Residual schemes applied to an embedded method expressed on unstructured adapted grids

The interest on embedded boundary methods is increasing in Computational FluidDynamics because they simplify the mesh generation problem when dealing with the Navier-Stokesequations. To give a few examples, they simplify the simulation of multi-physics flows, the couplingof fluid-solid interactions in situation of large motions or deformations. Nevertheless an accuratetreatment of the wall boundary conditions remains an issue of the method. In this work, a penaltyterm added to the Navier-Stokes equations accounts for the wall boundary conditions and accuracyis recovered using mesh adaptation, thanks to the potential of unstructured meshes