An Arnoldi Approach for Generation of Reduced Order Models for Turbomachinery
Name
FDRL_TR-99-2.pdf
Size
570.49 KB
Format
Adobe PDF
Checksum (MD5)
66e0b5b24ecccdce92c30df61b55a020
Author(s)
Willcox, Karen
Peraire, Jaime
White, Jacob
Date Issued
1999
Publisher
Aerospace Computational Design Laboratory, Dept. of Aeronautics & Astronautics, Massachusetts Institute of Technology
Series/Report no.
ACDL Technical Reports;FDRL TR-99-2
Abstract
A linear reduced-order aerodynamic model is developed for aeroelastic analysis of turbo-machines. The basis vectors are constructed using a block Arnoldi method. Although the model is cast in the time domain in state-space form, the spatial periodicity of the problem is exploited in the frequency domain to obtain these vectors efficiently. The frequency domain proper orthogonal decomposition is identified as a special case of the Arnoldi method. The aerodynamic model is coupled with a simple structural model that has two degrees of freedom for each blade. The technique is applicable to viscous and three-dimensional problems as well as multi-stage problems with inlet and exit disturbance flows, although here results are presented for two-dimensional, inviscid flow through a twenty-blade single-stage rotor. In this case, the number of states of the model is on the order of ten per blade passage, making it appropriate for control applications.
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