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Optimization of airfoils using the adjoint approach and the influence of adjoint turbulent viscosity

: Schramm, Matthias; Stoevesandt, Bernhard; Peinke, Joachim

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Computation 6 (2018), No.1, Art. 5, 23 pp.
ISSN: 2079-3197
Journal Article, Electronic Publication
Fraunhofer IWES ()

The adjoint approach in gradient-based optimization combined with computational fluid dynamics is commonly applied in various engineering fields. In this work, the gradients are used for the design of a two-dimensional airfoil shape, where the aim is a change in lift and drag coefficient, respectively, to a given target value. The optimizations use the unconstrained quasi-Newton method with an approximation of the Hessian. The flow field is computed with a finite-volume solver where the continuous adjoint approach is implemented. A common assumption in this approach is the use of the same turbulent viscosity in the adjoint diffusion term as for the primal flow field. The effect of this so-called “frozen turbulence” assumption is compared to the results using adjoints to the Spalart–Allmaras turbulence model. The comparison is done at a Reynolds number of Re=2×106 for two different airfoils at different angles of attack.