The Okubo-Weiss Criteria in Two-Dimensional Hydrodynamic and Magnetohydrodynamic Flows

Details The Okubo-Weiss Criteria in Two-Dimensional Hydrodynamic and Magnetohydrodynamic Flows The Okubo-Weiss Criteria in Two-Dimensional Hydrodynamic and Magnetohydrodynamic Flows

2011-10-27

arxiv.org/abs/1110.6190v2

Physics

Fluid Dynamics

Scientific paper

The "slow-variation" restriction on the straining flow velocity gradient field used in the Okubo-Weiss criterion is quantified via the Beltrami condition with the divorticity framework in 2D hydrodynamic flows. This turns out to provide interesting interpretations of the Okubo-Weiss criterion in terms of the topological properties of the underlying vorticity manifold. These developments are then extended to 2D quasi-geostrophic flows (via the potential divorticity framework) and magnetohydrodynamic flows and the Okubo-Weiss criteria for these cases are considered.

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