Generation of equations for shell models of turbulence in the Maple system
The paper describes a technology for the automated compilation of equations for shell models of turbulence in the computer algebra system Maple. A general form of equations for the coefficients of nonlinear interactions is given, which will ensure that the required combination of quadratic invariant...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2021-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2021/08/epjconf_strpep2021_02006.pdf |
| _version_ | 1798033093915836416 |
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| author | Feshchenko Liubov Vodinchar Gleb |
| author_facet | Feshchenko Liubov Vodinchar Gleb |
| author_sort | Feshchenko Liubov |
| collection | DOAJ |
| description | The paper describes a technology for the automated compilation of equations for shell models of turbulence in the computer algebra system Maple. A general form of equations for the coefficients of nonlinear interactions is given, which will ensure that the required combination of quadratic invariants and power-law solutions is fulfilled in the model. Described the codes for the Maple system allowing to generate and solve systems of equations for the coefficients. The proposed technology allows you to quickly and accurately generate classes of shell models with the desired properties. |
| first_indexed | 2024-04-11T20:24:44Z |
| format | Article |
| id | doaj.art-3d841a658c964285af5f58831f9422be |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-04-11T20:24:44Z |
| publishDate | 2021-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-3d841a658c964285af5f58831f9422be2022-12-22T04:04:42ZengEDP SciencesEPJ Web of Conferences2100-014X2021-01-012540200610.1051/epjconf/202125402006epjconf_strpep2021_02006Generation of equations for shell models of turbulence in the Maple systemFeshchenko Liubov0Vodinchar Gleb1Institute of Cosmophysical Research and Radio Wave Propagation FEB RASInstitute of Cosmophysical Research and Radio Wave Propagation FEB RASThe paper describes a technology for the automated compilation of equations for shell models of turbulence in the computer algebra system Maple. A general form of equations for the coefficients of nonlinear interactions is given, which will ensure that the required combination of quadratic invariants and power-law solutions is fulfilled in the model. Described the codes for the Maple system allowing to generate and solve systems of equations for the coefficients. The proposed technology allows you to quickly and accurately generate classes of shell models with the desired properties.https://www.epj-conferences.org/articles/epjconf/pdf/2021/08/epjconf_strpep2021_02006.pdf |
| spellingShingle | Feshchenko Liubov Vodinchar Gleb Generation of equations for shell models of turbulence in the Maple system EPJ Web of Conferences |
| title | Generation of equations for shell models of turbulence in the Maple system |
| title_full | Generation of equations for shell models of turbulence in the Maple system |
| title_fullStr | Generation of equations for shell models of turbulence in the Maple system |
| title_full_unstemmed | Generation of equations for shell models of turbulence in the Maple system |
| title_short | Generation of equations for shell models of turbulence in the Maple system |
| title_sort | generation of equations for shell models of turbulence in the maple system |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2021/08/epjconf_strpep2021_02006.pdf |
| work_keys_str_mv | AT feshchenkoliubov generationofequationsforshellmodelsofturbulenceinthemaplesystem AT vodinchargleb generationofequationsforshellmodelsofturbulenceinthemaplesystem |