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。
Abstract
Boundary repulsive method is one of the methods for solid boundary treatment in smoothed particle hydrodynamics (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
Key words
smoothed particle hydrodynamics (SPH) /
repulsive model /
peridynamic (PD) /
solid boundary /
Couette flow
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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)
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