Applied Mathematics & Information Sciences

Author Country (or Countries)

Saudi Arabia


We present a numerical simulation to compute the evolution of vortex filaments bundle in superfluid helium. We show that the vortex-antivortex bundles with sinusoidally have stable structures and each bundle rotates about its common center. Because of they have circulation in opposing directions, the two vortex bundles move down together parallel to each other. A three dimensional periodic cube is used. Thus, the vortex filament points move through one side of the periodic volume and re-entering on the other side. The two bundles move for long time without reconnection. We found that our results are in agreement with the finding of Koplik and Levine [Phys. Rev. Lett. 71, 1375 (1993)], who used the nonlinear Schr¨odinger equation (NLSE) model to study the cases of single vortices. This movement leads to stretching and flexure of vortex lines which cause changes in velocities, radius, number of points and total length.

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