摘要
建立了非线性二维导热反问题的数学模型 ,利用边界温度观测信息 ,采用遗传算法和有限元法相结合的混合数值方法 ,确定了二维非线性导热问题中材料热传导系数随温度线性变化的规律 .该方法无需利用材料内部温度观测数据 ,只利用边界温度测量信息 ,就可以识别材料热传导系数随温度线性变化的规律 .考虑观测误差的影响 ,对方法的计算精度进行了检验 。
A numerical algorithm is proposed to estimate the temperature dependent thermal conductivity of two dimensional nonlinear inverse steady heat conductionf problem. It uses a hybrid numerical scheme involving the combination of the genetic algorithms and the finite element method.The linear heat conduction function of temperature can be determined with the aid of the boundary temperature measurements without a knowledge of the insider temperature. The accuracy of the identified results is examined from an illustrated case using simulated boundary temperature data with measurement errors. The present algorithm has a good property of global convergence.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2000年第11期49-52,共4页
Journal of Xi'an Jiaotong University
基金
国家自然科学基金! (5 97790 0 3)
关键词
反问题
热传导系数
有限元法
遗传算法
heat conduction
inverse problem
thermal conductivity
finite element method
genetic algorithms
