Linear Rayleigh-Taylor instability analysis of double-shell Kidder's self-simila

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Linear Rayleigh-Taylor instability analysis of double-shell Kidder's self-similar implosion solution

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 im-plosion model is constructed to study the Rayleigh-Taylor instability for the implosion compression.A Godunov-type method in the Lagrangian coordinates is used to com-pute 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 instabil-ity 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.水利论文-G.k9N&o%P W9y%WK0D^

作 者: Jun HU Xie-yuan YIN Yi-hong HANG Shu-dao ZHANG  
作者单位:Jun HU,Yi-hong HANG,Shu-dao ZHANG(Institute of Applied Physics and Computational Mathematics,Beijing 100088,P.R.China)
){rQm$~U9v0Xie-yuan YIN(Department of Modern Mechanics,University of Science and Technology of China,Hefei 230027,P.R.China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2010 31(4) 
分类号:O354.9 
关键词:double-shell Kidder's self-similar solution   Rayleigh-Taylor instability   implosion compression  
机标关键词:linear stability analysisRayleigh-Taylorouter shellinterfacecompressibility effectboundary conditionssolutionmodelspherical waveinitialEuler equationadditionresultsradiusstudypaperfoundviewtwo 
基金项目:The NSAF Joint Fund set up by the National Natural Science Foundation of China and the Chinese Academy of Engineering Physics (CAEP),国家自然科学基金,the Natural Science Foundation of CAEP,the Scientific Research Foundation for Returned Over-seas Chinese Scholars of Ministry of Education of China 
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