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Diabatic Rossby waves in the Southern Hemisphere
Quarterly Journal of the Royal Meteorological Society, 2015Diabatic Rossby waves (DRWs) are a special type of low‐level cyclone with a self‐maintaining mechanism given an environment of moderate or strong baroclinicity and abundant moisture. Under certain conditions, these shallow cyclones associated with a cyclonic low‐level PV anomaly can serve as precursors for explosive cyclone intensification. The present
Boettcher, Maxi, Wernli, Heini
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Geophysical & Astrophysical Fluid Dynamics, 1994
Abstract An analytical spectral model of the barotropic divergent equations on a sphere is developed using the potential-stream function formulation and the normal modes as basic functions. Explicit expressions of the coefficients of nonlinear interaction are obtained in the asymptotic case of a slowly rotating sphere, i.e. when the normal modes can be
Jacques Vanneste, Francois Vial
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Abstract An analytical spectral model of the barotropic divergent equations on a sphere is developed using the potential-stream function formulation and the normal modes as basic functions. Explicit expressions of the coefficients of nonlinear interaction are obtained in the asymptotic case of a slowly rotating sphere, i.e. when the normal modes can be
Jacques Vanneste, Francois Vial
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Journal of Computational Physics, 1995
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Overreflection of Rossby Waves
Journal of the Atmospheric Sciences, 1983Abstract The reflection of the Rossby wave by the shear zone of the basic flow with hyperbolic tangent profile is investigated by examining the eigenfunction of the disturbance equation. The reflection coefficient is evaluated for various values of wavenumbers and Coriolis parameter. The overreflection is found in some narrow range of the wavenumber.
Michio Yamada, Kanefusa Gotoh
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Studies in Applied Mathematics, 1979
An investigation is made of the properties of periodic and solitary waves for a simple atmospheric model.
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An investigation is made of the properties of periodic and solitary waves for a simple atmospheric model.
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Journal of the Atmospheric Sciences, 1979
Abstract A variational principle and an associated integral invariant are constructed for two-dimensional (non-divergent) waves of permanent form in a Rossby β-plane. A solitary-wave solution is obtained, and it is shown that the effects of cubic nonlinearity may be comparable with those of quadratic nonlinearity and may limit the amplitude of the wave.
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Abstract A variational principle and an associated integral invariant are constructed for two-dimensional (non-divergent) waves of permanent form in a Rossby β-plane. A solitary-wave solution is obtained, and it is shown that the effects of cubic nonlinearity may be comparable with those of quadratic nonlinearity and may limit the amplitude of the wave.
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1986
We shall now consider adiabatic motions without external forces. Then in the quasistatic and Boussinesq approximations the equations of motion, mass conservation, and entropy evolution have the form (see Kamenkovich and Monin, 1978, §§2 and 5): $$\frac{{du}}{{dt}} - \frac{{uv}}{a}\tan \varphi - fv = - \frac{1}{{{\varrho _0}}}\frac{{\partial p}}{{a ...
V. M. Kamenkovich +2 more
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We shall now consider adiabatic motions without external forces. Then in the quasistatic and Boussinesq approximations the equations of motion, mass conservation, and entropy evolution have the form (see Kamenkovich and Monin, 1978, §§2 and 5): $$\frac{{du}}{{dt}} - \frac{{uv}}{a}\tan \varphi - fv = - \frac{1}{{{\varrho _0}}}\frac{{\partial p}}{{a ...
V. M. Kamenkovich +2 more
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The stability of a Rossby wave
Geophysical & Astrophysical Fluid Dynamics, 1977Abstract The stability of a finite-amplitude Rossby wave on a β-plane with respect to a small amplitude perturbation is examined. Normal modes are defined, without further approximation, by a third-order Floquet system. The parametric instability exhibited by the system is examined analytically and numerically.
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The Scattering of Rossby Waves by Ocean Ridges
2002Overview and equation of motion. Rossby waves, or planetary waves, play a crucial role in global oceanic circulation. These waves propagate in regions of non-uniform ambient potential vorticity by conserving the potential vorticity of the flow. Bottom topography and the variation of the Coriolis parameter (a quantity proportional to the normal ...
Abrahams, ID, Owen, GW, Willmott, AJ
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Chaotic advection by Rossby-Haurwitz waves
Fluid Dynamics Research, 1996Summary: We study the kinematics of the mixing of particles passively advected by linear wave solutions of \textit{B. Haurwitz} [J. Marine Res. 3, 254 ff. (1940)] for an incompressible, inviscid, barotropic, horizontal flow on a sphere. We show, with the help of Poincaré maps, that the superposition of two waves is sufficient to produce chaotic ...
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