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The stability of a two-dimensional steady-state flow: Local growth of perturbations

 

作者: John Fyfe,   Jacques Derome,  

 

期刊: Geophysical & Astrophysical Fluid Dynamics  (Taylor Available online 1987)
卷期: Volume 39, issue 4  

页码: 261-294

 

ISSN:0309-1929

 

年代: 1987

 

DOI:10.1080/03091928708208814

 

出版商: Taylor & Francis Group

 

关键词: Barotropic flows;stability;topographic effects

 

数据来源: Taylor

 

摘要:

The linear instability of a weakly non-zonal barotropic flow is investigated numerically using the spectral method and analytically via WKB theory. The basic steady-state is the consequence of the interaction of a constant mean zonal wind and a sinusoidal topography. The (numerically determined) slowest growing eigenmode is stationary, on the scale of the topography and depends crucially on a form drag mechanism. The fastest growing eigenmode, on the other hand, does not involve a form drag mechanism but depends rather on the presence of local shears inherent in the basic flow itself. A large part of the discussion involves an analysis of the structure and energetics of the fastest growing eigenmode.

 

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