Abstract We investigate two control problems related to the aerodynamic optimization of flows around airfoils in high-lift configurations. The first issue is the steady state maximization of lift subject to restrictions on the drag. This leads to a boundary control problem for the 2D stationary Navier-Stokes equations with constrained controls functions belonging to L 2 (Γ ) under an integral state constraint. We derive optimality conditions and treat the problem numerically by direct solution of the associat…
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