In this work, we use a moving Voronoi and sharp interface approach for simulating two-phase flows. At every time step, the mesh is generated anew from Voronoi seeds that behave as material points. The paper is a continuation of our previous works on moving Voronoi meshes where we have considered single phase incompressible and compressible flows. In the context of quasi-Lagrangian Voronoi simulations, problems with large density contrasts (such as water and air interface) are being treated here for the first time to the best of our knowledge. This is made possible through a remapping stage, which relies on a filtering of a color function. The resulting semi-implicit scheme is conservative and robust, allowing us to simulate both compressible and incompressible flows, including shock waves and surface tension.

翻译：本文采用移动Voronoi网格与锐界面方法模拟两相流动。在每一时间步，网格均由表现为物质点的Voronoi种子重新生成。本文是我们前期关于移动Voronoi网格研究工作的延续，此前我们已针对单相不可压缩与可压缩流动进行了探讨。在准拉格朗日Voronoi模拟框架下，据我们所知，本研究首次处理了高密度比问题（例如水-气界面）。这一突破通过重映射阶段实现，该阶段依赖于颜色函数的滤波处理。所构建的半隐式格式具有守恒性与鲁棒性，能够同时模拟可压缩与不可压缩流动，涵盖激波与表面张力现象。