基于共轭梯度法的圆管内部流体温度识别

工程热物理学报 , 2015, 36(2): 371-375.

1.北京化工大学机电工程学院,北京100029

2.北京化工大学机电工程学院,北京100029

基金项目: 国家基础研究计划资助项目(No.2011CB706900) 国家自然科学基金资助项目(No.51276009) 教育部新世纪优秀人才计划(No.NCET-13-0651)

Estimating Fluid Temperature of Pipe by Using Conjugate Gradient Method

本文在建立圆管二维瞬态传热模型的基础上,将反问题转化成正问题和最优化问题.采用有限元方法求解导热正问题,利用外壁面温度分布,从目标函数的泛函变分出发,根据共轭梯度法,实现了圆管内部的流体温度识别.通过典型算例的数值计算,验证了方法的准确性和抗噪性.

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