A sequential gradient method for the inverse heat conduction problem (IHCP)

被引:38
作者
Dowding, KJ [1 ]
Beck, JV [1 ]
机构
[1] Michigan State Univ, Dept Mech Engn, E Lansing, MI 48824 USA
来源
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME | 1999年 / 121卷 / 02期
关键词
conduction; numerical methods; transient and unsteady heat transfer;
D O I
10.1115/1.2825980
中图分类号
O414.1 [热力学];
学科分类号
摘要
A sequential-in-time implementation is proposed for a conjugate gradient method using an adjoins equation approach to solve the inverse heat conduction problem (IHCP). Because the IHCP is generally ill-posed, Tikhonov regularization is included to stabilize the solution and allow for the inclusion of prior information. Aspects of the sequential gradient method are discussed and examined. Simulated one and two-dimensional test cases are evaluated to study the sequential implementation, Numerical solutions are obtained using a finite difference procedure. Results indicate the sequential implementation has accuracy comparable to the standard whole-domain solution, but in certain cases requires significantly more computational time. Benefits of the on-line nature of a sequential method may outweigh the additional computational requirements. Methods to improve the computational requirements, which make the method competitive with a rc hole domain solution, are given.
引用
收藏
页码:300 / 306
页数:7
相关论文
共 21 条
[1]  
Alifanov O. M., 1981, Journal of Engineering Physics, V41, P1049, DOI 10.1007/BF00824760
[2]  
Alifanov O. M., 1985, Journal of Engineering Physics, V48, P489, DOI 10.1007/BF00872080
[3]  
Alifanov O. M., 1994, INVERSE HEAT TRANSFE
[4]  
[Anonymous], 1996, EXTREME METHODS SOLV
[5]  
ARTYUKHIN EA, 1994, 2 JOINT RUSS AM WORK
[6]  
ARTYUKHIN EA, 1996, P 2 INT C INV PROBL
[7]   Comparison of some inverse heat conduction methods using experimental data [J].
Beck, JV ;
Blackwell, B ;
HajiSheikh, A .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1996, 39 (17) :3649-3657
[8]  
DOWDING KJ, 1997, THESIS MICHIGAN STAT
[9]   FINITE-ELEMENT FORMULATION FOR 2-DIMENSIONAL INVERSE HEAT-CONDUCTION ANALYSIS [J].
HSU, TR ;
SUN, NS ;
CHEN, GG ;
GONG, ZL .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1992, 114 (03) :553-557
[10]  
James J.V., 1985, INVERSE HEAT CONDUCT, P308