Boundary layer for a penalization method for viscous incompressible flow

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 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 mathematical explanation of such good results. This study is performed for the incompressible Navier Stokes equations.

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