BOR-FDTD subgridding based on finite element principles

Wouter Tierens, Daniël De Zutter

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

In this paper a recently developed provably passive and stable 3D FDTD subgridding technique, based on finite elements principles, is extended to body-of-revolution (BOR) FDTD. First, a suitable choice of basis functions is presented together with the mechanism to assemble them into an overall mesh consisting of coarse and fine mesh cells. Invoking appropriate mass-lumping concepts then leads to an explicit leapfrog time stepping algorithm for the amplitudes of the basis functions. Attention is devoted to provide the reader with insight into the updating equations, in particular at a subgridding boundary. Stability, grid reflection and dispersion are also discussed. Finally, some numerical examples for toroidal and cylindrical cavities demonstrate the stability and accuracy of the method.

Original languageEnglish
Pages (from-to)4519-4535
Number of pages17
JournalJournal of Computational Physics
Volume230
Issue number12
DOIs
StatePublished - Jun 1 2011
Externally publishedYes

Keywords

  • BOR-FDTD
  • Body-of-revolution
  • FDTD methods
  • H-Refinement
  • Subgridding

Fingerprint

Dive into the research topics of 'BOR-FDTD subgridding based on finite element principles'. Together they form a unique fingerprint.

Cite this