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    Wave Over-reflection and Baroclinic Instability of the Eady Problem

    Source: Journal of the Atmospheric Sciences:;2003:;Volume( 060 ):;issue: 019::page 2404
    Author:
    Takayabu, Izuru
    ,
    Takehiro, Shin-ichi
    DOI: 10.1175/1520-0469(2003)060<2404:WOABIO>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: The concept of wave over-reflection is applied to the unstable normal mode of the Eady problem. In order to consider propagation properties of the Rossby waves trapped at the boundaries, two thin boundary layers are introduced at the top and bottom of the fluid layer of the original model. It is shown that the Rossby waves in the boundary layers are always over-reflected as long as their critical levels exist in the constant-shear evanescent region and the waves are transmitted to the opposite boundary layer. The dispersion relation obtained by using laser formula and quantization qualitatively coincides with that of the normal mode. Although the growth rate is systematically overestimated, the short-wave cutoff is well described by the over-reflection solution. The mechanism of over-reflection obtained in this study is understood by conservation of momentum. Since the pseudomomentum of the transmitted and the incident waves have opposite signs to each other, the amplitude of the reflected wave should become larger than that of the incident wave to satisfy constant momentum flux constraints. This mechanism corresponds to that of over-reflection in a linear shear flow of the shallow water model shown in a paper by Takehiro and Hayashi.
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      Wave Over-reflection and Baroclinic Instability of the Eady Problem

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4159887
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    • Journal of the Atmospheric Sciences

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    contributor authorTakayabu, Izuru
    contributor authorTakehiro, Shin-ichi
    date accessioned2017-06-09T14:38:21Z
    date available2017-06-09T14:38:21Z
    date copyright2003/10/01
    date issued2003
    identifier issn0022-4928
    identifier otherams-23337.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4159887
    description abstractThe concept of wave over-reflection is applied to the unstable normal mode of the Eady problem. In order to consider propagation properties of the Rossby waves trapped at the boundaries, two thin boundary layers are introduced at the top and bottom of the fluid layer of the original model. It is shown that the Rossby waves in the boundary layers are always over-reflected as long as their critical levels exist in the constant-shear evanescent region and the waves are transmitted to the opposite boundary layer. The dispersion relation obtained by using laser formula and quantization qualitatively coincides with that of the normal mode. Although the growth rate is systematically overestimated, the short-wave cutoff is well described by the over-reflection solution. The mechanism of over-reflection obtained in this study is understood by conservation of momentum. Since the pseudomomentum of the transmitted and the incident waves have opposite signs to each other, the amplitude of the reflected wave should become larger than that of the incident wave to satisfy constant momentum flux constraints. This mechanism corresponds to that of over-reflection in a linear shear flow of the shallow water model shown in a paper by Takehiro and Hayashi.
    publisherAmerican Meteorological Society
    titleWave Over-reflection and Baroclinic Instability of the Eady Problem
    typeJournal Paper
    journal volume60
    journal issue19
    journal titleJournal of the Atmospheric Sciences
    identifier doi10.1175/1520-0469(2003)060<2404:WOABIO>2.0.CO;2
    journal fristpage2404
    journal lastpage2412
    treeJournal of the Atmospheric Sciences:;2003:;Volume( 060 ):;issue: 019
    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
    yabeshDSpacePersian