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Abstract. The work aims at investigation of the possibilities of modelling transonic flows mainly in external aerodynamics. New results are presented and compared with reference data and previously achieved results. For the turbulent flow simulations two modifications of the basic k − ω model are employed: SST and TNT. The numerical solution was achieved by using the MacCormack scheme on structured non-ortogonal grids. Artificial dissipation was added to improve the numerical stability. 1 Mathematical models 1.1 Navier-Stokes equations The two-dimensional laminar flow of a viscous compress-ible liquid is described by the system of Navier-Stokes equations Wt + Fx +Gy = Rx + S y, (1) wher