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A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization

Moarref, R. and Jovanović, M. R. and Tropp, J. A. and Sharma, A. S. and McKeon, B. J. (2014) A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization. Physics of Fluids, 26 (5). Art. No. 051701. ISSN 1070-6631. https://resolver.caltech.edu/CaltechAUTHORS:20140519-153243814

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Abstract

We combine resolvent-mode decomposition with techniques from convex optimization to optimally approximate velocity spectra in a turbulent channel. The velocity is expressed as a weighted sum of resolvent modes that are dynamically significant, non-empirical, and scalable with Reynolds number. To optimally represent direct numerical simulations (DNS) data at friction Reynolds number 2003, we determine the weights of resolvent modes as the solution of a convex optimization problem. Using only 12 modes per wall-parallel wavenumber pair and temporal frequency, we obtain close agreement with DNS-spectra, reducing the wall-normal and temporal resolutions used in the simulation by three orders of magnitude.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1401.6417arXivDiscussion Paper
http://scitation.aip.org/content/aip/journal/pof2/26/5/10.1063/1.4876195PublisherArticle
http://dx.doi.org/10.1063/1.4876195DOIArticle
ORCID:
AuthorORCID
Tropp, J. A.0000-0003-1024-1791
Sharma, A. S.0000-0002-7170-1627
McKeon, B. J.0000-0003-4220-1583
Additional Information:© 2014 American Institute of Physics Publishing LLC. Received 23 January 2014; accepted 30 April 2014; published online 13 May 2014. The support of Air Force Office of Scientific Research under Grant Nos. FA 9550-09-1-0701 (P. M. Rengasamy Ponnappan) and FA 9550-12-1-0469 (P. M. Doug Smith) is gratefully acknowledged.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA 9550-09-1-0701
Air Force Office of Scientific Research (AFOSR)FA 9550-12-1-0469
Issue or Number:5
Record Number:CaltechAUTHORS:20140519-153243814
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140519-153243814
Official Citation: A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization R. Moarref, M. R. Jovanović, J. A. Tropp, A. S. Sharma and B. J. McKeon Phys. Fluids 26, 051701 (2014); http://dx.doi.org/10.1063/1.4876195
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:45829
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:19 May 2014 22:57
Last Modified:03 Oct 2019 06:36

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