Paper Info
Title
Conformal FDTD-methods to avoid time step reduction with and without cell enlargement
Abstract
During the last decades there have been considerable efforts to develop accurate and yet simple conformal methods for modelling curved boundaries within the finite difference time domain (FDTD) algorithm. In an earlier publication we proposed the uniformly stable conformal (USC) approach as a general three-dimensional extension of FDTD without the need to reduce the maximum stable time step. The main idea of USC is the usage of virtually enlarged cells near to the boundary, leading to an increased implementation effort. In this paper we review the USC method and introduce a new simple and accurate conformal scheme which does not use such enlarged cells. This simplified conformal (SC) scheme has the same number of operations and algorithmic logic as the standard ''staircase'' method, and thus is easily realizable in existing FDTD codes. Like USC, it leads to accurate results without time step reduction, showing a nearly second order convergence in practice. The method is verified and compared to other approaches by means of several numerical 2D and 3D examples.
Year
DOI
Venue
2007
10.1016/j.jcp.2007.02.002
J. Comput. Physics
Keywords
Field
DocType
cell enlargement,time step reduction,maxwell’s equations,fdtd,enlarged cell,simple conformal method,conformal fdtd-methods,conformal,accurate result,stable conformal,finite integration,finite difference time domain,fdtd code,maximum stable time step,accurate conformal scheme,wake field,staircase,usc method,three dimensional,maxwell s equations,second order
Convergence (routing),Finite integration,Applied mathematics,Mathematical analysis,Conformal map,Algorithmic logic,Finite-difference time-domain method,Calculus,Mathematics,Maxwell's equations
Journal
Volume
Issue
ISSN
225
2
Journal of Computational Physics
Citations 
PageRank 
References 
5
1.37
0
Authors
3
Name
Order
Citations
PageRank
Igor Zagorodnov152.05
Rolf Schuhmann251.37
Thomas Weiland3246.26