[1]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):021-24.
　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):021-24.
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里兹近似方法与数值方法的比较分析
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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:
08卷
期数:
2008年03期
页码:
021-24
栏目:
出版日期:
2008-09-30

文章信息/Info

Title:
Comparative Analysis of Methods of RITZ Approximate Solution and Numerical Computation
作者:
黄庆宏1;  张 敏2;  张钧波2
1. 南京师范大学动力工程学院, 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 Qinghong1; Zhang Min2; Zhang Junbo2
1.School of Power Engineering,Nanjing Normal University,Nanjing 210042,China;2.School of Power Engineering,Nanjing University of Science and Technology,Nanjing 210094,China
关键词:
里兹近似方法;  数值方法;  变分原理
Keywords:
R itz approx im atem e thod;  num er ica l simu la ting m ethod;  va riation pr inc iple
分类号:
TK124
摘要:
在系统地介绍里兹变分近似方法的基础上,通过一个直角坐标系和一个圆柱坐标系的算例,对稳态热传导问题进行了计算,同时与数值解和精确解进行比较分析.由此可把近似分析解法用于求解各类复杂的非线性问题.
Abstract:
Based on introduc ing the theoretical phys ics o f R itz var ia tion approx im ate m e thod, and w ith an exam ple o f ca rtesian coordinate and an ex am ple o f cy lindr ica l coordinate, the steady state hea t conduc tion prob lems w ere so lved and ca lcu la ted using the fin ite volum em ethod ( FVM ) in struc tured gr id. The resu lts are in ag reement when the approx im ate so lution com pared w ith the num er ica l and the ex act so lutions. A ll above dem onstrate the s ignificance o f app lication o f the R itz m ethod in num er ica l com putation. K ey words: R itz approx im atem e thod, num

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 zisikM N. Conduction ofH ea t[M ]. Yu Changm ing, Translated. Be ijing: H ighe r Educa tion Press, 1984. ( in Ch inese)
[ 2] 徐士良. FORTRAN常用算法程序集[M ]. 北京: 清华大学出版社, 1997.
Xu Shiliang. The FORTRAN A lgo rithm Pro cedure in Comm on Use Assemb les[M ] . Be ijing: TsinghuaUniversity Press, 1997.( in Chinese)
[ 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.
[ 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 erical Va lue Conducts H eat Lea rning[M ]. X i’an: X i’an Jiao tongUn ive rsity Press, 1988. ( in Chinese)
[ 5] ZhangM. Modeling of RadiativeH eat T ransfer and D iffusion Pro cesses Us ing Unstructured Grid[ D]. USA: Tennessee Techno log ica lUn iversity, 2000.
[ 6] A rpaci V S. Conduction H eat Transfer[M ] . M ass: Addison-W esley Publish ing Company, 1966.

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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: 热能工程技术及计算机应用. E-m ail:huangq ihong@ n jnu. edu. cn
更新日期/Last Update: 2013-04-24