A novel smoothed particle hydrodynamics and finite element coupling scheme for fluid–structure interaction: The sliding boundary particle approach

A novel numerical formulation for solving fluid-structure interaction (FSI) problems is proposed where the fluid field spatially discretized using smoothed particle hydrodynamics (SPH) and structural finite element method (FEM). As compared to fully mesh- or grid-based FSI frameworks, due Lagrangian nature of SPH this framework can be easily extended account more complex fluids consisting multiple phases dynamic phase transitions. Moreover, approach facilitates handling large deformations domain respectively interface without additional methodological computational efforts. In particular, achieve an accurate representation forces between particles elements also strongly curved geometries, sliding boundary ensure full support close interface. The coupling based on a Dirichlet-Neumann partitioned approach, Dirichlet partition with prescribed displacements Neumann subject forces. To overcome instabilities inherent weakly coupled schemes iterative fixed-point scheme employed. Several examples in form well-known benchmark tests are considered validate accuracy, stability, robustness formulation. Finally, filling process highly flexible thin-walled balloon-like container studied, representing model problem potential application scenarios biomechanics.