Reduced-order models for flow control: Balanced models and Koopman modes
Rowley CW, Mezic I, Bagheri S, Schlatter P, Henningson DS (2010)
Publication Type: Conference contribution
Publication year: 2010
Publisher: Springer Verlag
Book Volume: 18
Pages Range: 43-50
Conference Proceedings Title: IUTAM Bookseries
Event location: SWE
ISBN: 9789048137220
DOI: 10.1007/978-90-481-3723-7_6
Abstract
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 linear stability analysis. © 2010 Springer Science+Business Media B.V.
Authors with CRIS profile
Involved external institutions
Princeton University
United States (USA) (US)
University of California
United States (USA) (US)
Royal Institute of Technology / Kungliga Tekniska Högskolan (KTH)
Sweden (SE)
United States (USA) (US)
University of California
United States (USA) (US)
Royal Institute of Technology / Kungliga Tekniska Högskolan (KTH)
Sweden (SE)
How to cite
APA:
Rowley, C.W., Mezic, I., Bagheri, S., Schlatter, P., & Henningson, D.S. (2010). Reduced-order models for flow control: Balanced models and Koopman modes. In IUTAM Bookseries (pp. 43-50). SWE: Springer Verlag.
MLA:
Rowley, Clarence W., et al. "Reduced-order models for flow control: Balanced models and Koopman modes." Proceedings of the 7th IUTAM Symposium on Laminar-Turbulent Transition, SWE Springer Verlag, 2010. 43-50.
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