[1]黄庆宏,王柯,张敏.热传导方程伽略金近似解与数值解的比较分析[J].南京师范大学学报(工程技术版),2012,12(01):025-28.
　Huang Qinhong,Wang Ke,Zhang Min.Analysis and Comparison of Galerkin Approximating Method and Numerical Computation[J].Journal of Nanjing Normal University(Engineering and Technology),2012,12(01):025-28.
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热传导方程伽略金近似解与数值解的比较分析
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南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
12卷
期数:
2012年01期
页码:
025-28
栏目:
出版日期:
2012-03-20

文章信息/Info

Title:
Analysis and Comparison of Galerkin Approximating Method and Numerical Computation
作者:
黄庆宏1; 王柯2; 张敏2
( 1． 南京师范大学能源与机械工程学院，江苏南京210042) ( 2． 南京理工大学动力工程学院，江苏南京210094)
Author(s):
Huang Qinhong1; Wang Ke2; Zhang Min2
1.School of Energy and Mechanical Engineering,Nanjing Normal University,Nanjing 210042,China
关键词:
伽略金近似解; 数值计算; 非结构化网格
Keywords:
Galerkin approximate method; numerical calculation; unstructured mesh
分类号:
TK124
摘要:
在对称域或非对称域中,用结构化或非结构化网格中有限容积方法对稳态热传导问题进行数值求解.同时,采用伽略金近似方法分别对不同形状域求其近似解,并与精确解或数值解进行比较分析.在此基础上对几种计算方法所得结果进行误差分析,通过比较计算结果可以得到令人满意的一致性.这些都充分证明伽略金近似方法和本文给出的数值方法的可靠性和实用性.
Abstract:
On bounded symmetry and asymmetry domains，the steady state heat conduction equations were solved and calculated by using the finite volume method in structured or unstructured meshes． Also，the approximate solutions of different domains were derived on the basis of the concept of Galerkin method． Compared with these calculation results， there is a good agreement between them． These proved that Galerkin approximating method and numerical calculation are believable and practical．

参考文献/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． Ozisk M N． Conduction of Heat ［M］． Yu Changming，Translated． Beijing: Higher Education Press，1984． ( in Chinese)
［2］Zhang M． Modeling of radiative heat transfer and diffusion processes using unstructured grid［D］． USA: Tennessee Technological University，2000．
［3］Patankar S V． Numerical Heat Transfer and Fluid Flow［M］． New York: Hemisphere Publishing，1981．
［4］陶文铨． 数值传热学［M］，西安: 西安交通大学出版社， 1988． Tao Wenquan． Numerical Heat Transfer［M］． Xian: Xian Jiaotong University Press，1988． ( in Chinese)

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备注/Memo

备注/Memo:
通讯联系人: 黄庆宏，副教授，研究方向: 数值仿真． E-mail: huangqinhong@ njnu． edu． cn
更新日期/Last Update: 2013-03-11