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Fluid Pinch-off and Sprays

Fluid pinchoff is a highly challenging problem: computational techniques either break down when topological change occurs, or become highly inaccurate and miss most of the subtle dynamics. We have built a new mathematical model applicable to a host of fluid breakage issues. Our new approach relies on embedding the interface, the velocity, and the potential in higher dimensional implicit forms, and then solving a coupled set of PDEs which naturally transition through fluid breakup. Using this approach, we have been able to obtain remarkably close match with experiment, correctly computing asymptotic constants of fluid self-similarity as breakup is approached, and the resulting rapid reconfiguration due to surface capillary waves and separation into microdroplets.