A Fluid-Structure Interaction Simulation by Smoothed Particle Hydrodynamics

It is still difficult for traditional methods to simulate fluid-structure interaction (FSI) problems which are increasingly used to model cardiovascular system, and human organism. This contribution develops a new numerical method to analyze FSI, based on smoothed particle hydrodynamics (SPH). The Lagrangian and meshless characteristics of SPH presents distinct features to devise the method by which both fluid and elastic structure continua are coupled using a monolithic but explicit numerical algorithm. The method consists of a predictor-corrector scheme in which the first step plays the role of prediction, whereas in the second step velocity field is corrected according to the incompressibility constraint. The no-slip boundary condition is imposed on deformable walls by projecting the fluid velocities on ghost particles which carry with solid particles at the interface boundary. The method is employed to simulate pulsatory flow of an isothermal and incompressible fluid moving through flexible walls.