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基于黎曼解的粒子间接触算法在SPH中的应用
引用本文:徐志宏,汤文辉,张若棋.基于黎曼解的粒子间接触算法在SPH中的应用[J].高压物理学报,2006,20(1):93-96.
作者姓名:徐志宏  汤文辉  张若棋
作者单位:国防科学技术大学理学院技术物理研究所,湖南长沙,410073
摘    要: 采用光滑粒子流体动力学(SPH)方法模拟大变形问题具有明显的优点,但传统的SPH方法在模拟冲击波与接触界面的作用时,往往会出现压力的反常跳动。采用黎曼解描述粒子间相互作用的接触算法对传统SPH方法进行修正,计算了激波管和飞片碰撞(包含接触界面)问题中波的传播,并将计算结果与解析解作比较。结果表明,与传统的光滑粒子法相比,该改进的光滑粒子法无需引入人工粘性项和人工热流项,程序结构简洁,且能较好地处理接触界面问题,从而能有效提高计算精度。

关 键 词:黎曼解  接触算法  可变光滑长度
文章编号:1000-5773(2006)01-0093-04
收稿时间:2004-11-29
修稿时间:2005-05-09

Application of Interparticle Contact Algorithm Based on Riemann Solution in SPH
XU Zhi-Hong,TANG Wen-Hui,ZHANG Ruo-Qi.Application of Interparticle Contact Algorithm Based on Riemann Solution in SPH[J].Chinese Journal of High Pressure Physics,2006,20(1):93-96.
Authors:XU Zhi-Hong  TANG Wen-Hui  ZHANG Ruo-Qi
Institution:Institute of Technical physics, College of Science, National University of Defense Technology, Changsha 410073,China
Abstract:Smooth particle hydrodynamics(SPH) is a new effective numerical method for modeling problems involving large deformation.However when the SPH method is used to simulate shock waves come across contact interface,tensile instability occurs at the contact interface.In this paper we use contact algorithm which describes contact interaction between SPH particles by means of Riemann solution to simulate the propagation of wave in shock tube and projectile impact problems,and compare the numerical results with the analytical solutions.From the compared results,we can conclude that the modified SPH method do well in removing instabilities and improving accuracy of calculation.And due to the introduce of Riemann solution,there is no need to use artificial viscosity and heat flux,which simplifies the program code.
Keywords:Riemann solution  contact algorithm  variable smoothing distance  
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