[blubar]

Free Surfaces in Conducting Fluids:
(Collaborators: Professor Iain Boyd, University of Michigan, Professor Mark Sushman, University of Floridan and Anton VanderWyst)

In this work we have mugged Numerical Green's Functions methods with a Level set volume of fluids framework to simulate droplet formations in liquid metals with an externally applied voltage.

Figure 1 shows a cartoon of the geometric setup as well as our simulation results of the evolution of the free surface under the action of the external field. The simulation results are in good agreement with existing work. The advantage of our approach is that we can follow the evolution of the surface well past pinch off.


Figure 1: Simulation of a free surface in conducting fluids with an externally applied field. To the left is a cartoon sketch of the physical system used to atomize a liquid metal and to the right is our simulation of the free surface wicking up into a Taylor cone.

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christlieb@math.msu.edu