Propagation properties of inertia–gravity waves through a barotropic shear layer and application to the Antarctic polar vortex
The propagation of inertia–gravity waves (IGWs) 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 app...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.572.525 2023-05-15T13:55:43+02:00 Propagation properties of inertia–gravity waves through a barotropic shear layer and application to the Antarctic polar vortex M. C. Öllers L. P. J. Kamp F. Lott P. F. J. Van Velthoven H. M. Kelder F. W. Sluijter The Pennsylvania State University CiteSeerX Archives 2002 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.572.525 http://www.lmd.jussieu.fr/~flott/articles/QJ_03.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.572.525 http://www.lmd.jussieu.fr/~flott/articles/QJ_03.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://www.lmd.jussieu.fr/~flott/articles/QJ_03.pdf text 2002 ftciteseerx 2016-01-08T12:35:47Z The propagation of inertia–gravity waves (IGWs) 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 ow U is assumed to be barotropic and its horizontal shear is represented by a hyperbolic tangent background wind pro le. The wave equation that describes the latitudinal structure of a monochromatic disturbance contains two singularities. The rst corresponds to the occurrence of a critical level where the intrinsic wave frequency Ä D! ¡ kU becomes zero.! 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 Ä2 D f.f ¡ Uy /, f being the Coriolis frequency and Uy the horizontal shear of the ow. The wave equation is solved numerically for different values of the angles of incidence of the wave upon the background ow, of the wave frequency, of the horizontal wave number and of the Rossby number. Re ection (jRj) and transmission (jT j) coef cients are determined as a function of these parameters. The results depend on whether the ow 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 Ä-critical levels. For inertially stable ows, the wave totally re ects at the turning Text Antarc* Antarctic Unknown Antarctic The Antarctic |
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English |
description |
The propagation of inertia–gravity waves (IGWs) 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 ow U is assumed to be barotropic and its horizontal shear is represented by a hyperbolic tangent background wind pro le. The wave equation that describes the latitudinal structure of a monochromatic disturbance contains two singularities. The rst corresponds to the occurrence of a critical level where the intrinsic wave frequency Ä D! ¡ kU becomes zero.! 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 Ä2 D f.f ¡ Uy /, f being the Coriolis frequency and Uy the horizontal shear of the ow. The wave equation is solved numerically for different values of the angles of incidence of the wave upon the background ow, of the wave frequency, of the horizontal wave number and of the Rossby number. Re ection (jRj) and transmission (jT j) coef cients are determined as a function of these parameters. The results depend on whether the ow 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 Ä-critical levels. For inertially stable ows, the wave totally re ects at the turning |
author2 |
The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
M. C. Öllers L. P. J. Kamp F. Lott P. F. J. Van Velthoven H. M. Kelder F. W. Sluijter |
spellingShingle |
M. C. Öllers L. P. J. Kamp F. Lott P. F. J. Van Velthoven H. M. Kelder F. W. Sluijter Propagation properties of inertia–gravity waves through a barotropic shear layer and application to the Antarctic polar vortex |
author_facet |
M. C. Öllers L. P. J. Kamp F. Lott P. F. J. Van Velthoven H. M. Kelder F. W. Sluijter |
author_sort |
M. C. Öllers |
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 |
2002 |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.572.525 http://www.lmd.jussieu.fr/~flott/articles/QJ_03.pdf |
geographic |
Antarctic The Antarctic |
geographic_facet |
Antarctic The Antarctic |
genre |
Antarc* Antarctic |
genre_facet |
Antarc* Antarctic |
op_source |
http://www.lmd.jussieu.fr/~flott/articles/QJ_03.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.572.525 http://www.lmd.jussieu.fr/~flott/articles/QJ_03.pdf |
op_rights |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
_version_ |
1766262541485342720 |