中文摘要：

在处理带有介质分界面的多介质流动问题时，把介质边界当作一种特殊的边界，并且在该边界上的点都有着双重的定义，分别对应边界两侧的不同介质状态，通过利用HLLC方法求解任意拉格朗日-欧拉方程（ALE），以及运用界面跟踪和动网格方法分别对一维和二维多介质流进行了数值模拟，并得到了满意的结果。

英文摘要：

The computation of multi-material flows with interface is discussed where the material interface is considered as a special boundary. This boundary is represented as doubled-defined points and each point corresponds to one material. The HLLC scheme is implemented in solving ALE formulation on unstructured moving grids to track the material interface. This method is used to compute multi-material flow samples in one dimension and two dimensions, and the result demonstrates the practicability of this method.