Global low-frequency oscillations in a separating boundary-layer flow

Uwe Ehrenstein (1) , Francois Gallaire (2)

1 IRPHE - Institut de Recherche sur les Phénomènes Hors Equilibre
2 JAD - Laboratoire Jean Alexandre Dieudonné

A separated boundary layer flow at the rear of a bump is considered and two-dimensional flow states at increasing Reynolds numbers are computed using a nonlinear continuation procedure for the stationary Navier-Stokes system. The global instability analysis of the steady states is performed by computing two-dimensional temporal modes. The analysis reveals non-normal modes which are able to describe localized initial perturbations associated with large transient energy growth. At larger time a global low-frequency oscillation is found accompanied with periodic regeneration of the flow perturbation inside the bubble, as the consequence of non-normal cancellation of modes. The initial condition provided by the optimal perturbation analysis is applied to Navier-Stokes time integration and is shown to trigger nonlinear 'flapping' typical for separation bubbles.

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Uwe Ehrenstein, Francois Gallaire. Global low-frequency oscillations in a separating boundary-layer flow. IUTAM Symposium "Unsteady Separated Flows and their Control", Jun 2007, Corfu, Greece. pp.123-133. ⟨hal-00213445⟩