Data mining of Pareto-optimal transonic airfoil shapes using proper orthogonal decomposition

Akira Oyama, Taku Nonomura, Kozo Fujii

Research output: Contribution to journalArticlepeer-review

61 Citations (Scopus)


A new approach to extract useful design information from the shape data of Pareto-optimal solutions of an optimization problem is proposed and applied to the optimization of airfoil shapes for good aerodynamic performance at transonic speed. The proposed approach decomposes shape data into principal modes and corresponding base vectors, using proper orthogonal decomposition. The advantageofthe proposed approachisthat the knowledge one can obtain does not depend onhow the shape is parameterized for design optimization. Analysis of the airfoil shapes obtained as the Pareto-optimal solutions for aerodynamic performance at transonic speeds shows that the optimized airfoils can be categorized into three families (low-drag designs, high-lift-to-drag designs, and high-lift designs), where the lift is increased by changing the camber near the trailing edge among the low-drag designs, while the lift is increased by moving the lower surface upward among the high-lift designs.

Original languageEnglish
Pages (from-to)1756-1762
Number of pages7
JournalJournal of Aircraft
Issue number5
Publication statusPublished - 2010
Externally publishedYes

ASJC Scopus subject areas

  • Aerospace Engineering


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