Journal
PHYSICS LETTERS A
Volume 317, Issue 5-6, Pages 470-476Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2003.09.013
Keywords
Rayleigh-Taylor; Richtmyer-Meshkov; non-linear dynamics; coherent structures; non-local; singularities
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We report non-linear solutions describing the large-scale coherent motion of bubbles and spikes in the Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio in general three-dimensional case. The non-local character of the interface dynamics is taken into account with a multiple harmonic analysis. The theory yields a non-trivial dependence of the bubble velocity and curvature on the density ratio and reveals an important qualitative distinction between the dynamics of Rayleigh-Taylor and Richtmyer-Meshkov bubbles. (C) 2003 Elsevier B.V. All rights reserved.
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