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报告内容摘要：
We introduce the immersed finite element method (IFEM) to solve numerically fluid-structure interaction problems. Since the immersed boundary method (IBM) has been developed by C. S. Peskin (1972), diverse methods stemming from IBM have appeared. The immersed finite element method (IFEM) is one of them. In the original IFEM, the reproducing kernel particle method (RKPM) plays a key role in distributing fluid-structure interacting (FSI) forces to the surrounding fluid. However, it has both advantage and disadvantage. It must be an advantage that distributing FSI force to the fluid and the induced fluid velocity to the structure is readily performed by the RKPM. On the contrary, the distributed FSI force from a structure to the fluid has larger support, so that it may cause the reduction of accuracy.
In this talk, fluid-structure interaction (FSI) problems in 2D between the incompressible Navier-Stokes flow and rigid structures are considered. We make use of the transformed finite element basis functions with which the discrete Dirac delta functions using RKPM can be replaced. This replacement makes the support of FSI force distributed to the fluid smaller than that in case where the discrete Dirac delta function is employed. In the finite element formulation, the support size reduction of the distributed FSI force apparently affects the accuracy of numerical solutions near the structure. Comparisons of our numerical solutions for particulate flows show this fact well. We calculate particulate flows of rigid structures and compare the results with others of reliability to show the accuracy. Interacting motions of two rigid bodies in fluid are illustrated, too. In this case, the simplest collision model between bodies is used. Finally, the interaction motion for rod type of rigid structure in the fluid is traced.

主持人：唐少强教授
时间：12月5日（周五）下午1:30
地点：力学楼434会议室

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