The finite volume method solution of the radiative transfer equation for photon transport in non-thermal gas discharges: Application to the calculation of photoionization in streamer discharges

Journal of Physics D: Applied Physics

Volumn 41, Issue 23, 2008, Pages

  Capeillère, Julien ^a   Ségur, Pierre ^a   Bourdon, Anne ^b   Célestin, Sébastien ^b   Pancheshnyi, Sergey ^a  

^a Natl Sup d'Electrotechnique d'Electronique d'Informatique et d'Hydraulique de Toulouse   (France)

^b LABORATOIRE EM2C   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ABSORPTION COEFFICIENTS; APPROXIMATE METHODS; APPROXIMATE SOLUTION; ARTIFICIAL SOURCES; COMPUTATION TIME; DEVELOPED MODEL; ELECTRON DENSITIES; FINITE VOLUME; GAUSSIAN SHAPE; GROUND PRESSURE; INTEGRAL MODEL; NEGATIVE STREAMERS; NONTHERMAL; PHOTON TRANSPORT; RADIATIVE TRANSFER EQUATIONS; SOURCE TERMS; STREAMER DISCHARGES; STREAMER PROPAGATION;

ABSORPTION SPECTRA; FINITE VOLUME METHOD; FLOW FIELDS; GLOW DISCHARGES; HEAT RADIATION; PHOTOIONIZATION; RADIATIVE TRANSFER;

GAS ABSORPTION;

EID: 65249182317     PISSN: 00223727     EISSN: 13616463     Source Type: Journal    
DOI: 10.1088/0022-3727/41/23/234018     Document Type: Article

References (34)

1. Babaeva N Y and Naidis G V 1997 Dynamics of positive and negative streamers in air in weak uniform electric fields IEEE Trans. Plasma Sci. 25 375-9
2. Bastien F and Marode E 1979 The determination of basic quantities during glow-to-arc transition in a positive point-to-plane discharge J. Phys. D: Appl. Phys. 12 249-63
3. Bourdon A, Pasko V, Liu N, Célestin S, Ségur P and Marode E 2007 Efficient models for photoionization produced by non-thermal gas discharges in air based on radiative transfer and Helmholtz equations Plasma Sources Sci. Technol. 16 656-78 (Pubitemid 47241032)
4. Carlson B and Lathrop K 1968 Transport theory-the method of discrete ordinates Computing Methods in Reactor Physics ed H Greenspan et al (New York: Gordon and Breach)
5. Chui E H and Raithby G D 1992 Prediction of radiative transfer in cylindrical enclosures with the finite volume method J. Thermophys. Heat Transfer 6 605-11
6. Dhali S K and Williams P F 1987 Two-dimensional studies of streamers in gases J. Appl. Phys. 62 4696-707
7. Goody R 1996 Principles of Atmospheric Physics and Chemistry (Oxford: Oxford University Press)
8. Hallac A, Georghiou G E and Metaxas A C 2003 Secondary emission effects on streamer branching in transient non-uniform short-gap discharges J. Phys. D: Appl. Phys. 36 2498-509
9. Kulikovsky A A 1997 Positive streamer between parallel plate electrodes in atmospheric pressure air J. Phys. D: Appl. Phys. 30 441-50
10. Kulikovsky A A 2000 The role of photoionization in positive streamer dynamics J. Phys. D: Appl. Phys. 33 1514-24
11. Kunhardt E E and Tzeng Y 1988 Development of an electron avalanche and its transition into streamers Phys. Rev. A 38 1410-21
12. N approximations to the equations of radiative heat transfer and applications J. Comput. Phys. 183 652-75
13. Lathrop K 1966 Use of discrete ordinate methods for solution of photon problems Nucl. Sci. Eng. 24 381-8
14. N approximation to transport theory Technical Report Technical Information Series Report, LA 2595 Lawrence Livermore Laboratory
15. Lewis E and Miller J 1984 Computational Methods of Neutron Transport (New York: Wiley)
16. Liu F, Becker H and Pollard A 1996 Spatial differencing schemes of the discrete-ordinates method Numer. Heat Transfer B: Fundamentals 30 23-43
17. Liu N Y, Célestin S, Bourdon A, Pasko V P, Ségur P and Marode E 2007 Application of photoionization models based on radiative transfer and the Helmhotz equations to studies of streamers in weak electric fields Appl. Phys. Lett. 91 211501
18. Liu N Y and Pasko V P 2004 Effects of photoionization on propagation and branching of positive and negative streamers in sprites J. Geophys. Res. 109 A04301
19. Loeb L B and Meek J M 1940 The mechanism of spark discharge in air at atmospheric pressure J. Appl. Phys. 11 438-47
20. Luque A, Ebert U, Montijn C and Hundsdorfer W 2007 Photoionization in negative streamers: fast computations and two propagation modes Appl. Phys. Lett. 90 081501
21. Modest M 2003 Radiative Heat Transfer 2nd edn (New York: Academic)
22. Molisch A and Oehrig B 1998 Radiation Trapping in Atomic Vapors (Oxford: Clarendon) (Oxford Scientific Publications)
23. Morrow R and Lowke J J 1997 Streamer propagation in air J. Phys. D: Appl. Phys. 30 614-27
24. Naidis G V 2006 On photoionization produced by discharges in air Plasma Sources Sci. Technol. 15 253-5
25. Pancheshnyi S V, Starikovskaia S M and Starikovskii A Y 2001 Role of photoionization processes in propagation of cathode-directed streamer J. Phys. D: Appl. Phys. 34 105-15
26. Pancheshnyi S V 2005 Role of electronegative gas admixtures in streamer start, propagation and branching phenomena Plasma Sources Sci. Technol. 14 645-53
27. Pomraning G 1973 The Equations of Radiation Hydrodynamics (Oxford: Pergamon)
28. Raizer Y P 1991 Gas Discharge Physics (Berlin: Springer)
29. Rocco A, Ebert U and Hundsdorfer W 2002 Branching of negative streamers in free flight Phys. Rev. E 66 035102
30. Ségur P, Bourdon A, Marode E, Bessières D and Paillol J H 2006 The use of an improved Eddington approximation to facilitate the calculation of photoionization in streamer discharges Plasma Sources Sci. Technol. 15 648-60
31. 6 mixtures Phys. Rev. A 37 4396-406
32. Yoshida K and Tagashira H 1976 Computer simulation of a nitrogen discharge at high overvoltages J. Phys. D: Appl. Phys. 9 491-505
33. Zalesak S T 1979 Fully multidimensional flux-corrected transport algorithms for fluids J. Comput. Phys. 31 335-62
34. Zheleznyak M B, Mnatsakanyan A K and Sizykh S V 1982 Photoionization of nitrogen and oxygen mixtures by radiation from a gas discharge High Temp. 20 357-62