KALMAN SMOOTHING TECHNIQUE APPLIED TO THE INVERSE HEAT CONDUCTION PROBLEM
- 1 July 1995
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part B: Fundamentals
- Vol. 28 (1) , 79-96
- https://doi.org/10.1080/10407799508928822
Abstract
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.Keywords
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