A trilinear method for finding null points in a 3D vector space
Astrophysics
2009-11-13 v1
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.
Cite
@article{arxiv.0706.0521,
title = {A trilinear method for finding null points in a 3D vector space},
author = {Andrew L. Haynes and Clare E. Parnell},
journal= {arXiv preprint arXiv:0706.0521},
year = {2009}
}