ON SYMMETRY REDUCTIONS AND INVARIANT SOLUTIONS OF THE k-ε TURBULENCE MODEL
Methods of theoretical group analysis of differential equations are applied to the k -ε turbulence model. Symmetry reductions of the k -ε turbulence model with respect to some three-dimensional symmetry subalgebras are considered. Families of exact solutions are obtained.
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| Format: | Article |
| Language: | Russian |
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Moscow State Technical University of Civil Aviation
2016-12-01
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| Series: | Научный вестник МГТУ ГА |
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| Online Access: | https://avia.mstuca.ru/jour/article/view/855 |
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| _version_ | 1839579221821751296 |
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| author | N. G. Khor'kova |
| author_facet | N. G. Khor'kova |
| author_sort | N. G. Khor'kova |
| collection | DOAJ |
| description | Methods of theoretical group analysis of differential equations are applied to the k -ε turbulence model. Symmetry reductions of the k -ε turbulence model with respect to some three-dimensional symmetry subalgebras are considered. Families of exact solutions are obtained. |
| format | Article |
| id | doaj-art-876c20f26f8f413b83712c6705d95cb0 |
| institution | Matheson Library |
| issn | 2079-0619 2542-0119 |
| language | Russian |
| publishDate | 2016-12-01 |
| publisher | Moscow State Technical University of Civil Aviation |
| record_format | Article |
| series | Научный вестник МГТУ ГА |
| spelling | doaj-art-876c20f26f8f413b83712c6705d95cb02025-08-04T10:35:14ZrusMoscow State Technical University of Civil AviationНаучный вестник МГТУ ГА2079-06192542-01192016-12-0102247080855ON SYMMETRY REDUCTIONS AND INVARIANT SOLUTIONS OF THE k-ε TURBULENCE MODELN. G. Khor'kova0МГТУ им. Н.Э. БауманаMethods of theoretical group analysis of differential equations are applied to the k -ε turbulence model. Symmetry reductions of the k -ε turbulence model with respect to some three-dimensional symmetry subalgebras are considered. Families of exact solutions are obtained.https://avia.mstuca.ru/jour/article/view/855nonlinear differential equationslocal infinitesimal symmetriesinvariant solutionsthe k-ε turbulence model |
| spellingShingle | N. G. Khor'kova ON SYMMETRY REDUCTIONS AND INVARIANT SOLUTIONS OF THE k-ε TURBULENCE MODEL Научный вестник МГТУ ГА nonlinear differential equations local infinitesimal symmetries invariant solutions the k-ε turbulence model |
| title | ON SYMMETRY REDUCTIONS AND INVARIANT SOLUTIONS OF THE k-ε TURBULENCE MODEL |
| title_full | ON SYMMETRY REDUCTIONS AND INVARIANT SOLUTIONS OF THE k-ε TURBULENCE MODEL |
| title_fullStr | ON SYMMETRY REDUCTIONS AND INVARIANT SOLUTIONS OF THE k-ε TURBULENCE MODEL |
| title_full_unstemmed | ON SYMMETRY REDUCTIONS AND INVARIANT SOLUTIONS OF THE k-ε TURBULENCE MODEL |
| title_short | ON SYMMETRY REDUCTIONS AND INVARIANT SOLUTIONS OF THE k-ε TURBULENCE MODEL |
| title_sort | on symmetry reductions and invariant solutions of the k ε turbulence model |
| topic | nonlinear differential equations local infinitesimal symmetries invariant solutions the k-ε turbulence model |
| url | https://avia.mstuca.ru/jour/article/view/855 |
| work_keys_str_mv | AT ngkhorkova onsymmetryreductionsandinvariantsolutionsoftheketurbulencemodel |