Abstract
A finite element solution procedure is presented for solving the interaction problems of viscous incompressible fluid and a rigid body supported by elastic springs. The Arbitrary Lagrangian-Eulerian formulation is employed in order to treat the boundary conditions on the surface of the moving body strictly. A step-by-step solution procedure is derived by using the mixed finite element method as well as explicit time integration schemes. The solution procedure includes rediscretization of solution domain according to the displacements of the moving body. The pattern of the rediscretization is prescribed so as to avoid excessive element deformation. The characteristics of the present procedure are verified through solving the problems of an oscillating circular cylinder in a closed circular domain and an oscillating square cylinder in a uniform flow.
