Abstract
Motions of fluid particles advected by a 3D vortex filament are studied. As ex- tensions of a circular vortex ring, which provides a basis of fluid transport by vortex, two types of motions, elliptic vortex ring and vortex soliton are consid- ered. For an elliptic vortex ring, it is verified that the local induction equation (LIE) describes its motion properly if the aspect ratio is close to 1. Using the solution of LIE, particle motions are simulated for two different induction con- stants corresponding to a thin and a fat vortex for the circular vortex ring case, respectively. Intrinsic difficulty for calculating the finite transported volume by an elliptic vortex ring is suggested. For a vortex soliton, it is demonstrated that particle motions are confined in a torus near the kink of a soliton for a wide range of parameters that characterize the shape and the strength of the vortex soliton.
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