ADAPTIVE WALL FUNCTIONS WITH APPLICATIONS

A novel wall function formulation for Spalart-Allmaras and k-ω model derived for the flow over a flat plate at zero-pressure gradient is applied to complex flows: the flow over a ramp, flow over the RAE2822 airfoil and ONERA M6 wing. The performance of the proposed adaptive wall functions is investigated in the presence of regions of recirculating flow, strong pressure gradients, stagnation regions and shocks. It is demonstrated that the proposed wall functions are indeed adaptive and that, despite the simplicity of the approach, the flow features are captured on coarse grids with sufficient accuracy.