摘要
尝试建立1种基于无单元法的涡激振动数值模拟算法,并给出适用于涡激振动分析的前处理自动布点方法。基于无单元法理论,使用动最小二乘法构造形函数,利用无单元伽辽金法,采用速度和压力分离模式,及手工布点和自动布点2种方法所得出的节点布置形式,对流场控制方程进行空间离散,模拟二维涡激振动的流场形态,并对VIV相关参数进行分析,计算不同节点布置情况下的升力系数(Cl)、曳力系数(Cd)及斯特罗哈数(St),并与物理模型实验结果进行对比。计算结果表明,无单元伽辽金法应用于立管VIV分析是可行的,且文中采用2种布点方法均能较好的模拟流场中泻涡脱落的形态,计算结果与传统方法和物理模型实验结果吻合良好。证明文中2种布点方法都能用于固定圆柱的二维VIV分析,但自动布点法能够更好地适用于复杂问题的计算及圆柱体在流场中的VIV动力响应分析。
This work establishes an algorithm of Vortex-Induced Vibration numerical simulation based on Element Free Method,and gives an automatic nodes arranged method which can be used for VIV analysis.Based on the theory of EFM,Element Free Galerkin Method with two nodes arrangements,moving least squares method to construct the sharp function,simulate two-dimensional VIV flow forms with two nodes arrangements obtained from manual and automatic nodes arrangement methods were used,and the related parameters were analyzed with different nodes arrangements such as lift coefficient（Cl）,drag coefficient（Cd） and the Strouhal number（St）,then these results with physical model experiments are compared.The research shows that the EFG method can be used for VIV simulation,and both of the two nodes arrangements can simulate the vortex shedding form well,and the results agree well with traditional methods and physical models experimental results.These analyses prove that both of the two nodes arrangement methods of EFG can be used for a fixed cylinder two-dimensional VIV analysis.But the automatic nodes arranged method can be better applied to the calculation of complex issues and dynamic response analysis of cylinder VIV.
出处
《中国海洋大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第5期105-110,共6页
Periodical of Ocean University of China
基金
国家自然科学基金重点项目(50739004)资助
关键词
深水立管
涡激振动
无单元法
节点布置
deep-water risers
Vortex Induced Vibration（VIV）
Element Free Method
nodes arrangement
作者简介
杨林（1977-），男，博士生。E-mail：ylace@ouc．edu．cn
