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A.L.-D. and H.J.B. acknowledge the support of NASA Transformative Aeronautics Concepts Program (grant no. NNX15AU93A) and the Office of Naval Research (grant no. N00014-16-S-BA10). This work was also supported by the Coturb project of the European Research Council (ERC-2014.AdG-669505) during the 2017 Coturb Turbulence Summer Workshop at the UPM. We thank Dr N. C. Constantinou, Dr J. I. Cardesa, Dr G. Tissot and Professor J. Jimenez, Professor P. J. Ioannou and Professor X. S. Liang for their helpful comments on earlier versions of the work.

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Causality of energy-containing eddies in wall turbulence

Publicat a:Journal Of Fluid Mechanics. 882 (A2): - 2020-01-01 882(A2), DOI: 10.1017/jfm.2019.801

Autors: Lozano-Duran, Adrian; Bae, H. Jane; Encinar, Miguel P.;

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Resum

Turbulent flows in the presence of walls may be apprehended as a collection of momentum- and energy-containing eddies (energy-eddies), whose sizes differ by many orders of magnitude. These eddies follow a self-sustaining cycle, i.e. existing eddies are seeds for the inception of new ones, and so forth. Understanding this process is critical for the modelling and control of geophysical and industrial flows, in which a non-negligible fraction of the energy is dissipated by turbulence in the immediate vicinity of walls. In this study, we examine the causal interactions of energy-eddies in wall-bounded turbulence by quantifying how the knowledge of the past states of eddies reduces the uncertainty of their future states. The analysis is performed via direct numerical simulation of turbulent channel flows in which time-resolved energy-eddies are isolated at a prescribed scale. Our approach unveils, in a simple manner, that causality of energy-eddies in the buffer and logarithmic layers is similar and independent of the eddy size. We further show an example of how novel flow control and modelling strategies can take advantage of such self-similar causality.

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