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
* Auteur correspondant
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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Chaos, Solitons and Fractals, Elsevier, 2014, 64 (july), pp.26-35. 〈10.1016/j.chaos.2014.01.008〉
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https://hal-polytechnique.archives-ouvertes.fr/hal-01048577
Contributeur : Denis Roura <>
Soumis le : vendredi 25 juillet 2014 - 09:36:17
Dernière modification le : jeudi 10 mai 2018 - 02:03:39

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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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