The purpose of this work is to test the nonlinear harmonic method (NLH), intended for simulation of the unsteady aerodynamic interaction between the rotor and stator of the turbomachine, characterized by high speed of calculations in comparison with the fully unsteady flow calculation approach. Calculations of unsteady flows in turbomachines belong to the class of compute-intensive tasks and to solve real problems in a reasonable time requires the use of supercomputers. The Department of compressor, vacuum and refrigeration engineering for testing the obtained solution of two-dimensional and three-dimensional flows in Turbomachinery using this NLH method, implemented in the software package NUMECA Fine/Turbo. To date, a comparison of the behavior of unsteady flow with the steady solution. Obtained flow patterns and considered conservativeness of flow parameters.