Glimm, James; Grove, John W.; Li, X. L.; Tan, D. C. Robust computational algorithms for dynamic interface tracking in three dimensions. (English) Zbl 0969.76062 SIAM J. Sci. Comput. 21, No. 6, 2240-2256 (2000). 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. Reviewer: Qin Mengzhao (Beijing) Cited in 39 Documents 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) Keywords:front tracking code FronTier; three-dimensional interface; hybrid method; Rayleigh-Taylor instability; velocity of rising bubble PDFBibTeX XMLCite \textit{J. Glimm} et al., SIAM J. Sci. Comput. 21, No. 6, 2240--2256 (2000; Zbl 0969.76062) Full Text: DOI