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 Antennae Propagation, Institute of Electrical and Electronics Engineers (IEEE), Jan 2007.
The definitive version is available at http://dx.doi.org/10.1109/TAP.2007.900180
Electrical and Computer Engineering
Materials Science and Engineering
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
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