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| Numerical simulation of two-dimensional Kelvin-Helmholtz instabilities using a front tracking method |
| Received:May 12, 2017 Revised:July 28, 2017 |
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| DOI：10.7511/jslx20170512003 |
| KeyWord:Kelvin-Helmholtz instability thickness of velocity gradient layers neumann boundary condition dirichlet boundary condition front tracking method |
| Author | Institution |
| 尚文强 |
南昌大学 机电工程学院, 南昌 |
| 张莹 |
南昌大学 机电工程学院, 南昌 |
| 陈昭奇 |
南昌大学 机电工程学院, 南昌 |
| 袁志平 |
南昌大学 机电工程学院, 南昌 |
| 董博恒 |
南昌大学 机电工程学院, 南昌 |
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| Abstract: |
| The two-dimensional Kelvin-Helmholtz (K-H) instability of immiscible and incompressible fluids is performed using a front tracking method.It is shown that the thicker the velocity gradient layer,the faster the interface moves in horizontal component and the less the roll-up less.It is also found that the greater the initial horizontal velocity difference,the more the interface roll-up and the higher the inward disturbance growth rate,and the characteristic form of K-H instability becomes much more obvious.Besides,we also observe that the disturbance of interface in Neumann boundary condition(that is no slip boundary condition) develops faster than the disturbance in Dirichlet boundary condition(that is symmetrical boundary condition).Due to the existence of boundary layer in Dirichlet boundary,vorticity has begun to spread to both sides at the initial moment,affecting the growth rate of the K-H instability while vorticity gathers in the center of interface due to initial horizontal velocity differences in Neumann boundary condition.Finally we investigated the effect of a various values of Richardson number in different boundary conditions on the K-H instability. |
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