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Reverse time modeling of thermal problems using the transmission line matrix approach

Badger, I.; Pulko, S. H.; Wilkinson, A. J.

Authors

I. Badger

S. H. Pulko

Dr Antony Wilkinson A.J.Wilkinson@hull.ac.uk
Lecturer/ Programme Director for Electronic, and Electrical & Electronic Engineering Programmes



Abstract

The possibility of using inverse scattering for reverse time modeling of thermal diffusion problems using the transmission line matrix is discussed. Consideration is given to network parameterization via a series of numerical experiments. A three-dimensional implementation shows that, although there is a tendency for rounding errors to accumulate, it is possible to use reverse time modeling to reconstruct a previous temperature distribution and the thermal history of individual points in space.

Citation

Badger, I., Pulko, S. H., & Wilkinson, A. J. (2001). Reverse time modeling of thermal problems using the transmission line matrix approach. Numerical Heat Transfer, Part B Fundamentals, 40(3), 249-264. https://doi.org/10.1080/104077901752379648

Journal Article Type Article
Acceptance Date Sep 30, 2001
Online Publication Date Nov 30, 2010
Publication Date Dec 1, 2001
Journal Numerical Heat Transfer, Part B: Fundamentals
Print ISSN 1040-7790
Publisher Taylor and Francis
Peer Reviewed Peer Reviewed
Volume 40
Issue 3
Pages 249-264
DOI https://doi.org/10.1080/104077901752379648
Public URL https://hull-repository.worktribe.com/output/396159
Publisher URL https://www.tandfonline.com/doi/abs/10.1080/104077901752379648