Parameterization adaption for 3D shape optimization in aerodynamics

Badr Abou El Majd


DOI: https://doi.org/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


Keywords


Numerical shape optimization; Free-Form Deformation; self-adaptive algorithm; compressible aerodynamics

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Published by Department of Chemical Engineering University of Diponegoro Semarang
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