Deformation and Splitting of Pseudo-elliptical Vortex Rings
A vortex-dynamics simulation has been made on the deformation of a pseudo-elliptical vortex ring which consists of two parallel line segments connected by two semicircles of the same radius, the major-to-minor axis ratio being between 2 and 20. The deformation has four fundamental patterns depending on the aspect ratio: the periodic axis switching; the splitting into two vortex rings after the axis switching; the splitting into two vortex rings without the axis switching; the splitting into three vortex rings without the axis switching.
KeywordsAspect Ratio Vortex Ring Axis Ratio Core Radius Vorticity Field
Unable to display preview. Download preview PDF.
- Aref, H. & Zawadzki, I. 1990 Topological Fluid Mechanics (eds. H. K. Moffatt and A. Tsinober), Camb.Univ. Press 535.Google Scholar