Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 8 (2012), 073, 10 pages      arXiv:1210.4254      https://doi.org/10.3842/SIGMA.2012.073
Contribution to the Special Issue “Geometrical Methods in Mathematical Physics”

Application of the B-Determining Equations Method to One Problem of Free Turbulence

Oleg V. Kaptsov and Alexey V. Schmidt
Institute of Computational Modeling SB RAS, Akademgorodok, Krasnoyarsk, 660036, Russia

Received May 17, 2012, in final form October 04, 2012; Published online October 16, 2012

Abstract
A three-dimensional model of the far turbulent wake behind a self-propelled body in a passively stratified medium is considered. The model is reduced to a system of ordinary differential equations by a similarity reduction and the B-determining equations method. The system of ordinary differential equations satisfying natural boundary conditions is solved numerically. The solutions obtained here are in close agreement with experimental data.

Key words: turbulence; far turbulent wake; B-determining equations method.

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