AN UNFITTED FORMULATION FOR THE INTERACTION OF AN INCOMPRESSIBLE FLUID WITH A THICK STRUCTURE VIA AN XFEM/DG APPROACH

A numerical procedure that combines an extended finite element formulation and a discontinuous Galerkin technique is presented, with the final aim of providing an effective tool for the simulation of three-dimensional (3D) fluid-structure interaction problems. In this work we consider a thick structure immersed in a fluid. We describe the numerical models and discuss the specific implementation issues arising in three dimensions. Finally, 3D numerical results are provided to show the effectiveness of the approach.