High Reynolds number Navier-Stokes solutions and boundary layer separation induced by a rectilinear vortex array

Numerical solutions of Prandtl’s equation and Navier Stokes equations areconsidered for the two dimensional flow induced by an array of periodic rec-tilinear vortices interacting with an infinite plane. We show how this initialdatum develops a separation singularity for Prandtl equation. We investigatethe asymptotic validity of boundary layer theory considering numerical solu-tions for the full Navier Stokes equations at high Reynolds numbers.