Direct numerical simulation of benchmark test cases by a spectral high order method

The open-source spectral/hp element code Nektar++ provided by the Imperial College London is evaluated with respect to its Direct Numerical Simulation (DNS) capabilities by calculating several unsteady generic test cases. The ability of solving the incompressible Navier-Stokes equations and the compressible Euler equations by taking space and time resolution into account is demonstrated by fully turbulent simulations as well as comparisons with standard benchmarks