二维稳态热传导逆问题初步研究

计算物理 ›› 2002, Vol. 19 ›› Issue (6): 512-516.

二维稳态热传导逆问题初步研究

钱炜祺, 蔡金狮, 任斌

中国空气动力研究与发展中心总体技术部, 四川绵阳 621000

收稿日期:2001-04-10 修回日期:2001-09-10 出版日期:2002-11-25 发布日期:2002-11-25
作者简介:钱炜祺(1973-),男,江苏无锡,博士,从事计算流体力学、湍流模式理论和数理反问题等方面的研究.

TWO-DIMENSIONAL STEADY INVERSE HEAT CONDUCTION PROBLEM

QIAN Wei-qi, CAI Jin-shi, REN Bin

China Aerodynamics Research & Development Center, Mianyang 621000, China

Received:2001-04-10 Revised:2001-09-10 Online:2002-11-25 Published:2002-11-25

摘要/Abstract

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

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.

Key words: inverse heat conduction problem, sensitivity method, adjoint equation method

中图分类号:

O39
TB115

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.

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.

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