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

Citation
I. Badger et al., Reverse time modeling of thermal problems using the transmission line matrix approach, NUM HEAT B, 40(3), 2001, pp. 249-264
Citations number
13
Categorie Soggetti
Mechanical Engineering
Journal title
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS
ISSN journal
10407790 → ACNP
Volume
40
Issue
3
Year of publication
2001
Pages
249 - 264
Database
ISI
SICI code
1040-7790(200109)40:3<249:RTMOTP>2.0.ZU;2-U
Abstract
The possibility of using inverse scattering for reverse time modeling of th ermal diffusion problems using the transmission line matrix is discussed. C onsideration 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 rev erse time modeling to reconstruct a previous temperature distribution and t he thermal history of individual points in space.