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

D. Shvarts, Dan 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

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Abstract

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
Volume1
Issue number6
Publication statusPublished - Aug 2000

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Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Shvarts, D., Oron, D., Kartoon, D., Rikanati, A., Sadot, O., Srebro, Y., Yedvab, Y., Ofer, D., Levin, A., Sarid, E., Ben-Dor, G., Erez, L., Erez, G., Yosef-Hai, A., Alon, U., & Arazi, L. (2000). Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions. Comptes Rendus de l'Academie des Sciences - Series IV: Physics, Astrophysics, 1(6), 719-726.