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Prediction of near-wall turbulence using minimal flow unit

Published online by Cambridge University Press:  26 February 2018

Guang Yin ,
Wei-Xi Huang Open the ORCID record for Wei-Xi Huang [Opens in a new window]  and
Chun-Xiao Xu Open the ORCID record for Chun-Xiao Xu [Opens in a new window]
Guang Yin
Affiliation:
AML, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
Wei-Xi Huang
Affiliation:
AML, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
Chun-Xiao Xu*
Affiliation:
AML, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
*
†Email address for correspondence: xucx@tsinghua.edu.cn
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Abstract

In the present study, direct numerical simulation (DNS) is carried out in a minimal channel at $Re_{\unicode[STIX]{x1D70F}}=2000$ to sustain healthy turbulence below $y^{+}=100$ . Turbulence intensities are compared with those of the motions at the same scales as the minimal channel in the full-sized channel at $Re_{\unicode[STIX]{x1D70F}}=2003$ (Hoyas & Jiménez, Phys. Fluids, vol. 20 (10), 2008, article 101511). They show good agreement in $y^{+}<100$ . The universal signals for the three velocity components similar to that in the predictive model of Marusic et al. (Science, vol. 329 (5988), 2010, pp. 193–196) are extracted from the DNS data of the full-sized channel. They correspond well to the near-wall velocity fluctuations in the minimal flow unit (MFU). The predictive models for the three components of near-wall velocity fluctuations are proposed based on the MFU data. The predicted turbulence intensities as well as the joint probability density functions of velocity fluctuations agree well with the DNS results of the full-sized channel turbulence.

JFM classification

Turbulent Flows: Turbulent boundary layers Turbulent Flows: Turbulent Flows

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Type
JFM Papers
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Journal of Fluid Mechanics , Volume 841 , 25 April 2018 , pp. 654 - 673
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© 2018 Cambridge University Press 

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