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    The Role of Nonnormality in Overreflection Theory

    Source: Journal of the Atmospheric Sciences:;2010:;Volume( 067 ):;issue: 008::page 2547
    Author:
    Bakas, Nikolaos A.
    ,
    Farrell, Brian F.
    DOI: 10.1175/2010JAS3455.1
    Publisher: American Meteorological Society
    Abstract: The role of nonnormality in the overreflection of gravity waves is investigated. In the limit of weak stratification, wave packets having a critical level inside a shear layer of finite depth are reflected with amplified energy. This process, which exhibits the characteristics of stimulated emission, occurs in three stages: first, the incoming wave enters the shear layer and excites nonpropagating perturbations leaning with and against the shear. Subsequently, the energy of perturbations leaning against the shear grows in a manner similar to energy growth of perturbations in constant shear flows, indicating that the Orr mechanism that is slightly modified by stratification underlies the observed growth. Finally, the amplified perturbations excite propagating waves originating from the vicinity of the shear layer boundary. The role of nonnormality in this process is also investigated from the perspective of the associated nonorthogonality of the modes of the dynamical system. It is found that the incident wave packet projects on nonorthogonal analytic modes having the structure of a downward propagating wave in the far field below the shear layer and overreflection expressed by the interaction among these nonorthogonal modes.
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      The Role of Nonnormality in Overreflection Theory

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4212013
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    contributor authorBakas, Nikolaos A.
    contributor authorFarrell, Brian F.
    date accessioned2017-06-09T16:34:29Z
    date available2017-06-09T16:34:29Z
    date copyright2010/08/01
    date issued2010
    identifier issn0022-4928
    identifier otherams-70252.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4212013
    description abstractThe role of nonnormality in the overreflection of gravity waves is investigated. In the limit of weak stratification, wave packets having a critical level inside a shear layer of finite depth are reflected with amplified energy. This process, which exhibits the characteristics of stimulated emission, occurs in three stages: first, the incoming wave enters the shear layer and excites nonpropagating perturbations leaning with and against the shear. Subsequently, the energy of perturbations leaning against the shear grows in a manner similar to energy growth of perturbations in constant shear flows, indicating that the Orr mechanism that is slightly modified by stratification underlies the observed growth. Finally, the amplified perturbations excite propagating waves originating from the vicinity of the shear layer boundary. The role of nonnormality in this process is also investigated from the perspective of the associated nonorthogonality of the modes of the dynamical system. It is found that the incident wave packet projects on nonorthogonal analytic modes having the structure of a downward propagating wave in the far field below the shear layer and overreflection expressed by the interaction among these nonorthogonal modes.
    publisherAmerican Meteorological Society
    titleThe Role of Nonnormality in Overreflection Theory
    typeJournal Paper
    journal volume67
    journal issue8
    journal titleJournal of the Atmospheric Sciences
    identifier doi10.1175/2010JAS3455.1
    journal fristpage2547
    journal lastpage2558
    treeJournal of the Atmospheric Sciences:;2010:;Volume( 067 ):;issue: 008
    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