Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-6372
Main Title: On least-order flow representations for aerodynamics and aeroacoustics
Author(s): Schlegel, Michael
Noack, Bernd R.
Jordan, Peter
Dillmann, Andreas
Gröschel, Elmar
Schröder, Wolfgang
Wei, Mingjun
Freund, Jonathan B.
Lehmann, Oliver
Tadmor, Gilead
Type: Article
Language Code: en
Abstract: We 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.
URI: https://depositonce.tu-berlin.de//handle/11303/7063
http://dx.doi.org/10.14279/depositonce-6372
Issue Date: 2012
Date Available: 27-Oct-2017
DDC Class: 530 Physik
Subject(s): aeroacoustics
low-dimensional models
wakes/jets
Usage rights: Terms of German Copyright Law
Journal Title: Journal of fluid mechanics
Publisher: Cambridge University Press
Publisher Place: Cambridge
Volume: 697
Publisher DOI: 10.1017/jfm.2012.70
Page Start: 367
Page End: 398
EISSN: 1469-7645
ISSN: 0022-1120
Notes: Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
This 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.
Appears in Collections:Institut für Strömungsmechanik und Technische Akustik (ISTA) » Publications

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