The application of the boundary integral equations method to subsonic flow with circulation past thin airfoils in a wind tunnel (Q1341906)

We apply the direct boundary integral equations method to the title problem. A set of Green's functions for the equations for the velocity perturbation is deduced. These functions together with the nonlinear limit condition imposed just on the surface profile lead to a Fredholm integral equation of the second kind over the profile only. The numerical tests made for the circular obstacle show a very good agreement with the theory. Then numerical experiments on the NACA-4412 profile were made in order to determine the tunnel and the compressibility effects being compared to the unbounded flow.