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The instability of finite amplitude Rossby waves on the infinite beta-plane

 

作者: JeffreyL. Anderson,  

 

期刊: Geophysical & Astrophysical Fluid Dynamics  (Taylor Available online 1992)
卷期: Volume 63, issue 1-4  

页码: 1-27

 

ISSN:0309-1929

 

年代: 1992

 

DOI:10.1080/03091929208228276

 

出版商: Taylor & Francis Group

 

关键词: Barotropic instability;Rossby waves;beta-plane

 

数据来源: Taylor

 

摘要:

The normal mode instability problem for a stationary Rossby wave of finite amplitude and arbitrary orientation is examined on the infinite beta-plane using a Floquet technique. A survey of the instability problem as a function of the basic state wave amplitude and wave orientation is presented. In the large amplitude case, two modes of instability are found, while in the small amplitude case, a family of resonant interactions can completely describe the Floquet results. For intermediate values of amplitude, a combination of the large and small amplitude limits can explain the instabilities. For the range of greatest geophysical interest, two physically distinct unstable modes of approximately equal growth rate are available for certain values of the basic state wave orientation. Relevance to geophysical flows and the instability problem on the sphere are discussed briefly.

 

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