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Power-law versus log-law in wall-bounded turbulence: A large-eddy simulation perspective

Cheng, W. and Samtaney, R. (2014) Power-law versus log-law in wall-bounded turbulence: A large-eddy simulation perspective. Physics of Fluids, 26 (1). Art. No. 011703. ISSN 1070-6631. https://resolver.caltech.edu/CaltechAUTHORS:20140320-094105064

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Abstract

The debate whether the mean streamwise velocity in wall-bounded turbulent flows obeys a log-law or a power-law scaling originated over two decades ago, and continues to ferment in recent years. As experiments and direct numerical simulation can not provide sufficient clues, in this study we present an insight into this debate from a large-eddy simulation (LES) viewpoint. The LES organically combines state-of-the-art models (the stretched-vortex model and inflow rescaling method) with a virtual-wall model derived under different scaling law assumptions (the log-law or the power-law by George and Castillo [“Zero-pressure-gradient turbulent boundary layer,” Appl. Mech. Rev.50, 689 (1997)]). Comparison of LES results for Re θ ranging from 10^5 to 10^(11) for zero-pressure-gradient turbulent boundary layer flows are carried out for the mean streamwise velocity, its gradient and its scaled gradient. Our results provide strong evidence that for both sets of modeling assumption (log law or power law), the turbulence gravitates naturally towards the log-law scaling at extremely large Reynolds numbers.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.4862919DOIArticle
http://scitation.aip.org/content/aip/journal/pof2/26/1/10.1063/1.4862919PublisherArticle
ORCID:
AuthorORCID
Cheng, W.0000-0003-3960-4162
Samtaney, R.0000-0002-4702-6473
Additional Information:© 2014 AIP Publishing LLC. Received 28 September 2013; accepted 9 January 2014; published online 29 January 2014. Wan Cheng was supported by CCRC, KAUST. We gratefully acknowledge computer time on Shaheen, the IBM Blue Gene P supercomputer at KAUST.
Funders:
Funding AgencyGrant Number
CCRCUNSPECIFIED
KAUSTUNSPECIFIED
Issue or Number:1
Record Number:CaltechAUTHORS:20140320-094105064
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140320-094105064
Official Citation: Power-law versus log-law in wall-bounded turbulence: A large-eddy simulation perspective W. Cheng and R. Samtaney Phys. Fluids 26, 011703 (2014); http://dx.doi.org/10.1063/1.4862919
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:44404
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:20 Mar 2014 17:03
Last Modified:03 Oct 2019 06:17

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