Moving boundary approximation for curved streamer ionization fronts: Numerical tests

Abstract

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 analysis is the existence of a nonvanishing electric field in the streamer interior, whose value is proportional to the front curvature. In this paper we compare this result and other predictions of the solvability analysis with numerical simulations of the minimal model.

8 pages, 8 figures

References in corpus (8)

• Positive and negative streamers in ambient air: modeling evolution and velocities
• Photoionization in negative streamers: fast computations and two propagation modes
• Deviations from the local field approximation in negative streamer heads
• Streamers, sprites, leaders, lightning: from micro- to macroscales
• Saffman-Taylor streamers: mutual finger interaction in an electric breakdown
• Construction and test of a moving boundary model for negative streamer discharges
• A moving boundary problem motivated by electric breakdown: I. Spectrum of linear perturbations
• Moving boundary approximation for curved streamer ionization fronts: Solvability analysis