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Computational Mechanics
Erschienen in: Computational Mechanics 3/2017

03.05.2017 | Original Paper

Modeling and rapid simulation of the propagation and multiple branching of electrical discharges in gaseous atmospheres

verfasst von: T. I. Zohdi

Erschienen in: Computational Mechanics | Ausgabe 3/2017

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Abstract

The trajectories and branching of electrical discharges through gaseous atmospheres, such as lightning and coronal emissions from high-voltage electromachinery, are of interest in a variety of applications. Multiple branches can evolve in an initially poor atmospheric conductor when a strong electrical discharge builds up, then propagates through the atmosphere by dielectric breakdown. Multiple branches can be generated in gases because of the disordered character of the media at the microscale, with an overall influence occurring from the ambient electric fields. In this paper, we develop a sufficiently flexible computational model to describe discharge trajectory and branching. The framework allows analysts to rapidly simulate thousands of electrical discharge scenarios, in order to statistically explore the dependency of the overall system behavior on the relevant physical parameters.
Vorheriger Artikel Sensitivity-based virtual fields for the non-linear virtual fields method
Nächster Artikel A regularized orthotropic continuum damage model for layered composites: intralaminar damage progression and delamination

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Fußnoten
1
Lightning travels between \(2 \times 10^5\)–\(10^6\) m/s with an average current between 100 and 200 amperes and a peak of 1000–2000 amperes. For comparison purposes, a light bulb operates at one ampere, while a typical electrical socket operates at 15 amperes.
 
2
We ignore magnetic fields.
 
3
All electric fields (\(\left( {{\varvec{E}}}^{ext}(t)+\sum _{j=1,j\ne i}^N{{\varvec{E}}}_j({{\varvec{r}}}_i(t))\right) \) are superposed to produce the righthand side “load” in Eq. 2.1.
 
4
We set the number of potential chances to branch along a pathway to 20. The total discharge mass was set to \(m_D=10^{-2}\) kg which represents all of the system mass (the charged electronic gas).
 
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Metadaten
Titel
Modeling and rapid simulation of the propagation and multiple branching of electrical discharges in gaseous atmospheres
verfasst von
T. I. Zohdi
Publikationsdatum
03.05.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 3/2017
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-017-1414-3

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