Advances in Dierential Equations Volume xx, Number xxx, , Pages xx{xx BOUNDARY LAYER FOR A PENALIZATION METHOD FOR VISCOUS INCOMPRESSIBLE FLOW

Abstract. To compute the ow around an obstacle, it is now quite classical to add in the equations a penalization term on this obstacle. From a computational point of vue, this method gives very accurate results and avoid to use unstructured mesh to discretize the equations in complex geometry. The aim of this paper is to give a mathemati-cal explanation of such good results. This study is performed for the incompressible Navier Stokes equations