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Article Dans Une Revue Fluid Dynamics Research Année : 2016

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

Résumé

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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Dates et versions

hal-02445432 , version 1 (20-01-2020)

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Jean-Christophe Loiseau, Jean-Christophe Robinet, E. Leriche. Intermittency and transition to chaos in the cubical lid-driven cavity flow. Fluid Dynamics Research, 2016, 48 (6), pp.061421-061432. ⟨10.1088/0169-5983/48/6/061421⟩. ⟨hal-02445432⟩
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