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

作者：Moarref R^*; Jovanovic M R; Tropp J A; Sharma A S; McKeon B J

来源：Physics of Fluids, 2014, 26(5): 051701.

DOI：10.1063/1.4876195

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.

• 出版日期2014-5