ABOU EL MAJD , Badr

This thesis aims at the development of innovating methods for optimum design in aerodynamics and more generally for multicriterion or multidisciplinary optimization problems in the aeronautical context. The first part is devoted to the improvement of efficiency of shape-optimization algorithms in terms of convergence. In a first section,...

The essential numerical features of multilevel strategies developed for parametric shape optimization are reviewed. These methods employ nested parameterization supports of either shape, or shape deformation, and the classical process of degree elevation resulting in exact geometrical data transfer from coarse to fine representations. The...

International audience

On s'intéresse au problème de l'optimisation multidisciplinaire, lorsque les disciplines sont prises en compte par des critères qui sont des fonctionnelles de solutions distribuées d'équations aux dérivées partielles. Pour le cas de deux disciplines, on propose une stratégie dans laquelle l'optimisation est décomposée en deux phases : (a) une...

Our efforts are mostly concentrated on improving the convergence rate of the numerical procedures both from the viewpoint of cost-efficiency and accuracy by handling the parametrization of the shape to be optimized. We employ nested parameterization supports of either shape, or shape deformation, and the classical process of degree elevation...

We are interested by the general problem consisting of minimizing a functional of a state field solution of a PDE state equation. In Particular in this work, we optimize a 3D wing shape immersed an in inviscid flow to reduce drag. Whence, each evaluation of the cost functional is computationally expensive. For improving the convergence rate of...

We have developed a multilevel and adaption parametric strategies solved by optimization algorithms which require only the availability of objective function values but no derivative information. The key success of these hierarchical strategies refer to the quality of the downward and upward transfers of information. In this paper, we extend...