Connection between encounter volume and diffusivity in geophysical flows
Abstract. 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 anal...
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ftcdlib:oai:escholarship.org:ark:/13030/qt7mj147g9 2023-06-18T03:41:59+02:00 Connection between encounter volume and diffusivity in geophysical flows Rypina, Irina I Smith, Stefan G Llewellyn Pratt, Larry J 267 - 278 2018-01-01 application/pdf https://escholarship.org/uc/item/7mj147g9 unknown eScholarship, University of California qt7mj147g9 https://escholarship.org/uc/item/7mj147g9 public Nonlinear Processes in Geophysics, vol 25, iss 2 Earth Sciences Meteorology & Atmospheric Sciences article 2018 ftcdlib 2023-06-05T18:00:01Z Abstract. 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 University of California: eScholarship |
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Open Polar |
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University of California: eScholarship |
op_collection_id |
ftcdlib |
language |
unknown |
topic |
Earth Sciences Meteorology & Atmospheric Sciences |
spellingShingle |
Earth Sciences Meteorology & Atmospheric Sciences Rypina, Irina I Smith, Stefan G Llewellyn Pratt, Larry J Connection between encounter volume and diffusivity in geophysical flows |
topic_facet |
Earth Sciences Meteorology & Atmospheric Sciences |
description |
Abstract. 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 Smith, Stefan G Llewellyn Pratt, Larry J |
author_facet |
Rypina, Irina I Smith, Stefan G Llewellyn 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 |
eScholarship, University of California |
publishDate |
2018 |
url |
https://escholarship.org/uc/item/7mj147g9 |
op_coverage |
267 - 278 |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_source |
Nonlinear Processes in Geophysics, vol 25, iss 2 |
op_relation |
qt7mj147g9 https://escholarship.org/uc/item/7mj147g9 |
op_rights |
public |
_version_ |
1769007746524381184 |