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A basis for flow modelling

McKeon, B. J. (2020) A basis for flow modelling. Journal of Fluid Mechanics, 904 . Art. No. F1. ISSN 0022-1120.

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Reduced-order models are often sought to efficiently represent key dynamical phenomena present among the broad range of temporal and spatial scales associated with unsteady and turbulent flow problems. Linear ‘input–output’ approaches and resolvent analyses reveal that important information about the most dangerous (most amplified) disturbances and the corresponding fluctuation response can be found with knowledge only of the base flow, or the turbulent mean field. In the work by Padovan et al. (J. Fluid Mech., vol. 900, 2020, A14), an important advance is made with regards to flows which have a periodically time-varying base flow, for example during unsteady vortex shedding from a body. By forming a harmonic resolvent relative to this base flow, limitations associated with the traditional linear resolvent are overcome to determine efficient bases for modelling of limit cycle flows and reveal novel information about key triadic (resonant) interactions.

Item Type:Article
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McKeon, B. J.0000-0003-4220-1583
Additional Information:© The Author(s), 2020. Published by Cambridge University Press. The author reports no conflict of interest.
Subject Keywords:mathematical foundations, control theory
Record Number:CaltechAUTHORS:20201022-112713087
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Official Citation:McKeon, B. (2020). A basis for flow modelling. Journal of Fluid Mechanics, 904, F1. doi:10.1017/jfm.2020.728
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106227
Deposited By: George Porter
Deposited On:22 Oct 2020 20:32
Last Modified:22 Oct 2020 20:32

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