中文摘要：

针对可压缩多介质流体的数值模拟，发展了一种Level-Set间断追踪技术，用LS（Level-Set）函数追踪激波和捕捉界面。用Riemann问题解构造带状区域内的虚拟流体状态。对物理量的外推方法、间断附近虚拟流体的构造、间断推进速度的计算等问题进行了研究．最后对可压缩多介质流体一维和二维守恒律方程组进行数值模拟。数值计算采用通量重构的高精度WENO格式。计算结果令人满意。

英文摘要：

The Level-Set discontinuity tracking technology is extended to the simulation of general compressible muhimaterial flows. A Level- Set function is used to keep the track of the interface and discontinuity. A conservative high order accurate WENO scheme is employed. The ghost fluids are constructed in the narrow band region with solution of the Riemann problem. The GFM （ghost fluid method） is implemented for the study of material interface and general discontinuity such as detonation discontinuities. The algorithm is applied to simulate multi-material fluid flows and satisfactory numerical results are obtained.