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Discretization effects in TLM diffusion models

Pulko, S; Wilkinson, Antony

Authors

S Pulko

Antony Wilkinson A.J.Wilkinson@hull.ac.uk



Abstract

The standard methods for bringing a TLM diffusion model to convergence are necessary but tedious. However, much time and effort can be saved if the initial choices of elemental size and iteration timestep are appropriate. Here we consider the general form of the solution to the diffusion equation and sample the component dynamics to determine the impulse invariant response. We then derive a convenient method for charting the discrepancy between the coefficients of the continuous description and the impulse invariant transformation, as this discrepancy varies with discretization of space and time. The use of the curves in estimating appropriate elemental size and iteration timestep is described. Copyright (C) 2000 John Wiley & Sons, Ltd.

Citation

Pulko, S., & Wilkinson, A. (2000). Discretization effects in TLM diffusion models. International journal of numerical modelling, 13(1), 59 - 74. doi:10.1002/(SICI)1099-1204(200001/02)13:159::AID-JNM382>3.3.CO;2-0

Journal Article Type Article
Acceptance Date Feb 28, 2000
Publication Date Feb 28, 2000
Publicly Available Date
Journal INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AN
Print ISSN 0894-3370
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 13
Issue 1
Pages 59 - 74
DOI https://doi.org/10.1002/%28SICI%291099-1204%28200001/02%2913%3A159%3A%3AAID-JNM382%3E3.3.CO%3B2-0
Public URL https://hull-repository.worktribe.com/output/387072