Generalized hydrodynamic equations: Application to the investigation of gas flows in channels with a step

Generalized hydrodynamic equations, which include explicitly the Kolmogorov fluctuations of hydrodynamic quantities, are used for mathematical simulation of vortex gas flows. The calculations are performed in the range of Reynolds number values from $64$ to $10000$ for two-dimensional unsteady nonisothermal flow of compressible gas in a channel with a step.