Various approximations of mathematical models of internal gravity waves in the stratified atmosphere

Two new mathematical models describing the propagation of internal gravity waves (IGWs) in a stratified atmosphere are proposed in this paper. The first model is called the non-Boussinesq gas approximation. It differs from the well-known incompressible fluid model in that the dynamics of the buoyanc...

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Главные авторы:	Zakinyan, R. G., Закинян, Р. Г., Svetlichny, V. A., Светличный, В. А., Zakinyan, A. R., Закинян, А. Р.
Formato:	Статья
Idioma:	English
Publicado em:	American Institute of Physics 2025
Assuntos:	Acoustics Adiabatic approximations Buoyancy Aerodynamics Dispersion (waves) Dispersions Fluids Heat conduction Incompressible flow Upper Atmosphere
Acesso em linha:	https://dspace.ncfu.ru/handle/123456789/31855
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spelling	ir-123456789-318552025-08-13T13:21:21Z Various approximations of mathematical models of internal gravity waves in the stratified atmosphere Zakinyan, R. G. Закинян, Р. Г. Svetlichny, V. A. Светличный, В. А. Zakinyan, A. R. Закинян, А. Р. Acoustics Adiabatic approximations Buoyancy Aerodynamics Dispersion (waves) Dispersions Fluids Heat conduction Incompressible flow Upper Atmosphere Two new mathematical models describing the propagation of internal gravity waves (IGWs) in a stratified atmosphere are proposed in this paper. The first model is called the non-Boussinesq gas approximation. It differs from the well-known incompressible fluid model in that the dynamics of the buoyancy force is not described by the continuity equation but by the heat conduction equation. The obtained dispersion relation differs from the dispersion relations in the incompressible fluid and anelastic gas approximations. In the second proposed model, called the general model, we abandon the Boussinesq approximation, and the system of equations includes both the continuity equation with density disturbance and the heat conduction equation. The analysis of the proposed model has shown that in the general case the maximum frequency of IGW's oscillations is equal to the Brunt-Väisälä buoyancy frequency, i.e., the results coincide with the results of the compressible fluid approximation (adiabatic approximation). However, the fundamental difference of our model is that the amplitude of acoustic waves in the adiabatic approximation decays with height, whereas in the general case it grows with height. 2025-08-13T13:19:15Z 2025-08-13T13:19:15Z 2025 Статья Zakinyan, R. G., Kamil, A. H., Svetlichny, V. A., Zakinyan, A. R. Various approximations of mathematical models of internal gravity waves in the stratified atmosphere // Physics of Fluids. - 2025. - 37 (7). - art. no. 076636. - DOI: 10.10 63/5.0274405 https://dspace.ncfu.ru/handle/123456789/31855 en Physics of Fluids application/pdf application/pdf American Institute of Physics
institution	СКФУ
collection	Репозиторий
language	English
topic	Acoustics Adiabatic approximations Buoyancy Aerodynamics Dispersion (waves) Dispersions Fluids Heat conduction Incompressible flow Upper Atmosphere
spellingShingle	Acoustics Adiabatic approximations Buoyancy Aerodynamics Dispersion (waves) Dispersions Fluids Heat conduction Incompressible flow Upper Atmosphere Zakinyan, R. G. Закинян, Р. Г. Svetlichny, V. A. Светличный, В. А. Zakinyan, A. R. Закинян, А. Р. Various approximations of mathematical models of internal gravity waves in the stratified atmosphere
description	Two new mathematical models describing the propagation of internal gravity waves (IGWs) in a stratified atmosphere are proposed in this paper. The first model is called the non-Boussinesq gas approximation. It differs from the well-known incompressible fluid model in that the dynamics of the buoyancy force is not described by the continuity equation but by the heat conduction equation. The obtained dispersion relation differs from the dispersion relations in the incompressible fluid and anelastic gas approximations. In the second proposed model, called the general model, we abandon the Boussinesq approximation, and the system of equations includes both the continuity equation with density disturbance and the heat conduction equation. The analysis of the proposed model has shown that in the general case the maximum frequency of IGW's oscillations is equal to the Brunt-Väisälä buoyancy frequency, i.e., the results coincide with the results of the compressible fluid approximation (adiabatic approximation). However, the fundamental difference of our model is that the amplitude of acoustic waves in the adiabatic approximation decays with height, whereas in the general case it grows with height.
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	Various approximations of mathematical models of internal gravity waves in the stratified atmosphere
title_short	Various approximations of mathematical models of internal gravity waves in the stratified atmosphere
title_full	Various approximations of mathematical models of internal gravity waves in the stratified atmosphere
title_fullStr	Various approximations of mathematical models of internal gravity waves in the stratified atmosphere
title_full_unstemmed	Various approximations of mathematical models of internal gravity waves in the stratified atmosphere
title_sort	various approximations of mathematical models of internal gravity waves in the stratified atmosphere
publisher	American Institute of Physics
publishDate	2025
url	https://dspace.ncfu.ru/handle/123456789/31855
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Various approximations of mathematical models of internal gravity waves in the stratified atmosphere

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