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

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

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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

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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 Banner

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Abstract

In the presence of the vertical temperature & wind-speed gradients, we extend Hines’ isothermal and shear-free model to calculate the vertical wavenumber (m r ) and growth rate (m i ) 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 meanfield properties and the zonal/meridional winds.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

J. Z. G. Ma. 2016. \u201cEffects of Non Isothermality and Wind-Shears on the Propagation of Gravity Waves (I): Comparison between Hines Model and WKB Approach\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 16 (GJSFR Volume 16 Issue F3): .

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Journal Specifications

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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v1.2

Issue date

June 14, 2016

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en
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In the presence of the vertical temperature & wind-speed gradients, we extend Hines’ isothermal and shear-free model to calculate the vertical wavenumber (m r ) and growth rate (m i ) 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 meanfield properties and the zonal/meridional winds.

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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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