Iterative improved reduced system method of fluid-structure interaction with free surface

Abstract The aim of this study is to develop an iterative improved reduced system method for the model reduction of the fluid-structure interaction with free surface. The fluid-structure interaction with incompressible fluid for the interior fluid-structure problem involving a free surface without capillarity effects and a linear elastic structure is analyzed. The present study addresses a well-known asymmetric formulation that comprises structural displacement, fluid pressure of the free surface, and fluid pressure of the interior fluid. In this study, the formulation is reduced in a condensation manner, which is degree of freedom based reduced-order modeling. In particular, the proposed iterative scheme considers inertia terms and its equivalent transformation, thereby yielding a reduced model that more accurately reflects the features of the fully coupled system. The performance and convergence of this formulation are evaluated through numerical examples.