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

Gomez Carrasco, F, Blackburn, H, Rudman, M, Sharma, A and McKeon, B 2016, 'A reduced-order model of three-dimensional unsteady flow in a cavity based on the resolvent operator', Journal of Fluid Mechanics, vol. 798, R2, pp. 1-14.


Document type: Journal Article
Collection: Journal Articles

Title A reduced-order model of three-dimensional unsteady flow in a cavity based on the resolvent operator
Author(s) Gomez Carrasco, F
Blackburn, H
Rudman, M
Sharma, A
McKeon, B
Year 2016
Journal name Journal of Fluid Mechanics
Volume number 798
Article Number R2
Start page 1
End page 14
Total pages 14
Publisher Cambridge University Press
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.
Subject Computational Fluid Dynamics
Keyword(s) low-dimensional models
nonlinear dynamical systems
DOI - identifier 10.1017/jfm.2016.339
Copyright notice © 2016 Cambridge University Press
ISSN 0022-1120
Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 16 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 7 times in Scopus Article | Citations
Altmetric details:
Access Statistics: 97 Abstract Views  -  Detailed Statistics
Created: Wed, 07 Jun 2017, 08:28:00 EST by Catalyst Administrator
© 2014 RMIT Research Repository • Powered by Fez SoftwareContact us