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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2024-01-23
Relaxation of the Courant Condition in the Explicit Finite-Difference Time-Domain(2,6) Method with Third- and Fifth-Degree Differential Terms
By
Harune Sekido,

    Ms. Harune Sekido

    Institute for Space-Earth Environmental Research

    Nagoya University

    Japan

    Homepage

Takayuki Umeda

    Dr. Takayuki Umeda

    Institute for Space-Earth Environmental Research

    Nagoya University

    Japan

    Homepage

Progress In Electromagnetics Research M, Vol. 123, 83-93, 2024
doi:10.2528/PIERM23042504 | Google Scholar

Abstract
A new non-dissipative and explicit finite-difference time-domain (FDTD) method is proposed for relaxation of the Courant condition of FDTD(2,6) in three and two dimensions. To the time-development equations, the third- and fifth-degree spatial difference terms with fourth- and second-order accuracy, respectively, are appended with coefficients. A set of optimal coefficients for the appended terms is searched to minimize the numerical error in phase velocity but relax the Courant condition as well. The numerical errors with the new method are more reduced than those with the previous methods for each Courant number. However, there exists a large anisotropy in the phase velocity errors at large Courant numbers.
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Citation
Harune Sekido, and Takayuki Umeda, "Relaxation of the Courant Condition in the Explicit Finite-Difference Time-Domain(2,6) Method with Third- and Fifth-Degree Differential Terms," Progress In Electromagnetics Research M, Vol. 123, 83-93, 2024.
doi:10.2528/PIERM23042504
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