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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
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

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
Copyright
Copyright © Cambridge University Press 1995

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References

REFERENCES

Alon, U. et al. 1993 Phys. Rev. E 48, 1008.CrossRefGoogle Scholar
Alon, U. et al. 1994 Phys. Rev. Lett. 72, 2867.CrossRefGoogle Scholar
Amsden, A.A. et al. 1980 Los Alamos National Laboratory Report LA-8095.Google Scholar
Dahlburg, J.P. & Gardner, J.H. 1990 Phys. Rev. A 41, 5695.CrossRefGoogle Scholar
Dahlburg, J.P. et al. 1993 Phys. Fluids B 5, 571.CrossRefGoogle Scholar
Freed, N. et al. 1991 Phys. Fluids A 3, 912.CrossRefGoogle Scholar
Hecht, J. et al. 1994 Phys. Fluids A 6, 4019.CrossRefGoogle Scholar
Henshaw, M. J. De C. et al. 1987 Plasma Phys. Control Fusion 29, 405.CrossRefGoogle Scholar
Jacobs, J.W. & Catton, I. 1988 J. Fluid Mech. 187, 329.CrossRefGoogle Scholar
Layzer, D. 1955 Astrophys. J. 122, 1.CrossRefGoogle Scholar
Lindl, J.D. et al. 1992 Phys. Today 45, 32.CrossRefGoogle Scholar
Manheimer, W. et al. 1984 Phys. Fluids 27, 2164.CrossRefGoogle Scholar
Ofer, D. et al. 1992 Phys. Fluids B 4, 3549.CrossRefGoogle Scholar
Sakagami, H. & Nishihara, K. 1990 Phys. Rev. Lett. 65, 432.CrossRefGoogle Scholar
Sharp, D. 1984 Physica 12D, 3.Google Scholar
Town, R.P.J. & Bell, A.R. 1991 Phys. Rev. Lett. 67, 1863.CrossRefGoogle Scholar
Town, R.P.J. et al. 1994 Laser Part. Beams 12, 163.CrossRefGoogle Scholar
Tryggvason, G. & Unverdi, S.O. 1990 Phys. Fluids A 2, 656.CrossRefGoogle Scholar
Yabe, T. et al. 1991 Phys. Rev. A 44, 2756.CrossRefGoogle Scholar
Youngs, D.L. 1982 In Numerical Methods for Fluid Dynamics, Morton, K.W. and Baines, M.J., eds. (Academic Press, London), p. 273.Google Scholar
Youngs, D.L. 1991 Phys. Fluids A 3, 1312.CrossRefGoogle Scholar
Youngs, D.L. 1992 In Advances in Compressible Turbulent Mixing, Dannevik, W.P., Buckingham, A.C., and Leith, C.E., eds. (U.S. Government Printing Office, Washington, DC), p. 607.Google Scholar

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