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Intermittency and transition to chaos in the cubical lid-driven cavity flow
KTH, School of Engineering Sciences (SCI), Mechanics, Physicochemical Fluid Mechanics.
2016 (English)In: Fluid Dynamics Research, ISSN 0169-5983, E-ISSN 1873-7005, Vol. 48, no 6, article id 061421Article in journal (Refereed) Published
Abstract [en]

Transition from steady state to intermittent chaos in the cubical lid-driven cavity flow is investigated numerically. Fully three-dimensional stability analyses have revealed that the flow experiences an Andronov-Poincare-Hopf bifurcation at a critical Reynolds number Re-c. = 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.

Place, publisher, year, edition, pages
Institute of Physics Publishing , 2016. Vol. 48, no 6, article id 061421
Keywords [en]
lid-driven cavity, global instability, intermittency, chaos
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-197760DOI: 10.1088/0169-5983/48/6/061421ISI: 000388027900022Scopus ID: 2-s2.0-84994802365OAI: oai:DiVA.org:kth-197760DiVA, id: diva2:1063448
Conference
6th International Symposium on Instability and Bifurcations in Fluid Dynamics (BIFD), JUL 15-17, 2015, ESPCI, Paris, FRANCE
Note

QC 20170110

Available from: 2017-01-10 Created: 2016-12-08 Last updated: 2017-11-29Bibliographically approved

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