The multiscale nature of streamers

Abstract

Streamers are a generic mode of electric breakdown of large gas volumes. They play a role in the initial stages of sparks and lightning, in technical corona reactors and in high altitude sprite discharges above thunderclouds. Streamers are characterized by a self-generated field enhancement at the head of the growing discharge channel. We briefly review recent streamer experiments and sprite observations. Then we sketch our recent work on computations of growing and branching streamers, we discuss concepts and solutions of analytical model reductions, we review different branching concepts and outline a hierarchy of model reductions.

22 pages, 10 figures, to appear in Plasma Sources Science and Technology (IOP-journal)

References in corpus (6)

• Propagation and Structure of Planar Streamer Fronts
• Branching of negative streamers in free flight
• Streamer Propagation as a Pattern Formation Problem: Planar Fronts
• Stability of negative ionization fronts: regularization by electric screening?
• Streamer branching rationalized by conformal mapping techniques
• Regularization of moving boundaries in a Laplacian field by a mixed Dirichlet-Neumann boundary condition: exact results

Cited by in corpus (47)

• The physics of streamer discharge phenomena
• Positive and negative streamers in ambient air: measuring diameter, velocity and dissipated energy
• Positive and negative streamers in ambient air: modeling evolution and velocities
• Photoionization in negative streamers: fast computations and two propagation modes
• Probing photo-ionization: Experiments on positive streamers in pure gasses and mixtures
• Probing photo-ionization: simulations of positive streamers in varying N2:O2 mixtures
• Positive streamers in air and nitrogen of varying density: experiments on similarity laws
• An adaptive grid refinement strategy for the simulation of negative streamers
• Investigation of positive streamers by double pulse experiments, effects of repetition rate and gas
• Experimental study of hard X-rays emitted from meter-scale positive discharges in air
• Deviations from the local field approximation in negative streamer heads
• Streamers, sprites, leaders, lightning: from micro- to macroscales
• Diffusion correction to the avalanche--to--streamer transition
• Electron density fluctuations accelerate the branching of streamer discharges in air
• Interaction of streamers in air and other oxygen-nitrogen mixtures
• Density models for streamer discharges: beyond cylindrical symmetry and homogeneous media
• Experimental study of the spatio-temporal development of meter-scale negative discharge in air
• 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
• Stereo-photography of point-plane streamers in air
• Spatially hybrid computations for streamer discharges: II. Fully 3D simulations
• Spatially hybrid computations for streamer discharges with generic features of pulled fronts: I. Planar fronts
• 3D hybrid computations for streamer discharges and production of run-away electrons
• Sprite discharges on Venus and Jupiter-like planets: a laboratory investigation
• Sub-nanosecond delays of light emitted by streamer in atmospheric pressure air: analysis of N${}_2$(C${}^3{\Pi }_u$) and N${}_2^{+}($B${}^2{\Sigma }_u^{+}$) emissions and fundamental streamer structure
• Reconnection and merging of positive streamers in air
• 3D fluid modeling of positive streamer discharges in air with stochastic photoionization
• An adaptive Cartesian embedded boundary approach for fluid simulations of two- and three-dimensional low temperature plasma filaments in complex geometries
• Saffman-Taylor streamers: mutual finger interaction in an electric breakdown
• Condensed Matter Systems Exposed to Radiation: Multiscale Theory, Simulations, and Experiment
• Numerical convergence of the branching time of negative streamers
• High order fluid model for streamer discharges. II. Numerical solution and investigation of planar fronts
• Computational study of simultaneous positive and negative streamer propagation in a twin surface dielectric barrier discharge via 2D PIC simulations
• Spatial coupling of particle and fluid models for streamers: where nonlocality matters
• Positive streamers in ambient air and a N2:O2-mixture (99.8 : 0.2)
• Construction and test of a moving boundary model for negative streamer discharges
• Convective stabilization of a Laplacian moving boundary problem with kinetic undercooling
• Adaptive multiscale methods for 3D streamer discharges in air
• A moving boundary model motivated by electric breakdown: II. Initial value problem
• A domain-decomposition method to implement electrostatic free boundary conditions in the radial direction for electric discharges
• DC-driven positive streamer coronas in airflow
• A moving boundary problem motivated by electric breakdown: I. Spectrum of linear perturbations
• Investigating CO${}_2$ streamer inception in repetitive pulsed discharges
• Moving boundary approximation for curved streamer ionization fronts: Solvability analysis
• Accurate and efficient calculation of photoionization in streamer discharges using fast multipole method
• Moving boundary approximation for curved streamer ionization fronts: Numerical tests
• Computational Model for Photoionization in Pure SF6 Streamer at 1-15 atm