The roll-up of vorticity strips on the surface of a sphere

DOI10.1017/S0022112092000697zbMath0744.76061OpenAlexW2148027945MaRDI QIDQ3991450

Lorenzo M. Polvani, David Gerard Dritschel

Publication date: 28 June 1992

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112092000697

zbMATH Keywords

stabilityplanetary atmospheresbarotropic flowsfilaments of vorticity

Mathematics Subject Classification ID

Related Items (18)

Linear stability and nonlinear evolution of a polar vortex cap on a rotating sphere ⋮ Finite area vortex motion on a sphere with impenetrable boundaries ⋮ Stability of filaments of uniform quasi-geostrophic potential vorticity ⋮ Stability of barotropic vortex strip on a rotating sphere ⋮ Onsager's ensemble for point vortices with random circulations on the sphere ⋮ A fast contour dynamics method for many-vortex calculations in two-dimensional flows ⋮ Motion of three point vortices on a sphere ⋮ Point vortex motion on a sphere with solid boundaries ⋮ Vortex dynamics in complex domains on a spherical surface ⋮ Motion of a vortex sheet on a sphere with pole vortices ⋮ Analytical solutions for distributed multipolar vortex equilibria on a sphere ⋮ Contour Dynamics with Non-uniform Background Vorticity ⋮ The \(N\)-vortex problem on a sphere: Geophysical mechanisms that break integrability ⋮ Vortex motion on a sphere: Barrier with two gaps ⋮ An extension of Draghicescu's fast tree-code algorithm to the vortex method on a sphere ⋮ The fate of random initial vorticity distributions for two-dimensional Euler equations on a sphere ⋮ Vortex–wave interaction on the surface of a sphere ⋮ On Singular Vortex Patches, I: Well-posedness Issues

Cites Work

• Contour dynamics/surgery on the sphere
• Nonlinear stability bounds for inviscid, two-dimensional, parallel or circular flows with monotonic vorticity, and the analogous three-dimensional quasi-geostrophic flows
• The repeated filamentation of two-dimensional vorticity interfaces
• The nonlinear evolution of rotating configurations of uniform vorticity

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