Abstract
A review of asymptotic analyses for the study of the motion and decay of a vortex filament submerged in a background potential flow is presented. Emphasis is placed on physical intuitions motivating the analyses and on the physical interpretation of the asymptotic solutions. The extension of the analyses to a vortex filament submerged in a rotational flow is outlined.
The asymptotic analyses identify various canonical problems which require numerical solutions of the Navier-Stokes equations. These numerical studies in turn initiate new theoretical analyses.
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© 1981 Springer-Verlag
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Ting, L. (1981). Studies on the motion and decay of a vortex filament. In: Krause, E. (eds) Advances in Fluid Mechanics. Lecture Notes in Physics, vol 148. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0021334
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DOI: https://doi.org/10.1007/BFb0021334
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