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, B. J. McKeon

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

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.

Original languageEnglish (US)
Article number051701
JournalPhysics of Fluids
Volume26
Issue number5
DOIs
StatePublished - May 13 2014

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