Global optimal perturbations in a separated flow over a backward-rounded-step

O. Marquet, D. Sipp, L. Jacquin

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We study through numerical instability analysis the linear three-dimensional dynamics of a recirculation bubble by separating the large-time dynamics from the short-time dynamics. In the former a global mode analysis is used to identify the three-dimensional bifurcation, analyse the structure of the leading global mode and identify the large-time optimal initial perturbation. In the latter an optimal perturbation analysis reveals that the shear layer of the recirculation bubble allows for intense amplification of the energy for two and three-dimensional initial perturbations. In both cases, the perturbations leading to the most amplification take the form of wave packet initially located in the vicinity of the separation and advected downstream along the separation line of the recirculation bubble. The short-time dynamics is characterized by an optimal time Topt leading to the maximum amplification of the energy for any initial optimal perturbations. Physically it corresponds to the time of transport of the perturbation by the base flow over the length of the recirculation bubble.

Original languageEnglish
Title of host publicationCollection of Technical Papers - 36th AIAA Fluid Dynamics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
Pages163-172
Number of pages10
ISBN (Print)1563478102, 9781563478109
DOIs
Publication statusPublished - 1 Jan 2006
Externally publishedYes
Event36th AIAA Fluid Dynamics Confernce - San Francisco, CA, United States
Duration: 5 Jun 20068 Jun 2006

Publication series

NameCollection of Technical Papers - 36th AIAA Fluid Dynamics Conference
Volume1

Conference

Conference36th AIAA Fluid Dynamics Confernce
Country/TerritoryUnited States
CitySan Francisco, CA
Period5/06/068/06/06

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