Abstract: The 2-D full Navier-Stokes equations are solved by second-order projection method coupled to level set technique to model the process of a drop falling to and impacting on a free surface of the same liquid. Striking discrepancies between the method and others are that the former includes the resistance and the upward-directed acceleration effects of the ambient liquid, and incorporates the effects of viscosity, gravity, and surface tension. Without applying any rejoining or repositioning techniques, the method can deal with singularities as cusps and corners appearing on the configuration, naturally, while main features of the procedures under various conditions observed in physical experiments can be captured in our numerical examples. As an updated version, the approach employs no reinitilization treatment.

Key words: drops falling and splashing, level-set method, Navier-Stokes equations

摘要： 将二阶投影方法和水平集技巧相结合求解二维Navier-Stokes方程，以模拟水溅落的过程。与其他方法不同，本方法不需额外的技巧，就能自然地处理自由界面出现的尖点，角点等。数值计算过程中无重新初始化步骤。

关键词: 液滴溅落, 水平集方法, Navier-Stokes方程