A multi-resolution SPH method for fluid-structure interactions

In this paper, we present a multi-resolution smoothed particle hydrodynamics (SPH) method for modeling fluid-structure interaction (FSI) problems. By introducing different smoothing lengths and time steps, the spatial-temporal discretization is applied with resolutions fluid structure. To ensure momentum conservation at coupling, position-based Verlet integration scheme introduced. Furthermore, time-averaged velocity acceleration of solid particles are introduced to enhance force matching in equations. A set numerical examples including several bio-mechanical problems considered demonstrate efficiency, accuracy robustness method. An open-source code all also provided.