Connection between encounter volume and diffusivity in geophysical flows
Trajectory encounter volume – the volume of fluid that passes close to a reference fluid parcel over some time interval – has been recently introduced as a measure of mixing potential of a flow. Diffusivity is the most commonly used characteristic of turbulent diffusion. We derive the analytical rel...
Published in: | Nonlinear Processes in Geophysics |
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Copernicus Publications
2018
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ftnonlinearchiv:oai:noa.gwlb.de:cop_mods_00006870 2023-05-15T17:31:50+02:00 Connection between encounter volume and diffusivity in geophysical flows Rypina, Irina I. Llewellyn Smith, Stefan G. Pratt, Larry J. 2018-04 electronic https://doi.org/10.5194/npg-25-267-2018 https://noa.gwlb.de/receive/cop_mods_00006870 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00006827/npg-25-267-2018.pdf https://npg.copernicus.org/articles/25/267/2018/npg-25-267-2018.pdf eng eng Copernicus Publications Nonlinear Processes in Geophysics -- http://www.bibliothek.uni-regensburg.de/ezeit/?2078085 -- http://www.nonlin-processes-geophys.net/ -- http://www.copernicus.org/EGU/npg/npg.htm -- 1607-7946 https://doi.org/10.5194/npg-25-267-2018 https://noa.gwlb.de/receive/cop_mods_00006870 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00006827/npg-25-267-2018.pdf https://npg.copernicus.org/articles/25/267/2018/npg-25-267-2018.pdf https://creativecommons.org/licenses/by/4.0/ uneingeschränkt info:eu-repo/semantics/openAccess CC-BY article Verlagsveröffentlichung article Text doc-type:article 2018 ftnonlinearchiv https://doi.org/10.5194/npg-25-267-2018 2022-02-08T22:58:50Z Trajectory encounter volume – the volume of fluid that passes close to a reference fluid parcel over some time interval – has been recently introduced as a measure of mixing potential of a flow. Diffusivity is the most commonly used characteristic of turbulent diffusion. We derive the analytical relationship between the encounter volume and diffusivity under the assumption of an isotropic random walk, i.e., diffusive motion, in one and two dimensions. We apply the derived formulas to produce maps of encounter volume and the corresponding diffusivity in the Gulf Stream region of the North Atlantic based on satellite altimetry, and discuss the mixing properties of Gulf Stream rings. Advantages offered by the derived formula for estimating diffusivity from oceanographic data are discussed, as well as applications to other disciplines. Article in Journal/Newspaper North Atlantic Niedersächsisches Online-Archiv NOA Nonlinear Processes in Geophysics 25 2 267 278 |
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English |
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article Verlagsveröffentlichung |
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article Verlagsveröffentlichung Rypina, Irina I. Llewellyn Smith, Stefan G. Pratt, Larry J. Connection between encounter volume and diffusivity in geophysical flows |
topic_facet |
article Verlagsveröffentlichung |
description |
Trajectory encounter volume – the volume of fluid that passes close to a reference fluid parcel over some time interval – has been recently introduced as a measure of mixing potential of a flow. Diffusivity is the most commonly used characteristic of turbulent diffusion. We derive the analytical relationship between the encounter volume and diffusivity under the assumption of an isotropic random walk, i.e., diffusive motion, in one and two dimensions. We apply the derived formulas to produce maps of encounter volume and the corresponding diffusivity in the Gulf Stream region of the North Atlantic based on satellite altimetry, and discuss the mixing properties of Gulf Stream rings. Advantages offered by the derived formula for estimating diffusivity from oceanographic data are discussed, as well as applications to other disciplines. |
format |
Article in Journal/Newspaper |
author |
Rypina, Irina I. Llewellyn Smith, Stefan G. Pratt, Larry J. |
author_facet |
Rypina, Irina I. Llewellyn Smith, Stefan G. Pratt, Larry J. |
author_sort |
Rypina, Irina I. |
title |
Connection between encounter volume and diffusivity in geophysical flows |
title_short |
Connection between encounter volume and diffusivity in geophysical flows |
title_full |
Connection between encounter volume and diffusivity in geophysical flows |
title_fullStr |
Connection between encounter volume and diffusivity in geophysical flows |
title_full_unstemmed |
Connection between encounter volume and diffusivity in geophysical flows |
title_sort |
connection between encounter volume and diffusivity in geophysical flows |
publisher |
Copernicus Publications |
publishDate |
2018 |
url |
https://doi.org/10.5194/npg-25-267-2018 https://noa.gwlb.de/receive/cop_mods_00006870 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00006827/npg-25-267-2018.pdf https://npg.copernicus.org/articles/25/267/2018/npg-25-267-2018.pdf |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_relation |
Nonlinear Processes in Geophysics -- http://www.bibliothek.uni-regensburg.de/ezeit/?2078085 -- http://www.nonlin-processes-geophys.net/ -- http://www.copernicus.org/EGU/npg/npg.htm -- 1607-7946 https://doi.org/10.5194/npg-25-267-2018 https://noa.gwlb.de/receive/cop_mods_00006870 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00006827/npg-25-267-2018.pdf https://npg.copernicus.org/articles/25/267/2018/npg-25-267-2018.pdf |
op_rights |
https://creativecommons.org/licenses/by/4.0/ uneingeschränkt info:eu-repo/semantics/openAccess |
op_rightsnorm |
CC-BY |
op_doi |
https://doi.org/10.5194/npg-25-267-2018 |
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Nonlinear Processes in Geophysics |
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25 |
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2 |
container_start_page |
267 |
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278 |
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