Abstract
We propose a methodology for adjoint-based optimum design that combines hand-coding with Automatic Differentiation in the reverse mode, therefore managing to keep the memory cost acceptable. This methodology also involves improvements to the reverse mode differentiation, based on dataflow information on the original program. We validate the method on a real-size 3D optimum design problem: reducing the sonic boom under a supersonic aircraft.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Griewank, A.: Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation. SIAM (2000)
Corliss, G., Faure, C., Griewank, A., Hascoet, L., Naumann, U. (editors): Automatic Differentiation of Algorithms, from Simulation to Optimization. Springer (2002) Selected proceedings of AD2000, Nice, France.
Hascoet, L., Fidanova, S., Held, C.: Adjoining independent computations. in [2] (2001) 185–190
Hascoet, L., Greborio, R.M., Pascual, V.: Computing adjoints by Automatic Differentiation with tapenade. Research report to appear, INRIA (2003) On-line documentation on www-sop.inria.fr/tropics/tapenade.html.
Vázquez, M., Dervieux, A., Koobus, B.: Aerodynamical and sonic boom optimization of a supersonic aircraft. Research report 4520, INRIA (2002)
Huffman, W., Melvin, D., Young, D., Johnson, F., Bussoletti, J., Bieterman, M., Hilmes, C.: Practical design and optimization in computational fluid dynamics. AIAA paper 93-3111 (1993)
Mortchelewicz, G.: Résolution des équations d’Euler tridimensionnelles instationnaires en maillages non structurés. La Recherche Aérospatiale 6 (1991) 17–25
Seebas, R., Argrow, B.: Sonic boom minimization revisited. AIAA paper 98-2956 (1998)
Maglieri, D., Plotkin, K.: Aeroacoustics of flight vehicles: theory and practice. Acoustical Society of America publications (1991)
Stoufflet, B., Periaux, J., Fezoui, L., Dervieux, A.: 3-D hypersonic Euler numerical simulation around space vehicles using adapted finite elements. AIAA paper 86-0560 (1987) 25th AIAA Aerospace Meeting, Reno, Nevada.
Jameson, A.: Aerodynamic design via control theory. Journal of Scientific Computing 3 (1988) 233–260
Courty, F., Dervieux, A., Koobus, B., Hascoet, L.: Reverse Automatic Differentiation for optimum design: from adjoint state assembly to gradient computation. Research report 4363, INRIA (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hascoët, L., Vázquez, M., Dervieux, A. (2003). Automatic Differentiation for Optimum Design, Applied to Sonic Boom Reduction. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2668. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44843-8_10
Download citation
DOI: https://doi.org/10.1007/3-540-44843-8_10
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40161-2
Online ISBN: 978-3-540-44843-3
eBook Packages: Springer Book Archive