经典Richtmyer-Meshkov不稳定性非线性饱和阈值  

Nonlinear Saturation Amplitude in Classical Planar Richtmyer-Meshkov Instability

作　　者：刘万海[1] 王翔[2] 

机构地区：[1]绵阳师范学院计算物理研究中心,四川绵阳621000 [2]兰州城市学院,甘肃兰州730070

出　　处：《绵阳师范学院学报》2015年第5期30-33,共4页Journal of Mianyang Teachers＇ College

基　　金：绵阳师范学院科研启动项目(QD2014A009);绵阳师范学院重点自然科学项目(2014A02);四川省教育厅理科重点项目(15ZA0296)

摘　　要：采用小扰动展开法展开到三阶研究了一定压力支撑下的经典流体界面处发生的Richtmyer-Meshkov不稳定性,并按照已有Rayleigh-Taylor不稳定性中非线性饱和阈值的定义,给出了经典平面Richtmyer-Meshkov不稳定性非线性饱和阈值的解析式.研究表明,该饱和阈值不仅受到初始扰动波长的影响,还受到初始界面扰动幅值的影响;当不考虑界面扰动幅值效应时,该饱和阈值随初始扰动波长的增加而线性增加;用界面初始扰动波长无量纲后的该饱和阈值大约是0.11,略高于对应Rayleigh-Taylor不稳定性非线性饱和阈值.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 wave-length 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.

关 键 词：RICHTMYER-MESHKOV 不稳定性 非线性饱和阈值 三阶扰动展开 

分 类 号：O351.3[理学—流体力学]