A Three-Dimensional FDTD Subgridding Algorithm With Separated Temporal and Spatial Interfaces and Related Stability Analysis

Xiao, Kai; Pommerenke, David; Drewniak, Jim

doi:10.1109/tap.2007.900180

Cited by 76 publications

(60 citation statements)

References 16 publications

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“…Advantageous features of the uniform subgridding schemes [3][4][5][6][7][8][9][10] are inherited for the development of a new robust subgridding scheme. The nearest neighbor interpolation is used as the consistent coupling method in time [3].…”

Section: Nonuniform Subgridding Algorithmmentioning

confidence: 99%

“…A stable subgridding scheme could be achieved by maintaining the consistency and symmetry of forward (from MG to SG) and backward (from SG to MG) couplings. Later, their method was improved in [6] by introducing the separation of temporal and spatial interfaces. The nearest neighbor interpolation in time given in [3] was adopted in [6], and the CFL factor used in their numerical experiments was not reported.…”

Section: Introductionmentioning

confidence: 99%

“…Subgridding schemes [3][4][5][6] successfully achieved the goal of stability, however, they have poor general applicability associated with material discontinuities at the interfaces or require additional special treatment to obtain it. Chilton and Lee, utilizing the "simple" interpolation method [7], developed a conservative and probably stable subgridding scheme based on the finite element principles in [8].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Novel Nonuniform Subgridding Scheme for FDTD Using an Optimal Interpolation Technique

Kim¹,

Arvas²,

Demir³

et al. 2012

PIER B

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Abstract-Finite-Difference Time-Domain (FDTD) subgridding schemes can significantly improve efficiency of various electromagnetic circuit simulations. However, numerous subgridding schemes suffer from issues associated with stability, efficiency, and material traverse capability. These issues limit general applicability of FDTD subgridding schemes to realistic problems. Herein, a robust nonuniform subgridding scheme is presented that overcomes those weaknesses. The scheme improves simulation accuracy with the aid of greatly increased stability margin and an optimal interpolation technique. It also improves simulation efficiency by allowing the use of time step factors as close as the Courant-Friedrichs-Lewy (CFL) limit. In addition, latetime stability and general applicability are verified through practical microstrip circuit simulation examples.

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Section: Nonuniform Subgridding Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Novel Nonuniform Subgridding Scheme for FDTD Using an Optimal Interpolation Technique

Kim¹,

Arvas²,

Demir³

et al. 2012

PIER B

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“…Many researchers in the past have been prompted to investigate subgridding technique as an analysis approach in the interaction between source and scatterer [6][7][8][9][10][11]. In general, this technique is used to condense the lattice at the point of interest locally and does not require any analytical formula to be taken into account, and hence it is appropriate for objects of any shape.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Field Computation for Power Transmission Lines Using Quasi-Static Sub-Gridding Finite-Difference Time-Domain Approach

et al. 2013

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“…For an introduction to BOR-FDTD we refer to Chapter 12 of [1] and to e.g., [8,9,10,11,12]. Subgridding has been thoroughly investigated in the past [13,14,15,16,17,18,19,20,21,22,23]. To develop BOR-FDTD subgridding, our starting point is the work of Chilton et.…”

Section: Introductionmentioning

confidence: 99%

BOR-FDTD subgridding based on finite element principles

Tierens¹,

Zutter²

2011

Journal of Computational Physics

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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 masslumping 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.

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A Three-Dimensional FDTD Subgridding Algorithm With Separated Temporal and Spatial Interfaces and Related Stability Analysis

Cited by 76 publications

References 16 publications

A Novel Nonuniform Subgridding Scheme for FDTD Using an Optimal Interpolation Technique

A Novel Nonuniform Subgridding Scheme for FDTD Using an Optimal Interpolation Technique

Electromagnetic Field Computation for Power Transmission Lines Using Quasi-Static Sub-Gridding Finite-Difference Time-Domain Approach

BOR-FDTD subgridding based on finite element principles

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