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TLM for diffusion: consistent first time step. two-dimensional case. (English) Zbl 0996.80006

Summary: In initializing a transmission line matrix (TLM) diffusion model it is necessary to consider both initial concentration (temperature) and initial flow. As usual, only one of them is given; an auxiliary formula is necessary to calculate the distribution for the first time step. It has been shown that the standard formula may introduce additional numerical errors and that these errors can persist over many time steps. In this paper, we show how an initial modification to the normal TLM algorithm can remove such errors, and we demonstrate the method by applying it to a two-dimensional TLM heat diffusion model for a copper plate.

MSC:

80M25 Other numerical methods (thermodynamics) (MSC2010)
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