𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A MODIFIED FINITE DIFFERENCE METHOD FOR MODELLING DIFFUSION PROCESSES

✍ Scribed by H. X. ZHANG; P. W. WEBB

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

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✦ Synopsis

A time domain unconditionally stable explicit method is presented which may be used to model processes governed by the diffusion equation such as transient heat flow. Unlike the explicit finite difference routine, the method models the diffusion process within the time step (MPWT). Being explicit, the method (MPWT) may easily account for non-linear physical parmeters and may be compared with the transmission line matrix (TLM) method of diffusion modelling in terms of its utility. Unlike the TLM model, however, the equivalent circuit does not contain inductive components which have no clear physical meaning. The MPWT method is based on a simple resistive and capacitive circuit model, which for short time steps reduces to the explicit finite difference formulation but is stable for large time steps. Good agreement has been found when results obtained using this algorithm are compared with other numerical methods and analytical results.

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