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Reconstruction of large-scale structures and acoustic radiation from a turbulent M = 0.9 jet using proper orthogonal decomposition

Colonius, T. and Freund, J. B. (2002) Reconstruction of large-scale structures and acoustic radiation from a turbulent M = 0.9 jet using proper orthogonal decomposition. In: Advances in Turbulence IX: Proceedings of the Ninth European Turbulence Conference. International Center for Numerical Methods in Engineering (CIMNE) , Barcelona, Spain, pp. 257-260. ISBN 9788495999078. https://resolver.caltech.edu/CaltechAUTHORS:20190709-092059614

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Abstract

The Proper Orthogonal Decomposition (POD) uses data to generate an optimal set of basis functions that represent the "energy" of the data, defined by a user-selected norm. This basis is optimal in the sense that a finite number of these modes represent more of the energy than any other set of orthogonal modes. The POD can be seen, on one hand, as a way to define energetic structures in a flow, essentially a generalization of the traditional Fourier-based spectrum to treat data that is inhomogeneous in one or more coordinate directions. But the POD modes are perhaps more useful in quantitatively modeling the dynamics of the flow, via Galerkin projection of the governing equations onto a relatively small number of modes in order to generate a reduced-order model.


Item Type:Book Section
ORCID:
AuthorORCID
Colonius, T.0000-0003-0326-3909
Additional Information:© 2002 International Center for Numerical Methods in Engineering (CIMNE). JBF gratefully acknowledges the support of NASA.
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NASAUNSPECIFIED
Record Number:CaltechAUTHORS:20190709-092059614
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190709-092059614
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:96958
Collection:CaltechAUTHORS
Deposited By: Melissa Ray
Deposited On:10 Jul 2019 20:59
Last Modified:03 Oct 2019 21:27

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