Abstract
We propose a model for simulating the real gas, high current plasma arc in three dimensions based on the equations of resistive MHD. These model equations are discretized using Runge–Kutta Discontinuous Galerkin (RKDG) methods. The Nektar code is used for the simulation which is extended to include Runge–Kutta time stepping, accurate Riemann solvers, and real gas data. The model is then shown to be suitable for simulating a plasma arc by using it to generate a high current plasma arc. Furthermore, the model is used to investigate the effects of the external magnetic field on the arc. In particular, it is shown that the external magnetic field forces the plasma arc to rotate.
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Acknowledgements
The authors would like to acknowledge C. Schwab, V. Wheatley, M. Torrilhon, and R. Hiptmair for their support and constructive discussions on this work. G.E. Karniadakis provided the authors with the original version of Nektar and ABB Baden provided real gas data for SF6 gas, which is gratefully acknowledged.
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Jeltsch, R., Kumar, H. (2013). Three-Dimensional Plasma Arc Simulation Using Resistive MHD. In: de Moura, C., Kubrusly, C. (eds) The Courant–Friedrichs–Lewy (CFL) Condition. Birkhäuser, Boston. https://doi.org/10.1007/978-0-8176-8394-8_3
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DOI: https://doi.org/10.1007/978-0-8176-8394-8_3
Publisher Name: Birkhäuser, Boston
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