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瞬态传热问题的微分求积和精细积分求解方法

金晶 邢誉峰 廖选平 张海瑞 唐念华

金晶, 邢誉峰, 廖选平, 等 . 瞬态传热问题的微分求积和精细积分求解方法[J]. 北京航空航天大学学报, 2015, 41(8): 1526-1531. doi: 10.13700/j.bh.1001-5965.2014.0626
引用本文: 金晶, 邢誉峰, 廖选平, 等 . 瞬态传热问题的微分求积和精细积分求解方法[J]. 北京航空航天大学学报, 2015, 41(8): 1526-1531. doi: 10.13700/j.bh.1001-5965.2014.0626
JIN Jing, XING Yufeng, LIAO Xuanping, et al. Application of differential quadrature and precise integration methods in analysis of transient heat transfer[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(8): 1526-1531. doi: 10.13700/j.bh.1001-5965.2014.0626(in Chinese)
Citation: JIN Jing, XING Yufeng, LIAO Xuanping, et al. Application of differential quadrature and precise integration methods in analysis of transient heat transfer[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(8): 1526-1531. doi: 10.13700/j.bh.1001-5965.2014.0626(in Chinese)

瞬态传热问题的微分求积和精细积分求解方法

doi: 10.13700/j.bh.1001-5965.2014.0626
详细信息
    作者简介:

    金晶(1986-),女,湖北随州人,硕士研究生,jinjbuaa@163.com

    通讯作者:

    邢誉峰(1964-),男,吉林农安人,教授,xingyf@buaa.edu.cn,主要研究方向为结构动力学.

  • 中图分类号: O241.81;O321

Application of differential quadrature and precise integration methods in analysis of transient heat transfer

  • 摘要: 给出了瞬态传热问题的高效高精度求解方法,该方法分别用微分求积法(DQM)和精细积分法(PIM)离散空间域和时间域.微分求积方法除了精度高、效率高之外,处理复杂边界条件的灵活性也优于有限元法(FEM).用精细积分法处理一阶瞬态传热微分控制方程,不需要增加额外自由度,还可以达到计算机精度.给出了隔热结构4种边界条件下的数值结果.并就上表面恒温、其他面绝热边界条件计算结果与有限元分析结果进行了对比,算例分析表明,采用微分求积和精细积分法布置少量的节点就可以达到较高的精度.

     

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出版历程
  • 收稿日期:  2014-10-13
  • 网络出版日期:  2015-08-20

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