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Large-eddy simulation of the zero-pressure-gradient turbulent boundary layer up to Re_θ = O(10^(12))

Inoue, M. and Pullin, D. I. (2011) Large-eddy simulation of the zero-pressure-gradient turbulent boundary layer up to Re_θ = O(10^(12)). Journal of Fluid Mechanics, 686 . pp. 507-533. ISSN 0022-1120.

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A near-wall subgrid-scale (SGS) model is used to perform large-eddy simulation (LES) of the developing, smooth-wall, zero-pressure-gradient flat-plate turbulent boundary layer. In this model, the stretched-vortex, SGS closure is utilized in conjunction with a tailored, near-wall model designed to incorporate anisotropic vorticity scales in the presence of the wall. Large-eddy simulations of the turbulent boundary layer are reported at Reynolds numbers Reθ based on the free-stream velocity and the momentum thickness in the range Re_θ = 10^3-10^(12). Results include the inverse square-root skin-friction coefficient, √2/Cf, velocity profiles, the shape factor H, the von Kármán ‘constant’ and the Coles wake factor as functions of Re_θ. Comparisons with some direct numerical simulation (DNS) and experiment are made including turbulent intensity data from atmospheric-layer measurements at Re_θ = O(10^6). At extremely large Re_θ, the empirical Coles–Fernholz relation for skin-friction coefficient provides a reasonable representation of the LES predictions. While the present LES methodology cannot probe the structure of the near-wall region, the present results show turbulence intensities that scale on the wall-friction velocity and on the Clauser length scale over almost all of the outer boundary layer. It is argued that LES is suggestive of the asymptotic, infinite Reynolds number limit for the smooth-wall turbulent boundary layer and different ways in which this limit can be approached are discussed. The maximum Re_θ of the present simulations appears to be limited by machine precision and it is speculated, but not demonstrated, that even larger Re_θ could be achieved with quad- or higher-precision arithmetic.

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Additional Information:© 2011 Cambridge University Press. Received 14 February 2011; revised 5 August 2011; accepted 7 August 2011; first published online 29 September 2011. This work has been supported in part by the National Science Foundation under Grant DMS-0714050. Helpful discussions with I. Marusic and B. McKeon are acknowledged.
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Subject Keywords:turbulence modelling, turbulence simulation, turbulent boundary layers
Record Number:CaltechAUTHORS:20120103-113141281
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Official Citation:Large-eddy simulation of the zero-pressure-gradient turbulent boundary layer up to Re θ = O(1012) M. Inoue and D. I. Pullin
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:28613
Deposited By: Ruth Sustaita
Deposited On:03 Jan 2012 21:44
Last Modified:03 Oct 2019 03:34

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