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Boundary conditions in TLM diffusion modelling
Author(s) -
Gui Xiang,
de Cogan Donard
Publication year - 2005
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.599
Subject(s) - resistor , computer science , transmission line , synchronization (alternating current) , diffusion , boundary value problem , boundary (topology) , terminal (telecommunication) , line (geometry) , topology (electrical circuits) , mathematics , mathematical analysis , physics , electrical engineering , telecommunications , engineering , geometry , voltage , channel (broadcasting) , thermodynamics
The connection algorithms used in transmission‐line matrix (TLM) modelling of diffusion processes for describing boundary conditions in both link‐line and link‐resistor nodal configurations have been derived. The new algorithms regarding the inhomogeneous Robin condition enhance the capability of the TLM method in simulating thermal or particle diffusion phenomena. A number of boundary treatments in the existing literature have been found to be special cases of our results. The Dirichlet‐type boundary condition is also discussed. TLM numerical results using the new algorithms, particularly with the link‐resistor model for achieving signal synchronization, are shown to be in excellent agreement with the available analytical solutions. Copyright © 2006 John Wiley & Sons, Ltd.