CAJ | 학술논문

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.
채용소우동전개법전개도삼계연구료일정압력지탱하적경전류체계면처발생적 Richtmyer - Meshkov불은정성，병안조이유 Rayleigh - Taylor 불은정성중비선성포화역치적정의，급출료경전평면 Richtmyer - Meshkov불은정성비선성포화역치적해석식.연구표명，해포화역치불부수도초시우동파장적영향，환수도초시계면우동폭치적영향；당불고필계면우동폭치효응시，해포화역치수초시우동파장적증가이선성증가；용계면초시우동파장무량강후적해포화역치대약시0.11，략고우대응 Rayleigh - Taylor 불은정성비선성포화역치.
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.