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Nonlinear forcing in the resolvent analysis of exact coherent states of the Navier-Stokes equations

Rosenberg, Kevin and McKeon, Beverley J. (2017) Nonlinear forcing in the resolvent analysis of exact coherent states of the Navier-Stokes equations. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20170731-084031416

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Abstract

The resolvent analysis of McKeon & Sharma (2010) recasts the Navier-Stokes equations into an input/output form in which the nonlinear term is treated as a forcing that acts upon the linear dynamics to yield a velocity response. The framework has shown promise with regards to producing low-dimensional representations of exact coherent states. Previous work has focused on a primitive variable output; here we show a velocity-vorticity formulation of the governing equations along with a Helmholtz decomposition of the nonlinear forcing term reveals a simplified input/output form in the resolvent analysis. This approach leads to an improved method for compact representations of exact coherent states for both forcing and response fields, with a significant reduction in degrees of freedom in comparison to the primitive variable approach.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/1705.10824arXivDiscussion Paper
ORCID:
AuthorORCID
McKeon, Beverley J. 0000-0003-4220-1583
Additional Information:The authors gratefully acknowledge AFOSR (grant FA 9550-16-1-0361) for the financial support of this work and M.D. Graham and J.S. Park for providing the ECS data.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA 9550-16-1-0361
Subject Keywords:resolvent, nonlinear forcing, exact coherent states
Record Number:CaltechAUTHORS:20170731-084031416
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170731-084031416
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79578
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:01 Aug 2017 20:10
Last Modified:28 Nov 2017 17:55

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