A study of the phase instability of quasi-geostrophic Rossby waves on the infinite β-plane to zonal flow perturbations
The problem of the linear instability of quasi-geostrophic Rossby waves to zonal flow perturbations is investigated on an infinite β-plane using a phase dynamics formalism. Equations governing the coupled evolutions of a zonal velocity perturbation and phase and amplitude perturbations of a finite-a...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2010-02-01
|
| Series: | Nonlinear Processes in Geophysics |
| Online Access: | http://www.nonlin-processes-geophys.net/17/49/2010/npg-17-49-2010.pdf |
| id |
doaj-fab63c9e268141109157555a0121edac |
|---|---|
| record_format |
Article |
| spelling |
doaj-fab63c9e268141109157555a0121edac2020-11-25T01:23:54ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462010-02-011714963A study of the phase instability of quasi-geostrophic Rossby waves on the infinite β-plane to zonal flow perturbationsL. MariéThe problem of the linear instability of quasi-geostrophic Rossby waves to zonal flow perturbations is investigated on an infinite β-plane using a phase dynamics formalism. Equations governing the coupled evolutions of a zonal velocity perturbation and phase and amplitude perturbations of a finite-amplitude wave are obtained. The analysis is valid in the limit of infinitesimal, zonally invariant perturbation components, varying slowly in the meridional direction and with respect to time. In the case of a slow sinusoidal meridional variation of the perturbation components, analytical expressions for the perturbation growth rates are obtained, which are checked against numerical codes based on standard Floquet theory. http://www.nonlin-processes-geophys.net/17/49/2010/npg-17-49-2010.pdf |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
L. Marié |
| spellingShingle |
L. Marié A study of the phase instability of quasi-geostrophic Rossby waves on the infinite β-plane to zonal flow perturbations Nonlinear Processes in Geophysics |
| author_facet |
L. Marié |
| author_sort |
L. Marié |
| title |
A study of the phase instability of quasi-geostrophic Rossby waves on the infinite β-plane to zonal flow perturbations |
| title_short |
A study of the phase instability of quasi-geostrophic Rossby waves on the infinite β-plane to zonal flow perturbations |
| title_full |
A study of the phase instability of quasi-geostrophic Rossby waves on the infinite β-plane to zonal flow perturbations |
| title_fullStr |
A study of the phase instability of quasi-geostrophic Rossby waves on the infinite β-plane to zonal flow perturbations |
| title_full_unstemmed |
A study of the phase instability of quasi-geostrophic Rossby waves on the infinite β-plane to zonal flow perturbations |
| title_sort |
study of the phase instability of quasi-geostrophic rossby waves on the infinite β-plane to zonal flow perturbations |
| publisher |
Copernicus Publications |
| series |
Nonlinear Processes in Geophysics |
| issn |
1023-5809 1607-7946 |
| publishDate |
2010-02-01 |
| description |
The problem of the linear instability of quasi-geostrophic Rossby waves to zonal flow perturbations is investigated on an infinite β-plane using a phase dynamics formalism. Equations governing the coupled evolutions of a zonal velocity perturbation and phase and amplitude perturbations of a finite-amplitude wave are obtained. The analysis is valid in the limit of infinitesimal, zonally invariant perturbation components, varying slowly in the meridional direction and with respect to time. In the case of a slow sinusoidal meridional variation of the perturbation components, analytical expressions for the perturbation growth rates are obtained, which are checked against numerical codes based on standard Floquet theory. |
| url |
http://www.nonlin-processes-geophys.net/17/49/2010/npg-17-49-2010.pdf |
| work_keys_str_mv |
AT lmarie astudyofthephaseinstabilityofquasigeostrophicrossbywavesontheinfinitebplanetozonalflowperturbations AT lmarie studyofthephaseinstabilityofquasigeostrophicrossbywavesontheinfinitebplanetozonalflowperturbations |
| _version_ |
1725120076465569792 |