Application of Kriging response surface approach for optimal design of airfoil profile based on fictitious domain FEM

Abstract

In this paper, we present global shape identification in incompressible viscous flow based on the fictitious domain FEM and the Kriging response surface approach. In the fictitious domain FEM, foreground and background meshes are employed. If this method is employed for the moving body problems, remeshing is not necessary. In this study, we apply the fictitious domain FEM to identify an airfoil shape in an incompressible viscous flow field based on the Kriging response surface approach.