Large Eddy Simulation of Compressible Turbulent Channel Flow with Spectral Difference method

This paper presents the development of a three-dimensional high-order solver with unstructured spectral difference method. The solver employs the formulations of Sun et al. It is implemented on unstructured hexahedral grid elements. It is firstly validated using test problems of 2D and 3D subsonic inviscid flows past a circular cylinder. The spectral difference method constructs element-wise continuous fields. Five different types of Riemann solvers are employed to deal with the discontinuity across elements. We demonstrate the spatial accuracy up to fourth-order using the viscous compressible Couette flow with analytic solution. The 3D SD method is finally applied to a compressible turbulent channel flow at Reτ = 400. The predicted mean and r.m.s velocity profiles are in good agreement with DNS results of Moser et al.