Finite Volume Method for Streamer and Gas Dynamics Modelling in Air Discharges at Atmospheric Pressure

Ducasse, Olivier; Eichwald, Olivier; Yousfi, Mohammed

doi:10.5772/38815

Cited by 2 publications

(3 citation statements)

References 62 publications

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“…When using the hydrodynamic description of plasmas, solving the set of hyperbolic conservation laws which arise (see section III-A) generally benefits from numerical methods that guarantee exact local conservation, e.g., finite volume methods (FVM) as used in [13], [14], [23]. However, this work is instead based on the continuous Galerkin finite element method (CG-FEM), to take advantage of some FEM-specific features.…”

Section: A the Finite Element Methodsmentioning

confidence: 99%

“…where ∂Ω denotes the external boundary of domain Ω, arising from Green's identity. The last integral includes the term ε (∇u 0 • n) which may be chosen to enforce Neumann boundary conditions such as (23), or, if a Neumann-zero condition is present, this integral vanishes. Different Neumann conditions can also be prescribed to disjoint sections of ∂Ω, simply by splitting this integral into boundary segments such that:…”

Section: G Weak Formulationmentioning

confidence: 99%

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The Design of a Python Library for the Automatic Definition and Simulation of Transient Ionization Fronts

et al. 2023

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In recent years, the interest in nonthermal plasma dynamics has grown significantly, within both industry and research. This has been driven by the development of several novel cold plasma technologies across a wide range of different fields, for example, for plasma medicine, chemical processing, pollution control, and surface treatment. The optimization of these technologies relies heavily upon the understanding of gas discharge plasmas: their generation, electrical characteristics, and interaction with their surroundings. Moreover, the manifestation of nonthermal plasmas in the form of streamers is of high relevance and critical importance to high voltage insulation technology, and has further significance to geophysical research concerning atmospheric discharges. The present work describes the development of the StrAFE (Streamers on Adaptive Finite Elements) package, a dedicated Python library built atop the popular open-source FEniCS finite element software, designed with the objective to simplify and to automate the solution of ionization front models. The library features support for mesh adaptivity, distributed memory parallelism, and an intuitive programming interface, while providing an exceptionally high level of user configurability. This article presents the software implementation, describes its features, and presents several code verification studies performed within simple and complex domains. It is concluded that the numerical results gained from this open-source framework are comparable to other well-established software in terms of accuracy. Therefore, it further demonstrates the great potential for open-source software to make significant contributions to technologies involving nonthermal plasmas, ionization fronts, and gas discharges. INDEX TERMSNonthermal plasma, gas discharge plasma, finite element analysis, open-source software, streamer discharge, high voltage phenomena, transient ionization fronts NOMENCLATURE A. FINITE ELEMENT METHOD

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Section: A the Finite Element Methodsmentioning

confidence: 99%

Section: G Weak Formulationmentioning

confidence: 99%

The Design of a Python Library for the Automatic Definition and Simulation of Transient Ionization Fronts

et al. 2023

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“…The present work is devoted to the comparison of a specific 3D solver developed in our group [10] with three other pre-selected solvers proposed in the open source LIS library. The simulation conditions and a brief description of the solvers are given in section 2.…”

Section: Introductionmentioning

confidence: 99%

Benchmarks of 3D Laplace Equation Solvers in a Cubic Configuration for Streamer Simulation

Plewa

Ducasse

Dessante

et al. 2016

Plasma Sci. Technol.

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The aim of this paper is to test a developed SOR R&B method using the Chebyshev accelerator algorithm to solve the Laplace equation in a cubic 3D configuration. Comparisons are made in terms of precision and computing time with other elliptic equation solvers proposed in the open source LIS library. The first results, obtained by using a single core on a HPC, show that the developed SOR R&B method is efficient when the spectral radius needed for the Chebyshev acceleration is carefully pre-estimated. Preliminary results obtained with a parallelized code using the MPI library are also discussed when the calculation is distributed over one hundred cores.

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Finite Volume Method for Streamer and Gas Dynamics Modelling in Air Discharges at Atmospheric Pressure

Cited by 2 publications

References 62 publications

The Design of a Python Library for the Automatic Definition and Simulation of Transient Ionization Fronts

The Design of a Python Library for the Automatic Definition and Simulation of Transient Ionization Fronts

Benchmarks of 3D Laplace Equation Solvers in a Cubic Configuration for Streamer Simulation

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