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A SPH stress correction algorithm and its application in free surface flow |
Received:November 12, 2015 Revised:January 24, 2016 |
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DOI:10.7511/jslx201701014 |
KeyWord:SPH stress correction kernel function droplet surface tension |
Author | Institution |
王志超 |
江西省水利科学研究院, 南昌 |
李大鸣 |
天津大学 水利工程仿真与安全国家重点实验室, 天津 |
胡永文 |
天津大学 水利工程仿真与安全国家重点实验室, 天津 |
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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. |