On the accuracy of high-order discretizations for underresolved turbulence simulations

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Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations (2016, methodology): “However, recent investigations show that it is possible to achieve quite accurate results with (very) high-order DG schemes, even with under-resolution as long as proper de-aliasing mechanisms are augmented [15].”
Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows (2015, methodology): “We compare the energy spectra obtained solving all the cases considered before with the DNS computed by [58], using the same Reynolds number (Re = 1600) at the same time.”
High‐order discontinuous Galerkin spectral element methods for transitional and turbulent flow simulations (2014, methodology): “These efforts were accompanied by a number of researchers focusing on alternative approximations for the viscous fluxes [10–14], shock capturing *Correspondence to: Andrea D. Beck, Institute for Aerodynamics and Gasdynamics, University of Stuttgart, Pfaffenwaldring 21, 70550 Stuttgart, Germany.”