On the Frequency of Internal Gravity Waves in the Atmosphere: Comparing Theory with Observations

This paper is devoted to the dynamics of the propagation of non-planetary scale internal gravity waves (IGWs) in the stratified atmosphere. We consider the system of equations describing internal gravity waves in three approximations: (1) the incompressible fluid approximation, (2) the anelastic gas...

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Главные авторы:	Zakinyan, R. G., Закинян, Р. Г., Svetlichny, V. A., Светличный, В. А., Zakinyan, A. R., Закинян, А. Р.
Формат:	Статья
Язык:	English
Опубликовано:	Multidisciplinary Digital Publishing Institute (MDPI) 2025
Темы:	Brunt–Väisälä frequency Taylor–Goldstein equation Dispersion relation Gravity wave breaking Internal gravity waves Phase velocity
Online-ссылка:	https://dspace.ncfu.ru/handle/123456789/29635
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spelling	ir-123456789-296352025-02-06T12:31:41Z On the Frequency of Internal Gravity Waves in the Atmosphere: Comparing Theory with Observations Zakinyan, R. G. Закинян, Р. Г. Svetlichny, V. A. Светличный, В. А. Zakinyan, A. R. Закинян, А. Р. Brunt–Väisälä frequency Taylor–Goldstein equation Dispersion relation Gravity wave breaking Internal gravity waves Phase velocity This paper is devoted to the dynamics of the propagation of non-planetary scale internal gravity waves (IGWs) in the stratified atmosphere. We consider the system of equations describing internal gravity waves in three approximations: (1) the incompressible fluid approximation, (2) the anelastic gas (compressible fluid) approximation, and (3) a new approximation called the non-Boussinesq gas approximation. For each approximation, a different dispersion relation is given, from which it follows that the oscillation frequency of internal gravity waves depends on the direction of propagation, the horizontal and vertical components of the wave vector, the vertical gradient of the background temperature, and the background wind shear. In each of the three cases, the maximum frequency of internal gravity waves is different. Moreover, in the anelastic gas approximation, the maximum frequency is equal to the Brunt–Väisälä buoyancy frequency, and in the incompressible fluid approximation, it is larger than the Brunt–Väisälä frequency by a factor of (Formula presented.). In the model proposed in this paper, the value of the maximum frequency of internal gravity waves occupies an intermediate position between the above limits. The question arises: which of the above fluid representations adequately describe the dynamics of internal gravity waves? This paper compares the above theories with observational data and experiments. 2025-02-06T12:30:23Z 2025-02-06T12:30:23Z 2025 Статья Zakinyan, R.G., Kamil, A.H., Svetlichny, V.A., Zakinyan, A.R. On the Frequency of Internal Gravity Waves in the Atmosphere: Comparing Theory with Observations // Atmosphere. - 2025. - 16 (1). - статья № 73. - DOI: 10.3390/atmos16010073 https://dspace.ncfu.ru/handle/123456789/29635 en Atmosphere application/pdf application/pdf Multidisciplinary Digital Publishing Institute (MDPI)
institution	СКФУ
collection	Репозиторий
language	English
topic	Brunt–Väisälä frequency Taylor–Goldstein equation Dispersion relation Gravity wave breaking Internal gravity waves Phase velocity
spellingShingle	Brunt–Väisälä frequency Taylor–Goldstein equation Dispersion relation Gravity wave breaking Internal gravity waves Phase velocity Zakinyan, R. G. Закинян, Р. Г. Svetlichny, V. A. Светличный, В. А. Zakinyan, A. R. Закинян, А. Р. On the Frequency of Internal Gravity Waves in the Atmosphere: Comparing Theory with Observations
description	This paper is devoted to the dynamics of the propagation of non-planetary scale internal gravity waves (IGWs) in the stratified atmosphere. We consider the system of equations describing internal gravity waves in three approximations: (1) the incompressible fluid approximation, (2) the anelastic gas (compressible fluid) approximation, and (3) a new approximation called the non-Boussinesq gas approximation. For each approximation, a different dispersion relation is given, from which it follows that the oscillation frequency of internal gravity waves depends on the direction of propagation, the horizontal and vertical components of the wave vector, the vertical gradient of the background temperature, and the background wind shear. In each of the three cases, the maximum frequency of internal gravity waves is different. Moreover, in the anelastic gas approximation, the maximum frequency is equal to the Brunt–Väisälä buoyancy frequency, and in the incompressible fluid approximation, it is larger than the Brunt–Väisälä frequency by a factor of (Formula presented.). In the model proposed in this paper, the value of the maximum frequency of internal gravity waves occupies an intermediate position between the above limits. The question arises: which of the above fluid representations adequately describe the dynamics of internal gravity waves? This paper compares the above theories with observational data and experiments.
format	Статья
author	Zakinyan, R. G. Закинян, Р. Г. Svetlichny, V. A. Светличный, В. А. Zakinyan, A. R. Закинян, А. Р.
author_facet	Zakinyan, R. G. Закинян, Р. Г. Svetlichny, V. A. Светличный, В. А. Zakinyan, A. R. Закинян, А. Р.
author_sort	Zakinyan, R. G.
title	On the Frequency of Internal Gravity Waves in the Atmosphere: Comparing Theory with Observations
title_short	On the Frequency of Internal Gravity Waves in the Atmosphere: Comparing Theory with Observations
title_full	On the Frequency of Internal Gravity Waves in the Atmosphere: Comparing Theory with Observations
title_fullStr	On the Frequency of Internal Gravity Waves in the Atmosphere: Comparing Theory with Observations
title_full_unstemmed	On the Frequency of Internal Gravity Waves in the Atmosphere: Comparing Theory with Observations
title_sort	on the frequency of internal gravity waves in the atmosphere: comparing theory with observations
publisher	Multidisciplinary Digital Publishing Institute (MDPI)
publishDate	2025
url	https://dspace.ncfu.ru/handle/123456789/29635
work_keys_str_mv	AT zakinyanrg onthefrequencyofinternalgravitywavesintheatmospherecomparingtheorywithobservations AT zakinânrg onthefrequencyofinternalgravitywavesintheatmospherecomparingtheorywithobservations AT svetlichnyva onthefrequencyofinternalgravitywavesintheatmospherecomparingtheorywithobservations AT svetličnyjva onthefrequencyofinternalgravitywavesintheatmospherecomparingtheorywithobservations AT zakinyanar onthefrequencyofinternalgravitywavesintheatmospherecomparingtheorywithobservations AT zakinânar onthefrequencyofinternalgravitywavesintheatmospherecomparingtheorywithobservations
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On the Frequency of Internal Gravity Waves in the Atmosphere: Comparing Theory with Observations

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