Geodesic
Multilevel gradient-based methods in aerodynamic shape design
Massimiliano Martinelli1 ; Francois Beux1
1 Scuola Normale Superiore di Pisa, 7 Piazza dei Cavalieri, 56126 Pisa, Italy. E-mail: max.martinelli@sns.it & fbeux@sns.it
ESAIM. Proceedings, Tome 22 (2008), pp. 175-180.

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A gradient-based method coupled with a multilevel approach is proposed for shape design in aerodynamics. This method extends an existing multilevel gradient-based formulation to another type of control subspaces, i.e. considering another set of subparametrisations and prolongation operators. More precisely, Bézier control points associated with the property of degree elevation are involved instead of shape grid-points coordinates and polynomial interpolation. The good behaviour of the new formulation is demonstrated on a classical 2D nozzle inverse problem considering an adjoint formulation as well as an approximate gradient associated to a one-shot method.
DOI : 10.1051/proc:072222

Massimiliano Martinelli 1 ; Francois Beux 1

1 Scuola Normale Superiore di Pisa, 7 Piazza dei Cavalieri, 56126 Pisa, Italy. E-mail: max.martinelli@sns.it & fbeux@sns.it 
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Massimiliano Martinelli; Francois Beux. Multilevel gradient-based methods in aerodynamic shape design. ESAIM. Proceedings, Tome 22 (2008), pp. 175-180. doi : 10.1051/proc:072222. http://geodesic.mathdoc.fr/articles/10.1051/proc:072222/

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