An Efficient Algorithm for the Numerical Solution of a Three-dimensional Thermal Conductivity Issue
- 作者: Vargin A.V.1, Levitskiy I.A.1
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隶属关系:
- National Research Technological University “MISIS”
- 期: 卷 10, 编号 4 (2023)
- 页面: 56-62
- 栏目: MATHEMATICAL MODELING, NUMERICAL METHODS AND COMPLEX PROGRAMS
- URL: https://journals.eco-vector.com/2313-223X/article/view/626644
- DOI: https://doi.org/10.33693/2313-223X-2023-10-4-56-62
- ID: 626644
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详细
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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作者简介
Aleksander Vargin
National Research Technological University “MISIS”
编辑信件的主要联系方式.
Email: mr.vargin@yandex.ru
ORCID iD: 0000-0001-8657-8716
PhD student
俄罗斯联邦, MoscowIgor Levitskiy
National Research Technological University “MISIS”
Email: lewwwis@mail.ru
ORCID iD: 0000-0002-9345-3628
Cand. Sci. (Eng.), Associate Professor
俄罗斯联邦, Moscow参考
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