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- W2014371387 abstract "The discrete vortex method previously used by Rosenhead and others to compute the roll-up of a vortex sheet in a single fluid is extended to the situation in which the vortex sheet is a horizontal interface separating a lighter inviscid fluid above from a heavier fluid below. The stabilizing effects of gravity and surface tension are included in a discretized circulation equation used to calculate the circulations of individual vortices during the course of the computation. Calculations show the evolution of the interface under stable, unstable, and marginally unstable conditions as given by linear Kelvin-Helmholtz instability theory. Under stable conditions, finite amplitude disturbances oscillate with a period slightly larger than predicted by classical theory for infinitesimal perturbations. For unstable conditions, the finite amplitude growth rate is much smaller than the corresponding linearized growth rate for infinitesimal disturbances. Under marginally unstable conditions, small irregularities along the interface cause numerical difficulties before the maximum disturbance amplitude and extent of roll-up has been computed." @default.
- W2014371387 created "2016-06-24" @default.
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- W2014371387 date "1976-11-01" @default.
- W2014371387 modified "2023-09-27" @default.
- W2014371387 title "Discretized Simulation of Vortex Sheet Evolution with Buoyancy and Surface Tension Effects" @default.
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- W2014371387 doi "https://doi.org/10.2514/3.61493" @default.
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