Compact implementation strategy for a harmonic balance method within implicit flow solvers

Journal Article (Journal Article)

A two-step approximate factorization technique for implementing a computationally stable nonlinear unsteady frequency-domain harmonic balance solution method within existing implicit computational fluid dynamic flow solver codes is presented. The approach uses an explicit discretization of the harmonic balance source term, and no new implicit code development is required. Both of these features enable the harmonic balance method to be implemented within existing implicit flow solver codes with minimal modification necessary to the underlying flow solver code. The resulting harmonic balance solver can then be used for modeling nonlinear periodic unsteady flows. The methodology is applied to the NASA OVERFLOW flow solver code, and results are presented for transonic viscous flow past an unsteady pitching airfoil section.

Full Text

Duke Authors

Cited Authors

  • Thomas, JP; Custer, CH; Dowell, EH; Hall, KC; Corre, C

Published Date

  • June 1, 2013

Published In

Volume / Issue

  • 51 / 6

Start / End Page

  • 1374 - 1381

International Standard Serial Number (ISSN)

  • 0001-1452

Digital Object Identifier (DOI)

  • 10.2514/1.J051823

Citation Source

  • Scopus