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Three-dimensional simulations and analysis of the nonlinear stage of the Rayleigh-Taylor instability

Published online by Cambridge University Press:  09 March 2009

J. Hecht ,
D. Ofer ,
U. Alon ,
D. Shvarts ,
S.A. Orszag ,
D. Shvarts  and
R.L. McCrory
J. Hecht
Affiliation:
Physics Department Nuclear Research Centre Negev, P.O. Box 9001, Beer-Sheva 84190, Israel
D. Ofer
Affiliation:
Physics Department Nuclear Research Centre Negev, P.O. Box 9001, Beer-Sheva 84190, Israel
U. Alon
Affiliation:
Physics Department Nuclear Research Centre Negev, P.O. Box 9001, Beer-Sheva 84190, Israel
D. Shvarts
Affiliation:
Physics Department Nuclear Research Centre Negev, P.O. Box 9001, Beer-Sheva 84190, Israel
S.A. Orszag
Affiliation:
Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA
D. Shvarts
Affiliation:
Laboratory for Laser Energetics, University of Rochester, 250 East River Road, Rochester, NY 14623–1299, USA
R.L. McCrory
Affiliation:
Laboratory for Laser Energetics, University of Rochester, 250 East River Road, Rochester, NY 14623–1299, USA
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Abstract

The nonlinear stage in the growth of the Rayleigh-Taylor instability in three dimensions (3D) is studied using a 3D multimaterial hydrodynamic code. The growth of a single classical 3D square and rectangular modes is compared to the growth in planar and cylindrical geometries and found to be close to the corresponding cylindrical mode, which is in agreement with a new Layzer-type model for 3D bubble growth. The Atwood number effect on the final shape of the instability is demonstrated. Calculations in spherical geometry of the late deceleration stage of a typical ICF pellet have been performed. The different late time shapes obtained are shown to be a result of the initial conditions and the high Atwood number. Finally, preliminary results of calculations of two-mode coupling and random perturbations growth in 3D are presented.

Type
Research Article
Information
Laser and Particle Beams , Volume 13 , Issue 3 , September 1995 , pp. 423 - 440
Copyright
Copyright © Cambridge University Press 1995

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