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A reduced-order model of three-dimensional unsteady flow in a cavity based on the resolvent operator

Gómez, F. and Blackburn, H. M. and Rudman, M. and Sharma, A. S. and McKeon, B. J. (2016) A reduced-order model of three-dimensional unsteady flow in a cavity based on the resolvent operator. Journal of Fluid Mechanics, 798 . ISSN 0022-1120. https://resolver.caltech.edu/CaltechAUTHORS:20160630-111131742

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Abstract

A novel reduced-order model for time-varying nonlinear flows arising from a resolvent decomposition based on the time-mean flow is proposed. The inputs required for the model are the mean-flow field and a small set of velocity time-series data obtained at isolated measurement points, which are used to fix relevant frequencies, amplitudes and phases of a limited number of resolvent modes that, together with the mean flow, constitute the reduced-order model. The technique is applied to derive a model for the unsteady three-dimensional flow in a lid-driven cavity at a Reynolds number of 1200 that is based on the two-dimensional mean flow, three resolvent modes selected at the most active spanwise wavenumber, and either one or two velocity probe signals. The least-squares full-field error of the reconstructed velocity obtained using the model and two point velocity probes is of the order of 5 % of the lid velocity, and the dynamical behaviour of the reconstructed flow is qualitatively similar to that of the complete flow.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1017/jfm.2016.339DOIArticle
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10357718PublisherArticle
ORCID:
AuthorORCID
Sharma, A. S.0000-0002-7170-1627
McKeon, B. J.0000-0003-4220-1583
Additional Information:© 2016 Cambridge University Press. Received 26 November 2015; revised 29 April 2016; accepted 12 May 2016; first published online 8 June 2016. The authors acknowledge financial support from the Australian Research Council through grant DP130103103, and from Australia’s National Computational Infrastructure via Merit Allocation Scheme grant D77.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Australian Research CouncilDP130103103
Australia National Computational InfrastructureD77
Subject Keywords:low-dimensional models, nonlinear dynamical systems
Record Number:CaltechAUTHORS:20160630-111131742
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160630-111131742
Official Citation:F. Gómez, H. M. Blackburn, M. Rudman, A. S. Sharma and B. J. McKeon (2016). A reduced-order model of three-dimensional unsteady flow in a cavity based on the resolvent operator. Journal of Fluid Mechanics, 798, R2 doi:10.1017/jfm.2016.339
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:68786
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 Jul 2016 21:59
Last Modified:03 Oct 2019 10:16

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