Eigenmode Analysis in Unsteady Aerodynamics: Reduced Order Models

[+] Author and Article Information
Earl H. Dowell, Kenneth C. Hall

Department of Mechanical Engineering and Materials Science, School of Engineering, Duke University, Durham, N Carolina

Michael C. Romanowski

Pratt and Whitney, E Hartford, Connecticut

Appl. Mech. Rev 50(6), 371-386 (Jun 01, 1997) (16 pages) doi:10.1115/1.3101718 History: Online April 20, 2009


In this article, we review the status of reduced order modeling of unsteady aerodynamic systems. Reduced order modeling is a conceptually novel and computationally efficient technique for computing unsteady flow about isolated airfoils, wings, and turbomachinery cascades. Starting with either a time domain or frequency domain computational fluid dynamics (CFD) analysis of unsteady aerodynamic or aeroacoustic flows, a large, sparse eigenvalue problem is solved using the Lanczos algorithm. Then, using just a few of the resulting eigenmodes, a Reduced Order Model of the unsteady flow is constructed. With this model, one can rapidly and accurately predict the unsteady aerodynamic response of the system over a wide range of reduced frequencies. Moreover, the eigenmode information provides important insights into the physics of unsteady flows. Finally, the method is particularly well suited for use in the active control of aeroelastic and aeroacoustic phenomena as well as in standard aeroelastic analysis for flutter or gust response. Numerical results presented include: 1) comparison of the reduced order model to classical unsteady incompressible aerodynamic theory, 2) reduced order calculations of compressible unsteady aerodynamics based on the full potential equation, 3) reduced order calculations of unsteady flow about an isolated airfoil based on the Euler equations, and 4) reduced order calculations of unsteady viscous flows associated with cascade stall flutter, 5) flutter analysis using the Reduced Order Model. This review article includes 25 references.

Copyright © 1997 by American Society of Mechanical Engineers
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