| 共轭梯度法求解双曲传热多宗量反问题 |
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| 引用本文： | 薛齐文,杨海天.共轭梯度法求解双曲传热多宗量反问题[J].计算物理,2005,22(5):417-424. |
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| 作者姓名： | 薛齐文 杨海天 |
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| 作者单位： | 大连理工大学工程力学系,工业装备结构分析国家重点实验室,辽宁,大连,116023 |
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| 基金项目： | Funded byfund of distinguishyoung/middle age academic staffsin Colleges of Liaoning province ,Key projectfund of NSF(10032030)，NSF(10172024)，NKBRSF[G1999032805] . |
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| 摘 要： | 提出双曲传热反问题热物性参数和边界条件多宗量联合反演的一般数值求解模式,考虑了非均质和分布参数的影响,时域上采用时域精细算法进行离散,建立了便于敏度分析的有限元正演模型.由最小二乘原理建立反演模型,应用共轭梯度法进行求解.探讨了时间步长和测量误差对反演结果的影响,并进行了数值验证.
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| 关 键 词： | 双曲传热 反问题 多宗量 |
| 文章编号： | 1001-246X（2005）05-0417-08 |
| 收稿时间： | 2004-04-26 |
| 修稿时间： | 2004-12-13 |
A Conjugate Gradient Method for the Hyperbolic Inverse Heat Conduction Problem with Multi-variables |
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| XUE Qi-wen,YANG Hai-tian.A Conjugate Gradient Method for the Hyperbolic Inverse Heat Conduction Problem with Multi-variables[J].Chinese Journal of Computational Physics,2005,22(5):417-424. |
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| Authors: | XUE Qi-wen YANG Hai-tian |
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| Abstract: | We present a general numerical model for the hyperbolic inverse heat conduction problem with multi-variables, which includes thermal parameters and boundary conditions. A finite element numerical model is developed to formulate a direct problem and a discrete algorithm in the time domain is used for transient analysis. Including material inhomogeneity and distributive parameters, a least-square optimal model is developed for the inverse problem. A conjugate gradient method is adopted. Measurement errors and different time step are used to identify the parameters. Numerical validations are shown. |
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| Keywords: | hyperbolic heat conduction inverse problem multi-variables |
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