An Arnoldi Approach for Generation of Reduced Order Models for Turbomachinery
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 do...
| Main Authors: | , , |
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| Format: | Technical Report |
| Language: | en_US |
| Published: |
Aerospace Computational Design Laboratory, Dept. of Aeronautics & Astronautics, Massachusetts Institute of Technology
2010
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| Online Access: | http://hdl.handle.net/1721.1/57612 |
| _version_ | 1811081276359180288 |
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| author | Willcox, Karen Peraire, Jaime White, Jacob |
| author_facet | Willcox, Karen Peraire, Jaime White, Jacob |
| author_sort | Willcox, Karen |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T11:44:11Z |
| format | Technical Report |
| id | mit-1721.1/57612 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:44:11Z |
| publishDate | 2010 |
| publisher | Aerospace Computational Design Laboratory, Dept. of Aeronautics & Astronautics, Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/576122019-04-13T00:05:20Z An Arnoldi Approach for Generation of Reduced Order Models for Turbomachinery Willcox, Karen Peraire, Jaime White, Jacob 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. 2010-08-27T20:16:17Z 2010-08-27T20:16:17Z 1999 Technical Report http://hdl.handle.net/1721.1/57612 en_US ACDL Technical Reports;FDRL TR-99-2 application/pdf Aerospace Computational Design Laboratory, Dept. of Aeronautics & Astronautics, Massachusetts Institute of Technology |
| spellingShingle | Willcox, Karen Peraire, Jaime White, Jacob An Arnoldi Approach for Generation of Reduced Order Models for Turbomachinery |
| title | An Arnoldi Approach for Generation of Reduced Order Models for Turbomachinery |
| title_full | An Arnoldi Approach for Generation of Reduced Order Models for Turbomachinery |
| title_fullStr | An Arnoldi Approach for Generation of Reduced Order Models for Turbomachinery |
| title_full_unstemmed | An Arnoldi Approach for Generation of Reduced Order Models for Turbomachinery |
| title_short | An Arnoldi Approach for Generation of Reduced Order Models for Turbomachinery |
| title_sort | arnoldi approach for generation of reduced order models for turbomachinery |
| url | http://hdl.handle.net/1721.1/57612 |
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