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Intense Vortex Motion on the Beta Plane: Development of the Beta Gyres

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TLDR
In this article, an analytical theory for the self-induced translation of an intense vortex relative to a uniform background flow on the β plane is presented, and the equivalent barotropic approximation is used to formulate the initial value problem within a polar coordinate frame translating with the vortex center.
Abstract
An analytical theory is presented for the self-induced translation of an intense vortex relative to a uniform background flow on the β plane. The equivalent barotropic approximation is used to formulate the initial value problem within a polar coordinate frame translating with the vortex center. A contour dynamical model of the vortex is melded with the regular beta-plane model of the residual flow. Evolution of vortex asymmetries for azimuthal mode number one, the so-called beta gyres, which are responsible for the relative vortex motion, is considered for a period of time while the Rossby wave radiation is not important. It is shown for an initially axisymmetric vortex that the beta gyres and corresponding vortex translational velocity consist of two parts. The first one is generated by advection of the background potential vorticity gradient and rotates differentially because of the symmetric vortex circulation. The second part arises due to distortion in the vortex shape represented by displa...

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Transport by coherent barotropic vortices

TL;DR: In this article, the transport properties of coherent vortices in rotating barotropic flows have been studied and it is shown that vortice induce regular Lagrangian motion inside their cores and are highly impermeable to inward and outward particle fluxes.
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The Evolution and Propagation of Quasigeostrophic Ocean Eddies

TL;DR: In this article, the long-term evolution of initially Gaussian eddies is studied in a reduced-gravity shallow-water model using both linear and nonlinear quasigeostrophic theory in an attempt to understand westward-propagating mesoscale eddies observed and tracked by satellite altimetry.
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Hydrodynamical Modeling Of Oceanic Vortices

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Journal ArticleDOI

100 Years of Progress in Tropical Cyclone Research

TL;DR: A century ago, meteorologists regarded tropical cyclones as shallow vortices, extending upward only a few kilometers into the troposphere, and nothing was known about their physics save for the physics as discussed by the authors.
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Nonaxisymmetric Thermally Driven Circulations and Upper-Tropospheric Monsoon Dynamics

TL;DR: In this paper, the authors investigate the nonlinear dynamics of almost inviscid, thermally forced, divergent circulations in situations that are not axisymmetric, and show how the circulation constraint can be satisfied, even when the time-mean absolute vorticity remains finite in the divergent region, and provide a continuous evolution between the non-linear (symmetric) and linear (highly asymmetric) limits.
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