区域分解时域有限差分方法(DD-FDTD)及其在散射问题中的应用

The Domain Decomposition FDTD Algorithm (DD-FDTD) and Its Application in Scattering Problems

本文提出一种区域分解的时域有限差分算法 (DD FDTD) .依据待解问题的特点 ,把待解问题分解为几个子区域 ,在各个子区域中 ,采用适合于该区域的共形网格进行划分计算 ,通过一种有效的信息传递方案 ,把各个子区域综合起来 ,获得原问题的解 .通过采用这种方法 ,一个复杂的问题可以得到简化 ,从而变得适于求解 ,同时 ,共形网格和精确的信息传递方案的使用 ,大幅度提高了计算精度 .文中 ,用该算法对二维电磁散射问题进行了分析计算 。

The domain decomposition FDTD method (DD-FDTD) is presented for solving complex problems and improving the accuracy of solutions.Based on this idea,the original domain is decomposed into several sub domains according to the features of the problem.In each sub domain,the conformal meshes are created in local coordinates and the FDTD computation is carried out independently in local meshes and local time step,and there is no stability concern.In the iteration procedure of FDTD,the data are exchanged between adjacent sub domains with overlapped meshes.A suitable data exchanging scheme proposed here integrates the sub domains and leads to a more exact solution.This greatly increased the calculation efficiency.A 2 D scattering problem is calculated by using this method and the accuracy of the solution validates the usefulness and exactness of this method.