中文摘要：

采用多介质流体的三阶精度Piecewise Parabolic Method（PPM）计算方法对界面不稳定性实验模型进行数值模拟，通过对Lawrence Livermore National Laboratary（LLNL）实验室的果冻环实验模型的数值计算，获得了与其计算和实验图像基本一致的结果，从而验证和确认了计算方法和计算程序．在此基础上，对于冲击波物理与爆轰物理实验室设计的果冻内外界面10模峰对峰、峰对谷振幅为1mm扰动的界面不稳定性实验模型，给出了果冻内外界面位置、速度和加速度历史曲线，详细分析了果冻内外界面不稳定性的发展、演化过程，并给出了两种实验模型实验结果和对应的数值模拟结果．

英文摘要：

A multi-fluid parabolic piecewise method （MFPPM） is developed to simulate the interface instabilities in this paper. To verify and validate our code MFPPM, the experiment model of Lawrence Livermore National Laboratory （LLNL） is simulated by MFPPM. The numerical results of the gelatin-ring agree well with those of experiment and simulation by CALE. At the same time, the two experiment models of our Laboratory for Shock Wave and Detonation Physics are considered, in which the outer and inner surfaces of the gelatin-ring are set by mode numbers 10, with amplitude of lmm in top-top and top-bottom initially. Shape, position and acceleration of the outer and inner surfaces of the gelatin-ring simulation results are given, and the basic physical phenomena and numerical images are in excellent agreement.