REDUCED-ORDER MODELS OF UNSTEADY TRANSONIC VISCOUS FLOWS IN TURBOMACHINERY

Authors: EPUREANU B.I.¹; DOWELL E.H.²; HALL K.C.²

Source: Journal of Fluids and Structures, Volume 14, Number 8, November 2000 , pp. 1215-1234(20)

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Abstract:

The proper orthogonal decomposition (POD) technique is applied in the frequency domain to obtain a reduced-order model of the unsteady flow in a transonic turbomachinery cascade of oscillating blades. The flow is described by a inviscid—viscous model, i.e. a full potential equation outer flow model and an integral equation boundary layer model. The nonlinear transonic steady flow is computed first and then the unsteady flow is determined by a small perturbation linearization about the nonlinear steady solution. Solutions are determined for a full range of frequencies and validated. The full model results and the POD method are used to construct a reduced-order model in the frequency domain. A cascade of airfoils forming the Tenth Standard Configuration is investigated to show that the reduced-order model with only 15–75 degrees of freedom accurately predicts the unsteady response of the full system with approximately 15 000 degrees of freedom. Copyright 2000 Academic Press

Language: English

Document Type: Research article

Affiliations: 1: Department of Mechanical Engineering, McGill University Montreal, QC, H3A 2K6, Canada 2: Department of Mechanical Engineering & Materials Science, Duke University, Durham, NC, 27708, U.S.A.

Publication date: 2000-11-01