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We introduce a 3D hybrid model for streamer discharges that follows the dynamics of single electrons in the region with strong field enhancement at the streamer tip while approximating the many electrons in the streamer interior as…

Plasma Physics · Physics 2009-09-23 Chao Li , Ute Ebert , Willem Hundsdorfer

There are many interesting physical processes which involve the generation of high density plasmas in large volumes. However, when modeling these systems numerically, the large densities and volumes present a significant computational…

Computational Physics · Physics 2007-05-23 A. E. Schulz , A. D. Greenwood , K. L. Cartwright , P. J. Mardahl

Starting from the minimal model for the electrically interacting particle densities in negative streamer discharges, we derive a moving boundary approximation for the ionization fronts. The boundary condition on the moving front is found to…

Plasma Physics · Physics 2008-03-03 Fabian Brau , Alejandro Luque , Bernard Meulenbroek , Ute Ebert , Lothar Schäfer

For challenging state estimation problems arising in domains like vision and robotics, particle-based representations attractively enable temporal reasoning about multiple posterior modes. Particle smoothers offer the potential for more…

Machine Learning · Computer Science 2025-02-18 Ali Younis , Erik B. Sudderth

The simulation of the interaction of two simultaneously propagating air streamers of the same polarity is presented. A parametric study has been carried out using an accurate numerical method which ensures a time-space error control of the…

Plasma Physics · Physics 2015-06-05 Zdenek Bonaventura , Max Duarte , Anne Bourdon , Marc Massot

Recently a moving boundary approximation for the minimal model for negative streamer ionization fronts was extended with effects due to front curvature; this was done through a systematic solvability analysis. A central prediction of this…

Plasma Physics · Physics 2009-07-06 Fabian Brau , Alejandro Luque , Benny Davidovitch , Ute Ebert

We use a three-specie fluid model of electric discharge in air to simulate streamer evolution from the avalanche-to-streamer transition to the collision of opposite-polarity streamers. We estimate the upper limit on the production of…

Space Physics · Physics 2018-08-03 Nikolai G. Lehtinen , Nikolai Østgaard

Previous studies of streamer discharge branching mechanisms have mainly been generative other than predictive. To predict or even control branching, a reliable connection between experimental conditions and streamer branching needs to be…

Plasma Physics · Physics 2019-03-27 Yujie Zhu , Xuewei Zhang , Chijie Zhuang , Rong Zeng , Jinliang He

When very small particles are suspended in a fluid in motion, they tend to follow the flow. How such tracer particles are mixed, transported, and dispersed by turbulent flow has been successfully described by statistical models. Heavy…

Fluid Dynamics · Physics 2023-12-21 J. Bec , K. Gustavsson , B. Mehlig

In the present chapter we focus on the fundamentals of non-grid-conforming numerical approaches to simulating particulate flows, implementation issues and grid convergence vs. available reference data. The main idea is to avoid adapting the…

Fluid Dynamics · Physics 2024-12-11 Markus Uhlmann , Jos Derksen , Anthony Wachs , Lian-Ping Wang , Manuel Moriche

The interaction of streamers in nitrogen-oxygen mixtures such as air is studied. First, an efficient method for fully three-dimensional streamer simulations in multiprocessor machines is introduced. With its help, we find two competing…

Plasma Physics · Physics 2008-08-19 A. Luque , U. Ebert , W. Hundsdorfer

Positive streamer discharges require a source of free electrons ahead of them for their growth. In air, these electrons are typically provided by photoionization. Here we investigate how stochastic fluctuations due to the discreteness of…

Plasma Physics · Physics 2019-05-08 B. Bagheri , J. Teunissen

CO$_2$ with an admixture of C$_4$F$_7$N could serve as an eco-friendly alternative to the extreme greenhouse gas SF$_6$ in high-voltage insulation. Streamer discharges in such gases are different from those in air due to the rapid…

Plasma Physics · Physics 2025-10-09 Thomas J. G. Smits , Jannis Teunissen , Ute Ebert

It is by now well understood that large sprite discharges at the low air densities of the mesosphere are physically similar to small streamer discharges in air at standard temperature and pressure. This similarity is based on Townsend…

Atmospheric and Oceanic Physics · Physics 2010-07-13 Ute Ebert , Sander Nijdam , Chao Li , Alejandro Luque , Tanja Briels , Eddie van Veldhuizen

We study ion pair dissociation in water at ambient conditions using a combination of classical and ab initio approaches. The goal of this study is to disentangle the sources of discrepancy observed in computed potentials of mean force. In…

Chemical Physics · Physics 2021-06-02 Alec Wills , Marivi Fernández-Serra

We investigate the propagation of positive streamers in CO$_2$ through 3D particle-in-cell simulations, which are qualitatively compared against experimental results at 50 mbar. The experiments show that CO$_2$ streamers are much more…

Plasma Physics · Physics 2024-10-22 Xiaoran Li , Siebe Dijcks , Anbang Sun , Sander Nijdam , Jannis Teunissen

We study the numerical behaviour of a particle method for gradient flows involving linear and nonlinear diffusion. This method relies on the discretisation of the energy via non-overlapping balls centred at the particles. The resulting…

Analysis of PDEs · Mathematics 2016-12-07 J. A. Carrillo , Y. Huang , F. S. Patacchini , G. Wolansky

We compare simulations and experiments of single positive streamer discharges in air at 100 mbar, aiming towards model validation. Experimentally, streamers are generated in a plate-plate geometry with a protruding needle. We are able to…

Plasma Physics · Physics 2021-10-27 Xiaoran Li , Siebe Dijcks , Sander Nijdam , Anbang Sun , Ute Ebert , Jannis Teunissen

A 2D approach is used to simulate the properties of positive and negative streamers emerging from a high-voltage electrode in a long (14 cm) air gap for standard pressure and temperature. The applied voltage varies from 100 to 500 kV. To…

Plasma Physics · Physics 2020-08-26 Andrey Yu Starikovskiy , Nikolay L Aleksandrov

Streamer discharges can be used as a primary source of reactive species for plasma-assisted combustion. In this research we investigate positive streamers in a stoichiometric air-methane mixture at 1 bar and 300 K with a three-dimensional…

Plasma Physics · Physics 2022-04-11 Dennis Bouwman , Jannis Teunissen , Ute Ebert