics. https://doi.org/10.1063/1.857595
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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.
