Counterpropagating Rossby waves and barotropic instability

A novel attempt is made to quantify the qualitative interpretation of barotropic instability in terms of counterpropagating Rosssby waves (CRW) as proposed by Hoskins et al. (1985). Although many investigations have been devoted to this quantification in the past, a minimum resolution grid point mod...

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Main Author: Joseph Egger
Format: Article
Language:English
Published: Borntraeger 2007-10-01
Series:Meteorologische Zeitschrift
Online Access:http://dx.doi.org/10.1127/0941-2948/2007/0239
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author Joseph Egger
author_facet Joseph Egger
author_sort Joseph Egger
collection DOAJ
description A novel attempt is made to quantify the qualitative interpretation of barotropic instability in terms of counterpropagating Rosssby waves (CRW) as proposed by Hoskins et al. (1985). Although many investigations have been devoted to this quantification in the past, a minimum resolution grid point model is chosen here as a tool where complete insight can be achieved with little effort. Barotropic instability is discussed in terms of standard gridpoint modes and also of vorticity modes which are the analogue of the CRWs. The intercomparison of both approaches leads to a fresh look at the mechanism of barotropic instability. It is pointed out that CRWs cannot be defined in a corresponding low-order spectral model although this model is quite successful in capturing the main features of barotropic instability. It is concluded that CRWs are mathematical structures which are helpful but not essential for an understanding of barotropic instability.
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spelling doaj.art-08a0546697fa4430bca4122cc99ae8e72024-02-02T14:47:13ZengBorntraegerMeteorologische Zeitschrift0941-29482007-10-0116558158510.1127/0941-2948/2007/023956050Counterpropagating Rossby waves and barotropic instabilityJoseph EggerA novel attempt is made to quantify the qualitative interpretation of barotropic instability in terms of counterpropagating Rosssby waves (CRW) as proposed by Hoskins et al. (1985). Although many investigations have been devoted to this quantification in the past, a minimum resolution grid point model is chosen here as a tool where complete insight can be achieved with little effort. Barotropic instability is discussed in terms of standard gridpoint modes and also of vorticity modes which are the analogue of the CRWs. The intercomparison of both approaches leads to a fresh look at the mechanism of barotropic instability. It is pointed out that CRWs cannot be defined in a corresponding low-order spectral model although this model is quite successful in capturing the main features of barotropic instability. It is concluded that CRWs are mathematical structures which are helpful but not essential for an understanding of barotropic instability.http://dx.doi.org/10.1127/0941-2948/2007/0239
spellingShingle Joseph Egger
Counterpropagating Rossby waves and barotropic instability
Meteorologische Zeitschrift
title Counterpropagating Rossby waves and barotropic instability
title_full Counterpropagating Rossby waves and barotropic instability
title_fullStr Counterpropagating Rossby waves and barotropic instability
title_full_unstemmed Counterpropagating Rossby waves and barotropic instability
title_short Counterpropagating Rossby waves and barotropic instability
title_sort counterpropagating rossby waves and barotropic instability
url http://dx.doi.org/10.1127/0941-2948/2007/0239
work_keys_str_mv AT josephegger counterpropagatingrossbywavesandbarotropicinstability