倾斜壁面中Kelvin-Helmholtz不稳定性演化数值分析

基于FTM（Front Tracking Method）对倾斜壁面下的二维不混溶、不可压缩流体的Kelvin-Helmholtz（K-H）不稳定性进行数值模拟.研究壁面倾角，速度梯度层厚度以及理查德森数对K-H不稳定性发展的影响.研究表明，壁面倾角越大，K-H不稳定性发展越快，卷起的液体越多；倾斜壁面下速度梯度层厚度的增加对界面卷起表现出抑制作用.理查德森数重力项越大，界面卷起越缓慢，而理查德森数表面张力项对界面卷起高度的影响较小.

Numerical Analysis of Kelvin-Helmholtz Instability in Inclined Walls

Kelvin-Helmholtz instability of two-dimensional immiscible incompressible fluid in a sloping tube was numerically simulated with front tracking method. Effects of inclined angles of wall, thickness of velocity gradient layer and Richardson number on development of K-H instability were investigated. It shows that the greater the angle of wall inclination is, the faster the K-H instability develops and the more liquid is rolled up. It was also found that increase of thickness of the velocity gradient layer under the inclined wall presented an inhibitory effect on roll-up of the interface. The greater gravity items of Richardson number is, the slower the interface rolls up. However, surface tension items of Richardson number have weak effect on the growth of interface.