Linear Rayleigh-Taylor Instability Analysis of a Double-Shell Kidder’s Self-Similar Implosion

HU Jun; YIN Xie-yuan; HANG Yi-hong; ZHANG Shu-dao

doi:10.3879/j.issn.1000-0887.2010.04.002

Volume 31 Issue 4

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HU Jun, YIN Xie-yuan, HANG Yi-hong, ZHANG Shu-dao. Linear Rayleigh-Taylor Instability Analysis of a Double-Shell Kidder’s Self-Similar Implosion[J]. Applied Mathematics and Mechanics, 2010, 31(4): 399-410. doi: 10.3879/j.issn.1000-0887.2010.04.002

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Linear Rayleigh-Taylor Instability Analysis of a Double-Shell Kidder’s Self-Similar Implosion

doi: 10.3879/j.issn.1000-0887.2010.04.002

1.
Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China;

Received Date: 1900-01-01
Rev Recd Date: 2010-03-10
Publish Date: 2010-04-15

Abstract

Abstract

By generalizing the single-shell Kidder's self-similar solution to double-shell with a discontinuity for density across the interface,an isentropic implosion model was constructed to study the Rayleigh-Taylor instability for the miplosion compression.A Godunov-type method in Lagrangian coordinates was used to compute the one-dmiensional Euler equation with the initial conditions and boundary conditions of the double-shell Kidder's self-similar solution in spherical geometry,and numerical results were obtained to validate the double-shell miplosion model. By programming and using the linear perturbation code,a linear stability analysis on the Rayleigh-Taylor instability for the double-shellisen tropic miplosion model was performed.It is found that when the initial perturbation concentrates much closer to the inter face of the two shells,or when the spherical wave number becomes much smaller,the interface modal radius grows much faster,i.e.more unstable.In addition,from the spatial point of view for the compressibility effect on the perturbation evolution,it is found that the compressibility of the outer shell has destabilization effect on Rayleigh-Taylor instability,while the compressibility of the inner shell has stabilization effect.
- double-shell Kidder’s sel-fsmiilar solution,
- Rayleigh-Taylor instability,
- miplosion compression

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References(11)

References

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