Multi-level gradient-based methods and parametrization in aerodynamic shape design

Massimiliano Martinelli
Francois Beux


Article in European Journal of Computational Mechanics, Hermes-Lavoisier (29 pages)

Abstract: The present study focuses in multi-level approaches in the context of discrete gradient-based methods for aerodynamic shape design. More precisely, the minimization is done alternatively on different control subspaces according to multigrid-like cycles, providing at each sub-level a particular gradient preconditioning. Starting from an existing multi-level gradient-based formulation associated to shape grid-points coordinates, a possible generalization to more compact shape representations is proposed through the construction of adequate sets of embedded shape sub-parametrisations. The behaviour of the new formulation is illustrated on different 2D inverse problems for inviscid flows.

Keywords: Multi-level methods, Aerodynamic shape parameterization, Optimum shape design

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@article{martinelliBeux08,
  author = {Martinelli, M. and Beux, F.},
  title = {Multi-level gradient-based methods and parametrization in aerodynamic shape design},
  journal = {European Journal of Computational Mechanics},
  volume = {17},
  number = {1-2},
  pages = "169--197",
  year = 2008
}