Sensitivity analysis of large eddy simulation data

The discontinuous Galerkin (DG) methodology has proven very effective for large eddy simulation (LES), as a larger portion of the resolved energy is captured as the order of spectral approximation is increased. In this work, a filtered density function (FDF) based method is used for DG-LES of turbulent shear flows. The effects of the discretization order (p), the grid resolution (h), and the filter width (Δ) are examined, and comparative assessments are made against direct numerical simulation (DNS) data. It is shown that p-refinement yields a better convergence rate and requires relatively less computational times compared to h-refinement with the filter width of the same order as the mesh spacing.