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Intermittency and transition to chaos in the cubical lid-driven cavity flow

Type
Articles dans des revues avec comité de lecture
Author
LOISEAU, Jean-Christophe
134975 Laboratoire de Dynamique des Fluides [DynFluid]
366312 Royal Institute of Technology [Stockholm] [KTH ]
ROBINET, Jean-Christophe
134975 Laboratoire de Dynamique des Fluides [DynFluid]
492366 Airbus Safran Launchers
LERICHE, Emmanuel
374570 Université de Lille

URI
http://hdl.handle.net/10985/17838
DOI
10.1088/0169-5983/48/6/061421
Date
2016
Journal
Fluid Dynamics Research

Abstract

Transition from steady state to intermittent chaos in the cubical lid-driven flow is investigated numerically. Fully three-dimensional stability analyses have revealed that the flow experiences an Andronov-Poincaré-Hopf bifurcation at a critical Reynolds number Rec = 1914. As for the 2D-periodic lid-driven cavity flows, the unstable mode originates from a centrifugal instability of the primary vortex core. A Reynolds-Orr analysis reveals that the unstable perturbation relies on a combination of the lift-up and anti lift-up mechanisms to extract its energy from the base flow. Once linearly unstable, direct numerical simulations show that the flow is driven toward a primary limit cycle before eventually exhibiting intermittent chaotic dynamics. Though only one eigenpair of the linearized Navier-Stokes operator is unstable, the dynamics during the intermittencies are surprisingly well characterized by one of the stable eigenpairs.

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