What is striking about the periodic solutions is how visually similar they are
to the turbulent dynamics: they also capture episodes
of highly ordered motion along streamwise counter-rotating rolls,
interspersed by turbulent episodes.
This movie shows a time segment of typical sustained turbulence:
The initial condition is a random perturbation from laminar flow.
(2007-09-04, 15 MB)
Given only a segment of periodic orbit movie
we would have no way of guessing that the dynamics is exactly periodic in time.
Now that we have many exact solutions of Navier-Stokes equations: how do we visualize them,
fit them together?