✦ LIBER ✦

AUTOMATIC TIME STEP CONTROL IN TLM DIFFUSION MODELLING FOR PROBLEMS WITH TIME-VARYING LOAD CONDITIONS

✍ Scribed by IAN A. D. RUSSELL; P. W. WEBB

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 996 KB
Volume: 9
Category: Article
ISSN: 0894-3370
DOI: 10.1002/(sici)1099-1204(199611)9:6<417::aid-jnm249>3.0.co;2-p

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✦ Synopsis

Existing methods for time step control in TLM diffusion modelling that are based on the 'm' parameter introduced by Pulko are shown to be inappropriate for problems where the load conditions are arbitrarily time-varying. A new parameter is proposed for monitoring the error in the TLM diffusion model arising from the hyperbolic component of the lossy wave equation. This parameter is used as the controlling variable in a general purpose time step control algorithm and its suitability is demonstrated by applying this algorithm to a number of test cases in which the load conditions are time-varying.