Discretization effects in TLM diffusion models

Pulko, S; Wilkinson, Antony

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. https://doi.org/10.1002/%28SICI%291099-1204%28200001/02%2913%3A159%3A%3AAID-JNM382%3E3.3.CO%3B2-0

• Journal Article Type: Article
• Acceptance Date: Feb 28, 2000
• Publication Date: Feb 28, 2000
• 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