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导热问题中4种有限体积方案对比

秦跃平 贾敬艳 刘伟 杨小彬

辽宁工程技术大学学报(自然科学版)Issue(6):763-767,5.
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

秦跃平 1贾敬艳 1刘伟 1杨小彬1

作者信息

  • 1. 中国矿业大学 北京 资源与安全工程学院,北京100083
  • 折叠

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 ()

辽宁工程技术大学学报(自然科学版)

OA北大核心CSTPCD

1008-0562

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