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

Research output: Contribution to journalArticle

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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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scaling laws
bubbles
spikes
electric motors
statistical mechanics
scaling
perturbation
physics
predictions
simulation

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

Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions. / Shvarts, D.; Oron, Dan; 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.

In: Comptes Rendus de l'Academie des Sciences - Series IV: Physics, Astrophysics, Vol. 1, No. 6, 08.2000, p. 719-726.

Research output: Contribution to journalArticle

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, vol. 1, no. 6, pp. 719-726.
Shvarts, D. ; Oron, Dan ; 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. / Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions. In: Comptes Rendus de l'Academie des Sciences - Series IV: Physics, Astrophysics. 2000 ; Vol. 1, No. 6. pp. 719-726.
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