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Published May 2014 | Published + Submitted
Journal Article Open

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 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.

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.

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Published - 1.4876195.pdf

Submitted - 1401.6417v1.pdf


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August 20, 2023
August 20, 2023