SPH边界处理中两种排斥力模型的对比分析  

Comparisons of two repulsive models for boundary treatment in SPH

作　　者：上官子柠 马庆位 韩端锋[1] 

机构地区：[1]哈尔滨工程大学船舶工程学院 [2]伦敦城市大学工程及数学科学学院

出　　处：《船舶力学》2014年第1期37-44,共8页Journal of Ship Mechanics

基　　金：国家自然科学基金资助项目(漂浮式风浪能混合利用系统水动力性能研究)(51379051)

摘　　要：边界排斥力模型是SPH算法中固壁边界施加的方法之一,可以有效地防止粒子穿透边界,并且适用于处理复杂的边界问题。文章以Lennard-Jones和法向排斥力两种经典模型,模拟了二维溃坝,并在传统的法向排斥力模型基础上,增加了修正项,用以防止在计算时出现奇点导致运算崩溃。通过分析两种排斥力模型得到的流体粒子速度矢量,以及与相关文献、试验数据进行对比可知,前者对临近边界的流体粒子有较大的扰动,导致粒子运动紊乱、流动受阻,后者则更适用于SPH的计算。Boundary repulsive model is one of the methods for rigid boundary treatment in smoothed parti- cle hydrodynamics （SPH） algorithm, which can effectively prevent particles from penetration, and is suitable for dealing with complicated boundary issues. In this paper, two classical models Lennard-Jones and normal repulsive model are used to simulate the two-dimensional dam break, and a correction term is added to the normal repulsive model to prevent singularity occur in the calculation resulting compute crash. By anal- ysis of the fluid particle velocity vector of the two boundary model, and comparing with the experimental da- ta shows that the Lennard-Jones model has a larger disturbance to the fluid particles near boundary, resulting in particle movement disordered and flow blocked, while the normal repulsive model is more suitable for SPH.

关 键 词：光滑粒子流体动力学 固壁边界 边界排斥力模型 溃坝 

分 类 号：O351.2[理学—流体力学]