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二维变几何域下的表面热流反演
引用本文:邵元培,何开锋,周宇,钱炜祺.二维变几何域下的表面热流反演[J].计算物理,2013,30(4):534-540.
作者姓名:邵元培  何开锋  周宇  钱炜祺
作者单位:1. 空气动力学国家重点实验室, 四川 绵阳 621000;2. 中国空气动力研究与发展中心计算空气动力研究所, 四川 绵阳 621000
基金项目:国家自然科学基金(11072258);空气动力学国家重点实验室基金(JBKY11030903)资助项目
摘    要:采用共轭梯度法,给出二维变几何域下的热流反演算法,并对算法的有效性和稳定性进行验证.结果显示:测点数目对反演结果有较大影响,测点数目的选取和热流的空间变化剧烈程度有关;反演初值的选取对反演结果,尤其是末时段,会有较大影响,应尽可能选择传热过程末时刻热流作为反演初值.

关 键 词:热传导逆问题  共轭梯度法  表面热流反演  二维变几何域  
收稿时间:2012-09-20
修稿时间:2013-01-31

Inversion of Surface Heat Flux in Two-dimensional Variable Geometry Heat Conduction
SHAO Yuanpei,HE Kaifeng,ZHOU Yu,QIAN Weiqi.Inversion of Surface Heat Flux in Two-dimensional Variable Geometry Heat Conduction[J].Chinese Journal of Computational Physics,2013,30(4):534-540.
Authors:SHAO Yuanpei  HE Kaifeng  ZHOU Yu  QIAN Weiqi
Institution:1. State Key Laboratory of Aerodynamics, Mianyang 621000, China;2. Computational Aerodynamics Institute of China Aerodynamics Research and Development Center, Mianyang 621000, China
Abstract:Conjugate gradient method (CGM) is developed for the estimation of surface heat flux in two-dimensional variable geometry heat conduction problem from temperature measurements.In typical exemplified case,it is shown that CGM is feasible and robust.Further studies reveal that estimated results are influenced by number of measurement points and initial estimation.The number of measurement points are related to intensity of heat flux spatial variation.And the final heat flux should be chosen as the initial estimation.
Keywords:inverse heat conduction problem  conjugate gradient method  surface heat flux estimation  two-dimensional variable geometry  
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