On the mesh resolution of industrial LES based on the DNS of flow over the T106C turbine

Abstract

A high-order Navier-Stokes solver based on the flux reconstruction (FR) or the correction procedure via reconstruction (CPR) formulation is employed to perform a direct numerical simulation (DNS) and large eddy simulations (LES) of a well-known benchmark problem-transitional flow over the low-pressure T106C turbine cascade. Hp-refinement studies are carried out to assess the resolution requirement. A 4th order (p3) simulation on the fine mesh is performed with a DNS resolution to establish a "converged" solution, including the mean pressure and skin-friction distributions, and the power spectral density in the wake. Then LES on the coarse and fine meshes with lower order schemes are conducted to assess the mesh and order dependence of the solution. In particular, we study the error in the transition location, the mean skin-friction distribution, and the mean lift and drag coefficients. These hand p-refinement studies provide a much-needed guideline in hand p-resolutions to achieve a certain level of accuracy for industrial LES applications.

Use of High-Order Curved Elements for Direct and Large Eddy Simulation of Flow over Rough Surfaces

“…Although the smooth case results are consistent with the reference DNS results (Hillewaert et al, 2014), the experimental measurements (Michálek et al, 2012) show otherwise. In fact, this was also observed in numerous studies, leading to the conclusion that the conditions of the experiment are actually different (Hillewaert et al, 2014(Hillewaert et al, , 2016Alhawwary and Wang, 2019;Bergmann et al, 2021). Among others, some of the differences are the lack of turbulence at the inlet and a possible discrepancy in the inflow angle.…”