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Eulerian diagnostics for Lagrangian chaos in three-dimensional Navier-Stokes flows

by: AN Yannacopoulos, I Mezić, G Rowlands, GP King
Physical Review E, Vol. 57, No. 1. (January 1998), 482.

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Based on symmetry considerations; Eulerian quantities are defined which can serve as diagnostics for the regions of the flow where Lagrangian chaos is possible in a three-dimensional Navier-Stokes flow. The applicability of the diagnostics is tested in two model flows which are perturbative solutions of the three-dimensional Navier-Stokes equation: the eccentric Taylor vortex and the (concentric) wavy Taylor vortex.


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