IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v15y2022i20p7722-d947048.html
   My bibliography  Save this article

Aerodynamic Shape Optimization with Grassmannian Shape Parameterization Method

Author

Listed:
  • Yang Zhang

    (State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, China)

  • Bo Pang

    (State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, China)

  • Xiankai Li

    (Yangzhou Collaborative Innovation Research Institute Co., Ltd., Yangzhou 225003, China)

  • Gang Chen

    (State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, China)

Abstract

The conventional method of optimizing the aerodynamic performance of an airfoil heavily depends on the confines of the design space. The design variables create a non-normalized space that is fragmented into several different clusters of airfoils. An approach that is data-driven and deforms airfoils over a Grassmannian submanifold is utilized in the work that is being presented here. The affine deformation, which includes camber and thickness, can be uncoupled from the method that is currently in use, and the operations that are performed on the airfoil shape can be made smooth enough to prevent unreasonable shapes from being produced. The CST method is also a part of the current study so that a comparison can be made between the two. A new method to describe the airfoil geometries over the Grassmannian space was generated using a dataset that contained 7007 different shapes of airfoils. These two methods are used to parameterize the subsonic (NACA0012) and transonic (RAE2822) airfoils, and the new method cuts the number of design variables from twelve to six, resulting in a reduction in overall complexity. The findings demonstrate that the new method maintains a high degree of consistency regardless of the flow conditions.

Suggested Citation

  • Yang Zhang & Bo Pang & Xiankai Li & Gang Chen, 2022. "Aerodynamic Shape Optimization with Grassmannian Shape Parameterization Method," Energies, MDPI, vol. 15(20), pages 1-13, October.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:20:p:7722-:d:947048
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/15/20/7722/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/15/20/7722/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:15:y:2022:i:20:p:7722-:d:947048. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.