一种新型SPH固壁边界处理的排斥力模型  

A Repulsive Model for Solid Boundary Treatment in Smoothed Particle Hydrodynamics

作　　者：周学君[1,2] 陈丁[2] 唐轶[3] 

机构地区：[1]黄冈师范学院数理学院,湖北黄冈438000 [2]河海大学力学与材料学院,南京210098 [3]云南民族大学数学与计算机科学学院,昆明650500

出　　处：《长江科学院院报》2017年第7期54-59,共6页Journal of Changjiang River Scientific Research Institute

基　　金：国家自然科学基金项目(61462096);江苏省普通高校研究生科研创新计划项目(KYZZ16_0268);黄冈师范学院高级别培育项目(201617603)

摘　　要：边界排斥力法是光滑粒子流体动力学(SPH)固壁边界处理的方法之一,但由于缺乏统一的排斥力模型而制约其广泛应用。考虑将近场动力学(Peridynamics,PD)中描述颗粒间接触作用的短程排斥力引入到固壁边界处理模型中,提出一种新型SPH方法边界排斥力模型。通过Couette流和溃坝2个算例验证了排斥力模型的有效性。排斥力表达式简单,参数易于给定,为SPH方法中固壁边界处理提供新思路。Boundary repulsive method is one of the methods for solid boundary treatment in smoothed particle hydro-dynamics （SPH） , but the method is difficult to be widely applied due to the lack of unified repulsive model. The short-range repulsive force which describes the acting force between granules in Peridynamic （PD） is introduced to solid boundary treatment model to build a new boundary repulsive model in the framework of SPH. The reliability of the method is verified by two numerical simulation examples including Couette flow and dam-break. Moreover, the repulsive formulation is simple and the parameters are easy to be given. Therefore, the present method provides a new alternative for solid boundary treatment in SPH.

关 键 词：光滑粒子流体动力学(SPH) 排斥力模型 近场动力学(PD) 固壁边界 COUETTE流 

分 类 号：O35[理学—流体力学]