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- W1639840076 abstract "Using Rosenheads point-vortex approximation with correction terms, the evolution of two symmetrical, counter-rotating, initially cylindrical vortex sheets in an incompressible, potential uid ow is studied. Simulations are performed in time up to the occurrence of branch-point curvature singularities in the vortex sheetsgeometries. The numerical methods employed are discussed. Parameters pertaining to the asymptotics of the Fourier coe¢ cients of the vortex sheetspositions are numerically tted to gain insight into aspects of the singularity formation; these include the order of the branch-point singularities, and the times and locations of singularity formation. A smoothing over initial singularity formations is implemented by either the heat equation or through a local application of the vortex blob method in an attempt to gain details into further singularity formations. Lastly, the e¤ects of the initially prescribed total circulation around the vortex sheets on their evolutions are studied, both up to the time of singularity formation, and with the implementation of the vortex blob method, past the times of singularity formation." @default.
- W1639840076 created "2016-06-24" @default.
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- W1639840076 date "2012-01-01" @default.
- W1639840076 modified "2023-09-26" @default.
- W1639840076 title "Two cylindrical vortex sheets : evolution and singularity formation" @default.
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