A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization
Fluid Dynamics
2014-05-22 v2
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 , we determine the weights of resolvent modes as the solution of a convex optimization problem. Using only 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.
Keywords
Cite
@article{arxiv.1401.6417,
title = {A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization},
author = {R. Moarref and M. R. Jovanovic and J. A. Tropp and A. S. Sharma and B. J. McKeon},
journal= {arXiv preprint arXiv:1401.6417},
year = {2014}
}