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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Online Access: | https://doi.org/10.5194/npg-25-267-2018 https://npg.copernicus.org/articles/25/267/2018/ |
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ftcopernicus:oai:publications.copernicus.org:npg62646 2023-05-15T17:31:53+02:00 Connection between encounter volume and diffusivity in geophysical flows Rypina, Irina I. Llewellyn Smith, Stefan G. Pratt, Larry J. 2019-04-17 application/pdf https://doi.org/10.5194/npg-25-267-2018 https://npg.copernicus.org/articles/25/267/2018/ eng eng doi:10.5194/npg-25-267-2018 https://npg.copernicus.org/articles/25/267/2018/ eISSN: 1607-7946 Text 2019 ftcopernicus https://doi.org/10.5194/npg-25-267-2018 2020-07-20T16:23:20Z 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. Text North Atlantic Copernicus Publications: E-Journals Nonlinear Processes in Geophysics 25 2 267 278 |
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Open Polar |
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Copernicus Publications: E-Journals |
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ftcopernicus |
language |
English |
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 |
Text |
author |
Rypina, Irina I. Llewellyn Smith, Stefan G. Pratt, Larry J. |
spellingShingle |
Rypina, Irina I. Llewellyn Smith, Stefan G. Pratt, Larry J. Connection between encounter volume and diffusivity in geophysical flows |
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 |
publishDate |
2019 |
url |
https://doi.org/10.5194/npg-25-267-2018 https://npg.copernicus.org/articles/25/267/2018/ |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_source |
eISSN: 1607-7946 |
op_relation |
doi:10.5194/npg-25-267-2018 https://npg.copernicus.org/articles/25/267/2018/ |
op_doi |
https://doi.org/10.5194/npg-25-267-2018 |
container_title |
Nonlinear Processes in Geophysics |
container_volume |
25 |
container_issue |
2 |
container_start_page |
267 |
op_container_end_page |
278 |
_version_ |
1766129731816652800 |