In this study we are aimed to simulate incompressible fluid flows with moving interface separating liquid and gas phases. To achieve volume/mass conservation and to capture interface, the interface-capturing volume of fluid (VOF) method, which is exercised in compliance with requirement of volume/mass conservation, will be coupled with the other interface-capturing level-set (LS) method, which is suitable to capture interface accurately. In our proposed advection algorithm, VOF is the building block that solves the volume fraction and the level-set function is solely used to assist an accurate calculation of some geometrically relevant quantities at the interface. A high order scheme developed within the optimized compact reconstruction WENO framework has been applied to solve the advection equation. The novelty of this purposed advection algorithm is attributed to its efficient implementation without sacrifice of computational accuracy.

在这项研究中，我们旨在模拟具有分离液相和气相的移动界面的不可压缩流体流。为了实现体积/质量守恒和捕获界面，将按照体积/质量守恒的要求执行界面捕获流体量（VOF）方法，并将其与其他界面捕获水平集（LS）结合使用。 ）方法，适合准确捕获接口。在我们提出的对流算法中，VOF是解决体积分数的构件，而水平集功能仅用于辅助界面上一些几何相关量的精确计算。在优化的紧凑型重建WENO框架内开发的高阶方案已应用于求解对流方程。