Detection of Coherent Oceanic Structures via Transfer Operators

Gary Froyland, Kathrin Padberg, Matthew H. England, and Anne Marie Treguier
Phys. Rev. Lett. 98, 224503 – Published 30 May 2007

Abstract

Coherent nondispersive structures are known to play a crucial role in explaining transport in nonautonomous dynamical systems such as ocean flows. These structures are difficult to extract from model output as they are Lagrangian by nature and not revealed by the underlying Eulerian velocity fields. In the last few years heuristic concepts such as finite-time Lyapunov exponents have been used in an attempt to detect barriers to oceanic transport and thus identify regions that trap material such as nutrients and phytoplankton. In this Letter we pursue a novel, more direct approach to uncover coherent regions in the surface ocean using high-resolution model velocity data. Our method is based upon numerically constructing a transfer operator that controls the surface transport of particles over a short period. We apply our technique to the polar latitudes of the Southern Ocean.

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  • Received 20 October 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.224503

©2007 American Physical Society

Authors & Affiliations

Gary Froyland1, Kathrin Padberg2, Matthew H. England1, and Anne Marie Treguier3

  • 1School of Mathematics and Statistics, The University of New South Wales, Sydney NSW 2052, Australia
  • 2Fakultät für Elektrotechnik, Informatik und Mathematik, Universität Paderborn, 33095 Paderborn, Germany
  • 3CNRS, IFREMER, LPO B.P.70, 29280 Plouzane, France

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Issue

Vol. 98, Iss. 22 — 1 June 2007

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