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Issue ESAIM: PROC
Volume 27, 2009
CANUM 2008
Page(s) 138 - 155
DOI 10.1051/proc/2009024
Published online 25 June 2009

ESAIM: Proc., 2009, Vol. 27, pp. 138-155
DOI: 10.1051/proc/2009024

Calcul de la sensibilité d'ordre deux d'une observation aérodynamique

Ludovic Martin1, 2 and Gilbert Roge1

1  Dassault Aviation, 78 quai Marcel Dassault, 92552 Saint-Cloud, FRANCE
2  Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, FRANCE


Published online: 25 June 2009

Abstract
This paper outlines a new formulation for Hessian calculation for a functional of interest for aerodynamic applications with regards to shape parameters. An analysis of the order of the computational cost and memory required shows that an industrial use is possible. After having described the implementation strategy, we validate our code with two test cases (fuselage and ONERA M6 wing).



Résumé
Cet article présente une nouvelle formulation permettant de calculer la matrice hessienne d'une observation aérodynamique par rapport à des paramètres de définition de la géométrie. Une analyse du nombre d'opérations à réaliser ainsi que de l'espace mémoire nécessaire montre que son utilisation industrielle s'avère possible. Après avoir présenté la stratégie d'implémentation, nous validons cette sensibilité seconde sur deux cas-test (fuselage et aile ONERA M6). 




© EDP Sciences, ESAIM 2009


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