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Closing the loop: an explicit calculation of the nonlinearity in the resolvent formulation of wall turbulence

Sharma, A. S. and McKeon, B. J. (2013) Closing the loop: an explicit calculation of the nonlinearity in the resolvent formulation of wall turbulence. In: 43rd Fluid Dynamics Conference, June 24-27, 2013, San Diego, CA. http://resolver.caltech.edu/CaltechAUTHORS:20150211-102550604

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Abstract

The resolvent-based analysis of wall turbulence (McKeon & Sharma 2010) is extended with an explicit treatment of the non-linearity in the Navier-Stokes equations. The equivalent of triadic interaction in the wall-normal direction is described, and it is found that the resulting forcing has a phase shift of π/2 in terms associated with symmetric spatial directions. Explicit forms for the nonlinearity in fully-developed pipe and channel flows, i.e. in cylindrical and Cartesian coordinate systems.


Item Type:Conference or Workshop Item (Paper)
Related URLs:
URLURL TypeDescription
http://arc.aiaa.org/doi/abs/10.2514/6.2013-3118Publisherarticle
http://dx.doi.org/10.2514/6.2013-3118DOIArticle
ORCID:
AuthorORCID
Sharma, A. S.0000-0002-7170-1627
McKeon, B. J.0000-0003-4220-1583
Additional Information:© 2013 AIAA. BJM gratefully acknowledges the support of NSF CAREER award grant number 0747672 (program managers William Schultz and H. Henning Winter) and the Air Force Office of Scientific Research (program manager John Schmisseur), grant number FA9550-09-1-0701.
Group:GALCIT
Funders:
Funding AgencyGrant Number
NSFCBET-0747672
Air Force Office of Scientific Research (AFOSR)FA9550-09-1-0701
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AIAA Paper2013-3118
Record Number:CaltechAUTHORS:20150211-102550604
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20150211-102550604
Official Citation:Closing the loop: an explicit calculation of the nonlinearity in the resolvent formulation of wall turbulence (AIAA 2013-3118) Ati S. Sharma, Beverley J. McKeon
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54713
Collection:CaltechAUTHORS
Deposited By: Jamie Sei
Deposited On:11 Feb 2015 22:40
Last Modified:27 Apr 2018 17:43

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