Minimal perturbations approaching the edge of chaos in a Couette flow
dc.contributor.author
hal.structure.identifier | CHERUBINI, Stefania
|
dc.contributor.author
hal.structure.identifier | DE PALMA, Pietro
|
dc.date.accessioned | 2014 |
dc.date.available | 2014 |
dc.date.issued | 2014 |
dc.date.submitted | 2014 |
dc.identifier.issn | 0169-5983 |
dc.identifier.uri | http://hdl.handle.net/10985/8971 |
dc.description.abstract | This paper provides an investigation of the structure of the stable manifold of the lower branch steady state for the plane Couette flow. Minimal energy perturbations to the laminar state are computed, which approach within a prescribed tolerance the lower branch steady state in a finite time. For small times, such minimal-energy perturbations maintain at least one of the symmetries characterizing the lower branch state. For a sufficiently large time horizon, such symmetries are broken and the minimal-energy perturbations on the stable manifold are formed by localized asymmetrical vortical structures. These minimal-energy perturbations could be employed to develop a control procedure aiming at stabilizing the low-dissipation lower branch state. |
dc.language.iso | en |
dc.publisher | IOP Publishing |
dc.rights | Post-print |
dc.subject | Control procedures |
dc.subject | Couette flows |
dc.subject | Edge of chaos |
dc.subject | Minimal energy |
dc.subject | Plane Couette flow |
dc.subject | Stable manifold |
dc.subject | Time horizons |
dc.subject | Vortical structures |
dc.title | Minimal perturbations approaching the edge of chaos in a Couette flow |
dc.identifier.doi | 10.1088/0169-5983/46/4/041403 |
dc.typdoc | Article dans une revue avec comité de lecture |
dc.localisation | Centre de Paris |
dc.subject.hal | Sciences de l'ingénieur: Mécanique: Mécanique des fluides |
ensam.audience | Internationale |
ensam.page | 041403 |
ensam.journal | Fluid Dynamics Research |
ensam.volume | 46 |
ensam.issue | 041403 |
hal.identifier | hal-01086726 |
hal.version | 1 |
hal.submission.permitted | updateMetadata |
hal.status | accept |
dc.identifier.eissn | 1873-7005 |