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

Abstract

This paper presents the development of a three-dimensional high-order solver with unstructured spectral difierence method. The solver employs the formulations of Sun et al. 22 It is implemented on unstructured hexahedral grid elements. It is flrstly validated using test problems of 2D and 3D subsonic inviscid ∞ows past a circular cylinder. The spectral difierence method constructs element-wise continuous flelds. Five difierent 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 ∞ow with analytic solution. The 3D SD method is flnally applied to a compressible turbulent channel ∞ow at Re? = 400. The predicted mean and r.m.s velocity proflles are in good agreement with DNS results of Moser et al. 15