On using extreme values to detect global stability thresholds in multi-stable systems: The case of transitional plane Couette flow - École polytechnique Access content directly
Journal Articles Chaos, Solitons & Fractals Year : 2014

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

Paul Manneville
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Jeroen Wouters
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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

Dates and versions

hal-01048577 , version 1 (25-07-2014)

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Davide Faranda, Valerio Lucarini, Paul Manneville, Jeroen Wouters. On using extreme values to detect global stability thresholds in multi-stable systems: The case of transitional plane Couette flow. Chaos, Solitons & Fractals, 2014, 64 (july), pp.26-35. ⟨10.1016/j.chaos.2014.01.008⟩. ⟨hal-01048577⟩
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