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

Authors

J. Z. G. Ma

vertical temperature, wind-speed gradients, vertical wavenumber, Hines

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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Effects of Non Isothermality and Wind-Shears on the Propagation of Gravity Waves (I): Comparison between Hines Model and WKB Approach. (2016). Global Journal of Science Frontier Research, 16(17), 1-23. https://journalofscience.org/index.php/GJSFR/article/view/

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References

AGARD (1972) Effects of atmospheric acoustic gravity waves on electromagnetic wave propagation, Conf.

T. Beer (1974) Atmospheric Waves.

J. Dutton (1986) The Ceaseless Wind, Dover, New York.

C. Eckart (1960) Hydrodynamics of oceans and atmospheres.

S. Eckermann (1997) Influence of Wave Propagation on the Doppler Spreading of Atmospheric Gravity Waves. 54, 2554-2573.

F. Einaudi, C. Hines (1971) WKB approximation in application to acousticgravity waves, Can. J. 48(12), 1458-1471. https://doi.org/10.1139/p70-185

S. Francis (1973) Acoustic-gravity modes and large-scale traveling ionospheric disturbances of a realistic, dissipative atmosphere, J. Geophys. 78, 2278-2301.

David Fritts, M. Alexander (2003) Gravity wave dynamics and effects in the middle atmosphere. 41(1), 1003. https://doi.org/10.1029/2001rg000106

David Fritts, Thomas Lund (2011) Gravity Wave Influences in the Thermosphere and Ionosphere: Observations and Recent Modeling. 109-130. https://doi.org/10.1007/978-94-007-0326-1

B. Galperin, S. Sukoriansky, P. Anderson (2007) On the critical Richardson number in stably stratified turbulence, Atmos. Sci. 8, 6569.

T. Georges (1968) Acoustic-Gravity Waves in the Atmosphere, Symposium Proceedings.

A. Gill (1982) Atmosphere-ocean dynamics.

S. Goldstein (1931) On the instability of superposed streams of fluids of different densities. 132(820), 524-548. https://doi.org/10.1098/rspa.1931.0116

E. Gossard, W. Hooke (1975) Waves in the Atmosphere.

Earl Gossard, Walter Munk (1954) ON GRAVITY WAVES IN THE ATMOSPHERE. 11(4), 259-269. https://doi.org/10.1175/1520-0469(1954)011

I. Harris, W. Priester (1962) Time dependent structure of the upper atmosphere, J. Atmos. 19, 286-301.