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Nonlinear evolution of spatially growing baroclinic waves

 

作者: TerrenceR. Nathan,  

 

期刊: Geophysical & Astrophysical Fluid Dynamics  (Taylor Available online 1993)
卷期: Volume 68, issue 1-4  

页码: 15-35

 

ISSN:0309-1929

 

年代: 1993

 

DOI:10.1080/03091929308203560

 

出版商: Taylor & Francis Group

 

关键词: Baroclinic instability;nonlinear spatial instability

 

数据来源: Taylor

 

摘要:

The linear and weakly nonlinear stability characteristics of spatially growing, long, low frequency baroclinic waves are examined in a continuous atmosphere on a midlatitude β-plane channel in the presence of Ekman friction and Newtonian cooling (NC). Under the assumption that the damping mechanisms are sufficiently weak, the linear spatial instability problem is solved analytically and explicit expressions for the zonal wavenumber and spatial growth rate are obtained. The expressions show that Ekman damping is stabilizing whereas NC is destabilizing. The tendency of NC to dominate over Ekman damping increases linearly with frequency and β, and quadratically with reduction in zonal wind at the surface. The zonal wavelength of the disturbance is affected only by the flow supercriticality and NC, which always oppose each other; increasing the NC (supercriticality) increases (decreases) the zonal wavelength.

 

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