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We investigate the ability of discontinuous Galerkin (DG) methods to simulateunder-resolved turbulent flows in large-eddy simulation. The role of theRiemann solver and the subgrid-scale model in the prediction of a variety offlow regimes, including transition to turbulence, wall-free turbulence andwall-bounded turbulence, are examined. Numerical and theoretical results showthe Riemann solver in the DG scheme plays the role of an implicit subgrid-scalemodel and introduces numerical dissipation in under-resolved turbulent regionsof the flow. This implicit model behaves like a dynamic model and vanishes forflows that do not contain subgrid scales, such as laminar flows, which is acritical feature to accurately predict transition to turbulence. In addition,for the moderate-Reynolds-number turbulence problems considered, the implicitmodel provides a more accurate representation of the actual subgrid scales inthe flow than state-of-the-art explicit eddy viscosity models, includingdynamic Smagorinsky, WALE and Vreman. The results in this paper indicate newbest practices for subgrid-scale modeling are needed with high-order DGmethods.

On the ability of discontinuous Galerkin methods to simulate under-resolved turbulent flows