RK-MRTD算法的稳定性及数值色散性分析

Stability and numerical dispersion of RK-MRTD schemes

将龙格-库塔(Runge-Kutta)方法引入到时域多分辨分析(MRTD)算法,即在时间上采用Runge-Kutta方法离散,并用此算法解决传统时域有限差分(FDTD)算法较大的色散误差问题.对Runge-Kutta时域多分辨分析算法(RK-MRTD)的稳定性和数值色散性进行系统分析,数值结果表明该方法具有高精度性.

The Runge-Kutta method was applied to Mutliresolution Time Domain（MRTD） scheme to solve the dispersion error of the traditional finite difference time-domain（FDTD） method,and the sheme in time direction was discretized using Runge-Kutta method.The stability and numerical dispersion equation of the Runge-Kutta mutliresolution time domain（RK-MRTD） method were deduced,numerical results showed the high accuracy of the RK-MRTD scheme.