On the role of spectral properties of viscous flux discretization for flow simulations on marginally resolved grids

In this note, the importance of spectral properties viscous flux discretization in solving compressible Navier-Stokes equations for turbulent flow simulations is discussed. We studied six different methods, divided into two classes, with poor and better representation at high wavenumbers. Both theoretical numerical results have revealed that method wavenumbers, denoted as $\alpha$-damping type discretization, produced superior solutions compared to other class methods. The proposed compact converged towards direct simulation (DNS) solution lower grid resolution methods is, therefore, a candidate fidelity large-eddy (LES) DNS studies.