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Application of an Adjoint Method to Aerodynamic Design

[+] Author and Article Information
Luis Carlos de Castro Santos

Department of Applied Mathematics, Institute of Mathematics and Statistics, University of São Paulo, 05508-900 São Paulo, Brazil

Appl. Mech. Rev 50(11S), S193-S197 (Nov 01, 1997) doi:10.1115/1.3101834 History: Online April 20, 2009

Abstract

The theoretical development and implementation of an optimization technique based on optimal control method is presented for the two-dimensional full-potential flow model. This technique, in comparison with the classical finite-differences approach (brute force), provides major savings in the overall computational cost. The reduction on computational effort is due to the fact that the gradient of a cost function can be evaluated by a closed form equation after the solution of an adjoint equation. Since this adjoint equation is similar to the full-potential equation itself, the same solution algorithm is applied. Inverse design problems are solved using optimization in both subsonic and transonic flows. Also wave drag minimization is successfully accomplished.

Copyright © 1997 by American Society of Mechanical Engineers
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