Geodesic
Multilevel gradient-based methods in aerodynamic shape design
Massimiliano Martinelli1 ; Francois Beux1
1Scuola 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
Cet article a éte moissonné depuis la source EDP Sciences

Voir la notice de l'article

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 
@article{EP_2008_22_a22,
     author = {Massimiliano Martinelli and Francois Beux},
     title = {Multilevel gradient-based methods in aerodynamic shape design},
     journal = {ESAIM. Proceedings},
     pages = {175--180},
     year = {2008},
     volume = {22},
     doi = {10.1051/proc:072222},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:072222/}
}
TY  - JOUR
AU  - Massimiliano Martinelli
AU  - Francois Beux
TI  - Multilevel gradient-based methods in aerodynamic shape design
JO  - ESAIM. Proceedings
PY  - 2008
SP  - 175
EP  - 180
VL  - 22
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc:072222/
DO  - 10.1051/proc:072222
LA  - en
ID  - EP_2008_22_a22
ER  - 
%0 Journal Article
%A Massimiliano Martinelli
%A Francois Beux
%T Multilevel gradient-based methods in aerodynamic shape design
%J ESAIM. Proceedings
%D 2008
%P 175-180
%V 22
%U http://geodesic.mathdoc.fr/articles/10.1051/proc:072222/
%R 10.1051/proc:072222
%G en
%F EP_2008_22_a22
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

Cité par Sources :