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Elsevier, Chaos, Solitons and Fractals, (64), p. 26-35

DOI: 10.1016/j.chaos.2014.01.008

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On using extreme values to detect global stability thresholds in multi-stable systems: The case of transitional plane Couette flow

Journal article published in 2014 by Davide Faranda ORCID, Valerio Lucarini ORCID, Paul Manneville, Jeroen Wouters ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

Extreme Value Theory (EVT) is exploited to determine the global stability threshold Rg of plane Couette flow - the flow of a viscous fluid in the space between two parallel plates - whose laminar or turbulent behavior depends on the Reynolds number R . Even if the existence of a global stability threshold has been detected in simulations and experiments, its numerical value has not been unequivocally defined. Rg is the value such that for R>Rg, turbulence is sustained, whereas for R