Low-frequency variability in shallow-water models of the wind-driven ocean circulation. Part II: Time-dependent solutions.

ABSTRACT Successive bifurcations-from steady states through periodic to aperiodic solutions-are studied in a shallowwater, reduced-gravity, 2½-layer model of the midlatitude ocean circulation subject to time-independent wind stress. The bifurcation sequence is studied in detail for a rectangular bas...

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Main Authors: Eric Simonnet, Michael Ghil, # And, Kayo Ide, Roger Temam
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Published: 2003
Subjects:
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1045.2625
http://www.indiana.edu/%7Efluid/paper/48.pdf
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spelling ftciteseerx:oai:CiteSeerX.psu:10.1.1.1045.2625 2023-05-15T17:31:07+02:00 Low-frequency variability in shallow-water models of the wind-driven ocean circulation. Part II: Time-dependent solutions. Eric Simonnet Michael Ghil # And Kayo Ide Roger Temam The Pennsylvania State University CiteSeerX Archives 2003 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1045.2625 http://www.indiana.edu/%7Efluid/paper/48.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1045.2625 http://www.indiana.edu/%7Efluid/paper/48.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://www.indiana.edu/%7Efluid/paper/48.pdf text 2003 ftciteseerx 2020-04-05T00:17:23Z ABSTRACT Successive bifurcations-from steady states through periodic to aperiodic solutions-are studied in a shallowwater, reduced-gravity, 2½-layer model of the midlatitude ocean circulation subject to time-independent wind stress. The bifurcation sequence is studied in detail for a rectangular basin with an idealized spatial pattern of wind stress. The aperiodic behavior is studied also in a North Atlantic-shaped basin with realistic continental contours. The bifurcation sequence in the rectangular basin is studied in Part I, the present article. It follows essentially the one reported for single-layer quasigeostrophic and 1½-layer shallow-water models. As the intensity of the northsouth-symmetric, zonal wind stress is increased, the nearly symmetric double-gyre circulation is destabilized through a perturbed pitchfork bifurcation. The low-stress steady solution, with its nearly equal subtropical and subpolar gyres, is replaced by an approximately mirror-symmetric pair of stable equilibria. The two solution branches so obtained are named after the inertial recirculation cell that is stronger, subtropical or subpolar, respectively. This perturbed pitchfork bifurcation and the associated Hopf bifurcations are robust to changes in the interface friction between the two active layers and the thickness H 2 of the lower active layer. They persist in the presence of asymmetries in the wind stress and of changes in the model's spatial resolution and finitedifference scheme. Time-dependent model behavior in the rectangular basin, as well as in the more realistic, North Atlantic-shaped one, is studied in Part II. Text North Atlantic Unknown
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description ABSTRACT Successive bifurcations-from steady states through periodic to aperiodic solutions-are studied in a shallowwater, reduced-gravity, 2½-layer model of the midlatitude ocean circulation subject to time-independent wind stress. The bifurcation sequence is studied in detail for a rectangular basin with an idealized spatial pattern of wind stress. The aperiodic behavior is studied also in a North Atlantic-shaped basin with realistic continental contours. The bifurcation sequence in the rectangular basin is studied in Part I, the present article. It follows essentially the one reported for single-layer quasigeostrophic and 1½-layer shallow-water models. As the intensity of the northsouth-symmetric, zonal wind stress is increased, the nearly symmetric double-gyre circulation is destabilized through a perturbed pitchfork bifurcation. The low-stress steady solution, with its nearly equal subtropical and subpolar gyres, is replaced by an approximately mirror-symmetric pair of stable equilibria. The two solution branches so obtained are named after the inertial recirculation cell that is stronger, subtropical or subpolar, respectively. This perturbed pitchfork bifurcation and the associated Hopf bifurcations are robust to changes in the interface friction between the two active layers and the thickness H 2 of the lower active layer. They persist in the presence of asymmetries in the wind stress and of changes in the model's spatial resolution and finitedifference scheme. Time-dependent model behavior in the rectangular basin, as well as in the more realistic, North Atlantic-shaped one, is studied in Part II.
author2 The Pennsylvania State University CiteSeerX Archives
format Text
author Eric Simonnet
Michael Ghil
# And
Kayo Ide
Roger Temam
spellingShingle Eric Simonnet
Michael Ghil
# And
Kayo Ide
Roger Temam
Low-frequency variability in shallow-water models of the wind-driven ocean circulation. Part II: Time-dependent solutions.
author_facet Eric Simonnet
Michael Ghil
# And
Kayo Ide
Roger Temam
author_sort Eric Simonnet
title Low-frequency variability in shallow-water models of the wind-driven ocean circulation. Part II: Time-dependent solutions.
title_short Low-frequency variability in shallow-water models of the wind-driven ocean circulation. Part II: Time-dependent solutions.
title_full Low-frequency variability in shallow-water models of the wind-driven ocean circulation. Part II: Time-dependent solutions.
title_fullStr Low-frequency variability in shallow-water models of the wind-driven ocean circulation. Part II: Time-dependent solutions.
title_full_unstemmed Low-frequency variability in shallow-water models of the wind-driven ocean circulation. Part II: Time-dependent solutions.
title_sort low-frequency variability in shallow-water models of the wind-driven ocean circulation. part ii: time-dependent solutions.
publishDate 2003
url http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1045.2625
http://www.indiana.edu/%7Efluid/paper/48.pdf
genre North Atlantic
genre_facet North Atlantic
op_source http://www.indiana.edu/%7Efluid/paper/48.pdf
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http://www.indiana.edu/%7Efluid/paper/48.pdf
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