Particle-in-Cell Simulation of Electrical Gas Discharges

Journal of Computational Physics

Volumn 171, Issue 1, 2001, Pages 47-78

  Soria, C ^a   Pontiga, F ^a   Castellanos, A ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

77F05; 77H05; 77xx; Continuity equation; Gain loss rate; Gas discharges; Particle in cell; Source terms; Space charge

Indexed keywords

GASES; INTERPOLATION; IONIZATION OF GASES; NEGATIVE IONS; NUMERICAL METHODS; POISSON EQUATION; REACTION RATES;

77F05; 77H05; 77XX; CONTINUITY EQUATIONS; GAIN LOSS; GAIN/LOSS RATE; GAS DISCHARGE; LOSS RATES; PARTICLE IN CELL; SOURCE TERMS;

ELECTRONS;

EID: 0345816835     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6763     Document Type: Article

References (27)

1. I. Abbas and P. Bayle, A critical analysis of ionizing wave propagation mechanisms in breakdown, J. Phys. D. Appl. Phys. 13, 1055 (1980).
2. J. P. Boris and D. L. Book, Flux-corrected transport. III. Minimal-error FCT algorithms, J. Comput. Phys. 20, 397 (1976).
3. J. U. Brackbill, The ringing instability in particle-in-cell calculations of low-speed flow, J. Comput. Phys. 75, 469 (1988).
4. J. U. Brackbill and H. M. Ruppel, FLIP: A method for adaptatively zoned, particle-in-cell calculations of fluid flows in two dimensions, J. Comput. Phys. 65, 314 (1986).
5. C. K. Bridsall and A. B. Langdon, Plasma Physics via Computer Simulation (IoP Publishing, Bristol, 1991).
6. D. Burgess, D. Sulsky, and J. U. Brackbill, Mass matrix formulation of the flip particle-in-cell method, J. Comput. Phys. 103, 1 (1992).
7. A. Castellanos, A. T. Pérez, and P. Atten, Charge difussion versus Coulomb repulsion in finite amplitude electroconvection, in 1993 IEEE Industry Applications Society Annual Meeting, IEEE Cat. No. 94CH2792-0 (1989), pp. 2112-2117.
8. R. Chicón, A. Castellanos, and E. Marín, Numerical modelling of coulomb-driven convection in insulating liquids, J. Fluid Mech. 344, 43 (1997).
9. A. J. Davies, C. S. Davies, and C. J. Evans, Computer simulation of rapidly developing gaseous discharges, Proc. Inst. Electr. Eng. 118, 816 (1971).
10. L. M. Delves and J. N. Lyness, A numerical method for locating the zeros of an analytic function, Math. Comput. 21(100), 543 (1967).
11. S. K. Dhali and P. F. Williams, Two-dimensional studies of streamers in gases, J. Appl. Phys. 62(12), 4696 (1987).
12. G. E. Georghiou, R. Morrow, and A. C. Metaxas, An improved finite-element flux-corrected transport algorithm, J. Comput. Phys. 148, 605 (1999).
13. G. E. Georghiou, R. Morrow, and A. C. Metaxas, Two-dimensional simulation of streamers using the FE-FCT algorithm, J. Phys. D. Appl. Phys. 33(3), L27 (2000).
14. R. W. Hockney and J. W. Eastwood, Computer Simulaton Using Particles. (Hilger, Bristol, 1988).
15. E. E. Kunhardt and C. Wu, Towards a more accurate flux corrected transport algorithm, J. Comput. Phys. 68, 127 (1987).
16. A. B. Langdon, Effects of the spatial grid in simulation plasmas, J. Comput. Phys. 6, 247 (1970).
17. G. Lapenta, F. Iinoya, and J. U. Brackbill, Particle-in-cell simulation of glow discharges in complex geometries, IEEE Trans. Plasma Sci. 23(4), 769 (1995).
18. E. L. Lindman, Dispersion relation for computer simulated plasmas, J. Comput. Phys. 5, 13 (1970).
19. R. Marqués, F. Mesa, and M. Horno, Non reciprocal and reciprocal complex and backward waves in parallel waveguides loaded with a ferrite slab arbitrarily magnetized, IEEE Trans. Microwave Theory Tech. MTT-41, 1409 (1993).
20. R. Morrow, Numerical solution of hyperbolic equations for electron drift in strongly non-uniform electric fields, J. Comput. Phys. 43, 1 (1981).
21. R. Morrow, Theory of negative corona in oxygen, J. Comput. Phys. 32, 1799 (1985).
22. R. Morrow and L. E. Cram, Computational Techniques and Applications (North-Holland, Amsterdam, 1984), pp. 719-729.
23. R. Morrow and L. E. Cram, Flux-corrected transport and diffusion on an non-uniform mesh, J. Comput. Phys. 57, 129 (1985).
24. P. J. O'Rourke and J. U. Brackbill, On particle-grid interpolation and calculating chemistry in particle-in-cell methods, J. Comput. Phys. 109, 37 (1993).
25. K. Yoshida and H. Tagashira, Computer simulation of a nitrogen discharge at high overvoltages, J. Phys. D. Appl.-Phys. 9(3), 491 (1976).
26. M. Yousfi, A. Poinsignon, and A. Hamani, Finite element method for conservation equations in electrical gas discharge areas, J. Comput. Phys. 113, 268 (1994).
27. S. T. Zalesak, Fully multidimensional flux-corrected transport algorithms for fluids, J. Comput. Phys. 31, 335 (1979).