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LETTER TO THE EDITOR. A GENERAL EXPRESSION OF BOUNDARY CONDITIONS IN TLM DIFFUSION MODELLING

โœ Scribed by X. GUI; S. K. DEW; M. J. BRETT; D. DE COGAN


Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
162 KB
Volume
9
Category
Article
ISSN
0894-3370

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โœฆ Synopsis


We show that the general boundary condition DaWax + a@ = 0 (D is the diffusion coefficient and a is a

constant) in TLM diffusion modelling can be expressed accurately in terms of a voltage reflection coefficient p = ( A x -a A t ) / ( A x + aAt),

where Ax is the spatial resolution and At is the time step. Based on this general expression, the special cases of short-circuit ( p = -I), open-circuit ( p = 1) and matched-load ( p = 0) boundaries can be described succinctly by a -a , a-0 and a = Ax/At, respectively. This formulation allows for straightforward treatment of mixed boundary conditions found, for example, in diffusion-drift systems.


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