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Journal of Applied Mechanics and Technical Physics

2021 year, number 3

Method of Differential Constraints: Local Equilibrium Approximation in a Momentumless Flat Turbulent Wake

V. N. Grebenev1, A. G. Demenkov2,3, G. G. Chernykh1
1Federal Research Center for Information and Computational Technologies, Novosibirsk, 630090, Russia
2Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
3Novosibirsk State Technical University, Novosibirsk, 630073, Russia
Keywords: method of differential constraints, semi-empirical turbulence models, algebraic representation of the third-order moment, numerical simulation


It is revealed that the local equilibrium approximation (algebraic parametrization of triple correlations of turbulent fluctuations of a vertical velocity component) in the problem of a plane momentumless turbulent wake is a differential constraint for a third-order closure model. The results of numerical experiments that confirm the feasibility of the used known algebraic parametrization of this third-order correlation moment are presented.