On the development of an implicit high-order Discontinuous Galerkin method for DNS and implicit LES of turbulent flows

The massively separated incompressible flow past a sphere at ReD=1000, with transition to turbulence in the wake region, is considered as a DNS test case, while the potential of the ILES is demonstrated by computing the compressible transitional flow at Rec=60 000, M∞=0.1 and α=8∘, around the Selig-Donovan 7003 airfoil. The computed solutions are compared with experimental data and numerical results available in the literature, showing good agreement.