辽宁工程技术大学学报(自然科学版)Issue(6):763-767,5.DOI:10.3969/j.issn.1008-0562.2013.06.010
导热问题中4种有限体积方案对比
Four finite volume schemes for heat transfer problems
摘要
Abstract
In order to compare the new finite volume scheme we proposed with three common schemes, this study derived the heat equilibrium equations based on the principle of FVM. Taking triangular elements to establish a mathematical model of the FVM on planar steady heat transfer, linear equations are put forward which are similar to the equations of FEM but with different parameters. To exam a specific case, a software is developed to calculate the temperature distribution under different conditions, and modeled results are compared with the theoretical solutions. Through analyzing, the optimal scheme FVM1 is obtained which has the same precision with FEM and without considering the third boundary, FVM4 is also feasible.关键词
数值模拟/有限体积法/有限单元法/导热/三角形网格/控制体积/圈划方法/精度差异Key words
numerical simulation/the finite volume method/the finite element method/heat transfer/triangular elements/control volume/selection method/precision difference分类
能源科技引用本文复制引用
秦跃平,贾敬艳,刘伟,杨小彬..导热问题中4种有限体积方案对比[J].辽宁工程技术大学学报(自然科学版),2013,(6):763-767,5.基金项目
国家自然科学资金资助项目 ()