液滴溅落问题的光滑粒子动力学模拟

摘要

In this paper, we present a modified smoothed particle hydrodynamics （SPH） method. The kemel approximation and the particle approximation are corrected to ensure that polynomial functions are exactly interpolated up to a given degree. Riemann solver is adopted to solve equations of fluid motion. A surface tension calculation program is used for considering the surface tension effects in droplets splashing. The process of droplet impact on liquid surface is numerically simulated by the modified smoothed particle hydrodynamics method. The numerical results clearly demonstrate that the modified SPH method can effectively describe the dynamics of droplet splashing and the variation of the free surface, and that the accuracy of the results can be stable.%对传统的光滑粒子动力学方法进行了改进,改进的光滑粒子动力学方法对传统粒子方法中的核近似式和粒子近似式进行了修正,采用Riemann算法求解光滑粒子动力学流体控制方程,添加了表面张力的计算程序,考虑了表面张力对液滴溅落的影响.应用改进的光滑粒子动力学方法对液滴静止状态下冲击液面的飞溅过程进行了数值模拟.计算结果表明,改进的光滑粒子动力学方法能够有效地描述液滴溅落液面的动力学特性和自由表面变化特征,能够得到稳定精度的结果.