Precise Integration Method for Solving FluidSolid Coupling Problems

Abstract

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

CLC Number:

O175.3

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

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