Airfoil shape optimization by minimization of an expensive and discontinuous black-box function

Yoel Tenne, Shigeru Obayashi, S. W. Armfield

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

This study addresses the problem of minimizing functions whose values are obtained by running an expensive computer simulation and where the simulation may fail to converge for some points, i.e. the objective function is discontinuous. An algorithm is proposed which is comprised of three major steps: generating a global surrogate model of the objective function; using an evolutionary algorithm to identify regions where minimizers are likely to exist and then using an efficient local search to converge to a minimizer. In order to handle discontinuity points we implement two mechanisms: a) a global penalty function is generated by interpolation and is used to modify the global surrogate model such that the function value predicted by the global surrogate model are increased in the vicinity of discontinuity points b) in case a discontinuity point is encountered during the local search the search region is temporarily reduced so as to seek a valid point in a smaller region around the current valid point. Performance analysis from minimization of mathematical test functions and a real-world application of airfoil shape optimization show the proposed algorithm efficiently minimizes expensive black-box functions with discontinuity points.

本文言語English
ホスト出版物のタイトルCollection of Technical Papers - 2007 AIAA InfoTech at Aerospace Conference
出版社American Institute of Aeronautics and Astronautics Inc.
ページ1691-1710
ページ数20
ISBN(印刷版)1563478935, 9781563478932
DOI
出版ステータスPublished - 2007
イベント2007 AIAA InfoTech at Aerospace Conference - Rohnert Park, CA, United States
継続期間: 2007 5 72007 5 10

出版物シリーズ

名前Collection of Technical Papers - 2007 AIAA InfoTech at Aerospace Conference
2

Other

Other2007 AIAA InfoTech at Aerospace Conference
国/地域United States
CityRohnert Park, CA
Period07/5/707/5/10

ASJC Scopus subject areas

  • 航空宇宙工学
  • 産業および生産工学

フィンガープリント

「Airfoil shape optimization by minimization of an expensive and discontinuous black-box function」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル