Propagation properties of inertia-gravity waves through a barotropic shear layer and application to the Antarctic polar vortex
The propagation of inertia-gravity waves through a dynamical transport barrier, such as the Antarctic polar vortex edge is investigated using a linear wave model. The model is based on the linearized, inviscid hydrostatic equations on an f-plane. Typical values for the parameters that are appropriat...
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ftuniveindhoven:oai:library.tue.nl:646158 2023-05-15T13:56:31+02:00 Propagation properties of inertia-gravity waves through a barotropic shear layer and application to the Antarctic polar vortex Öllers, Michel C Kamp, LPJ Leon Lott, F Velthoven, Peter FJ Van Kelder, H Hennie Sluijter, FW Frans 2003 application/pdf http://repository.tue.nl/646158 en eng Copyright (c) Öllers, Michel C Copyright (c) Kamp, LPJ Leon Copyright (c) Lott, F Copyright (c) Velthoven, Peter FJ Van Copyright (c) Kelder, H Hennie Copyright (c) Sluijter, FW Frans ISSN:0035-9009 Article / Letter to the editor 2003 ftuniveindhoven 2018-12-26T13:35:06Z The propagation of inertia-gravity waves through a dynamical transport barrier, such as the Antarctic polar vortex edge is investigated using a linear wave model. The model is based on the linearized, inviscid hydrostatic equations on an f-plane. Typical values for the parameters that are appropriate to the Antarctic polar vortex are given. The background flow U is assumed to be barotropic and its horizontal shear is represented by a hyperbolic tangent background wind profile. The wave equation that describes the latitudinal structure of a monochromatic disturbance contains two singularities. The first corresponds to the occurrence of a critical level where the intrinsic wave frequency Omega = omega - kU becomes zero, omega is the absolute wave frequency and k its longitudinal wave number in the direction of U. The second is an apparent singularity and does not give rise to singular wave behaviour. It becomes zero whenever the square of the intrinsic wave frequency Omega /sup 2/ = f(f - U/sub y/), f being the Coriolis frequency and U/sub y/ the horizontal shear of the flow. The wave equation is solved numerically for different values of the angles of incidence of the wave upon the background flow, of the wave frequency, of the horizontal wave number and of the Rossby number. Reflection (|R|) and transmission (|T|) coefficients are determined as a function of these parameters. The results depend on whether the flow is inertially stable or not. They also depend on the presence and location of the turning levels, where the wave becomes evanescent, with respect to the location of the Q-critical levels. For inertially stable flows, the wave totally reflects at the turning level and never reaches the critical level. If the background flow is inertially unstable, turning levels can disappear and the wave can now reach the critical level. Then over-reflection, over-transmission and absorption can occur Article in Journal/Newspaper Antarc* Antarctic Eindhoven University of Technology (TU/e): Research Portal Antarctic The Antarctic |
institution |
Open Polar |
collection |
Eindhoven University of Technology (TU/e): Research Portal |
op_collection_id |
ftuniveindhoven |
language |
English |
description |
The propagation of inertia-gravity waves through a dynamical transport barrier, such as the Antarctic polar vortex edge is investigated using a linear wave model. The model is based on the linearized, inviscid hydrostatic equations on an f-plane. Typical values for the parameters that are appropriate to the Antarctic polar vortex are given. The background flow U is assumed to be barotropic and its horizontal shear is represented by a hyperbolic tangent background wind profile. The wave equation that describes the latitudinal structure of a monochromatic disturbance contains two singularities. The first corresponds to the occurrence of a critical level where the intrinsic wave frequency Omega = omega - kU becomes zero, omega is the absolute wave frequency and k its longitudinal wave number in the direction of U. The second is an apparent singularity and does not give rise to singular wave behaviour. It becomes zero whenever the square of the intrinsic wave frequency Omega /sup 2/ = f(f - U/sub y/), f being the Coriolis frequency and U/sub y/ the horizontal shear of the flow. The wave equation is solved numerically for different values of the angles of incidence of the wave upon the background flow, of the wave frequency, of the horizontal wave number and of the Rossby number. Reflection (|R|) and transmission (|T|) coefficients are determined as a function of these parameters. The results depend on whether the flow is inertially stable or not. They also depend on the presence and location of the turning levels, where the wave becomes evanescent, with respect to the location of the Q-critical levels. For inertially stable flows, the wave totally reflects at the turning level and never reaches the critical level. If the background flow is inertially unstable, turning levels can disappear and the wave can now reach the critical level. Then over-reflection, over-transmission and absorption can occur |
format |
Article in Journal/Newspaper |
author |
Öllers, Michel C Kamp, LPJ Leon Lott, F Velthoven, Peter FJ Van Kelder, H Hennie Sluijter, FW Frans |
spellingShingle |
Öllers, Michel C Kamp, LPJ Leon Lott, F Velthoven, Peter FJ Van Kelder, H Hennie Sluijter, FW Frans Propagation properties of inertia-gravity waves through a barotropic shear layer and application to the Antarctic polar vortex |
author_facet |
Öllers, Michel C Kamp, LPJ Leon Lott, F Velthoven, Peter FJ Van Kelder, H Hennie Sluijter, FW Frans |
author_sort |
Öllers, Michel C |
title |
Propagation properties of inertia-gravity waves through a barotropic shear layer and application to the Antarctic polar vortex |
title_short |
Propagation properties of inertia-gravity waves through a barotropic shear layer and application to the Antarctic polar vortex |
title_full |
Propagation properties of inertia-gravity waves through a barotropic shear layer and application to the Antarctic polar vortex |
title_fullStr |
Propagation properties of inertia-gravity waves through a barotropic shear layer and application to the Antarctic polar vortex |
title_full_unstemmed |
Propagation properties of inertia-gravity waves through a barotropic shear layer and application to the Antarctic polar vortex |
title_sort |
propagation properties of inertia-gravity waves through a barotropic shear layer and application to the antarctic polar vortex |
publishDate |
2003 |
url |
http://repository.tue.nl/646158 |
geographic |
Antarctic The Antarctic |
geographic_facet |
Antarctic The Antarctic |
genre |
Antarc* Antarctic |
genre_facet |
Antarc* Antarctic |
op_source |
ISSN:0035-9009 |
op_rights |
Copyright (c) Öllers, Michel C Copyright (c) Kamp, LPJ Leon Copyright (c) Lott, F Copyright (c) Velthoven, Peter FJ Van Copyright (c) Kelder, H Hennie Copyright (c) Sluijter, FW Frans |
_version_ |
1766264024057511936 |