In this report it is investigated if the Manifold Mapping method can be used in airfoil optimization. Before the method can be implemented, a suitable airfoil parametrization must be chosen. Furthermore a coarse and fine model must be assigned. These models are the key to success for the Manifold Mapping method. If two models are chosen that are completely different from each other, the Manifold Mapping will not work properly. Furthermore, if two models are chosen that are very similar to each other, the benefit in reducing computational cost will be only marginal. In this report the Manifold Mapping method will be explained in detail and applied to airfoil design. The approach is validated by using a test case, which will also be explained in detail. Furthermore recommendations and extensions will be given in the last chapter.

Manifold Mapping, Defect correction, Airfoil optimization, Navier-Stokes, Potential equation, Finite Elements, Panel method, Response Surface Modelling"
Numerical methods (msc 49Mxx), Manifolds (msc 49Qxx), Optimization and variational techniques (msc 65K10), Flow control and optimization (msc 76D55)
Life Sciences (theme 5), Energy (theme 4)
Modelling, Analysis and Simulation [MAS]
Scientific Computing

van der Jagt, M. (2007). Airfoil optimization by using the Manifold Mapping method. Modelling, Analysis and Simulation [MAS]. CWI.