The approximation of axial‐symmetric heat transport problem in a cylinder is based on the finite volume method. In the classical formulation of the finite volume method it is assumed that the flux terms in the control volume are approximated with the finite difference expressions. Then in the 1‐D case the corresponding finite difference scheme for the given source function is not exact. There we propose the exact difference scheme. In 2‐D case the corresponding integrals are approximated using different quadrature formulae. This procedure allows one to reduce the heat transport problem described by a partial differential equation to an initial‐value problem for a system of two ordinary differential equations of the order depending on the quadrature formulae used. Numerical solutions of the corresponding algorithms are obtained using MAPLE routines for stiff system of ordinary differential equations.
Apie vieną simetrinės šilumos laidumo lygties sprendimo algoritmą
Santrauka. Naudojantis baigtinių tūrių metodu sudaryta tiksli schema, susiejanti sprendinio reikšmes srities krašte ir simetrijos taške. Gautoji lygčių sistema aproksimuojama skaitinio integravimo formulėmis ir sprendžiamas pradinis dviejų diferencialinių lygčių sistemos uždavinys. Pateikti skaitinio eksperimento rezultatai.
Kalis, H., & Lasis, A. (2001). Simple algorithms for calculation of the axial‐symmetric heat transport problem in a cylinder. Mathematical Modelling and Analysis, 6(2), 262-269. https://doi.org/10.3846/13926292.2001.9637165
Authors who publish with this journal agree to the following terms
that this article contains no violation of any existing copyright or other third party right or any material of a libelous, confidential, or otherwise unlawful nature, and that I will indemnify and keep indemnified the Editor and THE PUBLISHER against all claims and expenses (including legal costs and expenses) arising from any breach of this warranty and the other warranties on my behalf in this agreement;
that I have obtained permission for and acknowledged the source of any illustrations, diagrams or other material included in the article of which I am not the copyright owner.
on behalf of any co-authors, I agree to this work being published in the above named journal, Open Access, and licenced under a Creative Commons Licence, 4.0 https://creativecommons.org/licenses/by/4.0/legalcode. This licence allows for the fullest distribution and re-use of the work for the benefit of scholarly information.
For authors that are not copyright owners in the work (for example government employees), please contact VILNIUS TECHto make alternative agreements.
