Dynamical characterization of large scale structures in channel flow turbulence
Seminar Room 1, Newton Institute
We obtained unstable periodic solutions up to at Re=6000 and travelling wave solution up to at Re=12,000 of streamwise-minimal channel flow by he shooting method. These solutions are on the basin boundary of the turbulent attractor and have characteristics of large scale motions observed in ully-developed channel flow turbulence. We show that these unstable solutions well describe the temporal evolution of the large scale motion embeded in turbulence that is defined by the local minima of streamwise velocity averaged over the streamwise direction.