The flow around the KVLCC2 model tanker hull at 0°, 12° and 30° drift is investigated using classical Reynolds Averaged Navier–Stokes (RANS) models from two different proprietary codes, hybrid RANS-LES models from one of these proprietary codes, and Large Eddy Simulation (LES) models from a third, semi-proprietary code. Understanding the three-dimensional (3D) flow around a ship hull and in the wake of the hull on straight course or during maneuvering is important for many design and operational aspects, as well as from an environmental perspective. Tetrahedral grids of 13 million and 74 million cells respectively are used for the RANS and hybrid RANS-LES; for the LES, grids of between 120 and 200 million tetrahedral cells are used. The objectives are to generally increase knowledge of the flow past a ship hull both at straight-ahead and at static-drift conditions, and to assess the predictive capabilities of RANS, hybrid RANS-LES and LES computational methods. Using these computational results, the focus is specifically on understanding the complex vortical topology and associated surface-flow characteristics, and how these change when the drift angle increases. The RANS and time-averaged hybrid RANS-LES and LES predictions are compared against each other and against experimental data to further validate the simulation models and to provide additional insight into the flow physics.