For many years, the M2P2 laboratory develops highly accurate numerical tools devoted to the study of three-dimensional rapidly rotating flows. These enclosed or opened rotating flows simulate conditions found in a large variety of rotating machinery, including centrifugal pumps, air cycle machines, axial thrust bearings or gas turbines. The present work proposes a benchmark of two Large Eddy Simulation (LES) approaches developed recently in the lab: a fourth order compact finite difference code associated with the dynamic subgrid model and a pseudo-spectral one using a spectral vanishing viscosity technique. We focus on the rotor-stator problem, which is a simplified model of the flow inside rocket engines. The two LES codes have been favourably compared to velocity measurements performed at IRPHE using a two-component LDA system in the case of turbulent rotor-stator flows at Reynolds number equal to 0.4 million. A detailed and accurate picture of the flow for understanding the physics as well as for the assessment of turbulence models for rotating disk systems is provided.