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    Anelastic Internal Wave Packet Evolution and Stability

    Source: Journal of the Atmospheric Sciences:;2011:;Volume( 068 ):;issue: 012::page 2844
    Author:
    Dosser, Hayley V.
    ,
    Sutherland, Bruce R.
    DOI: 10.1175/JAS-D-11-097.1
    Publisher: American Meteorological Society
    Abstract: s upward-propagating anelastic internal gravity wave packets grow in amplitude, nonlinear effects develop as a result of interactions with the horizontal mean flow that they induce. This qualitatively alters the structure of the wave packet. The weakly nonlinear dynamics are well captured by the nonlinear Schrödinger equation, which is derived here for anelastic waves. In particular, this predicts that strongly nonhydrostatic waves are modulationally unstable and so the wave packet narrows and grows more rapidly in amplitude than the exponential anelastic growth rate. More hydrostatic waves are modulationally stable and so their amplitude grows less rapidly. The marginal case between stability and instability occurs for waves propagating at the fastest vertical group velocity. Extrapolating these results to waves propagating to higher altitudes (hence attaining larger amplitudes), it is anticipated that modulationally unstable waves should break at lower altitudes and modulationally stable waves should break at higher altitudes than predicted by linear theory. This prediction is borne out by fully nonlinear numerical simulations of the anelastic equations. A range of simulations is performed to quantify where overturning actually occurs.
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      Anelastic Internal Wave Packet Evolution and Stability

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    contributor authorDosser, Hayley V.
    contributor authorSutherland, Bruce R.
    date accessioned2017-06-09T16:55:07Z
    date available2017-06-09T16:55:07Z
    date copyright2011/12/01
    date issued2011
    identifier issn0022-4928
    identifier otherams-76486.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4218938
    description abstracts upward-propagating anelastic internal gravity wave packets grow in amplitude, nonlinear effects develop as a result of interactions with the horizontal mean flow that they induce. This qualitatively alters the structure of the wave packet. The weakly nonlinear dynamics are well captured by the nonlinear Schrödinger equation, which is derived here for anelastic waves. In particular, this predicts that strongly nonhydrostatic waves are modulationally unstable and so the wave packet narrows and grows more rapidly in amplitude than the exponential anelastic growth rate. More hydrostatic waves are modulationally stable and so their amplitude grows less rapidly. The marginal case between stability and instability occurs for waves propagating at the fastest vertical group velocity. Extrapolating these results to waves propagating to higher altitudes (hence attaining larger amplitudes), it is anticipated that modulationally unstable waves should break at lower altitudes and modulationally stable waves should break at higher altitudes than predicted by linear theory. This prediction is borne out by fully nonlinear numerical simulations of the anelastic equations. A range of simulations is performed to quantify where overturning actually occurs.
    publisherAmerican Meteorological Society
    titleAnelastic Internal Wave Packet Evolution and Stability
    typeJournal Paper
    journal volume68
    journal issue12
    journal titleJournal of the Atmospheric Sciences
    identifier doi10.1175/JAS-D-11-097.1
    journal fristpage2844
    journal lastpage2859
    treeJournal of the Atmospheric Sciences:;2011:;Volume( 068 ):;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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