Practical contributions on the fictitious domain method for a Fluid-Structure Interaction problem

International audienceThe present study deals with the numerical simulation of a fluid-structure interaction problem. The fluid is represented by the incompressible Navier-Stokes equations and the structure is described by an ODE depending on two degrees of freedom. A recent fictitious domain method on a fixed mesh is considered. For that choice, we provide several tricks to meet the difficulties arising from the fluid-structure interaction. All developed tools can be applied to very general geometries and deformations of the structure. Finally, numerical simulations are conducted in a realistic aeronautics configuration