AbstractThe whole turbulent flow field around a two‐dimensional aerofoil is solved with a consistent numerical method on a single‐grid system and with an intermittency implemented two‐equation model, namely the k‐ϵ‐γ turbulence model in elliptic form. In order to solve the numerical instability problem arising from the branch‐cut in C‐type grids using the non‐staggered finite‐volume method, a new numerical technique is proposed to guarantee the correct velocity‐pressure coupling along the branch‐cut. The computational results are compared with those by the standard k‐ϵ model and experimental data. This study demonstrates the relative simplicity of the present C‐type single grid system, and the capability is assessed of the k‐ϵ‐γ equations for predicting turbulent flows consisting of both wall‐free and wall‐bounded regions.