A finite-different time-domain subgrid algorithm locally refines the mesh at regions requiring higher resolution. A novel separation of spatial and temporal subgridding interfaces is presented that allows implementing a novel spatial subgridding method and investigating the stability of each subalgorithm individually. Details are given for a spatial subgridding algorithm having a 1:3 mesh ratio. In the spatial subgridding algorithm, the fine-mesh is constructed with a recessed interface and the interpolation scheme is designed to be symmetric to maintain the stability of the update process. The stability of the spatial subgridding algorithm is analyzed with a matrix method. Numerical examples showing stability and accuracy are provided.
K. Xiao et al., "A Three-Dimensional FDTD Subgridding Algorithm with Separated Temporal and Spatial Interfaces and Related Stability Analysis," IEEE Transactions on Antennas and Propagation, vol. 55, no. 7, pp. 1981 - 1990, Institute of Electrical and Electronics Engineers (IEEE), Jul 2007.
The definitive version is available at https://doi.org/10.1109/TAP.2007.900180
Electrical and Computer Engineering
Electromagnetic Compatibility (EMC) Laboratory
Keywords and Phrases
Electromagnetic Wave Scattering; Finite Difference Time-Domain Analysis; Finite-Difference Time-Domain (FDTD); Finite-Different Time-Domain Subgrid Algorithm; Matrix Algebra; Matrix Method; Spatial Interfaces; Spatial Subgridding; Stability; Stability Analysis; Subgrid; Temporal Interfaces; Finite Difference Methods; Time Domain Analysis; Stability Analysis; Interpolation; Algorithm Design And Analysis; Reflection; Electromagnetic Compatibility; Laboratories; Partial Differential Equations; Electromagnetic Wave Scattering; Finite Difference Time-Domain Analysis
International Standard Serial Number (ISSN)
Article - Journal
© 2007 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
01 Jul 2007