In the prebreakdown stage of electrical breakdown of gases under high pressure and high voltage, the space charge field plays an important role. We present in this paper the results of numerical calculations of negative streamer propagation in nitrogen making use of two dimensional Scharfetter and Gummel of zero order scheme which allow us to solve numerically the transport equations under strongly space charge dominated conditions such as occur at the head of propagating streamers. The algorithm is fully two dimensional (three dimensional with cylindrical symmetry) and is proving stable and capable of dealing with the steep density gradients which appear

in our calculations. Poisson’s equation is resolved by Biconjugate Gradient Stabilized method. We are interested in using the computer calculations to aid in understanding the notion of streamer. Different sizes of radii of the initial ionized spot are simulated in order to define the role of this parameter on the streamer propagation dynamics.


Streamer discharge simulation ; effects of different radii

Texte intégral :

ABSTRACT (English) PDF (English)


F. Chen, ''Industrial applications of low temperature plasma physics'', Phys. Plasmas 2, 1995, pp 2164-2175.

A. Bogaerts, E. Neyts, R. Gijbels, and J. Van Der Mullen, J. gas discharge physics and their applications, Spectrochim Acta B 57 , 2002,pp 609- 658.

L. Loeb, and J. Meek, ''The mechanism of spark discharge in air at atmospheric pressure'', I. J. Appl. Phys., 11, 1940, pp 438-447.

H. Raether, ''The development of electron avalanche in a spark channel'', Z. Phys., 112, 1939, pp 464.

K. H Wagner, ''Die entwicklung der electronenlawinen in den plasmakanal untersecht mit bilverstarker und wishverschluss'', Z. Phys., 189, 1966, pp 465-515.

J. Koppitz, Z. Naturforsh., 26A, 1971, pp 700.

L.E Kline, J. Siambis, ''Computer simulation of electrical breakdown in gases; avalanche and streamer formation'', Physical Review A, 5, 1972, pp 794.

E.E Kunhardt, Y. Tzeng, '' Development of an electron avalanche and its transition into streamers'', Physical Review A, 38, 1988, pp 1410-1421.

P. A Vitello, B. M Penetrante , J. N Bardsley,'' Simulation of negative streamer dynamics in nitrogen'', Phys. Rev. E, Vol 49, n° 6, 1994, pp 4396-4406.

A. A Kulikovsky,'' Two dimensional simulation of the positive streamer in N2 between parallel-plate electrodes'', J. Phys. D: Appl. Phys., Vol 28, 1995, pp1483-1493.

S. Pancheshnyi, A. Yu Starikovskii, '' Two dimensional modeling of the cathode directed streamer development in a long gap voltage'', J. Appl. Phys., 36, 2003, pp 2683-2691.

A. Flitti, '' Simulation of propagation of negative streamer in nitrogen'', Review of Development of Advanced Technology CDTA, 21, 2011, pp 28-41.

A. J Davies, C. J Evans, P. Townsend and P.M Woodison, Proc IEE 124, 1971, pp 179.

A. Flitti, A. Hennad, and N. Benaired, ''Numerical resolution of drift-diffusion equation: treatment of non linear problem'', Review of Development of Advanced Technology, 19, 2007, pp 14-24.

D. Scharfetter, H. Gummel, IEEE Trans. Electron Devices, 16, 1, 1969, 64-77.

A. A Kulikovsky, ''A more accurate Scharfetter-Gummel algorithm of electron transport for semiconductor and gas discharge simulation'', J. Comp. Phys., 119, 1995, pp 149-55.


R. Barrett, M. Berry, T.F. Chan, J. Demmel, J. Donato, J. Dongara, V. Eijkhout, R. Pozo, C. Romine and H. V.der Vorst, Templates for the solution of linear systems, building blocks for iterative methods, second edition SIAM, Philadelphia, PA,1994.

A. J Davies, C. J Evans and P.M Woodison, Proc IEE., 118, 1971, pp 816.

J. Dutton, J. Phys. Chem. Ref. Data., 4, 3, 1975, pp 664.


  • Il n'y a présentement aucun renvoi.


Direction des Publications et de l'animation scientifique

Université des Frères Mentouri Constantine 1. Route Ain El-Bey. 25000. Algérie.