Textbook multigrid efficiencies for high Reynolds number simulations based on the incompressible Navier-Stokes equations are atained for a model problem of flow past a finiter rate plate. Elements of the Full Approximation Scheme multigrid algorithm, including distributed relaxation, defect correction, and boundary treatment, are presented for the three main physical aspects encountered: entering flow, wake flow, and boundary layer flow. Textbook efficiencies, i.e., reduction of algebraic errors below discetization errors in one full multigrid cycle, are attained for second order accurate simulations at a laminar Reynods number of 10,000.

Keywords. incompressible Navier-Stokes equations, textbook multigrid efficiency, distributiverelaxation, defect-correction iteration

Subject classification. Applied and Numerical Mathematics