Instability and flow over topography

作者: Geoffrey K. Vallis

DOI: 10.1080/03091928508245436

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摘要: Abstract The stability of quasi-geostrophic β-plane flow over topography is examined. approach to first calculate the stationary, asymmetric response a uniform zonal current flowing topography, and then properties total, zonally asymmetric, field. Under many circumstances this unstable, barotropically or baroclinically particularly if large amplitude. This demonstrated using long-wave approximation, which examines with respect perturbations meridional scale. So-called form-drag instability ensues. may be thought as special, nonlocal, form isosceles triad interaction involving interacting another “free” mode topographic For consisting single Fourier mode, arises only eastward exceeds that required for resonance. However, in general other triads exist th...

参考文章(19)
S Pierini, A Vulpiani, Nonlinear stability analysis in multilayer quasigeostrophic systems Journal of Physics A. ,vol. 14, ,(1981) , 10.1088/0305-4470/14/5/019
John O. Roads, Stable Near-Resonant States Forced by Orography in a Simple Baroclinic Model. Journal of the Atmospheric Sciences. ,vol. 37, pp. 2381- 2395 ,(1980) , 10.1175/1520-0469(1980)037<2381:SNRSFB>2.0.CO;2
Jule G. Charney, John G. DeVore, Multiple Flow Equilibria in the Atmosphere and Blocking Journal of the Atmospheric Sciences. ,vol. 36, pp. 1205- 1216 ,(1979) , 10.1175/1520-0469(1979)036<1205:MFEITA>2.0.CO;2
A.E. Gill, The stability of planetary waves on an infinite beta‐plane Geophysical and Astrophysical Fluid Dynamics. ,vol. 6, pp. 29- 47 ,(1974) , 10.1080/03091927409365786
S. A. Coaker, The stability of a Rossby wave Geophysical & Astrophysical Fluid Dynamics. ,vol. 9, pp. 1- 17 ,(1977) , 10.1080/03091927708242314
Joseph Pedlosky, Resonant Topographic Waves in Barotropic and Baroclinic Flows Journal of the Atmospheric Sciences. ,vol. 38, pp. 2626- 2641 ,(1981) , 10.1175/1520-0469(1981)038<2626:RTWIBA>2.0.CO;2
Vladimir I. Arnold, Conditions for non-linear stability of stationary plane curvilinear flows of an ideal fluid Vladimir I. Arnold - Collected Works. pp. 19- 23 ,(1965) , 10.1007/978-3-642-31031-7_4
Darryl D. Holm, Jerrold E. Marsden, Tudor Ratiu, Alan Weinstein, Nonlinear stability of fluid and plasma equilibria Physics Reports. ,vol. 123, pp. 1- 116 ,(1985) , 10.1016/0370-1573(85)90028-6