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
Full text (pdf)
@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
}