流固耦合问题的精细积分求解法

上海交通大学学报（自然版） ›› 2017, Vol. 51 ›› Issue (6): 756-760.

流固耦合问题的精细积分求解法

吴泽玉1,2，王东炜3，汪志昊2，宋力1，费小霞4

1. 水利部堤防安全与病害防治工程技术研究中心，郑州 450003；
2. 华北水利水电大学土木与交通学院，郑州 450045；
3. 郑州大学土木工程学院，郑州 450000； 4. 河南省水利勘测设计研究有限公司，郑州 450000

出版日期:2017-06-30 发布日期:2017-06-30
基金资助:

Precise Integration Method for Solving FluidSolid Coupling Problems

WU Zeyu1,2,WANG Dongwei3,WANG Zhihao2,SONG Li1,FEI Xiaoxia4

1.Engineering Research Center of Embankment Safety and Disease Prevention and Control of
Ministry of Water Resource, Zhengzhou 450003, China; 2. School of Civil Engineering and
Communication, North China University of Water Resources and Electric Power, Zhengzhou 450045,
China; 3. Civil Engineering Department, Zhengzhou University, Zhengzhou 450000, China;
4. Henan Water and Power Engineering Consulting Co., Ltd., Zhengzhou 450000, China

Online:2017-06-30 Published:2017-06-30
Supported by:

摘要/Abstract

摘要： 为了解决流固耦合动力学求解效率和精度低等问题，提出了增维精细积分法.根据有限元理论推导流固耦合方程，将流固耦合方程改写成状态空间形式，在矩阵仅增加1维的情况下将积分运算转化为代数运算，扩大了精细积分法的应用范围，从而得到增维矩阵的流固耦合精细积分求解.同时，将增维精细积分法与Newmark法的计算结果进行对比，以验证其有效性.结果表明，由于不用求解矩阵H的逆矩阵，增维精细积分法避免了矩阵奇异带来的计算解的不稳定性.增维精细积分法与Newmark法的计算结果较吻合，且其在较大计算时间步长条件下的计算精度较高.

关键词: , 流固耦合, 动力时程分析, , 精细积分法

Abstract: In order to solve the problem of poor efficiency and low accuracy in solving fluidsolid coupling problems, the method of increasing dimension precise integration is introduced. According to the finite element theory, fluidsolid coupling equation can be derived; then the equation is written in the form of state space. The dimension of augmented matrix only enlarges one, and the integration is transformed into algebraic operation. It expands the scope of application of the precise integration method. The results show that because the inverse matrix of the iteration matrix H need not be solved, the instability of the computational solution caused by the singularity of the matrix is avoided. By comparing the results calculated by using the augmented precise integration method and the Newmark method, the results of the two ones are consistent, and in the case of a larger computation time step the proposed method does not affect the accuracy of calculation.

Key words: fluidsolid interaction, dynamic timehistory analysis; , precise integration method

中图分类号:

O175.3

吴泽玉1,2，王东炜3，汪志昊2，宋力1，费小霞4. 流固耦合问题的精细积分求解法[J]. 上海交通大学学报（自然版）, 2017, 51(6): 756-760.

WU Zeyu1,2,WANG Dongwei3,WANG Zhihao2,SONG Li1,FEI Xiaoxia4. Precise Integration Method for Solving FluidSolid Coupling Problems[J]. Journal of Shanghai Jiaotong University, 2017, 51(6): 756-760.

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