中文摘要：

文章将自适应分层模型与3种现有的粒子方法相结合，得到3种改进的粒子方法，并对流体粒子进行大小粒子分层，可减少模拟使用的粒子，从而降低了原始方法的计算量；而通过使用较小粒子覆盖于流体表面，使得改进后的方法表面细节效果更佳。通过嵌入自适应分层模型，使得改进后的3种方法的计算效率得到了提高，表面细节也得到了保留甚至更佳。

英文摘要：

This paper modifies three methods which are based on particles with the adaptive layered technique. Through dividing the fluid into two kinds of particles, the modified methods use fewer par- ticles and get lower computation complexity than the original methods. In addition, the modified methods even have better surface detail for using small particles to cover the surface. By adding the a- daptive layered model, the modified methods can get lower computation complexity but the detail of surface is unchanged or even better than that of the original ones.