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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2011 Volume 23, Number 10, Pages 44–64 (Mi mm3164)

This article is cited in 1 paper

Numerical model of a turbulent flow behind a heated grid in a wind tunnel

M. K. Âaeva, G. G. Chernykhbca

a Institute of Computational Technologies, Siberian Division Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Siberian State University of Telecommunications and Information Systems, Novosibirsk, 630102, Russia
c Novosibirsk State University, Novosibirsk, 630090, Russia

Abstract: The closure of Corrsin equation is implemented using the gradient hypothesis linking a mixed two-point correlation moment of the third-order with two-point correlation function of the second-order of passive scalar field. Based on the closed system of Kolmogorov and Yaglom equations the numerical model of locally isotropic turbulence was constructed. Under the assumption of constancy of Loitsiansky and Corrsin invariants the self-similar solution of the Corrsin equation, corresponding to an infinitely large Reynolds and Peclet numbers, was constructed. A numerical model of the dynamics of turbulence and temperature fluctuations behind a heated grid located in a wind tunnel is constructed on the basis of closed Karman–Howarth and Corrsin equations

Keywords: locally isotropic and isotropic turbulence, Karman-Howarth and Corrsin equations, Kolmogorov and Yaglom equations, numerical modeling.

UDC: 532.517.4

Received: 01.02.2011


 English version:
Mathematical Models and Computer Simulations, 2012, 4:3, 321–335

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