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Article
A Three-Dimensional FDTD Subgridding Algorithm with Separated Temporal and Spatial Interfaces and Related Stability Analysis
IEEE Transactions on Antennae Propagation
  • Kai Xiao
  • David Pommerenke, Missouri University of Science and Technology
  • James L. Drewniak, Missouri University of Science and Technology
Abstract
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.
Department(s)
Electrical and Computer Engineering
Second Department
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
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2007 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
Publication Date
1-1-2007
Citation Information
Kai Xiao, David Pommerenke and James L. Drewniak. "A Three-Dimensional FDTD Subgridding Algorithm with Separated Temporal and Spatial Interfaces and Related Stability Analysis" IEEE Transactions on Antennae Propagation (2007)
Available at: http://works.bepress.com/david-pommerenke/25/