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Machine-aided turbulence theory

Published online by Cambridge University Press:  31 August 2018

Javier Jiménez Open the ORCID record for Javier Jiménez [Opens in a new window]
Javier Jiménez*
Affiliation:
School of Aeronautics, U. Politécnica Madrid, 28040 Madrid, Spain
*
†Email address for correspondence: jimenez@torroja.dmt.upm.es
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Abstract

The question of whether significant subvolumes of a turbulent flow can be identified by automatic means, independently of a priori assumptions, is addressed using the example of two-dimensional decaying turbulence. Significance is defined as influence on the future evolution of the flow, and the problem is cast as an unsupervised machine ‘game’ in which the rules are the Navier–Stokes equations. It is shown that significance is an intermittent quantity in this particular flow, and that, in accordance with previous intuition, its most significant features are vortices, while the least significant ones are dominated by strain. Subject to cost considerations, the method should be applicable to more general turbulent flows.

JFM classification

Mathematical Foundations: Computational methods Mathematical Foundations: Mathematical Foundations Turbulent Flows: Turbulence theory
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 854 , 10 November 2018 , R1
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Copyright
© 2018 Cambridge University Press 

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