Bifurcation structure of a wind-driven shallow water model with layer-outcropping
The steady state bifurcation structure of the double-gyre wind-driven ocean circulation is examined in a shallow water model where the upper layer is allowed to outcrop at the sea surface. In addition to the classical jet-up and jet-down multiple equilibria, we find a new regime in which one of the...
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Language: | English |
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ftcdlib:qt087159q3 2023-05-15T17:33:28+02:00 Bifurcation structure of a wind-driven shallow water model with layer-outcropping Primeau, Francois W Newman, David 250 - 263 2007-01-01 application/pdf http://www.escholarship.org/uc/item/087159q3 english eng eScholarship, University of California qt087159q3 http://www.escholarship.org/uc/item/087159q3 Attribution (CC BY): http://creativecommons.org/licenses/by/3.0/ CC-BY Primeau, Francois W; & Newman, David. (2007). Bifurcation structure of a wind-driven shallow water model with layer-outcropping. Ocean Modelling, 16(3-4), 250 - 263. doi:10.1016/j.ocemod.2006.10.003. UC Irvine: Department of Earth System Science, UCI. Retrieved from: http://www.escholarship.org/uc/item/087159q3 Physical Sciences and Mathematics low-frequency variability double-gyre circulation ocean circulationm multiple equilibria gulf-stream north-atlantic boundary kuroshio 2-layer thermocline article 2007 ftcdlib https://doi.org/10.1016/j.ocemod.2006.10.003 2016-04-02T18:36:36Z The steady state bifurcation structure of the double-gyre wind-driven ocean circulation is examined in a shallow water model where the upper layer is allowed to outcrop at the sea surface. In addition to the classical jet-up and jet-down multiple equilibria, we find a new regime in which one of the equilibrium solutions has a large outcropping region in the subpolar gyre. Time dependent simulations show that the outcropping solution equilibrates to a stable periodic orbit with a period of 8 months. Co-existing with the periodic solution is a stable steady state solution without outcropping. A numerical scheme that has the unique advantage of being differentiable while still allowing layers to outcrop at the sea surface is used for the analysis. In contrast, standard schemes for solving layered models with outcropping are non-differentiable and have an ill-defined Jacobian making them unsuitable for solution using Newton’s method. As such, our new scheme expands the applicability of numerical bifurcation techniques to an important class of ocean models whose bifurcation structure had hitherto remained unexplored. Article in Journal/Newspaper North Atlantic University of California: eScholarship Ocean Modelling 16 3-4 250 263 |
institution |
Open Polar |
collection |
University of California: eScholarship |
op_collection_id |
ftcdlib |
language |
English |
topic |
Physical Sciences and Mathematics low-frequency variability double-gyre circulation ocean circulationm multiple equilibria gulf-stream north-atlantic boundary kuroshio 2-layer thermocline |
spellingShingle |
Physical Sciences and Mathematics low-frequency variability double-gyre circulation ocean circulationm multiple equilibria gulf-stream north-atlantic boundary kuroshio 2-layer thermocline Primeau, Francois W Newman, David Bifurcation structure of a wind-driven shallow water model with layer-outcropping |
topic_facet |
Physical Sciences and Mathematics low-frequency variability double-gyre circulation ocean circulationm multiple equilibria gulf-stream north-atlantic boundary kuroshio 2-layer thermocline |
description |
The steady state bifurcation structure of the double-gyre wind-driven ocean circulation is examined in a shallow water model where the upper layer is allowed to outcrop at the sea surface. In addition to the classical jet-up and jet-down multiple equilibria, we find a new regime in which one of the equilibrium solutions has a large outcropping region in the subpolar gyre. Time dependent simulations show that the outcropping solution equilibrates to a stable periodic orbit with a period of 8 months. Co-existing with the periodic solution is a stable steady state solution without outcropping. A numerical scheme that has the unique advantage of being differentiable while still allowing layers to outcrop at the sea surface is used for the analysis. In contrast, standard schemes for solving layered models with outcropping are non-differentiable and have an ill-defined Jacobian making them unsuitable for solution using Newton’s method. As such, our new scheme expands the applicability of numerical bifurcation techniques to an important class of ocean models whose bifurcation structure had hitherto remained unexplored. |
format |
Article in Journal/Newspaper |
author |
Primeau, Francois W Newman, David |
author_facet |
Primeau, Francois W Newman, David |
author_sort |
Primeau, Francois W |
title |
Bifurcation structure of a wind-driven shallow water model with layer-outcropping |
title_short |
Bifurcation structure of a wind-driven shallow water model with layer-outcropping |
title_full |
Bifurcation structure of a wind-driven shallow water model with layer-outcropping |
title_fullStr |
Bifurcation structure of a wind-driven shallow water model with layer-outcropping |
title_full_unstemmed |
Bifurcation structure of a wind-driven shallow water model with layer-outcropping |
title_sort |
bifurcation structure of a wind-driven shallow water model with layer-outcropping |
publisher |
eScholarship, University of California |
publishDate |
2007 |
url |
http://www.escholarship.org/uc/item/087159q3 |
op_coverage |
250 - 263 |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_source |
Primeau, Francois W; & Newman, David. (2007). Bifurcation structure of a wind-driven shallow water model with layer-outcropping. Ocean Modelling, 16(3-4), 250 - 263. doi:10.1016/j.ocemod.2006.10.003. UC Irvine: Department of Earth System Science, UCI. Retrieved from: http://www.escholarship.org/uc/item/087159q3 |
op_relation |
qt087159q3 http://www.escholarship.org/uc/item/087159q3 |
op_rights |
Attribution (CC BY): http://creativecommons.org/licenses/by/3.0/ |
op_rightsnorm |
CC-BY |
op_doi |
https://doi.org/10.1016/j.ocemod.2006.10.003 |
container_title |
Ocean Modelling |
container_volume |
16 |
container_issue |
3-4 |
container_start_page |
250 |
op_container_end_page |
263 |
_version_ |
1766131990737715200 |