里兹近似方法与数值方法的比较分析 - 南京师范大学学报（工程技术版）.PDFVIP

8 3 () Vo.l 8 No. 3 2008 9 OURNAL OF NAN ING NORMAL UN IVERS ITY ( ENG INEERING AND TECHNOLOGY EDIT ION ) Sep, 2008 里兹近似方法与数值方法的比较分析 1 2 2 黄庆宏, 张 敏, 张钧波 ( 1. , 210042; 2. , 210094) [ ] , , , . . [ ] , , [ ] TK 124 [ ] A [] 1672-1292( 2008) 03-0021-04 ComparativeAnalysis ofMethods of RITZ Approximate Solution andNumericalComputation 1 2 2 Huang Q inghong , Zhang M in , Zhang unbo ( 1. S chool of Pow er E ngineering, Nanjing N orm alUn iversity, Nanj ing 210042, Ch ina; 2. School of Pow er Engin eering, Nanjing Un iversity of Science andT echnology, Nanjing 210094, Ch ina) Abstract: Based on introduc ing the theoretical phys ics of R itz var iation approx mi ate m ethod, and w ith an exam ple of cartesian coordinate and an ex am ple of cy lindr ical coordinate, the steady state heat conduction prob lems w ere solved and calcu lated using the fin ite volum em ethod ( FVM ) in structured gr id. T he resu lts are in agreement when the approx mi ate solution com pared w ith the num er ical and the ex act solutions. A ll above dem onstrate the s ignificance of app lication of the R itz m ethod in num er ical com putation. K ey ords: R itz approx mi atem ethod, num er ical smi u lating m ethod, variation pr inc iple . , , , () . , . , . . , , , . , . , , [ 1-4] . 3, . , , , . , ; [ 5] ; . , , , . 1 里兹近似方法的基本理论 , : 2008-03-20. : , , : . E-m ail: huangq ihong@ njnu. edu. cn 21