Dissipative inertial transport patterns near coherent Lagrangian eddies in the ocean

Chaos
Francisco J Beron-VeraYan Wang

Abstract

Recent developments in dynamical systems theory have revealed long-lived and coherent Lagrangian (i.e., material) eddies in incompressible, satellite-derived surface ocean velocity fields. Paradoxically, observed drifting buoys and floating matter tend to create dissipative-looking patterns near oceanic eddies, which appear to be inconsistent with the conservative fluid particle patterns created by coherent Lagrangian eddies. Here, we show that inclusion of inertial effects (i.e., those produced by the buoyancy and size finiteness of an object) in a rotating two-dimensional incompressible flow context resolves this paradox. Specifically, we obtain that anticyclonic coherent Lagrangian eddies attract (repel) negatively (positively) buoyant finite-size particles, while cyclonic coherent Lagrangian eddies attract (repel) positively (negatively) buoyant finite-size particles. We show how these results explain dissipative-looking satellite-tracked surface drifter and subsurface float trajectories, as well as satellite-derived Sargassum distributions.

References

May 10, 2003·Proceedings. Biological Sciences·R ReigadaF Sagués
Jan 1, 2009·Annual Review of Marine Science·Patrice Klein, Guillaume Lapeyre
Jun 24, 2011·Marine Pollution Bulletin·Nikolai MaximenkoPeter Niiler
Jan 17, 2012·Physical Review Letters·Anton Daitche, Tamás Tél
Oct 3, 2014·Chaos·Gary FroylandErik van Sebille

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Citations

Mar 7, 2018·Proceedings of the National Academy of Sciences of the United States of America·F J Beron-VeraG Haller
Nov 7, 2019·International Journal of Environmental Research and Public Health·Faming HuangJie Lin
Apr 15, 2016·Physical Review. E·M SudharsanJames J Riley
Jul 28, 2018·Scientific Reports·Francisco J Beron-VeraPaula Pérez-Brunius
Aug 3, 2017·Scientific Reports·P MironG Froyland
May 3, 2019·Chaos·P MironP Koltai
Mar 18, 2016·Physical Review. E·Vicente Pérez-Muñuzuri, Daniel Garaboa-Paz

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