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Modelling and Simulation in Engineering
Volume 2018, Article ID 5781602, 12 pages
Research Article

Simulation of Turbulent Convection at High Rayleigh Numbers

1Nizhny Novgorod State Technical University n.a. R.E. Alekseev, Nizhny Novgorod, Russia
2Russian Federal Nuclear Center-All-Russia Institute of Experimental Physics, Sarov, Russia
3Shipunov Instrument Design Bureau, Tula 300001, Russia
4Institute of Space Technologies, Peoples’ Friendship University of Russia (RUDN University), Moscow, Russia

Correspondence should be addressed to Andrey Kurkin; moc.liamg@nikrukaa

Received 19 September 2017; Accepted 12 November 2017; Published 9 January 2018

Academic Editor: Azah Mohamed

Copyright © 2018 Sergey Dmitriev et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The paper considers the possibility of using different approaches to modeling turbulence under conditions of highly developed convection at high Rayleigh numbers. A number of industrially oriented problems with experimental data have been chosen for the study. It is shown that, at Rayleigh numbers from 109 to 1017, the application of the eddy-resolving LES model makes it possible to substantially increase the accuracy of modeling natural convection in comparison with the linear vortex viscosity model SST. This advantage is most pronounced for cases of a vertical temperature difference with the formation of a large zone of convection of strong intensity. The use of the Reynolds stress model EARSM is shown for cases of natural convective flow in domains with dihedral angles in the simulated region and the predominance of secondary currents. When simulating a less intense convective flow, when the temperature difference is reached at one boundary, the differences in the approaches used to model turbulence are less significant. It is shown that, with increasing values of Rayleigh numbers, errors in the determination of thermohydraulic characteristics increase and, for more accurate determination of them, it is expedient to use eddy-resolving approaches to the modeling of turbulence.