“…Thus, it can be efficiently modelled with the Reynolds-Averaged Navier-Stokes (RANS) equations with the full resolution of time-averaged near-wall flow without incorporating the wall functions. Although there were studies including numerical methods to investigate the effect of a rough surface on the flow [39], [40], [41], [42], [43], [44] none of them was interested in investigating the roughness effect with RANS. Therefore, Eca and Hoekstra [38] modelled sand-grain roughness in the shear stress transport (SST) of the eddyviscosity k-ω turbulence model by using three types of implementation.…”