SUMMARYUnsteady Reynolds averaged Navier-Stokes (URANS) and detached eddy simulation (DES) related approaches are considered for high angle of attack NACA0012 airfoil, wing-ap, generic tilt-rotor airfoil and double-delta geometry ows. These are all found to be problem ows for URANS models. For DES ÿfth-order upwinding is found too dissipative and the use of, for high speed ows, instability prone centred di erencing essential. An existing hybrid ILES-RANS modelling approach, intended for exible geometry, relatively high numerical dissipation codes is tested along with di erential wall distance algorithms. The former gives promising results. The standard turbulence modelling approaches are found to give perhaps a surprising results variation. Results suggest that for the problem ows, the explicit algebraic stress and Menter shear stress transport (SST) URANS models are more accurate than the economical Spalart-Allmaras (SA). However, the explicit algebraic stress model (EASM) in its kform is impractically expensive to converge. Here, SA predictions lack a rotation correction term and this is likely to improve these results.