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Technical Brief

Note on Turbulent Kinetic Energy Production for Reynolds-Averaged Navier–Stokes Models

[+] Author and Article Information
Solkeun Jee

United Technologies Research Center,
411 Silver Lane MS 129-89,
East Hartford, CT 06108
e-mail: solkeun.jee@utrc.utc.com

Gorazd Medic, Georgi Kalitzin

United Technologies Research Center,
411 Silver Lane MS 129-89,
East Hartford, CT 06108

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received November 4, 2015; final manuscript received May 23, 2016; published online July 15, 2016. Assoc. Editor: Praveen Ramaprabhu.

J. Fluids Eng 138(11), 114502 (Jul 15, 2016) (2 pages) Paper No: FE-15-1799; doi: 10.1115/1.4033750 History: Received November 04, 2015; Revised May 23, 2016

Linear eddy-viscosity Reynolds-Averaged Navier–Stokes (RANS) turbulence models are based on the Boussinesq approximation that asserts the Reynolds stresses to be linearly dependent on the mean strain rate. Using the Boussinesq approximation for the Reynolds stress yields a production term in the turbulent kinetic energy equation that is proportional to the square of the magnitude of the strain rate tensor. For some flows, this relation to the strain causes overproduction of turbulence. Widely used ad hoc modifications of the production term using vorticity lead to an inconsistent energy balance in the mean flow kinetic energy equation, violating the energy conservation. In this note, how to obtain a consistent RANS framework for a given production term modification is shown.

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References

Durbin, P. A. , 1996, “ On the k-Epsilon Stagnation Point Anomaly,” Int. J. Heat Fluid Flow, 17(1), pp. 89–90. [CrossRef]
Mishra, A. A. , and Girimaji, S. S. , 2014, “ On the Realizability of Pressure-Strain Closures,” J. Fluid Mech., 755, pp. 535–560. [CrossRef]
Pope, S. B. , 1985, “ PDF Methods for Turbulent Reactive Flows,” Prog. Energy Combust. Sci., 11(2), pp. 119–192. [CrossRef]
Shih, T. H. , Zhu, J. , and Lumley, J. L. , 1995, “ A New Reynolds Stress Algebraic Equation Model,” Comput. Methods Appl. Mech. Eng., 125(1–4), pp. 287–302. [CrossRef]
Boussinesq, J. , 1877, Essai sur la Théorie des Eaux Courantes Mémoires présentés par divers savants à l'Académie des Sciences, Vol. 23, pp. 1–680.
Durbin, P. A. , and Reif, B. A. P. , 2011, Statistical Theory and Modeling for Turbulent Flows, 2nd ed., John Wiley & Sons Ltd., West Sussex, UK.
Menter, F. R. , 1992, “ Improved Two-Equation k-Omega Turbulence Models for Aerodynamic Flows,” Report No. NASA TM 103975.
Kato, M. , and Launder, B. E. , 1993, “ The Modeling of Turbulent Flow Around Stationary and Vibrating Square Cylinders,” 9th Symposium on Turbulent Shear Flows, Kyoto, Japan, pp. 10.4.1–10.4.6.
Pope, S. B. , 2000, Turbulent Flows, Cambridge University Press, Cambridge, UK.
Rodi, W. , 1997, “ Comparison of LES and RANS Calculations of the Flow Around Bluff Bodies,” J. Wind Eng. Ind. Aerodyn., 69, pp. 55–75. [CrossRef]
Pope, S. B. , 1975, “ A More General Effective-Viscosity Hypothesis,” J. Fluid Mech., 72(2), pp. 331–340. [CrossRef]
Bush, R. H. , 2014, “ Turbulence Model Extension for Low Speed Thermal Shear Layers,” AIAA Paper No. 2014-2086.

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