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

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

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