✦ LIBER ✦

TLM TREATMENT OF A GENERAL DIFFUSION FLUX BOUNDARY CONDITION

✍ Scribed by XIANG GUI; STEVEN K. DEW; MICHAEL J. BRETT

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 438 KB
Volume: 9
Category: Article
ISSN: 0894-3370
DOI: 10.1002/(sici)1099-1204(199609)9:5<327::aid-jnm238>3.0.co;2-b

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✦ Synopsis

An approach of using a current-controlled voltage source analogy to account for a general boundary condition of particle or thermal flux in transmission-line matrix (TLM) diffusion modelling has been developed. For mass diffusion, this boundary condition is expressed as D aClax + a C = 0, where C is the concentration, D is the diffusion coefficient, and (Y is a parameter characterizing the out-diffusion mobility across the boundary of interest. Confirmation of the TLM numerical treatment through comparison with analytical solutions is presented. Besides the open-circuit and short-circuit boundaries, the matched-load boundary is also found to be a special case of the present boundary condition. This extension of the boundary treatment allows the highly flexible TLM method to be applied to a greater variety of diffusion problems.

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