On least-order flow representations for aerodynamics and aeroacoustics

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dc.contributor.authorSchlegel, Michael
dc.contributor.authorNoack, Bernd R.
dc.contributor.authorJordan, Peter
dc.contributor.authorDillmann, Andreas
dc.contributor.authorGröschel, Elmar
dc.contributor.authorSchröder, Wolfgang
dc.contributor.authorWei, Mingjun
dc.contributor.authorFreund, Jonathan B.
dc.contributor.authorLehmann, Oliver
dc.contributor.authorTadmor, Gilead
dc.date.accessioned2017-10-27T12:54:43Z
dc.date.available2017-10-27T12:54:43Z
dc.date.issued2012
dc.descriptionDieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.de
dc.descriptionThis publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.en
dc.description.abstractWe propose a generalization of proper orthogonal decomposition (POD) for optimal flow resolution of linearly related observables. This Galerkin expansion, termed ‘observable inferred decomposition’ (OID), addresses a need in aerodynamic and aeroacoustic applications by identifying the modes contributing most to these observables. Thus, OID constitutes a building block for physical understanding, least-biased conditional sampling, state estimation and control design. From a continuum of OID versions, two variants are tailored for purposes of observer and control design, respectively. Firstly, the most probable flow state consistent with the observable is constructed by a ‘least-residual’ variant. This version constitutes a simple, easily generalizable reconstruction of the most probable hydrodynamic state to preprocess efficient observer design. Secondly, the ‘least-energetic’ variant identifies modes with the largest gain for the observable. This version is a building block for Lyapunov control design. The efficient dimension reduction of OID as compared to POD is demonstrated for several shear flows. In particular, three aerodynamic and aeroacoustic goal functionals are studied: (i) lift and drag fluctuation of a two-dimensional cylinder wake flow; (ii) aeroacoustic density fluctuations measured by a sensor array and emitted from a two-dimensional compressible mixing layer; and (iii) aeroacoustic pressure monitored by a sensor array and emitted from a three-dimensional compressible jet. The most ‘drag-related’, ‘lift-related’ and ‘loud’ structures are distilled and interpreted in terms of known physical processes.en
dc.identifier.eissn1469-7645
dc.identifier.issn0022-1120
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/7063
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-6372
dc.language.isoen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subject.ddc530 Physik
dc.subject.otheraeroacousticsen
dc.subject.otherlow-dimensional modelsen
dc.subject.otherwakes/jetsen
dc.titleOn least-order flow representations for aerodynamics and aeroacousticsen
dc.typeArticle
dc.type.versionpublishedVersion
dcterms.bibliographicCitation.doi10.1017/jfm.2012.70
dcterms.bibliographicCitation.journaltitleJournal of fluid mechanics
dcterms.bibliographicCitation.originalpublishernameCambridge University Press
dcterms.bibliographicCitation.originalpublisherplaceCambridge
dcterms.bibliographicCitation.pageend398
dcterms.bibliographicCitation.pagestart367
dcterms.bibliographicCitation.volume697
tub.accessrights.dnbdomain
tub.affiliationFak. 5 Verkehrs- und Maschinensysteme::Inst. Strömungsmechanik und Technische Akustik (ISTA)de
tub.affiliation.facultyFak. 5 Verkehrs- und Maschinensystemede
tub.affiliation.instituteInst. Strömungsmechanik und Technische Akustik (ISTA)de
tub.publisher.universityorinstitutionTechnische Universität Berlin

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