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    A Model for Vortex-Trapped Internal Waves

    Source: Journal of Physical Oceanography:;1998:;Volume( 028 ):;issue: 010::page 2104
    Author:
    Kunze, Eric
    ,
    Boss, Emmanuel
    DOI: 10.1175/1520-0485(1998)028<2104:AMFVTI>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: Regions of negative vorticity are observed to trap and amplify near-inertial internal waves, which are sources of turbulent mixing 10?100 times higher than typically found in the stratified ocean interior. Because these regions are of finite lateral extent, trapped waves will not form a continuum but be quantized in modes. A model for the radial structure of near-inertial azimuthal modes in an axisymmetric vortex is described in order to explain intense near-inertial motions observed in the cores of a Gulf Stream warm-core ring and a vortex cap above Fieberling Seamount. Observed signals exhibit little variability of the rectilinear phase ? = arctan(?/u) in the core and evanesce rapidly outside the swirl velocity maximum, where u is the zonal velocity and ? the meridional velocity. The authors focus on azimuthal mode n = ?1 (propagating clockwise around the vortex) and the gravest radial mode (no zero crossing) that appears to dominate observations. Model solutions resemble Bessel functions inside the velocity maximum and modified Bessel function decay outside, consistent with observations and solutions previously found by Kunze et al. using a less complete model. The improved model supports their conclusions concerning radial wavelengths, vertical group velocities, and energy fluxes for trapped waves.
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      A Model for Vortex-Trapped Internal Waves

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4166113
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    contributor authorKunze, Eric
    contributor authorBoss, Emmanuel
    date accessioned2017-06-09T14:53:12Z
    date available2017-06-09T14:53:12Z
    date copyright1998/10/01
    date issued1998
    identifier issn0022-3670
    identifier otherams-28941.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4166113
    description abstractRegions of negative vorticity are observed to trap and amplify near-inertial internal waves, which are sources of turbulent mixing 10?100 times higher than typically found in the stratified ocean interior. Because these regions are of finite lateral extent, trapped waves will not form a continuum but be quantized in modes. A model for the radial structure of near-inertial azimuthal modes in an axisymmetric vortex is described in order to explain intense near-inertial motions observed in the cores of a Gulf Stream warm-core ring and a vortex cap above Fieberling Seamount. Observed signals exhibit little variability of the rectilinear phase ? = arctan(?/u) in the core and evanesce rapidly outside the swirl velocity maximum, where u is the zonal velocity and ? the meridional velocity. The authors focus on azimuthal mode n = ?1 (propagating clockwise around the vortex) and the gravest radial mode (no zero crossing) that appears to dominate observations. Model solutions resemble Bessel functions inside the velocity maximum and modified Bessel function decay outside, consistent with observations and solutions previously found by Kunze et al. using a less complete model. The improved model supports their conclusions concerning radial wavelengths, vertical group velocities, and energy fluxes for trapped waves.
    publisherAmerican Meteorological Society
    titleA Model for Vortex-Trapped Internal Waves
    typeJournal Paper
    journal volume28
    journal issue10
    journal titleJournal of Physical Oceanography
    identifier doi10.1175/1520-0485(1998)028<2104:AMFVTI>2.0.CO;2
    journal fristpage2104
    journal lastpage2115
    treeJournal of Physical Oceanography:;1998:;Volume( 028 ):;issue: 010
    contenttypeFulltext
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