Lagrangian formalism for the Rayleigh-Taylor instability
Journal Article
·
· Physical Review Letters
- Physics Department, Nuclear Research Center-Negev, P.O. Box 9001 Beer Sheva, 84105 (Israel)
A new formulation of the Lagrangian equations for the evolution of the Rayleigh-Taylor instability in inviscid incompressible fluids is presented. A set of exact coupled-mode equations which govern the evolution of the velocity field and the nonlinear motion of the surface is derived. Unlike the traditional Eulerian mode expansion, which requires an infinitely growing number of modes at the nonlinear stage, the present expansion coverages very rapidly. The use of the formalism for analyzing the nonlinear stage of the instability is demonstrated by analytical and numerical solutions. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 285742
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 22 Vol. 76; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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