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: Chapter in Book/Report/Conference proceedingChapter

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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 tune 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
Title of host publicationEdward Teller Lectures: Lasers and Inertial Fusion Energy
PublisherImperial College Press
Pages253-260
Number of pages8
ISBN (Print)9781860947278, 186094468X, 9781860944680
DOIs
Publication statusPublished - Jan 1 2005

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    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. (2005). Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions. In Edward Teller Lectures: Lasers and Inertial Fusion Energy (pp. 253-260). Imperial College Press. https://doi.org/10.1142/9781860947278_0019