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Discretization effects in TLM diffusion models

โœ Scribed by A. J. Wilkinson; S. H. Pulko; A. Saidane

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
167 KB
Volume
13
Category
Article
ISSN
0894-3370

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โœฆ Synopsis

The standard methods for bringing a TLM di!usion model to convergence are necessary but tedious. However, much time and e!ort 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 di!usion equation and sample the component dynamics to determine the impulse invariant response. We then derive a convenient method for charting the discrepancy between the coe$cients 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.

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