Spatially hybrid computations for streamer discharges: II. Fully 3D simulations

Abstract

We recently have presented first physical predictions of a spatially hybrid model that follows the evolution of a negative streamer discharge in full three spatial dimensions; our spatially hybrid model couples a particle model in the high field region ahead of the streamer with a fluid model in the streamer interior where electron densities are high and fields are low. Therefore the model is computationally efficient, while it also follows the dynamics of single electrons including their possible run-away. Here we describe the technical details of our computations, and present the next step in a systematic development of the simulation code. First, new sets of transport coefficients and reaction rates are obtained from particle swarm simulations in air, nitrogen, oxygen and argon. These coefficients are implemented in an extended fluid model to make the fluid approximation as consistent as possible with the particle model, and to avoid discontinuities at the interface between fluid and particle regions. Then two splitting methods are introduced and compared for the location and motion of the fluid-particle-interface in three spatial dimensions. Finally, we present first results of the 3D spatially hybrid model for a negative streamer in air.

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Cited by in corpus (17)

• The physics of streamer discharge phenomena
• Simulating streamer discharges in 3D with the parallel adaptive Afivo framework
• Probing background ionization: Positive streamers with varying pulse repetition rate and with a radioactive admixture
• Electron density fluctuations accelerate the branching of streamer discharges in air
• Density models for streamer discharges: beyond cylindrical symmetry and homogeneous media
• Afivo: a framework for quadtree/octree AMR with shared-memory parallelization and geometric multigrid methods
• A comparison of 3D particle, fluid and hybrid simulations for negative streamers
• Growing discharge trees with self-consistent charge transport: the collective dynamics of streamers
• High order fluid model for streamer discharges: I. Derivation of model and transport data
• Controlling the weights of simulation particles: adaptive particle management using k-d trees
• High order fluid model for streamer discharges. II. Numerical solution and investigation of planar fronts
• Hybrid approaches for multiple-species stochastic reaction-diffusion models
• Why isolated streamer discharges hardly exist above the breakdown field in atmospheric air
• Streamer propagation in the atmosphere of Titan and other N2:CH4 mixtures compared to N2:O2 mixtures
• Adaptive multiscale methods for 3D streamer discharges in air
• Introduction and verification of FEDM, an open-source FEniCS-based discharge modelling code
• Optimisation of Simulations of Stochastic Processes by Removal of Opposing Reactions