Rationalizing the Spatial Distribution of Mesoscale Eddy Diffusivity in Terms of Mixing Length Theory

Observations and theory suggest that lateral mixing by mesoscale ocean eddies only reaches its maximum potential at steering levels, surfaces at which the propagation speed of eddies approaches that of the mean flow. Away from steering levels, mixing is strongly suppressed because the mixing length...

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Main Authors: Bates, Michael, Tulloch, Ross, Ferrari, Raffaele, Marshall, John C
Other Authors: Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Format: Article
Language:en_US
Published: American Meteorological Society 2015
Online Access:http://hdl.handle.net/1721.1/92705
https://orcid.org/0000-0002-3736-1956
https://orcid.org/0000-0001-9230-3591
https://orcid.org/0000-0002-3729-1417
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author Bates, Michael
Tulloch, Ross
Ferrari, Raffaele
Marshall, John C
author2 Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
author_facet Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Bates, Michael
Tulloch, Ross
Ferrari, Raffaele
Marshall, John C
author_sort Bates, Michael
collection MIT
description Observations and theory suggest that lateral mixing by mesoscale ocean eddies only reaches its maximum potential at steering levels, surfaces at which the propagation speed of eddies approaches that of the mean flow. Away from steering levels, mixing is strongly suppressed because the mixing length is smaller than the eddy scale, thus reducing the mixing rates. The suppression is particularly pronounced in strong currents where mesoscale eddies are most energetic. Here, a framework for parameterizing eddy mixing is explored that attempts to capture this suppression. An expression of the surface eddy diffusivity proposed by Ferrari and Nikurashin is evaluated using observations of eddy kinetic energy, eddy scale, and eddy propagation speed. The resulting global maps of eddy diffusivity have a broad correspondence with recent estimates of diffusivity based on the rate at which tracer contours are stretched by altimetric-derived surface currents. Finally, the expression for the eddy diffusivity is extrapolated in the vertical to infer the eddy-induced meridional heat transport and the overturning streamfunction.
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spelling mit-1721.1/927052024-05-15T08:46:23Z Rationalizing the Spatial Distribution of Mesoscale Eddy Diffusivity in Terms of Mixing Length Theory Bates, Michael Tulloch, Ross Ferrari, Raffaele Marshall, John C Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Marshall, John C. Bates, Michael Tulloch, Ross Ferrari, Raffaele Observations and theory suggest that lateral mixing by mesoscale ocean eddies only reaches its maximum potential at steering levels, surfaces at which the propagation speed of eddies approaches that of the mean flow. Away from steering levels, mixing is strongly suppressed because the mixing length is smaller than the eddy scale, thus reducing the mixing rates. The suppression is particularly pronounced in strong currents where mesoscale eddies are most energetic. Here, a framework for parameterizing eddy mixing is explored that attempts to capture this suppression. An expression of the surface eddy diffusivity proposed by Ferrari and Nikurashin is evaluated using observations of eddy kinetic energy, eddy scale, and eddy propagation speed. The resulting global maps of eddy diffusivity have a broad correspondence with recent estimates of diffusivity based on the rate at which tracer contours are stretched by altimetric-derived surface currents. Finally, the expression for the eddy diffusivity is extrapolated in the vertical to infer the eddy-induced meridional heat transport and the overturning streamfunction. National Science Foundation (U.S.) (Grant 1233832) National Science Foundation (U.S.). Division of Polar Programs National Science Foundation (U.S.) (Modeling Ocean Variability and Biogeochemical Cycles Project) 2015-01-05T20:23:14Z 2015-01-05T20:23:14Z 2014-06 2014-02 Article http://purl.org/eprint/type/JournalArticle 0022-3670 1520-0485 http://hdl.handle.net/1721.1/92705 Bates, Michael, Ross Tulloch, John Marshall, and Raffaele Ferrari. “Rationalizing the Spatial Distribution of Mesoscale Eddy Diffusivity in Terms of Mixing Length Theory.” J. Phys. Oceanogr. 44, no. 6 (June 2014): 1523–1540. © 2014 American Meteorological Society https://orcid.org/0000-0002-3736-1956 https://orcid.org/0000-0001-9230-3591 https://orcid.org/0000-0002-3729-1417 en_US http://dx.doi.org/10.1175/JPO-D-13-0130.1 Journal of Physical Oceanography Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Meteorological Society American Meteorological Society
spellingShingle Bates, Michael
Tulloch, Ross
Ferrari, Raffaele
Marshall, John C
Rationalizing the Spatial Distribution of Mesoscale Eddy Diffusivity in Terms of Mixing Length Theory
title Rationalizing the Spatial Distribution of Mesoscale Eddy Diffusivity in Terms of Mixing Length Theory
title_full Rationalizing the Spatial Distribution of Mesoscale Eddy Diffusivity in Terms of Mixing Length Theory
title_fullStr Rationalizing the Spatial Distribution of Mesoscale Eddy Diffusivity in Terms of Mixing Length Theory
title_full_unstemmed Rationalizing the Spatial Distribution of Mesoscale Eddy Diffusivity in Terms of Mixing Length Theory
title_short Rationalizing the Spatial Distribution of Mesoscale Eddy Diffusivity in Terms of Mixing Length Theory
title_sort rationalizing the spatial distribution of mesoscale eddy diffusivity in terms of mixing length theory
url http://hdl.handle.net/1721.1/92705
https://orcid.org/0000-0002-3736-1956
https://orcid.org/0000-0001-9230-3591
https://orcid.org/0000-0002-3729-1417
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