scholarly journals Geostrophic adjustment on the equatorial beta-plane revisited

2019 ◽  
Vol 31 (8) ◽  
pp. 081702 ◽  
Author(s):  
M. Rostami ◽  
V. Zeitlin
Keyword(s):  
Geostrophic Adjustment ◽  
Beta Plane

Getting Rid of Fast Waves: Slow Dynamics

2018 ◽  
Author(s):  
Vladimir Zeitlin
Keyword(s):  
Rossby Waves ◽  
Baroclinic Instability ◽  
Nonlinear Effects ◽  
Kelvin Wave ◽  
Beta Plane ◽  
Equatorial Wave ◽  
Flow Over Topography ◽  
Wave Guides ◽  
Rotating Shallow Water ◽  
Fast Waves

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.

Steadily translating anticyclones on the beta plane

1992 ◽  
Vol 16 (6) ◽  
pp. 473-498 ◽  
Author(s):  
J. Nycander ◽  
G.G. Sutyrin
Keyword(s):  
Beta Plane

scholarly journals Numerical Simulations of a Gravity Wave Event over CCOPE. Part I: The Role of Geostrophic Adjustment in Mesoscale Jetlet Formation

1997 ◽  
Vol 125 (6) ◽  
pp. 1185-1211 ◽  
Author(s):  
Michael L. Kaplan ◽  
Steven E. Koch ◽  
Yuh-Lang Lin ◽  
Ronald P. Weglarz ◽  
Robert A. Rozumalski
Keyword(s):  
Numerical Simulations ◽  
Gravity Wave ◽  
Geostrophic Adjustment ◽  
Wave Event

Recirculation Gyres Forced by a Beta-Plane Jet

1996 ◽  
Vol 26 (4) ◽  
pp. 492-504 ◽  
Author(s):  
Steven R. Jayne ◽  
Nelson G. Hogg ◽  
Paola Malanotte-Rizzoli
Keyword(s):  
Beta Plane ◽  
Recirculation Gyres ◽  
Plane Jet

Constant Vorticity Ekman Flows in the $$\beta $$-Plane Approximation

2021 ◽  
Vol 23 (3) ◽  
Author(s):  
JinRong Wang ◽  
Michal Fečkan ◽  
Yi Guan
Keyword(s):  
Constant Vorticity ◽  
Beta Plane

scholarly journals Rossby wave radiation by an eddy on a beta-plane: Experiments with laboratory altimetry

2015 ◽  
Vol 27 (7) ◽  
pp. 076604 ◽  
Author(s):  
Y. Zhang ◽  
Y. D. Afanasyev
Keyword(s):  
Rossby Wave ◽  
Wave Radiation ◽  
Beta Plane

scholarly journals Propagation of Rossby waves in stratified shear flows

1989 ◽  
Vol 12 (3) ◽  
pp. 547-557
Author(s):  
Palani G. Kandaswamy ◽  
B. Tamil Selvi ◽  
Lokenath Debnath
Keyword(s):  
Wave Equation ◽  
Relative Frequency ◽  
Shear Flows ◽  
Rossby Waves ◽  
Zonal Flow ◽  
Single Wave ◽  
Beta Plane ◽  
Valve Effect ◽  
The Waves ◽  
Isothermal Atmosphere

A study is made of the propagation of Rossby waves in a stably stratified shear flows. The wave equation for the Rossby waves is derived in an isothermal atmosphere on a beta plane in the presence of a latitudinally sheared zonal flow. It is shown that the wave equation is singular at five critical levels, but the wave absorption takes place only at the two levels where the local relative frequency equals in magnitude to the Brunt Vaisala frequency. This analysis also reveals that these two levels exhibit valve effect by allowing the waves to penetrate them from one side only. The absorption coefficient exp(2πμ)is determined at these levels. Both the group velocity approach and single wave treatment are employed for the investigation of the problem.

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