二维非线性正交各向异性材料的瞬态热传导反问题数值方法  

A numerical method for two-dimensional nonlinear transient inverse heat conduction problems for orthotropic material

作　　者：陈闽慷[1] 杜涛 苏雪[3] 陈伟芳[3] 

机构地区：[1]国防科技大学航天科学与工程学院,湖南长沙410073 [2]北京宇航系统工程研究所,北京100076 [3]浙江大学航空航天学院,浙江杭州310027

出　　处：《国防科技大学学报》2017年第1期194-198,共5页Journal of National University of Defense Technology

基　　金：国家自然科学基金资助项目(51575487);国家973计划资助项目(2014CB340201)

摘　　要：针对正交各向异性材料的二维非线性热传导反问题,采用顺序函数法进行表面热流辨识问题的研究。在求解反问题时,采用有限体积法、牛顿-拉夫逊法并引入未来时间步的概念。在每个时间步内,将待辨识热流视为非线性方程组的未知量,通过一个迭代过程进行求解。算例的研究表明,热流辨识结果与真实热流相近,从而证明了本方法在辨识二维非线性热传导反问题时是准确、稳定、有效的。A sequential functional specification method was adopted to identify the surface heat flux in a two-dimensional inverse heat conduction problem for an orthotropic solid. The inverse problems were solved with the combination of the finite control volume method, the Newton-Raphson method, and the concept of future time step. The undetermined heat flux at each time step was denoted as one of the unknown variables in a set of nonlinear equations, which was solved by an iterative process. Results show that the estimated values agree well with the exact values in the examples, which proves that this method is an accurate, stable, and efficient one, thus it can be used to determine the surface heat flux in two-dimensional nonlinear inverse heat conduction problems.

关 键 词：二维 非线性瞬态热传导 热流辨识 顺序函数法 

分 类 号：TN95[电子电信—信号与信息处理]