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...
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EDP Sciences
2021
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oai:doaj.org-article:3d841a658c964285af5f58831f9422be2021-11-12T11:44:52ZGeneration of equations for shell models of turbulence in the Maple system2100-014X10.1051/epjconf/202125402006https://doaj.org/article/3d841a658c964285af5f58831f9422be2021-01-01T00:00:00Zhttps://www.epj-conferences.org/articles/epjconf/pdf/2021/08/epjconf_strpep2021_02006.pdfhttps://doaj.org/toc/2100-014XThe 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.Feshchenko LiubovVodinchar GlebEDP SciencesarticlePhysicsQC1-999ENEPJ Web of Conferences, Vol 254, p 02006 (2021) |
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Physics QC1-999 |
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Physics QC1-999 Feshchenko Liubov Vodinchar Gleb Generation of equations for shell models of turbulence in the Maple system |
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. |
format |
article |
author |
Feshchenko Liubov Vodinchar Gleb |
author_facet |
Feshchenko Liubov Vodinchar Gleb |
author_sort |
Feshchenko Liubov |
title |
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_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_sort |
generation of equations for shell models of turbulence in the maple system |
publisher |
EDP Sciences |
publishDate |
2021 |
url |
https://doaj.org/article/3d841a658c964285af5f58831f9422be |
work_keys_str_mv |
AT feshchenkoliubov generationofequationsforshellmodelsofturbulenceinthemaplesystem AT vodinchargleb generationofequationsforshellmodelsofturbulenceinthemaplesystem |
_version_ |
1718430548879212544 |