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)

1 SPEC - UMR3680 - Service de physique de l'état condensé
2 Klimacampus
3 Department of Mathematics and Statistics
4 LadHyX - Laboratoire d'hydrodynamique

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

Domains: Nonlinear Sciences [physics]; Chaotic Dynamics [nlin.CD]; Physics [physics]; Mechanics [physics]; Fluid mechanics [physics.class-ph]

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⟩