Journal
JOURNAL OF FLUID MECHANICS
Volume 798, Issue -, Pages -Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2016.339
Keywords
low-dimensional models; nonlinear dynamics systems
Categories
Funding
- Australian Research Council [DP130103103]
- Australia's National Computational Infrastructure via Merit Allocation Scheme grant [D77]
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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 arc 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.
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