Optimization of Airfoils Using the Adjoint Approach and the Influence of Adjoint Turbulent Viscosity

Autor: Matthias Schramm, Bernhard Stoevesandt, Joachim Peinke
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Computation, Vol 6, Iss 1, p 5 (2018)
Druh dokumentu: article
ISSN: 2079-3197
DOI: 10.3390/computation6010005
Popis: 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 R e = 2 × 10 6 for two different airfoils at different angles of attack.
Databáze: Directory of Open Access Journals