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南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:

2007年03期

Page:

40-43

Research Field:

Publishing date:

Info

Title:

Analyzing Exact Solutions of Heat Conduction Equations by Comparing With Numerical Solutions

Author(s):

Huang Qinghong¹; Zhang Min²; Xu Bin²

1.School of Power Engineering,Nanjing Normal University,Nanjing 210042,China;2.College of Power Engineering,Nanjing University of Science and Technology,Nanjing 210094,China

Keywords:

num erical so lutions;  exact so lutions;  heat conduction equation

PACS:

TK124

DOI:

-

Abstract:

It is an important me thod tha t the exact so lutions of the heat conduction equations test the correctness o f the num er ica l so lutions. M eanwh ile, the sam e im po rtant is to use the nume rical so lutions ana ly zing the exact so lu tions for perfect resu lts. The hea t conduction equa tion w as so lved using based ce ll fin ite vo lum em ethod and the secondary order upw ind schem e in structured m esh. Three examp les are g iven show ing up the deficiency o f the exact solution o f the class ica l heat conduction equation in the paper. And, the inte rnal relation and the com plem entarities be tw een the exac t and the num erical so lutions are discussed

References:

[ 1] 奥齐西克M N. 热传导[M ]. 俞昌铭, 译. 北京: 高等教育出版社, 1984: 3-4.
O zisikM N. H ea t Conduction[M ]. Yu Changm ing, T ransla ted. Be ijing: H igher Education Press, 1984: 3-4. ( in Chinese) [ 2] Kakac S, YenerY. H ea t Conduction[M ]. 3rd ed. London: Tay lor and Francis Press, 1993: 102-108.
[ 3] 南京工学院数学系. 数学物理方程和特殊函数[M ]. 北京: 高等教育出版社, 1982: 34-37.
M a them a tics Teaching and Research Group o f N an jing Eng ineer ing Co lleg e. Equations o fM athem atica l Physics and Spec ial Function[M ]. Be ijing: H igher Education Press, 1982: 34-37. ( in Ch inese)
[ 4] O zisikM N. Boundary Va lue Problem s o fH eat Conduc tion[M ]. Dover Phoen ix Ed itions. Dover Phoeo ix: Dover Press, 2002: 41-45.

Memo

Memo:

-

Common functions

Last Update: 2013-06-04