一种新型SPH固壁边界处理的排斥力模型

doi:10.11988/ckyyb.20160375

长江科学院院报 ›› 2017, Vol. 34 ›› Issue (7): 54-59.DOI: 10.11988/ckyyb.20160375

一种新型SPH固壁边界处理的排斥力模型

周学君^1,2, 陈丁², 唐轶³

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

收稿日期:2016-04-20 出版日期:2017-07-01 发布日期:2017-07-10
作者简介:周学君(1981-),男,湖北蕲春人,讲师,博士研究生,主要从事计算力学与工程仿真研究,(电话)13477625972(电子信箱)zhouxj@hhu.edu.cn。
基金资助:
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)

A Repulsive Model for Solid Boundary Treatment in Smoothed Particle Hydrodynamics

ZHOU Xue-jun^1,2, CHEN Ding², TANG Yi³

1.College of Mathematics and Physics,Huanggang Normal University,Huanggang 438000, China;
2.College of Mechanics and Materials,Hohai University,Nanjing 210098,China;
3.College of Mathematics and Computer Science,Yunnan University of Nationalities,Kunming 650500,China

Received:2016-04-20 Published:2017-07-01 Online:2017-07-10

摘要/Abstract

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。

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

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.

Key words: smoothed particle hydrodynamics (SPH), repulsive model, peridynamic (PD), solid boundary, Couette flow

中图分类号:

O242

周学君, 陈丁, 唐轶. 一种新型SPH固壁边界处理的排斥力模型[J]. 长江科学院院报, 2017, 34(7): 54-59.

ZHOU Xue-jun, CHEN Ding, TANG Yi. A Repulsive Model for Solid Boundary Treatment in Smoothed Particle Hydrodynamics[J]. JOURNAL OF YANGTZE RIVER SCIENTIFIC RESEARCH INSTI, 2017, 34(7): 54-59.

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

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