A finite volume method for cylindrical heat conduction problems based on local analytical solution

Wang Li; Bo Yu; Xinran Wang; Peng Wang; Shuyu Sun

doi:10.1016/j.ijheatmasstransfer.2012.05.043

A finite volume method for cylindrical heat conduction problems based on local analytical solution

Wang Li, Bo Yu, Xinran Wang, Peng Wang, Shuyu Sun

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	5570-5582
Number of pages	13
Journal	International Journal of Heat and Mass Transfer
Volume	55
Issue number	21-22
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2012.05.043
State	Published - Oct 2012

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 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).

ASJC Scopus subject areas

Mechanical Engineering
Fluid Flow and Transfer Processes
Condensed Matter Physics

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10.1016/j.ijheatmasstransfer.2012.05.043

Cite this

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title = "A finite volume method for cylindrical heat conduction problems based on local analytical solution",

abstract = "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. {\textcopyright} 2012 Elsevier Ltd. All rights reserved.",

author = "Wang Li and Bo Yu and Xinran Wang and Peng Wang and Shuyu Sun",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: 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).",

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doi = "10.1016/j.ijheatmasstransfer.2012.05.043",

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TY - JOUR

T1 - A finite volume method for cylindrical heat conduction problems based on local analytical solution

AU - Li, Wang

AU - Yu, Bo

AU - Wang, Xinran

AU - Wang, Peng

AU - Sun, Shuyu

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: 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).

PY - 2012/10

Y1 - 2012/10

N2 - 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.

AB - 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.

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M3 - Article

SN - 0017-9310

VL - 55

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EP - 5582

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 21-22

ER -

A finite volume method for cylindrical heat conduction problems based on local analytical solution

Abstract

Bibliographical note

ASJC Scopus subject areas

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