A New 3-D Conformal PEC FDTD Scheme With User-Defined Geometric Precision and Derived Stability Criterion

Benkler, S.; Chavannes, N.; Kuster, Niels

doi:10.1109/tap.2006.875909

Cited by 65 publications

(39 citation statements)

References 12 publications

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“…The improved algorithm have solved the space division compared with other algorithms and this algorithm join the equivalent width of the technology, so the cross-section through a coarse grid accurate results can be obtained a fine mesh FDTD calculation time [ 11 ] . The minimum mesh size can be set on the basis of the dispersion and does not occur on a large number, so the algorithm use more less generated mesh compare with other algorithms on the total number of grid cells [12] . Furthermore, the algorithm is incremented by a geometric grid cell size and associated with the largest grid, so grid cells can flatly increase when making the solution space, and it can be avoid the phenomenon that the difference of adjacent mesh size is too large to occur numerical dispersion.…”

Section: Resultsmentioning

confidence: 99%

A new Zoning Graded Non-uniform Grid Generation Algorithm Including the Equivalent Width of Technology

Gong¹,

Yin²,

Yang³

et al. 2015

Proceedings of the 2015 International Conference on Electrical, Computer Engineering and Electronics

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Abstract. Analysis of the generation principle finite difference time domain (FDTD) grid， proposed non-uniform meshing algorithm based on the equivalent wi-dth of the geometric. In meshing software, we set R x , R y , R z . If reduced size along the x-axis model, it can be coarse mesh point on the basis of compliance with the numerical dispersion equation. Due to in the square mesh meshing size in the x, y, z direction is constantly changing,so get the equivalent size of the actual model, you need to obtain the average of the grid cell size along the direction of the coarse grid, is the ratio of the number of grid and size of the model. The half-size model of the grid is reduced by this average in the corresponding direction and getting the equivalent size model. And repeat the first step, conducted mesh. By numerical verification prove the accuracy and effectiveness of the new zoning graded non-uniform grid generation algorithm including the equivalent width of Technology in the FDTD simulation.

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Section: Resultsmentioning

confidence: 99%

A new Zoning Graded Non-uniform Grid Generation Algorithm Including the Equivalent Width of Technology

Gong¹,

Yin²,

Yang³

et al. 2015

Proceedings of the 2015 International Conference on Electrical, Computer Engineering and Electronics

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“…The simulation is run 512 time steps. Because the Dey-Mittra scheme is used, the Courant number was reduced to approximately 35% of the 2-D limit in order to ensure stability [25]. Fig.…”

Section: B Scattering From a Circular Cylindermentioning

confidence: 99%

On the Use of the Geometric Mean in FDTD Near-to-Far-Field Transformations

Robinson

Schneider

2007

IEEE Trans. Antennas Propagat.

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Abstract-Near-to-far-field transformations require the tangential electric and magnetic fields over a surface, which we call the integration boundary. However, the staggered nature of the finitedifference time-domain grid is problematic in that the electric and magnetic fields are not collocated in either space or time. For harmonic transformations, i.e., ones which rely upon a Fourier transform of the time-domain near-fields, one can account for the temporal offset with a simple phase correction in the frequency domain. To account for spatial offsets, previously an arithmetic mean of the time-domain fields to either side of the integration boundary has been used. Here we show that superior results are obtained by instead using a geometric mean of the harmonic fields to either side of the integration boundary.Index Terms-Finite-difference time-domain (FDTD) methods.

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“…For a given source, the time-step reduction increases the total number of time steps and lengthens the execution time, therefore lowering the efficiency of the CFDTD method. Benkler et al [4] proposed a method to substitute equivalent dielectric constants into the traditional FDTD code for the conformal scheme. According to the stability criterion, the increase of the closed surface in the small irregular cell is used as a tradeoff between accuracy and time-step size.…”

Section: Introductionmentioning

confidence: 99%

A New Scheme for the Conformal FDTD Method to Calculate the Radar Cross Section of Perfect Conducting Curved Objects

Kuo

2010

Antennas Wirel. Propag. Lett.

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The chief shortcoming of the conformal finite-difference time-domain (CFDTD) method is the global time-step reduction in order to avoid instability arising from small irregular cells. In this letter, we introduce a new conformal scheme to overcome this problem for the CFDTD method. The time-step reduction is applied only locally to the small irregular cells, which is only 1/3 of that in the regular cells. In order to update the electric field at the interface between the small irregular cell and its adjacent cells, extra magnetic fields next to the small irregular cell are introduced. Through this scheme, the time-step reduction is limited to a few small cells, and the numerical simulation can be the most efficiently implemented in the FDTD framework. Numerical accuracy is verified by comparison with the conventional CFDTD method for the radar cross section (RCS) of perfect conducting curved objects.

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A New 3-D Conformal PEC FDTD Scheme With User-Defined Geometric Precision and Derived Stability Criterion

Cited by 65 publications

References 12 publications

A new Zoning Graded Non-uniform Grid Generation Algorithm Including the Equivalent Width of Technology

A new Zoning Graded Non-uniform Grid Generation Algorithm Including the Equivalent Width of Technology

On the Use of the Geometric Mean in FDTD Near-to-Far-Field Transformations

A New Scheme for the Conformal FDTD Method to Calculate the Radar Cross Section of Perfect Conducting Curved Objects

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