We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Linear Rayleigh-Taylor instability analysis of double-shell Kidder's self-similar implosion solution.
- Authors
Hu, Jun; Yin, Xie-yuan; Hang, Yi-hong; Zhang, Shu-dao
- Abstract
This paper generalizes the single-shell Kidder's self-similar solution to the double-shell one with a discontinuity in density across the interface. An isentropic implosion model is constructed to study the Rayleigh-Taylor instability for the implosion compression. A Godunov-type method in the Lagrangian coordinates is used to compute the one-dimensional Euler equation with the initial and boundary conditions for the double-shell Kidder's self-similar solution in spherical geometry. Numerical results are obtained to validate the double-shell implosion model. By programming and using the linear perturbation codes, a linear stability analysis on the Rayleigh-Taylor instability for the double-shell isentropic implosion model is performed. It is found that, when the initial perturbation is concentrated much closer to the interface of the two shells, or when the spherical wave number becomes much smaller, the modal radius of the interface grows much faster, i.e., more unstable. In addition, from the spatial point of view for the compressibility effect on the perturbation evolution, the compressibility of the outer shell has a destabilization effect on the Rayleigh-Taylor instability, while the compressibility of the inner shell has a stabilization effect.
- Subjects
RAYLEIGH-Taylor instability; EULER equations (Rigid dynamics); PRESSURE; PLASMA instabilities; RIGID dynamics
- Publication
Applied Mathematics & Mechanics, 2010, Vol 31, Issue 4, p425
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/s10483-010-0403-x