Vortex penalization method for solid-porous-fluid media with application to passive flow control

In this work, a coupling of vortex methods with penalization methods is proposed in order to accurately and easily handle solid-fluid-porous media. This immersed boundary approach in- deed maintains the efficiency and the robustness of vortex meth- ods and allows to model the three different media without pre- scribing any boundary condition. In this paper, we propose an application of this immersed boundary method to passive flow control around a semi-circular cylinder, realized adding a porous sheath on the obstacle surface in order to smooth the flow dynam- ics