A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- May 01, 2014
- Source ID
- 10.1063/1.4876195
Entities
People
- A. S. Sharma
- B. J. Mckeon
- J. A. Tropp
- Mihailo R. Jovanović
- R. Moarref
Organizations
- Air Force Office of Scientific Research
- California Institute of Technology
- University of Minnesota
- University of Southampton