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Reduced-order models for flow control: balanced models and Koopman modes
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0002-8209-1449
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0001-9627-5903
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2010 (English)In: Seventh IUTAM Symposium on Laminar-Turbulent Transition / [ed] P. Schlatter and D. S. Henningson, 2010, 43-50 p.Conference paper (Refereed)
Abstract [en]

This paper addresses recent developments in model-reduction techniques applicable to fluid flows The main goal is to obtain low-order models tractable enough to be used for analysis and design of feedback laws for flow control, while retaining the essential physics. We first give a brief overview of several model reduction techniques. including Proper Orthogonal Decomposition [3], balanced truncation [8, 9], and the related Eigensystem Realization Algorithm [5, 6], and discuss strengths and weaknesses of each approach We then describe a new method for analyzing nonlinear flows based on spectral analysis of the Koopman operator a linear operator defined for any nonlinear dynamical system We show that, for an example of a Jet in crossflow, the resulting Koopman modes decouple the dynamics at different timescales more effectively than POD modes, and capture the relevant frequencies more accurately than lineal stability analysis

Place, publisher, year, edition, pages
2010. 43-50 p.
, IUTAM Bookseries, 18
National Category
Fluid Mechanics and Acoustics
URN: urn:nbn:se:kth:diva-86855DOI: 10.1007/978-90-481-3723-7_6ISI: 000277097200006ScopusID: 2-s2.0-84862302607OAI: diva2:501090
7th IUTAM Symposium on Laminar-Turbulent Transition. Royal Inst Technol, Stockholm, SWEDEN. JUN 23-26, 2009
QC 20120215Available from: 2012-02-13 Created: 2012-02-13 Last updated: 2012-02-15Bibliographically approved

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