Boundary layer for a penalization method for viscous incompressible flow

Abstract

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