Abstract
In this study, performances of a projection method for the interaction system of an incompressible fluid and a flexible elastic structure are evaluated. The proposed projection method splits the monolithic equation system into the equilibrium equations and the pressure Poisson equation (PPE) using the intermediate velocity in the nonlinear iterative procedure. The monolithic equation system has the drawbacks of the large degrees of freedoms and the ill-condition. The proposed formulation reduces these drawbacks. The performance of the proposed projection method is demonstrated using a channel with a flexible flap, which is one of typical test problems, and a flapping flexible wing in a closed tank with comparable fluid and structural mass densities. It follows from the results for these numerical examples that the proposed projection method is efficient for the cases, where some conventional monolithic and partitioned methods would suffer the numerical difficulties.
