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

Authors:
M. Garzon;L. J. Gray;J. A. Sethian
Affiliations:
Department of Applied Mathematics, University of Oviedo, Spain;Computer Science and Mathematics Division, Oak Ridge National Laboratory, United States;Department of Mathematics, University of California, Berkeley, United States and Mathematics Department, Lawrence Berkeley National Laboratory, United States
Venue:
Journal of Computational Physics
Year:
2009

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Abstract

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.