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Optimum Shape Design Using Automatic Differentiation in Reverse ModeThis paper shows how to use automatic differentiation in reverse mode as a powerful tool in optimization procedures. It is also shown that for aerodynamic applications the gradients have to be as accurate as possible. In particular, the effect of having the exact gradient of he first or second order spatial discretization schemes is presented. We show that the loss of precision in the gradient affects not only the convergence, but also the final shape. Both two and three dimensional configurations of transonic and supersonic flows have been investigated. These cases involve up to several thousand control parameters.
Document ID
19970005456
Acquisition Source
Ames Research Center
Document Type
Contractor Report (CR)
Authors
Hafez, M. (California Univ. Davis, CA United States)
Mohammadi, B. (California Univ. Davis, CA United States)
Pironneau, O. (California Univ. Davis, CA United States)
Date Acquired
September 6, 2013
Publication Date
July 1, 1996
Subject Category
Computer Programming And Software
Report/Patent Number
NASA-CR-202567
NAS 1.26:202567
Accession Number
97N13318
Funding Number(s)
CONTRACT_GRANT: NCC2-5049
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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