中文摘要：

本文对无网格法的一种一移动粒子半隐式法（MPS）进行了较深入的研究,介绍了该方法的基本原理和算法,推导并建立了表面张力和气液两相流等若干粒子作用模型,编程实现了二维情况下水中气泡自由上升运动的数值模拟;对计算结果进行分析并与相关实验结果进行了定性比较,模拟结果显示了移动粒子半隐式法在模拟自由表面和气液两相流问题的优越性,也为研究涉及到大变形的相关问题提供了很好的解决思路。

英文摘要：

The basic theory and algorithm of moving particle semi-implicit method were introduced and some particle interaction models, such as surface tension and gas-liquid flow were established. An example of bubble rising freely in water was simulated and the result was analyzed and qualitatively compared with the experimental data. The result shows that MPS method was effective on problems of free surface, gas-liquid flow and those with large deformation.