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中文摘要：
在本文利用水平集方法数值求解带表面张力的二维两相流问题，利用包含界面的小支集的光滑函数近似6函数和具有二阶精度的投影算法求解Navier—Stokes方程组，该方法无需对界面速度做小幅校正就能保持界面内的小液滴面积守恒，并且可以较容易地扩展到三维．数值试验针对一个小液滴在母液中的变形与分裂运动进行了数值模拟，研究了各个参数对于小滴在母液中运动的影响．数值结果表明此方法可很好地捕捉到界面的拓扑变化．
英文摘要：
In this paper, a level-set continuum surface-force method is proposed for comput- ing the interfacial flows surfactant with surface tension in 2D. This method can be straight- forwardly extended to 3D cases. A smooth discrete 5 function is traditionally used to regularize the distributional Navier-Stokes equations, which is solved by a second-order accurate projec- tion method. As a result, it isn＇t necessary to perform small correction of the interface velocity to conserve the area of the region surrounded by the interface. Numerical simulations on single drop deformation in a shear flow are presented. The results indicate that the level set method can naturally capture the change of topology in the fluid interface, and Reynold number and Capillary number perform well in drop deformation.
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