[Table of Contents]

Plasma and Fusion Research

Volume 8, 2401101 (2013)

Regular Articles

Investigation of Numerical Stability of Electromagnetic Wave Propagation Simulation using Meshless Time-Domain Method
Taku ITOH, Yoshihisa FUJITA, Soichiro IKUNO and Hiroaki NAKAMURA1)
Tokyo University of Technology, 1404-1 Katakura-machi, Hachioji, Tokyo 192-0982, Japan
1)
National Institute for Fusion Science, 322-6 Oroshi-cho, Toki, Gifu 509-5292, Japan
(Received 10 December 2012 / Accepted 13 April 2013 / Published 15 August 2013)

Abstract

To investigate a condition of the numerical stability of an electromagnetic wave propagation simulation using the meshless time-domain method (MTDM), a 1-dimensional (1D) TM mode discretized by the MTDM has been analyzed theoretically. Under some assumptions, the Courant condition for the 1D MTDM has been derived. The Courant condition does not depend on the radial basis functions required to generate shape functions of the MTDM. In addition, the Courant condition for the 1D MTDM is equivalent to that for the finite-difference time-domain method. Based on the result for the 1D case, the Courant condition for the 2-dimensional (2D) MTDM is predicted. Furthermore, for the case where the predicted Courant condition is satisfied, the numerical stability of 2D MTDM has been investigated numerically.

Keywords

meshless time-domain method, finite-difference time-domain method, shape functions of meshless methods, courant condition, electromagnetic wave propagation simulation

DOI: 10.1585/pfr.8.2401101

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This paper may be cited as follows:

Taku ITOH, Yoshihisa FUJITA, Soichiro IKUNO and Hiroaki NAKAMURA, Plasma Fusion Res. 8, 2401101 (2013).