南京师范大学学报:工程技术版
南京師範大學學報:工程技術版
남경사범대학학보:공정기술판
Journal of Nanjing Nor Univ: Eng and Technol
2012年
1期
25-28
,共4页
伽略金近似解%数值计算%非结构化网格
伽略金近似解%數值計算%非結構化網格
가략금근사해%수치계산%비결구화망격
Galerkin approximate method%numerical calculation%unstructured mesh
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.
在對稱域或非對稱域中,用結構化或非結構化網格中有限容積方法對穩態熱傳導問題進行數值求解.同時,採用伽略金近似方法分彆對不同形狀域求其近似解,併與精確解或數值解進行比較分析.在此基礎上對幾種計算方法所得結果進行誤差分析,通過比較計算結果可以得到令人滿意的一緻性.這些都充分證明伽略金近似方法和本文給齣的數值方法的可靠性和實用性.
재대칭역혹비대칭역중,용결구화혹비결구화망격중유한용적방법대은태열전도문제진행수치구해.동시,채용가략금근사방법분별대불동형상역구기근사해,병여정학해혹수치해진행비교분석.재차기출상대궤충계산방법소득결과진행오차분석,통과비교계산결과가이득도령인만의적일치성.저사도충분증명가략금근사방법화본문급출적수치방법적가고성화실용성.
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.