Numerical instability in a 2D gyrokinetic code caused by divergent E x B flow

The discovery and analysis of, and the remedy to, a numerical instability in a 2D electrostatic gyrokinetic code are reported. A detailed perturbation analysis of the code algorithm is presented and the analysis is extended to many popularly used combinations of interpolation methods and field algor...

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Veröffentlicht in:Journal of Computational Physics 1994-12, Vol.115 (2), p.352-365
Hauptverfasser: Byers, J A, Dimits, A M, Matsuda, Y, Langdon, A B
Format: Artikel
Sprache:eng
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Zusammenfassung:The discovery and analysis of, and the remedy to, a numerical instability in a 2D electrostatic gyrokinetic code are reported. A detailed perturbation analysis of the code algorithm is presented and the analysis is extended to many popularly used combinations of interpolation methods and field algorithms. The continuous limit is analytically examined. The results are discussed, specifying in detail which methods are stable and which unstable. (AIAA)
ISSN:0021-9991
DOI:10.1006/jcph.1994.1201