计算力学学报2017，Vol.34Issue(1)：101-105,5.DOI:10.7511/jslx201701014
一种SPH应力修正算法及自由表面流中的应用
A SPH stress correction algorithm and its application in free surface flow
摘要
Abstract
In order to suppress the stress unstability of SPH method,a stress correction algorithm that calculating the tensile and compressive stress with different kernel functions and state equations is proposed.Then an improved Quintic kernel function improve compressive stress stability of SPH model is introduced.The stress correction algorithm increases Bell-Shaped kernel's smooth length to promote the tensile stresses stability.Moreover the stress correction algorithm is applied to simulate oscillation and deformation of a square droplet under weightlessness conditions.Several numerical results of different algorithms are proposed for comparative analysis.In addition,to further verify the algorithm's applicability,this paper simulates a dam break example.Studies show that Improved Quintic kernel function significantly solved particles aggregation problem.The SPH stress correction method can make droplets having more uniform particle distribution and more smooth free surface,effectively improve the stress stability of SPH method as well as the simulation accuracy of free surface flow.关键词
SPH/应力修正/核函数/液滴/表面张力Key words
SPH/stress correction/kernel function/droplet/surface tension分类
数理科学引用本文复制引用
王志超,李大鸣,胡永文..一种SPH应力修正算法及自由表面流中的应用[J].计算力学学报,2017,34(1):101-105,5.基金项目
国家自然科学基金(51079095) （51079095）
国家自然科学基金创新研究群体科学基金(51021004)资助项目. （51021004）
