关键词: 液滴溅落, 水平集方法, Navier-Stokes方程

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