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A Discrete Sensitivity Solver for an Industrial CFD Code via Automatic Differentiation
David W F Standingford & Shaun A Forth 

Published in 
Computational Fluid Dynamics 2002, Proceedings of The Second International Conference on Computational Fluid Dynamics, ICCFD, Sydney, Australia, 15-19 July, 2002 Springer 2003, pp82-87 ISBN 3-540-00793-3


Abstract 
We report on development and validation of a discrete sensitivity  solver for the BAE SYSTEMS/Airbus UK CFD code FLITE-3D.  We used the Odyssee automatic differentiation (AD) tool to create a discrete forward sensitivity version of FLITE-3D. Validation is via comparing sensitivities of integrated forces (lift, drag, side force) with respect to (w.r.t) angle-of-attack (AoA) , calculated using the sensitivity solver and central-differencing.  Validation, w.r.t. changes in the surface and field mesh, is performed by setting sensitivities of all mesh related quantities as if rotated by an infinitesimal angle D alpha.  Such sensitivities correspond to those calculated w.r.t AoA alpha.    We investigate calculating discrete sensitivities under 2 approximations regarding so-called mesh sensitivities, concluding that they are not applicable to FLITE-3D. We present results of a wing geometry optimisation using forward  sensitivities.

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