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Robust computational algorithms for dynamic interface tracking in three dimensions. (English) Zbl 0969.76062

The authors propose two algorithms, implemented in the front tracking code FronTier, to model dynamic changes in three-dimensional interface. Combining of the two methods gives a hybrid method that is superior to each individual method. These algorithms are shown to be very successful by the simulations of Rayleigh-Taylor instability. Numerical results are validated by comparing the numerical computation of the velocity of a single rising bubble with analytical results for the bubble velocity.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76E17 Interfacial stability and instability in hydrodynamic stability
76T10 Liquid-gas two-phase flows, bubbly flows
76M25 Other numerical methods (fluid mechanics) (MSC2010)
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