Abstract
Inviscid coaxial interactions of two vortex rings, including head-on collisions and leapfrogging motions, are considered using a contour dynamics technique. Interactions of vortex rings with solid bodies are also investigated by combining the contour dynamics technique with a boundary integral equation method. Numerical results show that a clean, successful passage motion is possible for two vortex rings with not too thick cores. In both cases of head-on collisions and leapfrogging motions, very large core deformations are observed when two vortex rings get close to each other. A head-tail structure is formed in the later stage of a head-on collision of two fat vortices. Numerical results also show that a vortex ring will stretch and slow down when it moves toward a solid boundary, will shrink and speed up when it moves away from a solid boundary, and will either translate steadily or approach an oscillating asymptotic state when it is far away from any boundaries.
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The project supported by The National Education Commission of China and NASA under cooperative grant agreement #NCC5-34.
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Quyuan, Y., Chiakun, C. & Yousheng, H. Coaxial interactions of two vortex rings or of a ring with a body. Acta Mech Sinica 11, 219–228 (1995). https://doi.org/10.1007/BF02487725
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DOI: https://doi.org/10.1007/BF02487725