Numerical simulation of sloshing flows with elastic structure by coupling δ+-SPH and SPIM

In this paper, an FSI solver is developed by coupling δ+-SPH and SPIM to deal with sloshing flows involving large nonlinear deformations in both fluid and solid fields. The coupled scheme is achieved by exchanging information between the fluid and structure with the aid of FSI interface and ghost particles in the solid domain. The calculation of normal vector for the FSI force is corrected to ensure the accuracy in the circumstance of large distortion. Besides, the particle shifting technique is adapted to fit the characteristics of FSI problems. First, the hydrostatic water column on an aluminum plate and the dam breaking flow through gate are utilized to verify the stability, accuracy and energy conservation of the proposed method. Then, the different oil-depth sloshing flows with elastic baffle are simulated. Lastly, the sloshing process with double elastic baffles is conducted and compared with the single baffle one. The FSI model developed in this paper can give experimentally consistent free surface profiles, smooth and stable pressure fields as well as accurate baffle end displacements, which illustrates the potential of the current method in modelling complex sloshing flows.