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

Davide Faranda 1, * Valerio Lucarini 2, 3 Paul Manneville 4 Jeroen Wouters 2
* Corresponding author
1 SPEC - UMR3680 - Service de physique de l'état condensé
2 Klimacampus
3 Department of Mathematics and Statistics
4 LadHyX - Laboratoire d'hydrodynamique
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
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https://hal-polytechnique.archives-ouvertes.fr/hal-01048577
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Submitted on : Friday, July 25, 2014 - 9:36:17 AM
Last modification on : Tuesday, December 14, 2021 - 3:19:01 AM

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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 and Fractals, Elsevier, 2014, 64 (july), pp.26-35. ⟨10.1016/j.chaos.2014.01.008⟩. ⟨hal-01048577⟩

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