Automatic transition from simulation to one-shot shape optimization with Navier-Stokes equations

We introduce the one-shot method and its application to aerodynamic shape optimization, where the governing equations are the incompressible Reynolds-Averaged Navier-Stokes (RANS) equations in combination with the k - ω turbulence model. We constrain the oneshot strategy to problems, where steady-state solutions are achieved by fixed-point iteration schemes. The one-shot optimization strategy pursues optimality simultaneously with the goals of primal and adjoint feasibility. To exploit the domain specific experience and expertise invested in the simulation tools, we propose to extend them in an automated fashion by the use of automatic differentiation (AD) tools. First, they are automatically augmented with an adjoint solver to obtain (reduced) derivatives and then this sensitivity information is immediately used to determine optimization corrections. © 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.