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二维稳态热传导逆问题初步研究
引用本文:钱炜祺,蔡金狮,任斌. 二维稳态热传导逆问题初步研究[J]. 计算物理, 2002, 19(6): 512-516
作者姓名:钱炜祺  蔡金狮  任斌
作者单位:中国空气动力研究与发展中心总体技术部, 四川 绵阳 621000
摘    要:在用有限控制体积法对二维稳态热传导问题进行成功数值模拟的基础上,首先介绍了处理二维稳态热传导逆问题的两种方法:灵敏度法和伴随方程法;然后分别用这两种方法对一典型的圆环域边界条件反演问题进行了计算,并就测量误差对反演结果的影响做了初步分析.结果表明,灵敏度法和伴随方程法都是求解二维稳态热传导逆问题的有效方法.

关 键 词:热传导逆问题  灵敏度法  伴随方程法  
文章编号:1001-246X(2002)06-0512-05
收稿时间:2001-04-10
修稿时间:2001-04-10

TWO-DIMENSIONAL STEADY INVERSE HEAT CONDUCTION PROBLEM
QIAN Wei-qi,CAI Jin-shi,REN Bin. TWO-DIMENSIONAL STEADY INVERSE HEAT CONDUCTION PROBLEM[J]. Chinese Journal of Computational Physics, 2002, 19(6): 512-516
Authors:QIAN Wei-qi  CAI Jin-shi  REN Bin
Affiliation:China Aerodynamics Research & Development Center, Mianyang 621000, China
Abstract:Based on the successful numerical simulation of the two-dimensional steady heat conduction problem with the Finite Control Volume method (FCV),two methods to solve the two-dimensional steady Inverse Heat Conduction Problem (IHCP),namely,the Sensitivity Method (SM) and the Adjoint Equation Method (AEM),are introduced.After the SM and the AEM are applied to a typical boundary condition inversion problem in a circular domain and the influence of the measurement noise to the inversion accuracy is analyzed,it is shown that both the SM and the AEM are feasible and effective to deal with the two-dimensional steady IHCP.
Keywords:inverse heat conduction problem  sensitivity method  adjoint equation method  
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