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...

Full description

Saved in:
Bibliographic Details
Published inCommunications in theoretical physics Vol. 65; no. 4; pp. 523 - 526
Main Author 刘万海 王翔 蒋宏彬 马文芳
Format Journal Article
LanguageEnglish
Published 01.04.2016
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
Online AccessGet full text
ISSN0253-6102
1572-9494
DOI10.1088/0253-6102/65/4/523

Cover

More Information
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.
Bibliography:Wan-Hai Liu ,Xiang Wang , Hong-Bin Jiang,Wen-Fang Ma（1Research Center of Computational Physics, Mianyang Normal University, Mianyang 621000, China ;2School of Bailie Engineering and Technology, Lanzhou City University, Lanzhou 730070, China）
Richtmyer–Meshkov instability nonlinear saturation amplitude perturbation expansion
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.
11-2592/O3
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/65/4/523