SIMULATION OF PULSED BREAKDOWN IN HELIUM  BY ADAPTIVE METHODS

Stepan I Eliseev, Vladimir I. Demidov, Chirtsov Alexander S, Anatoly A. Kudryavtsev, Kolobov Vladimir I, Evgeny A. Bogdanov

2014 , VOLUME 14, NUMBER 5 ( SEPTEMBER-OCTOBER )

ISSN 2226-1494 (print), ISSN 2500-0373 (online)

Publications

Editor-in-Chief

Nikiforov
Vladimir O.
D.Sc., Prof.

Partners

SIMULATION OF PULSED BREAKDOWN IN HELIUM BY ADAPTIVE METHODS

S. I. Eliseev, V. I. Demidov, A. S. Chirtsov, A. A. Kudryavtsev, V. I. Kolobov, E. A. Bogdanov

Read the full article

Abstract

The paper deals with the processes occurring during electrical breakdown in gases as well as numerical simulation of these processes using adaptive mesh refinement methods. Discharge between needle electrodes in helium at atmospheric pressure is selected for the test simulation. Physical model of the accompanying breakdown processes is based on self- consistent system of continuity equations for streams of charged particles (electrons and positive ions) and Poisson equation for electric potential. Sharp plasma heterogeneity in the area of streamers requires the usage of adaptive algorithms for constructing of computational grids for modeling. The method for grid adaptive construction together with justification of its effectiveness for significantly unsteady gas breakdown simulation at atmospheric pressure is described. Upgraded version of Gerris package is used for numerical simulation of electrical gas breakdown. Software package, originally focused on solution of nonlinear problems in fluid dynamics, appears to be suitable for processes modeling in non-stationary plasma described by continuity equations. The usage of adaptive grids makes it possible to get an adequate numerical model for the breakdown development in the system of needle electrodes. Breakdown dynamics is illustrated by contour plots of electron densities and electric field intensity obtained in the course of solving. Breakdown mechanism of positive and negative (orientated to anode) streamers formation is demonstrated and analyzed. Correspondence between adaptive building of computational grid and generated plasma gradients is shown. Obtained results can be used as a basis for full-scale numerical experiments on electric breakdown in gases.

Keywords: plasma modeling, gas breakdown, adaptive methods, streamers, pulsed discharge

References

1. Bogdanov E.A., Kolobov V.I., Kudryavtsev A.A., Tsendin L.D. Scaling laws for oxygen discharge plasmas //

Technical Physics. 2002. V. 47. N 8. P. 946–954.

2. Bogdanov E.A., Kudryavtsev A.A., Tsendin L.D., Arslanbekov R.R., Kolobov V.I., Kudryavtsev V.V. Substantiation

of the two-temperature kinetic model by comparing calculations within the kinetic and fluid models

of the positive column plasma of a DC oxygen discharge // Technical Physics. 2003. V. 48. N 8. P. 983–

994.

3. Bogdanov E.A., Kudryavtsev A.A., Tsendin L.D., Arslanbekov R.R., Kolobov V.I., Kudryavtsev V.V. Scaling

laws for the spatial distributions of the plasma parameters in the positive column of a DC oxygen discharge

// Technical Physics. 2003. V. 48. N 9. P. 1151–1158.

4. Gutsev S.A., Kudryavtsev A.A., Zamchiy R.Yu., Demidov V.I., Kolobov V.I. Diagnostics and modeling of a

short (without positive column) glow discharge in helium with nonlocal plasma // Proc. 40th European Physical

Society Conference on Plasma Physics. Finland, 2013. N 06.502.

5. Чернышева М.В., Марек В.П., Чирцов А.С., Швагер Д.А. Компьютерное моделирование при изучении

физических процессов в тлеющем разряде в воздушных смесях при низких давлениях // Научно-

технический вестник информационных технологий, механики и оптики. 2014. № 3 (91). С. 140–146.

6. Mesyats G.A. Similarity laws for pulsed gas discharges // Physics–Uspekhi. 2006. V. 49. N 10. P. 1045–

1065.

7. Bogdanov E.A., Chirtsov A.S., Kudryavtsev A.A. Fluxes of charged particles in two-chamber ICP discharge

in oxygen // IEEE Transactions on Plasma Science. 2011. V. 39. N 11 part 1. P. 2562–2563.

8. Chirtsov A.S., Kapustin K.D., Kudryavtsev A.A., Bogdanov E.A. Nonlocal behavior of electron fluxes and

excitation rates for «local» EEDF in moderate and high pressures DC positive column plasmas // IEEE

Transactions on Plasma Science. 2011. V. 39. N 11 part 1. P. 2580–2581.

9. Rafatov I. Bogdanov E.A., Kudryavtsev A.A. On the accuracy and reliability of different fluid models of the

direct current glow discharge // Physics of Plasmas. 2012. V. 19. N 3. Art. 033502.

10. Bogdanov E.A., Chirtsov A.S., Kudryavtsev A.A. Fundamental nonambipolarity of electron fluxes in 2D

plasmas // Physical Reviews Letters. 2011. V. 106. N 19. Art. 195001.

11. Райзер Ю.П. Физика газового разряда. 3-е изд. Долгопрудный: Интеллект, 2009. 736 с.

12. Kolobov V.I., Aslanbekov R.R. Simulations of low-temperature plasmas with adaptive cartesian mesh // ASP

Conference Series. 2012. V. 459. P. 328–333.

13. Hagelaar G.J.M., Kroesen G.M.W., Van Slooten U., Schreuders H. Modeling of the microdischarges in

plasma addressed liquid crystal displays // Journal of Applied Physics. 2000. V. 88. N 5. P. 2252–2262.

14. Kolobov V.I., Arslanbekov R.R., E Bogdanov.A., Eliseev S., Kudryavtsev A.A. Comparison of computational

tools for simulations of glow and corona discharges // Proc. XXXI International Conference on Phenomena

in Ionized Gases (ICPIG). Granada, Spain, 2013. PS2-024.

15. Базелян Э.П., Райзер Ю.П. Искровой разряд. М.: МФТИ, 1997. 320 с.

16. Kolobov V.I., Arslanbekov R.R. Towards adaptive kinetic-fluid simulations of weakly ionized plasmas //

Journal of Computational Physics. 2012. V. 231. N 3. P. 839–869.

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License