Recent advances in the turbulent Rayleigh–Taylor instability

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  • Guy Dimonte
    Los Alamos National Laboratory , Los Alamos, New Mexico 87545
  • P. Ramaprabhu
    Los Alamos National Laboratory , Los Alamos, New Mexico 87545
  • D. L. Youngs
    Atomic Weapons Establishment , Aldermaston, Reading, Berkshire, RG7 4PR, United Kingdom
  • M. J. Andrews
    Texas A & M University , College Station, Texas 77843-3123
  • R. Rosner
    University of Chicago , Chicago, Illinois 60637

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<jats:p>In the turbulent Rayleigh–Taylor instability, the light fluid penetrates the heavy fluid as bubbles with a diameter Db and amplitude hb that grow self-similarly Db∝hb∼αbAgt2 where A is Atwood number, g is acceleration, and t is time. Experiments measure an acceleration constant αb∼0.04–0.08 whereas the highest resolution three-dimensional numerical simulations obtain αb∼0.02–0.03 with idealized initial conditions. This paper reconciles this apparent discrepancy with new simulations that quantify the importance of initial conditions on αb. The results compare favorably with experiments and a model based on self-similar bubble dynamics.</jats:p>

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