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- W2026357746 abstract "The discretization of the integrodifferential equation governing the evolution of a vortex sheet leads to a representation of the sheet by point vortices. It is shown, by examination of the special case of a uniform circular vortex sheet, that the chaotic motion which often arises when the point vortex representation is used is due to the amplification of numerically introduced disturbances. The mechanism is a discrete form of Helmholtz instability. The linear smoothing method of Longuet-Higgins and Cokelet (1976) and the repositioning method of Fink and Soh (1978) are shown to reduce the instability." @default.
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- W2026357746 date "1981-03-01" @default.
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- W2026357746 title "On the Point Vortex Method" @default.
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- W2026357746 doi "https://doi.org/10.1137/0902006" @default.
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