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Near-wall patch representation of wall-bounded turbulence

Published online by Cambridge University Press:  28 September 2020

Sean P. Carney Open the ORCID record for Sean P. Carney [Opens in a new window] ,
Björn Engquist  and
Robert D. Moser Open the ORCID record for Robert D. Moser [Opens in a new window]
Sean P. Carney
Affiliation:
Department of Mathematics, The University of Texas at Austin, TX78712, USA
Björn Engquist
Affiliation:
Department of Mathematics, The University of Texas at Austin, TX78712, USA Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin, TX78712, USA
Robert D. Moser*
Affiliation:
Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin, TX78712, USA Department of Mechanical Engineering, The University of Texas at Austin, TX78712, USA
*
†Email address for correspondence: rmoser@oden.utexas.edu
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Abstract

Recent experimental and computational studies indicate that near-wall turbulent flows can be characterized by universal small-scale autonomous dynamics that is modulated by large-scale structures. We formulate numerical simulations of near-wall turbulence in a small domain localized to the boundary, whose size scales in viscous units. To mimic the environment in which the near-wall turbulence evolves, the formulation accounts for the flux of mean momentum through the upper boundary of the domain. Comparisons of the model's two-dimensional energy spectra and low-order single-point statistics with the corresponding quantities computed from direct numerical simulations indicate that it successfully captures the dynamics of the small-scale near-wall turbulence.

JFM classification

Turbulent Flows: Turbulent boundary layers Turbulent Flows: Turbulence simulation Boundary Layers: Boundary layer structure
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 903 , 25 November 2020 , A23
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

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