Robust computational algorithms for dynamic interface tracking in three dimensions

Front tracking provides sharp resolution of wave fronts through the active tracking of interfaces between distinct materials. A major challenge to thi s method is to handle changes in the interface topology. We describe two al gorithms, implemented in the front tracking code FronTier, to model dynamic changes in three-dimensional interfaces. The two methods can be combined t o give a hybrid method that is superior to each individual method. The succ ess of these algorithms is shown by simulations of Rayleigh Taylor instabil ity, which is an interfacial instability driven by an acceleration directed across a material interface. Our numerical results are validated by compar ing the numerical computation of the velocity of a single rising bubble wit h an analytic model for the bubble velocity.