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基于长程力的SPH方法固壁边界处理
引用本文:周学君,陈丁,黄文雄. 基于长程力的SPH方法固壁边界处理[J]. 河海大学学报(自然科学版), 2017, 45(2): 153-160
作者姓名:周学君  陈丁  黄文雄
作者单位:河海大学力学与材料学院, 江苏 南京 210098; 黄冈师范学院数理学院, 湖北 黄冈 438000,河海大学力学与材料学院, 江苏 南京 210098,河海大学力学与材料学院, 江苏 南京 210098
基金项目:国家自然科学基金(11172088);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:将近场动力学(PD)中的长程力引入光滑粒子流体动力学(SPH)的固壁边界处理模型中,给出一种适合SPH方法边界处理的新方法。通过液柱坍塌、Poiseuille流、水铸造充型仿真和土体崩塌4个算例对该方法的有效性进行验证。结果表明:该方法能很好地解决粒子非物理穿透边界;能客观反映真实的边界作用;对于复杂几何边界和具有材料强度的动力学问题也相当有效。

关 键 词:光滑粒子流体动力学(SPH);长程力;近场动力学(PD);固壁边界处理
收稿时间:2016-04-13

Solid boundary treatment for SPH method based on long-range force
ZHOU Xuejun,CHEN Ding,HUANG Wenxiong (.College of Mechanics and Materials,Hohai University,Nanjing,China; .College of Mathematics and Physics,Huanggang Normal University,Huanggang,China. Solid boundary treatment for SPH method based on long-range force[J]. Journal of Hohai University (Natural Sciences ), 2017, 45(2): 153-160
Authors:ZHOU Xuejun,CHEN Ding,HUANG Wenxiong (.College of Mechanics  Materials,Hohai University,Nanjing,China   .College of Mathematics  Physics,Huanggang Normal University,Huanggang,China
Affiliation:College of Mechanics and Materials, Hohai University, Nanjing 210098, China; College of Mathematics and Physics, Huanggang Normal University, Huanggang 438000, China,College of Mechanics and Materials, Hohai University, Nanjing 210098, China and College of Mechanics and Materials, Hohai University, Nanjing 210098, China
Abstract:A new method for boundary treatment of the smoothed particle hydrodynamics(SPH)method is presented through introduction of the long-range force in peridynamics(PD)to the solid boundary treatment of SPH. The reliability of the method is verified by four numerical simulation examples, including a liquid column break, Poiseuille flow, water casting filling, and soil collapse. The results show that the method can solve the problem of non-physical particle penetration boundary and objectively reflect actual boundary action, and is effective for dynamic problems with complex geometric boundies and material strength.
Keywords:smoothed particle hydrodynamics(SPH)   long-range force   peridynamics(PD)   solid boundary treatment
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