Using automatic differentiation to create a nonlinear reduced-order-model aerodynamic solver


Journal Article

A novel nonlinear reduced-order-modeling technique for computational aerodynamics and aeroelasticity is presented. The method is based on a Taylor series expansion of a frequency-domain harmonic balance computational fluid dynamic solver residual. The first- and second-order gradient matrices and tensors of the Taylor series expansion are computed using automatic differentiation via FORTRAN 90=95 operator overloading. A Ritz-type expansion using proper orthogonal decomposition shapes is then used in the Taylor series expansion to create the nonlinear reduced-order model. The nonlinear reduced-order-modeling technique is applied to a viscous flow about an aeroelastic NLR 7301 airfoil model to determine limit cycle oscillations. Computational times are decreased from hours to seconds using the nonlinear reduced-order model. Copyright © 2009 by Jeffrey P. Thomas, Earl H. Dowell, and Kenneth C. Hall.

Full Text

Duke Authors

Cited Authors

  • Thomas, JP; Dowell, EH; Hall, KC

Published Date

  • January 1, 2010

Published In

Volume / Issue

  • 48 / 1

Start / End Page

  • 19 - 24

International Standard Serial Number (ISSN)

  • 0001-1452

Digital Object Identifier (DOI)

  • 10.2514/1.36414

Citation Source

  • Scopus