Effects of Non Isothermality and Wind-Shears on the Propagation of Gravity Waves (I): Comparison between Hines Model and WKB Approach

Article ID

H948Y

Effects of Non Isothermality and Wind-Shears on the Propagation of Gravity Waves (I): Comparison between Hines Model and WKB Approach

J. Z. G. Ma
J. Z. G. Ma California Institute of Integral Studies
DOI

Abstract

In the presence of the vertical temperature & wind-speed gradients, we extend Hines’ isothermal and shear-free model to calculate the vertical wavenumber (mr) and growth rate (mi) of gravity waves propagating in a stratified, non-isothermal, and wind-shear atmosphere. The profiles obtained from the extended Hines’ model are compared with those from the Wentzel-Kramers-Brillouin (WKB) approach up to 300 km altitude. The empirical neutral atmospheric and wind models (NRLMSISE-00 and HWM93) are used to obtain the vertical profiles of the mean-field properties and the zonal/meridional winds.

Effects of Non Isothermality and Wind-Shears on the Propagation of Gravity Waves (I): Comparison between Hines Model and WKB Approach

In the presence of the vertical temperature & wind-speed gradients, we extend Hines’ isothermal and shear-free model to calculate the vertical wavenumber (mr) and growth rate (mi) of gravity waves propagating in a stratified, non-isothermal, and wind-shear atmosphere. The profiles obtained from the extended Hines’ model are compared with those from the Wentzel-Kramers-Brillouin (WKB) approach up to 300 km altitude. The empirical neutral atmospheric and wind models (NRLMSISE-00 and HWM93) are used to obtain the vertical profiles of the mean-field properties and the zonal/meridional winds.

J. Z. G. Ma
J. Z. G. Ma California Institute of Integral Studies

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J. Z. G. Ma. 2016. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 16 (GJSFR Volume 16 Issue F3): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 76B15
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Effects of Non Isothermality and Wind-Shears on the Propagation of Gravity Waves (I): Comparison between Hines Model and WKB Approach

J. Z. G. Ma
J. Z. G. Ma California Institute of Integral Studies

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