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LARGE EDDY SIMULATION AND MEASUREMENTS IN A TURBULENT ROTOR-STATOR FLOW

Eric Severac
Institute of Fluid Mechanics, Dresden University of Technology,George-Bähr-Str. 3c, D-01062, Germany

Sebastien Poncet
Laboratoire M2P2, UMR CNRS 7340 Aix-Marseille Universite / CNRS 38, rue Frederic Joliot-Curie 13451 MARSEILLE Cedex 13

Eric Serre
Aix-Marseille Universite, CNRS, Ecole Centrale Marseille, Laboratoire M2P2, Marseille, France

Marie-Pierre Chauve
Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE), UMR CNRS 6594, Technopôle Château Gombert, 49 rue F. Joliot-Curie, B.P.146, 13384 Marseille Cedex 13 − France

Abstract

Comparisons between large eddy simulation (LES) and velocity measurements have been performed for a turbulent flow in a real shrouded rotor-stator configuration. The LES model is based on Spectral Vanishing Viscosity (SVV). The key particularity of this model is that the SVV is active only at the short length scales, a feature which is required to accurately capture the complexity of the flow. Thus, numerical results are shown to compare very favourably with experimental measurements at rotational Reynolds numbers Re = Ω.b2/v = 106 in an annular cavity of radius ratio s(= a/b) = 0.286 and of aspect ratio G = (b − a)/h = 5, where a and b are respectively the inner and outer radii of the rotating disk and h is the inter-disk spacing. The spectral vanishing viscosity, first introduced by E. Tadmor for the inviscid Burgers equation [SIAM J. Numer. Anal. 26, 30 (1989)], is incorporated into the cylindrical Navier-Stokes equations written in velocity pressure formulation. The second-order operator involved by the SVV-method is implemented in a Chebyshev-collocation Fourier-Galerkin pseudo-spectral code. As far as the authors are aware, LES of fully turbulent flow in an actual shrouded rotor-stator cavity have not been performed before.