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Guide to Spectral Proper Orthogonal Decomposition

Schmidt, Oliver T. and Colonius, Tim (2020) Guide to Spectral Proper Orthogonal Decomposition. AIAA Journal, 58 (3). pp. 1023-1033. ISSN 0001-1452. doi:10.2514/1.j058809.

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This paper discusses the spectral proper orthogonal decomposition and its use in identifying modes, or structures, in flow data. A specific algorithm based on estimating the cross-spectral density tensor with Welch’s method is presented, and guidance is provided on selecting data sampling parameters and understanding tradeoffs among them in terms of bias, variability, aliasing, and leakage. Practical implementation issues, including dealing with large datasets, are discussed and illustrated with examples involving experimental and computational turbulent flow data.

Item Type:Article
Related URLs:
URLURL TypeDescription
Schmidt, Oliver T.0000-0002-7097-0235
Colonius, Tim0000-0003-0326-3909
Additional Information:© 2019 by Oliver T. Schmidt and Tim Colonius. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. Received 18 July 2019; revision received 10 December 2019; accepted for publication 16 December 2019; published online Open Access 27 January 2020. TC gratefully acknowledges support from Office of Naval Research grant N00014-16-1-2445. We would like to thank Aaron Towne for his important contributions to our present understanding of spectral proper orthogonal decomposition, and Guillaume Brès for generating the turbulent jet databases and for his patience in helping us use them. TC would also like to thank Jon Freund, Takao Suzuki, Peter Jordan, Joel Delville, Andre Cavalieri, Charles Tinney, and William George for helpful and/or entertaining discussions about proper orthogonal decomposition over the years.
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-16-1-2445
Issue or Number:3
Record Number:CaltechAUTHORS:20200306-133727805
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Official Citation:Guide to Spectral Proper Orthogonal Decomposition Oliver T. Schmidt and Tim Colonius AIAA Journal 2020 58:3, 1023-1033
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101745
Deposited By: George Porter
Deposited On:06 Mar 2020 21:51
Last Modified:16 Nov 2021 18:05

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