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Belotsercovsky S. M., Gynevski A. S. Computer conception of vortex turbulence. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 2, pp. 72-93.

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
532.525.6+626.734+533.06

Computer conception of vortex turbulence

Autors: 
Belotsercovsky Sergei Mikhailovich, Federal State Unitary Enterprise "Central Aerohydrodynamic Institute named after prof. NE Zhukovsky"
Gynevski Aron Semenovich, Federal State Unitary Enterprise "Central Aerohydrodynamic Institute named after prof. NE Zhukovsky"
Abstract: 

A similation of turbulent jets and separated flows of incompressible liquid based on the scheme of ideal medium and on the method of discrete vortices is considered. The mathematical construction of shear flow model with high Reynolds numbers is based on treating a free turbulence as a hierarchy of vortices of various scales. Generally a turbulent motion is considered as a three-dimensional and essentially nonsteady one. A turbulence is generated by а loss of stability and by а breakup of regular vortex formations (sheets) with its further transformation into vortex ensembles. The latters, having common motion with the medium, alter, catch each other, and form new macrostructures as well as small vortices. It is significant that vortex motion contain аn inherent mechanism of a loss of stability and transformation from order to chaos. Solutions received with the method of discrete vortices allow to find fields of average velocity and pressure, normal and shear Reynolds stress, pressure pulsations; spatial, time and spatial-time correlations of velosity and pressure pulsations as well as appropriate turbulence scale without application of empirical constants.

Key words: 
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Acknowledgments: 
The work was carried out with financial support from the International Science Foundation and the Russian Government (Grant M2R 300).
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Received: 
04.10.1994
Accepted: 
14.05.1995
Published: 
15.12.1995
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