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

Davide Faranda; Valerio Lucarini; Paul Manneville; Jeroen Wouters

doi:10.1016/j.chaos.2014.01.008

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

Type de document :

Article dans une revue

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

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

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

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