Material Point Method and Adaptive Meshing Applied to Fluid-Structure Interaction (FSI) Problems

Material point method (MPM) is a powerful tool to handle material large deformation, discontinuities, and material moving interfaces problems where typical finite element methods (FEMs) could be very expensive and frequently fail. Material point method, in essence, is a weak formulation of the Particle-in-cell (PIC) method which has been developed initially for fluid dynamic problems. Recent years have seen extensive development of algorithm and impressive applications of MPM in engineering problems. Compared to its big success in material and structure modeling, the application of MPM to multiphase flows and fluid-structure interactions (FSIs) problems is relative scarce, in particular, the studies of fluid-induced deformation and motion of solids are limited due to their highly computational cost. In this short paper we discuss the computational efficiency by combining MPM with the adaptive mesh refinement (AMR) techniques to simulate FSI problems. Several test cases of 2D and 3D fluid-solid coupling flow problems are simulated and analyzed. The comparison with previous simulation results is shown in detail.