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On the origin of frequency sparsity in direct numerical simulations of turbulent pipe flow

Gómez, F. and Blackburn, H. M. and Rudman, M. and McKeon, B. J. and Luhar, M. and Moarref, R. and Sharma, A. S. (2014) On the origin of frequency sparsity in direct numerical simulations of turbulent pipe flow. Physics of Fluids, 26 (10). Art. No. 101703. ISSN 1070-6631. https://resolver.caltech.edu/CaltechAUTHORS:20141211-082426965

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Abstract

The possibility of creating reduced-order models for canonical wall-bounded turbulent flows based on exploiting energy sparsity in frequency domain, as proposed by Bourguignon et al. [Phys. Fluids26, 015109 (2014)], is examined. The present letter explains the origins of energetically sparse dominant frequencies and provides fundamental information for the design of such reduced-order models. The resolvent decomposition of a pipe flow is employed to consider the influence of finite domain length on the flow dynamics, which acts as a restriction on the possible wavespeeds in the flow. A forcing-to-fluctuation gain analysis in the frequency domain reveals that large sparse peaks in amplification occur when one of the possible wavespeeds matches the local wavespeed via the critical layer mechanism. A link between amplification and energy is provided through the similar characteristics exhibited by the most energetically relevant flow structures, arising from a dynamic mode decomposition of direct numerical simulation data, and the resolvent modes associated with the most amplified sparse frequencies. These results support the feasibility of reduced-order models based on the selection of the most amplified modes emerging from the resolvent model, leading to a novel computationally efficient method of representing turbulent flows.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.4900768 DOIArticle
http://scitation.aip.org/content/aip/journal/pof2/26/10/10.1063/1.4900768PublisherArticle
ORCID:
AuthorORCID
McKeon, B. J.0000-0003-4220-1583
Sharma, A. S.0000-0002-7170-1627
Additional Information:© 2014 AIP Publishing LLC. Received 10 July 2014; accepted 20 October 2014; published online 31 October. The authors acknowledge financial support from the Australian Research Council through the ARC Discovery Project No. DP130103103, and from Australia’s National Computational Infrastructure via Merit Allocation Scheme Grant No. D77. B.J.M., R.M., and M.L. are grateful for the support of the U.S. Air Force Office of Scientific Research under Grant No. FA9550-09-1-0701 (Program Manager R. Ponnappan). D.M. Smith is gratefully acknowledged for provision of his DMD code.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Australian Research CouncilDP130103103
Australia National Computational InfrastructureD77
Air Force Office of Scientific Research (AFOSR)FA9550-09-1-0701
Issue or Number:10
Record Number:CaltechAUTHORS:20141211-082426965
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20141211-082426965
Official Citation:On the origin of frequency sparsity in direct numerical simulations of turbulent pipe flow Gómez, F. and Blackburn, H. M. and Rudman, M. and McKeon, B. J. and Luhar, M. and Moarref, R. and Sharma, A. S., Physics of Fluids (1994-present), 26, 101703 (2014), DOI:http://dx.doi.org/10.1063/1.4900768
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:52573
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:11 Dec 2014 21:17
Last Modified:03 Oct 2019 07:43

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