Introduction to averaging over fast waves for geophysical flows

Keyword(s):  
1996 ◽  
Author(s):  
Donald P. Delisi ◽  
Robert E. Robins
Keyword(s):  

Author(s):  
Vladimir Zeitlin

After analysis of general properties of horizontal motion in primitive equations and introduction of principal parameters, the key notion of geostrophic equilibrium is introduced. Quasi-geostrophic reductions of one- and two-layer rotating shallow-water models are obtained by a direct filtering of fast inertia–gravity waves through a choice of the time scale of motions of interest, and by asymptotic expansions in Rossby number. Properties of quasi-geostrophic models are established. It is shown that in the beta-plane approximations the models describe Rossby waves. The first idea of the classical baroclinic instability is given, and its relation to Rossby waves is explained. Modifications of quasi-geostrophic dynamics in the presence of coastal, topographic, and equatorial wave-guides are analysed. Emission of mountain Rossby waves by a flow over topography is demonstrated. The phenomena of Kelvin wave breaking, and of soliton formation by long equatorial and topographic Rossby waves due to nonlinear effects are explained.


1996 ◽  
Vol 77 (15) ◽  
pp. 3141-3144 ◽  
Author(s):  
C. B. Forest ◽  
C. C. Petty ◽  
M. E. Austin ◽  
F. W. Baity ◽  
K. H. Burrell ◽  
...  

2013 ◽  
Vol 25 (8) ◽  
pp. 086602 ◽  
Author(s):  
G. Di Nitto ◽  
S. Espa ◽  
A. Cenedese

2021 ◽  
Author(s):  
Aakash Sane ◽  
Baylor Fox-Kemper ◽  
David Ullman

2008 ◽  
Vol T132 ◽  
pp. 014033 ◽  
Author(s):  
T J O'Kane ◽  
J S Frederiksen

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