中文摘要：

发展了一种模板化的volume-of-fluid（VOF）方法．该方法根据自由界面的法向建立一个模板，然后由已知的网格单元上的流体体积比值确定出自由界面的准确位置，使得在二维情形下一个网格单元被自由界面切割的形式只有3种．另一方面，引入了单元边流体占有长度的概念，在此基础上建立了一个统一的流体占有面积模型，可以使得自由界面输运方程的求解有统一的算法．该方法不受网格单元形式的限制，并且容易推广到三维情形．算例表明，该方法能保证自由界面的跟踪精度．

英文摘要：

A stencillike volume-of- fluid （VOF） method is proposed for tracking free interface. A stencil on a grid cell is worked out according to the normal direction of the interface, in which, only three interface positions are possible in 2D cases, and the interface can be reconstructed by only requiring the known local volume fraction information. On the other hand, the fluid-occupying-length was defined on each side of the stencil, through which a unified fluid occupying volume model and the unified algorithm can be resulted for solving the interface advection equation. The method is suitable for arbitrary geometry of the grid cell, and is extendible to 3D cases. The typical numerical examples show that the current method can give ＂shaxp＂ result for tracking free interface.