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Modeling of electric arcs: A study of the non-convective case with strong coupling

WRIGHT, D. ; DELMONT, P. ; TORRILHON, M.

In: Journal of Plasma Physics, 2013, vol. 79, no. 5, p. 699-713

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    Titel
    • Modeling of electric arcs: A study of the non-convective case with strong coupling
    Autor
    • WRIGHT, D.. Seminar for Applied Mathematics, ETH Zürich, Rämistr. 101, 8092 Zurich, Switzerland
    • DELMONT, P.. MathCCES, RWTH Aachen University, Schinkelstr. 2, 52062 Aachen, Germany (delmont@mathcces.rwth-aachen.de)
    • TORRILHON, M.. MathCCES, RWTH Aachen University, Schinkelstr. 2, 52062 Aachen, Germany (delmont@mathcces.rwth-aachen.de)
    Dokumententyp
    • Postprint
    Sprache
    • Englisch
    Veröffentlicht in
    • Journal of Plasma Physics, 2013, vol. 79, no. 5, p. 699-713. Cambridge University Press
    Andere elektronische Ausgabe
    Klassifikation
    • Gesundheit
    OAI-PMH-ID
    • oai:doc.rero.ch:303928
    Summary
    In this paper, we investigate a mathematical model for electric arcs. The model is based on the equations of magnetohydrodynamics, where the flow and heat transfer in a plasma is coupled to electrodynamics. Our approach neglects convection and yields a reaction-diffusion model that includes only the core phenomena of electric arcs: Ohmic heating and nonlinear electric conductivity. The equations exhibit interesting mathematical properties like non-unique steady states and instabilities that can be linked to electric arc properties. Additionally, a 3D axisymmetric simulation of the creation and extinction of an electric arc is presented based on a strongly coupled numerical algorithm for the non-convective model. The approach is especially suited for high-current arcs where strong coupling becomes necessary