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.
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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 | ||||||||||||
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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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