Harmonic growth of spherical Rayleigh-Taylor instability inweakly nonlinear regime
Harmonic growth of spherical Rayleigh-Taylor instability inweakly nonlinear regime
复制标题
弱非线性状态下球形瑞利-泰勒不稳定性的谐波增长
DOI：
10.1063/1.4936096
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发表时间：
2015
影响因子：
2.2
通讯作者：
Xinliang Li
中科院分区：
文献类型：
--
作者：
Wanhai Liu;Yulian Chen;Changping Yu;Xinliang Li
本文用参数展开到三阶的方法研究了球界面上经典瑞利-泰勒不稳定性（RTI）的谐波增长。我们的结果表明，前四个谐波的振幅将恢复那些在平面RTI的界面半径趋于无穷大相比，初始扰动波长。初始半径显著影响谐波发展。初始未扰动界面的二阶反馈的出现（即，零次谐波）使界面向球心移动。对于这四个谐波，初始半径越小，它们增长得越快。
Harmonic growth in classical Rayleigh-Taylor instability (RTI) on a spherical interface is analytically investigated using the method of the parameter expansion up to the third order. Our results show that the amplitudes of the first four harmonics will recover those in planar RTI as the interface radius tends to infinity compared against the initial perturbation wavelength. The initial radius dramatically influences the harmonic development. The appearance of the second-order feedback to the initial unperturbed interface (i.e., the zeroth harmonic) makes the interface move towards the spherical center. For these four harmonics, the smaller the initial radius is, the faster they grow.