[1]张钧波,黄庆宏,张敏.伽略金近似方法与数值方法的比较分析[J].南京师范大学学报(工程技术版),2010,10(03):052-55.
　Zhang Junbo,Huang Qinghong,Zhang Min.Comparative Analysis between Galerkin Approximating Method and Numerical Computation[J].Journal of Nanjing Normal University(Engineering and Technology),2010,10(03):052-55.
点击复制

伽略金近似方法与数值方法的比较分析
分享到：

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

卷:
10卷
期数:
2010年03期
页码:
052-55
栏目:
出版日期:
2010-03-01

文章信息/Info

Title:
Comparative Analysis between Galerkin Approximating Method and Numerical Computation
作者:
张钧波1;  黄庆宏2;  张敏3
1. 南京师范大学泰州学院, 江苏泰州, 225300; 2. 南京师范大学能源与机械工程学院, 江苏南京, 210042; 3. 南京理工大学动力工程学院, 江苏南京, 210094
Author(s):
Zhang Junbo1; Huang Qinghong2; Zhang Min3
1.Taizhou College,Nanjing Normal University,Taizhou 250053,China;2.School of Energy and Mechanical Engineering,Nanjing Normal University,Nanjing 210042,China;3.School of Power Engineering,Nanjing University of Science and Technology,Nanjing 210094,China
关键词:
伽略金近似方法;  数值方法;  精确解
Keywords:
Ga le rkin approx im atem e thod;  num er ica l simu la ting m ethod;  exact so lution
分类号:
TK124
摘要:
针对复杂的非线性热传导问题求解的困难,在系统地介绍伽略金近似方法基本概念的基础上,采用伽略金近似方法对直角坐标系的非稳态热传导算例进行计算,同时与数值解和精确解进行比较分析.结果表明伽略金近似方法可用于求解各类复杂的非线性热传导问题.
Abstract:
On the basis of introducing the basic conception of Ga lerkin m ethod, and w ith an ex amp le o fC artesian coordi  nate, the unsteady state hea t conduction prob lem w ere so lved and ca lculated using the finite volum em ethod in structured g rid. The resu lts are in agreem ent when the approx im ate so lu tion is compared w ith the nume rical and the exact so lutions. These prove that Ga lerk in approx im atingm e thod is app licab le to so lve nonlinea r heat conduction prob lem.

参考文献/References:

[ 1] M N 奥齐西克. 热传导[M ]. 俞昌铭, 译. 北京: 高等教育出版社, 1984. O ziskM N. Conduction o fH eat [M ]. Yu Changm ing, T ransla ted. Be ijing: H igher Education Press, 1984. ( in Ch inese)
[ 2] 张钧波, 高超声速弹箭头部气动热数值计算[ D]. 南京: 南京理工大学动力工程学院, 2009: 16-23. Zhang Junbo. Nume rica l ca lcu la tion aerodynam ic heating over pro jectiles  head at hype rson ic flow [ D] . Nan jing: Nanjing Uni ve rsity o f Sc ience and Techno logy, 2009. ( in Ch inese)
[ 3] Pa tanka r S V. Num er ica lH eat Transfer and Fluid Flow [M ]. New Yo rk: H em isphe re Pub lishing, 1981: 20-23.
[ 4] 陶文铨. 数值传热学[M ]. 西安: 西安交通大学出版社, 1988. TaoW enquan. Num ericalH ea t Transfer[M ]. X i’an: X i’an Jiao tong University Press, 1988. ( in Ch inese)
[ 5] 徐士良. RORTRAN常用算法程序集[M ]. 北京: 清华大学出版社, 1997. Xu Sh iliang. The RORTRAN A lgor ithm Procedure in Comm om U se Assem bles [M ] . Be ijing: Tsinghua University Press, 1997. ( in Chinese)
[ 6] ZhangM. M ode ling of radiative hea t transfer and diffusion processes using unstructured gr id[ D] . Tennessee: Tennessee Tech  no log ica lUn iversity, 2000.
[ 7] 黄庆宏, 张敏, 张钧波. 里兹近似方法与数值方法的比较分析[ J]. 南京师范大学学报: 工程技术版, 2008, 8( 3): 21-24. H uang Q inghong, Zhang M in, Zhang Junbo. Ana lysis and comparison of R ITZ approx im atingm e thod and num er ica l computa  tion[ J]. Journa l of Nanjing No rm al University: Eng ineering and Techno logy Edition, 2008, 8( 3) : 21-24. ( in Chinese)

相似文献/References:

[1]刘 亚,侯小刚,张 敏.含内热源多维稳态热传导问题的数值分析[J].南京师范大学学报(工程技术版),2010,10(02):045.
　Liu Ya,Hou Xiaogang,Zhang Min.Numerical Computation of Heat Conduction With Multidimensional Heat Source Terms[J].Journal of Nanjing Normal University(Engineering and Technology),2010,10(03):045.
[2]黄庆宏,张敏,刘会娟.偏积分方法与数值方法的比较分析[J].南京师范大学学报(工程技术版),2009,09(03):033.
　Huang Qinghong,Zhang Min,Liu Huijuan.Analysis and Comparison of Partial Integration Method and Numerical Computation[J].Journal of Nanjing Normal University(Engineering and Technology),2009,09(03):033.
[3]黄庆宏,张 敏,张钧波.里兹近似方法与数值方法的比较分析[J].南京师范大学学报(工程技术版),2008,08(03):021.
　Huang Qinghong,Zhang Min,Zhang Junbo.Comparative Analysis of Methods of RITZ Approximate Solution and Numerical Computation[J].Journal of Nanjing Normal University(Engineering and Technology),2008,08(03):021.
[4]赵阳,UDPA Lalita,UDPA Satish.电磁场有限元分析的快速数值方法研究[J].南京师范大学学报(工程技术版),2006,06(04):001.
　ZHAO Yang ~,UDPA Lalita~,UDPA Satish~.Study on Fast Numerical Method for Electromagnetic Finite Element Analysis[J].Journal of Nanjing Normal University(Engineering and Technology),2006,06(03):001.

备注/Memo

备注/Memo:
通讯联系人: 黄庆宏, 副教授, 研究方向: 热能工程技术与计算机应用. Email:huangqinhong@ njnu. edu. cn
更新日期/Last Update: 2013-04-02