Moving-boundary approximation for curved streamer ionization fronts: Numerical tests

被引:4
作者
Brau, Fabian [1 ]
Luque, Alejandro [1 ]
Davidovitch, Benny [2 ]
Ebert, Ute [1 ,3 ]
机构
[1] CWI, NL-1090 GB Amsterdam, Netherlands
[2] Univ Massachusetts, Dept Phys, Amherst, MA 01003 USA
[3] Eindhoven Univ Technol, Dept Phys, NL-5600 MB Eindhoven, Netherlands
来源
PHYSICAL REVIEW E | 2009年 / 79卷 / 06期
关键词
discharges (electric); ionisation; numerical analysis; plasma simulation; PROPAGATION; SIMULATION; GROWTH;
D O I
10.1103/PhysRevE.79.066211
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Recently a moving boundary approximation for the minimal model for negative streamer ionization fronts was extended with effects due to front curvature; this was done through a systematic solvability analysis. A central prediction of this analysis is the existence of a nonvanishing electric field in the streamer interior, whose value is proportional to the front curvature. In this paper we compare this result and other predictions of the solvability analysis with numerical simulations of the minimal model.
引用
收藏
页数:9
相关论文
共 35 条
[1]   Stability of negative ionization fronts:: Regularization by electric screening? -: art. no. 036214 [J].
Arrayás, M ;
Ebert, U .
PHYSICAL REVIEW E, 2004, 69 (03) :036214-1
[2]   Spontaneous branching of anode-directed streamers between planar electrodes -: art. no. 174502 [J].
Arrayás, M ;
Ebert, U ;
Hundsdorfer, W .
PHYSICAL REVIEW LETTERS, 2002, 88 (17) :1745021-1745024
[3]   Mechanism of branching in negative ionization fronts -: art. no. 165001 [J].
Arrayás, M ;
Fontelos, MA ;
Trueba, JL .
PHYSICAL REVIEW LETTERS, 2005, 95 (16)
[4]   Construction and test of a moving boundary model for negative streamer discharges [J].
Brau, Fabian ;
Luque, Alejandro ;
Meulenbroek, Bernard ;
Ebert, Ute ;
Schaefer, Lothar .
PHYSICAL REVIEW E, 2008, 77 (02)
[5]   Moving boundary approximation for curved streamer ionization fronts: Solvability analysis [J].
Brau, Fabian ;
Davidovitch, Benny ;
Ebert, Ute .
PHYSICAL REVIEW E, 2008, 78 (05)
[6]   The selection of Saffman-Taylor fingers by kinetic undercooling [J].
Chapman, SJ ;
King, JR .
JOURNAL OF ENGINEERING MATHEMATICS, 2003, 46 (01) :1-32
[7]   Laplacian Instability of Planar Streamer Ionization Fronts - An Example of Pulled Front Analysis [J].
Derks, Gianne ;
Ebert, Ute ;
Meulenbroek, Bernard .
JOURNAL OF NONLINEAR SCIENCE, 2008, 18 (05) :551-590
[8]   TWO-DIMENSIONAL STUDIES OF STREAMERS IN GASES [J].
DHALI, SK ;
WILLIAMS, PF .
JOURNAL OF APPLIED PHYSICS, 1987, 62 (12) :4696-4707
[9]   NUMERICAL-SIMULATION OF STREAMER PROPAGATION IN NITROGEN AT ATMOSPHERIC-PRESSURE [J].
DHALI, SK ;
WILLIAMS, PF .
PHYSICAL REVIEW A, 1985, 31 (02) :1219-1221
[10]   Streamer propagation as a pattern formation problem: Planar fronts [J].
Ebert, U ;
vanSaarloos, W ;
Caroli, C .
PHYSICAL REVIEW LETTERS, 1996, 77 (20) :4178-4181