dorsal/arxiv
View SchemaNumerical convergence of the branching time of negative streamers
| Authors | Carolynne Montijn, Ute Ebert, Willem Hundsdorfer |
|---|---|
| Categories | |
| ArXiv ID | physics/0604012 |
| URL | https://arxiv.org/abs/physics/0604012 |
| DOI | 10.1103/PhysRevE.73.065401 |
| Journal | Phys. Rev. E 73, 065401 (R) (2006) |
Abstract
In sufficiently large gaps and electric fields, discharge streamers do branch. In [Arrayas et al., PRL 88, 174502 (2002)], we observed streamer branching numerically within a deterministic particle density model and explained it as a Laplacian instability of a thin space charge layer. Our numerical results were criticized in [Kulikovsky, PRL 89, 229401 (2002)]. We here present an adaptive grid refinement method for streamer simulations, and we carry out the first conclusive investigation on the effect of the numerical grid on streamer branching in different fields. On stepwise finer grids the branching time converges, hence streamer branching is for the first time predicted quantitatively.
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"abstract": "In sufficiently large gaps and electric fields, discharge streamers do\nbranch. In [Arrayas et al., PRL 88, 174502 (2002)], we observed streamer\nbranching numerically within a deterministic particle density model and\nexplained it as a Laplacian instability of a thin space charge layer. Our\nnumerical results were criticized in [Kulikovsky, PRL 89, 229401 (2002)]. We\nhere present an adaptive grid refinement method for streamer simulations, and\nwe carry out the first conclusive investigation on the effect of the numerical\ngrid on streamer branching in different fields. On stepwise finer grids the\nbranching time converges, hence streamer branching is for the first time\npredicted quantitatively.",
"arxiv_id": "physics/0604012",
"authors": [
"Carolynne Montijn",
"Ute Ebert",
"Willem Hundsdorfer"
],
"categories": [
"physics.plasm-ph",
"physics.ao-ph"
],
"doi": "10.1103/PhysRevE.73.065401",
"journal_ref": "Phys. Rev. E 73, 065401 (R) (2006)",
"title": "Numerical convergence of the branching time of negative streamers",
"url": "https://arxiv.org/abs/physics/0604012"
},
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