Evolution of a two-dimensional closed vortex sheet in a potential flow

초록

Vortex sheet dynamics is an important key to understanding many complicated and complex phenomena in fluid flows. Thus, the interactions and deformations of a vortex sheet are interesting topics. In this paper, we study the long-time evolution of a closed vortex sheet in two-dimensional space to model such dynamics. The elliptical vortex sheet is numerically investigated by using a robust and efficient method. As time proceeds, two symmetric main roll-ups are observed with and without secondary roll-ups.

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