An enhanced ISPH–SPH coupled method for simulation of incompressible fluid–elastic structure interactions

Abstract

An enhanced fully-Lagrangian meshfree computational method is developed for simulating incompressible fluid–elastic structure interactions. The developed method corresponds to a SPH (Smoothed Particle Hydrodynamics)-based coupled FSI (Fluid–Structure Interaction) solver. Coupling is conducted in between a projection-based ISPH (Incompressible SPH) fluid model and a newly developed SPH-based structure model in a mathematically–physically consistent manner. Fluid model is founded on the solution of Navier–Stokes and continuity equations while structure model is set on conservation laws for linear and angular momenta corresponding to an isotropic elastic solid. A set of previously developed enhanced schemes are incorporated for the ISPH fluid model, hence, the developed coupled method is referred to as Enhanced ISPH–SPH. The performance of SPH-based structure model is first validated in reproduction of benchmark tests including dynamic response of a free oscillating cantilever plate and stress distribution inside an isotropic plate with a circular opening. Then the Enhanced ISPH–SPH is scrupulously verified through simulations of FSI problems including hydrostatic water column on an elastic plate, dam break with an elastic gate, sloshing in tanks with elastic baffles and hydroelastic slammings of an elastic aluminum wedge and a marine panel. To the best knowledge of the authors, this paper presents the first semi-implicit/explicit ISPH–SPH coupled method for FSI related to deformable elastic structures with comprehensive validations and performance investigations.