A Newton-Krylov Algorithm for Aerodynamic Analysis and Design

Abstract

A Newton-Krylov algorithm is presented for analysis and optimization of single- and multi-element airfoil configurations. The algorithm provides fast and robust convergence for the compressible Navier-Stokes equations with a one-equation turbulence model. Objective function gradients are efficiently computed using the preconditioned generalized minimum residual method to solve the discrete adjoint equations. A number of key features of the algorithm are highlighted. Several examples are given showing the effectiveness of the algorithm in high-lift system design, multi-point design, and generation of a Pareto front.