Nonlinear Saturation Amplitude in Classical Planar Richtmyer–Meshkov Instability

The classical planar Richtmyer–Meshkov instability（RMI） at a fluid interface supported by a constant pressure is investigated by a formal perturbation expansion up to the third order,and then according to definition of nonlinear saturation amplitude（NSA） in Rayleigh–Taylor instability（RTI）,the NSA i...

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Bibliographic Details
Published in:Communications in theoretical physics 2016-04, Vol.65 (4), p.523-526
Main Author: 刘万海 王翔 蒋宏彬 马文芳
Format: Article
Language:English
Subjects:
Amplitudes
Constants
Instability
Nonlinearity
NSA
Perturbation
RMI
Saturation
Stability
Wavelengths
不稳定性
初始扰动
幅度
平面
流体界面
非线性饱和
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Summary:The classical planar Richtmyer–Meshkov instability（RMI） at a fluid interface supported by a constant pressure is investigated by a formal perturbation expansion up to the third order,and then according to definition of nonlinear saturation amplitude（NSA） in Rayleigh–Taylor instability（RTI）,the NSA in planar RMI is obtained explicitly.It is found that the NSA in planar RMI is affected by the initial perturbation wavelength and the initial amplitude of the interface,while the effect of the initial amplitude of the interface on the NSA is less than that of the initial perturbation wavelength.Without marginal influence of the initial amplitude,the NSA increases linearly with wavelength.The NSA normalized by the wavelength in planar RMI is about 0.11,larger than that corresponding to RTI.
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/65/4/523