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Atmospheric and Oceanic Optics

2016 year, number 1

Turbulence structure over heated surfaces. Numerical solutions

V.V. Nosov, V.P. Lukin, E.V. Nosov, A.V. Torgaev
V.E. Zuev Institute of Atmospheric Optics of Siberian Branch of the Russian Academy of Science, 1, Academician Zuev square, Tomsk, 634021, Russia
Keywords: турбулентность, когерентная турбулентность, когерентная структура, топологический солитон, численное моделирование когерентных структур, уравнения Навье-Стокса, неоднородно нагретая поверхность, тепловая пестрота, turbulence, coherent turbulence, coherent structure, topological soliton, simulation of coherent structures, Navier-Stokes equations, inhomogeneously heated surface, thermal diversity

Abstract

The structure of air turbulent motion inside closed volumes (without exchange of internal and external medium through the borders) over inhomogeneously heated underlying surfaces is studied by numerical solution of boundary value problems for hydrodynamics equations (Navier-Stokes). The solitary large vortices (coherent structures, topological solitons) are observed over an inhomogeneously heated surface. Number of vortices and its internal structure depend on the form and size of heated inhomogenities. In the case of simple forms of heating (homogeneous heating, heated single round spot), the coherent turbulence resulting from the decay of coherent vortices is observed inside a closed volume. For complex forms of heating (thermal diversity, dapple, motley), the toroidal vortices are noticeably deformed. The vortices can be extended along the surface and can have the spiral (helix) streamlines. The vortices are noticeably mixed during the evolution process. It leads to Kolmogorov (incoherent) turbulence. Our experimental data obtained earlier inside dome rooms of astronomical telescopes confirm our numerical simulations.