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On the choice of norm for modeling compressible flow dynamics at reduced-order using the POD

Colonius, Tim and Rowley, Clancy W. and Freund, Jonathan B. and Murray, Richard M. (2002) On the choice of norm for modeling compressible flow dynamics at reduced-order using the POD. In: Proceedings of the 41st IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 3273-3278. ISBN 0-7803-7516-5. https://resolver.caltech.edu/CaltechAUTHORS:20190214-123721078

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Abstract

We use POD (proper orthogonal decomposition)/Galerkin projection to investigate and derive reduced-order models of the dynamics of compressible flows. We examine DNS data for two flows, a turbulent M=0.9 jet and self-sustained oscillations in the flow over an open cavity, and show how different choices of norm lead to different definitions of the energetic structures, and, for the cavity, to different reduced-order models of the dynamics. For the jet, we show that the near-field dynamics are fairly well represented by relatively few modes, but that key processes of interest, such as acoustic radiation, are not well captured by norms that are defined based on volume integrals of pressure and velocity. For the cavity flow, we demonstrate that vector-valued POD modes lead to reduced-order models that are much more effective (accurate and stable) than scalar-valued modes defined independently for different flow variables.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/CDC.2002.1184376DOIArticle
ORCID:
AuthorORCID
Colonius, Tim0000-0003-0326-3909
Rowley, Clancy W.0000-0002-9099-5739
Murray, Richard M.0000-0002-5785-7481
Additional Information:© 2012 IEEE. Supported in part by AFOSR F49620-98-1-0095 (TC) and NASA (JBF).
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)F49620-98-1-0095
NASAUNSPECIFIED
DOI:10.1109/CDC.2002.1184376
Record Number:CaltechAUTHORS:20190214-123721078
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190214-123721078
Official Citation:T. Colonius, C. W. Rowley, J. B. Freund and R. M. Murray, "On the choice of norm for modeling compressible flow dynamics at reduced-order using the POD," Proceedings of the 41st IEEE Conference on Decision and Control, 2002., Las Vegas, NV, USA, 2002, pp. 3273-3278 vol.3. doi: 10.1109/CDC.2002.1184376
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92939
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Feb 2019 05:50
Last Modified:16 Nov 2021 16:54

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