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识别含热源瞬态热传导问题的热扩散系数

周焕林 严俊 余波 陈豪龙

周焕林, 严俊, 余波, 陈豪龙. 识别含热源瞬态热传导问题的热扩散系数[J]. 应用数学和力学, 2018, 39(2): 160-169. doi: 10.21656/1000-0887.380199
引用本文: 周焕林, 严俊, 余波, 陈豪龙. 识别含热源瞬态热传导问题的热扩散系数[J]. 应用数学和力学, 2018, 39(2): 160-169. doi: 10.21656/1000-0887.380199
ZHOU Huanlin, YAN Jun, YU Bo, CHEN Haolong. Identification of Thermal Diffusion Coefficients for Transient Heat Conduction Problems With Heat Sources[J]. Applied Mathematics and Mechanics, 2018, 39(2): 160-169. doi: 10.21656/1000-0887.380199
Citation: ZHOU Huanlin, YAN Jun, YU Bo, CHEN Haolong. Identification of Thermal Diffusion Coefficients for Transient Heat Conduction Problems With Heat Sources[J]. Applied Mathematics and Mechanics, 2018, 39(2): 160-169. doi: 10.21656/1000-0887.380199

识别含热源瞬态热传导问题的热扩散系数

doi: 10.21656/1000-0887.380199
基金项目: 国家自然科学基金(11672098;11502063)
详细信息
    作者简介:

    周焕林(1973—),男,教授,博士生导师(通讯作者. E-mail: zhouhl@hfut.edu.cn).

  • 中图分类号: TK124

Identification of Thermal Diffusion Coefficients for Transient Heat Conduction Problems With Heat Sources

Funds: The National Natural Science Foundation of China(11672098;11502063)
  • 摘要: 针对含有热源的瞬态热传导反问题,引入一个变换将含热源热传导问题转换为无热源热传导问题,采用改进布谷鸟算法反演热扩散系数.正问题由边界元法求解.将热扩散系数作为优化变量,以计算温度和测量温度之间的接近程度为目标函数,通过改进布谷鸟算法极小化目标函数来优化估计热扩散系数.比较共轭梯度法、布谷鸟算法和改进布谷鸟算法的反演结果.与共轭梯度法相比,改进布谷鸟算法对迭代初值不敏感;与布谷鸟算法相比,改进布谷鸟算法收敛速度更快.算例讨论了测点数量、鸟巢数量、测量误差对计算结果的影响.增加测点数量,反演结果精度降低;增加鸟巢数量,迭代次数减少;随着测量误差的增大,结果精度降低.数值算例验证了改进布谷鸟算法反演热扩散系数的准确性和有效性.
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出版历程
  • 收稿日期:  2017-07-19
  • 修回日期:  2017-12-18
  • 刊出日期:  2018-02-15

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