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dc.contributor.authorCHERUBINI, Stefania
dc.contributor.authorBOTTARO, Alessandro
dc.contributor.author
 hal.structure.identifier
DE PALMA, Pietro
19097 Dipartimento di Ingegneria Meccanica e Gestionale [DIMEG]
dc.contributor.author
 hal.structure.identifier
ROBINET, Jean-Christophe
134975 Laboratoire de Dynamique des Fluides [DynFluid]
dc.date.accessioned2013
dc.date.available2013
dc.date.issued2010
dc.date.submitted2013
dc.identifier.citationJournal of Fluid Mechanics, Vol. 656, p. 231-259
dc.identifier.issn0022-1120
dc.identifier.urihttp://hdl.handle.net/10985/6717
dc.description.abstractThe three-dimensional global optimal dynamics of a flat-plate boundary layer is studied by means of an adjoint-based optimization in a spatial domain of long – but finite – streamwise dimension. The localized optimal initial perturbation is characterized by a pair of streamwise-modulated counter-rotating vortices, tilted upstream, yielding at the optimal time elongated streaks of alternating sign in the streamwise direction. This indicates that perturbations with non-zero streamwise wavenumber have a role in the transient dynamics of a boundary layer. A scaling law is provided, describing the variation of the streamwise modulation of the optimal initial perturbation with respect to the streamwise domain length and to the Reynolds number. For spanwise-extended domains, a near-optimal three-dimensional perturbation is extracted during the optimization process; it is localized also in the spanwise direction, resulting in a wave packet of elongated disturbances modulated in the spanwise and streamwise directions. The nonlinear evolution of the optimal and near-optimal perturbations is investigated by means of direct numerical simulations. Both perturbations are found to induce transition at lower levels of the initial energy than local optimal and suboptimal perturbations. Moreover, it is observed that transition occurs in a well-defined region of the convected wave packet, close to its centre, via a mechanism including at the same time oscillations of the streaks of both quasi-sinuous and quasi-varicose nature. Hairpin vortices are observed before transition; they have an active role in the breakdown of the streaks and result in a turbulent spot which spreads out in the boundary layer.
dc.language.isoen
dc.publisherCambridge University Press (CUP)
dc.rightsPost-print
dc.titleOptimal wave packets in a boundary layer and initial phases of a turbulent spot
dc.identifier.doi10.1017/S002211201000114X
dc.typdocArticle dans une revue avec comité de lecture
dc.localisationCentre de Paris
dc.subject.halSciences de l'ingénieur: Mécanique
ensam.audienceInternationale
ensam.page231-259
ensam.journalJournal of Fluid Mechanics
hal.identifierhal-00782182
hal.version1
hal.statusaccept
dc.identifier.eissn1469-7645


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