Reduction of Numerical Dispersion in the Explicit Finite-Difference Time-Domain Method with Higher-Order Differential Terms

Harune Sekido; Takayuki Umeda; Yoshizumi Miyoshi

Presentation information

[J] Oral

P (Space and Planetary Sciences ) » P-EM Solar-Terrestrial Sciences, Space Electromagnetism & Space Environment

[P-EM16] Space Plasma Physics: Theory and Simulation

Sun. May 22, 2022 10:45 AM - 12:15 PM 105 (International Conference Hall, Makuhari Messe)

convener:Takanobu Amano(Department of Earth and Planetary Science, University of Tokyo), convener:Yohei Miyake(Education Center on Computational Science and Engineering, Kobe University), Takayuki Umeda(Institute for Space-Earth Environmental Research, Nagoya University), convener:Tadas Nakamura(Fukui Prefectural University), Chairperson:Takayuki Umeda(Institute for Space-Earth Environmental Research, Nagoya University), Takahiro Miyoshi(Graduate School of Advanced Science and Engineering, Hiroshima University)

11:30 AM - 11:45 AM

[PEM16-10] Reduction of Numerical Dispersion in the Explicit Finite-Difference Time-Domain Method with Higher-Order Differential Terms

*Harune Sekido^1,2, Takayuki Umeda², Yoshizumi Miyoshi² (1.Nagoya Univ., 2.ISEE, Nagoya Univ. )

The Finite-Difference Time-Domain (FDTD) method (Yee 1966) is a numerical method for solving the time evolution of electromagnetic fields by approximating Maxwell's equations in both space and time with the finite difference of the second-order accuracy. A higher-order version of the FDTD method is known as FDTD(2,4), which uses the finite difference of the fourth-order accuracy for spatial derivative only (Petropoulos 1994). However, the Courant condition of FDTD(2,4) is more restricted than that of the standard FDTD method. In the present study, a new explicit method is developed by using higher-order spatial derivative terms. The new method relaxes the Courant condition and reduces the numerical error in the phase velocity of electromagnetic waves.