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Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence

Sharma, Ati S. and Moarref, Rashad and McKeon, Beverley J. and Park, Jae Sung and Graham, Michael D. and Willis, Ashley P. (2016) Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence. Physical Review E, 93 (2). Art. No. 021102. ISSN 2470-0045. http://resolver.caltech.edu/CaltechAUTHORS:20160315-160338397

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Abstract

We report that many exact invariant solutions of the Navier-Stokes equations for both pipe and channel flows are well represented by just a few modes of the model of McKeon and Sharma [J. Fluid Mech. 658, 336 (2010)]. This model provides modes that act as a basis to decompose the velocity field, ordered by their amplitude of response to forcing arising from the interaction between scales. The model was originally derived from the Navier-Stokes equations to represent turbulent flows and has been used to explain coherent structure and to predict turbulent statistics. This establishes a surprising new link between the two distinct approaches to understanding turbulence.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevE.93.021102DOIArticle
http://journals.aps.org/pre/abstract/10.1103/PhysRevE.93.021102PublisherArticle
http://journals.aps.org/pre/supplemental/10.1103/PhysRevE.93.021102PublisherSupplemental Material
http://arxiv.org/abs/1503.01701arXivDiscussion Paper
ORCID:
AuthorORCID
Sharma, Ati S.0000-0002-7170-1627
McKeon, Beverley J. 0000-0003-4220-1583
Additional Information:© 2016 American Physical Society. Received 6 March 2015; revised manuscript received 28 January 2016; published 19 February 2016. This work has been supported by the Air Force Office of Scientific Research (Flow Interactions and Control Program) under awards FA9550-11-1-0094, FA9550-15-1-0062 (J.S.P. and M.D.G.), and FA9550-12-1-0469 (R.M. and B.J.M.) and by the Air Force Office of Scientific Research (European Office of Aerospace Research and Development) under award FA9550-14-1-0042 (A.S.S.).
Group:GALCIT
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-11-1-0094
Air Force Office of Scientific Research (AFOSR)FA9550-15-1-0062
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0469
Air Force Office of Scientific Research (AFOSR)FA9550-14-1-0042
Record Number:CaltechAUTHORS:20160315-160338397
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160315-160338397
Official Citation:Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence Ati S. Sharma, Rashad Moarref, Beverley J. McKeon, Jae Sung Park, Michael D. Graham, and Ashley P. Willis Phys. Rev. E 93, 021102(R) http://dx.doi.org/10.1103/PhysRevE.93.021102
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:65376
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Mar 2016 23:11
Last Modified:09 Oct 2017 22:56

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