Dimensionality dependence of late time evolution of Rayleigh-Taylor and Richtmyer-Meshkov instabilities

O. Sadot, D. Oron, D. Kartoon, L. Arazi, A. Yosef-Hai, Y. Elbaz, U. Alon, D. Shvarts

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Using a statistical mechanics bubble competition model, Alon et al. (1994,1995) have shown that the two-dimensional Rayleigh-Taylor (RT) mixing zone bubble and spike fronts evolves as h=αB/S·A·g·t2 with αB∼0.05 and αS∼αS· (1+A). The Richtmyer-Meshkov (RM) mixing zone fronts have been found to evolve as h=a0·tθ with different θ's for bubble and spikes. The model predictions were θB∼0.4 and θS∼θB at low A's and rises to 1.0 for A close to 1. Full 2D numerical simulations confirmed these scaling laws. Recent experimental results (Dimonte, 1999,2000) have indicated similar scaling laws of the mixing zone evolution, but there were some discrepancies in the values of the scaling parameters, mainly in the value of θB and the similarity parameter, h/〈λ〉. It will be shown, based on full 3D numerical simulations, a Layzer type model and a 3D statistical-mechanics model that these discrepancies are mainly the effect of dimensionality. Accounting for the 3D nature of the problem results in scaling parameters that are very similar to the experimental values. The 3D single mode evolution, used in this model, was confirmed by shock tube experiments.

Original languageEnglish
Pages (from-to)352-358
Number of pages7
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 1 Jan 2001


  • Hydrodynamics instability
  • Inertial confinement fusion (ICF)
  • Rayleigh-Taylor
  • Richtmyer-Meshkov
  • Shocktube

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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