Development and analysis of computational algorithm of the Maxwell's equations in flat domains

All-Russian conference on Nonlinear Waves: Theory and New Applications

Boronina, M.A.^1 ; Vshivkov, V.A.^2,3

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, Russia^1

Novosibirsk State University, Novosibirsk, Russia^2

Lavrentyev Institute of Hydrodynamics SB RAS, Novosibirsk, Russia^3

关键词: Computational algorithm;    Finite difference approximations;    Numerical experiments;    Numerical results;    Plasma physics;    Propagation speed;    Three-dimensional domain;    Wave amplitudes;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/722/1/012006/pdf
DOI  :  10.1088/1742-6596/722/1/012006

来源: IOP

【 摘 要 】

We present a new scheme for the Maxwell's equations computations in threedimensional domains, where size in one direction is much smaller than the other sizes. The scheme is based on the Langdon-Lasinski scheme, which is standard for numerical experiments in plasma physics. Our study is devoted to analysis of correct wave propagation due to the effects of using a finite-difference approximation. To show the main dependencies we present numerical results in one-dimensional case. The results demonstrate, that the new scheme maintains the wave amplitude, the propagation speed and allows using of bigger time step in comparison with the Langdon-Lasinski scheme.