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热传导方程伽略金近似解与数值解的比较分析
Analysis and Comparison of Galerkin Approximating Method and Numerical Computation
【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.
【关键词】 伽略金近似解;
数值计算;
非结构化网格;
【Key words】 Galerkin approximate method; numerical calculation; unstructured mesh;
【Key words】 Galerkin approximate method; numerical calculation; unstructured mesh;
- 【文献出处】 南京师范大学学报(工程技术版) ,Journal of Nanjing Normal University(Engineering and Technology Edition) , 编辑部邮箱 ,2012年01期
- 【分类号】TK124
- 【被引频次】3
- 【下载频次】78