多宗量稳态热传导反问题测点信息研究

Investigation on the Information of Sample Points for the Inverse Heat Conduction Problems in Steady State with Multi-variables

针对稳态热传导反问题,从多宗量的角度出发,对测点信息的选取作了探讨。借助有限元空间离散技术,建立了正演分析模型,利用误差信息构造最小二乘函数,建立反演模型,分别探讨了单一和多宗量组合参数识别时测点信息的选取,给出了相关数值算例,总结了一般性规律。

A investigation on solving the inverse heat conduction problems in steady state with multi-variables is presented,including the selection of information of sample points.For the direct problem,the eight-point finite element is used for the discretization in the space system.The inverse problem is formulated implicitly as an optimization problem with the cost functional of squared residues between calculated and measured quantities.The selection of information of sample points is discussed for identification of single and multi-variables parameters.Satisfactory numerical validation is given and the general rule is summarized.