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Three-dimensional aerodynamic shape optimization using discrete sensitivity analysis. (English) Zbl 0909.76082

We develop an efficient and practical three-dimensional design procedure based on discrete sensitivity analysis and capable of handling large numbers of design variables. The Euler equations are solved using a fully implicit unfactored algorithm. This new procedure is applied to the design of three-dimensional transport wings in transonic flow. We use a wing geometry model that is totally based on two- and three-dimensional Bezier-Bernstein parametrizations. Two wing design cases are presented; one case illustrates the procedure’s suitability to preliminary design, and the other demonstrates its ability to produce realistic realistic optimal shapes, even when starting from very elementary initial geometries.

MSC:

76M30 Variational methods applied to problems in fluid mechanics
76H05 Transonic flows