Nonlinear behavior of a vortex sheet in incompressible Richtmyer–Meshkov instability with surface tension
Nonlinear behavior of a vortex sheet in incompressible Richtmyer–Meshkov instability with surface tension
复制标题
具有表面张力的不可压缩 Richtmyer-Meshkov 不稳定性中涡旋片的非线性行为
DOI：
--
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
C. Matsuoka
中科院分区：
文献类型：
--
作者：
C. Matsuoka
使用边界积分法对具有表面张力的不可压缩 Richtmyer-Meshkov (RM) 不稳定性中平面界面的运动进行数值研究。结果表明，当阿特伍德数相对较小时，界面会卷起，而无需对界面速度进行正则化。对比有表面张力和无表面张力界面的生长速率，发现在线性阶段，无表面张力的界面生长速率始终大于有表面张力的界面，即有表面张力的RM不稳定性的线性生长速率不服从与时间t成正比的RM不稳定性的典型生长速率。我们还表明，当表面张力系数相对较大时，在 RM 不稳定性中界面可能会发生稳定的振荡运动，并且振荡周期取决于表面张力参数。
Motion of a planar interface in incompressible Richtmyer–Meshkov (RM) instability with surface tension is investigated numerically by use of the boundary integral method. It is shown that an interface rolls up without regularization of the interfacial velocity when the Atwood number is relatively small. Comparison between the growth rate of the interface with and without surface tension is made, and it is shown that the growth rate without surface tension is always larger than the one with surface tension at the linear stage, that is, the linear growth rate of the RM instability with surface tension does not obey the typical growth rate of the RM instability which is proportional to time t. We also show that when the surface tension coefficient is relatively large, stable oscillatory motion of the interface is possible in the RM instability and the period of the oscillation depends on the surface tension parameter.