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   数值色散 在 航空航天科学与工程 分类中 的翻译结果: 查询用时:0.269秒
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数值色散
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  numerical dispersion
Genetic algorithm in reduction of numerical dispersion of 3-D ADI-FDTD method
      
A new method to reduce the numerical dispersion of the three-dimensional Alternating Direction Implicit Finite-Difference Time-Domain (3-D ADI-FDTD) method is proposed.
      
Firstly, the numerical formulations of the 3-D ADI-FDTD method are modified with the artificial anisotropy, and the new numerical dispersion relation is derived.
      
In addition the reduction of the numerical dispersion is investigated as the objective function of the AGA.
      
This paper presents the calculation of truncation errors, namely numerical diffusion and numerical dispersion for various finite difference schemes.
      
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  numerical dispersion
Genetic algorithm in reduction of numerical dispersion of 3-D ADI-FDTD method
      
A new method to reduce the numerical dispersion of the three-dimensional Alternating Direction Implicit Finite-Difference Time-Domain (3-D ADI-FDTD) method is proposed.
      
Firstly, the numerical formulations of the 3-D ADI-FDTD method are modified with the artificial anisotropy, and the new numerical dispersion relation is derived.
      
In addition the reduction of the numerical dispersion is investigated as the objective function of the AGA.
      
This paper presents the calculation of truncation errors, namely numerical diffusion and numerical dispersion for various finite difference schemes.
      
更多          


Attention was focused on the numerical dispersion property of 3-D ADI-FDTD (alternating-direction implicit finite-difference time-domain) method using the higher-order spatial difference. First, the iterative formulas of the numerical dispersion relation for the higher-order spatial difference were derived. And secondly, the numerical dispersion values were computed and compared for the second-order, fourth-order, sixth-order and tenth-order spatial difference along the maximum phase-velocity direction and the...

Attention was focused on the numerical dispersion property of 3-D ADI-FDTD (alternating-direction implicit finite-difference time-domain) method using the higher-order spatial difference. First, the iterative formulas of the numerical dispersion relation for the higher-order spatial difference were derived. And secondly, the numerical dispersion values were computed and compared for the second-order, fourth-order, sixth-order and tenth-order spatial difference along the maximum phase-velocity direction and the minimum phase-velocity direction, respectively. And consequently the numerical dispersion was investigated as a function of higher-order spatial difference. Finally it is found that the fourth-order spatial difference is better than others for the uniform cell case.

研究采用空间高阶差分近似的三维交替方向隐式时域有限差分法(ADIFDTD,AlternatingDirectionImplicitFiniteDifferenceTimeDomain)数值色散问题,首先推导了采用空间高阶差分近似的数值色散迭代公式,分别对最小相速方向和最大相速方向进行二阶、四阶、六阶、十阶空间差分数值色散误差的数值计算和比较,并分析数值色散对空间差分阶数的依赖关系,最后发现在均匀网格中采用四阶空间差分能得到较好的效果.

 
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