Vortex-wave interaction on a sphere
The interaction of a point vortex with a single vorticity jump separating regions of opposite signed vorticity on the surface of a sphere is studied. Initially small amplitude interfacial waves are considered where linear theory is applicable. A point vortex in a region of same signed vorticity will initially move away from the interface and a point vortex in a region of opposite signed vortex will move towards it. Configurations with weak vortices sufficiently far from the interface then undergo meridional oscillation whilst precessing about the sphere. A vortex at a pole in a region of same sign vorticity is a stable equilibrium where as the other case is an unstable equilibrium. Numerical computations using contour dynamics confirm these results and nonlinear cases are examined.
point vortex vortex motion contour dynamics interface
R.B.Nelson N.R.McDonald
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK
国际会议
The Fifth International Conference on Fluid Mechanics(第五届国际流体力学会议)
上海
英文
2007-08-15（万方平台首次上网日期，不代表论文的发表时间）