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On the long time simulation of the Rayleigh–Taylor instability
Author(s) -
Lee Hyun Geun,
Kim Kyoungmin,
Kim Junseok
Publication year - 2010
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.3034
Subject(s) - rayleigh–taylor instability , instability , rayleigh scattering , bubble , mechanics , boundary (topology) , boundary value problem , richtmyer–meshkov instability , physics , classical mechanics , mathematics , mathematical analysis , optics
Abstract We investigate the classical Rayleigh–Taylor instability with a phase‐field method. Despite of the long history of numerical simulations for the Rayleigh–Taylor instability, almost all results were relatively short time experiments. This is partly because of the way of treating the pressure boundary conditions. We implement a time‐dependent pressure boundary condition through a time‐dependent density field at the boundary. Owing to the pressure boundary treatment, we can perform long time evolutions resulting in an equilibrium state. In addition to the bubble and spike fronts, we have found that the width of sides is another important landmark on the interface of the Rayleigh–Taylor instability. Copyright © 2010 John Wiley & Sons, Ltd.