The spatial fourth-order compact splitting FDTD scheme with modified energy-conserved identity for two-dimensional Lorentz model

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:367

Article

Li, W.¹  Liang, D.^2,3 

[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China

[2] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada

[3] Ocean Univ China, Sch Math Sci, Qingdao 266100, Shandong, Peoples R China

关键词: Lorentz model;    Compact splitting FDTD;    Spatial fourth-order;    Modified discrete energy conservation;    Convergence;    Numerical dispersion;   

DOI  :  10.1016/j.cam.2019.112428

来源: Elsevier

【 摘 要 】

In this paper, we give the energy conservation for the electromagnetic fields propagating in two-dimensional Lorentz media and develop a new spatial fourth-order compact splitting FDTD scheme to solve the two-dimensional electromagnetic Lorentz system. The spatial compact finite difference technique and the splitting technique are combined to construct the numerical scheme. The advantages of the developed scheme lie in its fourth-order accuracy in space and second-order accuracy in time, modified discrete energy conservation, unconditional stability as well as its easy implementation. These results are demonstrated rigorously in the paper. Numerical dissipation and numerical dispersion analysis are shown and numerical dispersion errors are compared with other schemes. Besides, numerical tests verify the modified discrete energy conservation and convergence ratios in time and space. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free