Eddy growth and mixing in mesoscale oceanographic flows

We study the relation between changes in the Eulerian topology of a two dimensional flow and the mixing of fluid particles between qualitatively different regions of the flow. In general time dependent flows, streamlines and particle paths are unrelated. However, for many mesoscale oceanographic fea...

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Main Authors: G. Haller, A. C. Poje
Format: Article
Language:English
Published: Copernicus Publications 1997-01-01
Series:Nonlinear Processes in Geophysics
Online Access:http://www.nonlin-processes-geophys.net/4/223/1997/npg-4-223-1997.pdf
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author G. Haller
A. C. Poje
author_facet G. Haller
A. C. Poje
author_sort G. Haller
collection DOAJ
description We study the relation between changes in the Eulerian topology of a two dimensional flow and the mixing of fluid particles between qualitatively different regions of the flow. In general time dependent flows, streamlines and particle paths are unrelated. However, for many mesoscale oceanographic features such as detaching rings and meandering jets, the rate at which the Euierian structures evolve is considerably slower than typical advection speeds of Lagrangian tracers. In this note we show that for two-dimensional, adiabatic fluid flows there is a direct relationship between observable changes in the topology of the Eulerian field and the rate of transport of fluid particles. We show that a certain class of flows is amenable to adiabatic or near adiabatic analysis, and, as an example, we use our results to study the chaotic mixing in the Dutkiewicz and Paldor (1994) kinematic model of the interaction of a meandering barotropic jet with a strong eddy.
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spelling doaj.art-92a732317c57434e8b484c4dbbef20962022-12-21T19:01:34ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79461997-01-0144223235Eddy growth and mixing in mesoscale oceanographic flowsG. HallerA. C. PojeWe study the relation between changes in the Eulerian topology of a two dimensional flow and the mixing of fluid particles between qualitatively different regions of the flow. In general time dependent flows, streamlines and particle paths are unrelated. However, for many mesoscale oceanographic features such as detaching rings and meandering jets, the rate at which the Euierian structures evolve is considerably slower than typical advection speeds of Lagrangian tracers. In this note we show that for two-dimensional, adiabatic fluid flows there is a direct relationship between observable changes in the topology of the Eulerian field and the rate of transport of fluid particles. We show that a certain class of flows is amenable to adiabatic or near adiabatic analysis, and, as an example, we use our results to study the chaotic mixing in the Dutkiewicz and Paldor (1994) kinematic model of the interaction of a meandering barotropic jet with a strong eddy.http://www.nonlin-processes-geophys.net/4/223/1997/npg-4-223-1997.pdf
spellingShingle G. Haller
A. C. Poje
Eddy growth and mixing in mesoscale oceanographic flows
Nonlinear Processes in Geophysics
title Eddy growth and mixing in mesoscale oceanographic flows
title_full Eddy growth and mixing in mesoscale oceanographic flows
title_fullStr Eddy growth and mixing in mesoscale oceanographic flows
title_full_unstemmed Eddy growth and mixing in mesoscale oceanographic flows
title_short Eddy growth and mixing in mesoscale oceanographic flows
title_sort eddy growth and mixing in mesoscale oceanographic flows
url http://www.nonlin-processes-geophys.net/4/223/1997/npg-4-223-1997.pdf
work_keys_str_mv AT ghaller eddygrowthandmixinginmesoscaleoceanographicflows
AT acpoje eddygrowthandmixinginmesoscaleoceanographicflows