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Sideband instabilities of mixed barotropic/baroclinic waves growing on a midlatitude zonal jet

 

作者: Paul C. F. van der Vaart,   Henk A. Dijkstra,  

 

期刊: Physics of Fluids  (AIP Available online 1997)
卷期: Volume 9, issue 3  

页码: 615-631

 

ISSN:1070-6631

 

年代: 1997

 

DOI:10.1063/1.869221

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The instability of an arbitrarily shaped zonal jet on a midlatitude&bgr;-plane is considered within a two-layer quasi-geostrophic model withO(1)linear friction. Depending on the horizontal and vertical shear of the jet, it is susceptible to both barotropic and baroclinic instabilities. The linear stability boundaries are determined numerically for a parameter regime relevant to the Gulfstream. The weakly nonlinear (finite amplitude) evolution of the instabilities is shown to be governed by a Ginzburg-Landau equation and for arbitrary jet shapes the coefficients in this equation are computed numerically. The finite amplitude state is shown to become unstable to Benjamin-Feir sideband instabilities. The mixed baroclinic/barotropic character of the primary instability is crucial to this sideband instability which is shown to lead to complicated spatio-temporal behavior of the jet. ©1997 American Institute of Physics.

 

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