A novel technique for computing unsteady flows about turbomachinery cascades is presented. Starting with a frequency domain CFD description of unsteady aerodynamic flows, we form a large, sparse, generalized, non-Hermitian eigenvalue problem that describes the natural modes and frequencies of fluid motion about the cascade. We compute the dominant left and right eigenmodes and corresponding eigenfrequencies using a Lanczos algorithm. Then, using just a few of the resulting eigenmodes, we construct a reduced order model of the unsteady flow field. With this model, one can rapidly and accurately predict the unsteady aerodynamic loads acting on the cascade over a wide range of reduced frequencies and arbitrary modes of vibration. Moreover, the eigenmode information provides insights into the physics of unsteady flows. Finally we note that the form of the reduced order model is well suited for use in active control of aeroelastic and aeroacoustic phenomena.
Skip Nav Destination
Article navigation
July 1995
Research Papers
A Reduced Order Model of Unsteady Flows in Turbomachinery
K. C. Hall,
K. C. Hall
Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC 27708
Search for other works by this author on:
R. Florea,
R. Florea
Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC 27708
Search for other works by this author on:
P. J. Lanzkron
P. J. Lanzkron
Raytheon Company, Marlborough, MA 01752
Search for other works by this author on:
K. C. Hall
Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC 27708
R. Florea
Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC 27708
P. J. Lanzkron
Raytheon Company, Marlborough, MA 01752
J. Turbomach. Jul 1995, 117(3): 375-383 (9 pages)
Published Online: July 1, 1995
Article history
Received:
February 25, 1994
Online:
January 29, 2008
Citation
Hall, K. C., Florea, R., and Lanzkron, P. J. (July 1, 1995). "A Reduced Order Model of Unsteady Flows in Turbomachinery." ASME. J. Turbomach. July 1995; 117(3): 375–383. https://doi.org/10.1115/1.2835672
Download citation file:
Get Email Alerts
Related Articles
Eigenmode Analysis in Unsteady Aerodynamics: Reduced Order Models
Appl. Mech. Rev (June,1997)
The Development of Fast Response Aerodynamic Probes for Flow Measurements in Turbomachinery
J. Turbomach (October,1995)
Prediction of Steady and Unsteady Flow Quantities Using Multiscale Graph Neural Networks
J. Turbomach (July,2025)
Related Chapters
List of Commercial Codes
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
FKT Based Linear Precoding for Multiuser Multiple Input Multuple Output System
International Conference on Computer Engineering and Technology, 3rd (ICCET 2011)
An Robust Eye Gaze Tracking Eigenvalue Extraction Algorithm Based on 2-D Mapping Model
International Conference on Computer Research and Development, 5th (ICCRD 2013)