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边界节点法计算二维瞬态热传导问题

师晋红 傅卓佳 陈文

师晋红, 傅卓佳, 陈文. 边界节点法计算二维瞬态热传导问题[J]. 应用数学和力学, 2014, 35(2): 111-120. doi: 10.3879/j.issn.1000-0887.2014.02.001
引用本文: 师晋红, 傅卓佳, 陈文. 边界节点法计算二维瞬态热传导问题[J]. 应用数学和力学, 2014, 35(2): 111-120. doi: 10.3879/j.issn.1000-0887.2014.02.001
SHI Jin-hong, FU Zhuo-jia, CHEN Wen. Boundary Knot Method for 2D Transient Heat Conduction Problems[J]. Applied Mathematics and Mechanics, 2014, 35(2): 111-120. doi: 10.3879/j.issn.1000-0887.2014.02.001
Citation: SHI Jin-hong, FU Zhuo-jia, CHEN Wen. Boundary Knot Method for 2D Transient Heat Conduction Problems[J]. Applied Mathematics and Mechanics, 2014, 35(2): 111-120. doi: 10.3879/j.issn.1000-0887.2014.02.001

边界节点法计算二维瞬态热传导问题

doi: 10.3879/j.issn.1000-0887.2014.02.001
基金项目: 国家重点基础研究发展计划(973计划)(2010CB832702); 国家杰出青年基金(11125208); 国家自然科学基金(11372097;11302069); 高等学校学科创新引智计划(“111”计划)(B12032)
详细信息
    作者简介:

    师晋红(1989—),女,山西人,硕士生(E-mail: shijhhhu@163.com)

  • 中图分类号: O241.82;O343.6

Boundary Knot Method for 2D Transient Heat Conduction Problems

Funds: The National Basic Research Program of China (973 Program)(2010CB832702); The National Science Fund for Distinguished Young Scholars of China(11125208); The National Natural Science Foundation of China(11372097;11302069)
  • 摘要: 采用边界节点法(BKM)结合双重互易法(DRM)求解二维瞬态热传导问题.采用差分格式处理时间变量,可将原瞬态热传导方程转化为一系列非齐次修正的Helmholtz方程.随后,方程的解可分为特解和齐次解两部分计算,引入双重互易法在区域内部配点求解方程的特解,采用边界节点法仅需边界配点求解方程的齐次解.给出的数值算例显示该方法计算精度高,适用性好,具有很好的稳定性和收敛性,适合求解瞬态热传导问题.
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出版历程
  • 收稿日期:  2013-10-07
  • 修回日期:  2013-11-19
  • 刊出日期:  2014-02-15

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