Inverse airfoil design using the Navier Stokes equations

Eyi S., Lee K.

ENGINEERING OPTIMIZATION, vol.28, no.4, pp.245-262, 1997 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 4
  • Publication Date: 1997
  • Doi Number: 10.1080/03052159708941134
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.245-262
  • Middle East Technical University Affiliated: Yes


The feasibility of the use of the Navier-Stokes equations in aerodynamic design is examined. The Navier-Stokes equations can include the rotational viscous physics at transonic speeds, and hence are expected to produce more reliable designs. The target pressure is specified and a least-squares optimization is used to minimize the pressure discrepancy between the target and designed airfoils. The sensitivity analysis which determines the response of the flow to a geometry perturbation is performed based on a finite-difference evaluation. The performance of the design method is evaluated with various design practices.