Plasma and Fusion Research
Volume 9, 3401144 (2014)
Regular Articles
- RIKEN Advanced Institute for Computational Science, Chuo-ku, Kobe, Hyogo 650-0047, Japan
- 1)
- Department of Energy Engineering and Science, Nagoya University, Toki, Gifu 509-5292, Japan
- 2)
- School of Computer Science, Tokyo University of Technology, Hachioji, Tokyo 192-0982, Japan
- 3)
- National Institute for Fusion Science, Toki, Gifu 509-5292, Japan
Abstract
The finite difference time domain method (FDTDM) is a robust numerical scheme for time-dependent electromagnetic wave propagation phenomena that uses orthogonal meshes, like staggered meshes, also known as Yee lattices. However, treating complex shaped domains is challenging for the FDTDM. Meshless methods, in contrast, do not require meshes for a geometrical structure. The meshless time domain method (MTDM), based on the radial point interpolation method, can be used for numerical simulations in computational electromagnetics. In MTDM, shape functions have to be generated before the time-dependent calculation, and the computational cost involved can be very large. We herein propose a new method for reducing the computational cost of generating shape functions and we confirm the effectiveness of the proposed method by numerical experiments.
Keywords
finite difference time domain method, meshless time domain method, radial point interpolation method
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References
- [1] K.S. Yee, IEEE Trans. Antennas Propag. 14, 3, 302 (1966).
- [2] T. Hanawa et al., IEEE Trans. Magn. 43, 1545 (2007).
- [3] T. Belytshko et al., Int. J. Numer. Methods Eng. 37, 2, 229 (1994).
- [4] J.G. Wang et al., Int. J. Numer. Methods Eng. 54, 11, 1623 (2002).
- [5] T. Kaufmann et al., Microwave Symposium Digest, 2008 IEEE MTT-S International (2008) pp.61-64.
- [6] T. Kaufmann et al., IEEE Trans. Microw. Theory Tech. 58, 12, 3399 (2010).
- [7] S. Ikuno et al., IEEE Trans. Magn. 49, 5, 1613 (2013).
- [8] M. Powell, The theory of radial basis function approximation in 1990 (Oxford, 1992) pp.105-203.
- [9] G.E. Fasshauer, Proceedings of Chamonix (Vanderbilt University Press: Nashville, 1996) pp.1-8.
This paper may be cited as follows:
Yoshiharu OHI, Yoshihisa FUJITA, Taku ITOH, Hiroaki NAKAMURA and Soichiro IKUNO, Plasma Fusion Res. 9, 3401144 (2014).