Abstract
A variant of statistical description of the turbulent velocity field in which, unlike the description in terms of statistical moments of various orders, the theory is formulated in terms of the pair correlation function, the Green function, and also certain quantities called vertices in the diagram technique of quantum field theory. The emerged infinite chain of equations for vortices is closed by using the perturbation theory for the third-order vortices. This leads to a closed system of equations that contains the second moment, the Green function, a correction to the viscosity due to turbulent mixing, and the correlation function of effective random forces.
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Original Russian Text © E.V. Teodorovich, 2015, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2015, Vol. 50, No. 6, pp. 150–160.
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Teodorovich, E.V. Variant of constructing the analytic theory of homogeneous isotropic turbulence. Fluid Dyn 50, 841–848 (2015). https://doi.org/10.1134/S0015462815060149
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DOI: https://doi.org/10.1134/S0015462815060149