Enviar artigo por via de e-mail An Efficient Algorithm for the Numerical Solution of a Three-dimensional Thermal Conductivity Issue
- Autores: Vargin A.V.1, Levitskiy I.A.1
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Afiliações:
- National Research Technological University “MISIS”
- Edição: Volume 10, Nº 4 (2023)
- Páginas: 56-62
- Seção: MATHEMATICAL MODELING, NUMERICAL METHODS AND COMPLEX PROGRAMS
- URL: https://bakhtiniada.ru/2313-223X/article/view/251951
- DOI: https://doi.org/10.33693/2313-223X-2023-10-4-56-62
- ID: 251951
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Resumo
A mathematical model of slab heating based on a numerical solution of a three-dimensional thermal conductivity problem has been created and programmatically implemented in the work. To solve a system of difference equations, a layer-by-layer method is proposed that allows using the run-through method to solve a system of difference equations of a three-dimensional problem within a rapidly converging iterative procedure. Comparative calculations of slab heating are carried out using the proposed layer-by-layer method and the method of simple iteration with different degrees of grinding of the spatial grid. As a result, it was found that with the grinding of the mesh, the effectiveness of the layered method in relation to the simple iteration method increases.
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##article.viewOnOriginalSite##Sobre autores
Aleksander Vargin
National Research Technological University “MISIS”
Autor responsável pela correspondência
Email: mr.vargin@yandex.ru
ORCID ID: 0000-0001-8657-8716
PhD student
Rússia, MoscowIgor Levitskiy
National Research Technological University “MISIS”
Email: lewwwis@mail.ru
ORCID ID: 0000-0002-9345-3628
Cand. Sci. (Eng.), Associate Professor
Rússia, MoscowBibliografia
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