The propagation of negative and positive streamer in electric discharge can be described by solving of a two-fluid model for charged particles. It based of continuity equations for the positive ions and electrons (also called drift-diffusion equations) including the effects of ionization, electron diffusion, and photoionization coupled to the Poisson’s equation. The validity of this model is demonstrated and presented by performing of ADBQUICKEST method in two-dimension form. This new method is employed for the solution of transport equations of charged particles by using the time splitting method. The results so obtained by numerical simulations for streamer discharge are analyzed and compared with previously published experimental data.
PL
Propagacja ujemnego i dodatniego przepływu w wyładowaniu elektrycznym może być opisana za pomocą modelu dwupłynowego. Opiera się ona na ciągłych równaniach dodatnich jonów i elektronów (zwanych także równaniami dyfuzji dryfu), w tym efektów jonizacji, dyfuzji elektronów i fotojonizacji sprzężonej z równaniem Poissona. Ważność tego modelu przedstawiono w metodzie ADBQUICKEST w postaci dwuwymiarowej. Metodę tę stosuje się do rozwiązania transportu cząstek za pomocą metody podziału czasu. Wyniki uzyskuje się za pomocą symulacji numerycznych dla wyładowania streamera.
The authors analyze the method used by Cauchy and Lagrange to obtain the integral of continuity equation. The authors propose their own method of integration using Schwarz’ theorem. As a result, the authors obtain a greater number of possible solutions with a higher level of generality while also being able to identify the basic disadvantages of the Cauchy-Lagrangian method. Further, the authors conducted a detailed interpretation of the results of their solution.
A role of radial corona current in a lightning discharge is discussed in the paper. It is shown that the corona current concept previously introduced by Cooray for lightning return stroke models of distributed-current-source (DCS) type, and later, by Maslowski and Rakov for lumped-current-source (LCS) type models enables to show duality between these two types of models. Further, it is demonstrated that the corona current is useful during consideration of dynamics of the lightning-channel corona sheath. As an example of application of presented approach a relaxation model of charge motion in the corona sheath is analysed together with plots which show the rate of expansion and shrinkage of the lightning corona sheath on both microsecond and millisecond time scales.
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