Nonlinear saturation amplitude of cylindrical Rayleigh Taylor instability  

作　　者：刘万海 于长平 叶文华 王立峰 

机构地区：[1]Research Center of Computational Physics,Mianyang Normal University [2]Key Laboratory of High Energy Density Physics Simulation (HEDPS),and Center for Applied Physics and Technology,Peking University [3]Key Laboratory of High Temperature Gas Dynamics (LHD),Institute of Mechanics,Chinese Academy of Sciences [4]Institute of Applied Physics and Computational Mathematics [5]Department of Physics,Zhejiang University

出　　处：《Chinese Physics B》2014年第9期278-282,共5页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.10835003 and 11274026);the Scientific Research Foundation of Mianyang Normal University,China(Grant No.07165411)

摘　　要：The nonlinear saturation amplitude （NSA） of the fundamental mode in the classical Rayleigh-Taylor instability with a cylindrical geometry for an arbitrary Atwood number is analytically investigated by considering the nonlinear corrections up to the third order. The analytic results indicate that the effects of the initial radius of the interface （r0） and the Atwood number （A） play an important role in the NSA of the fundamental mode. The NSA of the fundamental mode first increases gently and then decreases quickly with increasing A. For a given A, the smaller the ro/λ（λ is the perturbation wavelength）, the larger the NSA of the fundamental mode. When ro/λ is large enough （r0 〉〉 λ）, the NSA of the fundamental mode is reduced to the prediction in the previous literatures within the framework of the third-order perturbation theory.The nonlinear saturation amplitude （NSA） of the fundamental mode in the classical Rayleigh-Taylor instability with a cylindrical geometry for an arbitrary Atwood number is analytically investigated by considering the nonlinear corrections up to the third order. The analytic results indicate that the effects of the initial radius of the interface （r0） and the Atwood number （A） play an important role in the NSA of the fundamental mode. The NSA of the fundamental mode first increases gently and then decreases quickly with increasing A. For a given A, the smaller the ro/λ（λ is the perturbation wavelength）, the larger the NSA of the fundamental mode. When ro/λ is large enough （r0 〉〉 λ）, the NSA of the fundamental mode is reduced to the prediction in the previous literatures within the framework of the third-order perturbation theory.

关 键 词：nonlinear saturation amplitude Rayleigh-Taylor instability cylindrical interface 

分 类 号：O415[理学—理论物理]