Journal
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 375, Issue 2089, Pages -Publisher
ROYAL SOC
DOI: 10.1098/rsta.2016.0088
Keywords
wall turbulence; coherent lift-up; self-sustaining processes; attached eddies
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Funding
- Ecole polytechnique
- PSA-Automobiles
- PRES Universite de Toulouse
- Region Midi-Pyrenees
- Engineering and Physical Science Research Council (EPSRC) in UK [EP/N019342/1]
- EPSRC [EP/N019342/1] Funding Source: UKRI
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We collect and discuss the results of our recent studies which show evidence of the existence of a whole family of self-sustaining motions in wall-bounded turbulent shear flows with scales ranging from those of buffer-layer streaks to those of large-scale and very-large-scale motions in the outer layer. The statistical and dynamical features of this family of self-sustaining motions, which are associated with streaks and quasi-streamwise vortices, are consistent with those of Townsend's attached eddies. Motions at each relevant scale are able to sustain themselves in the absence of forcing from larger-or smaller-scale motions by extracting energy from the mean flow via a coherent lift-up effect. The coherent self-sustaining process is embedded in a set of invariant solutions of the filtered Navier-Stokes equations which take into full account the Reynolds stresses associated with the residual smaller-scale motions. This article is part of the themed issue 'Toward the development of high-fidelity models of wall turbulence at large Reynolds number'.
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