Application of the B-Determining Equations Method to One Problem of Free Turbulence
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 e...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2012 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148700 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862636337561075712 |
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| author | Kaptsov, O.V. Schmidt, A.V. |
| author_facet | Kaptsov, O.V. Schmidt, A.V. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-11-30T21:00:27Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148700 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-30T21:00:27Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kaptsov, O.V. Schmidt, A.V. 2019-02-18T17:58:13Z 2019-02-18T17:58:13Z 2012 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. 1815-0659 2010 Mathematics Subject Classification: 76M60; 76F60 DOI: http://dx.doi.org/10.3842/SIGMA.2012.073 https://nasplib.isofts.kiev.ua/handle/123456789/148700 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. 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). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Application of the B-Determining Equations Method to One Problem of Free Turbulence Article published earlier |
| spellingShingle | Application of the B-Determining Equations Method to One Problem of Free Turbulence Kaptsov, O.V. Schmidt, A.V. |
| title | Application of the B-Determining Equations Method to One Problem of Free Turbulence |
| title_full | Application of the B-Determining Equations Method to One Problem of Free Turbulence |
| title_fullStr | Application of the B-Determining Equations Method to One Problem of Free Turbulence |
| title_full_unstemmed | Application of the B-Determining Equations Method to One Problem of Free Turbulence |
| title_short | Application of the B-Determining Equations Method to One Problem of Free Turbulence |
| title_sort | application of the b-determining equations method to one problem of free turbulence |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148700 |
| work_keys_str_mv | AT kaptsovov applicationofthebdeterminingequationsmethodtooneproblemoffreeturbulence AT schmidtav applicationofthebdeterminingequationsmethodtooneproblemoffreeturbulence |