High-Order Discontinuous Galerkin Mesh Resolved Turbulent Flow Simulations of a NACA 0012 Airfoil (Invited)

Abstract

A parallel high-order Discontinuous Galerkin (DG) method is used to simulate turbulent flow over a NACA 0012 airfoil. Using a family of high-density grids (available on the NASA turbulence modeling resource website) mesh resolved solutions are obtained. The flow is simulated by solving the Reynolds-Averaged Navier-Stokes equations closed by the negative Spalart-Allmaras turbulence model. The flow conditions for this case are: α = 10, M = .15, and Re = 6 × 10. Lift, drag, pitching moment, pressure, and skin friction coefficients are provided for multiple grids and discretization orders and compared against other simulation results from the CFL3D and FUN3D solvers. The DG simulations give very similar results to these solvers and which further verifies both the DG solver and the other methods as having mesh resolved solutions. Also, it is shown that p-refinement converges quicker to the mesh resolved solutions compared to h-refinement.