R-T不稳定性发展的二维和三维对比研究

徐立; 孙锦山

doi:10.11858/gywlxb.2003.03.004

R-T不稳定性发展的二维和三维对比研究

doi: 10.11858/gywlxb.2003.03.004

徐立,
孙锦山

中国工程物理研究院北京研究生部，北京 100088

详细信息

通讯作者:
徐立

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出版历程
- 收稿日期: 2002-09-12
- 修回日期: 2003-02-28
- 发布日期: 2003-09-05

A Comparative Study of the Evolution of R-T Instability in Two and Three Dimensions

XU Li,
SUN Jin-Shan

Beijing Graduate School, Chinese Academy of Engineering Physics, 100088, China

More Information

Corresponding author: XU Li

摘要

摘要: 应用摄动方法研究不同密度流体交界面上的Rayleigh-Taylor（R-T）不稳定性问题，分别研究了二维（2D）与三维（3D）R-T不稳定性的线性与非线性增长，并进行了对比。得出的结论为：（1）三维不稳定性的线性增长比二维情况要快，且同维度上相同的初始扰动波长，其时间增长指数受另一维度上的初始波长影响。（2） R-T不稳定性发展在考虑了非线性增长的影响之后，二维与三维扰动增长的图像也不一样。
- R-T不稳定性 /
- 非线性 /
- 扰动增长
Abstract: Rayleigh-Taylor (R-T) instability at the interface of two different fluids is studied analytically by using perturbation method. We analyze and compare the linear and nonlinear growth of R-T instability in two (2D) and three (3D) dimensions. The obtained conclusion includes, (1) linear growth of the instability in 3D is faster than that in 2D, and growing exponential of identical initial perturbation wavelength in one dimension is affected by that in others, (2) perturbation growth profile of R-T instability in 3D is different from that in 2D after allowing for nonlinear evolution.
- R-T instability /
- nonlinearity /
- perturbation growth

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