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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.
Bd. 757
(2014)
.
- S. 888-907.
ISSN 0022-1120
DOI: https://doi.org/10.1017/jfm.2014.510
Abstract
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.
Weitere Angaben
| Publikationsform: | Artikel in einer Zeitschrift |
|---|---|
| Begutachteter Beitrag: | Ja |
| Institutionen der Universität: | Fakultäten > Fakultät für Mathematik, Physik und Informatik > Physikalisches Institut > Lehrstuhl Theoretische Physik I > Lehrstuhl für Theoretische Physik I - Univ.-Prof. Dr. Michael Wilczek Profilfelder > Advanced Fields > Nichtlineare Dynamik Fakultäten Fakultäten > Fakultät für Mathematik, Physik und Informatik Fakultäten > Fakultät für Mathematik, Physik und Informatik > Physikalisches Institut Fakultäten > Fakultät für Mathematik, Physik und Informatik > Physikalisches Institut > Lehrstuhl Theoretische Physik I Profilfelder Profilfelder > Advanced Fields |
| Titel an der UBT entstanden: | Nein |
| Themengebiete aus DDC: | 500 Naturwissenschaften und Mathematik > 530 Physik |
| Eingestellt am: | 23 Feb 2022 08:11 |
| Letzte Änderung: | 23 Feb 2022 08:11 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/67556 |