The biorthogonal eigenfunction system of linear stability equations: A survey of applications to receptivity problems and to analysis of experimental and computational results.

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

“…Most low-order decompositions are driven by experimental or simulation data and their empirical nature may obscure important flow dynamics. [2][3][4][5][6] In this paper, we show that a gain-based low-order decomposition that is obtained from the Navier-Stokes equations (NSE) can be used to approximate the turbulent velocity spectra. Recent developments by McKeon and co-workers [7][8][9][10] have highlighted the power of this decomposition in capturing several features of wall-turbulence and their Reynolds-number scalings.…”