中文摘要：

求解Riemann问题得到界面接触间断的流动状态，并以此构造带状区域的虚拟流体状态，对于多维问题设计了一种方便有效的算法。同时求解耦合的守恒形式欧拉方程组和非守恒界面捕捉方程，并用Level-Set函数捕捉界面，数值计算采用高分辨率MWENO格式。最后对可压缩多介质流动问题进行了数值模拟。

英文摘要：

Two interface treatment methods are applied to simulate multi-component flows. A simple and robust algorithm is provided for solving Riemann problem in 2-D. At each node of a narrow strip of the interface, Riemann problems are solved using iterative numerical method. Predicted isobaric values and ghost fluid states are provided. Comparing original GFM,this method is robust and effective. Conservative Euler equations and interface capturing equations are solved respectively. Level-set equation is applied to capture interface. Numerical computations are performed with MWENO scheme and compared with the results by γ-model method,original GFM and modified GFM.