Using automatic differentiation to create a nonlinear reduced order model of a computational fluid dynamic solver

Published

Conference Paper

Presented is a technique for developing a nonlinear reduced order model of a computational fluid dynamic solver. The method is based on a Taylor series expansion of a frequency domain harmonic balance computational fluid dynamic solver residual. The computational routines used to compute the matrices and tensors of the Taylor series expansion are created using automatic differentiation. A Ritz type expansion using proper orthogonal decomposition shapes is then used in the Taylor series expansion to create the nonlinear reduced order model. Results are presented and compared to a linear reduced order model for an inviscid transonic airfoil configuration.

Duke Authors

Cited Authors

  • Thomas, JP; Dowell, EH; Hall, KC

Published Date

  • December 1, 2006

Published In

  • Collection of Technical Papers 11th Aiaa/Issmo Multidisciplinary Analysis and Optimization Conference

Volume / Issue

  • 4 /

Start / End Page

  • 2437 - 2449

International Standard Book Number 10 (ISBN-10)

  • 1563478234

International Standard Book Number 13 (ISBN-13)

  • 9781563478239

Citation Source

  • Scopus