Reduced order models of viscous flows in turbomachinery using proper orthogonal decomposition

Published

Conference Paper

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 Authors

Cited Authors

  • Epureanu, BI; Dowell, EH; Hall, KC

Published Date

  • December 1, 1999

Published In

  • American Society of Mechanical Engineers, Fluids Engineering Division (Publication) Fed

Volume / Issue

  • 250 /

Start / End Page

  • 205 - 215

International Standard Book Number 10 (ISBN-10)

  • 0791816613

Citation Source

  • Scopus