Research For A Typical Of Fluid-solid Coupling Problem And Software Design Based On SiPESC

With the development of modern engineering, sophisticated analyses of engineering structures need to consider the structure of poly-phase coupling increasingly. Based on the SiPESC platform, we analysis the fluid-solid coupling problem for a class, and discuss its numerical implementation. This paper mainly includes flutter frequency domain analysis of long-span bridges and structural wet modal analysis, what they have in common is the role of fluid can be embodied in the form of additional matrix and boiled down to eigenvalue problem solving.For the flutter analysis, additional matrix is stiffness and damping matrices. We first described the theory of bridge flutter frequency domain analysis, and designed the self defined matrix element module, global matrix dynamic assembling process, external eigenvalue algorithm package framework in the SiPESC platform. Based on these, we then designed the bridge flutter frequency domain analysis module. Finally, we verified the correctness and reasonableness of the program by the numerical examples.For the wet modal analysis of structures, additional matrix is the mass matrix. There are a variety of methods for added mass calculation of free vibration of structures in the water. Using the boundary element method to compute 3D added mass matrix has high precision and high efficiency. Wet modal analysis module of structures is designed on our previous work. In addition, consider the bottlenecks of conventional boundary element method in large-scale computing; this paper introduced a fast multipole algorithm for accelerating boundary integral calculations.On the SiPESC platform, we discussed the Fast Multipole algorithm framework, which has good openness and scalability, and also implemented a fast algorithm for two-dimensional potential problems. Through the numerical examples, we verified the correctness of additional mass and fast algorithm.