An Efficient Algorithm for the Numerical Solution of a Three-dimensional Thermal Conductivity Issue
- Авторлар: Vargin A.V.1, Levitskiy I.A.1
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Мекемелер:
- National Research Technological University “MISIS”
- Шығарылым: Том 10, № 4 (2023)
- Беттер: 56-62
- Бөлім: 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
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Аннотация
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.
Толық мәтін
Авторлар туралы
Aleksander Vargin
National Research Technological University “MISIS”
Хат алмасуға жауапты Автор.
Email: mr.vargin@yandex.ru
ORCID iD: 0000-0001-8657-8716
PhD student
Ресей, MoscowIgor Levitskiy
National Research Technological University “MISIS”
Email: lewwwis@mail.ru
ORCID iD: 0000-0002-9345-3628
Cand. Sci. (Eng.), Associate Professor
Ресей, MoscowӘдебиет тізімі
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