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Article overview
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Objective Eulerian Coherent Structures | M. Serra
; G. Haller
; | Date: |
7 Dec 2015 | Abstract: | We define objective Eulerian Coherent Structures (OECSs) in two-dimensional,
non-autonomous dynamical systems as instantaneously most influential material
curves. Specifically, OECSs are stationary curves of the averaged instantaneous
material stretching-rate or material shearing-rate functionals. From these
objective (frame-invariant) variational principles, we obtain explicit
differential equations for hyperbolic, elliptic and parabolic OECSs. As
illustration, we compute OECSs in an unsteady ocean velocity data set. In
comparison to structures suggested by other common Eulerian diagnostic tools,
we find OECSs to be the correct short-term cores of observed trajectory
deformation patterns. | Source: | arXiv, 1512.2112 | Services: | Forum | Review | PDF | Favorites |
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