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Use of lossless transmission‐line segments and shunt resistors for TLM diffusion modelling
Author(s) -
Gui Xiang
Publication year - 2003
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.512
Subject(s) - resistor , lossless compression , transmission line , shunt (medical) , computer science , electric power transmission , electronic engineering , electrical engineering , voltage , engineering , algorithm , telecommunications , data compression , medicine , cardiology
In diffusion modelling by means of the transmission‐line matrix (TLM) method, a nodal arrangement of using lossless transmission‐line segments and series resistors is almost exclusively adopted and is currently considered as a standard approach. In this paper, the use of shunt resistors instead of series resistors is shown to represent an equally valid configuration. As a starting point, we have derived the telegrapher's equation in its most general form for TLM modelling of diffusion processes. A general algorithm based on the shunt‐resistor TLM model for implementing a numerical solution of the diffusion equation in multiple dimensions is given. Fundamental analysis and calculated examples confirm that the alternative shunt‐resistor configuration does not exhibit the unwanted absorption effects suggested by a recent paper ( Internat. J. Numerical Model .: Electronic Networks , Devices and Fields 2002; 15 :261). Copyright © 2003 John Wiley & Sons, Ltd.