@article {EPUREANU:November 2000:0889-9746:1215, author = "EPUREANU B.I.", author = "DOWELL E.H.", author = "HALL K.C.", title = "REDUCED-ORDER MODELS OF UNSTEADY TRANSONIC VISCOUS FLOWS IN TURBOMACHINERY", journal = "Journal of Fluids and Structures", volume = "14", year = "November 2000", 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

", pages = "1215-1234(20)", url = "http://www.ingentaconnect.com/content/ap/fl/2000/00000014/00000008/art00320" }