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Application of the B-Determining Equations Method to One Problem of Free Turbulence
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Application of the B-Determining Equations Method to One Problem of Free Turbulence
Інший ID:
2010 Mathematics Subject Classification: 76M60; 76F60
DOI: http://dx.doi.org/10.3842/SIGMA.2012.073
DOI: http://dx.doi.org/10.3842/SIGMA.2012.073
Посилання:
Application of the B-Determining Equations Method to One Problem of Free Turbulence / O.V. Kaptsov, A.V. Schmidt // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 27 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue “Geometrical Methods in Mathematical Physics”. The full collection is available at http://www.emis.de/journals/SIGMA/GMMP2012.html.
The authors are grateful to Professor G.G. Chernykh for many helpful and stimulating discussions. The authors would like to thank unknown referees for valuable comments which corrected and improved the first version of this paper. This work was supported by the Russian Foundation for Basic Research (project no. 10-01-00435) and programme ‘Leading scientific schools’ (grant no. NSh-544.2012.1).
Дата:
2012
Переглядів:
435
Завантажень:
220
Анотація:
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.
