A Parametrization Framework for Multi-Element Airfoil Systems Using Bézier Curves

Matthew G. Lauer, Phillip J. Ansell

Research output: Chapter in Book/Report/Conference proceedingConference contribution


When conducting shape optimization or aerodynamic design studies, one key step in the design process is the choice of a geometry parametrization method. A parametrization framework using a series of joined Bézier curves is proposed. This framework creates airfoil geometries satisfying point, slope, and curvature continuity across their entire domains. "Anchor" points, or points in two-dimensional, Cartesian space where the airfoil curves are required to pass through and at which the continuity constraints are enforced, can be added to the airfoils to facilitate the imposition of additional, configuration-specific constraints. Example cases of the framework are presented, including a very basic case of an airfoil comprised of two Bézier curves with order ≥ 4, a high-lift multi-element airfoil system, and a highly complex propulsion-airframe-integrated airfoil system. A Python implementation of the framework, pyairpar, is publicly available on the PyPi repository .

Original languageEnglish (US)
Title of host publicationAIAA AVIATION 2022 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624106354
StatePublished - 2022
EventAIAA AVIATION 2022 Forum - Chicago, United States
Duration: Jun 27 2022Jul 1 2022

Publication series

NameAIAA AVIATION 2022 Forum


ConferenceAIAA AVIATION 2022 Forum
Country/TerritoryUnited States

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Nuclear Energy and Engineering
  • Aerospace Engineering


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