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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