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Large-eddy simulation study of the logarithmic law for second- and higher-order moments in turbulent wall-bounded flow

Title data

Stevens, Richard J. A. M. ; Wilczek, Michael ; Meneveau, Charles:
Large-eddy simulation study of the logarithmic law for second- and higher-order moments in turbulent wall-bounded flow.
In: Journal of Fluid Mechanics. Vol. 757 (2014) . - pp. 888-907.
ISSN 0022-1120
DOI: https://doi.org/10.1017/jfm.2014.510

Abstract in another language

The logarithmic law for the mean velocity in turbulent boundary layers has long provided a valuable and robust reference for comparison with theories, models and large-eddy simulations (LES) of wall-bounded turbulence. More recently, analysis of high-Reynolds-number experimental boundary-layer data has shown that also the variance and higher-order moments of the streamwise velocity fluctuations u\textquotesingle(+) display logarithmic laws. Such experimental observations motivate the question whether LES can accurately reproduce the variance and the higher-order moments, in particular their logarithmic dependency on distance to the wall. In this study we perform LES of very high-Reynolds-number wall-modelled channel flow and focus on profiles of variance and higher-order moments of the streamwise velocity fluctuations. In agreement with the experimental data, we observe an approximately logarithmic law for the variance in the LES, with a ‵Townsend-Perry\textquotesingle constant of A(1) approximate to 1.25. The LES also yields approximate logarithmic laws for the higher-order moments of the streamwise velocity. Good agreement is found between A(p), the generalized ‵Townsend-Perry\textquotesingle constants for moments of order 2p, from experiments and simulations. Both are indicative of sub-Gaussian behaviour of the streamwise velocity fluctuations. The near-wall behaviour of the variance, the ranges of validity of the logarithmic law and in particular possible dependencies on characteristic length scales such as the roughness length z(0), the LES grid scale Delta, and subgrid scale mixing length C-s Delta are examined. We also present LES results on moments of spanwise and wall-normal fluctuations of velocity.

Further data

Item Type: Article in a journal
Refereed: Yes
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics I > Chair Theoretical Physics I - Univ.-Prof. Dr. Michael Wilczek
Profile Fields > Advanced Fields > Nonlinear Dynamics
Result of work at the UBT: No
DDC Subjects: 500 Science > 530 Physics
Date Deposited: 23 Feb 2022 08:11
Last Modified: 23 Feb 2022 08:11
URI: https://eref.uni-bayreuth.de/id/eprint/67556