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非结构网格上温度扩散方程的能流计算方法
  • ISSN号：1001-246X
  • 期刊名称：《计算物理》
  • 时间：0
  • 分类：O241[理学—计算数学;理学—数学]
  • 作者机构：[1]北京应用物理与计算数学研究所计算物理实验室,北京100088
  • 相关基金：国家自然科学基金数学天元基金（10626009）,国家自然科学基金项目（10431050,10476002）,中国工程物理研究院基金（200320603.20040653）及计算物理实验室基金（51479020105ZW0902）资助项目.
作者： 吕桂霞[1], 沈隆钧[1], 沈智军[1]
关键词： 扩散方程, 非结构网格, 有限点公式, 能流计算, diffusion equation, unstructured grid, finite point method formula, energy flux computation
中文摘要：

讨论非结构网格上温度扩散方程的能流计算方法．应用有限点方法（Finite Point Method，简称FPM）导出基于有限点两点公式和三点公式的能流计算公式，该公式适用于任意多边形及非匹配网格等非结构网格；给出网格角点温度新的计算公式．数值试验表明：基于两点公式的离散解和基于三点公式的离散解均具有平方阶的收敛速度；基于三点公式的离散解的精度总优于基于两点公式的离散解．

英文摘要：

Numerical methods for energy flux of temperature diffusion equation on unstructured grids are discussed. A finite point method （FPM） is used to get numerical formulae of energy flux based on two-point formula or three-point formula of FPM. These formulae are applicable to unstructured grids, such as arbitrary polygon and unmatched grids etc.. A numerical formula is given to compute tem-peratures at grid nodes. Numerical experiments show that the discrete solutions based on two-point formula and three-point formula have second-order convergence rate even if grids distort heavily. Accuracy of the discrete solutions based on three-point formula is better than that of two-point formula.

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期刊信息
  • 《计算物理》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国核学会
  • 主编：朱少平
  • 地址：北京海淀区丰豪东路2号北京应用物理与计算数学研究所
  • 邮编：100094
  • 邮箱：jswl@iapcm.ac.cn
  • 电话：010-59872547 59872545 59872547
  • 国际标准刊号：ISSN：1001-246X
  • 国内统一刊号：ISSN：11-2011/O4
  • 邮发代号:2-477
  • 获奖情况:
  • 1992年获“全优期刊”奖,《CAJ-CD规范》执行优秀奖
  • 国内外数据库收录:
  • 荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4426