Dimensionality dependence of the Rayleigh-Taylor and Richtmyer-Meshkov instability late-time scaling laws

Dan Oron, L. Arazi, D. Kartoon, A. Rikanati, U. Alon, D. Shvarts

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Abstract

The late-time nonlinear evolution of the three-dimensional (3D) Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities for random initial perturbations is investigated. Using full 3D numerical simulations, a statistical mechanics bubble-competition model, and a Layzer-type drag-buoyancy model, it is shown that the RT scaling parameters, αB and αS, are similar in two and three dimensions, but the RM exponents, θB and θS are lower by a factor of 2 in three dimensions. The similarity parameter hB/〈λ〉 is higher by a factor of 3 in the 3D case compared to the 2D case, in very good agreement with recent Linear Electric Motor (LEM) experiments. A simple drag-buoyancy model, similar to that proposed by Youngs [see J. C. V. Hanson et al., Laser Part. Beams 8, 51 (1990)], but using the coefficients from the A = 1 Layzer model, rather than phenomenological ones, is introduced.

Original languageEnglish
Pages (from-to)2883-2889
Number of pages7
JournalPhysics of Plasmas
Volume8
Issue number6
DOIs
Publication statusPublished - Jun 2001

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ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics

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