A multi-resolution DFPM-PD model for efficient solution of FSI problems with structural deformation and failure

Abstract

This paper presents an accurate and efficient multi-resolution model for reproductions of fluid-structure interaction (FSI) issues involving intricate fluid flow phenomena, as well as structural deformation and failure. The proposed model comprises two modules, i.e., the decoupled finite particle method (DFPM) module for the solution of fluid flow, and the peridynamics (PD) module for simulating motion, deformation, fracture, and contact of structures. By employing distinct particle spacing and time step increments for the two modules, the model achieves spatial-temporal multi-resolution discretization. To address the fluid-structure interfacial region accurately, a disguised ghost particle (DGP) coupling scheme, incorporating a common smoothing length and a tensile instability control (TIC) technique, is developed. The particle inconsistency at the fluid-structure interface is resolved through the use of ghost particles and DFPM approximation, thus enabling more precise computation of interaction forces. Furthermore, a contact model is incorporated into the PD module to reflect contact interactions between solid structures. A set of benchmarks are investigated to validate the accuracy, robustness as well as efficiency of the presented multi-resolution model, and then it is further employed to simulate structural failure due to tsunami waves, which demonstrates its capability of handling engineering FSI problems with structural failure.