Six Degrees of Freedom Simulation for Skipping Stones Based on Quaternion Method in SPH Framework

Six degrees-of-freedom (6-DOF) motion of structures and fluid–structure interactions (FSI) widely exist in engineering fields. It is significant to study the 6-DOF motion for simulating the motion trajectory and fluid–structure interactions. In this paper, the smoothed particle hydrodynamics (SPH) method combined with improved numerical techniques is used to simulate the fluid–structure interactions, and the 6-DOF equations based on the quaternion method are adopted to simulate the 6-DOF motion of skipping stones in the three-dimensional numerical tank. The accuracy of this method is verified by comparing it with the experimental snapshots, which can prove that the simulation results of skipping stones are in good agreement with the experimental results. As a result, the quaternion method can simulate water entry processes of structures with high-speed spin more accurately and is more suitable for the calculation of 6-DOF motion.