Effects of Non Isothermality and Wind-Shears on the Propagation of Gravity Waves (II): Ray-Tracing Images

Effects of Non Isothermality and Wind-Shears on the Propagation of Gravity Waves (II): Ray-Tracing Images

J. Z. G. Ma

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Effects of Non Isothermality and Wind-Shears on the Propagation of Gravity Waves (II): Ray-Tracing Images

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Abstract

We investigate the effects of the wind shears and nonisothermality on the ray propagation of acoustic-gravity waves in a nonhydrostatic atmosphere by generalizing Marks & Eckermann’s WKB ray-tracing formalism (1995: J. Atmo. Sci., 52, 11, 1959Sci., 52, 11, -1984;; cited as ME95). Five atmospheric conditions are considered, starting from the simplest isothermal and shearfree case. In every step case a set of ray equations is derived to numerically code into a global raytracing model and calculate the profiles of ray paths in space and time, wavelengths and intrinsic wave periods along the rays, meanfield temperature or horizontal zonal/meridional wind speeds, as well as their gradients, and the WKB criterion parameter, . Results include, but not limited to, the following: (1) Rays in shear-free and isothermal atmosphere follow straight lines in space; both forward and backward-mapping rays are superimposed upon each other; wavelengths ( x,y,z ), as well as the intrinsic wave period ( ), keep constant versus altitude. (2) If Hines’ locally isothermal condition is applied, i.e., including the effect of temperature variations in altitude, ray traces become non-straight; however, their projections in the horizontal plane keep straight; the forward and backward ray traces are no longer overlain; and, show discernable changes but does not change. All the modulations happen at around 80-150 km altitudes.

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How to Cite This Article

J. Z. G. Ma. 2016. \u201cEffects of Non Isothermality and Wind-Shears on the Propagation of Gravity Waves (II): Ray-Tracing Images\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 16 (GJSFR Volume 16 Issue F3): .

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GJSFR Volume 16 Issue F3
Pg. 37- 81

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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

Submission ReceivedMarch 27, 2016
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Accepted April 20, 2016
Published May 3, 2016

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Total Score: 131

Country: United States

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: J. Z. G. Ma (PhD/Dr. count: 0)

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