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Topological structures of vortex and helicity analysis

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Abstract

In this paper, we discuss the topological structures of the vortex filaments and vortex tubes with an exact solution of a straight spiral vortex tube. We find that there are some confusions about the calculation of the helicities of a knotted vortex filament and some linked vortex filaments by using different methods. We explain how to unify these methods and give the right results.

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This work is supported by the National Basic Research Important Project “Nonlinear Science”

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Yongnian, H., Weidong, S. Topological structures of vortex and helicity analysis. Acta Mech Sinica 14, 208–214 (1998). https://doi.org/10.1007/BF02487755

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  • DOI: https://doi.org/10.1007/BF02487755

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