Structure of air turbulent motion inside closed volume (without exchange of internal and external medium through the borders) over inhomogeneous heated underlying surface had been studied by numerical solving of boundary value problems for hydrodynamics equations (Navier–Stokes). The solitary large vortices (coherent structures, topological solitons) whose decay generates the coherent turbulence are observed over homogeneous heated surface. Inhomogeneous heated surface leads to the appearance of Kolmogorov (incoherent) turbulence. The simulations confirm our previously experimentally (inside the dome rooms of astronomical telescopes) and theoretically stated conclusion that the mixing of coherent structures of different close-by sizes and different frequencies of major vortices results in the non-coherent Kolmogorov turbulence.