Greifswald 2024 – scientific programme

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P: Fachverband Plasmaphysik

P 6: Poster I

P 6.12: Poster

Monday, February 26, 2024, 16:30–18:30, ELP 6: Foyer

Comparison of the finite element and spectral element methods in modelling of streamer discharges. — •I. L. Semenov, A. P. Jovanovic, and M. M. Becker — Leibniz Institute for Plasma Science and Technology (INP), Greifswald, Germany

Numerical modelling of streamers at atmospheric pressures is a challenging problem due to the multiscale nature of this discharge type. The current need to simulate streamers in realistic geometries and model the streamer-surface interaction drives the development of novel computational approaches to this problem. One of the key challenges is the development and implementation of efficient methods for solving large-scale electrostatic problems. As it was shown in [I. L. Semenov, K. D. Weltmann, J. Comput. Phys. 465, 111378 (2022)], the use of the hierarchical Poincaré - Steklov (HPS) scheme can be a promising approach to improve the computation efficiency of solving elliptic problems in streamer simulations. The HPS scheme is a multidomain spectral collocation method that has a number of attractive features. In this contribution we compare the streamer simulation scheme based on the HPS method with that based on the conventional finite element method (implemented using FEDM within the FEniCS framework). A number of test problems is considered and the efficiency of both methods is assessed in terms of the required computational time and the number of discrete unknowns being involved.

Funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – Projektnummern 515939493, 466331904.

Keywords: Finite element method; Spectral element method; Streamer discharges