The Influence of Surface-Tension Effects on Using Vortex Method in the Study of Rayleigh-Taylor Instability
The effect of surface-tension on the smoothing of irregular motion of vortices in the vortex simulation of Rayleigh-Taylor instability is shown. The irregular motion appears as an effect of short-wave disturbances the source of which is round-off error. Inclusion of surface tension allows the observation of the formation of singularities. The singularities make an infinite jump discontinuity in the curvature of vortex sheet. It is observed that for sufficiently small Atwood number and for initial amplitude perturbation large enough two singularities appear in a half period of the vortex sheet and that only one appears for greater Atwood numbers.
Unable to display preview. Download preview PDF.
- Baker G. R. “Generalized vortex methods for free-surface flows.Proc. Wave on Fluid Interface”. Academic Press, (1983), pp. 53-81Google Scholar
- Gahov F.G “Boundary problems” (in Russian), 1977, Moscow, ScienceGoogle Scholar
- Moore D.W. “Numerical and Analytical aspects of Helmholtz Instability”, 1985, Theoretical and Applied Mechanics, IUTAM, pp. 263-274.Google Scholar