Comptes Rendus
no. 10-11
Theoretical and numerical approaches for Vlasov–Maxwell equations
Coupled Particle-In-Cell and Direct Simulation Monte Carlo method for simulating reactive plasma flows
Claus-Dieter Munz1  ; Monika Auweter-Kurtz2  ; Stefanos Fasoulas3  ; Asim Mirza3  ; Philip Ortwein1  ; Marcel Pfeiffer3  ; Torsten Stindl3
1 Institute of Aerodynamics and Gasdynamics (IAG), Universität Stuttgart, 70550 Stuttgart, Germany
2 German Aerospace Academy (ASA), Forum 1 am Konrad-Zuse-Platz 1, 71034 Böblingen, Germany
3 Institute of Space Systems (IRS), Universität Stuttgart, 70550 Stuttgart, Germany
Comptes Rendus. Mécanique, Volume 342 (2014) no. 10-11, pp. 662-670.

Plasma flows with high Knudsen numbers cannot be treated with classic continuum methods, as represented for example by the Navier–Stokes or the magnetohydrodynamic equations. Instead, the more fundamental Boltzmann equation has to be solved, which is done here approximately by particle based methods that also allow for thermal and chemical non-equilibrium. The Particle-In-Cell method is used to treat the collisionless Vlasov–Maxwell system, while neutral reactive flows are treated by the Direct Simulation Monte Carlo method. In this article, a combined approach is presented that allows the simulation of reactive, partially or fully ionized plasma flows. Both particle methods are briefly outlined and the coupling and parallelization strategies are described. As an example, the results of a streamer discharge simulation are presented and discussed in order to demonstrate the capabilities of the coupled method.

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Accepté le :
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DOI : 10.1016/j.crme.2014.07.005
Mots clés : Particle-In-Cell, Direct Simulation Monte Carlo, Discontinuous Galerkin, High-order, Plasma physics, Boltzmann equation
Claus-Dieter Munz 1 ; Monika Auweter-Kurtz 2 ; Stefanos Fasoulas 3 ; Asim Mirza 3 ; Philip Ortwein 1 ; Marcel Pfeiffer 3 ; Torsten Stindl 3

1 Institute of Aerodynamics and Gasdynamics (IAG), Universität Stuttgart, 70550 Stuttgart, Germany
2 German Aerospace Academy (ASA), Forum 1 am Konrad-Zuse-Platz 1, 71034 Böblingen, Germany
3 Institute of Space Systems (IRS), Universität Stuttgart, 70550 Stuttgart, Germany 
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     journal = {Comptes Rendus. M\'ecanique},
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Claus-Dieter Munz; Monika Auweter-Kurtz; Stefanos Fasoulas; Asim Mirza; Philip Ortwein; Marcel Pfeiffer; Torsten Stindl. Coupled Particle-In-Cell and Direct Simulation Monte Carlo method for simulating reactive plasma flows. Comptes Rendus. Mécanique, Volume 342 (2014) no. 10-11, pp. 662-670. doi : 10.1016/j.crme.2014.07.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.07.005/

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