| A fully-coupled algorithm is presented to solve aerodynamic design optimization problems. The discretized flow, adjoint, and optimality condition equations are solved as a single system of nonlinear equations using an inexact Newton method with linesearching. Quasi-1D, inverse, nozzle design and inviscid, 2D, inverse, airfoil shape design cases are solved, however the method is applicable to more general design cases.; While the system is approximately twice as large as the system describing the flow solution, fewer iterations are required to find the optimum. The most important advantage of this method is that only a single flow solve is needed to perform the optimization, as opposed to the discrete adjoint method which requires several. Many improvements have been made to the algorithm, both in the system formation and solution method. The result is an algorithm that is reliable, robust, accurate, and fast in providing optimum solutions for the cases considered. |
