Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions

D. Shvarts, D. Oron, D. Kartoon, A. Rikanati, O. Sadot, Y. Srebro, Y. Yedvab, D. Ofer, A. Levin, E. Sarid, G. Ben-Dor, L. Erez, G. Erez, A. Yosef-Hai, U. Alon, L. Arazi

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


The late-time nonlinear evolution of the Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities for random initial perturbations is investigated using a statistical mechanics model based on single-mode and bubble-competition physics at all Atwood numbers (A) and full numerical simulations in two and three dimensions. It is shown that the RT mixing zone bubble and spike fronts evolve as h ∼ α · A · gt2 with different values of α for the bubble and spike fronts. The RM mixing zone fronts evolve as h ∼ tθ with different values of θ for bubbles and spikes. Similar analysis yields a linear growth with time of the Kelvin-Helmholtz mixing zone. The dependence of the RT and RM scaling parameters on A and the dimensionality will be discussed. The 3D predictions are found to be in good agreement with recent Linear Electric Motor (LEM) experiments.

Original languageEnglish
Pages (from-to)719-726
Number of pages8
JournalComptes Rendus de l'Academie des Sciences - Series IV: Physics, Astrophysics
Issue number6
StatePublished - 1 Jan 2000


  • Hydrodynamic instabilities
  • Kelvin-Helmholtz
  • Mixing zone
  • Numerical simulations
  • Rayleigh-Taylor instability
  • Richtmyer-Meskov instability
  • Temporal growth

ASJC Scopus subject areas

  • General Physics and Astronomy


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