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Recurrent flows: the clockwork behind turbulence

Published online by Cambridge University Press:  06 June 2013

Predrag Cvitanović
Predrag Cvitanović*
Affiliation:
School of Physics, Georgia Institute of Technology, Atlanta, GA 30332, USA
*
†Email address for correspondence: [email protected]
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Abstract

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The understanding of chaotic dynamics in high-dimensional systems that has emerged in the last decade offers a promising dynamical framework to study turbulence. Here turbulence is viewed as a walk through a forest of exact solutions in the infinite-dimensional state space of the governing equations. Recently, Chandler & Kerswell (J. Fluid Mech., vol. 722, 2013, pp. 554–595) carry out the most exhaustive study of this programme undertaken so far in fluid dynamics, a feat that requires every tool in the dynamicist’s toolbox: numerical searches for recurrent flows, computation of their stability, their symmetry classification, and estimating from these solutions statistical averages over the turbulent flow. In the long run this research promises to develop a quantitative, predictive description of moderate-Reynolds-number turbulence, and to use this description to control flows and explain their statistics.

JFM classification

Instability: Instability Instability: Transition to turbulence Turbulent Flows: Turbulence theory
Type
Focus on Fluids
Information
Journal of Fluid Mechanics , Volume 726 , 10 July 2013 , pp. 1 - 4
Copyright
©2013 Cambridge University Press 

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