Analytic Full Potential Adjoint Solution for Two-dimensional Subcritical Flows

Abstract: We investigate the analytic adjoint solution of the two-dimensional (2D) full potential equation for subcritical flows for a cost function measuring aerodynamic force by the Green's function approach and by the connection of the adjoint full potential and compressible Euler equations. The solution for aerodynamic lift is written in terms of two unknown functions encoding the effect of perturbations to the Kutta condition. We analyze the properties of these functions from an analytic viewpoint and also by examining numerical adjoint solutions. We also discuss a possible formulation of the Kutta condition within the adjoint framework