Oldroyd-B黏弹性液滴弹跳行为的改进SPH模拟  

Improved SPH simulation of the bouncing behavior of Oldroyd-B viscoelastic droplet

作　　者：许晓阳 周亚丽 XU Xiao-yang;ZHOU Ya-li(School of Computer Science and Technology,Xi’an University of Science and Technology,Xi’an 710054,China)

机构地区：[1]西安科技大学计算机科学与技术学院,西安710054

出　　处：《计算力学学报》2024年第2期359-364,共6页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(12071367)资助项目.

摘　　要：基于光滑粒子流体动力学SPH(Smoothed Particle Hydrodynamics)方法对Oldroyd-B黏弹性液滴撞击固壁面产生的弹跳行为进行了模拟与分析。首先,为了解决SPH模拟黏弹性自由表面流出现的张力不稳定性问题,联合粒子迁移技术提出了一种改进SPH方法。然后,对Oldroyd-B黏弹性液滴撞击固壁面产生的铺展行为进行了改进SPH模拟,与文献结果的比较验证了方法的有效性。最后,通过降低Reynolds数捕捉到了液滴的弹跳行为;并在此基础上,分析了液滴黏度比、Weissenberg数和Reynolds数对液滴弹跳行为的影响。结果表明,改进SPH方法可有效地模拟黏弹性自由表面流问题;液滴黏度比、Weissenberg数和Reynolds数对液滴最大回弹高度均有显著的影响。Based on the smoothed particle hydrodynamics(SPH)method,the bouncing behavior of an Oldroyd-B viscoelastic droplet impacting a solid wall was simulated and analyzed.Firstly,in order to resolve the tension instability exhibited in SPH simulations of viscoelastic free surface flows,an improved SPH method was proposed by combining the particle shifting technology.Then,the spreading behavior of the Oldroyd-B viscoelastic droplet impacting the solid wall was simulated by improved SPH,and the effectiveness of the method was verified by comparing the SPH results with some literature data.Furthermore,the bouncing behavior of the Oldroyd-B droplet was captured by decreasing the Reynolds number.On this basis,the effects of the viscosity ratio,Weissenberg and Reynolds numbers on the bouncing behavior of the droplet were analyzed.The results show that the improved SPH method could effectively simulate viscoelastic free surface flows.The viscosity ratio,Weissenberg and Reynolds numbers have significant effects on the maximum rebound height of the droplet.

关 键 词：光滑粒子流体动力学 Oldroyd-B黏弹性液滴 张力不稳定 粒子迁移技术 弹跳行为 

分 类 号：O242[理学—计算数学]