A finite volume method for cylindrical heat conduction problems based on local analytical solution
Type
ArticleKAUST Department
Computational Transport Phenomena LabEarth Science and Engineering Program
Environmental Science and Engineering Program
Physical Science and Engineering (PSE) Division
Date
2012-10Permanent link to this record
http://hdl.handle.net/10754/562336
Metadata
Show full item recordAbstract
A new finite volume method for cylindrical heat conduction problems based on local analytical solution is proposed in this paper with detailed derivation. The calculation results of this new method are compared with the traditional second-order finite volume method. The newly proposed method is more accurate than conventional ones, even though the discretized expression of this proposed method is slightly more complex than the second-order central finite volume method, making it cost more calculation time on the same grids. Numerical result shows that the total CPU time of the new method is significantly less than conventional methods for achieving the same level of accuracy. © 2012 Elsevier Ltd. All rights reserved.Citation
Li, W., Yu, B., Wang, X., Wang, P., & Sun, S. (2012). A finite volume method for cylindrical heat conduction problems based on local analytical solution. International Journal of Heat and Mass Transfer, 55(21-22), 5570–5582. doi:10.1016/j.ijheatmasstransfer.2012.05.043Sponsors
The study is supported by the National Science Foundation of China (Nos. 51176204 and 51134006), and the State Key Laboratory of Multiphase Flow in Power Engineering (Xi'an Jiaotong University).Publisher
Elsevier BVae974a485f413a2113503eed53cd6c53
10.1016/j.ijheatmasstransfer.2012.05.043