BOR-FDTD subgridding based on finite element principles

JOURNAL OF COMPUTATIONAL PHYSICS

卷:230

Article

Tierens, Wouter¹  De Zutter, Daniel¹ 

[1] Univ Ghent, Dept Informat Technol, B-9000 Ghent, Belgium

关键词: FDTD methods;    BOR-FDTD;    Body-of-revolution;    Subgridding;    h-Refinement;   

DOI  :  10.1016/j.jcp.2011.02.028

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free