✦ LIBER ✦

A Discrete Model for the Lightning Discharge

✍ Scribed by William W. Hager

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 172 KB
Volume: 144
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1998.5985

No coin nor oath required. For personal study only.

✦ Synopsis

we simulate lightning by letting the conductivity tend to infinity wherever the electric field reaches the breakdown threshold. Here we show that for this discharge model and for a one parameter family of integration schemes, the backward Euler scheme is the only one that leads to the equilibration of the electric potential along the discharge channel. Moreover, the potential obtained by letting the conductivity tend to infinity in the continuous equation is identical to the potential obtained in the backward Euler approximation when conductivity tends to infinity. Connections to diffusion limited aggregation (DLA), to more recent schemes for simulating the lightning discharge, and to experiments of Williams et al. are discussed.

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