Smoothed Particle Hydrodynamics method is a meshfree, Lagrangian, particle method which develops in the past twenty years. It is to actually evaluate spatial gradients without the use of any grid and has the adaptive nature, thus it doesn' t suffer from the problems associated with mesh tangling and distortion. Therefore it has been extensively applied to various areas. Applies the SPH method to the shallow-water equation ,and then simulates obstacles,floating objects in dam-break problem through using the method of combining virtual particles. And through the numerical experiment proves the feasibility of this method in simulation of complex fluid motion. It laid the foundation for the further development and wider application of SPH method.%光滑粒子流体动力学(Smoothed Particle Hydrodynamics,SPH)法是近二十年来发展起来的一种纯的拉格朗日无网格粒子方法.由于它计算空间导数时不需要使用网格并且具有自适应性质,从而避免了高维拉氏网格法中的网格缠结和扭曲的麻烦,被广泛地应用到了各种领域.通过介绍SPH方法并结合浅水波方程,引入处理边界问题常用的虚粒子方法.利用SPH方法结合虚粒子的方式讨论了对于溃坝问题中常见的漂浮物和障碍物的模拟,并通过数值实验的方式证明了此方法在模拟复杂流体运动上的可行性,为SPH方法的进一步发展和广泛应用奠定了基础.
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