利用温度测量结果反演三维热传导问题中热源项的算法研究.pdfVIP

第20卷 第4期 实 验 流 体 力 学 Vo1．20。No．4 2006年12月 Journal of Experimen~in Fluid Mechanics DCC．。2006 文章编号：1672—9897{2006)04—0053—07 Estimation of heat source term in three—dimensional heat conduction problem from temperature measurements HE Kai—feng ．QIAN Wei—qi (1．College of aeronautics，Northwestern Polytechnical University，Xi’an 7 10072，China；2．China Aero— dynamics ResearchDevelopment Center，Mianyang Sichuan 621000，China) Abstract：Estimation of heat source term in three—dimensional heat conduction problem from temperature measurements is a typical Inverse Heat Conduction Problem(IHCP)．In this paper，based on the numerical simulation of three—dimensional steady heat conduction problem with the Finite Volume Method(FVM)，this three—dimensional IHCP iS converted to an optimization problem．and the inversion method for estimation of heat source term is developed from sensitivity analysis．After applying this method to a typical test case，it can be seen that the estimation method is feasible and is not sensitive to the measurement noise．Moreover，the role of the stop criterion in the estimation process of cases with measurement noise is investigated．By analyzing the change of difference between the estimated heat sources and the exact values along with the decreasing of the objective function，it is shown that the decreasing of the objective function does not certainly mean the closer agreement between the estimated heat sources and exact values due to the ill—posedness of the IHCP． I s ill— posedness can be overcome by choosing a proper specification of stop criterion to simulate the regularization ef— fect in IHCP． Key words：three dimensional inverse heat conduc