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Improving the efficiency of aerodynamic shape optimizationThe computational efficiency of an aerodynamic shape optimization procedure that is based on discrete sensitivity analysis is increased through the implementation of two improvements. The first improvement involves replacing a grid-point-based approach for surface representation with a Bezier-Bernstein polynomial parameterization of the surface. Explicit analytical expressions for the grid sensitivity terms are developed for both approaches. The second improvement proposes the use of Newton's method in lieu of an alternating direction implicit methodology to calculate the highly converged flow solutions that are required to compute the sensitivity coefficients. The modified design procedure is demonstrated by optimizing the shape of an internal-external nozzle configuration. Practically identical optimization results are obtained that are independent of the method used to represent the surface. A substantial factor of 8 decrease in computational time for the optimization process is achieved by implementing both of the design procedure improvements.
Document ID
Document Type
Reprint (Version printed in journal)
Burgreen, Greg W.
(Old Dominion Univ. Norfolk, VA, United States)
Baysal, Oktay
(Old Dominion Univ. Norfolk, VA, United States)
Eleshaky, Mohamed E.
(Old Dominion Univ. Norfolk, VA, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1994
Publication Information
Publication: AIAA Journal
Volume: 32
Issue: 1
ISSN: 0001-1452
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
Funding Number(s)
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