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Numerical simulation of non-viscous liquid pinch off using a coupled level set-boundary integral method...

by Maria Garzon, James Sethian, Leonard J Gray
Publication Type
Journal
Journal Name
Journal of Computational Physics
Publication Date
Page Numbers
6079 to 6109
Volume
228
Issue
17

Simulations of the pinch off of an inviscid fluid column are carried out based upon a potential flow model with capillary forces. The interface location and the time evolution of the free surface boundary condition are both approximated by means of level set techniques on a fixed domain. The interface velocity is obtained via a Galerkin boundary integral solution of the 3D axisymmetric
Laplace equation. A short time analytical solution of the Raleigh-Taylor instability in a liquid column is available, and this result is compared with our numerical experiments to validate the algorithm. The method is capable
of handling pinch-off and after pinch-off events, and simulations showing the time evolution of the fluid tube are presented.