A new way to look at many time-dependent turbulent data sets at one glance?

Revolution will not be televised
(but it will be on video).

Within the last few years the dynamical (as opposed to statistical) theory of moderate Re turbulence in wall-bounded flows has made great strides. The experiments are amazing: Here is a high resolution 3D PVI snapshot of a turbulent pipe flow:

pCf equilibria

The theory triangulates the infinite-dimensional Navier-Stokes state space (not low-dimensional models) by sets of exact solutions (equilibria, traveling waves, periodic orbits, ...) which form a rigid backbone which enables us to describe, control and predict the sinuous motions of a turbulent fluid. The time evolution of such turbulent flow is more profitably visualized in the state space.

pCf p35p77
The state space visualization is novel, and might become a useful tool for you, a fluid dynamics experimentalist. Pick a few typical coherent structures observed in turbulent flow, and use these to construct a low-dimensional state-space projection from your high-dimensional data set. Evolution of a typical turbulent flow (green dense region above) is then visualized in terms of close passages to unstable coherent structures observed in the turbulent regions of the state space.

The tutorial develops the theory behind this state space representation in a sequence of gentle steps.