A trilinear method for finding null points in a three-dimensional vector space

被引：98

作者：

Haynes, A. L. ^{[1
]}

Parnell, C. E. ^{[1
]}

机构：

[1] Univ St Andrews, Dept Math & Stat, St Andrews KY16 9SS, Fife, Scotland

来源：

PHYSICS OF PLASMAS | 2007年 / 14卷 / 08期

基金：

英国科学技术设施理事会;

关键词：

D O I：

10.1063/1.2756751

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：

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 field lines 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 subgrid 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. (C) 2007 American Institute of Physics.

引用

页数：8

共 19 条

[1]

Bungey TN, 1996, ASTRON ASTROPHYS, V308, P233

[2] Magnetotail field topology in a three-dimensional global particle simulation [J].

Cai, DongSheng ;

Nishikawa, Ken-ichi ;

Lembege, Bertrand .

PLASMA PHYSICS AND CONTROLLED FUSION, 2006, 48 (12B) :B123-B135

[3] Separator reconnection at Earth's dayside magnetopause under generic northward interplanetary magnetic field conditions [J].

Dorelli, John C. ;

Bhattacharjee, Amitava ;

Raeder, Joachim .

JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS, 2007, 112 (A2)

[4]

GREEN RM, 1965, P IAU S 22 STELL SOL, P398

[5] LOCATING 3-DIMENSIONAL ROOTS BY A BISECTION METHOD [J].

GREENE, JM .

JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 98 (02) :194-198

[6] MHD mode coupling in the neighbourhood of a 2D null point [J].

McLaughlin, J. A. ;

Hood, A. W. .

ASTRONOMY & ASTROPHYSICS, 2006, 459 (02) :641-649

[7] MHD wave propagation in the neighbourhood of two null points [J].

McLaughlin, JA ;

Hood, AW .

ASTRONOMY & ASTROPHYSICS, 2005, 435 (01) :313-325

[8] Simple emergence structures from complex magnetic fields [J].

Murray, M. J. ;

Hood, A. W. .

ASTRONOMY & ASTROPHYSICS, 2007, 470 (02) :709-719

[9] The structure of three-dimensional magnetic neutral points [J].

Parnell, CE ;

Smith, JM ;

Neukirch, T ;

Priest, ER .

PHYSICS OF PLASMAS, 1996, 3 (03) :759-770

[10] Current sheet formation and nonideal behavior at three-dimensional magnetic null points [J].

Pontin, D. I. ;

Bhattacharjee, A. ;

Galsgaard, K. .

PHYSICS OF PLASMAS, 2007, 14 (05)

← 1 2 →