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    The Transition between Kelvin–Helmholtz and Holmboe Instability: An Investigation of the Overreflection Hypothesis

    Source: Journal of the Atmospheric Sciences:;1988:;Volume( 046 ):;issue: 024::page 3698
    Author:
    Smyth, W. D.
    ,
    Peltier, W. R.
    DOI: 10.1175/1520-0469(1989)046<3698:TTBKAH>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: We consider the evolution of small disturbances on an inviscid, Boussinesq, stably stratified free shear layer. This flow may deliver either Kelvin-Helmholtz or Holmboe instability, depending on the details of the background stratification. Conventional one-dimensional linear analysis is employed to study the temporal and spatial structures of these instabilities and the physical mechanisms which govern their evolution. Attention is focussed upon the manner in which Kelvin-Helmboltz instability is replaced by Holmboe instability for a sequence of background flows with successively larger values of the bulk Richardson number. Unstable normal modes that exist in the transition region between the Kelvin-Heimboltz and Holmboe regimes exhibit a distinctive spatial structure, are characterized by relatively low growth rates, and are shown to occur under conditions for which overreflection of neutrally propagating internal waves apparently cannot occur because the gradient Richardson number at the steering level exceeds ¼. Detailed calculations of the propagation characteristics of internal waves in stratified shear layers the extent to which resonant overreflection theory, based upon the reflection properties of temporally neutral waves, may fail to yield physical insight into the stability characteristics of such flows.
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      The Transition between Kelvin–Helmholtz and Holmboe Instability: An Investigation of the Overreflection Hypothesis

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4156451
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    contributor authorSmyth, W. D.
    contributor authorPeltier, W. R.
    date accessioned2017-06-09T14:29:27Z
    date available2017-06-09T14:29:27Z
    date copyright1989/12/01
    date issued1988
    identifier issn0022-4928
    identifier otherams-20244.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4156451
    description abstractWe consider the evolution of small disturbances on an inviscid, Boussinesq, stably stratified free shear layer. This flow may deliver either Kelvin-Helmholtz or Holmboe instability, depending on the details of the background stratification. Conventional one-dimensional linear analysis is employed to study the temporal and spatial structures of these instabilities and the physical mechanisms which govern their evolution. Attention is focussed upon the manner in which Kelvin-Helmboltz instability is replaced by Holmboe instability for a sequence of background flows with successively larger values of the bulk Richardson number. Unstable normal modes that exist in the transition region between the Kelvin-Heimboltz and Holmboe regimes exhibit a distinctive spatial structure, are characterized by relatively low growth rates, and are shown to occur under conditions for which overreflection of neutrally propagating internal waves apparently cannot occur because the gradient Richardson number at the steering level exceeds ¼. Detailed calculations of the propagation characteristics of internal waves in stratified shear layers the extent to which resonant overreflection theory, based upon the reflection properties of temporally neutral waves, may fail to yield physical insight into the stability characteristics of such flows.
    publisherAmerican Meteorological Society
    titleThe Transition between Kelvin–Helmholtz and Holmboe Instability: An Investigation of the Overreflection Hypothesis
    typeJournal Paper
    journal volume46
    journal issue24
    journal titleJournal of the Atmospheric Sciences
    identifier doi10.1175/1520-0469(1989)046<3698:TTBKAH>2.0.CO;2
    journal fristpage3698
    journal lastpage3720
    treeJournal of the Atmospheric Sciences:;1988:;Volume( 046 ):;issue: 024
    contenttypeFulltext
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