Optimization based inversion method for the inverse heat conduction problems

International Symposium on Resource Exploration and Environmental Science

地球科学;生态环境科学

Mu, Huaiping^1 ; Li, Jingtao^1 ; Wang, Xueyao^2 ; Liu, Shi^1

School of Energy, Power and Mechanical Engineering, North China Electric Power University, Beijing, China^1

Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing, China^2

关键词: Broyden fletcher goldfarb shanno algorithms;    Generalized cost function;    Heat flux distributions;    Inverse heat conduction problem;    Inversion algorithm;    Numerical experiments;    Optimization problems;    Thermal-physical property;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/64/1/012094/pdf
DOI  :  10.1088/1755-1315/64/1/012094

学科分类：环境科学（综合）

来源: IOP

【 摘 要 】

Precise estimation of the thermal physical properties of materials, boundary conditions, heat flux distributions, heat sources and initial conditions is highly desired for real-world applications. The inverse heat conduction problem (IHCP) analysis method provides an alternative approach for acquiring such parameters. The effectiveness of the inversion algorithm plays an important role in practical applications of the IHCP method. Different from traditional inversion models, in this paper a new inversion model that simultaneously highlights the measurement errors and the inaccurate properties of the forward problem is proposed to improve the inversion accuracy and robustness. A generalized cost function is constructed to convert the original IHCP into an optimization problem. An iterative scheme that splits a complicated optimization problem into several simpler sub-problems and integrates the superiorities of the alternative optimization method and the Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm is developed for solving the proposed cost function. Numerical experiment results validate the effectiveness of the proposed inversion method.