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An Improved Seeding Algorithm of Magnetic Flux Lines Based on Data in 3D Space Cover

An Improved Seeding Algorithm of Magnetic Flux Lines Based on Data in 3D Space

Data Science Journal
Volume 14 (2015): Issue 0
By: ,   and    
Open Access
|May 2015
Figures & tables

Figures & Tables

Figure 1

Plane S with its sub-planes.

Figure 2

The domain of subdivision along axis X and axis Y.

Figure 3

The variations of magnetic flux caused by the errors.

Figure 4

The distribution of magnetic flux lines from dipole field on the magnetic equatorial plane.

Figure 5

The distribution of seed points from the equivalent magnetic flux algorithm.

Table 1

The accuracies of the traditional and improved algorithms with the same number of grids using different subdivisions.

4/9x4/9 subdomain A5/9x5/9 subdomain B7/9x7/9 subdomain C
18x1827x2736x3618x1827x2736x3618x1827x2736x36
N30.121130.119730.1192N43.698843.697343.6967N74.220174.218974.2185
ε (%)7.57547.57057.5688ε (%)1.62511.62161.6204ε (%)0.29750.29590.2953
9x369x8118x729x369x8118x729x369x8118x72
N'30.113630.112830.1174N'43.690343.689543.6946N'74.213474.212774.2168
ε' (%)7.54867.54587.5621ε' (%)1.60531.60341.6155ε' (%)0.28840.28740.2931
Table 2

The accuracies of the traditional and improved algorithms with a different numbers of grids using different subdivisions.

4/9x4/9 subdomain A5/9x5/9 subdomain B7/9x7/9 subdomain C
18x1827x2736x3618x1827x2736x3618x1827x2736x36
N30.121130.119730.1192N43.698843.697343.6967N74.220174.218974.2185
ε (%)7.57547.57057.5688ε (%)1.62511.62161.6204ε (%)0.29750.29590.2953
9x1818x2727x369x1818x2727x369x1818x2727x36
N'30.116530.118930.1189N'43.693743.696343.6964N'74.216074.218274.2183
ε' (%)7.55927.56757.5677ε' (%)1.61321.61941.6196ε' (%)0.29190.29490.2950
DOI: https://doi.org/10.5334/dsj-2015-006 | Journal eISSN: 1683-1470
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Language: English
Page range: 6 - 6
Published on: May 22, 2015
Published by: Ubiquity Press
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
Magnetic field visualization,
Seeding algorithm,
Density of magnetic flux lines,
Subdivisions of the plane,
Equivalent magnetic flux algorithm

© 2015 Jia Zhong, Xiaoyan Hu, Ziming Zou, published by Ubiquity Press
This work is licensed under the Creative Commons Attribution 4.0 License.

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