Redundant data and future times in the inverse heat conduction problem
- 1 July 1996
- journal article
- research article
- Published by Taylor & Francis in Inverse Problems in Engineering
- Vol. 2 (4) , 319-333
- https://doi.org/10.1080/174159796088027610
Abstract
This paper considers a case study focusing on the use of redundant data and the trade between data density and number of future time steps used in Beck's Sequential Function Specification Method (SFSM) [1] for solving the Inverse Heat Conduction Problem (IHCP). The effect of the number of future time steps (r) and size of data time difference (Δt) have been observed and are presented in this paper. The results indicate that use of redundant sensors can improve heat flux estimates in the one-dimensional IHCP. Furthermore, it is demonstrated that the number of future time steps used r and the size of the time step in the data Δt should be combined into a new parameter, the “look-ahead” time period, p = rΔt. Different applications of the method with the same value of p are seen to give correspondingly similar results. A subsequent numerical experiment is used to give guidelines on the selection of the parameter “p” for the method.Keywords
This publication has 4 references indexed in Scilit:
- Inverse Heat Transfer ProblemsPublished by Springer Nature ,1994
- The Mollification Method and the Numerical Solution of Ill‐Posed ProblemsPublished by Wiley ,1993
- Surface heat flux determination using an integral methodNuclear Engineering and Design, 1968
- Numerical Solutions to an Inverse Problem of Heat Conduction for Simple ShapesJournal of Heat Transfer, 1960