A new way to look at many time-dependent turbulent data sets at one glance?Revolution will not be televised | |
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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. |
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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. |