Glimm, J.; McBryan, O.; Menikoff, R.; Sharp, D. H. Front tracking applied to Rayleigh-Taylor instability. (English) Zbl 0582.76107 SIAM J. Sci. Stat. Comput. 7, 230-251 (1986). A numerical solution of the two-fluid incompressible Euler equation is used to study the Rayleigh-Taylor instability. The solution is based on the method of front tracking, which has the distinguishing feature of being a predominantly Eulerian method in which sharp interfaces are preserved with zero numerical diffusion. In this paper validation of the method is obtained by comparison with existing numerical solutions based on conformal mapping. An initial study of heterogeneity is presented. Cited in 25 Documents MSC: 76T99 Multiphase and multicomponent flows 76D05 Navier-Stokes equations for incompressible viscous fluids 76M99 Basic methods in fluid mechanics Keywords:fingering instability of interface; two-fluid incompressible Euler equation; Rayleigh-Taylor instability; method of front tracking; predominantly Eulerian method; sharp interfaces; zero numerical diffusion; conformal mapping; heterogeneity PDFBibTeX XMLCite \textit{J. Glimm} et al., SIAM J. Sci. Stat. Comput. 7, 230--251 (1986; Zbl 0582.76107) Full Text: DOI