Connection between encounter volume and diffusivity in geophysical flows
© The Author(s), 2018. This article is distributed under the terms of the Creative Commons Attribution License. The definitive version was published in Nonlinear Processes in Geophysics 25 (2018): 267-278, doi:10.5194/npg-25-267-2018. Trajectory encounter volume – the volume of fluid that passes clo...
Published in: | Nonlinear Processes in Geophysics |
---|---|
Main Authors: | , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Copernicus Publications on behalf of the European Geosciences Union
2018
|
Subjects: | |
Online Access: | https://hdl.handle.net/1912/10300 |
id |
ftwhoas:oai:darchive.mblwhoilibrary.org:1912/10300 |
---|---|
record_format |
openpolar |
spelling |
ftwhoas:oai:darchive.mblwhoilibrary.org:1912/10300 2023-05-15T17:33:06+02:00 Connection between encounter volume and diffusivity in geophysical flows Rypina, Irina I. Llewellyn Smith, Stefan Pratt, Lawrence J. 2018-04-04 https://hdl.handle.net/1912/10300 en_US eng Copernicus Publications on behalf of the European Geosciences Union https://doi.org/10.5194/npg-25-267-2018 Nonlinear Processes in Geophysics 25 (2018): 267-278 https://hdl.handle.net/1912/10300 doi:10.5194/npg-25-267-2018 Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ CC-BY Nonlinear Processes in Geophysics 25 (2018): 267-278 doi:10.5194/npg-25-267-2018 Article 2018 ftwhoas https://doi.org/10.5194/npg-25-267-2018 2022-05-28T23:00:23Z © The Author(s), 2018. This article is distributed under the terms of the Creative Commons Attribution License. The definitive version was published in Nonlinear Processes in Geophysics 25 (2018): 267-278, doi:10.5194/npg-25-267-2018. 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. This work was supported by NSF grants OCE-1558806 and EAR-1520825, and NASA grant NNX14AH29G. Article in Journal/Newspaper North Atlantic Woods Hole Scientific Community: WHOAS (Woods Hole Open Access Server) Nonlinear Processes in Geophysics 25 2 267 278 |
institution |
Open Polar |
collection |
Woods Hole Scientific Community: WHOAS (Woods Hole Open Access Server) |
op_collection_id |
ftwhoas |
language |
English |
description |
© The Author(s), 2018. This article is distributed under the terms of the Creative Commons Attribution License. The definitive version was published in Nonlinear Processes in Geophysics 25 (2018): 267-278, doi:10.5194/npg-25-267-2018. 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. This work was supported by NSF grants OCE-1558806 and EAR-1520825, and NASA grant NNX14AH29G. |
format |
Article in Journal/Newspaper |
author |
Rypina, Irina I. Llewellyn Smith, Stefan Pratt, Lawrence J. |
spellingShingle |
Rypina, Irina I. Llewellyn Smith, Stefan Pratt, Lawrence J. Connection between encounter volume and diffusivity in geophysical flows |
author_facet |
Rypina, Irina I. Llewellyn Smith, Stefan Pratt, Lawrence 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 on behalf of the European Geosciences Union |
publishDate |
2018 |
url |
https://hdl.handle.net/1912/10300 |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_source |
Nonlinear Processes in Geophysics 25 (2018): 267-278 doi:10.5194/npg-25-267-2018 |
op_relation |
https://doi.org/10.5194/npg-25-267-2018 Nonlinear Processes in Geophysics 25 (2018): 267-278 https://hdl.handle.net/1912/10300 doi:10.5194/npg-25-267-2018 |
op_rights |
Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ |
op_rightsnorm |
CC-BY |
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_ |
1766131483115782144 |