Adaptive parameterization for 3D shape optimization in aerodynamics

International audienceWe are interested to solve the problem of drag reduction in transonic regime. In Particular in this work, we optimize a geometrie of aircraft wing immersed in an inviscid flow. The shape is represented by using the so-called "Free-Form Deformation" approach based on 3D tensorial Bezier parameterization. In order to improve the convergence rate of the optimization algorithm and to reduce the critical dependency on the choice of the parameterization, an adaptive parameterization strategies by regularization is developed. Numerical experiment will be presented to demonstrate the efficiency of our approach by considering a geometric reconstruction problem and then a 3D shape optimization problem in aerodynamics