An Unconditionally Stable Hybrid FETD-FDTD Formulation Based on the Alternating-Direction Implicit Algorithm

Sharbaf, A Akbarzadeh; Sarraf-Shirazi, Reza

doi:10.1109/lawp.2010.2096553

Cited by 11 publications

(2 citation statements)

References 18 publications

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“…This idea makes use of the fast and simple characteristics of the FDTD method, and avoids the staircasing error of the FDTD method, which is more direct and effective than the traditional method of reducing unknowns. This scheme has been verified by comparing the results with those obtained by FETD [9][10][11][12][13]. The standard procedure requires the grids in the common area should be divided into tetrahedral elements for the FETD method.…”

Section: Introductionmentioning

confidence: 99%

“…The electromagnetic fields from the FDTD zone are converted to numerical fluxes and added into DGTD's formulations. Moreover, the tetrahedral elements used in the DGTD zone can be generated more freely, and it is not required to generate additional elements [13] to meet the mass-lumped element's standard. Such a procedure saves considerable computation time compared with traditional hybrid strategy.…”

Section: Introductionmentioning

confidence: 99%

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A Novel 3-D DGTD-FDTD Hybrid Method withOne Overlapping Virtual Layer

Wu,

Wang,

Lin

et al. 2024

ACES Journal

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Compared with the traditional finite difference time-domain (FDTD) method, the discontinuous Galerkin time-domain (DGTD) method may face the issue of intense computation. In this paper, a novel 3-D DGTD-FDTD hybrid method is proposed to dramatically reduce the unknowns of the DGTD method. Instead of the common mass-lumped elements, this virtual layer of the Yee grid is implemented on the intersecting boundary, which simplifies the mesh generation and reduces the number of unknowns. To validate the proposed method, two examples of sphere scattering and horn antenna are considered. The simulation results demonstrate the effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Novel 3-D DGTD-FDTD Hybrid Method withOne Overlapping Virtual Layer

Wu,

Wang,

Lin

et al. 2024

ACES Journal

View full text Add to dashboard Cite

show abstract

Hybrid unconditionally stable high‐order nonstandard schemes with optimal error‐controllable spectral resolution for complex microwave problems

Kantartzis

2012

Int J Numerical Modelling

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A hybrid unconditionally stable time-domain technique for the precise analysis and wideband performance characterization of 3D microwave systems is developed in this paper. Founded on a nontraditional differential discretization basis, the proposed technique launches a class of robust operators via an error-controllable procedure that offers enhanced spectral resolution and optimal spatial stencils. The key asset of the frequency-dependent algorithm is the novel high-order nonstandard approximators, whose tensorial properties preserve the hyperbolic character of Maxwell's equations. In this manner, the resulting formulation remains completely explicit and generates effective dual meshes free of artificial vector parasites and spurious modes. Moreover, the preceding schemes are fruitfully hybridized, in the context of nonoverlapping subspaces, with an alternating-direction implicit finite-element time-domain method in an effort to handle abruptly varying media boundaries and intricate geometries. Hence, an extensive decrease of dispersion errors is achieved, even when time-steps are chosen appreciably beyond stability limits. These advanced simulation competences are successfully applied to diverse real-world setups and composite configurations, thus validating the efficiency and universality of the proposed methodology.Amid the broad assortment of numerical tools, the contribution of the finite-difference time-domain (FDTD) algorithm [8] to the investigation of waveguide and antenna devices has been widely acknowledged, furnishing beneficial outcomes, along with its various powerful high-order renditions [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. Nevertheless, its applicability to contemporary scenarios is proven cumbersome, especially on a wideband basis, as most of the devices have many geometric details, arbitrary discontinuities, or involve dispersive materials, which call for prolonged simulations because of the Courant stability condition. Furthermore, the large electrical size of some cases dictates fine lattice resolutions together with the enforcement of nonphysical assumptions. Toward the circumvention of the stability limit, the alternating-direction implicit (ADI) concept has, lately, offered a promising means, which can allow the use of large time-steps during the update of field components [28,29]. In fact, since its initial advent, the ADI-FDTD algorithm became the topic of a systematic examination [30][31][32], whose principal deductions unveiled a serious shortcoming in practical implementations; the appearance of gradually increasing dispersion errors as time-steps depart from the Courant limit. For the mitigation of this problem, various efficient techniques have been, hitherto, presented for Cartesian [33][34][35][36][37][38][39][40][41] and nonorthogonal lattices [42,43].It is the objective of this paper to introduce a 3D frequency-dependent unconditionally stable timedomain methodology, based on a family of high-order nonstandard schemes, for the accurate modeling ...

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Study on frequency selective characteristics of the microstructure metallic grating in terahertz frequency range based on the hybrid implicit explicit‐pseudospectral time domain method

Chen

Zhang

et al. 2014

Int J Numerical Modelling

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In this paper, a hybrid implicit explicit-pseudospectral time domain method is presented to simulate the microstructure metallic grating. The time step size in this method has no relation with the fine spatial discretization, and the spatial discretization along the electrically large direction only needs two cells per wavelength. The three-dimensional formulas of the method are presented, and the time stability condition of the method is demonstrated. Numerical results show that the memory requirement of the hybrid implicit explicit-pseudospectral time domain method is reduced by 50% compared with the finite difference time domain method and the computation time is almost 1/40 of that of the finite difference time domain method.

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An Unconditionally Stable Hybrid FETD-FDTD Formulation Based on the Alternating-Direction Implicit Algorithm

Cited by 11 publications

References 18 publications

A Novel 3-D DGTD-FDTD Hybrid Method withOne Overlapping Virtual Layer

A Novel 3-D DGTD-FDTD Hybrid Method withOne Overlapping Virtual Layer

Hybrid unconditionally stable high‐order nonstandard schemes with optimal error‐controllable spectral resolution for complex microwave problems

Study on frequency selective characteristics of the microstructure metallic grating in terahertz frequency range based on the hybrid implicit explicit‐pseudospectral time domain method

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