This paper presents a coupling method of the level set and volume of fluid methods based on a simple local-gradient based re-initialisation approach that evaluates the distance function depending on the computational cell location. If a cell belongs to the interface, the signed distance is updated based on a search in the neighbouring cells and an interpolation procedure is applied depending on the local curvature or the sign of the level set function following [D. Hartmann, M. Meinke, W. Schröder, Differential equation based constrained reinitialisation method for level set methods, J. Comput. Phys. 227 (2008) 6821-6845]. The search algorithm does not distinguish between the upwind and downwind directions and hence it is able to be used for cells with an arbitrary number of faces increasing the robustness of the method. The coupling with the volume of fluid method is achieved by mapping the volume fraction field which is advected from the isoface evolution at a subgrid level. Consequently, the coupling with the level set approach is utilised without solving the level set equation. This coupled method provides better accuracy than the volume of fluid method alone and is capable of capturing sharp interfaces in all the classical numerical tests that are presented here.

本文介绍了一种基于液位和液量的耦合方法，该方法基于简单的基于局部梯度的重新初始化方法，该方法根据计算单元的位置来评估距离函数。如果某个单元格属于该界面，则基于在相邻单元格中的搜索来更新有符号距离，并根据[D.之后的水平设置函数的局部曲率或符号来应用插值过程。Hartmann，M. Meinke，W.Schröder，基于微分方程的约束重新初始化方法，用于水平集方法，J. 物理 227（2008）6821-6845]。搜索算法无法区分上风向和下风向，因此可以用于具有任意数量面的单元格，从而提高了该方法的鲁棒性。与流体体积方法的耦合是通过在亚网格级别上绘制由等值面演化得出的体积分数场来实现的。因此，利用了与水平集方法的耦合而无需求解水平集方程。这种耦合方法比单独使用流体法提供的精度更高，并且能够捕获此处介绍的所有经典数值测试中的尖锐界面。