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Temporal-Harmonic Specific POD Mode Extraction

Tadmor, Gilead and Bissex, Daniel and Noack, Bernd R. and Morzyński, Marek and Colonius, Tim and Taira, Kunihiko (2008) Temporal-Harmonic Specific POD Mode Extraction. In: 4th Flow Control Conference, 23-26 June 2008, Seattle, WA.

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While POD / PCA / KL approximations are statistically energetically optimal, statistical optimality is indeed the sole consideration these (equivalent) methods invoke. This type of approximation is neither geared for, nor is it optimized to extract modes based on their significance to an underlying system dynamics. Furthermore, as computational considerations limit the size of empirical ensembles used for mode extraction, the resulting mode set is significantly effected by the arbitrariness of the ensemble selection. System theoretic model reductions methods aim to home on dynamically significant modes by direct interrogation of the underlying equation, such as the linearized Navier-Stokes equations. An alternative / complimentary approach is to impose a priori knowledge of structural properties, such as symmetry and periodicity, on the mode-extraction procedure. The idea is that these conditions will force the selection of physically meaningful modes, and thus enables an effective appeal to first principles. Here we focus on systems known to be periodically dominant, and describe a simple method to extract modes associated with temporal harmonics. The method accommodates time variations in the dominant frequency(ies) and exploits a preliminary data compression, such as by the standard POD procedure.

Item Type:Conference or Workshop Item (Paper)
Related URLs:
URLURL TypeDescription Paper Paper
Colonius, Tim0000-0003-0326-3909
Taira, Kunihiko0000-0002-3762-8075
Additional Information:© 2008 by Gilead Tadmor. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. Published Online: 15 Jun 2012.
Subject Keywords:Flow Control
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Other Numbering System NameOther Numbering System ID
AIAA Paper4190
Record Number:CaltechAUTHORS:20190717-102320488
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97216
Deposited By: Melissa Ray
Deposited On:18 Jul 2019 21:30
Last Modified:16 Nov 2021 17:29

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