The homogeneous mixture model with noble-abel stiffened-gas (NASG) equation of state is applied to solve the numerical simulation of compressible multi-phase flows. The gravity and surface tension forces are included, and a preconditioning scheme is used to improve the convergence of the low speed. In this study, oscillations of an elliptical drop were used to verify that the surface tension force and the sharp-interface-method works well without a numerical dissipation. These results were a success in that they were only about 1% differ from the analytic results. The dam-break problem to check unsteady and complex water surface tracking is comparable with the experimental data. The rising bubble with surface tension, viscous, and gravity effect is solved, and the bubble deformation and its evolution are comparable with the previous researchers. Air-Helium shock-bubble interaction and the underwater explosion problem for validation of a high-speed regime compared reasonably well with the experimental Schlieren results. The mixing and heat transfer between liquid and gas were analyzed during their interaction process.

应用带有惰性气体（NASG）状态方程的均质混合模型来求解可压缩多相流的数值模拟。包括重力和表面张力，并使用预处理方案来改善低速收敛。在这项研究中，椭圆液滴的振荡被用来验证表面张力和锐界面方法在没有数值耗散的情况下运行良好。这些结果是成功的，因为它们与分析结果只有大约 1% 的差异。用于检查不稳定和复杂水面跟踪的溃坝问题与实验数据具有可比性。解决了具有表面张力、粘性和重​​力效应的上升气泡，气泡的变形及其演化与之前的研究人员相当。用于验证高速状态的空气-氦激波-气泡相互作用和水下爆炸问题与实验纹影结果相比相当不错。分析了液体和气体在相互作用过程中的混合和传热。