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REDUCED ORDER MODELS OF VISCOUS FLOWS IN TURBOMACHINERY USING PROPER ORTHOGONAL DECOMPOSITION

Publication ,  Conference
Epureanu, BI; Dowell, EH; Hall, KC
Published in: ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
January 1, 1999

The proper orthogonal decomposition technique is applied in the frequency domain to obtain reduced order models (ROM) of the flow in a cascade of airfoils. The flow is described by a inviscid-viscous interaction model where the inviscid part is described by the full potential equation and the viscous part is described by an integral boundary layer model. The fully nonlinear steady flow is computed and the unsteady flow is linearized about the steady solution. A frequency domain model is constructed and validated showing to provide similar results when compared with previous computational and experimental data presented in the literature. A cascade of airfoils forming a slightly modified Tenth Standard Configuration is numerically investigated. We show that the ROMs with only 10 to 40 degrees of freedom predict accurately the unsteady response of the full system with approximately 10,000 degrees of freedom for the subsonic case. We also show that the ROMs with 15 to 75 degrees of freedom predict accurately the unsteady response of the full system with approximately 17, 500 degrees of freedom for the transonic case. The ROMs are shown to be accurate both for a broad range of reduced frequencies and a full spectrum of interblade phase angles.

Duke Scholars

Published In

ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)

DOI

ISBN

9780791816615

Publication Date

January 1, 1999

Volume

1999-N

Start / End Page

205 / 215
 

Citation

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Epureanu, B. I., Dowell, E. H., & Hall, K. C. (1999). REDUCED ORDER MODELS OF VISCOUS FLOWS IN TURBOMACHINERY USING PROPER ORTHOGONAL DECOMPOSITION. In ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE) (Vol. 1999-N, pp. 205–215). https://doi.org/10.1115/imece1999-1232
Epureanu, B. I., E. H. Dowell, and K. C. Hall. “REDUCED ORDER MODELS OF VISCOUS FLOWS IN TURBOMACHINERY USING PROPER ORTHOGONAL DECOMPOSITION.” In ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), 1999-N:205–15, 1999. https://doi.org/10.1115/imece1999-1232.
Epureanu BI, Dowell EH, Hall KC. REDUCED ORDER MODELS OF VISCOUS FLOWS IN TURBOMACHINERY USING PROPER ORTHOGONAL DECOMPOSITION. In: ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE). 1999. p. 205–15.
Epureanu, B. I., et al. “REDUCED ORDER MODELS OF VISCOUS FLOWS IN TURBOMACHINERY USING PROPER ORTHOGONAL DECOMPOSITION.” ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 1999-N, 1999, pp. 205–15. Scopus, doi:10.1115/imece1999-1232.
Epureanu BI, Dowell EH, Hall KC. REDUCED ORDER MODELS OF VISCOUS FLOWS IN TURBOMACHINERY USING PROPER ORTHOGONAL DECOMPOSITION. ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE). 1999. p. 205–215.

Published In

ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)

DOI

ISBN

9780791816615

Publication Date

January 1, 1999

Volume

1999-N

Start / End Page

205 / 215