EPJ Web Conf.
Volume 254, 2021XII International Conference “Solar-Terrestrial Relations and Physics of Earthquake Precursors”
|Number of page(s)||11|
|Section||Geophysical Fields and their Interactions|
|Published online||08 November 2021|
Generation of equations for shell models of turbulence in the Maple system
Institute of Cosmophysical Research and Radio Wave Propagation FEB RAS, Paratunka, Russia
Published online: 8 November 2021
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.
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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