Boundary Conditions in TLM diffusion modelling

Xiang Gui, Donard de Cogan

Research output: Contribution to journalArticlepeer-review


The connection algorithms used in transmission-line matrix (TLM) modelling of diffusion processes for describing boundary conditions in both link-line and link-resistor nodal configurations have been derived. The new algorithms regarding the inhomogeneous Robin condition enhance the capability of the TLM method in simulating thermal or particle diffusion phenomena. A number of boundary treatments in the existing literature have been found to be special cases of our results. The Dirichlet-type boundary condition is also discussed. TLM numerical results using the new algorithms, particularly with the link-resistor model for achieving signal synchronization, are shown to be in excellent agreement with the available analytical solutions.
Original languageEnglish
Pages (from-to)69-82
Number of pages14
JournalInternational Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Issue number1
Publication statusPublished - 2006

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