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Eigenmode analysis of unsteady flows about airfoils

Publication ,  Journal Article
Florea, R; Hall, KC
Published in: Journal of Computational Physics
December 10, 1998

We present a reduced-order modelling technique for analyzing the unsteady subsonic aerodynamic flow about isolated airfoils. To start, we model the flow using the time-linearized full potential equation. The linearized potential equation is discretized on a computational mesh composed of quadrilateral elements using a variational finite element technique. The resulting discretized equations are linear in the unknown potential, but quadratic in the reduced frequency of vibration. We compute the dominant (low frequency) eigenfrequencies and mode shapes of the unsteady fluid motion using a nonsymmetric Lanczos algorithm, and then we use these eigenmodes to construct a low degree-of-freedom reduced-order model of the unsteady flow field. A static correction technique is used to account for the high-frequency eigenmodes not retained in the model. We show that the unsteady flow can be modelled accurately using a relatively small number of eigenmodes. © 1998 Academic Press.

Duke Scholars

Published In

Journal of Computational Physics

DOI

ISSN

0021-9991

Publication Date

December 10, 1998

Volume

147

Issue

2

Start / End Page

568 / 593

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Florea, R., & Hall, K. C. (1998). Eigenmode analysis of unsteady flows about airfoils. Journal of Computational Physics, 147(2), 568–593. https://doi.org/10.1006/jcph.1998.6102
Florea, R., and K. C. Hall. “Eigenmode analysis of unsteady flows about airfoils.” Journal of Computational Physics 147, no. 2 (December 10, 1998): 568–93. https://doi.org/10.1006/jcph.1998.6102.
Florea R, Hall KC. Eigenmode analysis of unsteady flows about airfoils. Journal of Computational Physics. 1998 Dec 10;147(2):568–93.
Florea, R., and K. C. Hall. “Eigenmode analysis of unsteady flows about airfoils.” Journal of Computational Physics, vol. 147, no. 2, Dec. 1998, pp. 568–93. Scopus, doi:10.1006/jcph.1998.6102.
Florea R, Hall KC. Eigenmode analysis of unsteady flows about airfoils. Journal of Computational Physics. 1998 Dec 10;147(2):568–593.
Journal cover image

Published In

Journal of Computational Physics

DOI

ISSN

0021-9991

Publication Date

December 10, 1998

Volume

147

Issue

2

Start / End Page

568 / 593

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences