The performance of some commonly used eddy-viscosity turbulence models has been evaluated using direct numerical simulation (DNS) and large-eddy simulation (LES) data. Two configurations have been tested, a two-dimensional boundary layer undergoing pressure-driven separation, and a square duct. The DNS and LES were used to assess the $k\u2212\epsilon $, $\zeta \u2212f$, $k\u2212\omega $, and Spalart–Allmaras models. For the two-dimensional separated boundary layer, anisotropic effects are not significant and the eddy-viscosity assumption works well. However, the near-wall treatment used in $k\u2212\epsilon $ models was found to have a critical effect on the predictive accuracy of the model (and, in particular, of separation and reattachment points). None of the wall treatments tested resulted in accurate prediction of the flow field. Better results were obtained with models that do not require special treatment in the inner layer ($\zeta \u2212f$, $k\u2212\omega $, and Spalart–Allmaras models). For the square duct calculation, only a nonlinear constitutive relation was found to be able to capture the secondary flow, giving results in agreement with the data. Linear models had significant error.

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# Evaluation of Turbulence Models Using Direct Numerical and Large-Eddy Simulation Data

Hassan Raiesi

,
Hassan Raiesi

Department of Mechanical and Material Engineering,

raiesi@me.queensu.ca
Queen’s University

, Kingston, ON, K7L 3N6, Canada
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Ugo Piomelli

,
Ugo Piomelli

Department of Mechanical and Material Engineering,

Queen’s University

, Kingston, ON, K7L 3N6, Canada
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Andrew Pollard
Department of Mechanical and Material Engineering,

Andrew Pollard

Queen’s University

, Kingston, ON, K7L 3N6, Canada
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Hassan Raiesi

Queen’s University

, Kingston, ON, K7L 3N6, Canadaraiesi@me.queensu.ca

Ugo Piomelli

Queen’s University

, Kingston, ON, K7L 3N6, Canada
Andrew Pollard

Queen’s University

, Kingston, ON, K7L 3N6, Canada*J. Fluids Eng*. Feb 2011, 133(2): 021203 (10 pages)

**Published Online:**March 2, 2011

Article history

Received:

September 13, 2010

Online:

March 2, 2011

Published:

March 2, 2011

Revised:

November 29, 2011

Citation

Raiesi, H., Piomelli, U., and Pollard, A. (March 2, 2011). "Evaluation of Turbulence Models Using Direct Numerical and Large-Eddy Simulation Data." ASME. *J. Fluids Eng*. February 2011; 133(2): 021203. doi: https://doi.org/10.1115/1.4003425

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