物理学报2012，Vol.61Issue(22)：255-262,8.
光滑粒子动力学SPH方法应力不稳定性的一种改进方案
Improvement on stress instability in smoothed particle hydrodynamics
杨秀峰 1刘谋斌1
作者信息
- 1. 中国科学院力学研究所,水动力学与海洋工程重点实验室,北京100190
- 折叠
摘要
Abstract
Smoothed particle hydrodynamics (SPH) is a Lagrangian meshfree particle method. It has special advantages in modeling large deformation and free surface flow, and has been widely applied to different problems in engineering and science. However, the classical SPH suffers from stress instability which resticts its further development and applications. The fundamental reason of stress instability is that the stress state and the kernel do not match each other. For frequently used bell-shaped kernel function, in tensile state the attraction between particles increases as particle spacing decreases, thereby leading to tensile instability. In a compressible state, the repulsive force between particles increases, and then decreases as particle spacing decreases, thereby leading to compressible instability. In this paper is presented an approach to removing stress instability in SPH by proposing a new kernel function and a modified SPH discrete form. In the modified SPH, the force between particles is always repulsive and it increases as particle spacing decreases. Two numerical examples are given to test the proposed approachs, and the obtained numerical results clearly demonstrate that the new approach can eliminate stress instability effectively.关键词
光滑粒子动力学/稳定性/核函数/离散格式Key words
smoothed particle hydrodynamics/stability/kernel/discrete form分类
数理科学引用本文复制引用
杨秀峰,刘谋斌..光滑粒子动力学SPH方法应力不稳定性的一种改进方案[J].物理学报,2012,61(22):255-262,8.
