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    Hydraulically Drained Flows in Rotating Basins. Part I: Method

    Source: Journal of Physical Oceanography:;1997:;Volume( 027 ):;issue: 012::page 2509
    Author:
    Pratt, Lawrence J.
    ,
    Llewellyn Smith, Stefan G.
    DOI: 10.1175/1520-0485(1997)027<2509:HDFIRB>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: An asymptotic method for coupling circulations in basins to hydraulically controlled overflows is introduced. The method is applicable when the forcing, dissipation, and coupling with the overflow are weak, in which case the lowest order solution for the homogeneous or 1½-layer model consists of the natural basin modes including gravity, inertia?gravity, potential vorticity, Helmholtz, and steady geostrophic modes. At the next order of approximation, the mode amplitudes are found to vary slowly with time as the result of forcing, dissipation, interior nonlinear mode interactions, and, most importantly, coupling with the overflow. Even when the latter are absent, the overflow dynamics generally introduce nonlinearity. Although the basin dynamics are assumed linear to lowest order, the overflow is intrinsically nonlinear. To couple the two systems, the overflow model must be adapted to serve as a nonlinear boundary condition on the basin flow. To do so, a rotating-channel model introduced by Whitehead et al. valid for relatively shallow sills is employed. Although not the central focus, corresponding formulations are derived for straits acting as geostrophic controls or which are dominated by bottom drag. The principle aim of Part I is to derive the evolution equations governing the coupling between basin and sill. Parts II and III of this work contain a number of examples intended to illustrate the general method and provide insight into physical phenomena associated with hydraulically drained, time-dependent flow in deep basins such as those that occur in the Nordic seas.
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      Hydraulically Drained Flows in Rotating Basins. Part I: Method

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4165959
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    contributor authorPratt, Lawrence J.
    contributor authorLlewellyn Smith, Stefan G.
    date accessioned2017-06-09T14:52:48Z
    date available2017-06-09T14:52:48Z
    date copyright1997/12/01
    date issued1997
    identifier issn0022-3670
    identifier otherams-28802.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4165959
    description abstractAn asymptotic method for coupling circulations in basins to hydraulically controlled overflows is introduced. The method is applicable when the forcing, dissipation, and coupling with the overflow are weak, in which case the lowest order solution for the homogeneous or 1½-layer model consists of the natural basin modes including gravity, inertia?gravity, potential vorticity, Helmholtz, and steady geostrophic modes. At the next order of approximation, the mode amplitudes are found to vary slowly with time as the result of forcing, dissipation, interior nonlinear mode interactions, and, most importantly, coupling with the overflow. Even when the latter are absent, the overflow dynamics generally introduce nonlinearity. Although the basin dynamics are assumed linear to lowest order, the overflow is intrinsically nonlinear. To couple the two systems, the overflow model must be adapted to serve as a nonlinear boundary condition on the basin flow. To do so, a rotating-channel model introduced by Whitehead et al. valid for relatively shallow sills is employed. Although not the central focus, corresponding formulations are derived for straits acting as geostrophic controls or which are dominated by bottom drag. The principle aim of Part I is to derive the evolution equations governing the coupling between basin and sill. Parts II and III of this work contain a number of examples intended to illustrate the general method and provide insight into physical phenomena associated with hydraulically drained, time-dependent flow in deep basins such as those that occur in the Nordic seas.
    publisherAmerican Meteorological Society
    titleHydraulically Drained Flows in Rotating Basins. Part I: Method
    typeJournal Paper
    journal volume27
    journal issue12
    journal titleJournal of Physical Oceanography
    identifier doi10.1175/1520-0485(1997)027<2509:HDFIRB>2.0.CO;2
    journal fristpage2509
    journal lastpage2521
    treeJournal of Physical Oceanography:;1997:;Volume( 027 ):;issue: 012
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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