Badr Abou El Majd
Department of mathematics and computer science, Hassan II University B.P. 5366 Maârif, Casablanca

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Parameterization adaption for 3D shape optimization in aerodynamics Badr Abou El Majd
International Journal of Science and Engineering Vol 6, No 1 (2014)
Publisher : Chemical Engineering Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (799.818 KB) | DOI: 10.12777/ijse.6.1.61-69

Abstract

When solving a PDE problem numerically, a certain mesh-refinement process is always implicit, and very classically, mesh adaptivity is a very effective means to accelerate grid convergence. Similarly, when optimizing a shape by means of an explicit geometrical representation, it is natural to seek for an analogous concept of parameterization adaptivity. We propose here an adaptive parameterization for three-dimensional optimum design in aerodynamics by using the so-called “Free-Form Deformation” approach based on 3D tensorial Bézier parameterization. The proposed procedure leads to efficient numerical simulations with highly reduced computational costs.[How to cite this article:  Majd, B.A.. 2014. Parameterization adaption for 3D shape optimization in aerodynamics. International Journal of Science and Engineering, 6(1):61-69. Doi: 10.12777/ijse.6.1.61-69