arXiv Analytics

Sign in

arXiv:1401.6417 [physics.flu-dyn]AbstractReferencesReviewsResources

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

R. Moarref, M. R. Jovanovic, J. A. Tropp, A. S. Sharma, B. J. McKeon

Published 2014-01-24, updated 2014-05-21Version 2

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.

Related articles: Most relevant | Search more
arXiv:1812.07178 [physics.flu-dyn] (Published 2018-12-18)
Resolvent Analysis for Turbulent Channel Flow with Riblets
arXiv:2205.11216 [physics.flu-dyn] (Published 2022-05-23)
On the use of eddy viscosity in resolvent analysis of turbulent channel flow
arXiv:1712.05473 [physics.flu-dyn] (Published 2017-12-14)
On non-normality and classification of amplification mechanisms in stability and resolvent analysis