Mesh dependent stability of discretization of the streamer equations for very high electric fields

Villa, Andrea; Barbieri, Luca; Gondola, Marco; Leon-Garzon, Andres R.; Malgesini, Roberto

doi:10.1016/j.compfluid.2014.09.002

Cited by 15 publications

(14 citation statements)

References 29 publications

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“…We have developed a simulation of the experimental setup in Figure 1 for a discharge under air atmosphere. The model is based on numerical techniques previously developed for the simulation of corona discharges [59,60,61,62,63]. The model is based on a set of partial differential equations for the evolution of the concentrations of charged and neutral species coupled with the electrostatic equation.…”

Section: Resultsmentioning

confidence: 99%

Experimental Characterization of Polymer Surfaces Subject to Corona Discharges in Controlled Atmospheres

et al. 2019

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Polymeric dielectrics are employed extensively in the power transmission industry, thanks to their excellent properties; however, under normal operating conditions these materials tend to degrade and fail. In this study, samples of low-density polyethylene, polypropylene, polymethyl methacrylate, and polytetrafluorethylene were subjected to corona discharges under nitrogen and air atmospheres. The discharges introduced structural modifications over the polymer surface. From a chemical perspective, the alterations are analogous among the non-fluorinated polymers (i.e., polyethylene (PE), polypropylene (PP), and polymethyl methacrylate (PMMA)). A simulation of the corona discharge allowed the identification of highly reactive species in the proximity of the surface. The results are consistent with the degradation of insulating polymers in high-voltage applications due to internal partial discharges that ultimately lead to the breakdown of the material.

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Section: Resultsmentioning

confidence: 99%

Experimental Characterization of Polymer Surfaces Subject to Corona Discharges in Controlled Atmospheres

et al. 2019

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“…We first consider an underlying issue facing the stability properties of discretized fluid models in the LFA. Our line of reasoning follows Villa et al [45] who proved that the spatial resolution for fluid models must essentially resolve the avalanche length for the solution to remain bounded in time. Consider a one-dimensional advection-reaction model for the electron density n, for the moment ignoring electron diffusion:…”

Section: Preludementioning

confidence: 99%

“…The latter can be avoided by using semi-implicit formulations [44]. Infrequently mentioned is the fact that there is a rather fundamental requirement on the spatial resolution ∆x as well [45], which applies to both explicit and implicit temporal discretizations. One issue that is often faced in simulation codes is that explicit codes at best have time steps ∆t ∝ ∆x, which leads to an undesired scaling of computational resources.…”

Section: Introductionmentioning

confidence: 99%

3D fluid modeling of positive streamer discharges in air with stochastic photoionization

Marskar

2020

Plasma Sources Sci. Technol.

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This paper contains the foundation for a new Particle-In-Cell model for gas discharges, based on Îto diffusion and Kinetic Monte Carlo (KMC). In the new model the electrons are described with a microscopic drift-diffusion model rather than a macroscopic one. We discuss the connection of the Îto-KMC model to the equations of fluctuating hydrodynamics and the advection-diffusion-reaction equation which is conventionally used for simulating streamer discharges. The new model is coupled to a particle description of photoionization, providing a non-kinetic all-particle method with several attractive properties, such as: 1) Taking the same input as a fluid model, e.g. mobility coefficients, diffusion coefficients, and reaction rates. 2) Guaranteed non-negative densities. 3) Intrinsic support for reactive and diffusive fluctuations. 4) Exceptional stability properties. The model is implemented as a particle-mesh model on cutcell grids with Cartesian adaptive mesh refinement. Positive streamer discharges in atmospheric air are considered as the primary application example, and we demonstrate that we can self-consistently simulate large discharge trees.

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“…The ionization front thickness is the shortest spatial scale that needs to be resolved in discretized solution methods, such as HDS. The usual criterion for the choice of the grid step, ∆x, used in HDS is [12,[23][24][25][26]:…”

Section: Shortest Spatial Scale In a Streamer And In Hdsmentioning

confidence: 99%

What Determines the Parameters of a Propagating Streamer: A Comparison of Outputs of the Streamer Parameter Model and of Hydrodynamic Simulations

Lehtinen

Marskar

2021

Atmosphere

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Electric streamer discharges (streamers) in the air are a very important stage of lightning, taking place before formation of the leader discharge, and with which an electric discharge starts from conducting objects which enhance the background electric field, such as airplanes. Despite years of research, it is still not well understood what mechanism determines the values of a streamer’s parameters, such as its radius and propagation velocity. The novel Streamer Parameter Model (SPM) was made to explain this mechanism, and to provide a way to efficiently calculate streamer parameters. Previously, we demonstrated that SPM results compared well with a limited set of experimental data. In this article, we compare SPM predictions to the published hydrodynamic simulation (HDS) results.

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Mesh dependent stability of discretization of the streamer equations for very high electric fields

Cited by 15 publications

References 29 publications

Experimental Characterization of Polymer Surfaces Subject to Corona Discharges in Controlled Atmospheres

Experimental Characterization of Polymer Surfaces Subject to Corona Discharges in Controlled Atmospheres

3D fluid modeling of positive streamer discharges in air with stochastic photoionization

What Determines the Parameters of a Propagating Streamer: A Comparison of Outputs of the Streamer Parameter Model and of Hydrodynamic Simulations

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