Exact coherent structures for the turbulent cascade

Abstract eng:
The exact coherent structures that are connected with the transition to turbulence usually extend across the full height of the shear layer. Using scaling ideas for the Navier-Stokes equation that combine length and Reynolds number, we show how such large scale structures can be morphed into coherent structures at the Kolmogorov scale at high Reynolds numbers. We present the structure and dynamical properties of several families of exact coherent solution with different degrees of spatial localization.

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