Characterizing Transport between the Surface Mixed Layer and the Ocean Interior with a Forward and Adjoint Global Ocean Transport Model
The theory of first-passage time distribution functions and its extension to last-passage time distribution functions are applied to the problem of tracking the movement of water masses to and from the surface mixed layer in a global ocean general circulation model. The first-passage time distributi...
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Language: | English |
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ftcdlib:qt5f76r4wn 2023-05-15T17:25:27+02:00 Characterizing Transport between the Surface Mixed Layer and the Ocean Interior with a Forward and Adjoint Global Ocean Transport Model Primeau, Francois 545 - 564 2005-04-01 application/pdf http://www.escholarship.org/uc/item/5f76r4wn english eng eScholarship, University of California qt5f76r4wn http://www.escholarship.org/uc/item/5f76r4wn Attribution (CC BY): http://creativecommons.org/licenses/by/3.0/ CC-BY Primeau, Francois. (2005). Characterizing Transport between the Surface Mixed Layer and the Ocean Interior with a Forward and Adjoint Global Ocean Transport Model. Journal of Physical Oceanography, 35(4), 545 - 564. doi:10.1175/JPO2699.1. UC Irvine: Retrieved from: http://www.escholarship.org/uc/item/5f76r4wn Physical Sciences and Mathematics North-Atlantic deep-water age circulation ventilation tracers carbon article 2005 ftcdlib https://doi.org/10.1175/JPO2699.1 2016-04-02T18:32:42Z The theory of first-passage time distribution functions and its extension to last-passage time distribution functions are applied to the problem of tracking the movement of water masses to and from the surface mixed layer in a global ocean general circulation model. The first-passage time distribution function is used to determine in a probabilistic sense when and where a fluid element will make its first contact with the surface as a function of its position in the ocean interior. The last-passage time distribution is used to determine when and where a fluid element made its last contact with the surface. A computationally efficient method is presented for recursively computing the first few moments of the first- and last-passage time distributions by directly inverting the forward and adjoint transport operator. This approach allows integrated transport information to be obtained directly from the differential form of the transport operator without the need to perform lengthy multitracer time integration of the transport equations. The method, which relies on the stationarity of the transport operator, is applied to the time-averaged transport operator obtained from a three-dimensional global ocean simulation performed with an OGCM. With this approach, the author (i) computes surface maps showing the fraction of the total ocean volume per unit area that ventilates at each point on the surface of the ocean, (ii) partitions interior water masses based on their formation region at the surface, and (iii) computes the three-dimensional spatial distribution of the mean and standard deviation of the age distribution of water. Article in Journal/Newspaper North Atlantic Deep Water North Atlantic University of California: eScholarship Journal of Physical Oceanography 35 4 545 564 |
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Open Polar |
collection |
University of California: eScholarship |
op_collection_id |
ftcdlib |
language |
English |
topic |
Physical Sciences and Mathematics North-Atlantic deep-water age circulation ventilation tracers carbon |
spellingShingle |
Physical Sciences and Mathematics North-Atlantic deep-water age circulation ventilation tracers carbon Primeau, Francois Characterizing Transport between the Surface Mixed Layer and the Ocean Interior with a Forward and Adjoint Global Ocean Transport Model |
topic_facet |
Physical Sciences and Mathematics North-Atlantic deep-water age circulation ventilation tracers carbon |
description |
The theory of first-passage time distribution functions and its extension to last-passage time distribution functions are applied to the problem of tracking the movement of water masses to and from the surface mixed layer in a global ocean general circulation model. The first-passage time distribution function is used to determine in a probabilistic sense when and where a fluid element will make its first contact with the surface as a function of its position in the ocean interior. The last-passage time distribution is used to determine when and where a fluid element made its last contact with the surface. A computationally efficient method is presented for recursively computing the first few moments of the first- and last-passage time distributions by directly inverting the forward and adjoint transport operator. This approach allows integrated transport information to be obtained directly from the differential form of the transport operator without the need to perform lengthy multitracer time integration of the transport equations. The method, which relies on the stationarity of the transport operator, is applied to the time-averaged transport operator obtained from a three-dimensional global ocean simulation performed with an OGCM. With this approach, the author (i) computes surface maps showing the fraction of the total ocean volume per unit area that ventilates at each point on the surface of the ocean, (ii) partitions interior water masses based on their formation region at the surface, and (iii) computes the three-dimensional spatial distribution of the mean and standard deviation of the age distribution of water. |
format |
Article in Journal/Newspaper |
author |
Primeau, Francois |
author_facet |
Primeau, Francois |
author_sort |
Primeau, Francois |
title |
Characterizing Transport between the Surface Mixed Layer and the Ocean Interior with a Forward and Adjoint Global Ocean Transport Model |
title_short |
Characterizing Transport between the Surface Mixed Layer and the Ocean Interior with a Forward and Adjoint Global Ocean Transport Model |
title_full |
Characterizing Transport between the Surface Mixed Layer and the Ocean Interior with a Forward and Adjoint Global Ocean Transport Model |
title_fullStr |
Characterizing Transport between the Surface Mixed Layer and the Ocean Interior with a Forward and Adjoint Global Ocean Transport Model |
title_full_unstemmed |
Characterizing Transport between the Surface Mixed Layer and the Ocean Interior with a Forward and Adjoint Global Ocean Transport Model |
title_sort |
characterizing transport between the surface mixed layer and the ocean interior with a forward and adjoint global ocean transport model |
publisher |
eScholarship, University of California |
publishDate |
2005 |
url |
http://www.escholarship.org/uc/item/5f76r4wn |
op_coverage |
545 - 564 |
genre |
North Atlantic Deep Water North Atlantic |
genre_facet |
North Atlantic Deep Water North Atlantic |
op_source |
Primeau, Francois. (2005). Characterizing Transport between the Surface Mixed Layer and the Ocean Interior with a Forward and Adjoint Global Ocean Transport Model. Journal of Physical Oceanography, 35(4), 545 - 564. doi:10.1175/JPO2699.1. UC Irvine: Retrieved from: http://www.escholarship.org/uc/item/5f76r4wn |
op_relation |
qt5f76r4wn http://www.escholarship.org/uc/item/5f76r4wn |
op_rights |
Attribution (CC BY): http://creativecommons.org/licenses/by/3.0/ |
op_rightsnorm |
CC-BY |
op_doi |
https://doi.org/10.1175/JPO2699.1 |
container_title |
Journal of Physical Oceanography |
container_volume |
35 |
container_issue |
4 |
container_start_page |
545 |
op_container_end_page |
564 |
_version_ |
1766116892944105472 |