✦ LIBER ✦

Transmission-line matrix models for solving transient problems of diffusion with recombination

✍ Scribed by Xiang Gui; Donard de Cogan

Publisher: John Wiley and Sons
Year: 2003
Tongue: English
Weight: 238 KB
Volume: 16
Category: Article
ISSN: 0894-3370
DOI: 10.1002/jnm.511

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Starting from the general telegrapher's equation, we investigate two nodal network constructions for modelling diffusion with recombination by means of the transmission‐line matrix (TLM) method. The diffusion effect is modelled by the series and shunt capacitance in one approach, and by the series inductance and shunt resistance in the other. Both approaches use the series and shunt resistances to model the recombination effect. The constraint of using both TLM networks for solving transient problems of diffusion with recombination is found to be identical in terms of the physics behind the numerical routines. A practical way of determining the spatial resolution and iteration time step for accurate TLM numerical computations is suggested based on a simple frequency analysis. Copyright © 2003 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Method of lines with boundary elements f

Method of lines with boundary elements for 1-D transient diffusion-reaction problems

✍ P.A. Ramachandran 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 127 KB

A difficulty in numerically solving the

A difficulty in numerically solving the telegraph and the diffusion equations by means of the transmission line matrix modelling method (TLM)

✍ Peter Enders; Christian Vanneste 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 59 KB

## Abstract A stub leakage resistor at the nodes of an otherwise lossless TLM chain (i.e. without series resistors) introduces losses, although the corresponding absorption term in the Telegraphers' equation vanishes due to the absence of series resistors. This contradiction is outlined, an explana