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Use of lossless transmission-line segments and shunt resistors for TLM diffusion modelling

✍ Scribed by Xiang Gui

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
321 KB
Volume
16
Category
Article
ISSN
0894-3370

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✦ Synopsis

Abstract

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.

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