Abstract:
A model for calculation of fourth-order cumulants is presented. Based on the Schwarz inequalities, a dependence between the coefficients of the model is established, which allows one to determine their numerical values. The use of an algebraic version of the model for parametrization of the process of turbulent diffusion in transport equations for third-order correlations does not require additional empirical information and offers a correct description of turbulent transport by large-scale vortex structures. Millionshchikov’s hypothesis turns out to be insufficient for that.
Citation:
B. B. Ilyushin, “Model of fourth-order cumulants for description of turbulent transport by large-scale vortex structures”, Prikl. Mekh. Tekh. Fiz., 40:5 (1999), 106–112; J. Appl. Mech. Tech. Phys., 40:5 (1999), 871–876
\Bibitem{Ily99}
\by B.~B.~Ilyushin
\paper Model of fourth-order cumulants for description of turbulent transport by large-scale vortex structures
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 5
\pages 106--112
\mathnet{http://mi.mathnet.ru/pmtf3145}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 5
\pages 871--876
\crossref{https://doi.org/10.1007/BF02468471}
Linking options:
https://www.mathnet.ru/eng/pmtf3145
https://www.mathnet.ru/eng/pmtf/v40/i5/p106
This publication is cited in the following 3 articles:
V. N. Grebenev, A. G. Demenko, G. G. Chernykh, “Method of differential constraints: local equilibrium approximation in a momentumless flat turbulent wake”, J. Appl. Mech. Tech. Phys., 62:3 (2021), 383–390
V.N. Grebenev, B.B. Ilyushin, “Invariant Sets and Explicit Solutions to a Third-Order Model for the Shearless Stratified Turbulent Flow”, JNMP, 9:2 (2002), 144
V. N. Grebenev, Β. B. Ilyushin, Yu. I. Shokin, “The Use of Differential Constraints for Analyzing Turbulence Models”, International Journal of Nonlinear Sciences and Numerical Simulation, 1:4 (2000)
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