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Hydroelastic Analysis of a Submerged Horizontal Plate Using a Coupled SPH-FEM Model

A coupled SPH-FEM model is established to study the hydroelastic interactions between waves and submerged horizontal plates. The fluid motion is governed by the continuity equation and Navier-Stokes (NS) equations, which are solved based on the smoothed particle hydrodynamics (SPH). The solid boundary condition is implemented with the dynamic boundary particles (DBPs), and the multi-layer DBPs technique is used to describe the thin plate. As for the structural deformation, it is governed by the structural dynamic equation and solved using the finite element method (FEM). Four-node square elements are used for mesh generation and the Newmark scheme is employed for time integration. To couple these two models, a novel attachment algorithm for the fluid-solid interface is proposed, and the Dirichlet–Neumann boundary condition is enforced in the weak coupling regime. The accuracy and robustness of the coupling model are checked through a numerical test of a hydrostatic water column on an elastic plate. Then the model is used to compare the hydroelastic performances of submerged horizontal plates with different rigidities. An equivalent conversion method is introduced to avoid using different spatial resolutions and excessive computational resources in the comparison. On this base, some valuable conclusions that have not been previously reported are drawn.