A New Local Time-Step Scheme for Hybrid Finite Difference/Finite Volume Method

Abstract

In this paper, a novel local time-step scheme for hybrid time-domain method combing finite difference and Cell-Centered finite volume method is put forward. This scheme leads to satisfied results and high efficiency with no special requirement for meshes. The principles of the hybrid method and numerical schemes are described and applied to solve three dimensional electromagnetic scattering problems. Two numerical results are given to compare this method with the FDTD alone in terms of accuracy and memory requirement for a solution with a given accuracy. They are also compared with the results obtained by using MOM. It is shown that the presented method is more accurate and efficient.

Hybrid Finite Difference/Finite Volume Method for 3-D Conducting Media Problems

“…It is generally more restrictive than that for the FDTD method. A local time step scheme [16] is used to enhance the efficiency of the hybrid method. In addition, it's necessary to constrain the more computationally intensive FVTD to small regions around the objects.…”

“…Like numerical examples in [16], the hybrid scheme gains in terms of both operations and memory requirements for a solution with a given accuracy in this problem. The limited accuracy of the FDTD simulation is directly related to the way the corrugation edges are represented.…”