KALMAN SMOOTHING TECHNIQUE APPLIED TO THE INVERSE HEAT-CONDUCTION PROBLEM

被引:50
作者
SCARPA, F
MILANO, G
机构
[1] Dipartimento di Termoenergetica e Condizionamento Ambientale, Università di Genova, Genova, I 16145
关键词
Boundary conditions - Calculations - Heat flux - Inverse problems - Random processes - Temperature distribution;
D O I
10.1080/10407799508928822
中图分类号
O414.1 [热力学];
学科分类号
摘要
The time-dependent surface heat flux at one boundary of a one-dimensional system is reconstructed by using the Kalman smoothing technique, given the initial temperature distribution and the time-temperature history at an interior location. The study makes a parametric investigation and analyzes the behavior of two finite-difference schemes. The numerical results show the very good performance of the proposed technique, which provides a comprehensive way for using future temperature measurements. Although in this study attention is devoted to the one-dimensional linear problem, the algorithm can be generalized for the stochastic nonlinear multidimensional case.
引用
收藏
页码:79 / 96
页数:18
相关论文
共 16 条
[1]  
[Anonymous], 1985, INVERSE HEAT CONDUCT
[2]  
Beck J. V., 1982, Numerical Heat Transfer, V5, P275, DOI 10.1080/10407788208913448
[4]  
Bierman G. J., 1977, FACTORIZATION METHOD
[5]  
Candy J.V, 1986, SIGNAL PROCESSING MO
[6]  
DSOUZA N, 1975, ASME75WAHT81 PAP
[7]   NECESSITY OF NEARLY BEST POSSIBLE METHODS FOR ANALYTIC CONTINUATION OF SCATTERING DATA [J].
MILLER, K ;
VIANO, GA .
JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (08) :1037-1048
[8]   THE MOLLIFICATION METHOD AND THE NUMERICAL-SOLUTION OF AN INVERSE HEAT-CONDUCTION PROBLEM [J].
MURIO, DA .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1981, 2 (01) :17-34
[9]   MAXIMUM LIKELIHOOD ESTIMATES OF LINEAR DYNAMIC SYSTEMS [J].
RAUCH, HE ;
TUNG, F ;
STRIEBEL, CT .
AIAA JOURNAL, 1965, 3 (08) :1445-&
[10]  
RAYNAUD M, 1986, NUMER HEAT TRANSFER, V9, P27, DOI 10.1080/10407788608913463