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Verification and performance test of electric discharge modeling code developed in FEniCS

Authors: Jovanović, Aleksandar; Loffhagen, Detlef; Becker, Markus M.;

Verification and performance test of electric discharge modeling code developed in FEniCS

Abstract

ABSTRACT: The main goal of this work is to verify a newly developed fluid model code and to test its performance. The code is developed in FEniCS, open-source computing platform for solving partial differential equations by the finite element method. This platform is chosen due to support for symbolic representation of the weak form of partial differential equation, which simplifies problem definition significantly. In addition, it supports parallel processing by using MPI and provides various types of finite elements and numerical solvers. The code is verified by benchmarking and by the method of exact solution. Two benchmark studies, 1) modeling of an axisymmetric positive streamer in air, and 2) modeling of a low pressure glow discharge in argon are presented. The results are compared to the benchmark data in the first, and to the results obtained with a commercial software COMSOL Multiphysics® in the second study. In addition, the method of exact solution for a time of flight experiment is used for verification purpose. In all cases good agreement with the reference data is observed and a similar parallel performance as with COMSOL is achieved. Funded by the Deutsche Forschungsgemeinschaft – project number 407462159. (https://www.dpg-verhandlungen.de/year/2020/conference/hannover/part/p/session/7/contribution/3)

Funded by the Deutsche Forschungsgemeinschaft – project number 407462159.

Keywords

Plasma modeling, FEniCS, verification

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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