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Solution to Two-Dimensional Steady Inverse Heat Transfer Problems with Interior Heat Source Based on the Conjugate Gradient Method

机译:基于共轭梯度法的带内部热源的二维稳态逆传热问题求解

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摘要

The compound variable inverse problem which comprises boundary temperature distribution and surface convective heat conduction coefficient of two-dimensional steady heat transfer system with inner heat source is studied in this paper applying the conjugate gradient method. The introduction of complex variable to solve the gradient matrix of the objective function obtains more precise inversion results. This paper applies boundary element method to solve the temperature calculation of discrete points in forward problems. Thefactors ofmeasuring error and the number ofmeasuring points zero errorwhich impact the measurement result are discussed and compared with L-MMmethod in inverse problems. Instance calculation and analysis prove that themethod applied in this paper still has good effectiveness and accuracy even if measurement error exists and the boundary measurement points' number is reduced. The comparison indicates that the influence of error on the inversion solution can be minimized effectively using this method.
机译:本文采用共轭梯度法研究了带有内部热源的二维稳态传热系统的边界温度分布和表面对流导热系数的复合变量反问题。引入复变量来求解目标函数的梯度矩阵可以获得更精确的反演结果。本文采用边界元方法求解正向问题中离散点的温度计算。讨论了影响测量结果的测量误差因素和测量点零误差个数,并将其与反问题中的L-MM方法进行了比较。实例计算与分析表明,即使存在测量误差,减少了边界测量点的数量,本文所采用的方法仍然具有较好的有效性和准确性。比较表明,使用该方法可以有效地减小误差对反演解的影响。

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  • 来源
    《Mathematical Problems in Engineering》 |2017年第7期|2861342.1-2861342.9|共9页
  • 作者单位

    Tianjin Chengjian Univ, Sch Control & Mech Engn, Tianjin 300384, Peoples R China;

    Tianjin Chengjian Univ, Sch Control & Mech Engn, Tianjin 300384, Peoples R China;

    Harbin Inst Technol, Sch Elect Engn & Automat, Harbin 150001, Peoples R China;

    Tianjin Chengjian Univ, Sch Control & Mech Engn, Tianjin 300384, Peoples R China;

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