Plasma and Fusion Research

Volume 10, 3406072 (2015)

Regular Articles

Numerical Investigation of Electromagnetic Wave Propagation Phenomena by Three-Dimensional Meshless Time-Domain Method
Yoshiharu OHI and Soichiro IKUNO1)
RIKEN Advanced Institute for Computational Science, 7-1-26 Minatojima-minami-machi, Chuo-ku, Kobe, Hyogo 650-0047, Japan
1)
Tokyo University of Technology, 1404-1 Katakura-machi, Hachioji, Tokyo 192-0982, Japan
(Received 25 November 2014 / Accepted 9 March 2015 / Published 25 September 2015)

Abstract

The finite-difference time-domain method (FDTDM) is commonly applied to time dependent electromagnetic wave propagation simulations. In the FDTDM, the nodes of electric and magnetic fields are located based on an orthogonal mesh called the Yee-lattice. However, using this method, it is difficult to express a complex shaped domain. The radial point interpolation method (RPIM) is a meshless method that can be applied to electromagnetic wave propagation simulations. The meshless time-domain method (MTDM) based on RPIM can treat complex shaped domains easily. In previous studies, the computational accuracy and numerical stability of the three-dimensional (3-D) MTDM has not been clear. The present study numerically investigates the influence of weight functions on the computational accuracy and numerical stability of the 3-D MTDM. We perform numerical simulations, the results of which show that the multi-quadratic, reciprocal multi-quadratic and quadratic spline functions should be employed for the weight functions.

Keywords

finite-difference time-domain method, meshless time-domain method, radial point interpolation method

DOI: 10.1585/pfr.10.3406072

Full Text

PDF format (394Kbytes) PDF Download

References

  • [1] K.S. Yee, IEEE Trans. Antennas Propag. 14, 3, 302 (1966).
  • [2] T. Belytschko, L.Y. Yun and T. Lei, Int. J. Numer. Methods Eng. 37, 2, 229 (1994).
  • [3] J.G. Wang and G.R. Liu, Int. J. Numer. Methods Eng. 54, 11, 1623 (2002).
  • [4] T. Kaufmann, F. Christophe and V. Rudiger, Microwave Symposium Digest, 2008 IEEE MTT-S International, pp.61-64.
  • [5] T. Kaufmann, C. Engstrom, C. Fumeaux and R. Vahldieck, IEEE Trans. Microw. Theory Tech. 58, 12, 3399 (2010).
  • [6] S. Ikuno, Y. Fujita, Y. Hirokawa, T. Itoh, S. Nakata and A. Kamitani, IEEE Trans. Magn. 49, 5, 1613 (2013).
  • [7] M. Powell, The Theory of Radial Basis Function Approximation in 1990 (Oxford, 1992) pp.105-203.
  • [8] G.E. Fasshauer, Proceedings of Chamonix, Vanderbilt University Press Nashville, TN, 1997 (1996), pp.1-8.
  • [9] Y. Ohi, Y. Fujita, T. Itoh, H. Nakamura and S. Ikuno, Plasma Fusion Res. 9, 3401144 (2014).
  • [10] R. Becker and F. Sauter, Electromagnetic Fields and Interactions (Dover Publications, New York, 1982).

This paper may be cited as follows:

Yoshiharu OHI and Soichiro IKUNO, Plasma Fusion Res. 10, 3406072 (2015).