Abstract
The paper describes the Reduced Order Modelling (ROM) for the turbulent flow in a rotor-stator cavity, a configurations commonly encountered in secondary air system of aircraft engines. The proper orthogonal decomposition (POD) that uses data from Large Eddy Simulations (LES) is here considered in order to identify a set of orthonormal basis functions for the Galerkin projection of the Navier-Stokes equations. The POD-Galerkin procedure has been validated for the relative simple turbulent shear flow of a plane Couette flow. LES statistics and experimental measurements have been used as a benchmark and overall we may claim that the models studied reasonably well predict the turbulence phenomenon for the rotor-stator flow. Two novelty are introduced in this work: (i) the extension of the estimation of the turbulent eddy viscosity proposed by Aubry et al. [1] to problems with high Reynolds numbers and rotating flows; (ii) the derivation of a nonintrusive reduced order model for turbulent rotor-stator cavity flows.
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