- Epureanu, B.I. and Dowell, E.H. and Hall, K.C., Reduced-order models of unsteady transonic viscous flows in turbomachinery,
Journal of Fluids and Structures, vol. 14 no. 8
pp. 1215 - 1234  .
(last updated on 2007/04/10)
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. © 2000 Academic Press.