ON FINITE-DIFFERENCE SOLUTIONS OF THE HEAT EQUATION IN SPHERICAL COORDINATES
作者:
Jules Thibault,
Simon Bergeron,
HuguesW. Bonin,
期刊:
Numerical Heat Transfer
(Taylor Available online 1987)
卷期:
Volume 12,
issue 4
页码: 457-474
ISSN:0149-5720
年代: 1987
DOI:10.1080/10407788708913597
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The finite-difference solution for the temperature distribution within a sphere exposed to a nonuniform surface heat flux involves special difficulties because of the presence of mathematical singularities. For this reason, the adequacy of some finite-difference representations of the heat diffusion equation is examined. In particular, neglecting the contribution from the term causing the singularity is shown as an accurate and efficient method of treating a singularity in spherical coordinates. A method based on the superposition principle is investigated and found quite suitable for this kind of problem in spherical coordinates.
点击下载:
PDF (250KB)
返 回