Abstract
Spatially high-order flow simulations are conducted for high-Reynolds number flows around two-dimensional high-lift devices. The method uses a ‘flux-reconstruction (FR) approach’ that is applicable to unstructured quadrilateral or hexahedral grids. This is the first study focused on solving Reynolds-averaged Navier-Stokes equations coupled with k-ω turbulence model equations using the FR method. The performance of the turbulence model in the high-order scheme is first verified using standard benchmark problems. The flow around the three-element, high-lift airfoil known as NHLP/L1T2 is then tried. Simulations from second-order (solution polynomial degree 1, or p=1) to fourth-order (p=3) accuracy all predicted the surface pressure well, while the total pressure distribution in the wake was captured well by p=2 and p=3 simulations. The effects of new wall boundary conditions and minimum cell size are qualitatively discussed.
