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

A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization
A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization
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 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.
1070-6631
1-7
Moarref, R.
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Jovanovic, M.R.
c5463113-d8a5-4c9d-b024-38c8d93d9e09
Tropp, J.A.
1ac64eb2-cb87-4b6a-9ae3-fd487c5b0d81
McKeon, B.J.
2e685015-292a-42a7-8c9e-7cc27cf2da67
Sharma, None
cdd9deae-6f3a-40d9-864c-76baf85d8718
Moarref, R.
5f671bcc-1836-4642-a2f9-c9f122e8477c
Jovanovic, M.R.
c5463113-d8a5-4c9d-b024-38c8d93d9e09
Tropp, J.A.
1ac64eb2-cb87-4b6a-9ae3-fd487c5b0d81
McKeon, B.J.
2e685015-292a-42a7-8c9e-7cc27cf2da67
Sharma, None
cdd9deae-6f3a-40d9-864c-76baf85d8718

Moarref, R., Jovanovic, M.R., Tropp, J.A., McKeon, B.J. and Sharma, None (2014) A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization. Physics of Fluids, 26 (51701), 1-7. (doi:10.1063/1.4876195).

Record type: Article

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 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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Published date: 8 May 2014
Organisations: Aerodynamics & Flight Mechanics Group

Identifiers

Local EPrints ID: 364749
URI: http://eprints.soton.ac.uk/id/eprint/364749
ISSN: 1070-6631
PURE UUID: f340f368-dc06-4d6c-ba85-7cf77807707b
ORCID for None Sharma: ORCID iD orcid.org/0000-0002-7170-1627

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Date deposited: 12 May 2014 11:06
Last modified: 15 Mar 2024 03:46

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Contributors

Author: R. Moarref
Author: M.R. Jovanovic
Author: J.A. Tropp
Author: B.J. McKeon
Author: None Sharma ORCID iD

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