中国电机工程学报2011，Vol.31Issue(8)：58-61,4.
采用共轭梯度法求解多变量稳态传热反问题
Estimating Steady Multi-variables Inverse Heat Conduction Problem by Using Conjugate Gradient Method
摘要
Abstract
The multi-variables inverse problem for estimating boundary temperature distribution and the convective heat transfer coefficient of the two-dimensional steady heat conduction system was solved by using conjugate gradient method, and the effects of the initial guesses of inverse parameters, the number of measured points and the measured errors on the accuracy of inverse solutions were discussed. In the inverse process, the computed temperatures at measuring points were acquired by solving the direct heat conduction problem with the finite difference method. Numerical experiment results show that conjugate gradient method provided can solve such the multi-variables inverse heat conduction problem with high accuracy and better anti ill-posedness. When the number of temperature measured points is appropriately reduced and the measured temperatures contain some error in computational procedure, the satisfactory results can also be obtained with the method.关键词
热传导反问题/共轭梯度法/边界温度/对流换热系数分类
能源科技引用本文复制引用
朱丽娜,王广军,陈红..采用共轭梯度法求解多变量稳态传热反问题[J].中国电机工程学报,2011,31(8):58-61,4.基金项目
国家自然科学基金项目(50776103). （50776103）
