A method for incorporating different sized cells into the finite-difference time-domain analysis technique

Prescott, D.T.; Shuley, N.V.

doi:10.1109/75.165634

Cited by 81 publications

(29 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They include mesh refinement in both time and space [14]- [16], and mesh refinement in space only [17]. While the latter approach is much simpler to implement, the time and space subgridding yields a much more efficient code.…”

Section: Introductionmentioning

confidence: 99%

“…This results from the fact that, in the second approach, the stability condition has to be computed from the size of the smallest cell used and, thus, a small time step is needed in the whole problem space. The variable step-size method (VSSM) [15] and the mesh-refinement algorithm (MRA) [16], are similar to the proposed subgridding technique in the sense that they also make use of dividing the computational domain into two or more regions with different cell size. The disadvantage in using these methods is that both require the calculation of extra second-order difference equations at each coarse node on the boundary and also storage of an extra second-order difference-the required number of stored fields increases with the increase in the ratio of the fine and coarse cell sizes.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A stable subgridding algorithm and its application to eigenvalue problems

Krishnaiah

Railton

1999

IEEE Trans. Microwave Theory Techn.

View full text Add to dashboard Cite

Abstract-In this paper, a new and stable subgridding algorithm is proposed for three-dimensional problems which provides subgridding in both space and time. The concept of an equivalent-circuit representation and a novel leapfrog time integration scheme is used to ensure that the algorithm is stable and efficient. Practical applications of this algorithm in the characterization of arbitrarily filled dielectric resonators are reported.Index Terms-FDTD methods.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A stable subgridding algorithm and its application to eigenvalue problems

Krishnaiah

Railton

1999

IEEE Trans. Microwave Theory Techn.

View full text Add to dashboard Cite

show abstract

“…This is a known drawback of the FDTD method [13]. To overcome this drawback, subgridding techniques have been introduced in the literature [24][25][26][27][28][29][30][31][32][33]. In such techniques, part of the FDTD grid is replaced with a finer grid, which is called the subgrid [13].…”

Section: Two Dimensionsmentioning

confidence: 99%

On the application of the spectral element method in electromagnetic problems involving domain decomposition

Mahariq¹

2017

Turk J Elec Eng & Comp Sci

View full text Add to dashboard Cite

Abstract:One of the challenges in electromagnetics is to solve electromagnetic fields originated from a radiating source or a scattering object in distances that largely exceed the dimensions of the source or scatterer. In this paper, domain decomposition based on the application reasoning of the perfectly matched layer (PML) is studied by the spectral element method (SEM) for the first time in order to solve near and far electromagnetic fields without requiring substantially computational resources. Scattering from a loss-free dielectric cylinder and radiated fields from a line source are the problems utilized for the purpose of numerical demonstration in two dimensions in order to verify the successful application of SEM and its accuracy under domain decomposition. It is demonstrated that it is possible to accurately solve for near-field and far-field zones where millions of unknowns are encountered by using a typical personal computer.

show abstract

“…In order to increase the stability, some other authors have included the resolution of the wave equation at the boundary level. Different ways have been tested to improve the method, leading to the VSSM method [4] and the MRA approach [5].…”

Section: Multiscale Resolution Using a Subgridding Approachmentioning

confidence: 99%

Resolution of EMC problems using 3D time domain methods

2008

View full text Add to dashboard Cite

Abstract. Nowadays the number of boarded electronic devices is increasing and simultaneous, the number of electromagnetic perturbations also increases. Then, it becomes necessary to protect these equipments. This domain particularly concerns the ElectroMagnetic Compatibility where the problem is to find solutions to realize a cohabitation between all systems without interferences. As experiments are often expensive and limited, the theoretical approach is a good alternative. The choice of time domain methods is imposed by the nature of the perturbations which are generally transient pulses. So, in this paper, we will present some modelling problems in this area and propose some solutions.Résumé. De nos jours, on assisteà une augmentation du nombre de systèmesélectroniques embarqués. Parallèlement, le nombre de perturbateurs potentiels ne cesse de croître. Ce type de problème concerne le domaine de la compatibilitéélectromagnétiqueétudie plus particulièrement les problèmes de cohabitation des systèmes avec tous les parasitesélectromagnétiques. Les expérimentationsétant souvent coûteuses et limitées, une solution alternative est la simulation numérique. Le choix des approches temporelles est naturel de par l'aspect transitoire d'un grand nombre de perturbations. Dans cet article, nous allons présenter quelques problèmes de modélisation dans ce domaine et ainsi que proposer des solutions potentielles.

show abstract

A method for incorporating different sized cells into the finite-difference time-domain analysis technique

Cited by 81 publications

References 3 publications

A stable subgridding algorithm and its application to eigenvalue problems

A stable subgridding algorithm and its application to eigenvalue problems

On the application of the spectral element method in electromagnetic problems involving domain decomposition

Resolution of EMC problems using 3D time domain methods

Contact Info

Product

Resources

About