Study of an Explicit Meshless Method Using RPIM for Electromagnetic Fields

Author

Tanaka, Yuichi ; Tone, R. ; Fujimoto, Yasutaka

Author_Institution

Grad. Sch. of Eng., Hiroshima Univ., Hiroshima, Japan

Volume

49

Issue

5

fYear

2013

fDate

May-13

Firstpage

1577

Lastpage

1580

Abstract

An explicit meshless method for analyzing electromagnetic fields is proposed in this paper. In the proposed method, the wave equation and the Lorentz gauge are discretized using the radial point interpolation method (RPIM) and Newmark´s β method. The Taylor series expansion is also used to obtain an explicit scheme. The proposed method has been applied to the following examples: the magnetic field from a square coil, a Hertz dipole, and an eddy current in a thin plate. The potential of the proposed method has been confirmed through these examples.

Keywords

coils; eddy currents; electromagnetic fields; interpolation; plates (structures); series (mathematics); wave equations; Hertz dipole; Newmark β method; RPIM; Taylor series expansion; discretized Lorentz gauge; eddy current; electromagnetic fields; explicit meshless method; radial point interpolation method; square coil; thin plate; wave equation; Meshless method; numerical instability; radial interpolation method; transient electromagnetic field;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2013.2243822

Filename

6514761