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Astrophysics

arXiv:0706.0521 (astro-ph)
[Submitted on 4 Jun 2007]

Title:A trilinear method for finding null points in a 3D vector space

Authors:Andrew L. Haynes (1), Clare E. Parnell (1) ((1) University of St Andrews)
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Abstract: Null points are important locations in vector fields, such as a magnetic field. A new technique (a trilinear method for finding null points) is presented for finding null points over a large grid of points, such as those derived from a numerical experiment. The method was designed so that the null points found would agree with any fieldlines traced using the commonly used trilinear interpolation. It is split into three parts: reduction, analysis and positioning, which, when combined, provide an efficient means of locating null points to a user-defined sub-grid accuracy. We compare the results of the trilinear method with that of a method based on the Poincare index, and discuss the accuracy and limitations of both methods.
Comments: 12 pages, 4 figures, submitted to Physics of Plasmas
Subjects: Astrophysics (astro-ph)
Cite as: arXiv:0706.0521 [astro-ph]
  (or arXiv:0706.0521v1 [astro-ph] for this version)
  https://doi.org/10.48550/arXiv.0706.0521
Related DOI: https://doi.org/10.1063/1.2756751

Submission history

From: Andrew Haynes [view email]
[v1] Mon, 4 Jun 2007 20:12:59 UTC (137 KB)
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