Abstract
In this paper we consider the shape optimization of a transonic airfoil whose aerodynamic properties are calculated by a structured Euler solver. The optimization strategy is based on a one-shot technique in which pseudo time-steps of the primal and the adjoint solver are iterated simultaneously with design corrections done on the airfoil geometry. The adjoint solver which calculates the necessary sensitivities is based on discrete adjoints and derived by using reverse mode of automatic differentiation. A new preconditioner which is derived by considering an augmented Lagrangian formulation of the optimization problem is employed in order to achieve bounded retardation of the overall optimization process. A design example of drag minimization for an RAE2822 airfoil under transonic flight conditions is included.
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Özkaya, E., Gauger, N.R. (2009). Single-step One-shot Aerodynamic Shape Optimization. In: Kunisch, K., Sprekels, J., Leugering, G., Tröltzsch, F. (eds) Optimal Control of Coupled Systems of Partial Differential Equations. International Series of Numerical Mathematics, vol 158. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-8923-9_11
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DOI: https://doi.org/10.1007/978-3-7643-8923-9_11
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