An improved higher-order moving particle semi-implicit method for simulations of two-dimensional hydroelastic slamming

Abstract

An improved higher-order moving particle semi-implicit (MPS) method has been developed to solve the problem of fluid–structure interactions for an elastic wedge entering calm water. The structural responses of the wedge with a reinforced tip were computed during the water entry. In the present method, the pressure gradient is corrected to guarantee the first-order consistency and to satisfy the conservation of momentum. Different particle spacings are used for the fluid and the structure. Convergence studies were carried out on particle spacings for the fluid and the structure and on a time step. A particle convergence index method was applied to evaluate numerical uncertainties in the improved MPS method. Validation studies were carried out on two elastic wedges with deadrise angles of 30° and 20° entering water at various velocities. Numerical solutions were compared with the results from the original higher-order MPS method and experimental data. The improved higher-order MPS methods led to better agreement with experimental data than the original one and significantly reduced the oscillations in numerical solutions.