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Extreme-scale motions in turbulent plane Couette flows

Published online by Cambridge University Press:  06 March 2018

Myoungkyu Lee Open the ORCID record for Myoungkyu Lee [Opens in a new window]  and
Robert D. Moser Open the ORCID record for Robert D. Moser [Opens in a new window]
Myoungkyu Lee
Affiliation:
Center for Predictive Engineering and Computational Sciences, Insititute for Computational Engineering and Sciences, The University of Texas at Austin, TX 78712, USA
Robert D. Moser*
Affiliation:
Center for Predictive Engineering and Computational Sciences, Insititute for Computational Engineering and Sciences, The University of Texas at Austin, TX 78712, USA Department of Mechanical Engineering, The University of Texas at Austin, TX 78712, USA
*
†Email address for correspondence: rmoser@ices.utexas.edu
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Abstract

We study the large-scale motions in turbulent plane Couette flows at moderate friction Reynolds number up to $Re_{\unicode[STIX]{x1D70F}}=500$. Direct numerical simulation (DNS) domains were as large as $100\unicode[STIX]{x03C0}\unicode[STIX]{x1D6FF}\times 2\unicode[STIX]{x1D6FF}\times 5\unicode[STIX]{x03C0}\unicode[STIX]{x1D6FF}$, where $\unicode[STIX]{x1D6FF}$ is half the distance between the walls. The results indicate that there are streamwise vortices filling the space between the walls that remain correlated over distances in the streamwise direction and that increase strongly with the Reynolds number, so that for the largest Reynolds number studied here, they are correlated across the entire $100\unicode[STIX]{x03C0}\unicode[STIX]{x1D6FF}$ length of the domain. The presence of these very long structures is apparent in the spectra of all three velocity components and the Reynolds stress. In DNS using a smaller domain, the large structures are constrained, eliminating the streamwise variations present in the larger domain. Near the centre of the domain, these large-scale structures contribute as much as half of the Reynolds shear stress.

JFM classification

Turbulent Flows: Turbulence simulation Turbulent Flows: Turbulent boundary layers Turbulent Flows: Turbulent Flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 842 , 10 May 2018 , pp. 128 - 145
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Copyright
© 2018 Cambridge University Press 

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