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Reduced order modeling of unsteady flows about airfoils

Publication ,  Conference
Florea, R; Hall, KC
Published in: American Society of Mechanical Engineers, Aerospace Division (Publication) AD
December 1, 1994

We present a reduced order modeling technique for analyzing the unsteady 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 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 modeled accurately using a relatively small number of eigenmodes.

Duke Scholars

Published In

American Society of Mechanical Engineers, Aerospace Division (Publication) AD

ISSN

0733-4230

Publication Date

December 1, 1994

Volume

44

Start / End Page

49 / 68

Related Subject Headings

  • Aerospace & Aeronautics
 

Citation

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Florea, R., & Hall, K. C. (1994). Reduced order modeling of unsteady flows about airfoils. In American Society of Mechanical Engineers, Aerospace Division (Publication) AD (Vol. 44, pp. 49–68).
Florea, R., and K. C. Hall. “Reduced order modeling of unsteady flows about airfoils.” In American Society of Mechanical Engineers, Aerospace Division (Publication) AD, 44:49–68, 1994.
Florea R, Hall KC. Reduced order modeling of unsteady flows about airfoils. In: American Society of Mechanical Engineers, Aerospace Division (Publication) AD. 1994. p. 49–68.
Florea, R., and K. C. Hall. “Reduced order modeling of unsteady flows about airfoils.” American Society of Mechanical Engineers, Aerospace Division (Publication) AD, vol. 44, 1994, pp. 49–68.
Florea R, Hall KC. Reduced order modeling of unsteady flows about airfoils. American Society of Mechanical Engineers, Aerospace Division (Publication) AD. 1994. p. 49–68.

Published In

American Society of Mechanical Engineers, Aerospace Division (Publication) AD

ISSN

0733-4230

Publication Date

December 1, 1994

Volume

44

Start / End Page

49 / 68

Related Subject Headings

  • Aerospace & Aeronautics