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Efficient representation of exact coherent states of the Navier–Stokes equations using resolvent analysis

Rosenberg, Kevin and McKeon, Beverley J. (2019) Efficient representation of exact coherent states of the Navier–Stokes equations using resolvent analysis. Fluid Dynamics Research, 51 (1). Art. No. 011401. ISSN 1873-7005. http://resolver.caltech.edu/CaltechAUTHORS:20190122-161813137

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Abstract

A resolvent analysis of exact coherent states (ECS) of the Navier–Stokes equations (NSE) in a low Reynolds number channel is performed. The resolvent framework recasts the NSE into an input/output form in which the nonlinear term is treated as an internal forcing that drives the linear dynamics of the system. The framework has previously shown promise with regards to producing low-dimensional representations of ECS; here, we show that a componentwise analysis of the resolvent operator along with a Helmholtz decomposition of the nonlinear term reveals a simplified input/output form that clearly identifies and isolates the contributions of particular solenoidal forcing components to velocity/vorticity outputs. This new approach leads to an improved method for compact representations of ECS for both forcing and response fields, and establishes interesting connections to Orr–Sommerfeld/Squire modes in a nonlinear context.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1088/1873-7005/aab1abDOIArticle
ORCID:
AuthorORCID
Rosenberg, Kevin0000-0001-6101-3823
McKeon, Beverley J.0000-0003-4220-1583
Additional Information:© 2019 The Japan Society of Fluid Mechanics and IOP Publishing Ltd. Received 30 October 2017; Accepted 22 February 2018; Accepted Manuscript online 22 February 2018; Published 17 January 2019.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA 9550-16-1-0361
Record Number:CaltechAUTHORS:20190122-161813137
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190122-161813137
Official Citation:Kevin Rosenberg and Beverley J McKeon 2019 Fluid Dyn. Res. 51 011401
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92405
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:23 Jan 2019 00:23
Last Modified:23 Jan 2019 00:23

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